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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN477+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:55:11 PM UTC 2026

% Result   : Theorem 1.17s 1.03s
% Output   : Refutation 3.08s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a1205)
          & ~ c0_1(a1205)
          & ~ c1_1(a1205) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a1206)
          & c2_1(a1206)
          & ~ c3_1(a1206) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a1207)
          & ~ c1_1(a1207)
          & ~ c2_1(a1207) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a1210)
          & c1_1(a1210)
          & ~ c3_1(a1210) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1211)
          & ~ c0_1(a1211)
          & ~ c2_1(a1211) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a1212)
          & ~ c0_1(a1212)
          & ~ c3_1(a1212) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a1215)
          & c2_1(a1215)
          & ~ c3_1(a1215) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c1_1(a1216)
          & ~ c2_1(a1216)
          & ~ c3_1(a1216) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a1217)
          & ~ c1_1(a1217)
          & ~ c3_1(a1217) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a1219)
          & c2_1(a1219)
          & ~ c0_1(a1219) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a1223)
          & ~ c1_1(a1223)
          & ~ c3_1(a1223) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a1224)
          & c3_1(a1224)
          & ~ c2_1(a1224) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a1228)
          & c3_1(a1228)
          & ~ c2_1(a1228) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1229)
          & c2_1(a1229)
          & ~ c1_1(a1229) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a1232)
          & ~ c0_1(a1232)
          & ~ c2_1(a1232) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a1233)
          & c1_1(a1233)
          & ~ c2_1(a1233) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a1236)
          & ~ c1_1(a1236)
          & ~ c3_1(a1236) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a1237)
          & c3_1(a1237)
          & ~ c1_1(a1237) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a1246)
          & c3_1(a1246)
          & ~ c1_1(a1246) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a1247)
          & ~ c2_1(a1247)
          & ~ c3_1(a1247) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a1250)
          & c3_1(a1250)
          & ~ c0_1(a1250) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a1257)
          & ~ c0_1(a1257)
          & ~ c1_1(a1257) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1259)
          & ~ c2_1(a1259)
          & ~ c3_1(a1259) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a1261)
          & ~ c2_1(a1261)
          & ~ c3_1(a1261) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a1267)
          & ~ c1_1(a1267)
          & ~ c2_1(a1267) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a1204)
          & c2_1(a1204)
          & c3_1(a1204) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a1208)
          & c1_1(a1208)
          & c2_1(a1208) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a1213)
          & c2_1(a1213)
          & c3_1(a1213) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1214)
          & c1_1(a1214)
          & c3_1(a1214) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c3_1(X2)
              | ~ c1_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c3_1(X4)
              | ~ c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c2_1(X5)
              | ~ c0_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | ~ c1_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | hskp25
        | hskp0 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp1
        | hskp2 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | ~ c3_1(X12) ) )
        | hskp26 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | ~ c0_1(X15)
              | ~ c3_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | hskp25 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp3 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c3_1(X21)
              | ~ c0_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c3_1(X24)
              | ~ c0_1(X24) ) )
        | hskp4 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c1_1(X29)
              | ~ c3_1(X29) ) )
        | hskp5 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c0_1(X31)
              | ~ c1_1(X31) ) )
        | hskp27 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | hskp28 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | c3_1(X36) ) )
        | hskp6
        | hskp7 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) )
        | hskp8 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c3_1(X40)
              | ~ c0_1(X40) ) )
        | hskp25 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c1_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c1_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | c3_1(X46)
              | ~ c0_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp9 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c1_1(X51) ) )
        | hskp27
        | hskp0 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) )
        | hskp0 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | ~ c0_1(X55)
              | ~ c2_1(X55) ) )
        | hskp10 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | hskp11 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | ~ c0_1(X61)
              | ~ c1_1(X61) ) )
        | hskp1 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp3 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | hskp11 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp12 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | hskp13
        | hskp12 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp10 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c0_1(X73)
              | ~ c1_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) )
        | hskp14 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp15
        | hskp4 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp1
        | hskp16 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp17
        | hskp5 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp9 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) )
        | hskp14 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) )
        | hskp13
        | hskp6 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | hskp13
        | hskp14 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp6 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c1_1(X88) ) )
        | hskp18 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp19 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c1_1(X92)
              | ~ c2_1(X92) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp0 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp19
        | hskp20 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c2_1(X97) ) )
        | hskp8 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp10 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp11
        | hskp8 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp3 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c1_1(X103)
              | ~ c2_1(X103) ) )
        | hskp0
        | hskp21 )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp13
        | hskp22 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp0
        | hskp23 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c1_1(X106)
              | ~ c3_1(X106) ) )
        | hskp2
        | hskp7 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) )
        | hskp1 )
      & ( hskp26
        | hskp28
        | hskp24 )
      & ( hskp26
        | hskp25
        | hskp1 )
      & ( hskp15
        | hskp6
        | hskp5 )
      & ( hskp3
        | hskp24
        | hskp7 )
      & ( hskp25
        | hskp21 )
      & ( hskp17
        | hskp12
        | hskp4 )
      & ( hskp24
        | hskp19
        | hskp14 )
      & ( hskp16
        | hskp20
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp8 )
      & ( hskp22
        | hskp6
        | hskp7 )
      & ( hskp27
        | hskp19
        | hskp2 )
      & ( hskp4
        | hskp18
        | hskp7 )
      & ( hskp18
        | hskp10
        | hskp2 )
      & ( hskp18
        | hskp14
        | hskp23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a1205)
            & ~ c0_1(a1205)
            & ~ c1_1(a1205) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a1206)
            & c2_1(a1206)
            & ~ c3_1(a1206) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a1207)
            & ~ c1_1(a1207)
            & ~ c2_1(a1207) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a1210)
            & c1_1(a1210)
            & ~ c3_1(a1210) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1211)
            & ~ c0_1(a1211)
            & ~ c2_1(a1211) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a1212)
            & ~ c0_1(a1212)
            & ~ c3_1(a1212) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a1215)
            & c2_1(a1215)
            & ~ c3_1(a1215) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c1_1(a1216)
            & ~ c2_1(a1216)
            & ~ c3_1(a1216) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a1217)
            & ~ c1_1(a1217)
            & ~ c3_1(a1217) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1219)
            & c2_1(a1219)
            & ~ c0_1(a1219) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a1223)
            & ~ c1_1(a1223)
            & ~ c3_1(a1223) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a1224)
            & c3_1(a1224)
            & ~ c2_1(a1224) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a1228)
            & c3_1(a1228)
            & ~ c2_1(a1228) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1229)
            & c2_1(a1229)
            & ~ c1_1(a1229) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a1232)
            & ~ c0_1(a1232)
            & ~ c2_1(a1232) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a1233)
            & c1_1(a1233)
            & ~ c2_1(a1233) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a1236)
            & ~ c1_1(a1236)
            & ~ c3_1(a1236) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a1237)
            & c3_1(a1237)
            & ~ c1_1(a1237) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a1246)
            & c3_1(a1246)
            & ~ c1_1(a1246) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a1247)
            & ~ c2_1(a1247)
            & ~ c3_1(a1247) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a1250)
            & c3_1(a1250)
            & ~ c0_1(a1250) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a1257)
            & ~ c0_1(a1257)
            & ~ c1_1(a1257) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1259)
            & ~ c2_1(a1259)
            & ~ c3_1(a1259) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a1261)
            & ~ c2_1(a1261)
            & ~ c3_1(a1261) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a1267)
            & ~ c1_1(a1267)
            & ~ c2_1(a1267) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a1204)
            & c2_1(a1204)
            & c3_1(a1204) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a1208)
            & c1_1(a1208)
            & c2_1(a1208) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a1213)
            & c2_1(a1213)
            & c3_1(a1213) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1214)
            & c1_1(a1214)
            & c3_1(a1214) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c3_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c2_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | hskp25
          | hskp0 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp1
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c3_1(X12) ) )
          | hskp26 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c3_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | hskp25 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp3 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c3_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp4 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c1_1(X29)
                | ~ c3_1(X29) ) )
          | hskp5 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c0_1(X31)
                | ~ c1_1(X31) ) )
          | hskp27 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp28 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | hskp6
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) )
          | hskp8 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c3_1(X40)
                | ~ c0_1(X40) ) )
          | hskp25 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c1_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c1_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | c3_1(X46)
                | ~ c0_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp9 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c1_1(X51) ) )
          | hskp27
          | hskp0 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | hskp0 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) )
          | hskp10 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp11 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c1_1(X61) ) )
          | hskp1 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp3 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp11 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp12 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | hskp13
          | hskp12 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp10 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | ~ c1_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) )
          | hskp14 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp15
          | hskp4 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp1
          | hskp16 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp17
          | hskp5 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp9 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) )
          | hskp14 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | hskp13
          | hskp6 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp13
          | hskp14 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp6 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c1_1(X88) ) )
          | hskp18 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp19 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp0 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp19
          | hskp20 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c2_1(X97) ) )
          | hskp8 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp10 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp11
          | hskp8 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp3 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp0
          | hskp21 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp13
          | hskp22 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp0
          | hskp23 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c3_1(X106) ) )
          | hskp2
          | hskp7 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) )
          | hskp1 )
        & ( hskp26
          | hskp28
          | hskp24 )
        & ( hskp26
          | hskp25
          | hskp1 )
        & ( hskp15
          | hskp6
          | hskp5 )
        & ( hskp3
          | hskp24
          | hskp7 )
        & ( hskp25
          | hskp21 )
        & ( hskp17
          | hskp12
          | hskp4 )
        & ( hskp24
          | hskp19
          | hskp14 )
        & ( hskp16
          | hskp20
          | hskp23 )
        & ( hskp22
          | hskp6
          | hskp8 )
        & ( hskp22
          | hskp6
          | hskp7 )
        & ( hskp27
          | hskp19
          | hskp2 )
        & ( hskp4
          | hskp18
          | hskp7 )
        & ( hskp18
          | hskp10
          | hskp2 )
        & ( hskp18
          | hskp14
          | hskp23 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a1205)
        & ~ c0_1(a1205)
        & ~ c1_1(a1205) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1206)
        & c2_1(a1206)
        & ~ c3_1(a1206) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1207)
        & ~ c1_1(a1207)
        & ~ c2_1(a1207) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1210)
        & c1_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1211)
        & ~ c0_1(a1211)
        & ~ c2_1(a1211) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1212)
        & ~ c0_1(a1212)
        & ~ c3_1(a1212) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1215)
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c2_1(a1216)
        & ~ c3_1(a1216) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a1217)
        & ~ c1_1(a1217)
        & ~ c3_1(a1217) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1219)
        & c2_1(a1219)
        & ~ c0_1(a1219) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a1223)
        & ~ c1_1(a1223)
        & ~ c3_1(a1223) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1224)
        & c3_1(a1224)
        & ~ c2_1(a1224) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1228)
        & c3_1(a1228)
        & ~ c2_1(a1228) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1229)
        & c2_1(a1229)
        & ~ c1_1(a1229) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1233)
        & c1_1(a1233)
        & ~ c2_1(a1233) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1236)
        & ~ c1_1(a1236)
        & ~ c3_1(a1236) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1237)
        & c3_1(a1237)
        & ~ c1_1(a1237) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1246)
        & c3_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1247)
        & ~ c2_1(a1247)
        & ~ c3_1(a1247) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1250)
        & c3_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1257)
        & ~ c0_1(a1257)
        & ~ c1_1(a1257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1259)
        & ~ c2_1(a1259)
        & ~ c3_1(a1259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1261)
        & ~ c2_1(a1261)
        & ~ c3_1(a1261) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1267)
        & ~ c1_1(a1267)
        & ~ c2_1(a1267) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a1204)
        & c2_1(a1204)
        & c3_1(a1204) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1208)
        & c1_1(a1208)
        & c2_1(a1208) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a1213)
        & c2_1(a1213)
        & c3_1(a1213) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1214)
        & c1_1(a1214)
        & c3_1(a1214) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c3_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c2_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | ~ c1_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c0_1(X8)
            | ~ c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | hskp25
      | hskp0 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | hskp1
      | hskp2 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | ~ c3_1(X12) ) )
      | hskp26 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | ~ c0_1(X15)
            | ~ c3_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | c3_1(X17) ) )
      | hskp25 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | hskp3 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c3_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp4 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | ~ c1_1(X29)
            | ~ c3_1(X29) ) )
      | hskp5 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | ~ c0_1(X31)
            | ~ c1_1(X31) ) )
      | hskp27 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | ~ c1_1(X33)
            | ~ c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) )
      | hskp28 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | c3_1(X36) ) )
      | hskp6
      | hskp7 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c1_1(X38) ) )
      | hskp8 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c3_1(X40)
            | ~ c0_1(X40) ) )
      | hskp25 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c1_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c1_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c3_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | c3_1(X46)
            | ~ c0_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp9 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c1_1(X51) ) )
      | hskp27
      | hskp0 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | hskp0 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) )
      | hskp10 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp11 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c0_1(X61)
            | ~ c1_1(X61) ) )
      | hskp1 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp3 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | hskp11 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp12 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | hskp13
      | hskp12 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp10 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | ~ c1_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) )
      | hskp14 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp15
      | hskp4 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c3_1(X77) ) )
      | hskp1
      | hskp16 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | hskp17
      | hskp5 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp9 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c1_1(X82)
            | ~ c3_1(X82) ) )
      | hskp14 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) )
      | hskp13
      | hskp6 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c2_1(X84) ) )
      | hskp13
      | hskp14 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp6 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c1_1(X88) ) )
      | hskp18 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c1_1(X90) ) )
      | hskp19 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c1_1(X92)
            | ~ c2_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | hskp0 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | hskp19
      | hskp20 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c1_1(X97)
            | ~ c2_1(X97) ) )
      | hskp8 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp10 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp11
      | hskp8 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c0_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp3 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c1_1(X103)
            | ~ c2_1(X103) ) )
      | hskp0
      | hskp21 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | ~ c1_1(X104)
            | ~ c2_1(X104) ) )
      | hskp13
      | hskp22 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c2_1(X105) ) )
      | hskp0
      | hskp23 )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c1_1(X106)
            | ~ c3_1(X106) ) )
      | hskp2
      | hskp7 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) )
      | hskp1 )
    & ( hskp26
      | hskp28
      | hskp24 )
    & ( hskp26
      | hskp25
      | hskp1 )
    & ( hskp15
      | hskp6
      | hskp5 )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( hskp25
      | hskp21 )
    & ( hskp17
      | hskp12
      | hskp4 )
    & ( hskp24
      | hskp19
      | hskp14 )
    & ( hskp16
      | hskp20
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp8 )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( hskp27
      | hskp19
      | hskp2 )
    & ( hskp4
      | hskp18
      | hskp7 )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp18
      | hskp14
      | hskp23 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a1205)
        & ~ c0_1(a1205)
        & ~ c1_1(a1205) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1206)
        & c2_1(a1206)
        & ~ c3_1(a1206) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1207)
        & ~ c1_1(a1207)
        & ~ c2_1(a1207) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1210)
        & c1_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1211)
        & ~ c0_1(a1211)
        & ~ c2_1(a1211) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1212)
        & ~ c0_1(a1212)
        & ~ c3_1(a1212) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1215)
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c2_1(a1216)
        & ~ c3_1(a1216) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a1217)
        & ~ c1_1(a1217)
        & ~ c3_1(a1217) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1219)
        & c2_1(a1219)
        & ~ c0_1(a1219) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a1223)
        & ~ c1_1(a1223)
        & ~ c3_1(a1223) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1224)
        & c3_1(a1224)
        & ~ c2_1(a1224) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1228)
        & c3_1(a1228)
        & ~ c2_1(a1228) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1229)
        & c2_1(a1229)
        & ~ c1_1(a1229) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1233)
        & c1_1(a1233)
        & ~ c2_1(a1233) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1236)
        & ~ c1_1(a1236)
        & ~ c3_1(a1236) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1237)
        & c3_1(a1237)
        & ~ c1_1(a1237) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1246)
        & c3_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1247)
        & ~ c2_1(a1247)
        & ~ c3_1(a1247) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1250)
        & c3_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1257)
        & ~ c0_1(a1257)
        & ~ c1_1(a1257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1259)
        & ~ c2_1(a1259)
        & ~ c3_1(a1259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1261)
        & ~ c2_1(a1261)
        & ~ c3_1(a1261) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1267)
        & ~ c1_1(a1267)
        & ~ c2_1(a1267) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a1204)
        & c2_1(a1204)
        & c3_1(a1204) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1208)
        & c1_1(a1208)
        & c2_1(a1208) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a1213)
        & c2_1(a1213)
        & c3_1(a1213) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1214)
        & c1_1(a1214)
        & c3_1(a1214) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp15
      | hskp4 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp1
      | hskp16 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp5 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp13
      | hskp6 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp11
      | hskp8 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp0
      | hskp21 )
    & ( ! [X104] :
          ( ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp13
      | hskp22 )
    & ( ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp0
      | hskp23 )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp26
      | hskp28
      | hskp24 )
    & ( hskp26
      | hskp25
      | hskp1 )
    & ( hskp15
      | hskp6
      | hskp5 )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( hskp25
      | hskp21 )
    & ( hskp17
      | hskp12
      | hskp4 )
    & ( hskp24
      | hskp19
      | hskp14 )
    & ( hskp16
      | hskp20
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp8 )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( hskp27
      | hskp19
      | hskp2 )
    & ( hskp4
      | hskp18
      | hskp7 )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp18
      | hskp14
      | hskp23 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a1205)
        & ~ c0_1(a1205)
        & ~ c1_1(a1205) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1206)
        & c2_1(a1206)
        & ~ c3_1(a1206) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1207)
        & ~ c1_1(a1207)
        & ~ c2_1(a1207) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1210)
        & c1_1(a1210)
        & ~ c3_1(a1210) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1211)
        & ~ c0_1(a1211)
        & ~ c2_1(a1211) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1212)
        & ~ c0_1(a1212)
        & ~ c3_1(a1212) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1215)
        & c2_1(a1215)
        & ~ c3_1(a1215) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1216)
        & ~ c2_1(a1216)
        & ~ c3_1(a1216) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a1217)
        & ~ c1_1(a1217)
        & ~ c3_1(a1217) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1219)
        & c2_1(a1219)
        & ~ c0_1(a1219) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a1223)
        & ~ c1_1(a1223)
        & ~ c3_1(a1223) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a1224)
        & c3_1(a1224)
        & ~ c2_1(a1224) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1228)
        & c3_1(a1228)
        & ~ c2_1(a1228) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1229)
        & c2_1(a1229)
        & ~ c1_1(a1229) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c2_1(a1232) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a1233)
        & c1_1(a1233)
        & ~ c2_1(a1233) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1236)
        & ~ c1_1(a1236)
        & ~ c3_1(a1236) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1237)
        & c3_1(a1237)
        & ~ c1_1(a1237) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1246)
        & c3_1(a1246)
        & ~ c1_1(a1246) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1247)
        & ~ c2_1(a1247)
        & ~ c3_1(a1247) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a1250)
        & c3_1(a1250)
        & ~ c0_1(a1250) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a1257)
        & ~ c0_1(a1257)
        & ~ c1_1(a1257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1259)
        & ~ c2_1(a1259)
        & ~ c3_1(a1259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1261)
        & ~ c2_1(a1261)
        & ~ c3_1(a1261) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a1267)
        & ~ c1_1(a1267)
        & ~ c2_1(a1267) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a1204)
        & c2_1(a1204)
        & c3_1(a1204) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1208)
        & c1_1(a1208)
        & c2_1(a1208) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a1213)
        & c2_1(a1213)
        & c3_1(a1213) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1214)
        & c1_1(a1214)
        & c3_1(a1214) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c2_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp15
      | hskp4 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp1
      | hskp16 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp5 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp13
      | hskp6 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp11
      | hskp8 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp0
      | hskp21 )
    & ( ! [X104] :
          ( ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp13
      | hskp22 )
    & ( ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp0
      | hskp23 )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp26
      | hskp28
      | hskp24 )
    & ( hskp26
      | hskp25
      | hskp1 )
    & ( hskp15
      | hskp6
      | hskp5 )
    & ( hskp3
      | hskp24
      | hskp7 )
    & ( hskp25
      | hskp21 )
    & ( hskp17
      | hskp12
      | hskp4 )
    & ( hskp24
      | hskp19
      | hskp14 )
    & ( hskp16
      | hskp20
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp8 )
    & ( hskp22
      | hskp6
      | hskp7 )
    & ( hskp27
      | hskp19
      | hskp2 )
    & ( hskp4
      | hskp18
      | hskp7 )
    & ( hskp18
      | hskp10
      | hskp2 )
    & ( hskp18
      | hskp14
      | hskp23 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp18
    | hskp14
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp27
    | hskp19
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp16
    | hskp20
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp24
    | hskp19
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp25
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ( hskp3
    | hskp24
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ( hskp15
    | hskp6
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ( hskp26
    | hskp25
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ( hskp26
    | hskp28
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X108,X107] :
      ( ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | ~ c1_1(X108)
      | ~ c2_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X106] :
      ( ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X105] :
      ( ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | hskp0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X104] :
      ( ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ c2_1(X104)
      | ~ ndr1_0
      | hskp13
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X103] :
      ( c3_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | hskp0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X101,X102] :
      ( c2_1(X101)
      | ~ c0_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X98,X99] :
      ( c2_1(X98)
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X95] :
      ( c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X90,X89] :
      ( c1_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp13
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X82,X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c2_1(X82)
      | ~ c1_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X78] :
      ( c1_1(X78)
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | hskp17
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp1
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp15
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | c3_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c1_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X59] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X51] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X46,X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | c3_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c1_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c3_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X36] :
      ( c0_1(X36)
      | c2_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | ~ c0_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | c3_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c2_1(X15)
      | ~ c0_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp28
    | c3_1(a1214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp28
    | c1_1(a1214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp28
    | c0_1(a1214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp27
    | c3_1(a1213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp27
    | c2_1(a1213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp27
    | c1_1(a1213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp26
    | c2_1(a1208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp26
    | c1_1(a1208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp26
    | c0_1(a1208) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp25
    | c3_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp25
    | c2_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp25
    | c0_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp24
    | ~ c2_1(a1267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp24
    | ~ c1_1(a1267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp24
    | c0_1(a1267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp23
    | ~ c3_1(a1261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp23
    | ~ c2_1(a1261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp23
    | ~ c0_1(a1261) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp22
    | ~ c3_1(a1259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp22
    | c0_1(a1259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp21
    | ~ c1_1(a1257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp21
    | ~ c0_1(a1257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp21
    | c3_1(a1257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp20
    | ~ c0_1(a1250) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp20
    | c3_1(a1250) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp20
    | c2_1(a1250) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp19
    | ~ c3_1(a1247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp19
    | ~ c2_1(a1247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp19
    | c1_1(a1247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp18
    | ~ c1_1(a1246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp18
    | c3_1(a1246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp18
    | c2_1(a1246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp17
    | ~ c1_1(a1237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp17
    | c3_1(a1237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp17
    | c0_1(a1237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp16
    | ~ c3_1(a1236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp16
    | c0_1(a1236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp15
    | ~ c2_1(a1233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp15
    | c1_1(a1233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp15
    | c0_1(a1233) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp14
    | ~ c2_1(a1232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp14
    | ~ c0_1(a1232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp14
    | c3_1(a1232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp13
    | ~ c1_1(a1229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp13
    | c0_1(a1229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp12
    | ~ c2_1(a1228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp12
    | c0_1(a1228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp11
    | ~ c2_1(a1224) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp11
    | c3_1(a1224) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp11
    | c1_1(a1224) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp10
    | ~ c3_1(a1223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp10
    | ~ c1_1(a1223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp10
    | c2_1(a1223) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp9
    | ~ c0_1(a1219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp9
    | c2_1(a1219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp9
    | c1_1(a1219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp8
    | ~ c3_1(a1217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp8
    | ~ c1_1(a1217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp8
    | ~ c0_1(a1217) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp7
    | ~ c3_1(a1216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp7
    | ~ c2_1(a1216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp7
    | ~ c1_1(a1216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp6
    | ~ c3_1(a1215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp6
    | c2_1(a1215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp6
    | c1_1(a1215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp5
    | ~ c3_1(a1212) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp5
    | ~ c0_1(a1212) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp5
    | c2_1(a1212) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp4
    | ~ c2_1(a1211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp4
    | c1_1(a1211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp3
    | ~ c3_1(a1210) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp3
    | c1_1(a1210) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp3
    | c0_1(a1210) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp2
    | ~ c2_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp2
    | ~ c1_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp2
    | ~ c0_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp1
    | ~ c3_1(a1206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp1
    | c2_1(a1206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp1
    | c0_1(a1206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp0
    | ~ c1_1(a1205) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp0
    | ~ c0_1(a1205) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp0
    | c2_1(a1205) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ! [X2] :
      ( c0_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2)
      | sP0 ),
    inference(cnf_transformation,[],[f194_D]) ).

fof(f194_D,definition,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
  <=> ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[general_splitting_component_introduction]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0 ),
    inference(general_splitting,[],[f77,f194_D]) ).

fof(f196,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | sP1 ),
    inference(cnf_transformation,[],[f196_D]) ).

fof(f196_D,definition,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[general_splitting_component_introduction]) ).

fof(f197,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f195,f196_D]) ).

fof(f198,plain,
    ! [X3] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | sP2 ),
    inference(cnf_transformation,[],[f198_D]) ).

fof(f198_D,definition,
    ( ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c2_1(X3) )
  <=> ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[general_splitting_component_introduction]) ).

fof(f199,plain,
    ! [X4,X5] :
      ( ~ ndr1_0
      | c0_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ sP2 ),
    inference(general_splitting,[],[f76,f198_D]) ).

fof(f200,plain,
    ! [X4] :
      ( c0_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | sP3 ),
    inference(cnf_transformation,[],[f200_D]) ).

fof(f200_D,definition,
    ( ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | ~ c2_1(X4) )
  <=> ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[general_splitting_component_introduction]) ).

fof(f201,plain,
    ! [X5] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | c1_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0
      | ~ sP2
      | ~ sP3 ),
    inference(general_splitting,[],[f199,f200_D]) ).

fof(f202,plain,
    ! [X8] :
      ( c1_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | sP4 ),
    inference(cnf_transformation,[],[f202_D]) ).

fof(f202_D,definition,
    ( ! [X8] :
        ( c1_1(X8)
        | ~ c0_1(X8)
        | ~ c3_1(X8) )
  <=> ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[general_splitting_component_introduction]) ).

fof(f203,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP4 ),
    inference(general_splitting,[],[f75,f202_D]) ).

fof(f204,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | sP5 ),
    inference(cnf_transformation,[],[f204_D]) ).

fof(f204_D,definition,
    ( ! [X6] :
        ( c0_1(X6)
        | c1_1(X6)
        | c2_1(X6) )
  <=> ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[general_splitting_component_introduction]) ).

fof(f205,plain,
    ! [X7] :
      ( ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP4
      | ~ sP5 ),
    inference(general_splitting,[],[f203,f204_D]) ).

fof(f206,plain,
    ! [X11] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | sP6 ),
    inference(cnf_transformation,[],[f206_D]) ).

fof(f206_D,definition,
    ( ! [X11] :
        ( c0_1(X11)
        | c1_1(X11)
        | c3_1(X11) )
  <=> ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[general_splitting_component_introduction]) ).

fof(f207,plain,
    ! [X12] :
      ( ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp26
      | ~ sP6 ),
    inference(general_splitting,[],[f72,f206_D]) ).

fof(f208,plain,
    ! [X14] :
      ( c0_1(X14)
      | c2_1(X14)
      | c3_1(X14)
      | sP7 ),
    inference(cnf_transformation,[],[f208_D]) ).

fof(f208_D,definition,
    ( ! [X14] :
        ( c0_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
  <=> ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[general_splitting_component_introduction]) ).

fof(f209,plain,
    ! [X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X15)
      | ~ c0_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ sP7 ),
    inference(general_splitting,[],[f71,f208_D]) ).

fof(f210,plain,
    ! [X15] :
      ( c2_1(X15)
      | ~ c0_1(X15)
      | ~ c3_1(X15)
      | sP8 ),
    inference(cnf_transformation,[],[f210_D]) ).

fof(f210_D,definition,
    ( ! [X15] :
        ( c2_1(X15)
        | ~ c0_1(X15)
        | ~ c3_1(X15) )
  <=> ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[general_splitting_component_introduction]) ).

fof(f211,plain,
    ! [X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP7
      | ~ sP8 ),
    inference(general_splitting,[],[f209,f210_D]) ).

fof(f214,plain,
    ! [X18] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | sP10 ),
    inference(cnf_transformation,[],[f214_D]) ).

fof(f214_D,definition,
    ( ! [X18] :
        ( c0_1(X18)
        | c1_1(X18)
        | ~ c3_1(X18) )
  <=> ~ sP10 ),
    introduced(definition,[new_symbols(definition,[sP10])],[general_splitting_component_introduction]) ).

fof(f215,plain,
    ! [X19] :
      ( ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp3
      | ~ sP10 ),
    inference(general_splitting,[],[f69,f214_D]) ).

fof(f216,plain,
    ! [X21] :
      ( c2_1(X21)
      | c3_1(X21)
      | ~ c0_1(X21)
      | sP11 ),
    inference(cnf_transformation,[],[f216_D]) ).

fof(f216_D,definition,
    ( ! [X21] :
        ( c2_1(X21)
        | c3_1(X21)
        | ~ c0_1(X21) )
  <=> ~ sP11 ),
    introduced(definition,[new_symbols(definition,[sP11])],[general_splitting_component_introduction]) ).

fof(f217,plain,
    ! [X22,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | ~ sP11 ),
    inference(general_splitting,[],[f68,f216_D]) ).

fof(f218,plain,
    ! [X22] :
      ( ~ c0_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | sP12 ),
    inference(cnf_transformation,[],[f218_D]) ).

fof(f218_D,definition,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | ~ c2_1(X22)
        | ~ c3_1(X22) )
  <=> ~ sP12 ),
    introduced(definition,[new_symbols(definition,[sP12])],[general_splitting_component_introduction]) ).

fof(f219,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP11
      | ~ sP12 ),
    inference(general_splitting,[],[f217,f218_D]) ).

fof(f222,plain,
    ! [X26] :
      ( c3_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26)
      | sP14 ),
    inference(cnf_transformation,[],[f222_D]) ).

fof(f222_D,definition,
    ( ! [X26] :
        ( c3_1(X26)
        | ~ c0_1(X26)
        | ~ c2_1(X26) )
  <=> ~ sP14 ),
    introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).

fof(f223,plain,
    ! [X27,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ sP14 ),
    inference(general_splitting,[],[f66,f222_D]) ).

fof(f224,plain,
    ! [X27] :
      ( ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | sP15 ),
    inference(cnf_transformation,[],[f224_D]) ).

fof(f224_D,definition,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | ~ c1_1(X27)
        | ~ c3_1(X27) )
  <=> ~ sP15 ),
    introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).

fof(f225,plain,
    ! [X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP14
      | ~ sP15 ),
    inference(general_splitting,[],[f223,f224_D]) ).

fof(f226,plain,
    ! [X28] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | sP16 ),
    inference(cnf_transformation,[],[f226_D]) ).

fof(f226_D,definition,
    ( ! [X28] :
        ( c0_1(X28)
        | c1_1(X28)
        | ~ c3_1(X28) )
  <=> ~ sP16 ),
    introduced(definition,[new_symbols(definition,[sP16])],[general_splitting_component_introduction]) ).

fof(f227,plain,
    ! [X29] :
      ( ~ ndr1_0
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp5
      | ~ sP16 ),
    inference(general_splitting,[],[f65,f226_D]) ).

fof(f228,plain,
    ! [X31] :
      ( c2_1(X31)
      | ~ c0_1(X31)
      | ~ c1_1(X31)
      | sP17 ),
    inference(cnf_transformation,[],[f228_D]) ).

fof(f228_D,definition,
    ( ! [X31] :
        ( c2_1(X31)
        | ~ c0_1(X31)
        | ~ c1_1(X31) )
  <=> ~ sP17 ),
    introduced(definition,[new_symbols(definition,[sP17])],[general_splitting_component_introduction]) ).

fof(f229,plain,
    ! [X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp27
      | ~ sP17 ),
    inference(general_splitting,[],[f64,f228_D]) ).

fof(f230,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | sP18 ),
    inference(cnf_transformation,[],[f230_D]) ).

fof(f230_D,definition,
    ( ! [X34] :
        ( ~ c0_1(X34)
        | ~ c1_1(X34)
        | ~ c3_1(X34) )
  <=> ~ sP18 ),
    introduced(definition,[new_symbols(definition,[sP18])],[general_splitting_component_introduction]) ).

fof(f231,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18 ),
    inference(general_splitting,[],[f63,f230_D]) ).

fof(f232,plain,
    ! [X32] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | sP19 ),
    inference(cnf_transformation,[],[f232_D]) ).

fof(f232_D,definition,
    ( ! [X32] :
        ( c0_1(X32)
        | c2_1(X32)
        | c3_1(X32) )
  <=> ~ sP19 ),
    introduced(definition,[new_symbols(definition,[sP19])],[general_splitting_component_introduction]) ).

fof(f233,plain,
    ! [X33] :
      ( ~ ndr1_0
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18
      | ~ sP19 ),
    inference(general_splitting,[],[f231,f232_D]) ).

fof(f234,plain,
    ! [X38] :
      ( c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | sP20 ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,definition,
    ( ! [X38] :
        ( c0_1(X38)
        | c3_1(X38)
        | ~ c1_1(X38) )
  <=> ~ sP20 ),
    introduced(definition,[new_symbols(definition,[sP20])],[general_splitting_component_introduction]) ).

fof(f235,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp8
      | ~ sP20 ),
    inference(general_splitting,[],[f60,f234_D]) ).

fof(f236,plain,
    ! [X40] :
      ( c1_1(X40)
      | c3_1(X40)
      | ~ c0_1(X40)
      | sP21 ),
    inference(cnf_transformation,[],[f236_D]) ).

fof(f236_D,definition,
    ( ! [X40] :
        ( c1_1(X40)
        | c3_1(X40)
        | ~ c0_1(X40) )
  <=> ~ sP21 ),
    introduced(definition,[new_symbols(definition,[sP21])],[general_splitting_component_introduction]) ).

fof(f237,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp25
      | ~ sP21 ),
    inference(general_splitting,[],[f59,f236_D]) ).

fof(f238,plain,
    ! [X41] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | sP22 ),
    inference(cnf_transformation,[],[f238_D]) ).

fof(f238_D,definition,
    ( ! [X41] :
        ( c0_1(X41)
        | c2_1(X41)
        | ~ c3_1(X41) )
  <=> ~ sP22 ),
    introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).

fof(f239,plain,
    ! [X42,X43] :
      ( ~ ndr1_0
      | c2_1(X42)
      | ~ c1_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | ~ sP22 ),
    inference(general_splitting,[],[f58,f238_D]) ).

fof(f240,plain,
    ! [X42] :
      ( c2_1(X42)
      | ~ c1_1(X42)
      | ~ c3_1(X42)
      | sP23 ),
    inference(cnf_transformation,[],[f240_D]) ).

fof(f240_D,definition,
    ( ! [X42] :
        ( c2_1(X42)
        | ~ c1_1(X42)
        | ~ c3_1(X42) )
  <=> ~ sP23 ),
    introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).

fof(f241,plain,
    ! [X43] :
      ( ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | ~ sP22
      | ~ sP23 ),
    inference(general_splitting,[],[f239,f240_D]) ).

fof(f242,plain,
    ! [X46] :
      ( c2_1(X46)
      | c3_1(X46)
      | ~ c0_1(X46)
      | sP24 ),
    inference(cnf_transformation,[],[f242_D]) ).

fof(f242_D,definition,
    ( ! [X46] :
        ( c2_1(X46)
        | c3_1(X46)
        | ~ c0_1(X46) )
  <=> ~ sP24 ),
    introduced(definition,[new_symbols(definition,[sP24])],[general_splitting_component_introduction]) ).

fof(f243,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP24 ),
    inference(general_splitting,[],[f57,f242_D]) ).

fof(f244,plain,
    ! [X44] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | sP25 ),
    inference(cnf_transformation,[],[f244_D]) ).

fof(f244_D,definition,
    ( ! [X44] :
        ( c0_1(X44)
        | c3_1(X44)
        | ~ c1_1(X44) )
  <=> ~ sP25 ),
    introduced(definition,[new_symbols(definition,[sP25])],[general_splitting_component_introduction]) ).

fof(f245,plain,
    ! [X45] :
      ( ~ ndr1_0
      | c1_1(X45)
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP24
      | ~ sP25 ),
    inference(general_splitting,[],[f243,f244_D]) ).

fof(f246,plain,
    ! [X48] :
      ( ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | sP26 ),
    inference(cnf_transformation,[],[f246_D]) ).

fof(f246_D,definition,
    ( ! [X48] :
        ( ~ c0_1(X48)
        | ~ c2_1(X48)
        | ~ c3_1(X48) )
  <=> ~ sP26 ),
    introduced(definition,[new_symbols(definition,[sP26])],[general_splitting_component_introduction]) ).

fof(f247,plain,
    ! [X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp9
      | ~ sP26 ),
    inference(general_splitting,[],[f56,f246_D]) ).

fof(f248,plain,
    ! [X50] :
      ( ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | sP27 ),
    inference(cnf_transformation,[],[f248_D]) ).

fof(f248_D,definition,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c2_1(X50)
        | ~ c3_1(X50) )
  <=> ~ sP27 ),
    introduced(definition,[new_symbols(definition,[sP27])],[general_splitting_component_introduction]) ).

fof(f249,plain,
    ! [X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP27 ),
    inference(general_splitting,[],[f55,f248_D]) ).

fof(f250,plain,
    ! [X52] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | sP28 ),
    inference(cnf_transformation,[],[f250_D]) ).

fof(f250_D,definition,
    ( ! [X52] :
        ( c0_1(X52)
        | c3_1(X52)
        | ~ c2_1(X52) )
  <=> ~ sP28 ),
    introduced(definition,[new_symbols(definition,[sP28])],[general_splitting_component_introduction]) ).

fof(f251,plain,
    ! [X53] :
      ( ~ ndr1_0
      | c1_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | hskp0
      | ~ sP28 ),
    inference(general_splitting,[],[f53,f250_D]) ).

fof(f252,plain,
    ! [X54] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | sP29 ),
    inference(cnf_transformation,[],[f252_D]) ).

fof(f252_D,definition,
    ( ! [X54] :
        ( c0_1(X54)
        | c3_1(X54)
        | ~ c2_1(X54) )
  <=> ~ sP29 ),
    introduced(definition,[new_symbols(definition,[sP29])],[general_splitting_component_introduction]) ).

fof(f253,plain,
    ! [X55] :
      ( ~ ndr1_0
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp10
      | ~ sP29 ),
    inference(general_splitting,[],[f52,f252_D]) ).

fof(f254,plain,
    ! [X58] :
      ( ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | sP30 ),
    inference(cnf_transformation,[],[f254_D]) ).

fof(f254_D,definition,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | ~ c2_1(X58)
        | ~ c3_1(X58) )
  <=> ~ sP30 ),
    introduced(definition,[new_symbols(definition,[sP30])],[general_splitting_component_introduction]) ).

fof(f255,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP30 ),
    inference(general_splitting,[],[f51,f254_D]) ).

fof(f256,plain,
    ! [X56] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | sP31 ),
    inference(cnf_transformation,[],[f256_D]) ).

fof(f256_D,definition,
    ( ! [X56] :
        ( c0_1(X56)
        | c3_1(X56)
        | ~ c2_1(X56) )
  <=> ~ sP31 ),
    introduced(definition,[new_symbols(definition,[sP31])],[general_splitting_component_introduction]) ).

fof(f257,plain,
    ! [X57] :
      ( ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP30
      | ~ sP31 ),
    inference(general_splitting,[],[f255,f256_D]) ).

fof(f258,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | sP32 ),
    inference(cnf_transformation,[],[f258_D]) ).

fof(f258_D,definition,
    ( ! [X60] :
        ( c0_1(X60)
        | ~ c1_1(X60)
        | ~ c2_1(X60) )
  <=> ~ sP32 ),
    introduced(definition,[new_symbols(definition,[sP32])],[general_splitting_component_introduction]) ).

fof(f259,plain,
    ! [X61] :
      ( ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | hskp1
      | ~ sP32 ),
    inference(general_splitting,[],[f49,f258_D]) ).

fof(f260,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | sP33 ),
    inference(cnf_transformation,[],[f260_D]) ).

fof(f260_D,definition,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62)
        | ~ c3_1(X62) )
  <=> ~ sP33 ),
    introduced(definition,[new_symbols(definition,[sP33])],[general_splitting_component_introduction]) ).

fof(f261,plain,
    ! [X63] :
      ( ~ ndr1_0
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp3
      | ~ sP33 ),
    inference(general_splitting,[],[f48,f260_D]) ).

fof(f262,plain,
    ! [X65] :
      ( c3_1(X65)
      | ~ c1_1(X65)
      | ~ c2_1(X65)
      | sP34 ),
    inference(cnf_transformation,[],[f262_D]) ).

fof(f262_D,definition,
    ( ! [X65] :
        ( c3_1(X65)
        | ~ c1_1(X65)
        | ~ c2_1(X65) )
  <=> ~ sP34 ),
    introduced(definition,[new_symbols(definition,[sP34])],[general_splitting_component_introduction]) ).

fof(f263,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp11
      | ~ sP34 ),
    inference(general_splitting,[],[f47,f262_D]) ).

fof(f264,plain,
    ! [X66] :
      ( c1_1(X66)
      | c2_1(X66)
      | c3_1(X66)
      | sP35 ),
    inference(cnf_transformation,[],[f264_D]) ).

fof(f264_D,definition,
    ( ! [X66] :
        ( c1_1(X66)
        | c2_1(X66)
        | c3_1(X66) )
  <=> ~ sP35 ),
    introduced(definition,[new_symbols(definition,[sP35])],[general_splitting_component_introduction]) ).

fof(f265,plain,
    ! [X67] :
      ( ~ ndr1_0
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp12
      | ~ sP35 ),
    inference(general_splitting,[],[f46,f264_D]) ).

fof(f266,plain,
    ! [X70] :
      ( c2_1(X70)
      | c3_1(X70)
      | ~ c0_1(X70)
      | sP36 ),
    inference(cnf_transformation,[],[f266_D]) ).

fof(f266_D,definition,
    ( ! [X70] :
        ( c2_1(X70)
        | c3_1(X70)
        | ~ c0_1(X70) )
  <=> ~ sP36 ),
    introduced(definition,[new_symbols(definition,[sP36])],[general_splitting_component_introduction]) ).

fof(f267,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp10
      | ~ sP36 ),
    inference(general_splitting,[],[f44,f266_D]) ).

fof(f268,plain,
    ! [X72] :
      ( c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | sP37 ),
    inference(cnf_transformation,[],[f268_D]) ).

fof(f268_D,definition,
    ( ! [X72] :
        ( c2_1(X72)
        | c3_1(X72)
        | ~ c1_1(X72) )
  <=> ~ sP37 ),
    introduced(definition,[new_symbols(definition,[sP37])],[general_splitting_component_introduction]) ).

fof(f269,plain,
    ! [X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ sP37 ),
    inference(general_splitting,[],[f43,f268_D]) ).

fof(f270,plain,
    ! [X73] :
      ( c3_1(X73)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | sP38 ),
    inference(cnf_transformation,[],[f270_D]) ).

fof(f270_D,definition,
    ( ! [X73] :
        ( c3_1(X73)
        | ~ c0_1(X73)
        | ~ c1_1(X73) )
  <=> ~ sP38 ),
    introduced(definition,[new_symbols(definition,[sP38])],[general_splitting_component_introduction]) ).

fof(f271,plain,
    ! [X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP37
      | ~ sP38 ),
    inference(general_splitting,[],[f269,f270_D]) ).

fof(f272,plain,
    ! [X74] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | sP39 ),
    inference(cnf_transformation,[],[f272_D]) ).

fof(f272_D,definition,
    ( ! [X74] :
        ( c1_1(X74)
        | c2_1(X74)
        | ~ c0_1(X74) )
  <=> ~ sP39 ),
    introduced(definition,[new_symbols(definition,[sP39])],[general_splitting_component_introduction]) ).

fof(f273,plain,
    ! [X75] :
      ( ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | hskp14
      | ~ sP39 ),
    inference(general_splitting,[],[f42,f272_D]) ).

fof(f274,plain,
    ! [X80] :
      ( c1_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | sP40 ),
    inference(cnf_transformation,[],[f274_D]) ).

fof(f274_D,definition,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c0_1(X80)
        | ~ c3_1(X80) )
  <=> ~ sP40 ),
    introduced(definition,[new_symbols(definition,[sP40])],[general_splitting_component_introduction]) ).

fof(f275,plain,
    ! [X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp9
      | ~ sP40 ),
    inference(general_splitting,[],[f38,f274_D]) ).

fof(f276,plain,
    ! [X82] :
      ( c2_1(X82)
      | ~ c1_1(X82)
      | ~ c3_1(X82)
      | sP41 ),
    inference(cnf_transformation,[],[f276_D]) ).

fof(f276_D,definition,
    ( ! [X82] :
        ( c2_1(X82)
        | ~ c1_1(X82)
        | ~ c3_1(X82) )
  <=> ~ sP41 ),
    introduced(definition,[new_symbols(definition,[sP41])],[general_splitting_component_introduction]) ).

fof(f277,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp14
      | ~ sP41 ),
    inference(general_splitting,[],[f37,f276_D]) ).

fof(f278,plain,
    ! [X86] :
      ( c2_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | sP42 ),
    inference(cnf_transformation,[],[f278_D]) ).

fof(f278_D,definition,
    ( ! [X86] :
        ( c2_1(X86)
        | ~ c0_1(X86)
        | ~ c3_1(X86) )
  <=> ~ sP42 ),
    introduced(definition,[new_symbols(definition,[sP42])],[general_splitting_component_introduction]) ).

fof(f279,plain,
    ! [X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp6
      | ~ sP42 ),
    inference(general_splitting,[],[f34,f278_D]) ).

fof(f282,plain,
    ! [X90] :
      ( c2_1(X90)
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | sP44 ),
    inference(cnf_transformation,[],[f282_D]) ).

fof(f282_D,definition,
    ( ! [X90] :
        ( c2_1(X90)
        | ~ c0_1(X90)
        | ~ c1_1(X90) )
  <=> ~ sP44 ),
    introduced(definition,[new_symbols(definition,[sP44])],[general_splitting_component_introduction]) ).

fof(f283,plain,
    ! [X89] :
      ( c1_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp19
      | ~ sP44 ),
    inference(general_splitting,[],[f32,f282_D]) ).

fof(f284,plain,
    ! [X91] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | sP45 ),
    inference(cnf_transformation,[],[f284_D]) ).

fof(f284_D,definition,
    ( ! [X91] :
        ( c2_1(X91)
        | c3_1(X91)
        | ~ c0_1(X91) )
  <=> ~ sP45 ),
    introduced(definition,[new_symbols(definition,[sP45])],[general_splitting_component_introduction]) ).

fof(f285,plain,
    ! [X92] :
      ( ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | ~ sP45 ),
    inference(general_splitting,[],[f31,f284_D]) ).

fof(f290,plain,
    ! [X98] :
      ( c2_1(X98)
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | sP48 ),
    inference(cnf_transformation,[],[f290_D]) ).

fof(f290_D,definition,
    ( ! [X98] :
        ( c2_1(X98)
        | ~ c0_1(X98)
        | ~ c1_1(X98) )
  <=> ~ sP48 ),
    introduced(definition,[new_symbols(definition,[sP48])],[general_splitting_component_introduction]) ).

fof(f291,plain,
    ! [X99] :
      ( ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp10
      | ~ sP48 ),
    inference(general_splitting,[],[f27,f290_D]) ).

fof(f292,plain,
    ! [X101] :
      ( c2_1(X101)
      | ~ c0_1(X101)
      | ~ c3_1(X101)
      | sP49 ),
    inference(cnf_transformation,[],[f292_D]) ).

fof(f292_D,definition,
    ( ! [X101] :
        ( c2_1(X101)
        | ~ c0_1(X101)
        | ~ c3_1(X101) )
  <=> ~ sP49 ),
    introduced(definition,[new_symbols(definition,[sP49])],[general_splitting_component_introduction]) ).

fof(f293,plain,
    ! [X102] :
      ( ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp3
      | ~ sP49 ),
    inference(general_splitting,[],[f25,f292_D]) ).

fof(f294,plain,
    ! [X108] :
      ( ~ c1_1(X108)
      | ~ c2_1(X108)
      | ~ c3_1(X108)
      | sP50 ),
    inference(cnf_transformation,[],[f294_D]) ).

fof(f294_D,definition,
    ( ! [X108] :
        ( ~ c1_1(X108)
        | ~ c2_1(X108)
        | ~ c3_1(X108) )
  <=> ~ sP50 ),
    introduced(definition,[new_symbols(definition,[sP50])],[general_splitting_component_introduction]) ).

fof(f295,plain,
    ! [X107] :
      ( ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp1
      | ~ sP50 ),
    inference(general_splitting,[],[f20,f294_D]) ).

fof(f296,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ sP0
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f297,plain,
    ! [X5] :
      ( ~ ndr1_0
      | c1_1(X5)
      | c2_1(X5)
      | ~ c0_1(X5)
      | ~ sP2
      | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f298,plain,
    ! [X7] :
      ( ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ sP4
      | ~ sP5 ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f299,plain,
    ! [X12] :
      ( ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | hskp26
      | ~ sP6 ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f300,plain,
    ! [X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ sP7
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f302,plain,
    ! [X19] :
      ( ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | hskp3
      | ~ sP10 ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f303,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ sP11
      | ~ sP12 ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f305,plain,
    ! [X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ sP14
      | ~ sP15 ),
    inference(duplicate_literal_removal,[],[f225]) ).

fof(f306,plain,
    ! [X29] :
      ( ~ ndr1_0
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | hskp5
      | ~ sP16 ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f307,plain,
    ! [X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | hskp27
      | ~ sP17 ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f308,plain,
    ! [X33] :
      ( ~ ndr1_0
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | ~ sP18
      | ~ sP19 ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f309,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | hskp8
      | ~ sP20 ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f310,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | hskp25
      | ~ sP21 ),
    inference(duplicate_literal_removal,[],[f237]) ).

fof(f311,plain,
    ! [X43] :
      ( ~ ndr1_0
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ sP22
      | ~ sP23 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f312,plain,
    ! [X45] :
      ( ~ ndr1_0
      | c1_1(X45)
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ sP24
      | ~ sP25 ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f313,plain,
    ! [X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | hskp9
      | ~ sP26 ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f314,plain,
    ! [X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | ~ sP27 ),
    inference(duplicate_literal_removal,[],[f249]) ).

fof(f315,plain,
    ! [X53] :
      ( ~ ndr1_0
      | c1_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | hskp0
      | ~ sP28 ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f316,plain,
    ! [X55] :
      ( ~ ndr1_0
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | hskp10
      | ~ sP29 ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f317,plain,
    ! [X57] :
      ( ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ sP30
      | ~ sP31 ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f318,plain,
    ! [X61] :
      ( ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | hskp1
      | ~ sP32 ),
    inference(duplicate_literal_removal,[],[f259]) ).

fof(f319,plain,
    ! [X63] :
      ( ~ ndr1_0
      | c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | hskp3
      | ~ sP33 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f320,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp11
      | ~ sP34 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f321,plain,
    ! [X67] :
      ( ~ ndr1_0
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | hskp12
      | ~ sP35 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f322,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | hskp10
      | ~ sP36 ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f323,plain,
    ! [X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | ~ sP37
      | ~ sP38 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f324,plain,
    ! [X75] :
      ( ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | hskp14
      | ~ sP39 ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f325,plain,
    ! [X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | hskp9
      | ~ sP40 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f326,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp14
      | ~ sP41 ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f327,plain,
    ! [X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | hskp6
      | ~ sP42 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f329,plain,
    ! [X89] :
      ( c1_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp19
      | ~ sP44 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f330,plain,
    ! [X92] :
      ( ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ sP45 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f333,plain,
    ! [X99] :
      ( ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | hskp10
      | ~ sP48 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f334,plain,
    ! [X102] :
      ( ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | hskp3
      | ~ sP49 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f335,plain,
    ! [X107] :
      ( ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ c3_1(X107)
      | ~ ndr1_0
      | hskp1
      | ~ sP50 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f337,definition,
    ( spl51_1
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f341,definition,
    ( spl51_2
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f345,definition,
    ( spl51_3
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f348,plain,
    ( spl51_1
    | spl51_2
    | spl51_3 ),
    inference(avatar_split_clause,[],[f6,f345,f341,f337]) ).

fof(f350,definition,
    ( spl51_4
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f354,definition,
    ( spl51_5
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).

fof(f359,definition,
    ( spl51_6
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f363,definition,
    ( spl51_7
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).

fof(f368,definition,
    ( spl51_8
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).

fof(f372,definition,
    ( spl51_9
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl51_9])],[avatar_definition]) ).

fof(f375,plain,
    ( spl51_4
    | spl51_8
    | spl51_9 ),
    inference(avatar_split_clause,[],[f9,f372,f368,f350]) ).

fof(f377,definition,
    ( spl51_10
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl51_10])],[avatar_definition]) ).

fof(f381,definition,
    ( spl51_11
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl51_11])],[avatar_definition]) ).

fof(f386,definition,
    ( spl51_12
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl51_12])],[avatar_definition]) ).

fof(f391,definition,
    ( spl51_13
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl51_13])],[avatar_definition]) ).

fof(f395,definition,
    ( spl51_14
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl51_14])],[avatar_definition]) ).

fof(f398,plain,
    ( spl51_1
    | spl51_13
    | spl51_14 ),
    inference(avatar_split_clause,[],[f12,f395,f391,f337]) ).

fof(f400,definition,
    ( spl51_15
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl51_15])],[avatar_definition]) ).

fof(f403,plain,
    ( spl51_2
    | spl51_8
    | spl51_15 ),
    inference(avatar_split_clause,[],[f13,f400,f368,f341]) ).

fof(f405,definition,
    ( spl51_16
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl51_16])],[avatar_definition]) ).

fof(f409,definition,
    ( spl51_17
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl51_17])],[avatar_definition]) ).

fof(f414,definition,
    ( spl51_18
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl51_18])],[avatar_definition]) ).

fof(f418,definition,
    ( spl51_19
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl51_19])],[avatar_definition]) ).

fof(f421,plain,
    ( spl51_18
    | spl51_19 ),
    inference(avatar_split_clause,[],[f15,f418,f414]) ).

fof(f423,definition,
    ( spl51_20
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl51_20])],[avatar_definition]) ).

fof(f426,plain,
    ( spl51_6
    | spl51_15
    | spl51_20 ),
    inference(avatar_split_clause,[],[f16,f423,f400,f359]) ).

fof(f428,definition,
    ( spl51_21
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl51_21])],[avatar_definition]) ).

fof(f432,definition,
    ( spl51_22
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl51_22])],[avatar_definition]) ).

fof(f435,plain,
    ( spl51_21
    | spl51_10
    | spl51_22 ),
    inference(avatar_split_clause,[],[f17,f432,f377,f428]) ).

fof(f437,definition,
    ( spl51_23
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl51_23])],[avatar_definition]) ).

fof(f441,definition,
    ( spl51_24
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl51_24])],[avatar_definition]) ).

fof(f444,plain,
    ( spl51_23
    | spl51_19
    | spl51_24 ),
    inference(avatar_split_clause,[],[f18,f441,f418,f437]) ).

fof(f446,definition,
    ( spl51_25
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl51_25])],[avatar_definition]) ).

fof(f449,plain,
    ( spl51_15
    | spl51_25
    | spl51_24 ),
    inference(avatar_split_clause,[],[f19,f441,f446,f400]) ).

fof(f451,definition,
    ( spl51_26
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl51_26])],[avatar_definition]) ).

fof(f455,definition,
    ( spl51_27
  <=> ! [X106] :
        ( ~ c0_1(X106)
        | ~ c3_1(X106)
        | ~ c1_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl51_27])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c0_1(X106)
        | ~ c1_1(X106) )
    | ~ spl51_27 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl51_6
    | spl51_4
    | ~ spl51_26
    | spl51_27 ),
    inference(avatar_split_clause,[],[f21,f455,f451,f350,f359]) ).

fof(f459,definition,
    ( spl51_28
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl51_28])],[avatar_definition]) ).

fof(f463,definition,
    ( spl51_29
  <=> ! [X105] :
        ( ~ c0_1(X105)
        | ~ c2_1(X105)
        | ~ c1_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl51_29])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | ~ c2_1(X105)
        | ~ c0_1(X105) )
    | ~ spl51_29 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl51_1
    | spl51_28
    | ~ spl51_26
    | spl51_29 ),
    inference(avatar_split_clause,[],[f22,f463,f451,f459,f337]) ).

fof(f467,definition,
    ( spl51_30
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl51_30])],[avatar_definition]) ).

fof(f470,plain,
    ( spl51_11
    | spl51_30
    | ~ spl51_26
    | spl51_29 ),
    inference(avatar_split_clause,[],[f23,f463,f451,f467,f381]) ).

fof(f472,definition,
    ( spl51_31
  <=> ! [X103] :
        ( c3_1(X103)
        | ~ c2_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl51_31])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c2_1(X103)
        | c3_1(X103) )
    | ~ spl51_31 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( spl51_18
    | spl51_28
    | ~ spl51_26
    | spl51_31 ),
    inference(avatar_split_clause,[],[f24,f472,f451,f459,f414]) ).

fof(f476,definition,
    ( spl51_32
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl51_32])],[avatar_definition]) ).

fof(f480,definition,
    ( spl51_33
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c1_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl51_33])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X100] :
        ( c2_1(X100)
        | ~ c1_1(X100)
        | ~ c0_1(X100) )
    | ~ spl51_33 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f484,definition,
    ( spl51_34
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c1_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl51_34])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | c2_1(X95)
        | c3_1(X95) )
    | ~ spl51_34 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl51_13
    | spl51_8
    | ~ spl51_26
    | spl51_34 ),
    inference(avatar_split_clause,[],[f29,f484,f451,f368,f391]) ).

fof(f488,definition,
    ( spl51_35
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c2_1(X84)
        | c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl51_35])],[avatar_definition]) ).

fof(f489,plain,
    ( ! [X84] :
        ( ~ c2_1(X84)
        | c1_1(X84)
        | c3_1(X84) )
    | ~ spl51_35 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f491,plain,
    ( spl51_10
    | spl51_30
    | ~ spl51_26
    | spl51_35 ),
    inference(avatar_split_clause,[],[f36,f488,f451,f467,f377]) ).

fof(f493,definition,
    ( spl51_36
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c0_1(X78)
        | c3_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl51_36])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X78] :
        ( ~ c0_1(X78)
        | c1_1(X78)
        | c3_1(X78) )
    | ~ spl51_36 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( spl51_21
    | spl51_17
    | ~ spl51_26
    | spl51_36 ),
    inference(avatar_split_clause,[],[f39,f493,f451,f409,f428]) ).

fof(f497,definition,
    ( spl51_37
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl51_37])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77)
        | c2_1(X77) )
    | ~ spl51_37 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl51_14
    | spl51_23
    | ~ spl51_26
    | spl51_37 ),
    inference(avatar_split_clause,[],[f40,f497,f451,f437,f395]) ).

fof(f500,plain,
    ( spl51_7
    | spl51_22
    | ~ spl51_26
    | spl51_37 ),
    inference(avatar_split_clause,[],[f41,f497,f451,f432,f363]) ).

fof(f502,definition,
    ( spl51_38
  <=> ! [X68] :
        ( c1_1(X68)
        | c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl51_38])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c1_1(X68)
        | c2_1(X68) )
    | ~ spl51_38 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f506,definition,
    ( spl51_39
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl51_39])],[avatar_definition]) ).

fof(f507,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl51_39 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f508,plain,
    ( spl51_32
    | ~ spl51_26
    | spl51_39 ),
    inference(avatar_split_clause,[],[f50,f506,f451,f476]) ).

fof(f510,definition,
    ( spl51_40
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c1_1(X51)
        | c3_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl51_40])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c0_1(X51)
        | c3_1(X51) )
    | ~ spl51_40 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl51_28
    | spl51_9
    | ~ spl51_26
    | spl51_40 ),
    inference(avatar_split_clause,[],[f54,f510,f451,f372,f459]) ).

fof(f514,definition,
    ( spl51_41
  <=> ! [X36] :
        ( c0_1(X36)
        | c3_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl51_41])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X36] :
        ( c3_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl51_41 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( spl51_6
    | spl51_10
    | ~ spl51_26
    | spl51_41 ),
    inference(avatar_split_clause,[],[f61,f514,f451,f377,f359]) ).

fof(f517,plain,
    ( spl51_25
    | ~ spl51_26
    | spl51_41 ),
    inference(avatar_split_clause,[],[f62,f514,f451,f446]) ).

fof(f519,definition,
    ( spl51_42
  <=> ! [X10] :
        ( c0_1(X10)
        | c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl51_42])],[avatar_definition]) ).

fof(f520,plain,
    ( ! [X10] :
        ( c1_1(X10)
        | c2_1(X10)
        | c0_1(X10) )
    | ~ spl51_42 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( spl51_4
    | spl51_23
    | ~ spl51_26
    | spl51_42 ),
    inference(avatar_split_clause,[],[f73,f519,f451,f437,f350]) ).

fof(f524,definition,
    ( spl51_43
  <=> c3_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl51_43])],[avatar_definition]) ).

fof(f526,plain,
    ( c3_1(a1214)
    | ~ spl51_43 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f527,plain,
    ( spl51_43
    | ~ spl51_25 ),
    inference(avatar_split_clause,[],[f78,f446,f524]) ).

fof(f529,definition,
    ( spl51_44
  <=> c1_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl51_44])],[avatar_definition]) ).

fof(f531,plain,
    ( c1_1(a1214)
    | ~ spl51_44 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f532,plain,
    ( spl51_44
    | ~ spl51_25 ),
    inference(avatar_split_clause,[],[f79,f446,f529]) ).

fof(f534,definition,
    ( spl51_45
  <=> c0_1(a1214) ),
    introduced(definition,[new_symbols(definition,[spl51_45])],[avatar_definition]) ).

fof(f536,plain,
    ( c0_1(a1214)
    | ~ spl51_45 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f537,plain,
    ( spl51_45
    | ~ spl51_25 ),
    inference(avatar_split_clause,[],[f80,f446,f534]) ).

fof(f540,definition,
    ( spl51_46
  <=> c3_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl51_46])],[avatar_definition]) ).

fof(f542,plain,
    ( c3_1(a1213)
    | ~ spl51_46 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f543,plain,
    ( spl51_46
    | ~ spl51_9 ),
    inference(avatar_split_clause,[],[f82,f372,f540]) ).

fof(f545,definition,
    ( spl51_47
  <=> c2_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl51_47])],[avatar_definition]) ).

fof(f547,plain,
    ( c2_1(a1213)
    | ~ spl51_47 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f548,plain,
    ( spl51_47
    | ~ spl51_9 ),
    inference(avatar_split_clause,[],[f83,f372,f545]) ).

fof(f550,definition,
    ( spl51_48
  <=> c1_1(a1213) ),
    introduced(definition,[new_symbols(definition,[spl51_48])],[avatar_definition]) ).

fof(f552,plain,
    ( c1_1(a1213)
    | ~ spl51_48 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( spl51_48
    | ~ spl51_9 ),
    inference(avatar_split_clause,[],[f84,f372,f550]) ).

fof(f556,definition,
    ( spl51_49
  <=> c2_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl51_49])],[avatar_definition]) ).

fof(f558,plain,
    ( c2_1(a1208)
    | ~ spl51_49 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f559,plain,
    ( spl51_49
    | ~ spl51_24 ),
    inference(avatar_split_clause,[],[f86,f441,f556]) ).

fof(f561,definition,
    ( spl51_50
  <=> c1_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl51_50])],[avatar_definition]) ).

fof(f563,plain,
    ( c1_1(a1208)
    | ~ spl51_50 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f564,plain,
    ( spl51_50
    | ~ spl51_24 ),
    inference(avatar_split_clause,[],[f87,f441,f561]) ).

fof(f566,definition,
    ( spl51_51
  <=> c0_1(a1208) ),
    introduced(definition,[new_symbols(definition,[spl51_51])],[avatar_definition]) ).

fof(f569,plain,
    ( spl51_51
    | ~ spl51_24 ),
    inference(avatar_split_clause,[],[f88,f441,f566]) ).

fof(f572,definition,
    ( spl51_52
  <=> c3_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl51_52])],[avatar_definition]) ).

fof(f574,plain,
    ( c3_1(a1204)
    | ~ spl51_52 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( spl51_52
    | ~ spl51_19 ),
    inference(avatar_split_clause,[],[f90,f418,f572]) ).

fof(f577,definition,
    ( spl51_53
  <=> c2_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl51_53])],[avatar_definition]) ).

fof(f579,plain,
    ( c2_1(a1204)
    | ~ spl51_53 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( spl51_53
    | ~ spl51_19 ),
    inference(avatar_split_clause,[],[f91,f418,f577]) ).

fof(f582,definition,
    ( spl51_54
  <=> c0_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl51_54])],[avatar_definition]) ).

fof(f584,plain,
    ( c0_1(a1204)
    | ~ spl51_54 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( spl51_54
    | ~ spl51_19 ),
    inference(avatar_split_clause,[],[f92,f418,f582]) ).

fof(f588,definition,
    ( spl51_55
  <=> c2_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl51_55])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ c2_1(a1267)
    | spl51_55 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( ~ spl51_55
    | ~ spl51_15 ),
    inference(avatar_split_clause,[],[f94,f400,f588]) ).

fof(f593,definition,
    ( spl51_56
  <=> c1_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl51_56])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ c1_1(a1267)
    | spl51_56 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f596,plain,
    ( ~ spl51_56
    | ~ spl51_15 ),
    inference(avatar_split_clause,[],[f95,f400,f593]) ).

fof(f598,definition,
    ( spl51_57
  <=> c0_1(a1267) ),
    introduced(definition,[new_symbols(definition,[spl51_57])],[avatar_definition]) ).

fof(f600,plain,
    ( c0_1(a1267)
    | ~ spl51_57 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( spl51_57
    | ~ spl51_15 ),
    inference(avatar_split_clause,[],[f96,f400,f598]) ).

fof(f604,definition,
    ( spl51_58
  <=> c3_1(a1261) ),
    introduced(definition,[new_symbols(definition,[spl51_58])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ c3_1(a1261)
    | spl51_58 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,plain,
    ( ~ spl51_58
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f98,f337,f604]) ).

fof(f609,definition,
    ( spl51_59
  <=> c2_1(a1261) ),
    introduced(definition,[new_symbols(definition,[spl51_59])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c2_1(a1261)
    | spl51_59 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f612,plain,
    ( ~ spl51_59
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f99,f337,f609]) ).

fof(f614,definition,
    ( spl51_60
  <=> c0_1(a1261) ),
    introduced(definition,[new_symbols(definition,[spl51_60])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c0_1(a1261)
    | spl51_60 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f617,plain,
    ( ~ spl51_60
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f100,f337,f614]) ).

fof(f618,plain,
    ( spl51_26
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f101,f337,f451]) ).

fof(f620,definition,
    ( spl51_61
  <=> c3_1(a1259) ),
    introduced(definition,[new_symbols(definition,[spl51_61])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ c3_1(a1259)
    | spl51_61 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl51_61
    | ~ spl51_11 ),
    inference(avatar_split_clause,[],[f102,f381,f620]) ).

fof(f630,definition,
    ( spl51_63
  <=> c0_1(a1259) ),
    introduced(definition,[new_symbols(definition,[spl51_63])],[avatar_definition]) ).

fof(f632,plain,
    ( c0_1(a1259)
    | ~ spl51_63 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( spl51_63
    | ~ spl51_11 ),
    inference(avatar_split_clause,[],[f104,f381,f630]) ).

fof(f636,definition,
    ( spl51_64
  <=> c1_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl51_64])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ c1_1(a1257)
    | spl51_64 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( ~ spl51_64
    | ~ spl51_18 ),
    inference(avatar_split_clause,[],[f106,f414,f636]) ).

fof(f641,definition,
    ( spl51_65
  <=> c0_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl51_65])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ c0_1(a1257)
    | spl51_65 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f644,plain,
    ( ~ spl51_65
    | ~ spl51_18 ),
    inference(avatar_split_clause,[],[f107,f414,f641]) ).

fof(f646,definition,
    ( spl51_66
  <=> c3_1(a1257) ),
    introduced(definition,[new_symbols(definition,[spl51_66])],[avatar_definition]) ).

fof(f648,plain,
    ( c3_1(a1257)
    | ~ spl51_66 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f649,plain,
    ( spl51_66
    | ~ spl51_18 ),
    inference(avatar_split_clause,[],[f108,f414,f646]) ).

fof(f652,definition,
    ( spl51_67
  <=> c0_1(a1250) ),
    introduced(definition,[new_symbols(definition,[spl51_67])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c0_1(a1250)
    | spl51_67 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl51_67
    | ~ spl51_13 ),
    inference(avatar_split_clause,[],[f110,f391,f652]) ).

fof(f657,definition,
    ( spl51_68
  <=> c3_1(a1250) ),
    introduced(definition,[new_symbols(definition,[spl51_68])],[avatar_definition]) ).

fof(f659,plain,
    ( c3_1(a1250)
    | ~ spl51_68 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( spl51_68
    | ~ spl51_13 ),
    inference(avatar_split_clause,[],[f111,f391,f657]) ).

fof(f662,definition,
    ( spl51_69
  <=> c2_1(a1250) ),
    introduced(definition,[new_symbols(definition,[spl51_69])],[avatar_definition]) ).

fof(f664,plain,
    ( c2_1(a1250)
    | ~ spl51_69 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( spl51_69
    | ~ spl51_13 ),
    inference(avatar_split_clause,[],[f112,f391,f662]) ).

fof(f668,definition,
    ( spl51_70
  <=> c3_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl51_70])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c3_1(a1247)
    | spl51_70 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl51_70
    | ~ spl51_8 ),
    inference(avatar_split_clause,[],[f114,f368,f668]) ).

fof(f673,definition,
    ( spl51_71
  <=> c2_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl51_71])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c2_1(a1247)
    | spl51_71 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl51_71
    | ~ spl51_8 ),
    inference(avatar_split_clause,[],[f115,f368,f673]) ).

fof(f678,definition,
    ( spl51_72
  <=> c1_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl51_72])],[avatar_definition]) ).

fof(f680,plain,
    ( c1_1(a1247)
    | ~ spl51_72 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( spl51_72
    | ~ spl51_8 ),
    inference(avatar_split_clause,[],[f116,f368,f678]) ).

fof(f684,definition,
    ( spl51_73
  <=> c1_1(a1246) ),
    introduced(definition,[new_symbols(definition,[spl51_73])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ c1_1(a1246)
    | spl51_73 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,plain,
    ( ~ spl51_73
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f118,f345,f684]) ).

fof(f689,definition,
    ( spl51_74
  <=> c3_1(a1246) ),
    introduced(definition,[new_symbols(definition,[spl51_74])],[avatar_definition]) ).

fof(f691,plain,
    ( c3_1(a1246)
    | ~ spl51_74 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( spl51_74
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f119,f345,f689]) ).

fof(f694,definition,
    ( spl51_75
  <=> c2_1(a1246) ),
    introduced(definition,[new_symbols(definition,[spl51_75])],[avatar_definition]) ).

fof(f696,plain,
    ( c2_1(a1246)
    | ~ spl51_75 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( spl51_75
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f120,f345,f694]) ).

fof(f698,plain,
    ( spl51_26
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f121,f345,f451]) ).

fof(f700,definition,
    ( spl51_76
  <=> c1_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl51_76])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ c1_1(a1237)
    | spl51_76 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( ~ spl51_76
    | ~ spl51_17 ),
    inference(avatar_split_clause,[],[f122,f409,f700]) ).

fof(f705,definition,
    ( spl51_77
  <=> c3_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl51_77])],[avatar_definition]) ).

fof(f707,plain,
    ( c3_1(a1237)
    | ~ spl51_77 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,plain,
    ( spl51_77
    | ~ spl51_17 ),
    inference(avatar_split_clause,[],[f123,f409,f705]) ).

fof(f710,definition,
    ( spl51_78
  <=> c0_1(a1237) ),
    introduced(definition,[new_symbols(definition,[spl51_78])],[avatar_definition]) ).

fof(f713,plain,
    ( spl51_78
    | ~ spl51_17 ),
    inference(avatar_split_clause,[],[f124,f409,f710]) ).

fof(f716,definition,
    ( spl51_79
  <=> c3_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl51_79])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c3_1(a1236)
    | spl51_79 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( ~ spl51_79
    | ~ spl51_14 ),
    inference(avatar_split_clause,[],[f126,f395,f716]) ).

fof(f726,definition,
    ( spl51_81
  <=> c0_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl51_81])],[avatar_definition]) ).

fof(f728,plain,
    ( c0_1(a1236)
    | ~ spl51_81 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( spl51_81
    | ~ spl51_14 ),
    inference(avatar_split_clause,[],[f128,f395,f726]) ).

fof(f732,definition,
    ( spl51_82
  <=> c2_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl51_82])],[avatar_definition]) ).

fof(f734,plain,
    ( ~ c2_1(a1233)
    | spl51_82 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( ~ spl51_82
    | ~ spl51_22 ),
    inference(avatar_split_clause,[],[f130,f432,f732]) ).

fof(f737,definition,
    ( spl51_83
  <=> c1_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl51_83])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a1233)
    | ~ spl51_83 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl51_83
    | ~ spl51_22 ),
    inference(avatar_split_clause,[],[f131,f432,f737]) ).

fof(f742,definition,
    ( spl51_84
  <=> c0_1(a1233) ),
    introduced(definition,[new_symbols(definition,[spl51_84])],[avatar_definition]) ).

fof(f744,plain,
    ( c0_1(a1233)
    | ~ spl51_84 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( spl51_84
    | ~ spl51_22 ),
    inference(avatar_split_clause,[],[f132,f432,f742]) ).

fof(f748,definition,
    ( spl51_85
  <=> c2_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl51_85])],[avatar_definition]) ).

fof(f750,plain,
    ( ~ c2_1(a1232)
    | spl51_85 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( ~ spl51_85
    | ~ spl51_2 ),
    inference(avatar_split_clause,[],[f134,f341,f748]) ).

fof(f753,definition,
    ( spl51_86
  <=> c0_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl51_86])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ c0_1(a1232)
    | spl51_86 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( ~ spl51_86
    | ~ spl51_2 ),
    inference(avatar_split_clause,[],[f135,f341,f753]) ).

fof(f758,definition,
    ( spl51_87
  <=> c3_1(a1232) ),
    introduced(definition,[new_symbols(definition,[spl51_87])],[avatar_definition]) ).

fof(f760,plain,
    ( c3_1(a1232)
    | ~ spl51_87 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl51_87
    | ~ spl51_2 ),
    inference(avatar_split_clause,[],[f136,f341,f758]) ).

fof(f762,plain,
    ( spl51_26
    | ~ spl51_2 ),
    inference(avatar_split_clause,[],[f137,f341,f451]) ).

fof(f764,definition,
    ( spl51_88
  <=> c1_1(a1229) ),
    introduced(definition,[new_symbols(definition,[spl51_88])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ spl51_88
    | ~ spl51_30 ),
    inference(avatar_split_clause,[],[f138,f467,f764]) ).

fof(f774,definition,
    ( spl51_90
  <=> c0_1(a1229) ),
    introduced(definition,[new_symbols(definition,[spl51_90])],[avatar_definition]) ).

fof(f776,plain,
    ( c0_1(a1229)
    | ~ spl51_90 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( spl51_90
    | ~ spl51_30 ),
    inference(avatar_split_clause,[],[f140,f467,f774]) ).

fof(f779,definition,
    ( spl51_91
  <=> c2_1(a1228) ),
    introduced(definition,[new_symbols(definition,[spl51_91])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c2_1(a1228)
    | spl51_91 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( ~ spl51_91
    | ~ spl51_16 ),
    inference(avatar_split_clause,[],[f142,f405,f779]) ).

fof(f789,definition,
    ( spl51_93
  <=> c0_1(a1228) ),
    introduced(definition,[new_symbols(definition,[spl51_93])],[avatar_definition]) ).

fof(f791,plain,
    ( c0_1(a1228)
    | ~ spl51_93 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f792,plain,
    ( spl51_93
    | ~ spl51_16 ),
    inference(avatar_split_clause,[],[f144,f405,f789]) ).

fof(f795,definition,
    ( spl51_94
  <=> c2_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl51_94])],[avatar_definition]) ).

fof(f797,plain,
    ( ~ c2_1(a1224)
    | spl51_94 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( ~ spl51_94
    | ~ spl51_32 ),
    inference(avatar_split_clause,[],[f146,f476,f795]) ).

fof(f800,definition,
    ( spl51_95
  <=> c3_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl51_95])],[avatar_definition]) ).

fof(f802,plain,
    ( c3_1(a1224)
    | ~ spl51_95 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( spl51_95
    | ~ spl51_32 ),
    inference(avatar_split_clause,[],[f147,f476,f800]) ).

fof(f805,definition,
    ( spl51_96
  <=> c1_1(a1224) ),
    introduced(definition,[new_symbols(definition,[spl51_96])],[avatar_definition]) ).

fof(f807,plain,
    ( c1_1(a1224)
    | ~ spl51_96 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f808,plain,
    ( spl51_96
    | ~ spl51_32 ),
    inference(avatar_split_clause,[],[f148,f476,f805]) ).

fof(f810,definition,
    ( spl51_97
  <=> c3_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl51_97])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ c3_1(a1223)
    | spl51_97 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl51_97
    | ~ spl51_5 ),
    inference(avatar_split_clause,[],[f150,f354,f810]) ).

fof(f815,definition,
    ( spl51_98
  <=> c1_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl51_98])],[avatar_definition]) ).

fof(f817,plain,
    ( ~ c1_1(a1223)
    | spl51_98 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( ~ spl51_98
    | ~ spl51_5 ),
    inference(avatar_split_clause,[],[f151,f354,f815]) ).

fof(f820,definition,
    ( spl51_99
  <=> c2_1(a1223) ),
    introduced(definition,[new_symbols(definition,[spl51_99])],[avatar_definition]) ).

fof(f822,plain,
    ( c2_1(a1223)
    | ~ spl51_99 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( spl51_99
    | ~ spl51_5 ),
    inference(avatar_split_clause,[],[f152,f354,f820]) ).

fof(f826,definition,
    ( spl51_100
  <=> c0_1(a1219) ),
    introduced(definition,[new_symbols(definition,[spl51_100])],[avatar_definition]) ).

fof(f828,plain,
    ( ~ c0_1(a1219)
    | spl51_100 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f830,definition,
    ( spl51_101
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl51_101])],[avatar_definition]) ).

fof(f833,plain,
    ( ~ spl51_100
    | ~ spl51_101 ),
    inference(avatar_split_clause,[],[f154,f830,f826]) ).

fof(f835,definition,
    ( spl51_102
  <=> c2_1(a1219) ),
    introduced(definition,[new_symbols(definition,[spl51_102])],[avatar_definition]) ).

fof(f837,plain,
    ( c2_1(a1219)
    | ~ spl51_102 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f838,plain,
    ( spl51_102
    | ~ spl51_101 ),
    inference(avatar_split_clause,[],[f155,f830,f835]) ).

fof(f840,definition,
    ( spl51_103
  <=> c1_1(a1219) ),
    introduced(definition,[new_symbols(definition,[spl51_103])],[avatar_definition]) ).

fof(f842,plain,
    ( c1_1(a1219)
    | ~ spl51_103 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( spl51_103
    | ~ spl51_101 ),
    inference(avatar_split_clause,[],[f156,f830,f840]) ).

fof(f845,definition,
    ( spl51_104
  <=> c3_1(a1217) ),
    introduced(definition,[new_symbols(definition,[spl51_104])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ c3_1(a1217)
    | spl51_104 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( ~ spl51_104
    | ~ spl51_12 ),
    inference(avatar_split_clause,[],[f158,f386,f845]) ).

fof(f850,definition,
    ( spl51_105
  <=> c1_1(a1217) ),
    introduced(definition,[new_symbols(definition,[spl51_105])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c1_1(a1217)
    | spl51_105 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl51_105
    | ~ spl51_12 ),
    inference(avatar_split_clause,[],[f159,f386,f850]) ).

fof(f855,definition,
    ( spl51_106
  <=> c0_1(a1217) ),
    introduced(definition,[new_symbols(definition,[spl51_106])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ c0_1(a1217)
    | spl51_106 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( ~ spl51_106
    | ~ spl51_12 ),
    inference(avatar_split_clause,[],[f160,f386,f855]) ).

fof(f861,definition,
    ( spl51_107
  <=> c3_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl51_107])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ c3_1(a1216)
    | spl51_107 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( ~ spl51_107
    | ~ spl51_6 ),
    inference(avatar_split_clause,[],[f162,f359,f861]) ).

fof(f866,definition,
    ( spl51_108
  <=> c2_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl51_108])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ c2_1(a1216)
    | spl51_108 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( ~ spl51_108
    | ~ spl51_6 ),
    inference(avatar_split_clause,[],[f163,f359,f866]) ).

fof(f871,definition,
    ( spl51_109
  <=> c1_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl51_109])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ c1_1(a1216)
    | spl51_109 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( ~ spl51_109
    | ~ spl51_6 ),
    inference(avatar_split_clause,[],[f164,f359,f871]) ).

fof(f877,definition,
    ( spl51_110
  <=> c3_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl51_110])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c3_1(a1215)
    | spl51_110 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f880,plain,
    ( ~ spl51_110
    | ~ spl51_10 ),
    inference(avatar_split_clause,[],[f166,f377,f877]) ).

fof(f882,definition,
    ( spl51_111
  <=> c2_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl51_111])],[avatar_definition]) ).

fof(f884,plain,
    ( c2_1(a1215)
    | ~ spl51_111 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( spl51_111
    | ~ spl51_10 ),
    inference(avatar_split_clause,[],[f167,f377,f882]) ).

fof(f887,definition,
    ( spl51_112
  <=> c1_1(a1215) ),
    introduced(definition,[new_symbols(definition,[spl51_112])],[avatar_definition]) ).

fof(f889,plain,
    ( c1_1(a1215)
    | ~ spl51_112 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl51_112
    | ~ spl51_10 ),
    inference(avatar_split_clause,[],[f168,f377,f887]) ).

fof(f893,definition,
    ( spl51_113
  <=> c3_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl51_113])],[avatar_definition]) ).

fof(f895,plain,
    ( ~ c3_1(a1212)
    | spl51_113 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f896,plain,
    ( ~ spl51_113
    | ~ spl51_21 ),
    inference(avatar_split_clause,[],[f170,f428,f893]) ).

fof(f898,definition,
    ( spl51_114
  <=> c0_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl51_114])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ c0_1(a1212)
    | spl51_114 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f901,plain,
    ( ~ spl51_114
    | ~ spl51_21 ),
    inference(avatar_split_clause,[],[f171,f428,f898]) ).

fof(f903,definition,
    ( spl51_115
  <=> c2_1(a1212) ),
    introduced(definition,[new_symbols(definition,[spl51_115])],[avatar_definition]) ).

fof(f905,plain,
    ( c2_1(a1212)
    | ~ spl51_115 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( spl51_115
    | ~ spl51_21 ),
    inference(avatar_split_clause,[],[f172,f428,f903]) ).

fof(f909,definition,
    ( spl51_116
  <=> c2_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl51_116])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c2_1(a1211)
    | spl51_116 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f912,plain,
    ( ~ spl51_116
    | ~ spl51_7 ),
    inference(avatar_split_clause,[],[f174,f363,f909]) ).

fof(f919,definition,
    ( spl51_118
  <=> c1_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl51_118])],[avatar_definition]) ).

fof(f921,plain,
    ( c1_1(a1211)
    | ~ spl51_118 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( spl51_118
    | ~ spl51_7 ),
    inference(avatar_split_clause,[],[f176,f363,f919]) ).

fof(f925,definition,
    ( spl51_119
  <=> c3_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl51_119])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ c3_1(a1210)
    | spl51_119 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( ~ spl51_119
    | ~ spl51_20 ),
    inference(avatar_split_clause,[],[f178,f423,f925]) ).

fof(f930,definition,
    ( spl51_120
  <=> c1_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl51_120])],[avatar_definition]) ).

fof(f932,plain,
    ( c1_1(a1210)
    | ~ spl51_120 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( spl51_120
    | ~ spl51_20 ),
    inference(avatar_split_clause,[],[f179,f423,f930]) ).

fof(f935,definition,
    ( spl51_121
  <=> c0_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl51_121])],[avatar_definition]) ).

fof(f937,plain,
    ( c0_1(a1210)
    | ~ spl51_121 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( spl51_121
    | ~ spl51_20 ),
    inference(avatar_split_clause,[],[f180,f423,f935]) ).

fof(f941,definition,
    ( spl51_122
  <=> c2_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl51_122])],[avatar_definition]) ).

fof(f943,plain,
    ( ~ c2_1(a1207)
    | spl51_122 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( ~ spl51_122
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f182,f350,f941]) ).

fof(f946,definition,
    ( spl51_123
  <=> c1_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl51_123])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c1_1(a1207)
    | spl51_123 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl51_123
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f183,f350,f946]) ).

fof(f951,definition,
    ( spl51_124
  <=> c0_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl51_124])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ c0_1(a1207)
    | spl51_124 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( ~ spl51_124
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f184,f350,f951]) ).

fof(f957,definition,
    ( spl51_125
  <=> c3_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl51_125])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ c3_1(a1206)
    | spl51_125 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f960,plain,
    ( ~ spl51_125
    | ~ spl51_23 ),
    inference(avatar_split_clause,[],[f186,f437,f957]) ).

fof(f962,definition,
    ( spl51_126
  <=> c2_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl51_126])],[avatar_definition]) ).

fof(f964,plain,
    ( c2_1(a1206)
    | ~ spl51_126 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f965,plain,
    ( spl51_126
    | ~ spl51_23 ),
    inference(avatar_split_clause,[],[f187,f437,f962]) ).

fof(f967,definition,
    ( spl51_127
  <=> c0_1(a1206) ),
    introduced(definition,[new_symbols(definition,[spl51_127])],[avatar_definition]) ).

fof(f969,plain,
    ( c0_1(a1206)
    | ~ spl51_127 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f970,plain,
    ( spl51_127
    | ~ spl51_23 ),
    inference(avatar_split_clause,[],[f188,f437,f967]) ).

fof(f973,definition,
    ( spl51_128
  <=> c1_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl51_128])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c1_1(a1205)
    | spl51_128 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f976,plain,
    ( ~ spl51_128
    | ~ spl51_28 ),
    inference(avatar_split_clause,[],[f190,f459,f973]) ).

fof(f978,definition,
    ( spl51_129
  <=> c0_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl51_129])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ c0_1(a1205)
    | spl51_129 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( ~ spl51_129
    | ~ spl51_28 ),
    inference(avatar_split_clause,[],[f191,f459,f978]) ).

fof(f983,definition,
    ( spl51_130
  <=> c2_1(a1205) ),
    introduced(definition,[new_symbols(definition,[spl51_130])],[avatar_definition]) ).

fof(f985,plain,
    ( c2_1(a1205)
    | ~ spl51_130 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f986,plain,
    ( spl51_130
    | ~ spl51_28 ),
    inference(avatar_split_clause,[],[f192,f459,f983]) ).

fof(f988,definition,
    ( spl51_131
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl51_131])],[avatar_definition]) ).

fof(f991,plain,
    ( spl51_131
    | spl51_40 ),
    inference(avatar_split_clause,[],[f194,f510,f988]) ).

fof(f993,definition,
    ( spl51_132
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl51_132])],[avatar_definition]) ).

fof(f996,plain,
    ( spl51_132
    | spl51_42 ),
    inference(avatar_split_clause,[],[f196,f519,f993]) ).

fof(f998,definition,
    ( spl51_133
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl51_133])],[avatar_definition]) ).

fof(f999,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl51_133 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1000,plain,
    ( ~ spl51_132
    | ~ spl51_131
    | spl51_133
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f296,f451,f998,f988,f993]) ).

fof(f1002,definition,
    ( spl51_134
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl51_134])],[avatar_definition]) ).

fof(f1005,plain,
    ( spl51_134
    | spl51_42 ),
    inference(avatar_split_clause,[],[f198,f519,f1002]) ).

fof(f1007,definition,
    ( spl51_135
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl51_135])],[avatar_definition]) ).

fof(f1010,plain,
    ( spl51_135
    | spl51_39 ),
    inference(avatar_split_clause,[],[f200,f506,f1007]) ).

fof(f1012,definition,
    ( spl51_136
  <=> ! [X5] :
        ( c1_1(X5)
        | ~ c0_1(X5)
        | c2_1(X5) ) ),
    introduced(definition,[new_symbols(definition,[spl51_136])],[avatar_definition]) ).

fof(f1013,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c1_1(X5)
        | c2_1(X5) )
    | ~ spl51_136 ),
    inference(avatar_component_clause,[],[f1012]) ).

fof(f1014,plain,
    ( ~ spl51_135
    | ~ spl51_134
    | spl51_136
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f297,f451,f1012,f1002,f1007]) ).

fof(f1016,definition,
    ( spl51_137
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl51_137])],[avatar_definition]) ).

fof(f1020,definition,
    ( spl51_138
  <=> ! [X8] :
        ( c1_1(X8)
        | ~ c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl51_138])],[avatar_definition]) ).

fof(f1021,plain,
    ( ! [X8] :
        ( c1_1(X8)
        | ~ c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl51_138 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1022,plain,
    ( spl51_137
    | spl51_138 ),
    inference(avatar_split_clause,[],[f202,f1020,f1016]) ).

fof(f1024,definition,
    ( spl51_139
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl51_139])],[avatar_definition]) ).

fof(f1027,plain,
    ( spl51_139
    | spl51_42 ),
    inference(avatar_split_clause,[],[f204,f519,f1024]) ).

fof(f1029,definition,
    ( spl51_140
  <=> ! [X7] :
        ( c0_1(X7)
        | ~ c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl51_140])],[avatar_definition]) ).

fof(f1030,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | ~ c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl51_140 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1031,plain,
    ( ~ spl51_139
    | ~ spl51_137
    | spl51_140
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f298,f451,f1029,f1016,f1024]) ).

fof(f1033,definition,
    ( spl51_141
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl51_141])],[avatar_definition]) ).

fof(f1037,definition,
    ( spl51_142
  <=> ! [X11] :
        ( c0_1(X11)
        | c3_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl51_142])],[avatar_definition]) ).

fof(f1038,plain,
    ( ! [X11] :
        ( c3_1(X11)
        | c0_1(X11)
        | c1_1(X11) )
    | ~ spl51_142 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1039,plain,
    ( spl51_141
    | spl51_142 ),
    inference(avatar_split_clause,[],[f206,f1037,f1033]) ).

fof(f1040,plain,
    ( ~ spl51_141
    | spl51_24
    | spl51_37
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f299,f451,f497,f441,f1033]) ).

fof(f1042,definition,
    ( spl51_143
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl51_143])],[avatar_definition]) ).

fof(f1045,plain,
    ( spl51_143
    | spl51_41 ),
    inference(avatar_split_clause,[],[f208,f514,f1042]) ).

fof(f1047,definition,
    ( spl51_144
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl51_144])],[avatar_definition]) ).

fof(f1051,definition,
    ( spl51_145
  <=> ! [X15] :
        ( c2_1(X15)
        | ~ c3_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl51_145])],[avatar_definition]) ).

fof(f1052,plain,
    ( ! [X15] :
        ( c2_1(X15)
        | ~ c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl51_145 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1053,plain,
    ( spl51_144
    | spl51_145 ),
    inference(avatar_split_clause,[],[f210,f1051,f1047]) ).

fof(f1055,definition,
    ( spl51_146
  <=> ! [X13] :
        ( c0_1(X13)
        | ~ c2_1(X13)
        | c1_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl51_146])],[avatar_definition]) ).

fof(f1056,plain,
    ( ! [X13] :
        ( c0_1(X13)
        | ~ c2_1(X13)
        | c1_1(X13) )
    | ~ spl51_146 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1057,plain,
    ( ~ spl51_144
    | ~ spl51_143
    | ~ spl51_26
    | spl51_146 ),
    inference(avatar_split_clause,[],[f300,f1055,f451,f1042,f1047]) ).

fof(f1065,definition,
    ( spl51_148
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl51_148])],[avatar_definition]) ).

fof(f1069,definition,
    ( spl51_149
  <=> ! [X18] :
        ( c0_1(X18)
        | ~ c3_1(X18)
        | c1_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl51_149])],[avatar_definition]) ).

fof(f1070,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | c0_1(X18)
        | c1_1(X18) )
    | ~ spl51_149 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1071,plain,
    ( spl51_148
    | spl51_149 ),
    inference(avatar_split_clause,[],[f214,f1069,f1065]) ).

fof(f1073,definition,
    ( spl51_150
  <=> ! [X19] :
        ( c0_1(X19)
        | ~ c3_1(X19)
        | ~ c2_1(X19) ) ),
    introduced(definition,[new_symbols(definition,[spl51_150])],[avatar_definition]) ).

fof(f1074,plain,
    ( ! [X19] :
        ( ~ c3_1(X19)
        | c0_1(X19)
        | ~ c2_1(X19) )
    | ~ spl51_150 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1075,plain,
    ( ~ spl51_148
    | spl51_20
    | spl51_150
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f302,f451,f1073,f423,f1065]) ).

fof(f1077,definition,
    ( spl51_151
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl51_151])],[avatar_definition]) ).

fof(f1081,definition,
    ( spl51_152
  <=> ! [X21] :
        ( c2_1(X21)
        | ~ c0_1(X21)
        | c3_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl51_152])],[avatar_definition]) ).

fof(f1082,plain,
    ( ! [X21] :
        ( c2_1(X21)
        | ~ c0_1(X21)
        | c3_1(X21) )
    | ~ spl51_152 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1083,plain,
    ( spl51_151
    | spl51_152 ),
    inference(avatar_split_clause,[],[f216,f1081,f1077]) ).

fof(f1085,definition,
    ( spl51_153
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl51_153])],[avatar_definition]) ).

fof(f1089,definition,
    ( spl51_154
  <=> ! [X22] :
        ( ~ c0_1(X22)
        | ~ c3_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl51_154])],[avatar_definition]) ).

fof(f1090,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl51_154 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1091,plain,
    ( spl51_153
    | spl51_154 ),
    inference(avatar_split_clause,[],[f218,f1089,f1085]) ).

fof(f1092,plain,
    ( ~ spl51_153
    | ~ spl51_151
    | ~ spl51_26
    | spl51_149 ),
    inference(avatar_split_clause,[],[f303,f1069,f451,f1077,f1085]) ).

fof(f1100,definition,
    ( spl51_156
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl51_156])],[avatar_definition]) ).

fof(f1104,definition,
    ( spl51_157
  <=> ! [X26] :
        ( c3_1(X26)
        | ~ c2_1(X26)
        | ~ c0_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl51_157])],[avatar_definition]) ).

fof(f1105,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | ~ c2_1(X26)
        | ~ c0_1(X26) )
    | ~ spl51_157 ),
    inference(avatar_component_clause,[],[f1104]) ).

fof(f1106,plain,
    ( spl51_156
    | spl51_157 ),
    inference(avatar_split_clause,[],[f222,f1104,f1100]) ).

fof(f1108,definition,
    ( spl51_158
  <=> sP15 ),
    introduced(definition,[new_symbols(definition,[spl51_158])],[avatar_definition]) ).

fof(f1111,plain,
    ( spl51_158
    | spl51_27 ),
    inference(avatar_split_clause,[],[f224,f455,f1108]) ).

fof(f1112,plain,
    ( ~ spl51_158
    | ~ spl51_156
    | ~ spl51_26
    | spl51_149 ),
    inference(avatar_split_clause,[],[f305,f1069,f451,f1100,f1108]) ).

fof(f1114,definition,
    ( spl51_159
  <=> sP16 ),
    introduced(definition,[new_symbols(definition,[spl51_159])],[avatar_definition]) ).

fof(f1117,plain,
    ( spl51_159
    | spl51_149 ),
    inference(avatar_split_clause,[],[f226,f1069,f1114]) ).

fof(f1118,plain,
    ( ~ spl51_159
    | spl51_21
    | spl51_27
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f306,f451,f455,f428,f1114]) ).

fof(f1120,definition,
    ( spl51_160
  <=> sP17 ),
    introduced(definition,[new_symbols(definition,[spl51_160])],[avatar_definition]) ).

fof(f1123,plain,
    ( spl51_160
    | spl51_33 ),
    inference(avatar_split_clause,[],[f228,f480,f1120]) ).

fof(f1124,plain,
    ( ~ spl51_160
    | spl51_9
    | ~ spl51_26
    | spl51_41 ),
    inference(avatar_split_clause,[],[f307,f514,f451,f372,f1120]) ).

fof(f1126,definition,
    ( spl51_161
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl51_161])],[avatar_definition]) ).

fof(f1129,plain,
    ( spl51_161
    | spl51_27 ),
    inference(avatar_split_clause,[],[f230,f455,f1126]) ).

fof(f1131,definition,
    ( spl51_162
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl51_162])],[avatar_definition]) ).

fof(f1134,plain,
    ( spl51_162
    | spl51_41 ),
    inference(avatar_split_clause,[],[f232,f514,f1131]) ).

fof(f1135,plain,
    ( ~ spl51_162
    | ~ spl51_161
    | spl51_31
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f308,f451,f472,f1126,f1131]) ).

fof(f1137,definition,
    ( spl51_163
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl51_163])],[avatar_definition]) ).

fof(f1140,plain,
    ( spl51_163
    | spl51_40 ),
    inference(avatar_split_clause,[],[f234,f510,f1137]) ).

fof(f1142,definition,
    ( spl51_164
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl51_164])],[avatar_definition]) ).

fof(f1143,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c0_1(X37)
        | c2_1(X37) )
    | ~ spl51_164 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1144,plain,
    ( ~ spl51_163
    | spl51_12
    | ~ spl51_26
    | spl51_164 ),
    inference(avatar_split_clause,[],[f309,f1142,f451,f386,f1137]) ).

fof(f1146,definition,
    ( spl51_165
  <=> sP21 ),
    introduced(definition,[new_symbols(definition,[spl51_165])],[avatar_definition]) ).

fof(f1149,plain,
    ( spl51_165
    | spl51_36 ),
    inference(avatar_split_clause,[],[f236,f493,f1146]) ).

fof(f1150,plain,
    ( ~ spl51_165
    | spl51_19
    | ~ spl51_26
    | spl51_164 ),
    inference(avatar_split_clause,[],[f310,f1142,f451,f418,f1146]) ).

fof(f1152,definition,
    ( spl51_166
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl51_166])],[avatar_definition]) ).

fof(f1155,plain,
    ( spl51_166
    | spl51_133 ),
    inference(avatar_split_clause,[],[f238,f998,f1152]) ).

fof(f1157,definition,
    ( spl51_167
  <=> sP23 ),
    introduced(definition,[new_symbols(definition,[spl51_167])],[avatar_definition]) ).

fof(f1161,definition,
    ( spl51_168
  <=> ! [X42] :
        ( c2_1(X42)
        | ~ c3_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl51_168])],[avatar_definition]) ).

fof(f1162,plain,
    ( ! [X42] :
        ( c2_1(X42)
        | ~ c3_1(X42)
        | ~ c1_1(X42) )
    | ~ spl51_168 ),
    inference(avatar_component_clause,[],[f1161]) ).

fof(f1163,plain,
    ( spl51_167
    | spl51_168 ),
    inference(avatar_split_clause,[],[f240,f1161,f1157]) ).

fof(f1164,plain,
    ( ~ spl51_167
    | ~ spl51_166
    | spl51_29
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f311,f451,f463,f1152,f1157]) ).

fof(f1166,definition,
    ( spl51_169
  <=> sP24 ),
    introduced(definition,[new_symbols(definition,[spl51_169])],[avatar_definition]) ).

fof(f1169,plain,
    ( spl51_169
    | spl51_152 ),
    inference(avatar_split_clause,[],[f242,f1081,f1166]) ).

fof(f1171,definition,
    ( spl51_170
  <=> sP25 ),
    introduced(definition,[new_symbols(definition,[spl51_170])],[avatar_definition]) ).

fof(f1174,plain,
    ( spl51_170
    | spl51_40 ),
    inference(avatar_split_clause,[],[f244,f510,f1171]) ).

fof(f1175,plain,
    ( ~ spl51_170
    | ~ spl51_169
    | spl51_36
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f312,f451,f493,f1166,f1171]) ).

fof(f1177,definition,
    ( spl51_171
  <=> sP26 ),
    introduced(definition,[new_symbols(definition,[spl51_171])],[avatar_definition]) ).

fof(f1180,plain,
    ( spl51_171
    | spl51_154 ),
    inference(avatar_split_clause,[],[f246,f1089,f1177]) ).

fof(f1181,plain,
    ( ~ spl51_171
    | spl51_101
    | ~ spl51_26
    | spl51_40 ),
    inference(avatar_split_clause,[],[f313,f510,f451,f830,f1177]) ).

fof(f1183,definition,
    ( spl51_172
  <=> sP27 ),
    introduced(definition,[new_symbols(definition,[spl51_172])],[avatar_definition]) ).

fof(f1187,definition,
    ( spl51_173
  <=> ! [X50] :
        ( ~ c1_1(X50)
        | ~ c3_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl51_173])],[avatar_definition]) ).

fof(f1188,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c3_1(X50)
        | ~ c2_1(X50) )
    | ~ spl51_173 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1189,plain,
    ( spl51_172
    | spl51_173 ),
    inference(avatar_split_clause,[],[f248,f1187,f1183]) ).

fof(f1190,plain,
    ( ~ spl51_172
    | ~ spl51_26
    | spl51_40 ),
    inference(avatar_split_clause,[],[f314,f510,f451,f1183]) ).

fof(f1192,definition,
    ( spl51_174
  <=> sP28 ),
    introduced(definition,[new_symbols(definition,[spl51_174])],[avatar_definition]) ).

fof(f1195,plain,
    ( spl51_174
    | spl51_39 ),
    inference(avatar_split_clause,[],[f250,f506,f1192]) ).

fof(f1196,plain,
    ( ~ spl51_174
    | spl51_28
    | spl51_36
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f315,f451,f493,f459,f1192]) ).

fof(f1198,definition,
    ( spl51_175
  <=> sP29 ),
    introduced(definition,[new_symbols(definition,[spl51_175])],[avatar_definition]) ).

fof(f1201,plain,
    ( spl51_175
    | spl51_39 ),
    inference(avatar_split_clause,[],[f252,f506,f1198]) ).

fof(f1202,plain,
    ( ~ spl51_175
    | spl51_5
    | spl51_157
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f316,f451,f1104,f354,f1198]) ).

fof(f1204,definition,
    ( spl51_176
  <=> sP30 ),
    introduced(definition,[new_symbols(definition,[spl51_176])],[avatar_definition]) ).

fof(f1207,plain,
    ( spl51_176
    | spl51_173 ),
    inference(avatar_split_clause,[],[f254,f1187,f1204]) ).

fof(f1209,definition,
    ( spl51_177
  <=> sP31 ),
    introduced(definition,[new_symbols(definition,[spl51_177])],[avatar_definition]) ).

fof(f1212,plain,
    ( spl51_177
    | spl51_39 ),
    inference(avatar_split_clause,[],[f256,f506,f1209]) ).

fof(f1213,plain,
    ( ~ spl51_177
    | ~ spl51_176
    | spl51_27
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f317,f451,f455,f1204,f1209]) ).

fof(f1215,definition,
    ( spl51_178
  <=> sP32 ),
    introduced(definition,[new_symbols(definition,[spl51_178])],[avatar_definition]) ).

fof(f1218,plain,
    ( spl51_178
    | spl51_140 ),
    inference(avatar_split_clause,[],[f258,f1029,f1215]) ).

fof(f1219,plain,
    ( ~ spl51_178
    | spl51_23
    | spl51_33
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f318,f451,f480,f437,f1215]) ).

fof(f1221,definition,
    ( spl51_179
  <=> sP33 ),
    introduced(definition,[new_symbols(definition,[spl51_179])],[avatar_definition]) ).

fof(f1225,definition,
    ( spl51_180
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl51_180])],[avatar_definition]) ).

fof(f1226,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) )
    | ~ spl51_180 ),
    inference(avatar_component_clause,[],[f1225]) ).

fof(f1227,plain,
    ( spl51_179
    | spl51_180 ),
    inference(avatar_split_clause,[],[f260,f1225,f1221]) ).

fof(f1228,plain,
    ( ~ spl51_179
    | spl51_20
    | spl51_150
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f319,f451,f1073,f423,f1221]) ).

fof(f1230,definition,
    ( spl51_181
  <=> sP34 ),
    introduced(definition,[new_symbols(definition,[spl51_181])],[avatar_definition]) ).

fof(f1233,plain,
    ( spl51_181
    | spl51_31 ),
    inference(avatar_split_clause,[],[f262,f472,f1230]) ).

fof(f1234,plain,
    ( ~ spl51_181
    | spl51_32
    | ~ spl51_26
    | spl51_180 ),
    inference(avatar_split_clause,[],[f320,f1225,f451,f476,f1230]) ).

fof(f1236,definition,
    ( spl51_182
  <=> sP35 ),
    introduced(definition,[new_symbols(definition,[spl51_182])],[avatar_definition]) ).

fof(f1239,plain,
    ( spl51_182
    | spl51_38 ),
    inference(avatar_split_clause,[],[f264,f502,f1236]) ).

fof(f1240,plain,
    ( ~ spl51_182
    | spl51_16
    | spl51_145
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f321,f451,f1051,f405,f1236]) ).

fof(f1242,definition,
    ( spl51_183
  <=> sP36 ),
    introduced(definition,[new_symbols(definition,[spl51_183])],[avatar_definition]) ).

fof(f1245,plain,
    ( spl51_183
    | spl51_152 ),
    inference(avatar_split_clause,[],[f266,f1081,f1242]) ).

fof(f1246,plain,
    ( ~ spl51_183
    | spl51_5
    | ~ spl51_26
    | spl51_136 ),
    inference(avatar_split_clause,[],[f322,f1012,f451,f354,f1242]) ).

fof(f1248,definition,
    ( spl51_184
  <=> sP37 ),
    introduced(definition,[new_symbols(definition,[spl51_184])],[avatar_definition]) ).

fof(f1251,plain,
    ( spl51_184
    | spl51_34 ),
    inference(avatar_split_clause,[],[f268,f484,f1248]) ).

fof(f1253,definition,
    ( spl51_185
  <=> sP38 ),
    introduced(definition,[new_symbols(definition,[spl51_185])],[avatar_definition]) ).

fof(f1257,definition,
    ( spl51_186
  <=> ! [X73] :
        ( c3_1(X73)
        | ~ c1_1(X73)
        | ~ c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl51_186])],[avatar_definition]) ).

fof(f1258,plain,
    ( ! [X73] :
        ( c3_1(X73)
        | ~ c1_1(X73)
        | ~ c0_1(X73) )
    | ~ spl51_186 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1259,plain,
    ( spl51_185
    | spl51_186 ),
    inference(avatar_split_clause,[],[f270,f1257,f1253]) ).

fof(f1260,plain,
    ( ~ spl51_185
    | ~ spl51_184
    | ~ spl51_26
    | spl51_136 ),
    inference(avatar_split_clause,[],[f323,f1012,f451,f1248,f1253]) ).

fof(f1262,definition,
    ( spl51_187
  <=> sP39 ),
    introduced(definition,[new_symbols(definition,[spl51_187])],[avatar_definition]) ).

fof(f1265,plain,
    ( spl51_187
    | spl51_136 ),
    inference(avatar_split_clause,[],[f272,f1012,f1262]) ).

fof(f1266,plain,
    ( ~ spl51_187
    | spl51_2
    | spl51_157
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f324,f451,f1104,f341,f1262]) ).

fof(f1268,definition,
    ( spl51_188
  <=> sP40 ),
    introduced(definition,[new_symbols(definition,[spl51_188])],[avatar_definition]) ).

fof(f1271,plain,
    ( spl51_188
    | spl51_138 ),
    inference(avatar_split_clause,[],[f274,f1020,f1268]) ).

fof(f1272,plain,
    ( ~ spl51_188
    | spl51_101
    | ~ spl51_26
    | spl51_35 ),
    inference(avatar_split_clause,[],[f325,f488,f451,f830,f1268]) ).

fof(f1274,definition,
    ( spl51_189
  <=> sP41 ),
    introduced(definition,[new_symbols(definition,[spl51_189])],[avatar_definition]) ).

fof(f1277,plain,
    ( spl51_189
    | spl51_168 ),
    inference(avatar_split_clause,[],[f276,f1161,f1274]) ).

fof(f1278,plain,
    ( ~ spl51_189
    | spl51_2
    | ~ spl51_26
    | spl51_35 ),
    inference(avatar_split_clause,[],[f326,f488,f451,f341,f1274]) ).

fof(f1280,definition,
    ( spl51_190
  <=> sP42 ),
    introduced(definition,[new_symbols(definition,[spl51_190])],[avatar_definition]) ).

fof(f1283,plain,
    ( spl51_190
    | spl51_145 ),
    inference(avatar_split_clause,[],[f278,f1051,f1280]) ).

fof(f1285,definition,
    ( spl51_191
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl51_191])],[avatar_definition]) ).

fof(f1286,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) )
    | ~ spl51_191 ),
    inference(avatar_component_clause,[],[f1285]) ).

fof(f1287,plain,
    ( ~ spl51_190
    | spl51_10
    | ~ spl51_26
    | spl51_191 ),
    inference(avatar_split_clause,[],[f327,f1285,f451,f377,f1280]) ).

fof(f1294,definition,
    ( spl51_193
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl51_193])],[avatar_definition]) ).

fof(f1295,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) )
    | ~ spl51_193 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f1298,definition,
    ( spl51_194
  <=> sP44 ),
    introduced(definition,[new_symbols(definition,[spl51_194])],[avatar_definition]) ).

fof(f1301,plain,
    ( spl51_194
    | spl51_33 ),
    inference(avatar_split_clause,[],[f282,f480,f1298]) ).

fof(f1302,plain,
    ( ~ spl51_194
    | spl51_8
    | ~ spl51_26
    | spl51_193 ),
    inference(avatar_split_clause,[],[f329,f1294,f451,f368,f1298]) ).

fof(f1304,definition,
    ( spl51_195
  <=> sP45 ),
    introduced(definition,[new_symbols(definition,[spl51_195])],[avatar_definition]) ).

fof(f1307,plain,
    ( spl51_195
    | spl51_152 ),
    inference(avatar_split_clause,[],[f284,f1081,f1304]) ).

fof(f1308,plain,
    ( ~ spl51_195
    | spl51_29
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f330,f451,f463,f1304]) ).

fof(f1322,definition,
    ( spl51_198
  <=> sP48 ),
    introduced(definition,[new_symbols(definition,[spl51_198])],[avatar_definition]) ).

fof(f1325,plain,
    ( spl51_198
    | spl51_33 ),
    inference(avatar_split_clause,[],[f290,f480,f1322]) ).

fof(f1326,plain,
    ( ~ spl51_198
    | spl51_5
    | spl51_154
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f333,f451,f1089,f354,f1322]) ).

fof(f1328,definition,
    ( spl51_199
  <=> sP49 ),
    introduced(definition,[new_symbols(definition,[spl51_199])],[avatar_definition]) ).

fof(f1331,plain,
    ( spl51_199
    | spl51_145 ),
    inference(avatar_split_clause,[],[f292,f1051,f1328]) ).

fof(f1332,plain,
    ( ~ spl51_199
    | spl51_20
    | spl51_173
    | ~ spl51_26 ),
    inference(avatar_split_clause,[],[f334,f451,f1187,f423,f1328]) ).

fof(f1334,definition,
    ( spl51_200
  <=> sP50 ),
    introduced(definition,[new_symbols(definition,[spl51_200])],[avatar_definition]) ).

fof(f1337,plain,
    ( spl51_200
    | spl51_173 ),
    inference(avatar_split_clause,[],[f294,f1187,f1334]) ).

fof(f1338,plain,
    ( ~ spl51_200
    | spl51_23
    | ~ spl51_26
    | spl51_154 ),
    inference(avatar_split_clause,[],[f335,f1089,f451,f437,f1334]) ).

fof(f1339,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | ~ c0_1(X100) )
    | ~ spl51_29
    | ~ spl51_33 ),
    inference(forward_subsumption_resolution,[],[f481,f464]) ).

fof(f1340,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | c3_1(X95) )
    | ~ spl51_31
    | ~ spl51_34 ),
    inference(forward_subsumption_resolution,[],[f485,f473]) ).

fof(f1341,plain,
    ( ! [X84] :
        ( ~ c2_1(X84)
        | c3_1(X84) )
    | ~ spl51_31
    | ~ spl51_35 ),
    inference(forward_subsumption_resolution,[],[f489,f473]) ).

fof(f1342,plain,
    ( ! [X68] :
        ( c1_1(X68)
        | c2_1(X68) )
    | ~ spl51_37
    | ~ spl51_38 ),
    inference(forward_subsumption_resolution,[],[f503,f498]) ).

fof(f1343,plain,
    ( ! [X36] :
        ( c3_1(X36)
        | c0_1(X36) )
    | ~ spl51_39
    | ~ spl51_41 ),
    inference(forward_subsumption_resolution,[],[f515,f507]) ).

fof(f1344,plain,
    ( ! [X5] :
        ( c1_1(X5)
        | c2_1(X5) )
    | ~ spl51_42
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f1013,f520]) ).

fof(f1345,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl51_27
    | ~ spl51_138 ),
    inference(forward_subsumption_resolution,[],[f1021,f456]) ).

fof(f1346,plain,
    ( ! [X7] :
        ( ~ c1_1(X7)
        | ~ c2_1(X7) )
    | ~ spl51_29
    | ~ spl51_140 ),
    inference(forward_subsumption_resolution,[],[f1030,f464]) ).

fof(f1347,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | c2_1(X15) )
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(forward_subsumption_resolution,[],[f1052,f999]) ).

fof(f1348,plain,
    ( ! [X13] :
        ( c1_1(X13)
        | c0_1(X13) )
    | ~ spl51_42
    | ~ spl51_146 ),
    inference(forward_subsumption_resolution,[],[f1056,f520]) ).

fof(f1349,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c2_1(X42) )
    | ~ spl51_37
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f1162,f498]) ).

fof(f1350,plain,
    ( ! [X50] :
        ( ~ c1_1(X50)
        | ~ c2_1(X50) )
    | ~ spl51_31
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f1188,f473]) ).

fof(f1351,plain,
    ( ~ c0_1(a1210)
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_120 ),
    inference(resolution,[],[f1339,f932]) ).

fof(f1352,plain,
    ( ~ c0_1(a1233)
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_83 ),
    inference(resolution,[],[f1339,f739]) ).

fof(f1354,plain,
    ( ~ c0_1(a1214)
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_44 ),
    inference(resolution,[],[f1339,f531]) ).

fof(f1355,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(forward_subsumption_resolution,[],[f1354,f536]) ).

fof(f1356,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1363,plain,
    ( c3_1(a1210)
    | ~ spl51_31
    | ~ spl51_34
    | ~ spl51_120 ),
    inference(resolution,[],[f1340,f932]) ).

fof(f1374,plain,
    ( c2_1(a1216)
    | ~ spl51_37
    | ~ spl51_38
    | spl51_109 ),
    inference(resolution,[],[f1342,f873]) ).

fof(f1377,plain,
    ( $false
    | ~ spl51_37
    | ~ spl51_38
    | spl51_108
    | spl51_109 ),
    inference(forward_subsumption_resolution,[],[f1374,f868]) ).

fof(f1378,plain,
    ( ~ spl51_37
    | ~ spl51_38
    | spl51_108
    | spl51_109 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1383,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | ~ c0_1(X100) )
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f481,f1350]) ).

fof(f1442,plain,
    ( ! [X7] :
        ( ~ c2_1(X7)
        | c0_1(X7) )
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(forward_subsumption_resolution,[],[f1030,f1056]) ).

fof(f1443,plain,
    ( ! [X19] :
        ( ~ c2_1(X19)
        | c0_1(X19) )
    | ~ spl51_39
    | ~ spl51_41
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f1074,f1343]) ).

fof(f1444,plain,
    ( ! [X100] :
        ( ~ c0_1(X100)
        | c2_1(X100) )
    | ~ spl51_33
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f481,f1013]) ).

fof(f1454,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c0_1(X11) )
    | ~ spl51_142
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f1038,f1070]) ).

fof(f1459,plain,
    ( ~ c0_1(a1237)
    | ~ spl51_27
    | ~ spl51_77
    | ~ spl51_138 ),
    inference(resolution,[],[f1345,f707]) ).

fof(f1461,plain,
    ( ~ c0_1(a1204)
    | ~ spl51_27
    | ~ spl51_52
    | ~ spl51_138 ),
    inference(resolution,[],[f1345,f574]) ).

fof(f1473,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c1_1(X8) )
    | ~ spl51_36
    | ~ spl51_138 ),
    inference(forward_subsumption_resolution,[],[f1021,f494]) ).

fof(f1504,plain,
    ( ! [X26] :
        ( ~ c0_1(X26)
        | c3_1(X26) )
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f1105,f1082]) ).

fof(f1520,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c3_1(X26) )
    | ~ spl51_39
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f1105,f507]) ).

fof(f1521,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f1052,f1090]) ).

fof(f1563,plain,
    ( ~ spl51_78
    | ~ spl51_27
    | ~ spl51_77
    | ~ spl51_138 ),
    inference(avatar_split_clause,[],[f1459,f1020,f705,f455,f710]) ).

fof(f1564,plain,
    ( ~ spl51_54
    | ~ spl51_27
    | ~ spl51_52
    | ~ spl51_138 ),
    inference(avatar_split_clause,[],[f1461,f1020,f572,f455,f582]) ).

fof(f1625,plain,
    ( c3_1(a1206)
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_126 ),
    inference(resolution,[],[f1341,f964]) ).

fof(f1626,plain,
    ( c3_1(a1212)
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_115 ),
    inference(resolution,[],[f1341,f905]) ).

fof(f1630,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_35
    | spl51_113
    | ~ spl51_115 ),
    inference(forward_subsumption_resolution,[],[f1626,f895]) ).

fof(f1631,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | spl51_113
    | ~ spl51_115 ),
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1636,plain,
    ( c1_1(a1229)
    | ~ spl51_36
    | ~ spl51_90
    | ~ spl51_138 ),
    inference(resolution,[],[f1473,f776]) ).

fof(f1639,plain,
    ( c1_1(a1267)
    | ~ spl51_36
    | ~ spl51_57
    | ~ spl51_138 ),
    inference(resolution,[],[f1473,f600]) ).

fof(f1711,plain,
    ( ~ c2_1(a1215)
    | ~ spl51_29
    | ~ spl51_112
    | ~ spl51_140 ),
    inference(resolution,[],[f1346,f889]) ).

fof(f1717,plain,
    ( ~ spl51_111
    | ~ spl51_29
    | ~ spl51_112
    | ~ spl51_140 ),
    inference(avatar_split_clause,[],[f1711,f1029,f887,f463,f882]) ).

fof(f1786,plain,
    ( ~ c0_1(a1247)
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_72 ),
    inference(resolution,[],[f1339,f680]) ).

fof(f1789,plain,
    ( c2_1(a1228)
    | ~ spl51_33
    | ~ spl51_93
    | ~ spl51_136 ),
    inference(resolution,[],[f1444,f791]) ).

fof(f1799,plain,
    ( $false
    | ~ spl51_33
    | spl51_91
    | ~ spl51_93
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f1789,f781]) ).

fof(f1800,plain,
    ( ~ spl51_33
    | spl51_91
    | ~ spl51_93
    | ~ spl51_136 ),
    inference(avatar_contradiction_clause,[],[f1799]) ).

fof(f1801,plain,
    ( ! [X10] :
        ( c0_1(X10)
        | c2_1(X10) )
    | ~ spl51_42
    | ~ spl51_164 ),
    inference(forward_subsumption_resolution,[],[f520,f1143]) ).

fof(f1843,plain,
    ( ! [X15] :
        ( ~ c3_1(X15)
        | c2_1(X15) )
    | ~ spl51_42
    | ~ spl51_145
    | ~ spl51_164 ),
    inference(forward_subsumption_resolution,[],[f1052,f1801]) ).

fof(f1904,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c2_1(X1) )
    | ~ spl51_41
    | ~ spl51_133 ),
    inference(forward_subsumption_resolution,[],[f999,f515]) ).

fof(f1998,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | c2_1(X21) )
    | ~ spl51_27
    | ~ spl51_138
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f1082,f1345]) ).

fof(f2000,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85) )
    | ~ spl51_29
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f1286,f464]) ).

fof(f2043,plain,
    ( ~ c2_1(a1219)
    | ~ spl51_31
    | ~ spl51_103
    | ~ spl51_173 ),
    inference(resolution,[],[f1350,f842]) ).

fof(f2046,plain,
    ( ~ c2_1(a1208)
    | ~ spl51_31
    | ~ spl51_50
    | ~ spl51_173 ),
    inference(resolution,[],[f1350,f563]) ).

fof(f2047,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_49
    | ~ spl51_50
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f2046,f558]) ).

fof(f2048,plain,
    ( ~ spl51_31
    | ~ spl51_49
    | ~ spl51_50
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2049,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f2043,f837]) ).

fof(f2050,plain,
    ( ~ spl51_31
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2102,plain,
    ( c2_1(a1267)
    | ~ spl51_27
    | ~ spl51_57
    | ~ spl51_138
    | ~ spl51_152 ),
    inference(resolution,[],[f1998,f600]) ).

fof(f2107,plain,
    ( $false
    | ~ spl51_27
    | spl51_55
    | ~ spl51_57
    | ~ spl51_138
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f2102,f590]) ).

fof(f2108,plain,
    ( ~ spl51_27
    | spl51_55
    | ~ spl51_57
    | ~ spl51_138
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

fof(f2113,plain,
    ( ~ c2_1(a1210)
    | ~ c0_1(a1210)
    | ~ spl51_29
    | ~ spl51_120 ),
    inference(resolution,[],[f464,f932]) ).

fof(f2117,plain,
    ( ~ c2_1(a1208)
    | ~ c0_1(a1208)
    | ~ spl51_29
    | ~ spl51_50 ),
    inference(resolution,[],[f464,f563]) ).

fof(f2118,plain,
    ( ~ c2_1(a1210)
    | c3_1(a1210)
    | ~ spl51_31
    | ~ spl51_120 ),
    inference(resolution,[],[f473,f932]) ).

fof(f2151,plain,
    ( c0_1(a1216)
    | c2_1(a1216)
    | ~ spl51_41
    | spl51_107 ),
    inference(resolution,[],[f515,f863]) ).

fof(f2156,plain,
    ( c0_1(a1247)
    | c2_1(a1247)
    | ~ spl51_41
    | spl51_70 ),
    inference(resolution,[],[f515,f670]) ).

fof(f2158,plain,
    ( c0_1(a1261)
    | c2_1(a1261)
    | ~ spl51_41
    | spl51_58 ),
    inference(resolution,[],[f515,f606]) ).

fof(f2169,plain,
    ( c0_1(a1216)
    | ~ spl51_41
    | spl51_107
    | spl51_108 ),
    inference(forward_subsumption_resolution,[],[f2151,f868]) ).

fof(f2179,plain,
    ( c1_1(a1267)
    | c2_1(a1267)
    | ~ spl51_57
    | ~ spl51_136 ),
    inference(resolution,[],[f1013,f600]) ).

fof(f2183,plain,
    ( c2_1(a1267)
    | spl51_56
    | ~ spl51_57
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f2179,f595]) ).

fof(f2187,plain,
    ( $false
    | spl51_55
    | spl51_56
    | ~ spl51_57
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f2183,f590]) ).

fof(f2188,plain,
    ( spl51_55
    | spl51_56
    | ~ spl51_57
    | ~ spl51_136 ),
    inference(avatar_contradiction_clause,[],[f2187]) ).

fof(f2190,plain,
    ( ~ c2_1(a1210)
    | ~ spl51_29
    | ~ spl51_120
    | ~ spl51_121 ),
    inference(forward_subsumption_resolution,[],[f2113,f937]) ).

fof(f2191,plain,
    ( ~ c2_1(a1210)
    | ~ spl51_31
    | spl51_119
    | ~ spl51_120 ),
    inference(forward_subsumption_resolution,[],[f2118,f927]) ).

fof(f2192,plain,
    ( ~ c0_1(a1208)
    | ~ spl51_29
    | ~ spl51_49
    | ~ spl51_50 ),
    inference(forward_subsumption_resolution,[],[f2117,f558]) ).

fof(f2246,plain,
    ( spl51_88
    | ~ spl51_36
    | ~ spl51_90
    | ~ spl51_138 ),
    inference(avatar_split_clause,[],[f1636,f1020,f774,f493,f764]) ).

fof(f2257,plain,
    ( ~ spl51_51
    | ~ spl51_29
    | ~ spl51_49
    | ~ spl51_50 ),
    inference(avatar_split_clause,[],[f2192,f561,f556,f463,f566]) ).

fof(f2259,definition,
    ( spl51_202
  <=> c2_1(a1210) ),
    introduced(definition,[new_symbols(definition,[spl51_202])],[avatar_definition]) ).

fof(f2261,plain,
    ( ~ c2_1(a1210)
    | spl51_202 ),
    inference(avatar_component_clause,[],[f2259]) ).

fof(f2264,plain,
    ( ~ spl51_202
    | ~ spl51_29
    | ~ spl51_120
    | ~ spl51_121 ),
    inference(avatar_split_clause,[],[f2190,f935,f930,f463,f2259]) ).

fof(f2270,plain,
    ( ~ spl51_202
    | ~ spl51_31
    | spl51_119
    | ~ spl51_120 ),
    inference(avatar_split_clause,[],[f2191,f930,f925,f472,f2259]) ).

fof(f2294,plain,
    ( c0_1(a1215)
    | c3_1(a1215)
    | ~ spl51_40
    | ~ spl51_112 ),
    inference(resolution,[],[f889,f511]) ).

fof(f2295,plain,
    ( ~ c2_1(a1215)
    | c3_1(a1215)
    | ~ spl51_31
    | ~ spl51_112 ),
    inference(resolution,[],[f889,f473]) ).

fof(f2296,plain,
    ( c3_1(a1215)
    | ~ spl51_31
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(forward_subsumption_resolution,[],[f2295,f884]) ).

fof(f2297,plain,
    ( c0_1(a1215)
    | ~ spl51_40
    | spl51_110
    | ~ spl51_112 ),
    inference(forward_subsumption_resolution,[],[f2294,f879]) ).

fof(f2350,plain,
    ( c2_1(a1232)
    | ~ spl51_42
    | ~ spl51_87
    | ~ spl51_145
    | ~ spl51_164 ),
    inference(resolution,[],[f1843,f760]) ).

fof(f2357,plain,
    ( $false
    | ~ spl51_42
    | spl51_85
    | ~ spl51_87
    | ~ spl51_145
    | ~ spl51_164 ),
    inference(forward_subsumption_resolution,[],[f2350,f750]) ).

fof(f2358,plain,
    ( ~ spl51_42
    | spl51_85
    | ~ spl51_87
    | ~ spl51_145
    | ~ spl51_164 ),
    inference(avatar_contradiction_clause,[],[f2357]) ).

fof(f2387,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | c2_1(X42) )
    | ~ spl51_34
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f1162,f485]) ).

fof(f2446,plain,
    ( c2_1(a1224)
    | ~ spl51_34
    | ~ spl51_96
    | ~ spl51_168 ),
    inference(resolution,[],[f2387,f807]) ).

fof(f2451,plain,
    ( $false
    | ~ spl51_34
    | spl51_94
    | ~ spl51_96
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f2446,f797]) ).

fof(f2452,plain,
    ( ~ spl51_34
    | spl51_94
    | ~ spl51_96
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f2451]) ).

fof(f2501,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | ~ c2_1(X50) )
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(forward_subsumption_resolution,[],[f1188,f1295]) ).

fof(f2502,plain,
    ( ! [X8] :
        ( ~ c3_1(X8)
        | c1_1(X8) )
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f1021,f1070]) ).

fof(f2503,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c2_1(X21) )
    | ~ spl51_41
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f1082,f515]) ).

fof(f2514,plain,
    ( ~ c2_1(a1204)
    | ~ spl51_52
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(resolution,[],[f2501,f574]) ).

fof(f2515,plain,
    ( ~ c2_1(a1213)
    | ~ spl51_46
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(resolution,[],[f2501,f542]) ).

fof(f2516,plain,
    ( $false
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(forward_subsumption_resolution,[],[f2515,f547]) ).

fof(f2517,plain,
    ( ~ spl51_46
    | ~ spl51_47
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2518,plain,
    ( $false
    | ~ spl51_52
    | ~ spl51_53
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(forward_subsumption_resolution,[],[f2514,f579]) ).

fof(f2519,plain,
    ( ~ spl51_52
    | ~ spl51_53
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(avatar_contradiction_clause,[],[f2518]) ).

fof(f2527,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | ~ c2_1(X50) )
    | ~ spl51_138
    | ~ spl51_149
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f1188,f2502]) ).

fof(f2532,plain,
    ( c2_1(a1233)
    | ~ spl51_33
    | ~ spl51_84
    | ~ spl51_136 ),
    inference(resolution,[],[f1444,f744]) ).

fof(f2546,plain,
    ( c1_1(a1237)
    | ~ spl51_77
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(resolution,[],[f2502,f707]) ).

fof(f2547,plain,
    ( c1_1(a1246)
    | ~ spl51_74
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(resolution,[],[f2502,f691]) ).

fof(f2557,plain,
    ( $false
    | spl51_73
    | ~ spl51_74
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f2547,f686]) ).

fof(f2558,plain,
    ( spl51_73
    | ~ spl51_74
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(avatar_contradiction_clause,[],[f2557]) ).

fof(f2559,plain,
    ( $false
    | spl51_76
    | ~ spl51_77
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f2546,f702]) ).

fof(f2560,plain,
    ( spl51_76
    | ~ spl51_77
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2564,plain,
    ( ! [X50] :
        ( ~ c3_1(X50)
        | ~ c1_1(X50) )
    | ~ spl51_168
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f1188,f1162]) ).

fof(f2590,plain,
    ( c3_1(a1206)
    | ~ spl51_127
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(resolution,[],[f1504,f969]) ).

fof(f2591,plain,
    ( c3_1(a1210)
    | ~ spl51_121
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(resolution,[],[f1504,f937]) ).

fof(f2596,plain,
    ( c3_1(a1259)
    | ~ spl51_63
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(resolution,[],[f1504,f632]) ).

fof(f2606,plain,
    ( $false
    | spl51_61
    | ~ spl51_63
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f2596,f622]) ).

fof(f2607,plain,
    ( spl51_61
    | ~ spl51_63
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f2606]) ).

fof(f2612,plain,
    ( $false
    | spl51_119
    | ~ spl51_121
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f2591,f927]) ).

fof(f2613,plain,
    ( spl51_119
    | ~ spl51_121
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f2612]) ).

fof(f2614,plain,
    ( $false
    | spl51_125
    | ~ spl51_127
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f2590,f959]) ).

fof(f2615,plain,
    ( spl51_125
    | ~ spl51_127
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2619,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15) )
    | ~ spl51_41
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f1052,f2503]) ).

fof(f2654,plain,
    ( c2_1(a1207)
    | ~ spl51_41
    | spl51_124
    | ~ spl51_133 ),
    inference(resolution,[],[f1904,f953]) ).

fof(f2659,plain,
    ( c2_1(a1232)
    | ~ spl51_41
    | spl51_86
    | ~ spl51_133 ),
    inference(resolution,[],[f1904,f755]) ).

fof(f2664,plain,
    ( $false
    | ~ spl51_41
    | spl51_85
    | spl51_86
    | ~ spl51_133 ),
    inference(forward_subsumption_resolution,[],[f2659,f750]) ).

fof(f2665,plain,
    ( ~ spl51_41
    | spl51_85
    | spl51_86
    | ~ spl51_133 ),
    inference(avatar_contradiction_clause,[],[f2664]) ).

fof(f2668,plain,
    ( $false
    | ~ spl51_41
    | spl51_122
    | spl51_124
    | ~ spl51_133 ),
    inference(forward_subsumption_resolution,[],[f2654,f943]) ).

fof(f2669,plain,
    ( ~ spl51_41
    | spl51_122
    | spl51_124
    | ~ spl51_133 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2678,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | c2_1(X42) )
    | ~ spl51_41
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f1162,f2503]) ).

fof(f2690,plain,
    ( c3_1(a1236)
    | ~ spl51_81
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(resolution,[],[f1504,f728]) ).

fof(f2696,plain,
    ( $false
    | spl51_79
    | ~ spl51_81
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f2690,f718]) ).

fof(f2697,plain,
    ( spl51_79
    | ~ spl51_81
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2764,plain,
    ( c2_1(a1261)
    | ~ spl51_41
    | spl51_58
    | spl51_60 ),
    inference(forward_subsumption_resolution,[],[f2158,f616]) ).

fof(f2768,plain,
    ( $false
    | ~ spl51_41
    | spl51_58
    | spl51_59
    | spl51_60 ),
    inference(forward_subsumption_resolution,[],[f2764,f611]) ).

fof(f2769,plain,
    ( ~ spl51_41
    | spl51_58
    | spl51_59
    | spl51_60 ),
    inference(avatar_contradiction_clause,[],[f2768]) ).

fof(f2829,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | c2_1(X77) )
    | ~ spl51_37
    | ~ spl51_41
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f498,f2503]) ).

fof(f2856,plain,
    ( c2_1(a1247)
    | ~ spl51_41
    | spl51_70
    | ~ spl51_152 ),
    inference(resolution,[],[f2503,f670]) ).

fof(f2858,plain,
    ( $false
    | ~ spl51_41
    | spl51_70
    | spl51_71
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f2856,f675]) ).

fof(f2859,plain,
    ( ~ spl51_41
    | spl51_70
    | spl51_71
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f2858]) ).

fof(f2861,plain,
    ( spl51_56
    | ~ spl51_36
    | ~ spl51_57
    | ~ spl51_138 ),
    inference(avatar_split_clause,[],[f1639,f1020,f598,f493,f593]) ).

fof(f2862,plain,
    ( ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59) )
    | ~ spl51_39
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f507,f1074]) ).

fof(f2866,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | c3_1(X51) )
    | ~ spl51_40
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f511,f1258]) ).

fof(f2871,plain,
    ( c2_1(a1216)
    | ~ spl51_41
    | spl51_107
    | ~ spl51_152 ),
    inference(resolution,[],[f863,f2503]) ).

fof(f2873,plain,
    ( $false
    | ~ spl51_41
    | spl51_107
    | spl51_108
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f2871,f868]) ).

fof(f2874,plain,
    ( ~ spl51_41
    | spl51_107
    | spl51_108
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f2873]) ).

fof(f2894,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62) )
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f1226,f1070]) ).

fof(f2954,plain,
    ( ~ c2_1(a1204)
    | ~ spl51_52
    | ~ spl51_138
    | ~ spl51_149
    | ~ spl51_173 ),
    inference(resolution,[],[f2527,f574]) ).

fof(f2955,plain,
    ( $false
    | ~ spl51_52
    | ~ spl51_53
    | ~ spl51_138
    | ~ spl51_149
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f2954,f579]) ).

fof(f2956,plain,
    ( ~ spl51_52
    | ~ spl51_53
    | ~ spl51_138
    | ~ spl51_149
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f2955]) ).

fof(f2963,plain,
    ( ! [X78] :
        ( ~ c0_1(X78)
        | c3_1(X78) )
    | ~ spl51_36
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f494,f1258]) ).

fof(f3069,plain,
    ( ~ c1_1(a1224)
    | ~ spl51_95
    | ~ spl51_168
    | ~ spl51_173 ),
    inference(resolution,[],[f2564,f802]) ).

fof(f3082,plain,
    ( $false
    | ~ spl51_95
    | ~ spl51_96
    | ~ spl51_168
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f3069,f807]) ).

fof(f3083,plain,
    ( ~ spl51_95
    | ~ spl51_96
    | ~ spl51_168
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f3082]) ).

fof(f3088,plain,
    ( $false
    | ~ spl51_33
    | spl51_82
    | ~ spl51_84
    | ~ spl51_136 ),
    inference(forward_subsumption_resolution,[],[f2532,f734]) ).

fof(f3089,plain,
    ( ~ spl51_33
    | spl51_82
    | ~ spl51_84
    | ~ spl51_136 ),
    inference(avatar_contradiction_clause,[],[f3088]) ).

fof(f3118,plain,
    ( c0_1(a1219)
    | ~ spl51_39
    | ~ spl51_41
    | ~ spl51_102
    | ~ spl51_150 ),
    inference(resolution,[],[f1443,f837]) ).

fof(f3148,plain,
    ( c2_1(a1267)
    | ~ spl51_41
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(resolution,[],[f2619,f600]) ).

fof(f3153,plain,
    ( c2_1(a1211)
    | ~ spl51_41
    | ~ spl51_118
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(resolution,[],[f2678,f921]) ).

fof(f3156,plain,
    ( c2_1(a1224)
    | ~ spl51_41
    | ~ spl51_96
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(resolution,[],[f2678,f807]) ).

fof(f3157,plain,
    ( c2_1(a1233)
    | ~ spl51_41
    | ~ spl51_83
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(resolution,[],[f2678,f739]) ).

fof(f3160,plain,
    ( $false
    | ~ spl51_41
    | spl51_82
    | ~ spl51_83
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f3157,f734]) ).

fof(f3161,plain,
    ( ~ spl51_41
    | spl51_82
    | ~ spl51_83
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f3160]) ).

fof(f3162,plain,
    ( $false
    | ~ spl51_41
    | spl51_94
    | ~ spl51_96
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f3156,f797]) ).

fof(f3163,plain,
    ( ~ spl51_41
    | spl51_94
    | ~ spl51_96
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f3162]) ).

fof(f3164,plain,
    ( $false
    | ~ spl51_41
    | spl51_116
    | ~ spl51_118
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f3153,f911]) ).

fof(f3165,plain,
    ( ~ spl51_41
    | spl51_116
    | ~ spl51_118
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f3164]) ).

fof(f3177,plain,
    ( c0_1(a1205)
    | spl51_128
    | ~ spl51_142
    | ~ spl51_149 ),
    inference(resolution,[],[f1454,f975]) ).

fof(f3194,plain,
    ( $false
    | spl51_128
    | spl51_129
    | ~ spl51_142
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f3177,f980]) ).

fof(f3195,plain,
    ( spl51_128
    | spl51_129
    | ~ spl51_142
    | ~ spl51_149 ),
    inference(avatar_contradiction_clause,[],[f3194]) ).

fof(f3214,plain,
    ( c2_1(a1267)
    | ~ spl51_37
    | ~ spl51_41
    | spl51_56
    | ~ spl51_152 ),
    inference(resolution,[],[f2829,f595]) ).

fof(f3216,plain,
    ( $false
    | ~ spl51_37
    | ~ spl51_41
    | spl51_55
    | spl51_56
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f3214,f590]) ).

fof(f3217,plain,
    ( ~ spl51_37
    | ~ spl51_41
    | spl51_55
    | spl51_56
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f3216]) ).

fof(f3225,plain,
    ( ~ c2_1(a1215)
    | ~ c0_1(a1215)
    | ~ spl51_29
    | ~ spl51_112 ),
    inference(resolution,[],[f464,f889]) ).

fof(f3234,plain,
    ( c2_1(a1207)
    | c0_1(a1207)
    | ~ spl51_42
    | spl51_123 ),
    inference(resolution,[],[f520,f948]) ).

fof(f3236,plain,
    ( c2_1(a1216)
    | c0_1(a1216)
    | ~ spl51_42
    | spl51_109 ),
    inference(resolution,[],[f520,f873]) ).

fof(f3246,plain,
    ( c0_1(a1216)
    | ~ spl51_42
    | spl51_108
    | spl51_109 ),
    inference(forward_subsumption_resolution,[],[f3236,f868]) ).

fof(f3247,plain,
    ( c0_1(a1207)
    | ~ spl51_42
    | spl51_122
    | spl51_123 ),
    inference(forward_subsumption_resolution,[],[f3234,f943]) ).

fof(f3248,plain,
    ( $false
    | ~ spl51_42
    | spl51_122
    | spl51_123
    | spl51_124 ),
    inference(forward_subsumption_resolution,[],[f3247,f953]) ).

fof(f3249,plain,
    ( ~ spl51_42
    | spl51_122
    | spl51_123
    | spl51_124 ),
    inference(avatar_contradiction_clause,[],[f3248]) ).

fof(f3250,plain,
    ( ~ c2_1(a1213)
    | ~ c0_1(a1213)
    | ~ spl51_29
    | ~ spl51_48 ),
    inference(resolution,[],[f552,f464]) ).

fof(f3258,plain,
    ( c0_1(a1217)
    | c1_1(a1217)
    | spl51_104
    | ~ spl51_142 ),
    inference(resolution,[],[f1038,f847]) ).

fof(f3266,plain,
    ( c1_1(a1217)
    | spl51_104
    | spl51_106
    | ~ spl51_142 ),
    inference(forward_subsumption_resolution,[],[f3258,f857]) ).

fof(f3268,plain,
    ( $false
    | spl51_104
    | spl51_105
    | spl51_106
    | ~ spl51_142 ),
    inference(forward_subsumption_resolution,[],[f3266,f852]) ).

fof(f3269,plain,
    ( spl51_104
    | spl51_105
    | spl51_106
    | ~ spl51_142 ),
    inference(avatar_contradiction_clause,[],[f3268]) ).

fof(f3281,plain,
    ( c2_1(a1232)
    | ~ spl51_42
    | spl51_86
    | ~ spl51_164 ),
    inference(resolution,[],[f1801,f755]) ).

fof(f3292,plain,
    ( $false
    | ~ spl51_42
    | spl51_85
    | spl51_86
    | ~ spl51_164 ),
    inference(forward_subsumption_resolution,[],[f3281,f750]) ).

fof(f3293,plain,
    ( ~ spl51_42
    | spl51_85
    | spl51_86
    | ~ spl51_164 ),
    inference(avatar_contradiction_clause,[],[f3292]) ).

fof(f3304,plain,
    ( spl51_100
    | ~ spl51_39
    | ~ spl51_41
    | ~ spl51_102
    | ~ spl51_150 ),
    inference(avatar_split_clause,[],[f3118,f1073,f835,f514,f506,f826]) ).

fof(f3317,plain,
    ( $false
    | ~ spl51_41
    | spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f3148,f590]) ).

fof(f3318,plain,
    ( ~ spl51_41
    | spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f3317]) ).

fof(f3323,plain,
    ( ~ c0_1(a1215)
    | ~ spl51_29
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(forward_subsumption_resolution,[],[f3225,f884]) ).

fof(f3324,plain,
    ( ~ c0_1(a1213)
    | ~ spl51_29
    | ~ spl51_47
    | ~ spl51_48 ),
    inference(forward_subsumption_resolution,[],[f3250,f547]) ).

fof(f3333,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl51_150
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f1090,f1074]) ).

fof(f3344,definition,
    ( spl51_203
  <=> c0_1(a1216) ),
    introduced(definition,[new_symbols(definition,[spl51_203])],[avatar_definition]) ).

fof(f3346,plain,
    ( c0_1(a1216)
    | ~ spl51_203 ),
    inference(avatar_component_clause,[],[f3344]) ).

fof(f3349,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_40
    | spl51_110
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(forward_subsumption_resolution,[],[f3323,f2297]) ).

fof(f3350,plain,
    ( ~ spl51_29
    | ~ spl51_40
    | spl51_110
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3353,plain,
    ( spl51_110
    | ~ spl51_31
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(avatar_split_clause,[],[f2296,f887,f882,f472,f877]) ).

fof(f3365,plain,
    ( ~ c2_1(a1214)
    | ~ c0_1(a1214)
    | ~ spl51_29
    | ~ spl51_44 ),
    inference(resolution,[],[f531,f464]) ).

fof(f3395,plain,
    ( ~ c2_1(a1206)
    | ~ spl51_29
    | ~ spl51_127
    | ~ spl51_191 ),
    inference(resolution,[],[f2000,f969]) ).

fof(f3405,plain,
    ( ~ c2_1(a1204)
    | ~ spl51_29
    | ~ spl51_54
    | ~ spl51_191 ),
    inference(resolution,[],[f2000,f584]) ).

fof(f3407,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_53
    | ~ spl51_54
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f3405,f579]) ).

fof(f3408,plain,
    ( ~ spl51_29
    | ~ spl51_53
    | ~ spl51_54
    | ~ spl51_191 ),
    inference(avatar_contradiction_clause,[],[f3407]) ).

fof(f3414,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_126
    | ~ spl51_127
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f3395,f964]) ).

fof(f3415,plain,
    ( ~ spl51_29
    | ~ spl51_126
    | ~ spl51_127
    | ~ spl51_191 ),
    inference(avatar_contradiction_clause,[],[f3414]) ).

fof(f3416,plain,
    ( ~ c2_1(a1214)
    | ~ spl51_29
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(forward_subsumption_resolution,[],[f3365,f536]) ).

fof(f3421,plain,
    ( c3_1(a1210)
    | ~ spl51_40
    | ~ spl51_120
    | ~ spl51_186 ),
    inference(resolution,[],[f2866,f932]) ).

fof(f3435,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c2_1(X42) )
    | ~ spl51_42
    | ~ spl51_136
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f1162,f1344]) ).

fof(f3438,plain,
    ( c2_1(a1216)
    | ~ spl51_42
    | spl51_109
    | ~ spl51_136 ),
    inference(resolution,[],[f1344,f873]) ).

fof(f3464,plain,
    ( c2_1(a1214)
    | ~ spl51_42
    | ~ spl51_43
    | ~ spl51_136
    | ~ spl51_168 ),
    inference(resolution,[],[f3435,f526]) ).

fof(f3466,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_42
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45
    | ~ spl51_136
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f3464,f3416]) ).

fof(f3467,plain,
    ( ~ spl51_29
    | ~ spl51_42
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45
    | ~ spl51_136
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f3466]) ).

fof(f3479,plain,
    ( ! [X78] :
        ( c3_1(X78)
        | c1_1(X78) )
    | ~ spl51_36
    | ~ spl51_142 ),
    inference(forward_subsumption_resolution,[],[f494,f1038]) ).

fof(f3500,plain,
    ( ~ c2_1(a1219)
    | ~ spl51_29
    | ~ spl51_103
    | ~ spl51_140 ),
    inference(resolution,[],[f1346,f842]) ).

fof(f3508,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_140 ),
    inference(forward_subsumption_resolution,[],[f3500,f837]) ).

fof(f3509,plain,
    ( ~ spl51_29
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_140 ),
    inference(avatar_contradiction_clause,[],[f3508]) ).

fof(f3562,definition,
    ( spl51_208
  <=> c0_1(a1247) ),
    introduced(definition,[new_symbols(definition,[spl51_208])],[avatar_definition]) ).

fof(f3563,plain,
    ( ~ c0_1(a1247)
    | spl51_208 ),
    inference(avatar_component_clause,[],[f3562]) ).

fof(f3564,plain,
    ( c0_1(a1247)
    | ~ spl51_208 ),
    inference(avatar_component_clause,[],[f3562]) ).

fof(f3572,plain,
    ( spl51_108
    | ~ spl51_42
    | spl51_109
    | ~ spl51_136 ),
    inference(avatar_split_clause,[],[f3438,f1012,f871,f519,f866]) ).

fof(f3625,plain,
    ( ~ c0_1(a1204)
    | ~ spl51_52
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(resolution,[],[f1521,f574]) ).

fof(f3627,plain,
    ( ~ c0_1(a1214)
    | ~ spl51_43
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(resolution,[],[f1521,f526]) ).

fof(f3628,plain,
    ( $false
    | ~ spl51_43
    | ~ spl51_45
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f3627,f536]) ).

fof(f3629,plain,
    ( ~ spl51_43
    | ~ spl51_45
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f3628]) ).

fof(f3630,plain,
    ( $false
    | ~ spl51_52
    | ~ spl51_54
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f3625,f584]) ).

fof(f3631,plain,
    ( ~ spl51_52
    | ~ spl51_54
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f3630]) ).

fof(f3641,plain,
    ( c1_1(a1223)
    | ~ spl51_36
    | spl51_97
    | ~ spl51_142 ),
    inference(resolution,[],[f3479,f812]) ).

fof(f3648,plain,
    ( $false
    | ~ spl51_36
    | spl51_97
    | spl51_98
    | ~ spl51_142 ),
    inference(forward_subsumption_resolution,[],[f3641,f817]) ).

fof(f3649,plain,
    ( ~ spl51_36
    | spl51_97
    | spl51_98
    | ~ spl51_142 ),
    inference(avatar_contradiction_clause,[],[f3648]) ).

fof(f3693,plain,
    ( ~ c0_1(a1214)
    | ~ c1_1(a1214)
    | ~ spl51_27
    | ~ spl51_43 ),
    inference(resolution,[],[f456,f526]) ).

fof(f3694,plain,
    ( ~ c1_1(a1214)
    | ~ spl51_27
    | ~ spl51_43
    | ~ spl51_45 ),
    inference(forward_subsumption_resolution,[],[f3693,f536]) ).

fof(f3697,plain,
    ( $false
    | ~ spl51_27
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(forward_subsumption_resolution,[],[f3694,f531]) ).

fof(f3698,plain,
    ( ~ spl51_27
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(avatar_contradiction_clause,[],[f3697]) ).

fof(f3700,plain,
    ( c2_1(a1247)
    | ~ spl51_41
    | spl51_70
    | spl51_208 ),
    inference(forward_subsumption_resolution,[],[f2156,f3563]) ).

fof(f3705,plain,
    ( spl51_203
    | ~ spl51_41
    | spl51_107
    | spl51_108 ),
    inference(avatar_split_clause,[],[f2169,f866,f861,f514,f3344]) ).

fof(f3709,plain,
    ( spl51_203
    | ~ spl51_42
    | spl51_108
    | spl51_109 ),
    inference(avatar_split_clause,[],[f3246,f871,f866,f519,f3344]) ).

fof(f3710,plain,
    ( $false
    | ~ spl51_41
    | spl51_70
    | spl51_71
    | spl51_208 ),
    inference(forward_subsumption_resolution,[],[f3700,f675]) ).

fof(f3711,plain,
    ( ~ spl51_41
    | spl51_70
    | spl51_71
    | spl51_208 ),
    inference(avatar_contradiction_clause,[],[f3710]) ).

fof(f3715,plain,
    ( c3_1(a1206)
    | ~ spl51_36
    | ~ spl51_127
    | ~ spl51_186 ),
    inference(resolution,[],[f2963,f969]) ).

fof(f3716,plain,
    ( c3_1(a1210)
    | ~ spl51_36
    | ~ spl51_121
    | ~ spl51_186 ),
    inference(resolution,[],[f2963,f937]) ).

fof(f3721,plain,
    ( c3_1(a1236)
    | ~ spl51_36
    | ~ spl51_81
    | ~ spl51_186 ),
    inference(resolution,[],[f2963,f728]) ).

fof(f3723,plain,
    ( c3_1(a1259)
    | ~ spl51_36
    | ~ spl51_63
    | ~ spl51_186 ),
    inference(resolution,[],[f2963,f632]) ).

fof(f3727,plain,
    ( $false
    | ~ spl51_36
    | spl51_61
    | ~ spl51_63
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f3723,f622]) ).

fof(f3728,plain,
    ( ~ spl51_36
    | spl51_61
    | ~ spl51_63
    | ~ spl51_186 ),
    inference(avatar_contradiction_clause,[],[f3727]) ).

fof(f3729,plain,
    ( $false
    | ~ spl51_36
    | spl51_79
    | ~ spl51_81
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f3721,f718]) ).

fof(f3730,plain,
    ( ~ spl51_36
    | spl51_79
    | ~ spl51_81
    | ~ spl51_186 ),
    inference(avatar_contradiction_clause,[],[f3729]) ).

fof(f3735,plain,
    ( $false
    | ~ spl51_36
    | spl51_119
    | ~ spl51_121
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f3716,f927]) ).

fof(f3736,plain,
    ( ~ spl51_36
    | spl51_119
    | ~ spl51_121
    | ~ spl51_186 ),
    inference(avatar_contradiction_clause,[],[f3735]) ).

fof(f3737,plain,
    ( $false
    | ~ spl51_36
    | spl51_125
    | ~ spl51_127
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f3715,f959]) ).

fof(f3738,plain,
    ( ~ spl51_36
    | spl51_125
    | ~ spl51_127
    | ~ spl51_186 ),
    inference(avatar_contradiction_clause,[],[f3737]) ).

fof(f3741,plain,
    ( c2_1(a1210)
    | c3_1(a1210)
    | ~ spl51_34
    | ~ spl51_120 ),
    inference(resolution,[],[f485,f932]) ).

fof(f3748,plain,
    ( c2_1(a1247)
    | c3_1(a1247)
    | ~ spl51_34
    | ~ spl51_72 ),
    inference(resolution,[],[f485,f680]) ).

fof(f3755,plain,
    ( c3_1(a1247)
    | ~ spl51_34
    | spl51_71
    | ~ spl51_72 ),
    inference(forward_subsumption_resolution,[],[f3748,f675]) ).

fof(f3758,plain,
    ( c3_1(a1210)
    | ~ spl51_34
    | ~ spl51_120
    | spl51_202 ),
    inference(forward_subsumption_resolution,[],[f3741,f2261]) ).

fof(f3760,plain,
    ( $false
    | ~ spl51_34
    | spl51_70
    | spl51_71
    | ~ spl51_72 ),
    inference(forward_subsumption_resolution,[],[f3755,f670]) ).

fof(f3761,plain,
    ( ~ spl51_34
    | spl51_70
    | spl51_71
    | ~ spl51_72 ),
    inference(avatar_contradiction_clause,[],[f3760]) ).

fof(f3766,plain,
    ( ~ spl51_121
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_120 ),
    inference(avatar_split_clause,[],[f1351,f930,f480,f463,f935]) ).

fof(f3767,plain,
    ( ~ spl51_84
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_83 ),
    inference(avatar_split_clause,[],[f1352,f737,f480,f463,f742]) ).

fof(f3770,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_33
    | ~ spl51_72
    | ~ spl51_208 ),
    inference(forward_subsumption_resolution,[],[f1786,f3564]) ).

fof(f3771,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_72
    | ~ spl51_208 ),
    inference(avatar_contradiction_clause,[],[f3770]) ).

fof(f3806,plain,
    ( c0_1(a1232)
    | ~ spl51_87
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(resolution,[],[f2894,f760]) ).

fof(f3810,plain,
    ( c0_1(a1250)
    | ~ spl51_68
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(resolution,[],[f2894,f659]) ).

fof(f3814,plain,
    ( c0_1(a1213)
    | ~ spl51_46
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(resolution,[],[f2894,f542]) ).

fof(f3817,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f3814,f3324]) ).

fof(f3818,plain,
    ( ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(avatar_contradiction_clause,[],[f3817]) ).

fof(f3823,plain,
    ( $false
    | spl51_67
    | ~ spl51_68
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f3810,f654]) ).

fof(f3824,plain,
    ( spl51_67
    | ~ spl51_68
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(avatar_contradiction_clause,[],[f3823]) ).

fof(f3825,plain,
    ( $false
    | spl51_86
    | ~ spl51_87
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f3806,f755]) ).

fof(f3826,plain,
    ( spl51_86
    | ~ spl51_87
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(avatar_contradiction_clause,[],[f3825]) ).

fof(f3847,plain,
    ( ~ c2_1(a1246)
    | ~ spl51_74
    | ~ spl51_150
    | ~ spl51_154 ),
    inference(resolution,[],[f3333,f691]) ).

fof(f3862,plain,
    ( $false
    | ~ spl51_74
    | ~ spl51_75
    | ~ spl51_150
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f3847,f696]) ).

fof(f3863,plain,
    ( ~ spl51_74
    | ~ spl51_75
    | ~ spl51_150
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f3862]) ).

fof(f3873,plain,
    ( c1_1(a1223)
    | c3_1(a1223)
    | ~ spl51_35
    | ~ spl51_99 ),
    inference(resolution,[],[f489,f822]) ).

fof(f3881,plain,
    ( c3_1(a1223)
    | ~ spl51_35
    | spl51_98
    | ~ spl51_99 ),
    inference(forward_subsumption_resolution,[],[f3873,f817]) ).

fof(f3884,plain,
    ( $false
    | ~ spl51_35
    | spl51_97
    | spl51_98
    | ~ spl51_99 ),
    inference(forward_subsumption_resolution,[],[f3881,f812]) ).

fof(f3885,plain,
    ( ~ spl51_35
    | spl51_97
    | spl51_98
    | ~ spl51_99 ),
    inference(avatar_contradiction_clause,[],[f3884]) ).

fof(f3947,plain,
    ( c0_1(a1257)
    | c1_1(a1257)
    | ~ spl51_66
    | ~ spl51_149 ),
    inference(resolution,[],[f1070,f648]) ).

fof(f3953,plain,
    ( c1_1(a1257)
    | spl51_65
    | ~ spl51_66
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f3947,f643]) ).

fof(f3955,plain,
    ( $false
    | spl51_64
    | spl51_65
    | ~ spl51_66
    | ~ spl51_149 ),
    inference(forward_subsumption_resolution,[],[f3953,f638]) ).

fof(f3956,plain,
    ( spl51_64
    | spl51_65
    | ~ spl51_66
    | ~ spl51_149 ),
    inference(avatar_contradiction_clause,[],[f3955]) ).

fof(f3958,plain,
    ( c1_1(a1216)
    | c3_1(a1216)
    | ~ spl51_36
    | ~ spl51_203 ),
    inference(resolution,[],[f3346,f494]) ).

fof(f3962,plain,
    ( c3_1(a1216)
    | ~ spl51_36
    | spl51_109
    | ~ spl51_203 ),
    inference(forward_subsumption_resolution,[],[f3958,f873]) ).

fof(f3963,plain,
    ( $false
    | ~ spl51_36
    | spl51_107
    | spl51_109
    | ~ spl51_203 ),
    inference(forward_subsumption_resolution,[],[f3962,f863]) ).

fof(f3964,plain,
    ( ~ spl51_36
    | spl51_107
    | spl51_109
    | ~ spl51_203 ),
    inference(avatar_contradiction_clause,[],[f3963]) ).

fof(f3980,plain,
    ( c0_1(a1250)
    | ~ c2_1(a1250)
    | ~ spl51_68
    | ~ spl51_150 ),
    inference(resolution,[],[f1074,f659]) ).

fof(f3983,plain,
    ( c0_1(a1213)
    | ~ c2_1(a1213)
    | ~ spl51_46
    | ~ spl51_150 ),
    inference(resolution,[],[f1074,f542]) ).

fof(f3986,plain,
    ( ~ c2_1(a1213)
    | ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f3983,f3324]) ).

fof(f3987,plain,
    ( ~ c2_1(a1250)
    | spl51_67
    | ~ spl51_68
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f3980,f654]) ).

fof(f3988,plain,
    ( $false
    | ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f3986,f547]) ).

fof(f3989,plain,
    ( ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_150 ),
    inference(avatar_contradiction_clause,[],[f3988]) ).

fof(f3990,plain,
    ( $false
    | spl51_67
    | ~ spl51_68
    | ~ spl51_69
    | ~ spl51_150 ),
    inference(forward_subsumption_resolution,[],[f3987,f664]) ).

fof(f3991,plain,
    ( spl51_67
    | ~ spl51_68
    | ~ spl51_69
    | ~ spl51_150 ),
    inference(avatar_contradiction_clause,[],[f3990]) ).

fof(f4004,plain,
    ( spl51_119
    | ~ spl51_40
    | ~ spl51_120
    | ~ spl51_186 ),
    inference(avatar_split_clause,[],[f3421,f1257,f930,f510,f925]) ).

fof(f4012,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl51_40
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f1226,f511]) ).

fof(f4037,plain,
    ( c2_1(a1224)
    | ~ spl51_37
    | ~ spl51_95
    | ~ spl51_168 ),
    inference(resolution,[],[f1349,f802]) ).

fof(f4039,plain,
    ( c2_1(a1232)
    | ~ spl51_37
    | ~ spl51_87
    | ~ spl51_168 ),
    inference(resolution,[],[f1349,f760]) ).

fof(f4052,plain,
    ( $false
    | ~ spl51_37
    | spl51_85
    | ~ spl51_87
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f4039,f750]) ).

fof(f4053,plain,
    ( ~ spl51_37
    | spl51_85
    | ~ spl51_87
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f4052]) ).

fof(f4056,plain,
    ( $false
    | ~ spl51_37
    | spl51_94
    | ~ spl51_95
    | ~ spl51_168 ),
    inference(forward_subsumption_resolution,[],[f4037,f797]) ).

fof(f4057,plain,
    ( ~ spl51_37
    | spl51_94
    | ~ spl51_95
    | ~ spl51_168 ),
    inference(avatar_contradiction_clause,[],[f4056]) ).

fof(f4070,plain,
    ( c3_1(a1247)
    | ~ spl51_40
    | ~ spl51_72
    | ~ spl51_186 ),
    inference(resolution,[],[f2866,f680]) ).

fof(f4072,plain,
    ( $false
    | ~ spl51_40
    | spl51_70
    | ~ spl51_72
    | ~ spl51_186 ),
    inference(forward_subsumption_resolution,[],[f4070,f670]) ).

fof(f4073,plain,
    ( ~ spl51_40
    | spl51_70
    | ~ spl51_72
    | ~ spl51_186 ),
    inference(avatar_contradiction_clause,[],[f4072]) ).

fof(f4086,plain,
    ( c3_1(a1206)
    | ~ spl51_39
    | ~ spl51_126
    | ~ spl51_157 ),
    inference(resolution,[],[f1520,f964]) ).

fof(f4090,plain,
    ( c3_1(a1223)
    | ~ spl51_39
    | ~ spl51_99
    | ~ spl51_157 ),
    inference(resolution,[],[f1520,f822]) ).

fof(f4099,plain,
    ( $false
    | ~ spl51_39
    | spl51_97
    | ~ spl51_99
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f4090,f812]) ).

fof(f4100,plain,
    ( ~ spl51_39
    | spl51_97
    | ~ spl51_99
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f4099]) ).

fof(f4103,plain,
    ( $false
    | ~ spl51_39
    | spl51_125
    | ~ spl51_126
    | ~ spl51_157 ),
    inference(forward_subsumption_resolution,[],[f4086,f959]) ).

fof(f4104,plain,
    ( ~ spl51_39
    | spl51_125
    | ~ spl51_126
    | ~ spl51_157 ),
    inference(avatar_contradiction_clause,[],[f4103]) ).

fof(f4137,plain,
    ( c0_1(a1212)
    | c3_1(a1212)
    | ~ spl51_39
    | ~ spl51_115 ),
    inference(resolution,[],[f507,f905]) ).

fof(f4150,plain,
    ( c3_1(a1212)
    | ~ spl51_39
    | spl51_114
    | ~ spl51_115 ),
    inference(forward_subsumption_resolution,[],[f4137,f900]) ).

fof(f4154,plain,
    ( $false
    | ~ spl51_39
    | spl51_113
    | spl51_114
    | ~ spl51_115 ),
    inference(forward_subsumption_resolution,[],[f4150,f895]) ).

fof(f4155,plain,
    ( ~ spl51_39
    | spl51_113
    | spl51_114
    | ~ spl51_115 ),
    inference(avatar_contradiction_clause,[],[f4154]) ).

fof(f4157,plain,
    ( spl51_125
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_126 ),
    inference(avatar_split_clause,[],[f1625,f962,f488,f472,f957]) ).

fof(f4175,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | ~ c2_1(X22) )
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f1090,f1341]) ).

fof(f4177,plain,
    ( ! [X85] :
        ( ~ c2_1(X85)
        | ~ c0_1(X85) )
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f1286,f1383]) ).

fof(f4194,plain,
    ( c0_1(a1205)
    | ~ spl51_42
    | spl51_128
    | ~ spl51_146 ),
    inference(resolution,[],[f1348,f975]) ).

fof(f4212,plain,
    ( $false
    | ~ spl51_42
    | spl51_128
    | spl51_129
    | ~ spl51_146 ),
    inference(forward_subsumption_resolution,[],[f4194,f980]) ).

fof(f4213,plain,
    ( ~ spl51_42
    | spl51_128
    | spl51_129
    | ~ spl51_146 ),
    inference(avatar_contradiction_clause,[],[f4212]) ).

fof(f4215,plain,
    ( ! [X7] : ~ c2_1(X7)
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(forward_subsumption_resolution,[],[f1442,f4175]) ).

fof(f4225,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_75
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(resolution,[],[f4215,f696]) ).

fof(f4227,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_53
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(resolution,[],[f4215,f579]) ).

fof(f4228,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_35
    | ~ spl51_47
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(resolution,[],[f4215,f547]) ).

fof(f4229,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_47
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f4228]) ).

fof(f4230,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_53
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f4227]) ).

fof(f4232,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_75
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(avatar_contradiction_clause,[],[f4225]) ).

fof(f4240,plain,
    ( spl51_119
    | ~ spl51_31
    | ~ spl51_34
    | ~ spl51_120 ),
    inference(avatar_split_clause,[],[f1363,f930,f484,f472,f925]) ).

fof(f4243,plain,
    ( spl51_119
    | ~ spl51_34
    | ~ spl51_120
    | spl51_202 ),
    inference(avatar_split_clause,[],[f3758,f2259,f930,f484,f925]) ).

fof(f4245,plain,
    ( ! [X85] : ~ c2_1(X85)
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f4177,f2862]) ).

fof(f4248,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_130
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(resolution,[],[f4245,f985]) ).

fof(f4255,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_53
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(resolution,[],[f4245,f579]) ).

fof(f4258,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_53
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(avatar_contradiction_clause,[],[f4255]) ).

fof(f4265,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_130
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(avatar_contradiction_clause,[],[f4248]) ).

fof(f4269,plain,
    ( ! [X62] : ~ c1_1(X62)
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_40
    | ~ spl51_173
    | ~ spl51_180 ),
    inference(forward_subsumption_resolution,[],[f4012,f1383]) ).

fof(f4270,plain,
    ( ! [X7] : ~ c2_1(X7)
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f1442,f4177]) ).

fof(f4275,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_69
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(forward_subsumption_resolution,[],[f664,f4270]) ).

fof(f4276,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_69
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(avatar_contradiction_clause,[],[f4275]) ).

fof(f4286,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_33
    | ~ spl51_40
    | ~ spl51_83
    | ~ spl51_173
    | ~ spl51_180 ),
    inference(resolution,[],[f4269,f739]) ).

fof(f4293,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_40
    | ~ spl51_83
    | ~ spl51_173
    | ~ spl51_180 ),
    inference(avatar_contradiction_clause,[],[f4286]) ).

fof(f4314,plain,
    ( c2_1(a1224)
    | ~ spl51_95
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(resolution,[],[f1347,f802]) ).

fof(f4321,plain,
    ( c2_1(a1214)
    | ~ spl51_43
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(resolution,[],[f1347,f526]) ).

fof(f4324,plain,
    ( $false
    | spl51_94
    | ~ spl51_95
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(forward_subsumption_resolution,[],[f4314,f797]) ).

fof(f4325,plain,
    ( spl51_94
    | ~ spl51_95
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(avatar_contradiction_clause,[],[f4324]) ).

fof(f4342,plain,
    ( ~ c2_1(a1213)
    | ~ spl51_31
    | ~ spl51_48
    | ~ spl51_173 ),
    inference(resolution,[],[f1350,f552]) ).

fof(f4343,plain,
    ( ~ c2_1(a1214)
    | ~ spl51_31
    | ~ spl51_44
    | ~ spl51_173 ),
    inference(resolution,[],[f1350,f531]) ).

fof(f4344,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_133
    | ~ spl51_145
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f4343,f4321]) ).

fof(f4345,plain,
    ( ~ spl51_31
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_133
    | ~ spl51_145
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f4344]) ).

fof(f4346,plain,
    ( $false
    | ~ spl51_31
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_173 ),
    inference(forward_subsumption_resolution,[],[f4342,f547]) ).

fof(f4347,plain,
    ( ~ spl51_31
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_173 ),
    inference(avatar_contradiction_clause,[],[f4346]) ).

fof(f4352,plain,
    ( c2_1(a1232)
    | ~ spl51_87
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(resolution,[],[f760,f1347]) ).

fof(f4355,plain,
    ( $false
    | spl51_85
    | ~ spl51_87
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(forward_subsumption_resolution,[],[f4352,f750]) ).

fof(f4356,plain,
    ( spl51_85
    | ~ spl51_87
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(avatar_contradiction_clause,[],[f4355]) ).

fof(f4360,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15) )
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f1052,f1082]) ).

fof(f4372,plain,
    ( c0_1(a1205)
    | ~ spl51_130
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(resolution,[],[f1442,f985]) ).

fof(f4375,plain,
    ( c0_1(a1219)
    | ~ spl51_102
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(resolution,[],[f1442,f837]) ).

fof(f4389,plain,
    ( $false
    | spl51_100
    | ~ spl51_102
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(forward_subsumption_resolution,[],[f4375,f828]) ).

fof(f4390,plain,
    ( spl51_100
    | ~ spl51_102
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(avatar_contradiction_clause,[],[f4389]) ).

fof(f4391,plain,
    ( $false
    | spl51_129
    | ~ spl51_130
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(forward_subsumption_resolution,[],[f4372,f980]) ).

fof(f4392,plain,
    ( spl51_129
    | ~ spl51_130
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(avatar_contradiction_clause,[],[f4391]) ).

fof(f4394,plain,
    ( c2_1(a1210)
    | ~ spl51_121
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(resolution,[],[f4360,f937]) ).

fof(f4397,plain,
    ( c2_1(a1233)
    | ~ spl51_84
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(resolution,[],[f4360,f744]) ).

fof(f4400,plain,
    ( c2_1(a1267)
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(resolution,[],[f4360,f600]) ).

fof(f4404,plain,
    ( $false
    | spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f4400,f590]) ).

fof(f4405,plain,
    ( spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f4404]) ).

fof(f4406,plain,
    ( $false
    | spl51_82
    | ~ spl51_84
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(forward_subsumption_resolution,[],[f4397,f734]) ).

fof(f4407,plain,
    ( spl51_82
    | ~ spl51_84
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(avatar_contradiction_clause,[],[f4406]) ).

fof(f4408,plain,
    ( $false
    | ~ spl51_121
    | ~ spl51_145
    | ~ spl51_152
    | spl51_202 ),
    inference(forward_subsumption_resolution,[],[f4394,f2261]) ).

fof(f4409,plain,
    ( ~ spl51_121
    | ~ spl51_145
    | ~ spl51_152
    | spl51_202 ),
    inference(avatar_contradiction_clause,[],[f4408]) ).

cnf(s1,plain,
    ( spl51_1
    | spl51_2
    | spl51_3 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s4,plain,
    ( spl51_4
    | spl51_8
    | spl51_9 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s7,plain,
    ( spl51_1
    | spl51_13
    | spl51_14 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s8,plain,
    ( spl51_2
    | spl51_8
    | spl51_15 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s10,plain,
    ( spl51_18
    | spl51_19 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s11,plain,
    ( spl51_6
    | spl51_15
    | spl51_20 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s12,plain,
    ( spl51_10
    | spl51_21
    | spl51_22 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s13,plain,
    ( spl51_19
    | spl51_23
    | spl51_24 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s14,plain,
    ( spl51_15
    | spl51_24
    | spl51_25 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s15,plain,
    ( spl51_4
    | spl51_6
    | ~ spl51_26
    | spl51_27 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s16,plain,
    ( spl51_1
    | ~ spl51_26
    | spl51_28
    | spl51_29 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s17,plain,
    ( spl51_11
    | ~ spl51_26
    | spl51_29
    | spl51_30 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s18,plain,
    ( spl51_18
    | ~ spl51_26
    | spl51_28
    | spl51_31 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s20,plain,
    ( spl51_8
    | spl51_13
    | ~ spl51_26
    | spl51_34 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s22,plain,
    ( spl51_10
    | ~ spl51_26
    | spl51_30
    | spl51_35 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s23,plain,
    ( spl51_17
    | spl51_21
    | ~ spl51_26
    | spl51_36 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s24,plain,
    ( spl51_14
    | spl51_23
    | ~ spl51_26
    | spl51_37 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s25,plain,
    ( spl51_7
    | spl51_22
    | ~ spl51_26
    | spl51_37 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s27,plain,
    ( ~ spl51_26
    | spl51_32
    | spl51_39 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s28,plain,
    ( spl51_9
    | ~ spl51_26
    | spl51_28
    | spl51_40 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s29,plain,
    ( spl51_6
    | spl51_10
    | ~ spl51_26
    | spl51_41 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s30,plain,
    ( spl51_25
    | ~ spl51_26
    | spl51_41 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s31,plain,
    ( spl51_4
    | spl51_23
    | ~ spl51_26
    | spl51_42 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s33,plain,
    ( ~ spl51_25
    | spl51_43 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s34,plain,
    ( ~ spl51_25
    | spl51_44 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s35,plain,
    ( ~ spl51_25
    | spl51_45 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s37,plain,
    ( ~ spl51_9
    | spl51_46 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s38,plain,
    ( ~ spl51_9
    | spl51_47 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s39,plain,
    ( ~ spl51_9
    | spl51_48 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s41,plain,
    ( ~ spl51_24
    | spl51_49 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s42,plain,
    ( ~ spl51_24
    | spl51_50 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s43,plain,
    ( ~ spl51_24
    | spl51_51 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s45,plain,
    ( ~ spl51_19
    | spl51_52 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s46,plain,
    ( ~ spl51_19
    | spl51_53 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s47,plain,
    ( ~ spl51_19
    | spl51_54 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s49,plain,
    ( ~ spl51_15
    | ~ spl51_55 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s50,plain,
    ( ~ spl51_15
    | ~ spl51_56 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s51,plain,
    ( ~ spl51_15
    | spl51_57 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s53,plain,
    ( ~ spl51_1
    | ~ spl51_58 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s54,plain,
    ( ~ spl51_1
    | ~ spl51_59 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s55,plain,
    ( ~ spl51_1
    | ~ spl51_60 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s56,plain,
    ( ~ spl51_1
    | spl51_26 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s57,plain,
    ( ~ spl51_11
    | ~ spl51_61 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s59,plain,
    ( ~ spl51_11
    | spl51_63 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s61,plain,
    ( ~ spl51_18
    | ~ spl51_64 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s62,plain,
    ( ~ spl51_18
    | ~ spl51_65 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s63,plain,
    ( ~ spl51_18
    | spl51_66 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s65,plain,
    ( ~ spl51_13
    | ~ spl51_67 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s66,plain,
    ( ~ spl51_13
    | spl51_68 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s67,plain,
    ( ~ spl51_13
    | spl51_69 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s69,plain,
    ( ~ spl51_8
    | ~ spl51_70 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s70,plain,
    ( ~ spl51_8
    | ~ spl51_71 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s71,plain,
    ( ~ spl51_8
    | spl51_72 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s73,plain,
    ( ~ spl51_3
    | ~ spl51_73 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s74,plain,
    ( ~ spl51_3
    | spl51_74 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s75,plain,
    ( ~ spl51_3
    | spl51_75 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s76,plain,
    ( ~ spl51_3
    | spl51_26 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s77,plain,
    ( ~ spl51_17
    | ~ spl51_76 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s78,plain,
    ( ~ spl51_17
    | spl51_77 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s79,plain,
    ( ~ spl51_17
    | spl51_78 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s81,plain,
    ( ~ spl51_14
    | ~ spl51_79 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s83,plain,
    ( ~ spl51_14
    | spl51_81 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s85,plain,
    ( ~ spl51_22
    | ~ spl51_82 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s86,plain,
    ( ~ spl51_22
    | spl51_83 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s87,plain,
    ( ~ spl51_22
    | spl51_84 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s89,plain,
    ( ~ spl51_2
    | ~ spl51_85 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s90,plain,
    ( ~ spl51_2
    | ~ spl51_86 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s91,plain,
    ( ~ spl51_2
    | spl51_87 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s92,plain,
    ( ~ spl51_2
    | spl51_26 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s93,plain,
    ( ~ spl51_30
    | ~ spl51_88 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s95,plain,
    ( ~ spl51_30
    | spl51_90 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s96,plain,
    ( ~ spl51_16
    | ~ spl51_91 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s98,plain,
    ( ~ spl51_16
    | spl51_93 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s100,plain,
    ( ~ spl51_32
    | ~ spl51_94 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s101,plain,
    ( ~ spl51_32
    | spl51_95 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s102,plain,
    ( ~ spl51_32
    | spl51_96 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s103,plain,
    ( ~ spl51_5
    | ~ spl51_97 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s104,plain,
    ( ~ spl51_5
    | ~ spl51_98 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s105,plain,
    ( ~ spl51_5
    | spl51_99 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s107,plain,
    ( ~ spl51_100
    | ~ spl51_101 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s108,plain,
    ( ~ spl51_101
    | spl51_102 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s109,plain,
    ( ~ spl51_101
    | spl51_103 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s110,plain,
    ( ~ spl51_12
    | ~ spl51_104 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s111,plain,
    ( ~ spl51_12
    | ~ spl51_105 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s112,plain,
    ( ~ spl51_12
    | ~ spl51_106 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s114,plain,
    ( ~ spl51_6
    | ~ spl51_107 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s115,plain,
    ( ~ spl51_6
    | ~ spl51_108 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s116,plain,
    ( ~ spl51_6
    | ~ spl51_109 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s118,plain,
    ( ~ spl51_10
    | ~ spl51_110 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s119,plain,
    ( ~ spl51_10
    | spl51_111 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s120,plain,
    ( ~ spl51_10
    | spl51_112 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s122,plain,
    ( ~ spl51_21
    | ~ spl51_113 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s123,plain,
    ( ~ spl51_21
    | ~ spl51_114 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s124,plain,
    ( ~ spl51_21
    | spl51_115 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s126,plain,
    ( ~ spl51_7
    | ~ spl51_116 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s128,plain,
    ( ~ spl51_7
    | spl51_118 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s130,plain,
    ( ~ spl51_20
    | ~ spl51_119 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s131,plain,
    ( ~ spl51_20
    | spl51_120 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s132,plain,
    ( ~ spl51_20
    | spl51_121 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s134,plain,
    ( ~ spl51_4
    | ~ spl51_122 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s135,plain,
    ( ~ spl51_4
    | ~ spl51_123 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s136,plain,
    ( ~ spl51_4
    | ~ spl51_124 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s138,plain,
    ( ~ spl51_23
    | ~ spl51_125 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s139,plain,
    ( ~ spl51_23
    | spl51_126 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s140,plain,
    ( ~ spl51_23
    | spl51_127 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s142,plain,
    ( ~ spl51_28
    | ~ spl51_128 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s143,plain,
    ( ~ spl51_28
    | ~ spl51_129 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s144,plain,
    ( ~ spl51_28
    | spl51_130 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s145,plain,
    ( spl51_40
    | spl51_131 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s146,plain,
    ( spl51_42
    | spl51_132 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s147,plain,
    ( ~ spl51_26
    | ~ spl51_131
    | ~ spl51_132
    | spl51_133 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s148,plain,
    ( spl51_42
    | spl51_134 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s149,plain,
    ( spl51_39
    | spl51_135 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s150,plain,
    ( ~ spl51_26
    | ~ spl51_134
    | ~ spl51_135
    | spl51_136 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s151,plain,
    ( spl51_137
    | spl51_138 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s152,plain,
    ( spl51_42
    | spl51_139 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s153,plain,
    ( ~ spl51_26
    | ~ spl51_137
    | ~ spl51_139
    | spl51_140 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s154,plain,
    ( spl51_141
    | spl51_142 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s155,plain,
    ( spl51_24
    | ~ spl51_26
    | spl51_37
    | ~ spl51_141 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s156,plain,
    ( spl51_41
    | spl51_143 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s157,plain,
    ( spl51_144
    | spl51_145 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s158,plain,
    ( ~ spl51_26
    | ~ spl51_143
    | ~ spl51_144
    | spl51_146 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s161,plain,
    ( spl51_148
    | spl51_149 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s162,plain,
    ( spl51_20
    | ~ spl51_26
    | ~ spl51_148
    | spl51_150 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s163,plain,
    ( spl51_151
    | spl51_152 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s164,plain,
    ( spl51_153
    | spl51_154 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s165,plain,
    ( ~ spl51_26
    | spl51_149
    | ~ spl51_151
    | ~ spl51_153 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s168,plain,
    ( spl51_156
    | spl51_157 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s169,plain,
    ( spl51_27
    | spl51_158 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s170,plain,
    ( ~ spl51_26
    | spl51_149
    | ~ spl51_156
    | ~ spl51_158 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s171,plain,
    ( spl51_149
    | spl51_159 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s172,plain,
    ( spl51_21
    | ~ spl51_26
    | spl51_27
    | ~ spl51_159 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s173,plain,
    ( spl51_33
    | spl51_160 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s174,plain,
    ( spl51_9
    | ~ spl51_26
    | spl51_41
    | ~ spl51_160 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s175,plain,
    ( spl51_27
    | spl51_161 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s176,plain,
    ( spl51_41
    | spl51_162 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s177,plain,
    ( ~ spl51_26
    | spl51_31
    | ~ spl51_161
    | ~ spl51_162 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s178,plain,
    ( spl51_40
    | spl51_163 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s179,plain,
    ( spl51_12
    | ~ spl51_26
    | ~ spl51_163
    | spl51_164 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s180,plain,
    ( spl51_36
    | spl51_165 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s181,plain,
    ( spl51_19
    | ~ spl51_26
    | spl51_164
    | ~ spl51_165 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s182,plain,
    ( spl51_133
    | spl51_166 ),
    inference(sat_conversion,[],[f1155]) ).

cnf(s183,plain,
    ( spl51_167
    | spl51_168 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s184,plain,
    ( ~ spl51_26
    | spl51_29
    | ~ spl51_166
    | ~ spl51_167 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s185,plain,
    ( spl51_152
    | spl51_169 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s186,plain,
    ( spl51_40
    | spl51_170 ),
    inference(sat_conversion,[],[f1174]) ).

cnf(s187,plain,
    ( ~ spl51_26
    | spl51_36
    | ~ spl51_169
    | ~ spl51_170 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s188,plain,
    ( spl51_154
    | spl51_171 ),
    inference(sat_conversion,[],[f1180]) ).

cnf(s189,plain,
    ( ~ spl51_26
    | spl51_40
    | spl51_101
    | ~ spl51_171 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s190,plain,
    ( spl51_172
    | spl51_173 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s191,plain,
    ( ~ spl51_26
    | spl51_40
    | ~ spl51_172 ),
    inference(sat_conversion,[],[f1190]) ).

cnf(s192,plain,
    ( spl51_39
    | spl51_174 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s193,plain,
    ( ~ spl51_26
    | spl51_28
    | spl51_36
    | ~ spl51_174 ),
    inference(sat_conversion,[],[f1196]) ).

cnf(s194,plain,
    ( spl51_39
    | spl51_175 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s195,plain,
    ( spl51_5
    | ~ spl51_26
    | spl51_157
    | ~ spl51_175 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s196,plain,
    ( spl51_173
    | spl51_176 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s197,plain,
    ( spl51_39
    | spl51_177 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s198,plain,
    ( ~ spl51_26
    | spl51_27
    | ~ spl51_176
    | ~ spl51_177 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s199,plain,
    ( spl51_140
    | spl51_178 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s200,plain,
    ( spl51_23
    | ~ spl51_26
    | spl51_33
    | ~ spl51_178 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s201,plain,
    ( spl51_179
    | spl51_180 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s202,plain,
    ( spl51_20
    | ~ spl51_26
    | spl51_150
    | ~ spl51_179 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s203,plain,
    ( spl51_31
    | spl51_181 ),
    inference(sat_conversion,[],[f1233]) ).

cnf(s204,plain,
    ( ~ spl51_26
    | spl51_32
    | spl51_180
    | ~ spl51_181 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s205,plain,
    ( spl51_38
    | spl51_182 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s206,plain,
    ( spl51_16
    | ~ spl51_26
    | spl51_145
    | ~ spl51_182 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s207,plain,
    ( spl51_152
    | spl51_183 ),
    inference(sat_conversion,[],[f1245]) ).

cnf(s208,plain,
    ( spl51_5
    | ~ spl51_26
    | spl51_136
    | ~ spl51_183 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s209,plain,
    ( spl51_34
    | spl51_184 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s210,plain,
    ( spl51_185
    | spl51_186 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s211,plain,
    ( ~ spl51_26
    | spl51_136
    | ~ spl51_184
    | ~ spl51_185 ),
    inference(sat_conversion,[],[f1260]) ).

cnf(s212,plain,
    ( spl51_136
    | spl51_187 ),
    inference(sat_conversion,[],[f1265]) ).

cnf(s213,plain,
    ( spl51_2
    | ~ spl51_26
    | spl51_157
    | ~ spl51_187 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s214,plain,
    ( spl51_138
    | spl51_188 ),
    inference(sat_conversion,[],[f1271]) ).

cnf(s215,plain,
    ( ~ spl51_26
    | spl51_35
    | spl51_101
    | ~ spl51_188 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s216,plain,
    ( spl51_168
    | spl51_189 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s217,plain,
    ( spl51_2
    | ~ spl51_26
    | spl51_35
    | ~ spl51_189 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s218,plain,
    ( spl51_145
    | spl51_190 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s219,plain,
    ( spl51_10
    | ~ spl51_26
    | ~ spl51_190
    | spl51_191 ),
    inference(sat_conversion,[],[f1287]) ).

cnf(s222,plain,
    ( spl51_33
    | spl51_194 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s223,plain,
    ( spl51_8
    | ~ spl51_26
    | spl51_193
    | ~ spl51_194 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s224,plain,
    ( spl51_152
    | spl51_195 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s225,plain,
    ( ~ spl51_26
    | spl51_29
    | ~ spl51_195 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s230,plain,
    ( spl51_33
    | spl51_198 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s231,plain,
    ( spl51_5
    | ~ spl51_26
    | spl51_154
    | ~ spl51_198 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s232,plain,
    ( spl51_145
    | spl51_199 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s233,plain,
    ( spl51_20
    | ~ spl51_26
    | spl51_173
    | ~ spl51_199 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s234,plain,
    ( spl51_173
    | spl51_200 ),
    inference(sat_conversion,[],[f1337]) ).

cnf(s235,plain,
    ( spl51_23
    | ~ spl51_26
    | spl51_154
    | ~ spl51_200 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s236,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(sat_conversion,[],[f1356]) ).

cnf(s241,plain,
    ( ~ spl51_37
    | ~ spl51_38
    | spl51_108
    | spl51_109 ),
    inference(sat_conversion,[],[f1378]) ).

cnf(s312,plain,
    ( ~ spl51_27
    | ~ spl51_77
    | ~ spl51_78
    | ~ spl51_138 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s313,plain,
    ( ~ spl51_27
    | ~ spl51_52
    | ~ spl51_54
    | ~ spl51_138 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s338,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | spl51_113
    | ~ spl51_115 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s366,plain,
    ( ~ spl51_29
    | ~ spl51_111
    | ~ spl51_112
    | ~ spl51_140 ),
    inference(sat_conversion,[],[f1717]) ).

cnf(s382,plain,
    ( ~ spl51_33
    | spl51_91
    | ~ spl51_93
    | ~ spl51_136 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s466,plain,
    ( ~ spl51_31
    | ~ spl51_49
    | ~ spl51_50
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f2048]) ).

cnf(s467,plain,
    ( ~ spl51_31
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s483,plain,
    ( ~ spl51_27
    | spl51_55
    | ~ spl51_57
    | ~ spl51_138
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s490,plain,
    ( spl51_55
    | spl51_56
    | ~ spl51_57
    | ~ spl51_136 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s504,plain,
    ( ~ spl51_36
    | spl51_88
    | ~ spl51_90
    | ~ spl51_138 ),
    inference(sat_conversion,[],[f2246]) ).

cnf(s513,plain,
    ( ~ spl51_29
    | ~ spl51_49
    | ~ spl51_50
    | ~ spl51_51 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s515,plain,
    ( ~ spl51_29
    | ~ spl51_120
    | ~ spl51_121
    | ~ spl51_202 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s516,plain,
    ( ~ spl51_31
    | spl51_119
    | ~ spl51_120
    | ~ spl51_202 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s533,plain,
    ( ~ spl51_42
    | spl51_85
    | ~ spl51_87
    | ~ spl51_145
    | ~ spl51_164 ),
    inference(sat_conversion,[],[f2358]) ).

cnf(s557,plain,
    ( ~ spl51_34
    | spl51_94
    | ~ spl51_96
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f2452]) ).

cnf(s563,plain,
    ( ~ spl51_46
    | ~ spl51_47
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s564,plain,
    ( ~ spl51_52
    | ~ spl51_53
    | ~ spl51_173
    | ~ spl51_193 ),
    inference(sat_conversion,[],[f2519]) ).

cnf(s570,plain,
    ( spl51_73
    | ~ spl51_74
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s571,plain,
    ( spl51_76
    | ~ spl51_77
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s586,plain,
    ( spl51_61
    | ~ spl51_63
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s589,plain,
    ( spl51_119
    | ~ spl51_121
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f2613]) ).

cnf(s590,plain,
    ( spl51_125
    | ~ spl51_127
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f2615]) ).

cnf(s604,plain,
    ( ~ spl51_41
    | spl51_85
    | spl51_86
    | ~ spl51_133 ),
    inference(sat_conversion,[],[f2665]) ).

cnf(s606,plain,
    ( ~ spl51_41
    | spl51_122
    | spl51_124
    | ~ spl51_133 ),
    inference(sat_conversion,[],[f2669]) ).

cnf(s608,plain,
    ( spl51_79
    | ~ spl51_81
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f2697]) ).

cnf(s638,plain,
    ( ~ spl51_41
    | spl51_58
    | spl51_59
    | spl51_60 ),
    inference(sat_conversion,[],[f2769]) ).

cnf(s667,plain,
    ( ~ spl51_41
    | spl51_70
    | spl51_71
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f2859]) ).

cnf(s668,plain,
    ( ~ spl51_36
    | spl51_56
    | ~ spl51_57
    | ~ spl51_138 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s671,plain,
    ( ~ spl51_41
    | spl51_107
    | spl51_108
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f2874]) ).

cnf(s696,plain,
    ( ~ spl51_52
    | ~ spl51_53
    | ~ spl51_138
    | ~ spl51_149
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s743,plain,
    ( ~ spl51_95
    | ~ spl51_96
    | ~ spl51_168
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f3083]) ).

cnf(s744,plain,
    ( ~ spl51_33
    | spl51_82
    | ~ spl51_84
    | ~ spl51_136 ),
    inference(sat_conversion,[],[f3089]) ).

cnf(s756,plain,
    ( ~ spl51_41
    | spl51_82
    | ~ spl51_83
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f3161]) ).

cnf(s757,plain,
    ( ~ spl51_41
    | spl51_94
    | ~ spl51_96
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f3163]) ).

cnf(s758,plain,
    ( ~ spl51_41
    | spl51_116
    | ~ spl51_118
    | ~ spl51_152
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f3165]) ).

cnf(s766,plain,
    ( spl51_128
    | spl51_129
    | ~ spl51_142
    | ~ spl51_149 ),
    inference(sat_conversion,[],[f3195]) ).

cnf(s767,plain,
    ( ~ spl51_37
    | ~ spl51_41
    | spl51_55
    | spl51_56
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f3217]) ).

cnf(s770,plain,
    ( ~ spl51_42
    | spl51_122
    | spl51_123
    | spl51_124 ),
    inference(sat_conversion,[],[f3249]) ).

cnf(s771,plain,
    ( spl51_104
    | spl51_105
    | spl51_106
    | ~ spl51_142 ),
    inference(sat_conversion,[],[f3269]) ).

cnf(s774,plain,
    ( ~ spl51_42
    | spl51_85
    | spl51_86
    | ~ spl51_164 ),
    inference(sat_conversion,[],[f3293]) ).

cnf(s779,plain,
    ( ~ spl51_39
    | ~ spl51_41
    | spl51_100
    | ~ spl51_102
    | ~ spl51_150 ),
    inference(sat_conversion,[],[f3304]) ).

cnf(s783,plain,
    ( ~ spl51_41
    | spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f3318]) ).

cnf(s795,plain,
    ( ~ spl51_29
    | ~ spl51_40
    | spl51_110
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(sat_conversion,[],[f3350]) ).

cnf(s796,plain,
    ( ~ spl51_31
    | spl51_110
    | ~ spl51_111
    | ~ spl51_112 ),
    inference(sat_conversion,[],[f3353]) ).

cnf(s800,plain,
    ( ~ spl51_29
    | ~ spl51_53
    | ~ spl51_54
    | ~ spl51_191 ),
    inference(sat_conversion,[],[f3408]) ).

cnf(s804,plain,
    ( ~ spl51_29
    | ~ spl51_126
    | ~ spl51_127
    | ~ spl51_191 ),
    inference(sat_conversion,[],[f3415]) ).

cnf(s807,plain,
    ( ~ spl51_29
    | ~ spl51_42
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45
    | ~ spl51_136
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f3467]) ).

cnf(s817,plain,
    ( ~ spl51_29
    | ~ spl51_102
    | ~ spl51_103
    | ~ spl51_140 ),
    inference(sat_conversion,[],[f3509]) ).

cnf(s841,plain,
    ( ~ spl51_42
    | spl51_108
    | spl51_109
    | ~ spl51_136 ),
    inference(sat_conversion,[],[f3572]) ).

cnf(s859,plain,
    ( ~ spl51_43
    | ~ spl51_45
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f3629]) ).

cnf(s860,plain,
    ( ~ spl51_52
    | ~ spl51_54
    | ~ spl51_145
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f3631]) ).

cnf(s864,plain,
    ( ~ spl51_36
    | spl51_97
    | spl51_98
    | ~ spl51_142 ),
    inference(sat_conversion,[],[f3649]) ).

cnf(s868,plain,
    ( ~ spl51_27
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_45 ),
    inference(sat_conversion,[],[f3698]) ).

cnf(s870,plain,
    ( ~ spl51_41
    | spl51_107
    | spl51_108
    | spl51_203 ),
    inference(sat_conversion,[],[f3705]) ).

cnf(s871,plain,
    ( ~ spl51_42
    | spl51_108
    | spl51_109
    | spl51_203 ),
    inference(sat_conversion,[],[f3709]) ).

cnf(s872,plain,
    ( ~ spl51_41
    | spl51_70
    | spl51_71
    | spl51_208 ),
    inference(sat_conversion,[],[f3711]) ).

cnf(s873,plain,
    ( ~ spl51_36
    | spl51_61
    | ~ spl51_63
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f3728]) ).

cnf(s874,plain,
    ( ~ spl51_36
    | spl51_79
    | ~ spl51_81
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f3730]) ).

cnf(s878,plain,
    ( ~ spl51_36
    | spl51_119
    | ~ spl51_121
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f3736]) ).

cnf(s879,plain,
    ( ~ spl51_36
    | spl51_125
    | ~ spl51_127
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f3738]) ).

cnf(s880,plain,
    ( ~ spl51_34
    | spl51_70
    | spl51_71
    | ~ spl51_72 ),
    inference(sat_conversion,[],[f3761]) ).

cnf(s883,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_120
    | ~ spl51_121 ),
    inference(sat_conversion,[],[f3766]) ).

cnf(s884,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_83
    | ~ spl51_84 ),
    inference(sat_conversion,[],[f3767]) ).

cnf(s888,plain,
    ( ~ spl51_29
    | ~ spl51_33
    | ~ spl51_72
    | ~ spl51_208 ),
    inference(sat_conversion,[],[f3771]) ).

cnf(s895,plain,
    ( ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(sat_conversion,[],[f3818]) ).

cnf(s898,plain,
    ( spl51_67
    | ~ spl51_68
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(sat_conversion,[],[f3824]) ).

cnf(s899,plain,
    ( spl51_86
    | ~ spl51_87
    | ~ spl51_149
    | ~ spl51_180 ),
    inference(sat_conversion,[],[f3826]) ).

cnf(s905,plain,
    ( ~ spl51_74
    | ~ spl51_75
    | ~ spl51_150
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f3863]) ).

cnf(s909,plain,
    ( ~ spl51_35
    | spl51_97
    | spl51_98
    | ~ spl51_99 ),
    inference(sat_conversion,[],[f3885]) ).

cnf(s913,plain,
    ( spl51_64
    | spl51_65
    | ~ spl51_66
    | ~ spl51_149 ),
    inference(sat_conversion,[],[f3956]) ).

cnf(s915,plain,
    ( ~ spl51_36
    | spl51_107
    | spl51_109
    | ~ spl51_203 ),
    inference(sat_conversion,[],[f3964]) ).

cnf(s917,plain,
    ( ~ spl51_29
    | ~ spl51_46
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_150 ),
    inference(sat_conversion,[],[f3989]) ).

cnf(s918,plain,
    ( spl51_67
    | ~ spl51_68
    | ~ spl51_69
    | ~ spl51_150 ),
    inference(sat_conversion,[],[f3991]) ).

cnf(s923,plain,
    ( ~ spl51_40
    | spl51_119
    | ~ spl51_120
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f4004]) ).

cnf(s936,plain,
    ( ~ spl51_37
    | spl51_85
    | ~ spl51_87
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f4053]) ).

cnf(s938,plain,
    ( ~ spl51_37
    | spl51_94
    | ~ spl51_95
    | ~ spl51_168 ),
    inference(sat_conversion,[],[f4057]) ).

cnf(s940,plain,
    ( ~ spl51_40
    | spl51_70
    | ~ spl51_72
    | ~ spl51_186 ),
    inference(sat_conversion,[],[f4073]) ).

cnf(s944,plain,
    ( ~ spl51_39
    | spl51_97
    | ~ spl51_99
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f4100]) ).

cnf(s946,plain,
    ( ~ spl51_39
    | spl51_125
    | ~ spl51_126
    | ~ spl51_157 ),
    inference(sat_conversion,[],[f4104]) ).

cnf(s948,plain,
    ( ~ spl51_39
    | spl51_113
    | spl51_114
    | ~ spl51_115 ),
    inference(sat_conversion,[],[f4155]) ).

cnf(s949,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | spl51_125
    | ~ spl51_126 ),
    inference(sat_conversion,[],[f4157]) ).

cnf(s960,plain,
    ( ~ spl51_42
    | spl51_128
    | spl51_129
    | ~ spl51_146 ),
    inference(sat_conversion,[],[f4213]) ).

cnf(s962,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_47
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f4229]) ).

cnf(s963,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_53
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f4230]) ).

cnf(s965,plain,
    ( ~ spl51_31
    | ~ spl51_35
    | ~ spl51_75
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_154 ),
    inference(sat_conversion,[],[f4232]) ).

cnf(s972,plain,
    ( ~ spl51_31
    | ~ spl51_34
    | spl51_119
    | ~ spl51_120 ),
    inference(sat_conversion,[],[f4240]) ).

cnf(s973,plain,
    ( ~ spl51_34
    | spl51_119
    | ~ spl51_120
    | spl51_202 ),
    inference(sat_conversion,[],[f4243]) ).

cnf(s977,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_53
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(sat_conversion,[],[f4258]) ).

cnf(s984,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_39
    | ~ spl51_130
    | ~ spl51_150
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(sat_conversion,[],[f4265]) ).

cnf(s987,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_69
    | ~ spl51_140
    | ~ spl51_146
    | ~ spl51_173
    | ~ spl51_191 ),
    inference(sat_conversion,[],[f4276]) ).

cnf(s992,plain,
    ( ~ spl51_31
    | ~ spl51_33
    | ~ spl51_40
    | ~ spl51_83
    | ~ spl51_173
    | ~ spl51_180 ),
    inference(sat_conversion,[],[f4293]) ).

cnf(s998,plain,
    ( spl51_94
    | ~ spl51_95
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(sat_conversion,[],[f4325]) ).

cnf(s1003,plain,
    ( ~ spl51_31
    | ~ spl51_43
    | ~ spl51_44
    | ~ spl51_133
    | ~ spl51_145
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f4345]) ).

cnf(s1004,plain,
    ( ~ spl51_31
    | ~ spl51_47
    | ~ spl51_48
    | ~ spl51_173 ),
    inference(sat_conversion,[],[f4347]) ).

cnf(s1006,plain,
    ( spl51_85
    | ~ spl51_87
    | ~ spl51_133
    | ~ spl51_145 ),
    inference(sat_conversion,[],[f4356]) ).

cnf(s1010,plain,
    ( spl51_100
    | ~ spl51_102
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(sat_conversion,[],[f4390]) ).

cnf(s1011,plain,
    ( spl51_129
    | ~ spl51_130
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(sat_conversion,[],[f4392]) ).

cnf(s1012,plain,
    ( spl51_55
    | ~ spl51_57
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f4405]) ).

cnf(s1013,plain,
    ( spl51_82
    | ~ spl51_84
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(sat_conversion,[],[f4407]) ).

cnf(s1014,plain,
    ( ~ spl51_121
    | ~ spl51_145
    | ~ spl51_152
    | spl51_202 ),
    inference(sat_conversion,[],[f4409]) ).

cnf(s1015,plain,
    ( ~ spl51_11
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(rat,[],[s586,s57,s59]) ).

cnf(s1016,plain,
    ( ~ spl51_14
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(rat,[],[s608,s81,s83]) ).

cnf(s1017,plain,
    ( ~ spl51_23
    | ~ spl51_152
    | ~ spl51_157 ),
    inference(rat,[],[s590,s138,s140]) ).

cnf(s1018,plain,
    ( ~ spl51_25
    | ~ spl51_27 ),
    inference(rat,[],[s868,s33,s34,s35]) ).

cnf(s1019,plain,
    ( ~ spl51_20
    | ~ spl51_157
    | ~ spl51_152 ),
    inference(rat,[],[s589,s130,s132]) ).

cnf(s1020,plain,
    ( ~ spl51_157
    | ~ spl51_152
    | ~ spl51_41
    | spl51_6
    | ~ spl51_26 ),
    inference(rat,[],[s767,s49,s50,s11,s1019,s24,s1017,s1016]) ).

cnf(s1021,plain,
    ( ~ spl51_8
    | ~ spl51_152
    | ~ spl51_41 ),
    inference(rat,[],[s667,s69,s70]) ).

cnf(s1022,plain,
    ( ~ spl51_152
    | ~ spl51_41
    | spl51_6
    | ~ spl51_26
    | spl51_2 ),
    inference(rat,[],[s50,s490,s49,s51,s8,s1021,s212,s213,s1020]) ).

cnf(s1023,plain,
    ( ~ spl51_15
    | spl51_56
    | ~ spl51_136 ),
    inference(rat,[],[s490,s49,s51]) ).

cnf(s1024,plain,
    ( ~ spl51_24
    | ~ spl51_29 ),
    inference(rat,[],[s513,s41,s42,s43]) ).

cnf(s1025,plain,
    ( spl51_6
    | spl51_5
    | spl51_4
    | ~ spl51_26
    | spl51_2 ),
    inference(rat,[],[s1023,s50,s14,s1024,s208,s225,s207,s224,s1022,s30,s1018,s15]) ).

cnf(s1026,plain,
    ( ~ spl51_157
    | ~ spl51_152
    | ~ spl51_26
    | spl51_1 ),
    inference(rat,[],[s898,s161,s201,s162,s202,s918,s65,s66,s67,s7,s1019,s1016]) ).

cnf(s1027,plain,
    ( ~ spl51_20
    | ~ spl51_145
    | ~ spl51_31
    | ~ spl51_152 ),
    inference(rat,[],[s516,s1014,s130,s131,s132]) ).

cnf(s1028,plain,
    ( ~ spl51_13
    | spl51_20
    | ~ spl51_149
    | ~ spl51_26 ),
    inference(rat,[],[s201,s202,s898,s918,s65,s66,s67]) ).

cnf(s1029,plain,
    ( ~ spl51_10
    | ~ spl51_31 ),
    inference(rat,[],[s796,s118,s119,s120]) ).

cnf(s1030,plain,
    ( ~ spl51_16
    | ~ spl51_33
    | ~ spl51_136 ),
    inference(rat,[],[s382,s96,s98]) ).

cnf(s1031,plain,
    ( ~ spl51_22
    | ~ spl51_145
    | ~ spl51_152 ),
    inference(rat,[],[s1013,s85,s87]) ).

cnf(s1032,plain,
    ( ~ spl51_152
    | spl51_5
    | spl51_4
    | spl51_2
    | spl51_1 ),
    inference(rat,[],[s948,s122,s123,s124,s12,s1031,s1029,s157,s158,s1010,s107,s108,s215,s949,s138,s139,s153,s31,s152,s151,s214,s841,s570,s194,s212,s170,s195,s213,s168,s1026,s177,s169,s175,s1018,s30,s156,s176,s671,s74,s73,s116,s115,s114,s1025,s76,s1]) ).

cnf(s1033,plain,
    ( spl51_41
    | ~ spl51_161
    | spl51_191
    | ~ spl51_29
    | spl51_5
    | ~ spl51_26 ),
    inference(rat,[],[s859,s231,s218,s230,s219,s236,s1029,s33,s34,s35,s177,s30,s176]) ).

cnf(s1034,plain,
    ( ~ spl51_10
    | ~ spl51_140
    | ~ spl51_29 ),
    inference(rat,[],[s366,s119,s120]) ).

cnf(s1035,plain,
    ( ~ spl51_25
    | ~ spl51_33
    | ~ spl51_29 ),
    inference(rat,[],[s236,s34,s35]) ).

cnf(s1036,plain,
    ( ~ spl51_15
    | ~ spl51_136 ),
    inference(rat,[],[s1023,s50]) ).

cnf(s1037,plain,
    ( spl51_5
    | spl51_4
    | spl51_2
    | spl51_1 ),
    inference(rat,[],[s870,s915,s1033,s187,s175,s186,s1018,s795,s118,s119,s120,s219,s218,s859,s231,s230,s1035,s33,s35,s14,s1036,s804,s139,s140,s31,s841,s1024,s208,s225,s185,s207,s224,s1032,s114,s115,s116,s1025,s76,s1]) ).

cnf(s1038,plain,
    ( ~ spl51_152
    | spl51_4
    | spl51_2
    | spl51_1 ),
    inference(rat,[],[s948,s122,s123,s124,s12,s1031,s197,s157,s198,s158,s196,s1010,s467,s107,s108,s109,s153,s215,s152,s151,s214,s841,s570,s1029,s115,s116,s170,s177,s15,s169,s175,s1018,s30,s156,s176,s1021,s8,s1036,s212,s213,s168,s1026,s76,s74,s73,s1,s909,s103,s104,s105,s1037]) ).

cnf(s1040,plain,
    ( spl51_138
    | ~ spl51_139
    | ~ spl51_29
    | spl51_35
    | ~ spl51_26 ),
    inference(rat,[],[s817,s108,s109,s153,s215,s151,s214]) ).

cnf(s1041,plain,
    ( ~ spl51_136
    | ~ spl51_29
    | ~ spl51_168
    | spl51_35
    | spl51_4
    | ~ spl51_3 ),
    inference(rat,[],[s743,s196,s101,s102,s198,s27,s197,s946,s168,s170,s570,s1040,s138,s139,s31,s152,s169,s807,s1018,s33,s34,s35,s14,s1036,s76,s74,s73,s1024]) ).

cnf(s1042,plain,
    ( spl51_4
    | spl51_2
    | spl51_1 ),
    inference(rat,[],[s923,s130,s131,s162,s905,s164,s161,s165,s766,s142,s143,s193,s864,s210,s154,s211,s191,s155,s209,s190,s938,s557,s743,s100,s101,s102,s27,s192,s944,s213,s212,s1041,s1024,s225,s163,s224,s1038,s216,s217,s909,s103,s104,s105,s1037,s76,s75,s74,s1]) ).

cnf(s1043,plain,
    ( ~ spl51_21
    | ~ spl51_39 ),
    inference(rat,[],[s948,s122,s123,s124]) ).

cnf(s1044,plain,
    ( spl51_5
    | ~ spl51_140
    | ~ spl51_188
    | ~ spl51_31
    | ~ spl51_143
    | ~ spl51_136
    | spl51_157
    | ~ spl51_152
    | ~ spl51_3 ),
    inference(rat,[],[s1010,s107,s108,s215,s965,s231,s158,s230,s157,s744,s1031,s85,s87,s12,s1043,s194,s195,s76,s75,s1029]) ).

cnf(s1045,plain,
    ( ~ spl51_152
    | spl51_2
    | spl51_1 ),
    inference(rat,[],[s12,s1043,s1031,s197,s157,s198,s158,s196,s1010,s467,s107,s108,s109,s215,s909,s103,s104,s105,s1044,s153,s151,s214,s570,s1029,s170,s177,s169,s175,s1018,s30,s156,s176,s1021,s8,s1036,s212,s213,s168,s1026,s76,s74,s73,s1,s152,s770,s134,s135,s136,s1042]) ).

cnf(s1046,plain,
    ( spl51_41
    | ~ spl51_140
    | ~ spl51_35
    | ~ spl51_144
    | ~ spl51_154
    | ~ spl51_160
    | ~ spl51_161
    | ~ spl51_26 ),
    inference(rat,[],[s962,s38,s158,s177,s174,s156,s176]) ).

cnf(s1047,plain,
    ( ~ spl51_101
    | ~ spl51_140
    | ~ spl51_29 ),
    inference(rat,[],[s817,s108,s109]) ).

cnf(s1048,plain,
    ( ~ spl51_19
    | ~ spl51_191
    | ~ spl51_29 ),
    inference(rat,[],[s800,s46,s47]) ).

cnf(s1049,plain,
    ( ~ spl51_191
    | ~ spl51_29 ),
    inference(rat,[],[s804,s139,s140,s13,s1048,s1024]) ).

cnf(s1050,plain,
    ( spl51_5
    | ~ spl51_25
    | ~ spl51_29
    | ~ spl51_132
    | spl51_122
    | spl51_124
    | ~ spl51_26 ),
    inference(rat,[],[s145,s795,s147,s118,s119,s120,s606,s219,s1033,s218,s859,s231,s1049,s35,s33,s175,s1018,s230,s1035]) ).

cnf(s1051,plain,
    ( ~ spl51_25
    | ~ spl51_29
    | ~ spl51_132
    | ~ spl51_139
    | spl51_122
    | spl51_124
    | spl51_73
    | ~ spl51_74
    | ~ spl51_26
    | spl51_2 ),
    inference(rat,[],[s743,s196,s101,s102,s198,s27,s197,s1043,s172,s171,s570,s216,s1040,s217,s909,s103,s104,s105,s1050,s1018]) ).

cnf(s1052,plain,
    ( spl51_2
    | spl51_1 ),
    inference(rat,[],[s944,s149,s103,s105,s213,s150,s208,s212,s1036,s14,s1051,s1024,s225,s207,s224,s1045,s146,s148,s152,s770,s134,s135,s136,s1042,s73,s74,s76,s1]) ).

cnf(s1053,plain,
    ( ~ spl51_145
    | spl51_180
    | ~ spl51_161
    | spl51_21
    | spl51_29
    | ~ spl51_152
    | ~ spl51_2 ),
    inference(rat,[],[s757,s100,s102,s176,s204,s183,s177,s203,s184,s1029,s182,s12,s1006,s1031,s92,s91,s89]) ).

cnf(s1056,plain,
    ( ~ spl51_7
    | ~ spl51_168
    | ~ spl51_41
    | ~ spl51_152 ),
    inference(rat,[],[s758,s126,s128]) ).

cnf(s1057,plain,
    ( ~ spl51_41
    | spl51_29
    | ~ spl51_152
    | ~ spl51_2 ),
    inference(rat,[],[s756,s85,s86,s25,s1056,s936,s183,s184,s182,s604,s92,s91,s90,s89]) ).

cnf(s1058,plain,
    ( ~ spl51_146
    | ~ spl51_137
    | spl51_128
    | spl51_129
    | ~ spl51_130
    | ~ spl51_26 ),
    inference(rat,[],[s152,s153,s960,s1011]) ).

cnf(s1060,plain,
    ( spl51_41
    | ~ spl51_145
    | ~ spl51_179
    | ~ spl51_160
    | ~ spl51_161
    | ~ spl51_29
    | ~ spl51_152
    | ~ spl51_26 ),
    inference(rat,[],[s202,s917,s1027,s37,s38,s39,s177,s174,s176]) ).

cnf(s1064,plain,
    ( ~ spl51_145
    | spl51_180
    | spl51_29
    | ~ spl51_152
    | ~ spl51_2 ),
    inference(rat,[],[s743,s196,s101,s102,s198,s183,s27,s197,s184,s1043,s182,s1053,s1006,s91,s89,s175,s1018,s30,s1057,s92]) ).

cnf(s1065,plain,
    ( ~ spl51_17
    | ~ spl51_138
    | ~ spl51_149 ),
    inference(rat,[],[s571,s77,s78]) ).

cnf(s1066,plain,
    ( ~ spl51_30
    | ~ spl51_36
    | ~ spl51_138 ),
    inference(rat,[],[s504,s93,s95]) ).

cnf(s1067,plain,
    ( ~ spl51_23
    | ~ spl51_35
    | ~ spl51_31 ),
    inference(rat,[],[s949,s138,s139]) ).

cnf(s1068,plain,
    ( ~ spl51_20
    | ~ spl51_34
    | ~ spl51_31 ),
    inference(rat,[],[s972,s130,s131]) ).

cnf(s1069,plain,
    ( ~ spl51_39
    | spl51_17
    | ~ spl51_138
    | ~ spl51_178
    | ~ spl51_191
    | ~ spl51_199
    | ~ spl51_179
    | ~ spl51_31
    | ~ spl51_130
    | spl51_29
    | ~ spl51_26 ),
    inference(rat,[],[s984,s233,s202,s1068,s209,s211,s744,s200,s1067,s210,s873,s57,s59,s17,s22,s1066,s23,s85,s87,s12,s1043,s1029]) ).

cnf(s1070,plain,
    ( ~ spl51_24
    | ~ spl51_173
    | ~ spl51_31 ),
    inference(rat,[],[s466,s41,s42]) ).

cnf(s1071,plain,
    ( spl51_29
    | ~ spl51_152
    | spl51_1 ),
    inference(rat,[],[s1004,s38,s39,s174,s173,s1030,s206,s205,s241,s155,s1070,s196,s150,s198,s149,s197,s1069,s1065,s151,s148,s199,s1058,s960,s1011,s158,s219,s157,s218,s232,s1064,s115,s116,s154,s201,s29,s766,s899,s1029,s170,s177,s169,s175,s1018,s30,s156,s176,s142,s143,s144,s1057,s16,s91,s90,s168,s1026,s92,s1052]) ).

cnf(s1072,plain,
    ( spl51_41
    | ~ spl51_179
    | ~ spl51_161
    | ~ spl51_29
    | ~ spl51_152
    | ~ spl51_26 ),
    inference(rat,[],[s218,s1060,s219,s173,s1029,s1035,s177,s30,s176,s1049]) ).

cnf(s1073,plain,
    ( ~ spl51_101
    | ~ spl51_173
    | ~ spl51_31 ),
    inference(rat,[],[s467,s108,s109]) ).

cnf(s1075,plain,
    ( ~ spl51_19
    | ~ spl51_193
    | ~ spl51_173 ),
    inference(rat,[],[s564,s45,s46]) ).

cnf(s1076,plain,
    ( ~ spl51_18
    | ~ spl51_149 ),
    inference(rat,[],[s913,s61,s62,s63]) ).

cnf(s1077,plain,
    ( spl51_173
    | spl51_22
    | spl51_27
    | ~ spl51_29
    | ~ spl51_26 ),
    inference(rat,[],[s795,s118,s119,s120,s12,s1043,s197,s191,s198,s190,s196]) ).

cnf(s1078,plain,
    ( ~ spl51_145
    | ~ spl51_19
    | ~ spl51_41
    | spl51_27
    | ~ spl51_29
    | ~ spl51_152
    | ~ spl51_26 ),
    inference(rat,[],[s783,s49,s51,s14,s1035,s222,s223,s1075,s1077,s1031,s1024,s1021]) ).

cnf(s1079,plain,
    ( spl51_27
    | ~ spl51_29
    | ~ spl51_156
    | ~ spl51_152
    | ~ spl51_2 ),
    inference(rat,[],[s767,s49,s50,s14,s1035,s222,s155,s223,s154,s1075,s766,s190,s142,s143,s191,s18,s795,s1029,s118,s119,s120,s219,s218,s1078,s10,s1076,s1021,s1072,s201,s899,s170,s169,s175,s92,s91,s90,s1024,s1049]) ).

cnf(s1080,plain,
    ( ~ spl51_152
    | spl51_1 ),
    inference(rat,[],[s771,s110,s111,s112,s179,s774,s152,s178,s153,s795,s1034,s118,s119,s120,s219,s154,s151,s218,s155,s483,s1012,s767,s49,s50,s51,s14,s30,s1018,s1079,s1049,s1024,s1071,s168,s1026,s92,s90,s89,s1052]) ).

cnf(s1081,plain,
    ( spl51_41
    | ~ spl51_145
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s23,s1066,s1065,s1040,s152,s841,s211,s210,s1043,s209,s923,s197,s1068,s130,s131,s191,s198,s202,s190,s196,s201,s917,s1004,s899,s37,s38,s39,s165,s115,s116,s22,s174,s164,s29,s909,s173,s859,s1029,s103,s104,s105,s1035,s33,s35,s177,s1033,s30,s176,s91,s90,s163,s1049,s225,s224,s1080,s92,s1052,s175]) ).

cnf(s1082,plain,
    ( ~ spl51_4
    | ~ spl51_42 ),
    inference(rat,[],[s770,s134,s135,s136]) ).

cnf(s1084,plain,
    ( ~ spl51_138
    | ~ spl51_30
    | spl51_21
    | ~ spl51_149
    | ~ spl51_26 ),
    inference(rat,[],[s23,s1066,s1065]) ).

cnf(s1085,plain,
    ( spl51_138
    | spl51_35
    | ~ spl51_39
    | ~ spl51_40
    | ~ spl51_179
    | ~ spl51_41
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s211,s209,s210,s973,s923,s515,s841,s130,s131,s132,s115,s116,s202,s15,s779,s1082,s107,s108,s152,s215,s1040,s214,s225,s224,s1080,s92,s1052]) ).

cnf(s1086,plain,
    ( spl51_173
    | spl51_154
    | ~ spl51_149
    | ~ spl51_41
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s795,s118,s119,s120,s22,s1084,s1085,s909,s103,s104,s105,s231,s230,s1043,s884,s197,s86,s87,s191,s198,s1077,s190,s196,s225,s224,s1080,s92,s201,s899,s91,s90,s1052]) ).

cnf(s1088,plain,
    ( ~ spl51_8
    | ~ spl51_40
    | spl51_136
    | ~ spl51_26 ),
    inference(rat,[],[s211,s210,s209,s940,s880,s69,s70,s71]) ).

cnf(s1089,plain,
    ( ~ spl51_42
    | spl51_193
    | ~ spl51_179
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s883,s131,s132,s202,s917,s37,s38,s39,s222,s4,s223,s1088,s186,s187,s915,s871,s841,s114,s115,s116,s15,s1082,s185,s225,s224,s1080,s92,s1052]) ).

cnf(s1090,plain,
    ( ~ spl51_5
    | ~ spl51_35 ),
    inference(rat,[],[s909,s103,s104,s105]) ).

cnf(s1091,plain,
    ( ~ spl51_149
    | ~ spl51_145
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s14,s1035,s1036,s230,s208,s231,s1090,s1040,s152,s1089,s1075,s696,s1086,s860,s45,s46,s47,s10,s201,s1076,s899,s91,s90,s207,s1024,s225,s224,s1080,s92,s1052,s1081]) ).

cnf(s1092,plain,
    ( ~ spl51_25
    | ~ spl51_154
    | ~ spl51_145 ),
    inference(rat,[],[s859,s33,s35]) ).

cnf(s1093,plain,
    ( ~ spl51_145
    | spl51_27
    | spl51_1 ),
    inference(rat,[],[s860,s45,s47,s181,s180,s915,s871,s114,s115,s116,s15,s1082,s533,s148,s150,s1036,s14,s1092,s149,s1043,s164,s172,s165,s171,s1091,s91,s89,s163,s1024,s225,s224,s1080,s92,s1052]) ).

cnf(s1094,plain,
    ( spl51_27
    | spl51_1 ),
    inference(rat,[],[s915,s871,s114,s115,s116,s15,s1082,s146,s147,s604,s187,s176,s145,s186,s177,s795,s1029,s118,s119,s120,s219,s218,s1093,s175,s90,s89,s185,s1049,s225,s224,s1080,s92,s1052]) ).

cnf(s1095,plain,
    ( ~ spl51_40
    | ~ spl51_149
    | spl51_1 ),
    inference(rat,[],[s211,s209,s210,s973,s923,s515,s130,s131,s132,s202,s917,s37,s38,s39,s4,s1088,s201,s899,s91,s90,s1082,s152,s1040,s313,s45,s47,s10,s1076,s1090,s208,s1036,s14,s1018,s1094,s1024,s207,s225,s224,s1080,s92,s1052]) ).

cnf(s1096,plain,
    ( ~ spl51_22
    | ~ spl51_33
    | ~ spl51_29 ),
    inference(rat,[],[s884,s86,s87]) ).

cnf(s1098,plain,
    ( ~ spl51_8
    | ~ spl51_34 ),
    inference(rat,[],[s880,s69,s70,s71]) ).

cnf(s1099,plain,
    ( ~ spl51_20
    | ~ spl51_33
    | ~ spl51_29 ),
    inference(rat,[],[s883,s131,s132]) ).

cnf(s1100,plain,
    ( spl51_20
    | ~ spl51_149
    | spl51_1 ),
    inference(rat,[],[s917,s37,s38,s39,s4,s1098,s209,s211,s210,s874,s81,s83,s7,s202,s1028,s201,s899,s91,s90,s1082,s152,s1040,s313,s45,s47,s10,s1076,s1090,s208,s1036,s14,s1018,s1094,s1024,s207,s225,s224,s187,s186,s1095,s92,s1052,s185,s1080]) ).

cnf(s1101,plain,
    ( ~ spl51_149
    | spl51_1 ),
    inference(rat,[],[s211,s209,s210,s973,s878,s515,s130,s131,s132,s1100,s187,s186,s1095,s185,s1036,s14,s1018,s1094,s1024,s225,s224,s1080,s92,s1052]) ).

cnf(s1102,plain,
    ( spl51_42
    | spl51_22
    | spl51_1 ),
    inference(rat,[],[s795,s118,s119,s120,s12,s1043,s145,s149,s147,s150,s146,s148,s604,s30,s90,s89,s1036,s14,s1018,s1094,s1024,s225,s224,s1080,s92,s1052]) ).

cnf(s1103,plain,
    ( ~ spl51_9
    | ~ spl51_150
    | ~ spl51_29 ),
    inference(rat,[],[s917,s37,s38,s39]) ).

cnf(s1104,plain,
    ( ~ spl51_33
    | spl51_1 ),
    inference(rat,[],[s872,s888,s69,s70,s71,s4,s1103,s1082,s1102,s162,s1099,s1096,s225,s224,s1080,s30,s1018,s1094,s92,s1052,s161,s1101]) ).

cnf(s1106,plain,
    ( spl51_42
    | spl51_17
    | spl51_1 ),
    inference(rat,[],[s1043,s23,s149,s668,s150,s1040,s148,s152,s51,s50,s1090,s208,s1036,s14,s1018,s1094,s1024,s225,s224,s92,s1052,s207,s1080]) ).

cnf(s1107,plain,
    ( ~ spl51_40
    | spl51_4
    | spl51_1 ),
    inference(rat,[],[s211,s209,s210,s973,s923,s515,s130,s131,s132,s162,s1103,s4,s1088,s1036,s14,s1018,s1094,s1024,s225,s224,s1080,s92,s1052,s161,s1101]) ).

cnf(s1108,plain,
    ( spl51_8
    | spl51_4
    | spl51_1 ),
    inference(rat,[],[s563,s37,s38,s4,s223,s222,s1104,s190,s191,s1107,s92,s1052]) ).

cnf(s1109,plain,
    ( spl51_4
    | spl51_1 ),
    inference(rat,[],[s879,s138,s140,s200,s199,s210,s1047,s211,s215,s209,s214,s1098,s668,s1108,s187,s186,s1107,s185,s51,s50,s1090,s208,s1036,s14,s1018,s1094,s1024,s225,s224,s92,s1052,s207,s1080,s1104]) ).

cnf(s1110,plain,
    spl51_1,
    inference(rat,[],[s312,s78,s79,s1040,s1106,s152,s1082,s1109,s1090,s208,s1036,s14,s1018,s1094,s1024,s225,s207,s224,s1080,s92,s1052]) ).

cnf(s1111,plain,
    spl51_26,
    inference(rat,[],[s56,s1110]) ).

cnf(s1112,plain,
    ~ spl51_60,
    inference(rat,[],[s55,s1110]) ).

cnf(s1113,plain,
    ~ spl51_59,
    inference(rat,[],[s54,s1110]) ).

cnf(s1114,plain,
    ~ spl51_58,
    inference(rat,[],[s53,s1110]) ).

cnf(s1115,plain,
    ~ spl51_41,
    inference(rat,[],[s638,s1112,s1113,s1114]) ).

cnf(s1116,plain,
    spl51_162,
    inference(rat,[],[s176,s1115]) ).

cnf(s1117,plain,
    spl51_143,
    inference(rat,[],[s156,s1115]) ).

cnf(s1118,plain,
    spl51_25,
    inference(rat,[],[s30,s1111,s1115]) ).

cnf(s1120,plain,
    spl51_44,
    inference(rat,[],[s34,s1118]) ).

cnf(s1121,plain,
    spl51_43,
    inference(rat,[],[s33,s1118]) ).

cnf(s1122,plain,
    ~ spl51_27,
    inference(rat,[],[s1018,s1118]) ).

cnf(s1123,plain,
    spl51_161,
    inference(rat,[],[s175,s1122]) ).

cnf(s1124,plain,
    spl51_158,
    inference(rat,[],[s169,s1122]) ).

cnf(s1125,plain,
    spl51_31,
    inference(rat,[],[s177,s1116,s1111,s1123]) ).

cnf(s1126,plain,
    ~ spl51_10,
    inference(rat,[],[s1029,s1125]) ).

cnf(s1127,plain,
    spl51_6,
    inference(rat,[],[s29,s1115,s1111,s1126]) ).

cnf(s1128,plain,
    ~ spl51_109,
    inference(rat,[],[s116,s1127]) ).

cnf(s1129,plain,
    ~ spl51_108,
    inference(rat,[],[s115,s1127]) ).

cnf(s1131,plain,
    ( ~ spl51_21
    | ~ spl51_149 ),
    inference(rat,[],[s215,s214,s1073,s696,s196,s198,s197,s338,s1043,s122,s124,s46,s45,s10,s1076,s1111,s1125,s1122]) ).

cnf(s1132,plain,
    ( ~ spl51_101
    | ~ spl51_140
    | ~ spl51_146 ),
    inference(rat,[],[s1010,s107,s108]) ).

cnf(s1133,plain,
    ( spl51_138
    | ~ spl51_160
    | ~ spl51_198
    | ~ spl51_144
    | ~ spl51_139 ),
    inference(rat,[],[s231,s1090,s1046,s215,s1132,s153,s151,s214,s158,s1111,s1115,s1123,s1117]) ).

cnf(s1134,plain,
    ( ~ spl51_149
    | ~ spl51_136
    | ~ spl51_139
    | ~ spl51_152 ),
    inference(rat,[],[s199,s962,s200,s231,s1067,s1090,s22,s1084,s1133,s38,s174,s158,s173,s230,s157,s744,s1031,s85,s87,s12,s1131,s1125,s1111,s1126,s1115,s1117]) ).

cnf(s1135,plain,
    ( ~ spl51_136
    | ~ spl51_139
    | spl51_29 ),
    inference(rat,[],[s199,s1011,s200,s143,s144,s1030,s158,s193,s206,s157,s1066,s1003,s214,s182,s215,s184,s1073,s205,s183,s196,s241,s938,s100,s101,s198,s24,s17,s27,s192,s197,s338,s1017,s1016,s1015,s1043,s122,s124,s168,s172,s170,s171,s1134,s224,s225,s1111,s1117,s1120,s1121,s1125,s1129,s1128,s1122,s1124]) ).

cnf(s1136,plain,
    ( spl51_138
    | ~ spl51_146
    | ~ spl51_191
    | ~ spl51_39
    | spl51_136
    | ~ spl51_139 ),
    inference(rat,[],[s1068,s20,s202,s67,s201,s1088,s987,s992,s977,s234,s189,s230,s235,s188,s231,s963,s1067,s1090,s215,s1132,s153,s151,s214,s86,s12,s46,s10,s1076,s171,s172,s1043,s1125,s1111,s1122,s1126]) ).

cnf(s1137,plain,
    ( spl51_42
    | spl51_29 ),
    inference(rat,[],[s211,s210,s209,s923,s1068,s130,s131,s191,s233,s190,s696,s1136,s45,s46,s158,s219,s10,s157,s218,s232,s1076,s1031,s171,s12,s172,s1043,s149,s150,s1135,s148,s152,s224,s225,s1111,s1125,s1117,s1126,s1122]) ).

cnf(s1138,plain,
    ( ~ spl51_145
    | spl51_29 ),
    inference(rat,[],[s184,s182,s183,s998,s743,s196,s100,s101,s102,s198,s27,s197,s1043,s12,s1031,s224,s225,s1111,s1122,s1126]) ).

cnf(s1139,plain,
    ( spl51_173
    | spl51_29 ),
    inference(rat,[],[s211,s210,s209,s923,s1068,s130,s131,s191,s233,s190,s841,s1137,s232,s1138,s1111,s1125,s1129,s1128]) ).

cnf(s1140,plain,
    ( ~ spl51_9
    | ~ spl51_173 ),
    inference(rat,[],[s1004,s38,s39,s1125]) ).

cnf(s1141,plain,
    spl51_29,
    inference(rat,[],[s960,s142,s143,s28,s1088,s4,s1140,s1139,s158,s157,s1138,s841,s1082,s1137,s1111,s1117,s1128,s1129]) ).

cnf(s1143,plain,
    ~ spl51_191,
    inference(rat,[],[s1049,s1141]) ).

cnf(s1144,plain,
    ~ spl51_33,
    inference(rat,[],[s1035,s1118,s1141]) ).

cnf(s1145,plain,
    spl51_5,
    inference(rat,[],[s1033,s1111,s1143,s1123,s1115,s1141]) ).

cnf(s1146,plain,
    ~ spl51_190,
    inference(rat,[],[s219,s1126,s1111,s1143]) ).

cnf(s1150,plain,
    spl51_160,
    inference(rat,[],[s173,s1144]) ).

cnf(s1154,plain,
    ~ spl51_35,
    inference(rat,[],[s1090,s1145]) ).

cnf(s1155,plain,
    spl51_145,
    inference(rat,[],[s218,s1146]) ).

cnf(s1156,plain,
    spl51_9,
    inference(rat,[],[s174,s1115,s1111,s1150]) ).

cnf(s1157,plain,
    spl51_30,
    inference(rat,[],[s22,s1126,s1111,s1154]) ).

cnf(s1158,plain,
    ~ spl51_154,
    inference(rat,[],[s1092,s1118,s1155]) ).

cnf(s1159,plain,
    spl51_48,
    inference(rat,[],[s39,s1156]) ).

cnf(s1160,plain,
    spl51_47,
    inference(rat,[],[s38,s1156]) ).

cnf(s1161,plain,
    spl51_46,
    inference(rat,[],[s37,s1156]) ).

cnf(s1162,plain,
    ~ spl51_150,
    inference(rat,[],[s1103,s1141,s1156]) ).

cnf(s1163,plain,
    ~ spl51_173,
    inference(rat,[],[s1140,s1156]) ).

cnf(s1168,plain,
    spl51_153,
    inference(rat,[],[s164,s1158]) ).

cnf(s1171,plain,
    spl51_176,
    inference(rat,[],[s196,s1163]) ).

cnf(s1172,plain,
    spl51_172,
    inference(rat,[],[s190,s1163]) ).

cnf(s1173,plain,
    spl51_22,
    inference(rat,[],[s1077,s1111,s1141,s1122,s1163]) ).

cnf(s1176,plain,
    ~ spl51_177,
    inference(rat,[],[s198,s1122,s1111,s1171]) ).

cnf(s1177,plain,
    spl51_40,
    inference(rat,[],[s191,s1111,s1172]) ).

cnf(s1181,plain,
    ~ spl51_152,
    inference(rat,[],[s1031,s1155,s1173]) ).

cnf(s1185,plain,
    spl51_39,
    inference(rat,[],[s197,s1176]) ).

cnf(s1191,plain,
    spl51_151,
    inference(rat,[],[s163,s1181]) ).

cnf(s1193,plain,
    ~ spl51_21,
    inference(rat,[],[s1043,s1185]) ).

cnf(s1195,plain,
    spl51_149,
    inference(rat,[],[s165,s1168,s1111,s1191]) ).

cnf(s1198,plain,
    ~ spl51_138,
    inference(rat,[],[s1084,s1111,s1195,s1157,s1193]) ).

cnf(s1201,plain,
    ~ spl51_180,
    inference(rat,[],[s895,s1141,s1161,s1159,s1160,s1195]) ).

cnf(s1204,plain,
    ~ spl51_139,
    inference(rat,[],[s1040,s1111,s1141,s1154,s1198]) ).

cnf(s1207,plain,
    spl51_179,
    inference(rat,[],[s201,s1201]) ).

cnf(s1209,plain,
    spl51_42,
    inference(rat,[],[s152,s1204]) ).

cnf(s1214,plain,
    spl51_20,
    inference(rat,[],[s202,s1111,s1162,s1207]) ).

cnf(s1221,plain,
    ~ spl51_136,
    inference(rat,[],[s841,s1129,s1128,s1209]) ).

cnf(s1224,plain,
    spl51_120,
    inference(rat,[],[s131,s1214]) ).

cnf(s1225,plain,
    ~ spl51_119,
    inference(rat,[],[s130,s1214]) ).

cnf(s1226,plain,
    ~ spl51_34,
    inference(rat,[],[s1068,s1125,s1214]) ).

cnf(s1234,plain,
    ~ spl51_186,
    inference(rat,[],[s923,s1177,s1224,s1225]) ).

cnf(s1236,plain,
    spl51_184,
    inference(rat,[],[s209,s1226]) ).

cnf(s1243,plain,
    spl51_185,
    inference(rat,[],[s210,s1234]) ).

cnf(s1244,plain,
    $false,
    inference(rat,[],[s211,s1221,s1111,s1236,s1243]) ).

fof(f4410,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1244]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN477+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n020.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.21  % CPULimit : 300
% 0.09/0.21  % WCLimit  : 300
% 0.09/0.21  % DateTime : Mon Sep 28 16:15:37 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.03  % (277648)Detected formulas, will run a generic FOF schedule.
% 1.17/1.03  % (277656)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=905567676:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.17/1.03  % (277656)First to succeed.
% 1.17/1.03  % (277659)dis-21_1_sil=8000:lcm=predicate:random_seed=209547184: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)
% 1.17/1.03  % (277654)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=855606734:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.17/1.03  % (277658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=348493171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.17/1.03  % (277657)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3628331711:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.17/1.03  % (277653)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=2466474157:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.17/1.03  % (277655)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=2450823120:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.17/1.03  % (277656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-277648"
% 1.17/1.03  % (277659)Also succeeded, but the first one will report.
% 1.17/1.03  % (277658)Also succeeded, but the first one will report.
% 1.17/1.03  % (277657)Instruction limit reached! 
% 1.17/1.03  % (277657)------------------------------
% 1.17/1.03  % (277657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.17/1.03  % (277657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/1.03  % (277657)CaDiCaL version: 2.1.3
% 1.17/1.03  % (277657)Termination reason: Instruction limit
% 1.17/1.03  % (277657)Termination phase: Saturation
% 1.17/1.03  % (277657)Time elapsed: 0.059 s
% 1.17/1.03  % (277657)Peak memory usage: 87 MB
% 1.17/1.03  % (277657)Instructions burned: 121 (million)
% 1.17/1.03  % (277656)Refutation found. Thanks to Tanya!
% 1.17/1.03  % SZS status Theorem for theBenchmark
% 1.17/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 3.08/1.23  % (277656)------------------------------
% 3.08/1.23  % (277656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.23  % (277656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.23  % (277656)CaDiCaL version: 2.1.3
% 3.08/1.23  % (277656)Termination reason: Refutation
% 3.08/1.23  % (277656)Time elapsed: 0.045 s
% 3.08/1.23  % (277656)Peak memory usage: 91 MB
% 3.08/1.23  % (277656)Instructions burned: 132 (million)
% 3.08/1.23  % (277656)------------------------------
% 3.08/1.23  % (277656)------------------------------
% 3.08/1.23  % (277648)Success in time 0.346 s
% 3.08/1.23  % Vampire exiting
%------------------------------------------------------------------------------