↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:28 PM UTC 2026

% Result   : Theorem 0.67s 1.01s
% Output   : Refutation 2.94s
% 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(f10,plain,
    ( hskp15
    | hskp7
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp20
    | hskp18
    | hskp23 ),
    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(f29,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | hskp18 ),
    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(f31,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp26 ),
    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(f36,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp16
      | hskp2 ),
    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(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(f45,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp4 ),
    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(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(f51,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | ~ c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | hskp7 ),
    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(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(f58,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c2_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | c2_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | hskp3 ),
    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(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(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(f75,plain,
    ( ~ hskp26
    | c2_1(a223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp26
    | c1_1(a223) ),
    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(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(f104,plain,
    ( ~ hskp19
    | c1_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(f111,plain,
    ( ~ hskp17
    | ~ c1_1(a243) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f115,plain,
    ( ~ hskp16
    | c2_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp16
    | c1_1(a239) ),
    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(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(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(f150,plain,
    ( ~ hskp7
    | ~ c1_1(a224) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp7
    | c3_1(a224) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp7
    | c0_1(a224) ),
    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(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(f182,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,[],[f13]) ).

fof(f183,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,[],[f18]) ).

fof(f185,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,[],[f25]) ).

fof(f186,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,[],[f26]) ).

fof(f187,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f188,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,[],[f30]) ).

fof(f189,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f190,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,[],[f32]) ).

fof(f191,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,[],[f33]) ).

fof(f192,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,[],[f34]) ).

fof(f193,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,[],[f35]) ).

fof(f194,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f195,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,[],[f39]) ).

fof(f196,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,[],[f41]) ).

fof(f197,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,[],[f42]) ).

fof(f199,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,[],[f44]) ).

fof(f200,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f201,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,[],[f46]) ).

fof(f202,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,[],[f47]) ).

fof(f203,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | ~ c1_1(X31)
      | ~ c3_1(X31)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f205,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,[],[f53]) ).

fof(f206,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,[],[f54]) ).

fof(f208,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,[],[f56]) ).

fof(f210,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | ~ c2_1(X15)
      | c2_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f211,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | c2_1(X13)
      | ~ c1_1(X13)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f214,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,[],[f64]) ).

fof(f217,definition,
    ( spl0_1
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f221,definition,
    ( spl0_2
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f225,definition,
    ( spl0_3
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f228,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f225,f221,f217]) ).

fof(f230,definition,
    ( spl0_4
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f234,definition,
    ( spl0_5
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f238,definition,
    ( spl0_6
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f241,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f238,f234,f230]) ).

fof(f243,definition,
    ( spl0_7
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_8
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f256,definition,
    ( spl0_10
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_3
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f9,f260,f256,f225]) ).

fof(f265,definition,
    ( spl0_12
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f269,definition,
    ( spl0_13
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f272,plain,
    ( spl0_2
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f10,f269,f265,f221]) ).

fof(f274,definition,
    ( spl0_14
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_15
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f281,plain,
    ( spl0_7
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f11,f278,f274,f243]) ).

fof(f287,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f291,definition,
    ( spl0_18
  <=> ! [X96] :
        ( ~ c1_1(X96)
        | ~ c3_1(X96)
        | ~ c2_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f292,plain,
    ( ! [X96] :
        ( ~ c2_1(X96)
        | ~ c3_1(X96)
        | ~ c1_1(X96) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f295,definition,
    ( spl0_19
  <=> ! [X95] :
        ( ~ c0_1(X95)
        | ~ c3_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X95] :
        ( ~ c0_1(X95)
        | ~ c3_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,definition,
    ( spl0_20
  <=> ! [X94] :
        ( ~ c0_1(X94)
        | ~ c2_1(X94)
        | ~ c1_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X94] :
        ( ~ c0_1(X94)
        | ~ c2_1(X94)
        | ~ c1_1(X94) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f300,plain,
    ( spl0_15
    | spl0_19
    | ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f182,f298,f287,f295,f278]) ).

fof(f302,definition,
    ( spl0_21
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_22
  <=> ! [X93] :
        ( c3_1(X93)
        | ~ c2_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X93] :
        ( ~ c0_1(X93)
        | ~ c2_1(X93)
        | c3_1(X93) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( spl0_21
    | ~ spl0_17
    | spl0_22 ),
    inference(avatar_split_clause,[],[f14,f306,f287,f302]) ).

fof(f310,definition,
    ( spl0_23
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_24
  <=> ! [X92] :
        ( c3_1(X92)
        | ~ c1_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c1_1(X92)
        | c3_1(X92) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f316,plain,
    ( spl0_1
    | spl0_23
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f15,f314,f287,f310,f217]) ).

fof(f318,definition,
    ( spl0_25
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_26
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f325,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f16,f314,f287,f322,f318]) ).

fof(f326,plain,
    ( spl0_4
    | spl0_10
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f17,f314,f287,f256,f230]) ).

fof(f327,plain,
    ( spl0_4
    | spl0_19
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f183,f314,f287,f295,f230]) ).

fof(f333,definition,
    ( spl0_28
  <=> ! [X87] :
        ( c2_1(X87)
        | ~ c3_1(X87)
        | ~ c1_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | ~ c3_1(X87)
        | c2_1(X87) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f336,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_17
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f333,f287,f278,f217]) ).

fof(f338,definition,
    ( spl0_29
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_30
  <=> ! [X85] :
        ( c2_1(X85)
        | ~ c1_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | c2_1(X85)
        | ~ c0_1(X85) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_29
    | spl0_15
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f21,f342,f287,f278,f338]) ).

fof(f346,definition,
    ( spl0_31
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f349,plain,
    ( spl0_14
    | spl0_31
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f22,f342,f287,f346,f274]) ).

fof(f351,definition,
    ( spl0_32
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f356,definition,
    ( spl0_33
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c0_1(X81)
        | c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f358,plain,
    ( spl0_26
    | spl0_13
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f24,f356,f287,f269,f322]) ).

fof(f360,definition,
    ( spl0_34
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | ~ c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_21
    | spl0_33
    | ~ spl0_17
    | spl0_34 ),
    inference(avatar_split_clause,[],[f185,f360,f287,f356,f302]) ).

fof(f364,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_36
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | ~ c0_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | ~ c0_1(X77) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_35
    | spl0_34
    | ~ spl0_17
    | spl0_36 ),
    inference(avatar_split_clause,[],[f186,f368,f287,f360,f364]) ).

fof(f372,definition,
    ( spl0_37
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f376,definition,
    ( spl0_38
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_14
    | spl0_37
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f27,f376,f287,f372,f274]) ).

fof(f379,plain,
    ( spl0_13
    | spl0_37
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f28,f376,f287,f372,f269]) ).

fof(f381,definition,
    ( spl0_39
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | c3_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | c3_1(X73) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f383,plain,
    ( spl0_14
    | spl0_28
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f187,f381,f287,f333,f274]) ).

fof(f384,plain,
    ( spl0_37
    | spl0_30
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f188,f381,f287,f342,f372]) ).

fof(f386,definition,
    ( spl0_40
  <=> ! [X69] :
        ( c1_1(X69)
        | ~ c3_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | ~ c3_1(X69)
        | c2_1(X69) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f388,plain,
    ( spl0_32
    | spl0_28
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f189,f386,f287,f333,f351]) ).

fof(f390,definition,
    ( spl0_41
  <=> ! [X68] :
        ( ~ c0_1(X68)
        | ~ c3_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | ~ c0_1(X68)
        | ~ c2_1(X68) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f393,definition,
    ( spl0_42
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_2
    | spl0_41
    | ~ spl0_17
    | spl0_42 ),
    inference(avatar_split_clause,[],[f190,f393,f287,f390,f221]) ).

fof(f397,definition,
    ( spl0_43
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f401,definition,
    ( spl0_44
  <=> ! [X65] :
        ( c1_1(X65)
        | c3_1(X65)
        | c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X65] :
        ( c2_1(X65)
        | c3_1(X65)
        | c1_1(X65) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_43
    | spl0_41
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f191,f401,f287,f390,f397]) ).

fof(f404,plain,
    ( spl0_26
    | spl0_41
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f192,f401,f287,f390,f322]) ).

fof(f406,definition,
    ( spl0_45
  <=> ! [X62] :
        ( c2_1(X62)
        | ~ c3_1(X62)
        | ~ c0_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X62] :
        ( c2_1(X62)
        | ~ c3_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f409,definition,
    ( spl0_46
  <=> ! [X61] :
        ( c0_1(X61)
        | ~ c3_1(X61)
        | ~ c2_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X61] :
        ( c0_1(X61)
        | ~ c3_1(X61)
        | ~ c2_1(X61) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_31
    | spl0_45
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f193,f409,f287,f406,f346]) ).

fof(f412,plain,
    ( spl0_18
    | spl0_42
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f194,f409,f287,f393,f291]) ).

fof(f414,definition,
    ( spl0_47
  <=> ! [X57] :
        ( c0_1(X57)
        | ~ c3_1(X57)
        | ~ c1_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | c0_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_5
    | spl0_9
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f37,f414,f287,f251,f234]) ).

fof(f422,plain,
    ( spl0_1
    | spl0_34
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f195,f414,f287,f360,f217]) ).

fof(f424,definition,
    ( spl0_49
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f428,definition,
    ( spl0_50
  <=> ! [X51] :
        ( c1_1(X51)
        | ~ c0_1(X51)
        | c3_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X51] :
        ( c1_1(X51)
        | ~ c0_1(X51)
        | c3_1(X51) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_39
    | spl0_50
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f196,f424,f287,f428,f381]) ).

fof(f432,definition,
    ( spl0_51
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | c3_1(X48) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_8
    | spl0_24
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f197,f432,f287,f314,f247]) ).

fof(f437,definition,
    ( spl0_52
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | ~ c1_1(X43)
        | c0_1(X43) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_20
    | spl0_24
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f199,f437,f287,f314,f298]) ).

fof(f440,plain,
    ( spl0_23
    | spl0_49
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f200,f437,f287,f424,f310]) ).

fof(f442,definition,
    ( spl0_53
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c3_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f443,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38)
        | c2_1(X38) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f444,plain,
    ( spl0_33
    | spl0_34
    | ~ spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f201,f442,f287,f360,f356]) ).

fof(f445,plain,
    ( spl0_28
    | spl0_42
    | ~ spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f202,f442,f287,f393,f333]) ).

fof(f447,definition,
    ( spl0_54
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f451,definition,
    ( spl0_55
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f454,plain,
    ( spl0_8
    | spl0_55
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f49,f447,f287,f451,f247]) ).

fof(f456,definition,
    ( spl0_56
  <=> ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( spl0_26
    | spl0_10
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f50,f456,f287,f256,f322]) ).

fof(f459,plain,
    ( spl0_12
    | spl0_19
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f203,f456,f287,f295,f265]) ).

fof(f464,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f205,f456,f287,f356,f322]) ).

fof(f465,plain,
    ( spl0_31
    | spl0_46
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f206,f456,f287,f409,f346]) ).

fof(f468,definition,
    ( spl0_58
  <=> ! [X19] :
        ( c0_1(X19)
        | ~ c3_1(X19)
        | c1_1(X19) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X19] :
        ( c1_1(X19)
        | ~ c3_1(X19)
        | c0_1(X19) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_19
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f208,f468,f287,f295]) ).

fof(f472,plain,
    ( spl0_28
    | spl0_39
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f210,f468,f287,f381,f333]) ).

fof(f473,plain,
    ( spl0_4
    | spl0_54
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f468,f287,f447,f230]) ).

fof(f475,definition,
    ( spl0_59
  <=> ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f476,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | ~ c2_1(X11)
        | c0_1(X11) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f477,plain,
    ( spl0_23
    | spl0_55
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f60,f475,f287,f451,f310]) ).

fof(f480,definition,
    ( spl0_60
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f482,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f62,f480,f287,f234,f230]) ).

fof(f484,plain,
    ( spl0_26
    | spl0_45
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f214,f480,f287,f406,f322]) ).

fof(f490,definition,
    ( spl0_62
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f493,plain,
    ( spl0_62
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f66,f372,f490]) ).

fof(f495,definition,
    ( spl0_63
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f498,plain,
    ( spl0_63
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f67,f372,f495]) ).

fof(f500,definition,
    ( spl0_64
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f502,plain,
    ( c0_1(a246)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( spl0_64
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f68,f372,f500]) ).

fof(f506,definition,
    ( spl0_65
  <=> c3_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f508,plain,
    ( c3_1(a232)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f509,plain,
    ( spl0_65
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f70,f302,f506]) ).

fof(f511,definition,
    ( spl0_66
  <=> c2_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f513,plain,
    ( c2_1(a232)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f514,plain,
    ( spl0_66
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f71,f302,f511]) ).

fof(f516,definition,
    ( spl0_67
  <=> c0_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f518,plain,
    ( c0_1(a232)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f519,plain,
    ( spl0_67
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f72,f302,f516]) ).

fof(f527,definition,
    ( spl0_69
  <=> c2_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f529,plain,
    ( c2_1(a223)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( spl0_69
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f75,f351,f527]) ).

fof(f532,definition,
    ( spl0_70
  <=> c1_1(a223) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_70
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f76,f351,f532]) ).

fof(f538,definition,
    ( spl0_71
  <=> c3_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c3_1(a288)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( ~ spl0_71
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f78,f238,f538]) ).

fof(f543,definition,
    ( spl0_72
  <=> c0_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c0_1(a288)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f546,plain,
    ( ~ spl0_72
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f79,f238,f543]) ).

fof(f548,definition,
    ( spl0_73
  <=> c1_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_73
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f80,f238,f548]) ).

fof(f554,definition,
    ( spl0_74
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f556,plain,
    ( ~ c3_1(a282)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f557,plain,
    ( ~ spl0_74
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f82,f260,f554]) ).

fof(f559,definition,
    ( spl0_75
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ c1_1(a282)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f562,plain,
    ( ~ spl0_75
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f83,f260,f559]) ).

fof(f564,definition,
    ( spl0_76
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f566,plain,
    ( c0_1(a282)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( spl0_76
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f84,f260,f564]) ).

fof(f570,definition,
    ( spl0_77
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f86,f243,f570]) ).

fof(f575,definition,
    ( spl0_78
  <=> c2_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ c2_1(a278)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f578,plain,
    ( ~ spl0_78
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f87,f243,f575]) ).

fof(f602,definition,
    ( spl0_83
  <=> c2_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_83
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f338,f602]) ).

fof(f607,definition,
    ( spl0_84
  <=> c0_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c0_1(a260)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_84
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f338,f607]) ).

fof(f612,definition,
    ( spl0_85
  <=> c1_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f615,plain,
    ( spl0_85
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f96,f338,f612]) ).

fof(f618,definition,
    ( spl0_86
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c3_1(a259)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl0_86
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f278,f618]) ).

fof(f623,definition,
    ( spl0_87
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f626,plain,
    ( spl0_87
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f99,f278,f623]) ).

fof(f628,definition,
    ( spl0_88
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f630,plain,
    ( c0_1(a259)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( spl0_88
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f100,f278,f628]) ).

fof(f634,definition,
    ( spl0_89
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ c3_1(a252)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( ~ spl0_89
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f102,f364,f634]) ).

fof(f639,definition,
    ( spl0_90
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ c2_1(a252)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f642,plain,
    ( ~ spl0_90
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f103,f364,f639]) ).

fof(f644,definition,
    ( spl0_91
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f646,plain,
    ( c1_1(a252)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f647,plain,
    ( spl0_91
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f104,f364,f644]) ).

fof(f650,definition,
    ( spl0_92
  <=> c2_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c2_1(a247)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f106,f274,f650]) ).

fof(f655,definition,
    ( spl0_93
  <=> c3_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f657,plain,
    ( c3_1(a247)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl0_93
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f107,f274,f655]) ).

fof(f660,definition,
    ( spl0_94
  <=> c0_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f662,plain,
    ( c0_1(a247)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f108,f274,f660]) ).

fof(f671,definition,
    ( spl0_96
  <=> c1_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f673,plain,
    ( ~ c1_1(a243)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f674,plain,
    ( ~ spl0_96
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f111,f397,f671]) ).

fof(f676,definition,
    ( spl0_97
  <=> c0_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ c0_1(a243)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl0_97
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f112,f397,f676]) ).

fof(f687,definition,
    ( spl0_99
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f689,plain,
    ( c2_1(a239)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( spl0_99
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f115,f251,f687]) ).

fof(f692,definition,
    ( spl0_100
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f695,plain,
    ( spl0_100
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f116,f251,f692]) ).

fof(f698,definition,
    ( spl0_101
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ c3_1(a238)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( ~ spl0_101
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f118,f269,f698]) ).

fof(f703,definition,
    ( spl0_102
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f705,plain,
    ( c2_1(a238)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( spl0_102
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f119,f269,f703]) ).

fof(f708,definition,
    ( spl0_103
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f710,plain,
    ( c0_1(a238)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,plain,
    ( spl0_103
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f120,f269,f708]) ).

fof(f730,definition,
    ( spl0_107
  <=> c3_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f732,plain,
    ( ~ c3_1(a236)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f733,plain,
    ( ~ spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f217,f730]) ).

fof(f735,definition,
    ( spl0_108
  <=> c2_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f737,plain,
    ( ~ c2_1(a236)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f217,f735]) ).

fof(f740,definition,
    ( spl0_109
  <=> c1_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f743,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f217,f740]) ).

fof(f744,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f217,f287]) ).

fof(f746,definition,
    ( spl0_110
  <=> c3_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ c3_1(a235)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( ~ spl0_110
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f130,f318,f746]) ).

fof(f756,definition,
    ( spl0_112
  <=> c0_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f758,plain,
    ( ~ c0_1(a235)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( ~ spl0_112
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f132,f318,f756]) ).

fof(f762,definition,
    ( spl0_113
  <=> c1_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ spl0_113
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f221,f762]) ).

fof(f767,definition,
    ( spl0_114
  <=> c3_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a230)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( spl0_114
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f135,f221,f767]) ).

fof(f772,definition,
    ( spl0_115
  <=> c2_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f774,plain,
    ( c2_1(a230)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( spl0_115
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f136,f221,f772]) ).

fof(f776,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f137,f221,f287]) ).

fof(f778,definition,
    ( spl0_116
  <=> c0_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c0_1(a229)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_116
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f225,f778]) ).

fof(f783,definition,
    ( spl0_117
  <=> c3_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f785,plain,
    ( c3_1(a229)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( spl0_117
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f225,f783]) ).

fof(f788,definition,
    ( spl0_118
  <=> c2_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f790,plain,
    ( c2_1(a229)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f225,f788]) ).

fof(f792,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f225,f287]) ).

fof(f794,definition,
    ( spl0_119
  <=> c2_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ c2_1(a228)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f142,f247,f794]) ).

fof(f799,definition,
    ( spl0_120
  <=> c1_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ c1_1(a228)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( ~ spl0_120
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f143,f247,f799]) ).

fof(f804,definition,
    ( spl0_121
  <=> c3_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f806,plain,
    ( c3_1(a228)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( spl0_121
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f144,f247,f804]) ).

fof(f810,definition,
    ( spl0_122
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ c3_1(a225)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_122
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f146,f256,f810]) ).

fof(f815,definition,
    ( spl0_123
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ spl0_123
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f147,f256,f815]) ).

fof(f820,definition,
    ( spl0_124
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f822,plain,
    ( c0_1(a225)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( spl0_124
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f148,f256,f820]) ).

fof(f826,definition,
    ( spl0_125
  <=> c1_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f828,plain,
    ( ~ c1_1(a224)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( ~ spl0_125
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f150,f265,f826]) ).

fof(f831,definition,
    ( spl0_126
  <=> c3_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f833,plain,
    ( c3_1(a224)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_126
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f151,f265,f831]) ).

fof(f836,definition,
    ( spl0_127
  <=> c0_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f838,plain,
    ( c0_1(a224)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_127
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f152,f265,f836]) ).

fof(f842,definition,
    ( spl0_128
  <=> c2_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ spl0_128
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f154,f346,f842]) ).

fof(f847,definition,
    ( spl0_129
  <=> c1_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f849,plain,
    ( c1_1(a221)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( spl0_129
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f155,f346,f847]) ).

fof(f852,definition,
    ( spl0_130
  <=> c0_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f854,plain,
    ( c0_1(a221)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f855,plain,
    ( spl0_130
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f156,f346,f852]) ).

fof(f874,definition,
    ( spl0_134
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ c1_1(a218)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( ~ spl0_134
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f162,f310,f874]) ).

fof(f879,definition,
    ( spl0_135
  <=> c0_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ c0_1(a218)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( ~ spl0_135
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f163,f310,f879]) ).

fof(f884,definition,
    ( spl0_136
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f886,plain,
    ( c3_1(a218)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f887,plain,
    ( spl0_136
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f164,f310,f884]) ).

fof(f890,definition,
    ( spl0_137
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ spl0_137
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f166,f230,f890]) ).

fof(f895,definition,
    ( spl0_138
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f897,plain,
    ( ~ c0_1(a216)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f898,plain,
    ( ~ spl0_138
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f230,f895]) ).

fof(f900,definition,
    ( spl0_139
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f902,plain,
    ( c3_1(a216)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f903,plain,
    ( spl0_139
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f168,f230,f900]) ).

fof(f906,definition,
    ( spl0_140
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ c1_1(a215)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( ~ spl0_140
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f170,f234,f906]) ).

fof(f911,definition,
    ( spl0_141
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ c0_1(a215)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl0_141
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f171,f234,f911]) ).

fof(f916,definition,
    ( spl0_142
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f918,plain,
    ( c2_1(a215)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_142
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f172,f234,f916]) ).

fof(f922,definition,
    ( spl0_143
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ c0_1(a214)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( ~ spl0_143
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f174,f451,f922]) ).

fof(f927,definition,
    ( spl0_144
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f929,plain,
    ( c2_1(a214)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl0_144
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f175,f451,f927]) ).

fof(f932,definition,
    ( spl0_145
  <=> c1_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f935,plain,
    ( spl0_145
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f176,f451,f932]) ).

fof(f938,definition,
    ( spl0_146
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f940,plain,
    ( ~ c2_1(a213)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f941,plain,
    ( ~ spl0_146
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f178,f322,f938]) ).

fof(f943,definition,
    ( spl0_147
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f945,plain,
    ( c3_1(a213)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_147
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f179,f322,f943]) ).

fof(f948,definition,
    ( spl0_148
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f950,plain,
    ( c1_1(a213)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( spl0_148
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f322,f948]) ).

fof(f957,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c1_1(X92) )
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f315,f296]) ).

fof(f959,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | ~ c1_1(X87) )
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f334,f292]) ).

fof(f961,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c3_1(X81) )
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f357,f307]) ).

fof(f962,plain,
    ( c3_1(a282)
    | ~ spl0_22
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f961,f566]) ).

fof(f963,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f962,f556]) ).

fof(f964,plain,
    ( ~ spl0_22
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f963]) ).

fof(f968,plain,
    ( ~ c3_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_19
    | ~ spl0_67 ),
    inference(resolution,[],[f518,f296]) ).

fof(f969,plain,
    ( c2_1(a282)
    | c3_1(a282)
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f357,f566]) ).

fof(f971,plain,
    ( c2_1(a282)
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f969,f556]) ).

fof(f985,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f377,f957]) ).

fof(f987,plain,
    ( ~ c2_1(a232)
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(resolution,[],[f985,f518]) ).

fof(f988,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f987,f513]) ).

fof(f989,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f988]) ).

fof(f995,plain,
    ( ~ c1_1(a246)
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(resolution,[],[f502,f957]) ).

fof(f1000,plain,
    ( c2_1(a259)
    | c3_1(a259)
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f630,f357]) ).

fof(f1001,plain,
    ( c2_1(a259)
    | ~ spl0_33
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1000,f620]) ).

fof(f1016,plain,
    ( ~ c1_1(a259)
    | c3_1(a259)
    | ~ spl0_24
    | ~ spl0_88 ),
    inference(resolution,[],[f315,f630]) ).

fof(f1026,plain,
    ( ~ c2_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(resolution,[],[f299,f502]) ).

fof(f1030,plain,
    ( ! [X76] :
        ( ~ c2_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f377,f299]) ).

fof(f1039,plain,
    ( ~ c0_1(a230)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_115 ),
    inference(resolution,[],[f1030,f774]) ).

fof(f1040,plain,
    ( ~ c0_1(a232)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f1030,f513]) ).

fof(f1047,definition,
    ( spl0_150
  <=> c1_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ c3_1(a229)
    | ~ c1_1(a229)
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(resolution,[],[f790,f292]) ).

fof(f1059,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c1_1(X85) )
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f343,f299]) ).

fof(f1074,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | c1_1(X67) )
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f394,f1030]) ).

fof(f1087,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f361,f387]) ).

fof(f1119,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_20
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f425,f299]) ).

fof(f1122,plain,
    ( c0_1(a213)
    | c2_1(a213)
    | ~ spl0_53
    | ~ spl0_147 ),
    inference(resolution,[],[f443,f945]) ).

fof(f1128,plain,
    ( ! [X34] :
        ( ~ c1_1(X34)
        | c0_1(X34) )
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f448,f1119]) ).

fof(f1144,plain,
    ( ~ c3_1(a228)
    | c2_1(a228)
    | ~ spl0_40
    | spl0_120 ),
    inference(resolution,[],[f801,f387]) ).

fof(f1147,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c0_1(X43) )
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f438,f415]) ).

fof(f1148,plain,
    ( spl0_119
    | ~ spl0_121
    | ~ spl0_40
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1144,f799,f386,f804,f794]) ).

fof(f1153,plain,
    ( c0_1(a228)
    | c2_1(a228)
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(resolution,[],[f806,f443]) ).

fof(f1158,plain,
    ( c0_1(a252)
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_91 ),
    inference(resolution,[],[f1147,f646]) ).

fof(f1195,definition,
    ( spl0_152
  <=> c2_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1200,plain,
    ( c0_1(a218)
    | c2_1(a218)
    | ~ spl0_53
    | ~ spl0_136 ),
    inference(resolution,[],[f886,f443]) ).

fof(f1205,definition,
    ( spl0_153
  <=> c3_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1206,plain,
    ( c3_1(a215)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1222,plain,
    ( ~ c1_1(a214)
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f1119,f929]) ).

fof(f1231,plain,
    ( ~ c0_1(a238)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_102 ),
    inference(resolution,[],[f705,f1030]) ).

fof(f1233,plain,
    ( ~ spl0_103
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1231,f703,f376,f298,f708]) ).

fof(f1239,plain,
    ( ~ c2_1(a238)
    | ~ c1_1(a238)
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(resolution,[],[f710,f299]) ).

fof(f1240,plain,
    ( ~ c1_1(a238)
    | c3_1(a238)
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(resolution,[],[f710,f315]) ).

fof(f1245,definition,
    ( spl0_155
  <=> c1_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1288,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f361,f382]) ).

fof(f1296,definition,
    ( spl0_156
  <=> c0_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1298,plain,
    ( c0_1(a230)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1296]) ).

fof(f1312,definition,
    ( spl0_158
  <=> c1_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1331,definition,
    ( spl0_159
  <=> c2_1(a224) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1333,plain,
    ( c2_1(a224)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1331]) ).

fof(f1336,plain,
    ( c1_1(a224)
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(resolution,[],[f838,f1074]) ).

fof(f1339,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1336,f828]) ).

fof(f1340,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1339]) ).

fof(f1349,plain,
    ( c1_1(a224)
    | ~ spl0_34
    | ~ spl0_40
    | ~ spl0_126 ),
    inference(resolution,[],[f1087,f833]) ).

fof(f1359,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_40
    | spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1349,f828]) ).

fof(f1360,plain,
    ( ~ spl0_34
    | ~ spl0_40
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1359]) ).

fof(f1380,plain,
    ( ~ spl0_156
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1039,f772,f376,f298,f1296]) ).

fof(f1391,plain,
    ( ~ spl0_67
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1040,f511,f376,f298,f516]) ).

fof(f1409,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | ~ c3_1(X95) )
    | ~ spl0_19
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f296,f415]) ).

fof(f1417,plain,
    ( ~ spl0_63
    | ~ spl0_62
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1026,f500,f298,f490,f495]) ).

fof(f1420,plain,
    ( ~ c1_1(a259)
    | ~ spl0_24
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1016,f620]) ).

fof(f1428,plain,
    ( ~ spl0_158
    | ~ spl0_117
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1053,f788,f291,f783,f1312]) ).

fof(f1435,plain,
    ( ~ spl0_87
    | ~ spl0_24
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1420,f628,f618,f314,f623]) ).

fof(f1448,definition,
    ( spl0_160
  <=> c2_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1449,plain,
    ( c2_1(a288)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1450,plain,
    ( ~ c2_1(a288)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1484,plain,
    ( ~ c1_1(a221)
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(resolution,[],[f957,f854]) ).

fof(f1488,plain,
    ( ~ c1_1(a238)
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(resolution,[],[f957,f710]) ).

fof(f1493,plain,
    ( ~ spl0_155
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1488,f708,f314,f295,f1245]) ).

fof(f1503,definition,
    ( spl0_163
  <=> c3_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1507,plain,
    ( ~ spl0_129
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1484,f852,f314,f295,f847]) ).

fof(f1513,plain,
    ( ~ c1_1(a229)
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_117 ),
    inference(resolution,[],[f959,f785]) ).

fof(f1527,plain,
    ( ~ spl0_158
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1513,f783,f333,f291,f1312]) ).

fof(f1529,plain,
    ( ~ c0_1(a259)
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | spl0_86
    | ~ spl0_88 ),
    inference(resolution,[],[f1001,f1030]) ).

fof(f1530,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1529,f630]) ).

fof(f1531,plain,
    ( ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1548,plain,
    ( c3_1(a259)
    | ~ spl0_22
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f961,f630]) ).

fof(f1586,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c0_1(X19) )
    | ~ spl0_47
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f469,f415]) ).

fof(f1669,plain,
    ( c0_1(a229)
    | ~ spl0_47
    | ~ spl0_58
    | ~ spl0_117 ),
    inference(resolution,[],[f1586,f785]) ).

fof(f1687,plain,
    ( ~ c3_1(a213)
    | ~ spl0_19
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(resolution,[],[f1409,f950]) ).

fof(f1708,definition,
    ( spl0_166
  <=> c0_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1710,plain,
    ( c0_1(a213)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1708]) ).

fof(f1715,plain,
    ( ~ spl0_155
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1239,f708,f298,f703,f1245]) ).

fof(f1717,plain,
    ( ! [X77] :
        ( ~ c0_1(X77)
        | ~ c3_1(X77) )
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f369,f1409]) ).

fof(f1732,plain,
    ( ~ c1_1(a221)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(resolution,[],[f1059,f854]) ).

fof(f1775,plain,
    ( spl0_116
    | ~ spl0_47
    | ~ spl0_58
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1669,f783,f468,f414,f778]) ).

fof(f1808,plain,
    ( ! [X34] : ~ c1_1(X34)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f1128,f1059]) ).

fof(f1809,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c3_1(X51) )
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f429,f1059]) ).

fof(f1823,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(resolution,[],[f1808,f646]) ).

fof(f1824,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1823]) ).

fof(f1836,plain,
    ( ~ c3_1(a247)
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_94 ),
    inference(resolution,[],[f1717,f662]) ).

fof(f1838,plain,
    ( ~ c3_1(a232)
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_67 ),
    inference(resolution,[],[f1717,f518]) ).

fof(f1839,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f1838,f508]) ).

fof(f1840,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1839]) ).

fof(f1890,plain,
    ( c3_1(a238)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_50
    | ~ spl0_103 ),
    inference(resolution,[],[f1809,f710]) ).

fof(f1894,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_50
    | spl0_101
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1890,f700]) ).

fof(f1895,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_50
    | spl0_101
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1926,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | ~ c0_1(X77) )
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f369,f1059]) ).

fof(f1983,plain,
    ( c2_1(a225)
    | c3_1(a225)
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(resolution,[],[f357,f822]) ).

fof(f1993,plain,
    ( c2_1(a225)
    | ~ spl0_33
    | spl0_122
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1983,f812]) ).

fof(f1994,plain,
    ( spl0_123
    | ~ spl0_33
    | spl0_122
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1993,f820,f810,f356,f815]) ).

fof(f1997,plain,
    ( c1_1(a215)
    | c3_1(a215)
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(resolution,[],[f382,f918]) ).

fof(f2012,plain,
    ( c3_1(a215)
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f1997,f908]) ).

fof(f2024,plain,
    ( ~ spl0_145
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1222,f927,f424,f298,f932]) ).

fof(f2085,plain,
    ( c0_1(a228)
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1153,f796]) ).

fof(f2090,plain,
    ( c0_1(a230)
    | ~ spl0_47
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(resolution,[],[f769,f1586]) ).

fof(f2092,plain,
    ( spl0_156
    | ~ spl0_47
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2090,f767,f468,f414,f1296]) ).

fof(f2108,plain,
    ( ~ c1_1(a239)
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_99 ),
    inference(resolution,[],[f1119,f689]) ).

fof(f2111,plain,
    ( ~ c1_1(a288)
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_160 ),
    inference(resolution,[],[f1119,f1449]) ).

fof(f2115,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | ~ c3_1(X87) )
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f334,f1119]) ).

fof(f2116,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f361,f2115]) ).

fof(f2123,plain,
    ( ~ c2_1(a229)
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_49
    | ~ spl0_117 ),
    inference(resolution,[],[f2116,f785]) ).

fof(f2163,plain,
    ( c3_1(a236)
    | c1_1(a236)
    | ~ spl0_44
    | spl0_108 ),
    inference(resolution,[],[f402,f737]) ).

fof(f2176,plain,
    ( c1_1(a236)
    | ~ spl0_44
    | spl0_107
    | spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2163,f732]) ).

fof(f2192,plain,
    ( spl0_109
    | ~ spl0_44
    | spl0_107
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2176,f735,f730,f401,f740]) ).

fof(f2245,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | c0_1(X32) )
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f457,f1586]) ).

fof(f2363,plain,
    ( ~ spl0_73
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f2111,f1448,f424,f298,f548]) ).

fof(f2369,definition,
    ( spl0_168
  <=> c3_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f2370,plain,
    ( ~ c3_1(a260)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f2369]) ).

fof(f2371,plain,
    ( c3_1(a260)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2369]) ).

fof(f2410,plain,
    ( ~ spl0_129
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1732,f852,f342,f298,f847]) ).

fof(f2442,plain,
    ( c0_1(a288)
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_58
    | spl0_160 ),
    inference(resolution,[],[f1450,f2245]) ).

fof(f2444,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_56
    | ~ spl0_58
    | spl0_72
    | spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2442,f545]) ).

fof(f2445,plain,
    ( ~ spl0_47
    | ~ spl0_56
    | ~ spl0_58
    | spl0_72
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2444]) ).

fof(f2448,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | c3_1(X32) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f457,f357]) ).

fof(f2462,plain,
    ( c3_1(a278)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_78 ),
    inference(resolution,[],[f2448,f577]) ).

fof(f2480,plain,
    ( ~ c3_1(a218)
    | ~ c2_1(a218)
    | ~ spl0_46
    | spl0_135 ),
    inference(resolution,[],[f410,f881]) ).

fof(f2482,plain,
    ( ~ c3_1(a229)
    | ~ c2_1(a229)
    | ~ spl0_46
    | spl0_116 ),
    inference(resolution,[],[f410,f780]) ).

fof(f2487,plain,
    ( ~ c2_1(a229)
    | ~ spl0_46
    | spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2482,f785]) ).

fof(f2488,plain,
    ( ~ c2_1(a218)
    | ~ spl0_46
    | spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2480,f886]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_46
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2487,f790]) ).

fof(f2490,plain,
    ( ~ spl0_46
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2519,plain,
    ( ~ c3_1(a228)
    | ~ c0_1(a228)
    | ~ spl0_45
    | spl0_119 ),
    inference(resolution,[],[f407,f796]) ).

fof(f2520,plain,
    ( ~ c3_1(a247)
    | ~ c0_1(a247)
    | ~ spl0_45
    | spl0_92 ),
    inference(resolution,[],[f407,f652]) ).

fof(f2528,plain,
    ( ~ c0_1(a247)
    | ~ spl0_45
    | spl0_92
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f2520,f657]) ).

fof(f2529,plain,
    ( ~ c0_1(a228)
    | ~ spl0_45
    | spl0_119
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2519,f806]) ).

fof(f2535,plain,
    ( $false
    | ~ spl0_45
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2528,f662]) ).

fof(f2536,plain,
    ( ~ spl0_45
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2535]) ).

fof(f2537,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2529,f2085]) ).

fof(f2538,plain,
    ( ~ spl0_45
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2537]) ).

fof(f2541,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f476,f1119]) ).

fof(f2571,plain,
    ( ~ spl0_118
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_49
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2123,f783,f424,f360,f333,f298,f788]) ).

fof(f2581,plain,
    ( ~ spl0_152
    | ~ spl0_46
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2488,f884,f879,f409,f1195]) ).

fof(f2687,plain,
    ( ~ c1_1(a223)
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_69 ),
    inference(resolution,[],[f529,f1119]) ).

fof(f2688,plain,
    ( ~ spl0_70
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2687,f527,f424,f298,f532]) ).

fof(f2733,plain,
    ( ~ c0_1(a230)
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_114 ),
    inference(resolution,[],[f1926,f769]) ).

fof(f2744,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_114
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f2733,f1298]) ).

fof(f2745,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_114
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f2744]) ).

fof(f2753,plain,
    ( ~ c2_1(a215)
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_59
    | spl0_141 ),
    inference(resolution,[],[f2541,f913]) ).

fof(f2765,plain,
    ( ~ spl0_142
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_59
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2753,f911,f475,f424,f298,f916]) ).

fof(f2766,plain,
    ( ~ spl0_100
    | ~ spl0_20
    | ~ spl0_49
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2108,f687,f424,f298,f692]) ).

fof(f2785,plain,
    ( ~ c3_1(a252)
    | c2_1(a252)
    | ~ spl0_28
    | ~ spl0_91 ),
    inference(resolution,[],[f334,f646]) ).

fof(f2786,plain,
    ( ~ c3_1(a213)
    | c2_1(a213)
    | ~ spl0_28
    | ~ spl0_148 ),
    inference(resolution,[],[f334,f950]) ).

fof(f2787,plain,
    ( c2_1(a213)
    | ~ spl0_28
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2786,f945]) ).

fof(f2788,plain,
    ( $false
    | ~ spl0_28
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2787,f940]) ).

fof(f2789,plain,
    ( ~ spl0_28
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2788]) ).

fof(f2790,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f394,f957]) ).

fof(f2798,plain,
    ( c2_1(a247)
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f2790,f662]) ).

fof(f2803,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_42
    | spl0_92
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2798,f652]) ).

fof(f2804,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_42
    | spl0_92
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2816,plain,
    ( c2_1(a252)
    | ~ c0_1(a252)
    | ~ spl0_30
    | ~ spl0_91 ),
    inference(resolution,[],[f343,f646]) ).

fof(f2817,plain,
    ( c2_1(a213)
    | ~ c0_1(a213)
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(resolution,[],[f343,f950]) ).

fof(f2819,plain,
    ( ~ c0_1(a252)
    | ~ spl0_30
    | spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f2816,f641]) ).

fof(f2840,plain,
    ( ~ c0_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_41
    | ~ spl0_65 ),
    inference(resolution,[],[f391,f508]) ).

fof(f2841,plain,
    ( ~ c2_1(a232)
    | ~ spl0_41
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2840,f518]) ).

fof(f2850,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_30
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f394,f343]) ).

fof(f2857,plain,
    ( c2_1(a247)
    | ~ spl0_30
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f2850,f662]) ).

fof(f2873,plain,
    ( spl0_153
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2012,f916,f906,f381,f1205]) ).

fof(f2877,plain,
    ( spl0_92
    | ~ spl0_30
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2857,f660,f393,f342,f650]) ).

fof(f2887,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(resolution,[],[f382,f705]) ).

fof(f2891,plain,
    ( c1_1(a282)
    | c3_1(a282)
    | ~ spl0_33
    | ~ spl0_39
    | spl0_74
    | ~ spl0_76 ),
    inference(resolution,[],[f382,f971]) ).

fof(f2909,plain,
    ( c1_1(a282)
    | ~ spl0_33
    | ~ spl0_39
    | spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f2891,f556]) ).

fof(f2914,plain,
    ( spl0_75
    | ~ spl0_33
    | ~ spl0_39
    | spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2909,f564,f554,f381,f356,f559]) ).

fof(f2919,plain,
    ( c2_1(a221)
    | ~ c0_1(a221)
    | ~ spl0_30
    | ~ spl0_129 ),
    inference(resolution,[],[f849,f343]) ).

fof(f2921,plain,
    ( c2_1(a221)
    | c3_1(a221)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f854,f357]) ).

fof(f2953,plain,
    ( spl0_163
    | spl0_128
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2921,f852,f356,f842,f1503]) ).

fof(f2954,plain,
    ( c2_1(a221)
    | ~ spl0_30
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2919,f854]) ).

fof(f2957,plain,
    ( spl0_128
    | ~ spl0_30
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2954,f852,f847,f342,f842]) ).

fof(f2958,plain,
    ( spl0_77
    | ~ spl0_33
    | ~ spl0_56
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2462,f575,f456,f356,f570]) ).

fof(f2967,plain,
    ( c3_1(a236)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f2448,f737]) ).

fof(f2975,plain,
    ( ~ spl0_147
    | ~ spl0_19
    | ~ spl0_47
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1687,f948,f414,f295,f943]) ).

fof(f2982,plain,
    ( ~ spl0_93
    | ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1836,f660,f414,f368,f295,f655]) ).

fof(f2997,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_33
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1548,f620]) ).

fof(f2998,plain,
    ( ~ spl0_22
    | ~ spl0_33
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f2997]) ).

fof(f3001,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_47
    | ~ spl0_52
    | spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1158,f2819]) ).

fof(f3002,plain,
    ( ~ spl0_30
    | ~ spl0_47
    | ~ spl0_52
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3001]) ).

fof(f3014,plain,
    ( ~ spl0_166
    | spl0_146
    | ~ spl0_30
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2817,f948,f342,f938,f1708]) ).

fof(f3016,plain,
    ( spl0_107
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2967,f735,f456,f356,f730]) ).

fof(f3033,plain,
    ( c2_1(a252)
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f2785,f2448]) ).

fof(f3041,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3033,f641]) ).

fof(f3042,plain,
    ( ~ spl0_28
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3041]) ).

fof(f3076,plain,
    ( ~ c3_1(a229)
    | c1_1(a229)
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(resolution,[],[f361,f790]) ).

fof(f3077,plain,
    ( ~ c3_1(a230)
    | c1_1(a230)
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(resolution,[],[f361,f774]) ).

fof(f3084,plain,
    ( ~ c3_1(a232)
    | c1_1(a232)
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(resolution,[],[f361,f513]) ).

fof(f3091,plain,
    ( c1_1(a230)
    | ~ spl0_34
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f3077,f769]) ).

fof(f3124,plain,
    ( ~ c1_1(a232)
    | ~ spl0_19
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f968,f508]) ).

fof(f3130,plain,
    ( spl0_113
    | ~ spl0_34
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3091,f772,f767,f360,f762]) ).

fof(f3137,plain,
    ( ~ spl0_150
    | ~ spl0_19
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3124,f516,f506,f295,f1047]) ).

fof(f3352,plain,
    ( ~ c3_1(a218)
    | c0_1(a218)
    | ~ spl0_58
    | spl0_134 ),
    inference(resolution,[],[f469,f876]) ).

fof(f3353,plain,
    ( ~ c3_1(a228)
    | c0_1(a228)
    | ~ spl0_58
    | spl0_120 ),
    inference(resolution,[],[f469,f801]) ).

fof(f3356,plain,
    ( ~ c3_1(a243)
    | c0_1(a243)
    | ~ spl0_58
    | spl0_96 ),
    inference(resolution,[],[f469,f673]) ).

fof(f3363,plain,
    ( ~ c3_1(a243)
    | ~ spl0_58
    | spl0_96
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3356,f678]) ).

fof(f3366,plain,
    ( c0_1(a218)
    | ~ spl0_58
    | spl0_134
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3352,f886]) ).

fof(f3386,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67) )
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f394,f1288]) ).

fof(f3396,plain,
    ( ~ c0_1(a224)
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_42
    | spl0_125 ),
    inference(resolution,[],[f3386,f828]) ).

fof(f3403,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_39
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3396,f838]) ).

fof(f3404,plain,
    ( ~ spl0_34
    | ~ spl0_39
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3403]) ).

fof(f3408,plain,
    ( ~ c0_1(a224)
    | c2_1(a224)
    | ~ spl0_42
    | spl0_125 ),
    inference(resolution,[],[f394,f828]) ).

fof(f3417,plain,
    ( c2_1(a224)
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3408,f838]) ).

fof(f3438,plain,
    ( ~ spl0_66
    | ~ spl0_41
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2841,f516,f506,f390,f511]) ).

fof(f3479,definition,
    ( spl0_171
  <=> c0_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f3554,plain,
    ( spl0_152
    | spl0_135
    | ~ spl0_53
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1200,f884,f442,f879,f1195]) ).

fof(f3568,plain,
    ( spl0_146
    | spl0_166
    | ~ spl0_53
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1122,f943,f442,f1708,f938]) ).

fof(f3634,plain,
    ( ~ c2_1(a238)
    | c3_1(a238)
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(resolution,[],[f307,f710]) ).

fof(f3642,plain,
    ( c3_1(a238)
    | ~ spl0_22
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f3634,f705]) ).

fof(f3650,plain,
    ( $false
    | ~ spl0_22
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f3642,f700]) ).

fof(f3651,plain,
    ( ~ spl0_22
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f3650]) ).

fof(f3662,plain,
    ( spl0_159
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f3417,f836,f826,f393,f1331]) ).

fof(f3664,plain,
    ( spl0_150
    | ~ spl0_65
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f3084,f511,f360,f506,f1047]) ).

fof(f3672,plain,
    ( ~ c0_1(a228)
    | c2_1(a228)
    | ~ spl0_42
    | spl0_120 ),
    inference(resolution,[],[f394,f801]) ).

fof(f3683,plain,
    ( ~ c3_1(a224)
    | c1_1(a224)
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(resolution,[],[f1333,f361]) ).

fof(f3706,plain,
    ( ~ c0_1(a282)
    | c3_1(a282)
    | ~ spl0_50
    | spl0_75 ),
    inference(resolution,[],[f429,f561]) ).

fof(f3708,plain,
    ( c3_1(a282)
    | ~ spl0_50
    | spl0_75
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f3706,f566]) ).

fof(f3712,plain,
    ( $false
    | ~ spl0_50
    | spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f3708,f556]) ).

fof(f3713,plain,
    ( ~ spl0_50
    | spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f3712]) ).

fof(f3719,plain,
    ( ~ c2_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_49
    | spl0_143 ),
    inference(resolution,[],[f425,f924]) ).

fof(f3727,plain,
    ( ~ c2_1(a288)
    | ~ c1_1(a288)
    | ~ spl0_49
    | spl0_72 ),
    inference(resolution,[],[f425,f545]) ).

fof(f3770,plain,
    ( c0_1(a216)
    | c2_1(a216)
    | ~ spl0_53
    | ~ spl0_139 ),
    inference(resolution,[],[f443,f902]) ).

fof(f3774,plain,
    ( c0_1(a260)
    | c2_1(a260)
    | ~ spl0_53
    | ~ spl0_168 ),
    inference(resolution,[],[f443,f2371]) ).

fof(f3778,plain,
    ( c2_1(a260)
    | ~ spl0_53
    | spl0_84
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3774,f609]) ).

fof(f3781,plain,
    ( c2_1(a216)
    | ~ spl0_53
    | spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3770,f897]) ).

fof(f3791,plain,
    ( ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34) )
    | ~ spl0_49
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f448,f425]) ).

fof(f3793,plain,
    ( ~ c1_1(a216)
    | ~ spl0_49
    | ~ spl0_54
    | spl0_138 ),
    inference(resolution,[],[f3791,f897]) ).

fof(f3801,plain,
    ( ~ c1_1(a288)
    | ~ spl0_49
    | ~ spl0_54
    | spl0_72 ),
    inference(resolution,[],[f3791,f545]) ).

fof(f3823,plain,
    ( ~ c1_1(a260)
    | c0_1(a260)
    | ~ spl0_52
    | spl0_168 ),
    inference(resolution,[],[f2370,f438]) ).

fof(f3824,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | c3_1(X32) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f457,f433]) ).

fof(f3826,plain,
    ( ~ c3_1(a216)
    | c0_1(a216)
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_58
    | spl0_138 ),
    inference(resolution,[],[f3793,f469]) ).

fof(f3827,plain,
    ( c0_1(a216)
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3826,f902]) ).

fof(f3828,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3827,f897]) ).

fof(f3829,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3828]) ).

fof(f3830,plain,
    ( spl0_158
    | ~ spl0_117
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3076,f788,f360,f783,f1312]) ).

fof(f3832,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_49
    | spl0_143 ),
    inference(avatar_split_clause,[],[f3719,f922,f424,f927,f932]) ).

fof(f3835,plain,
    ( spl0_119
    | ~ spl0_171
    | ~ spl0_42
    | spl0_120 ),
    inference(avatar_split_clause,[],[f3672,f799,f393,f3479,f794]) ).

fof(f3844,plain,
    ( spl0_125
    | ~ spl0_126
    | ~ spl0_34
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f3683,f1331,f360,f831,f826]) ).

fof(f3866,plain,
    ( c3_1(a235)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_112 ),
    inference(resolution,[],[f3824,f758]) ).

fof(f3868,plain,
    ( c3_1(a243)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_97 ),
    inference(resolution,[],[f3824,f678]) ).

fof(f3878,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_58
    | spl0_96
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3868,f3363]) ).

fof(f3879,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | ~ spl0_58
    | spl0_96
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f3878]) ).

fof(f3882,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | spl0_110
    | spl0_112 ),
    inference(forward_subsumption_resolution,[],[f3866,f748]) ).

fof(f3883,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_110
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f3882]) ).

fof(f3895,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_36
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f369,f469]) ).

fof(f3916,plain,
    ( c1_1(a224)
    | ~ spl0_36
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f3895,f833]) ).

fof(f3924,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_58
    | spl0_125
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f3916,f828]) ).

fof(f3925,plain,
    ( ~ spl0_36
    | ~ spl0_58
    | spl0_125
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f3924]) ).

fof(f3926,plain,
    ( ~ c1_1(a252)
    | c0_1(a252)
    | ~ spl0_52
    | spl0_89 ),
    inference(resolution,[],[f636,f438]) ).

fof(f3927,plain,
    ( c0_1(a252)
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3926,f646]) ).

fof(f3969,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7) )
    | ~ spl0_52
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f481,f438]) ).

fof(f3978,plain,
    ( c3_1(a235)
    | ~ spl0_52
    | ~ spl0_60
    | spl0_112 ),
    inference(resolution,[],[f3969,f758]) ).

fof(f3983,plain,
    ( c3_1(a288)
    | ~ spl0_52
    | ~ spl0_60
    | spl0_72 ),
    inference(resolution,[],[f3969,f545]) ).

fof(f3985,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_60
    | spl0_71
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f3983,f540]) ).

fof(f3986,plain,
    ( ~ spl0_52
    | ~ spl0_60
    | spl0_71
    | spl0_72 ),
    inference(avatar_contradiction_clause,[],[f3985]) ).

fof(f3995,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_60
    | spl0_110
    | spl0_112 ),
    inference(forward_subsumption_resolution,[],[f3978,f748]) ).

fof(f3996,plain,
    ( ~ spl0_52
    | ~ spl0_60
    | spl0_110
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f3995]) ).

fof(f4003,plain,
    ( c2_1(a252)
    | c3_1(a252)
    | ~ spl0_33
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(resolution,[],[f3927,f357]) ).

fof(f4004,plain,
    ( c3_1(a252)
    | ~ spl0_33
    | ~ spl0_52
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f4003,f641]) ).

fof(f4005,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_52
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f4004,f636]) ).

fof(f4006,plain,
    ( ~ spl0_33
    | ~ spl0_52
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f4005]) ).

fof(f4019,plain,
    ( spl0_137
    | ~ spl0_53
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3781,f900,f895,f442,f890]) ).

fof(f4028,plain,
    ( ~ c1_1(a260)
    | ~ spl0_52
    | spl0_84
    | spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3823,f609]) ).

fof(f4031,plain,
    ( ~ spl0_85
    | ~ spl0_52
    | spl0_84
    | spl0_168 ),
    inference(avatar_split_clause,[],[f4028,f2369,f607,f437,f612]) ).

fof(f4049,plain,
    ( ~ c2_1(a215)
    | c0_1(a215)
    | ~ spl0_59
    | spl0_140 ),
    inference(resolution,[],[f908,f476]) ).

fof(f4052,plain,
    ( ~ c3_1(a215)
    | c0_1(a215)
    | ~ spl0_58
    | spl0_140 ),
    inference(resolution,[],[f908,f469]) ).

fof(f4054,plain,
    ( c0_1(a215)
    | ~ spl0_59
    | spl0_140
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f4049,f918]) ).

fof(f4056,plain,
    ( spl0_141
    | ~ spl0_59
    | spl0_140
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f4054,f916,f906,f475,f911]) ).

fof(f4066,plain,
    ( spl0_83
    | ~ spl0_53
    | spl0_84
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f3778,f2369,f607,f442,f602]) ).

fof(f4133,plain,
    ( spl0_101
    | spl0_155
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2887,f703,f381,f1245,f698]) ).

fof(f4189,plain,
    ( ~ c3_1(a213)
    | ~ c1_1(a213)
    | ~ spl0_19
    | ~ spl0_166 ),
    inference(resolution,[],[f296,f1710]) ).

fof(f4191,plain,
    ( ~ c3_1(a221)
    | ~ c1_1(a221)
    | ~ spl0_19
    | ~ spl0_130 ),
    inference(resolution,[],[f296,f854]) ).

fof(f4206,plain,
    ( ~ c1_1(a213)
    | ~ spl0_19
    | ~ spl0_147
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f4189,f945]) ).

fof(f4213,plain,
    ( ~ spl0_63
    | ~ spl0_19
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f995,f500,f314,f295,f495]) ).

fof(f4217,plain,
    ( spl0_101
    | ~ spl0_155
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1240,f708,f314,f1245,f698]) ).

fof(f4255,plain,
    ( ~ spl0_73
    | ~ spl0_49
    | ~ spl0_54
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3801,f543,f447,f424,f548]) ).

fof(f4264,plain,
    ( ~ spl0_148
    | ~ spl0_19
    | ~ spl0_147
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f4206,f1708,f943,f295,f948]) ).

fof(f4287,plain,
    ( spl0_171
    | ~ spl0_121
    | ~ spl0_58
    | spl0_120 ),
    inference(avatar_split_clause,[],[f3353,f799,f468,f804,f3479]) ).

fof(f4289,plain,
    ( spl0_135
    | ~ spl0_58
    | spl0_134
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f3366,f884,f874,f468,f879]) ).

fof(f4291,plain,
    ( c0_1(a215)
    | ~ spl0_58
    | spl0_140
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f4052,f1206]) ).

fof(f4299,plain,
    ( ~ spl0_129
    | ~ spl0_163
    | ~ spl0_19
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f4191,f852,f295,f1503,f847]) ).

fof(f4303,plain,
    ( ~ spl0_73
    | ~ spl0_160
    | ~ spl0_49
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3727,f543,f424,f1448,f548]) ).

fof(f4312,plain,
    ( spl0_141
    | ~ spl0_58
    | spl0_140
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f4291,f1205,f906,f468,f911]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s6,plain,
    ( spl0_7
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s8,plain,
    ( spl0_15
    | ~ spl0_17
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s9,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s10,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s11,plain,
    ( ~ spl0_17
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s12,plain,
    ( spl0_4
    | spl0_10
    | ~ spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s13,plain,
    ( spl0_4
    | ~ spl0_17
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s15,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_17
    | spl0_28 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s16,plain,
    ( spl0_15
    | ~ spl0_17
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s17,plain,
    ( spl0_14
    | ~ spl0_17
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s19,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s20,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s21,plain,
    ( ~ spl0_17
    | spl0_34
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s22,plain,
    ( spl0_14
    | ~ spl0_17
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s23,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s24,plain,
    ( spl0_14
    | ~ spl0_17
    | spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s25,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_37
    | spl0_39 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s26,plain,
    ( ~ spl0_17
    | spl0_28
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s27,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s28,plain,
    ( ~ spl0_17
    | spl0_41
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s29,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_41
    | spl0_44 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s30,plain,
    ( ~ spl0_17
    | spl0_31
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s31,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_42
    | spl0_46 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s32,plain,
    ( spl0_5
    | spl0_9
    | ~ spl0_17
    | spl0_47 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s34,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_34
    | spl0_47 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s36,plain,
    ( ~ spl0_17
    | spl0_39
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s37,plain,
    ( spl0_8
    | ~ spl0_17
    | spl0_24
    | spl0_51 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s39,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_24
    | spl0_52 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s40,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s41,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_34
    | spl0_53 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s42,plain,
    ( ~ spl0_17
    | spl0_28
    | spl0_42
    | spl0_53 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s44,plain,
    ( spl0_8
    | ~ spl0_17
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s45,plain,
    ( spl0_10
    | ~ spl0_17
    | spl0_26
    | spl0_56 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s46,plain,
    ( spl0_12
    | ~ spl0_17
    | spl0_19
    | spl0_56 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s48,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_33
    | spl0_56 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s49,plain,
    ( ~ spl0_17
    | spl0_31
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s51,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_58 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s53,plain,
    ( ~ spl0_17
    | spl0_28
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s54,plain,
    ( spl0_4
    | ~ spl0_17
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s55,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s57,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_17
    | spl0_60 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s59,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s61,plain,
    ( ~ spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s62,plain,
    ( ~ spl0_37
    | spl0_63 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s63,plain,
    ( ~ spl0_37
    | spl0_64 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s65,plain,
    ( ~ spl0_21
    | spl0_65 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s66,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s67,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s70,plain,
    ( ~ spl0_32
    | spl0_69 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s71,plain,
    ( ~ spl0_32
    | spl0_70 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s73,plain,
    ( ~ spl0_6
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s74,plain,
    ( ~ spl0_6
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s75,plain,
    ( ~ spl0_6
    | spl0_73 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s77,plain,
    ( ~ spl0_11
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s78,plain,
    ( ~ spl0_11
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s79,plain,
    ( ~ spl0_11
    | spl0_76 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s81,plain,
    ( ~ spl0_7
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s82,plain,
    ( ~ spl0_7
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | spl0_85 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s93,plain,
    ( ~ spl0_15
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s94,plain,
    ( ~ spl0_15
    | spl0_87 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s95,plain,
    ( ~ spl0_15
    | spl0_88 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s97,plain,
    ( ~ spl0_35
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s98,plain,
    ( ~ spl0_35
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s99,plain,
    ( ~ spl0_35
    | spl0_91 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s101,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s102,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s103,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s106,plain,
    ( ~ spl0_43
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s107,plain,
    ( ~ spl0_43
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s110,plain,
    ( ~ spl0_9
    | spl0_99 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s111,plain,
    ( ~ spl0_9
    | spl0_100 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s113,plain,
    ( ~ spl0_13
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s114,plain,
    ( ~ spl0_13
    | spl0_102 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s115,plain,
    ( ~ spl0_13
    | spl0_103 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s125,plain,
    ( ~ spl0_25
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s127,plain,
    ( ~ spl0_25
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s129,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s130,plain,
    ( ~ spl0_2
    | spl0_114 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s131,plain,
    ( ~ spl0_2
    | spl0_115 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s132,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_117 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_118 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s137,plain,
    ( ~ spl0_8
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s138,plain,
    ( ~ spl0_8
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s139,plain,
    ( ~ spl0_8
    | spl0_121 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s141,plain,
    ( ~ spl0_10
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s142,plain,
    ( ~ spl0_10
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s143,plain,
    ( ~ spl0_10
    | spl0_124 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s145,plain,
    ( ~ spl0_12
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s146,plain,
    ( ~ spl0_12
    | spl0_126 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s147,plain,
    ( ~ spl0_12
    | spl0_127 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s149,plain,
    ( ~ spl0_31
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s150,plain,
    ( ~ spl0_31
    | spl0_129 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s151,plain,
    ( ~ spl0_31
    | spl0_130 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s157,plain,
    ( ~ spl0_23
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s158,plain,
    ( ~ spl0_23
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s159,plain,
    ( ~ spl0_23
    | spl0_136 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s161,plain,
    ( ~ spl0_4
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s162,plain,
    ( ~ spl0_4
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s163,plain,
    ( ~ spl0_4
    | spl0_139 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s165,plain,
    ( ~ spl0_5
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s166,plain,
    ( ~ spl0_5
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s167,plain,
    ( ~ spl0_5
    | spl0_142 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s169,plain,
    ( ~ spl0_55
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s170,plain,
    ( ~ spl0_55
    | spl0_144 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s171,plain,
    ( ~ spl0_55
    | spl0_145 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | spl0_147 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s177,plain,
    ( ~ spl0_22
    | ~ spl0_33
    | spl0_74
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s181,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s208,plain,
    ( ~ spl0_40
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1148]) ).

cnf(s227,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1233]) ).

cnf(s250,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s256,plain,
    ( ~ spl0_34
    | ~ spl0_40
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s269,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_115
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s279,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1391]) ).

cnf(s294,plain,
    ( ~ spl0_20
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s302,plain,
    ( ~ spl0_18
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s309,plain,
    ( ~ spl0_24
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s330,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_103
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1493]) ).

cnf(s336,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1507]) ).

cnf(s343,plain,
    ( ~ spl0_18
    | ~ spl0_28
    | ~ spl0_117
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s344,plain,
    ( ~ spl0_20
    | ~ spl0_33
    | ~ spl0_38
    | spl0_86
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s421,plain,
    ( ~ spl0_20
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s445,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s462,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_49
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s466,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s491,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_50
    | spl0_101
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s537,plain,
    ( ~ spl0_33
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s543,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s568,plain,
    ( ~ spl0_47
    | ~ spl0_58
    | ~ spl0_114
    | spl0_156 ),
    inference(sat_conversion,[],[f2092]) ).

cnf(s587,plain,
    ( ~ spl0_44
    | spl0_107
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s650,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | ~ spl0_73
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2363]) ).

cnf(s676,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2410]) ).

cnf(s686,plain,
    ( ~ spl0_47
    | ~ spl0_56
    | ~ spl0_58
    | spl0_72
    | spl0_160 ),
    inference(sat_conversion,[],[f2445]) ).

cnf(s696,plain,
    ( ~ spl0_46
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2490]) ).

cnf(s705,plain,
    ( ~ spl0_45
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2536]) ).

cnf(s706,plain,
    ( ~ spl0_45
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2538]) ).

cnf(s720,plain,
    ( ~ spl0_20
    | ~ spl0_28
    | ~ spl0_34
    | ~ spl0_49
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s725,plain,
    ( ~ spl0_46
    | spl0_135
    | ~ spl0_136
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s749,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2688]) ).

cnf(s775,plain,
    ( ~ spl0_20
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_114
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s778,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | ~ spl0_59
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2765]) ).

cnf(s779,plain,
    ( ~ spl0_20
    | ~ spl0_49
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f2766]) ).

cnf(s783,plain,
    ( ~ spl0_28
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s785,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_42
    | spl0_92
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2804]) ).

cnf(s791,plain,
    ( ~ spl0_39
    | spl0_140
    | ~ spl0_142
    | spl0_153 ),
    inference(sat_conversion,[],[f2873]) ).

cnf(s795,plain,
    ( ~ spl0_30
    | ~ spl0_42
    | spl0_92
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2877]) ).

cnf(s813,plain,
    ( ~ spl0_33
    | ~ spl0_39
    | spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f2914]) ).

cnf(s839,plain,
    ( ~ spl0_33
    | spl0_128
    | ~ spl0_130
    | spl0_163 ),
    inference(sat_conversion,[],[f2953]) ).

cnf(s843,plain,
    ( ~ spl0_30
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2957]) ).

cnf(s844,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f2958]) ).

cnf(s846,plain,
    ( ~ spl0_19
    | ~ spl0_47
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2975]) ).

cnf(s851,plain,
    ( ~ spl0_19
    | ~ spl0_36
    | ~ spl0_47
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2982]) ).

cnf(s865,plain,
    ( ~ spl0_22
    | ~ spl0_33
    | spl0_86
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f2998]) ).

cnf(s867,plain,
    ( ~ spl0_30
    | ~ spl0_47
    | ~ spl0_52
    | spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f3002]) ).

cnf(s869,plain,
    ( ~ spl0_30
    | spl0_146
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3014]) ).

cnf(s871,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f3016]) ).

cnf(s891,plain,
    ( ~ spl0_28
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f3042]) ).

cnf(s912,plain,
    ( ~ spl0_34
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3130]) ).

cnf(s917,plain,
    ( ~ spl0_19
    | ~ spl0_65
    | ~ spl0_67
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f3137]) ).

cnf(s993,plain,
    ( ~ spl0_34
    | ~ spl0_39
    | ~ spl0_42
    | spl0_125
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3404]) ).

cnf(s1004,plain,
    ( ~ spl0_41
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f3438]) ).

cnf(s1074,plain,
    ( ~ spl0_53
    | spl0_135
    | ~ spl0_136
    | spl0_152 ),
    inference(sat_conversion,[],[f3554]) ).

cnf(s1078,plain,
    ( ~ spl0_53
    | spl0_146
    | ~ spl0_147
    | spl0_166 ),
    inference(sat_conversion,[],[f3568]) ).

cnf(s1098,plain,
    ( ~ spl0_22
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3651]) ).

cnf(s1103,plain,
    ( ~ spl0_42
    | spl0_125
    | ~ spl0_127
    | spl0_159 ),
    inference(sat_conversion,[],[f3662]) ).

cnf(s1106,plain,
    ( ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66
    | spl0_150 ),
    inference(sat_conversion,[],[f3664]) ).

cnf(s1121,plain,
    ( ~ spl0_50
    | spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3713]) ).

cnf(s1139,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | ~ spl0_58
    | spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f3829]) ).

cnf(s1141,plain,
    ( ~ spl0_34
    | ~ spl0_117
    | ~ spl0_118
    | spl0_158 ),
    inference(sat_conversion,[],[f3830]) ).

cnf(s1142,plain,
    ( ~ spl0_49
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f3832]) ).

cnf(s1144,plain,
    ( ~ spl0_42
    | spl0_119
    | spl0_120
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3835]) ).

cnf(s1153,plain,
    ( ~ spl0_34
    | spl0_125
    | ~ spl0_126
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3844]) ).

cnf(s1169,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | ~ spl0_58
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f3879]) ).

cnf(s1171,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_110
    | spl0_112 ),
    inference(sat_conversion,[],[f3883]) ).

cnf(s1191,plain,
    ( ~ spl0_36
    | ~ spl0_58
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3925]) ).

cnf(s1195,plain,
    ( ~ spl0_52
    | ~ spl0_60
    | spl0_71
    | spl0_72 ),
    inference(sat_conversion,[],[f3986]) ).

cnf(s1200,plain,
    ( ~ spl0_52
    | ~ spl0_60
    | spl0_110
    | spl0_112 ),
    inference(sat_conversion,[],[f3996]) ).

cnf(s1204,plain,
    ( ~ spl0_33
    | ~ spl0_52
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f4006]) ).

cnf(s1218,plain,
    ( ~ spl0_53
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f4019]) ).

cnf(s1239,plain,
    ( ~ spl0_52
    | spl0_84
    | ~ spl0_85
    | spl0_168 ),
    inference(sat_conversion,[],[f4031]) ).

cnf(s1255,plain,
    ( ~ spl0_59
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f4056]) ).

cnf(s1270,plain,
    ( ~ spl0_53
    | spl0_83
    | spl0_84
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f4066]) ).

cnf(s1309,plain,
    ( ~ spl0_39
    | spl0_101
    | ~ spl0_102
    | spl0_155 ),
    inference(sat_conversion,[],[f4133]) ).

cnf(s1341,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f4213]) ).

cnf(s1343,plain,
    ( ~ spl0_24
    | spl0_101
    | ~ spl0_103
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f4217]) ).

cnf(s1382,plain,
    ( ~ spl0_49
    | ~ spl0_54
    | spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f4255]) ).

cnf(s1386,plain,
    ( ~ spl0_19
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f4264]) ).

cnf(s1436,plain,
    ( ~ spl0_58
    | spl0_120
    | ~ spl0_121
    | spl0_171 ),
    inference(sat_conversion,[],[f4287]) ).

cnf(s1438,plain,
    ( ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f4289]) ).

cnf(s1454,plain,
    ( ~ spl0_19
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f4299]) ).

cnf(s1458,plain,
    ( ~ spl0_49
    | spl0_72
    | ~ spl0_73
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f4303]) ).

cnf(s1466,plain,
    ( ~ spl0_58
    | spl0_140
    | spl0_141
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f4312]) ).

cnf(s1472,plain,
    ( ~ spl0_15
    | ~ spl0_24 ),
    inference(rat,[],[s309,s93,s94,s95]) ).

cnf(s1473,plain,
    ( ~ spl0_13
    | spl0_92
    | ~ spl0_94
    | ~ spl0_24
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s294,s61,s62,s63,s8,s25,s785,s795,s27,s1004,s65,s66,s67,s9,s1098,s1309,s1343,s113,s114,s115,s1472]) ).

cnf(s1474,plain,
    ( ~ spl0_24
    | ~ spl0_9
    | spl0_7
    | spl0_52
    | ~ spl0_3 ),
    inference(rat,[],[s1438,s157,s158,s159,s40,s779,s8,s51,s336,s150,s151,s30,s705,s101,s102,s103,s6,s1472,s136,s696,s133,s134,s135,s111,s110]) ).

cnf(s1476,plain,
    ( ~ spl0_24
    | spl0_7
    | spl0_52
    | spl0_5
    | ~ spl0_3 ),
    inference(rat,[],[s336,s150,s151,s30,s51,s705,s445,s101,s102,s103,s32,s6,s1474,s1472,s136,s696,s133,s134,s135]) ).

cnf(s1477,plain,
    ( ~ spl0_37
    | ~ spl0_20 ),
    inference(rat,[],[s294,s61,s62,s63]) ).

cnf(s1478,plain,
    ( ~ spl0_12
    | ~ spl0_42
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(rat,[],[s993,s145,s147]) ).

cnf(s1479,plain,
    ( ~ spl0_13
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(rat,[],[s227,s114,s115]) ).

cnf(s1480,plain,
    ( ~ spl0_38
    | spl0_33
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s42,s783,s1078,s1386,s250,s173,s174,s175,s145,s147,s19,s5,s1479]) ).

cnf(s1481,plain,
    ( spl0_24
    | spl0_52
    | spl0_4
    | spl0_46
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s843,s149,s150,s151,s25,s30,s1309,s421,s705,s113,s114,s115,s101,s102,s103,s23,s22,s1480,s1477,s537,s141,s142,s143,s12,s13,s39]) ).

cnf(s1482,plain,
    ( ~ spl0_38
    | ~ spl0_20
    | spl0_77
    | spl0_78
    | ~ spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s336,s150,s151,s49,s844,s1480,s51,s445,s34,s1141,s343,s31,s250,s145,s147,s5,s1479,s696,s133,s134,s135,s15,s1472,s136,s1]) ).

cnf(s1483,plain,
    ( ~ spl0_20
    | spl0_77
    | spl0_78
    | ~ spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1473,s101,s103,s23,s22,s1482,s1477,s136,s1]) ).

cnf(s1485,plain,
    ( ~ spl0_31
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(rat,[],[s336,s150,s151]) ).

cnf(s1486,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(rat,[],[s783,s173,s174,s175]) ).

cnf(s1487,plain,
    ( ~ spl0_37
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(rat,[],[s1341,s62,s63]) ).

cnf(s1488,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1473,s101,s103,s22,s1487,s181,s66,s67,s9,s1098,s113,s114,s115,s19,s1486,s844,s49,s1485,s8,s1483,s81,s82,s15,s1476,s1472,s1481,s1195,s73,s74,s57,s2,s136,s696,s133,s134,s135,s1]) ).

cnf(s1489,plain,
    ( ~ spl0_20
    | spl0_33
    | ~ spl0_19
    | spl0_46
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s676,s150,s151,s25,s30,s1309,s421,s705,s113,s114,s115,s101,s102,s103,s23,s22,s1480,s1477]) ).

cnf(s1490,plain,
    ( spl0_13
    | spl0_33
    | spl0_58
    | ~ spl0_19
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1478,s34,s42,s53,s1078,s846,s1386,s1486,s173,s174,s175,s19,s5,s136,s1]) ).

cnf(s1491,plain,
    ( ~ spl0_25
    | ~ spl0_60
    | ~ spl0_52 ),
    inference(rat,[],[s1200,s125,s127]) ).

cnf(s1492,plain,
    ( ~ spl0_26
    | ~ spl0_47
    | ~ spl0_19 ),
    inference(rat,[],[s846,s174,s175]) ).

cnf(s1493,plain,
    ( spl0_24
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s706,s137,s139,s37,s59,s1171,s1491,s125,s127,s48,s11,s1492,s41,s34,s1106,s917,s65,s66,s67,s9,s1098,s113,s114,s115,s1490,s537,s1438,s141,s142,s143,s157,s158,s159,s1481,s12,s13,s10,s136,s696,s133,s134,s135,s1]) ).

cnf(s1494,plain,
    ( ~ spl0_35
    | ~ spl0_33
    | ~ spl0_56
    | ~ spl0_28 ),
    inference(rat,[],[s891,s98,s99]) ).

cnf(s1497,plain,
    ( ~ spl0_7
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(rat,[],[s844,s81,s82]) ).

cnf(s1498,plain,
    ( ~ spl0_14
    | ~ spl0_45 ),
    inference(rat,[],[s705,s101,s102,s103]) ).

cnf(s1499,plain,
    ( ~ spl0_19
    | spl0_26
    | ~ spl0_24
    | ~ spl0_3 ),
    inference(rat,[],[s181,s66,s67,s9,s1098,s113,s114,s115,s19,s1497,s22,s6,s1498,s30,s49,s1487,s1485,s136,s696,s133,s134,s135,s1472]) ).

cnf(s1500,plain,
    ( ~ spl0_23
    | ~ spl0_58 ),
    inference(rat,[],[s1438,s157,s158,s159]) ).

cnf(s1501,plain,
    ( ~ spl0_13
    | ~ spl0_50
    | ~ spl0_30
    | ~ spl0_20 ),
    inference(rat,[],[s491,s113,s115]) ).

cnf(s1502,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s250,s145,s147,s23,s5,s1501,s31,s36,s302,s25,s720,s1141,s791,s34,s1477,s1466,s445,s8,s51,s1499,s1486,s15,s1472,s1493,s165,s166,s167,s1488,s136,s696,s133,s134,s135,s1]) ).

cnf(s1503,plain,
    ( ~ spl0_31
    | ~ spl0_33
    | ~ spl0_19 ),
    inference(rat,[],[s839,s1454,s149,s150,s151]) ).

cnf(s1504,plain,
    ( ~ spl0_20
    | ~ spl0_19
    | spl0_46
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s344,s93,s95,s22,s6,s1498,s1497,s30,s49,s1503,s1489,s1477]) ).

cnf(s1505,plain,
    ( spl0_33
    | spl0_58
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1106,s917,s65,s66,s67,s9,s1098,s113,s114,s115,s1490,s41,s1218,s161,s162,s163,s1502,s51,s136,s1]) ).

cnf(s1506,plain,
    ( spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s867,s98,s99,s21,s466,s34,s1106,s917,s65,s66,s67,s9,s865,s93,s95,s17,s6,s1498,s1497,s30,s49,s1503,s1505,s39,s1504,s51,s1500,s10,s136,s696,s133,s134,s135,s1]) ).

cnf(s1507,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s1473,s101,s103,s22,s1479,s1477]) ).

cnf(s1508,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s250,s145,s147,s23,s5,s1507,s31,s302,s1141,s34,s1477,s445,s8,s51,s1499,s1486,s15,s1472,s1506,s696,s133,s134,s135,s136,s1]) ).

cnf(s1509,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_46
    | ~ spl0_17 ),
    inference(rat,[],[s676,s150,s151,s30,s25,s1498,s1309,s22,s421,s1479,s113,s114,s115,s1477]) ).

cnf(s1510,plain,
    ( ~ spl0_20
    | spl0_46
    | spl0_26
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(rat,[],[s344,s93,s95,s6,s1498,s1497,s30,s49,s1503,s19,s23,s1509,s1477]) ).

cnf(s1511,plain,
    ( spl0_33
    | ~ spl0_45
    | spl0_26
    | spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s706,s137,s139,s37,s1171,s48,s41,s912,s129,s130,s131,s127,s125,s11,s132]) ).

cnf(s1512,plain,
    ( spl0_46
    | spl0_24
    | spl0_1 ),
    inference(rat,[],[s867,s98,s99,s21,s466,s65,s67,s9,s865,s93,s95,s6,s1497,s17,s49,s1503,s1511,s1498,s59,s1491,s39,s1510,s11,s1492,s51,s1500,s10,s34,s912,s129,s130,s131,s132,s1508]) ).

cnf(s1513,plain,
    ( ~ spl0_3
    | ~ spl0_46 ),
    inference(rat,[],[s696,s133,s134,s135]) ).

cnf(s1514,plain,
    ( ~ spl0_10
    | ~ spl0_33 ),
    inference(rat,[],[s537,s141,s142,s143]) ).

cnf(s1515,plain,
    ( spl0_24
    | spl0_1 ),
    inference(rat,[],[s466,s21,s65,s67,s1494,s9,s53,s177,s813,s77,s78,s79,s45,s4,s1514,s1513,s41,s1074,s725,s1512,s1492,s51,s1500,s158,s159,s10,s34,s912,s129,s130,s131,s132,s1508]) ).

cnf(s1516,plain,
    ( ~ spl0_4
    | ~ spl0_53 ),
    inference(rat,[],[s1218,s161,s162,s163]) ).

cnf(s1518,plain,
    ( ~ spl0_6
    | ~ spl0_58
    | ~ spl0_49
    | ~ spl0_20
    | ~ spl0_56
    | ~ spl0_47 ),
    inference(rat,[],[s686,s650,s74,s75]) ).

cnf(s1519,plain,
    ( ~ spl0_20
    | spl0_4
    | ~ spl0_91
    | ~ spl0_30
    | spl0_39
    | ~ spl0_56
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s543,s170,s171,s55,s778,s166,s167,s2,s1518,s1500,s54,s462,s36,s1501,s34,s912,s129,s130,s131,s132,s1508]) ).

cnf(s1520,plain,
    ( ~ spl0_23
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(rat,[],[s725,s1074,s158,s159]) ).

cnf(s1521,plain,
    ( ~ spl0_6
    | ~ spl0_54
    | ~ spl0_49 ),
    inference(rat,[],[s1382,s74,s75]) ).

cnf(s1522,plain,
    ( ~ spl0_55
    | ~ spl0_49 ),
    inference(rat,[],[s1142,s169,s170,s171]) ).

cnf(s1523,plain,
    ( ~ spl0_5
    | ~ spl0_59 ),
    inference(rat,[],[s1255,s165,s166,s167]) ).

cnf(s1524,plain,
    ( spl0_33
    | ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s686,s54,s1458,s1521,s74,s75,s2,s1523,s55,s1522,s40,s1520,s1516,s867,s30,s98,s99,s1498,s25,s21,s22,s1309,s466,s181,s330,s65,s66,s67,s113,s114,s115,s20,s48,s19,s41,s34,s912,s129,s130,s131,s1486,s15,s1472,s132,s1508,s1485,s1487,s1515]) ).

cnf(s1525,plain,
    ( ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s851,s102,s103,s21,s6,s1494,s1497,s45,s1514,s1524,s34,s912,s129,s130,s131,s1486,s15,s1472,s1515,s132,s1508]) ).

cnf(s1526,plain,
    ( spl0_33
    | spl0_1 ),
    inference(rat,[],[s1519,s1516,s48,s41,s1486,s15,s99,s21,s775,s25,s1309,s421,s115,s114,s113,s23,s269,s1477,s8,s1472,s1515,s568,s51,s1525,s34,s132,s912,s129,s130,s131,s1508]) ).

cnf(s1527,plain,
    spl0_1,
    inference(rat,[],[s45,s1494,s1514,s1526,s21,s775,s25,s1309,s421,s113,s114,s115,s23,s269,s1477,s568,s8,s51,s1525,s1486,s15,s1472,s1515,s34,s912,s129,s130,s131,s132,s1508]) ).

cnf(s1528,plain,
    spl0_17,
    inference(rat,[],[s124,s1527]) ).

cnf(s1529,plain,
    ~ spl0_109,
    inference(rat,[],[s123,s1527]) ).

cnf(s1530,plain,
    ~ spl0_108,
    inference(rat,[],[s122,s1527]) ).

cnf(s1531,plain,
    ~ spl0_107,
    inference(rat,[],[s121,s1527]) ).

cnf(s1532,plain,
    ~ spl0_44,
    inference(rat,[],[s587,s1529,s1530,s1531]) ).

cnf(s1533,plain,
    ( ~ spl0_21
    | ~ spl0_34
    | ~ spl0_19 ),
    inference(rat,[],[s1106,s917,s65,s66,s67]) ).

cnf(s1534,plain,
    ( ~ spl0_13
    | ~ spl0_22 ),
    inference(rat,[],[s1098,s113,s114,s115]) ).

cnf(s1535,plain,
    ( ~ spl0_34
    | spl0_2
    | ~ spl0_19
    | spl0_33 ),
    inference(rat,[],[s1103,s42,s1078,s1386,s1153,s1486,s173,s174,s175,s145,s146,s147,s19,s5,s1534,s9,s1533,s1528]) ).

cnf(s1536,plain,
    ( spl0_34
    | ~ spl0_19
    | spl0_33 ),
    inference(rat,[],[s1078,s1386,s173,s174,s175,s29,s1004,s65,s66,s67,s20,s41,s1528,s1532]) ).

cnf(s1537,plain,
    ( ~ spl0_34
    | ~ spl0_19
    | spl0_33 ),
    inference(rat,[],[s912,s129,s130,s131,s1535]) ).

cnf(s1538,plain,
    ( ~ spl0_19
    | spl0_33 ),
    inference(rat,[],[s1537,s1536]) ).

cnf(s1539,plain,
    ( ~ spl0_12
    | ~ spl0_42
    | ~ spl0_34 ),
    inference(rat,[],[s1103,s1153,s145,s146,s147]) ).

cnf(s1540,plain,
    ( ~ spl0_8
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(rat,[],[s1144,s1436,s137,s138,s139]) ).

cnf(s1541,plain,
    ( ~ spl0_42
    | spl0_2
    | ~ spl0_34
    | spl0_19 ),
    inference(rat,[],[s8,s1472,s1507,s37,s1540,s1169,s106,s107,s28,s1004,s65,s66,s67,s9,s1534,s46,s5,s1539,s51,s1528,s1532]) ).

cnf(s1542,plain,
    ( ~ spl0_26
    | spl0_2
    | ~ spl0_34
    | spl0_19 ),
    inference(rat,[],[s749,s70,s71,s26,s256,s40,s145,s146,s1239,s5,s1270,s1507,s89,s90,s91,s8,s16,s1472,s869,s13,s1078,s1516,s42,s1486,s173,s174,s175,s1500,s51,s1541,s1528]) ).

cnf(s1543,plain,
    ( spl0_2
    | ~ spl0_34
    | spl0_33 ),
    inference(rat,[],[s1004,s65,s66,s67,s9,s1534,s19,s1542,s27,s1541,s1538,s1528]) ).

cnf(s1544,plain,
    ( ~ spl0_34
    | spl0_33 ),
    inference(rat,[],[s912,s129,s130,s131,s1543]) ).

cnf(s1545,plain,
    spl0_33,
    inference(rat,[],[s1309,s421,s25,s113,s114,s115,s869,s23,s1078,s279,s1477,s173,s174,s175,s8,s29,s1472,s1004,s13,s65,s66,s67,s1516,s20,s41,s1544,s1538,s1528,s1532]) ).

cnf(s1546,plain,
    ~ spl0_10,
    inference(rat,[],[s1514,s1545]) ).

cnf(s1547,plain,
    ~ spl0_56,
    inference(rat,[],[s871,s1530,s1531,s1545]) ).

cnf(s1549,plain,
    spl0_26,
    inference(rat,[],[s45,s1546,s1528,s1547]) ).

cnf(s1550,plain,
    spl0_148,
    inference(rat,[],[s175,s1549]) ).

cnf(s1551,plain,
    spl0_147,
    inference(rat,[],[s174,s1549]) ).

cnf(s1552,plain,
    ~ spl0_146,
    inference(rat,[],[s173,s1549]) ).

cnf(s1553,plain,
    ~ spl0_28,
    inference(rat,[],[s1486,s1549]) ).

cnf(s1554,plain,
    ( ~ spl0_19
    | ~ spl0_34 ),
    inference(rat,[],[s177,s77,s79,s4,s1513,s9,s49,s1533,s1503,s1545,s1546,s1528,s1547]) ).

cnf(s1555,plain,
    ( spl0_19
    | ~ spl0_34 ),
    inference(rat,[],[s912,s129,s130,s131,s1542,s1549]) ).

cnf(s1556,plain,
    ~ spl0_34,
    inference(rat,[],[s1555,s1554]) ).

cnf(s1557,plain,
    ~ spl0_19,
    inference(rat,[],[s1139,s162,s163,s12,s785,s44,s101,s103,s1540,s1522,s24,s53,s36,s813,s1121,s77,s78,s79,s4,s42,s1513,s1078,s49,s1386,s1503,s1528,s1546,s1553,s1545,s1551,s1552,s1547,s1550]) ).

cnf(s1558,plain,
    spl0_58,
    inference(rat,[],[s51,s1528,s1557]) ).

cnf(s1559,plain,
    spl0_12,
    inference(rat,[],[s46,s1547,s1528,s1557]) ).

cnf(s1560,plain,
    ~ spl0_23,
    inference(rat,[],[s1500,s1558]) ).

cnf(s1562,plain,
    spl0_126,
    inference(rat,[],[s146,s1559]) ).

cnf(s1563,plain,
    ~ spl0_125,
    inference(rat,[],[s145,s1559]) ).

cnf(s1564,plain,
    ~ spl0_36,
    inference(rat,[],[s1191,s1562,s1558,s1563]) ).

cnf(s1565,plain,
    spl0_35,
    inference(rat,[],[s21,s1556,s1528,s1564]) ).

cnf(s1566,plain,
    spl0_91,
    inference(rat,[],[s99,s1565]) ).

cnf(s1567,plain,
    ~ spl0_90,
    inference(rat,[],[s98,s1565]) ).

cnf(s1568,plain,
    ~ spl0_89,
    inference(rat,[],[s97,s1565]) ).

cnf(s1569,plain,
    ~ spl0_52,
    inference(rat,[],[s1204,s1566,s1545,s1567,s1568]) ).

cnf(s1570,plain,
    spl0_49,
    inference(rat,[],[s40,s1560,s1528,s1569]) ).

cnf(s1571,plain,
    ~ spl0_55,
    inference(rat,[],[s1522,s1570]) ).

cnf(s1572,plain,
    spl0_59,
    inference(rat,[],[s55,s1528,s1560,s1571]) ).

cnf(s1573,plain,
    ~ spl0_5,
    inference(rat,[],[s1523,s1572]) ).

cnf(s1574,plain,
    ~ spl0_54,
    inference(rat,[],[s1139,s162,s163,s2,s1521,s1558,s1570,s1573]) ).

cnf(s1575,plain,
    spl0_8,
    inference(rat,[],[s44,s1571,s1528,s1574]) ).

cnf(s1576,plain,
    spl0_121,
    inference(rat,[],[s139,s1575]) ).

cnf(s1577,plain,
    ~ spl0_120,
    inference(rat,[],[s138,s1575]) ).

cnf(s1578,plain,
    ~ spl0_119,
    inference(rat,[],[s137,s1575]) ).

cnf(s1579,plain,
    ~ spl0_42,
    inference(rat,[],[s1540,s1558,s1575]) ).

cnf(s1581,plain,
    ~ spl0_40,
    inference(rat,[],[s208,s1576,s1577,s1578]) ).

cnf(s1583,plain,
    spl0_53,
    inference(rat,[],[s42,s1553,s1528,s1579]) ).

cnf(s1584,plain,
    spl0_32,
    inference(rat,[],[s26,s1553,s1528,s1581]) ).

cnf(s1585,plain,
    ~ spl0_4,
    inference(rat,[],[s1516,s1583]) ).

cnf(s1587,plain,
    spl0_70,
    inference(rat,[],[s71,s1584]) ).

cnf(s1588,plain,
    spl0_69,
    inference(rat,[],[s70,s1584]) ).

cnf(s1590,plain,
    spl0_24,
    inference(rat,[],[s13,s1557,s1528,s1585]) ).

cnf(s1594,plain,
    ~ spl0_20,
    inference(rat,[],[s749,s1570,s1587,s1588]) ).

cnf(s1596,plain,
    ~ spl0_15,
    inference(rat,[],[s1472,s1590]) ).

cnf(s1600,plain,
    $false,
    inference(rat,[],[s8,s1557,s1528,s1596,s1594]) ).

fof(f4316,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1600]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN444+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  % Computer : n019.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Mon Sep 28 16:03:18 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.01  % (4121771)Detected formulas, will run a generic FOF schedule.
% 0.67/1.01  % (4121911)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2664860247:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.67/1.01  % (4121911)First to succeed.
% 0.67/1.01  % (4121908)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1777363926:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.67/1.01  % (4121912)dis-21_1_sil=8000:lcm=predicate:random_seed=767466705:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.67/1.01  % (4121902)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3364781853:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.67/1.01  % (4121904)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=261699645:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.67/1.01  % (4121910)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3929753487:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.67/1.01  % (4121911)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4121771"
% 0.67/1.01  % (4121912)Also succeeded, but the first one will report.
% 0.67/1.01  % (4121910)Instruction limit reached! 
% 0.67/1.01  % (4121910)------------------------------
% 0.67/1.01  % (4121910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.67/1.01  % (4121910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/1.01  % (4121910)CaDiCaL version: 2.1.3
% 0.67/1.01  % (4121910)Termination reason: Instruction limit
% 0.67/1.01  % (4121910)Termination phase: Saturation
% 0.67/1.01  % (4121910)Time elapsed: 0.057 s
% 0.67/1.01  % (4121910)Peak memory usage: 87 MB
% 0.67/1.01  % (4121910)Instructions burned: 121 (million)
% 0.67/1.01  % (4121909)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=77714542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.67/1.01  % (4121911)Refutation found. Thanks to Tanya!
% 0.67/1.01  % SZS status Theorem for theBenchmark
% 0.67/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 2.94/1.21  % (4121911)------------------------------
% 2.94/1.21  % (4121911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.21  % (4121911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.21  % (4121911)CaDiCaL version: 2.1.3
% 2.94/1.21  % (4121911)Termination reason: Refutation
% 2.94/1.21  % (4121911)Time elapsed: 0.041 s
% 2.94/1.21  % (4121911)Peak memory usage: 91 MB
% 2.94/1.21  % (4121911)Instructions burned: 116 (million)
% 2.94/1.21  % (4121911)------------------------------
% 2.94/1.21  % (4121911)------------------------------
% 2.94/1.21  % (4121771)Success in time 0.324 s
% 2.94/1.21  % Vampire exiting
%------------------------------------------------------------------------------