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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN489+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:14:22 PM UTC 2026

% Result   : Theorem 0.19s 0.30s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a2516)
          & ~ c1_1(a2516)
          & ~ c2_1(a2516) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2517)
          & ~ c0_1(a2517)
          & ~ c3_1(a2517) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a2518)
          & ~ c0_1(a2518)
          & ~ c3_1(a2518) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a2519)
          & ~ c2_1(a2519)
          & ~ c3_1(a2519) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a2521)
          & c3_1(a2521)
          & ~ c1_1(a2521) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a2522)
          & c3_1(a2522)
          & ~ c0_1(a2522) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2523)
          & c1_1(a2523)
          & ~ c3_1(a2523) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a2524)
          & c3_1(a2524)
          & ~ c2_1(a2524) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a2525)
          & c2_1(a2525)
          & ~ c3_1(a2525) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a2526)
          & c3_1(a2526)
          & ~ c0_1(a2526) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a2528)
          & ~ c0_1(a2528)
          & ~ c1_1(a2528) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a2531)
          & c2_1(a2531)
          & ~ c3_1(a2531) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c1_1(a2533)
          & ~ c2_1(a2533)
          & ~ c3_1(a2533) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2534)
          & ~ c0_1(a2534)
          & ~ c2_1(a2534) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a2536)
          & ~ c1_1(a2536)
          & ~ c3_1(a2536) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a2539)
          & ~ c0_1(a2539)
          & ~ c2_1(a2539) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2540)
          & ~ c2_1(a2540)
          & ~ c3_1(a2540) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a2541)
          & ~ c1_1(a2541)
          & ~ c2_1(a2541) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a2545)
          & c2_1(a2545)
          & ~ c0_1(a2545) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a2548)
          & c3_1(a2548)
          & ~ c1_1(a2548) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a2549)
          & ~ c0_1(a2549)
          & ~ c1_1(a2549) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2551)
          & c1_1(a2551)
          & ~ c2_1(a2551) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a2552)
          & ~ c1_1(a2552)
          & ~ c3_1(a2552) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2553)
          & ~ c1_1(a2553)
          & ~ c3_1(a2553) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a2555)
          & c2_1(a2555)
          & ~ c1_1(a2555) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a2564)
          & ~ c1_1(a2564)
          & ~ c2_1(a2564) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2601)
          & c3_1(a2601)
          & ~ c2_1(a2601) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a2614)
          & ~ c2_1(a2614)
          & ~ c3_1(a2614) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2529)
          & c2_1(a2529)
          & c3_1(a2529) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a2556)
          & c2_1(a2556)
          & c3_1(a2556) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2558)
          & c1_1(a2558)
          & c2_1(a2558) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2597)
          & c1_1(a2597)
          & c3_1(a2597) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | ~ c2_1(X1)
              | ~ c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c2_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c0_1(X11)
              | ~ c2_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c0_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c0_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c0_1(X21)
              | ~ c1_1(X21) ) )
        | hskp0 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c3_1(X23)
              | ~ c0_1(X23) ) )
        | hskp4 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c1_1(X25)
              | ~ c2_1(X25) ) )
        | hskp5 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | hskp6
        | hskp7 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c2_1(X28)
              | ~ c0_1(X28) ) )
        | hskp8 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | hskp9 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | ~ c1_1(X32) ) )
        | hskp1 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c3_1(X34)
              | ~ c1_1(X34) ) )
        | hskp10 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | hskp28
        | hskp3 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | hskp11 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c0_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | hskp0 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c0_1(X44)
              | ~ c2_1(X44) ) )
        | hskp12 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | hskp13
        | hskp4 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | ~ c1_1(X50) ) )
        | hskp14 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp4
        | hskp15 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c2_1(X58) ) )
        | hskp16 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp17 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | hskp15
        | hskp0 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | hskp14 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | hskp18
        | hskp10 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | hskp14 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp19
        | hskp20 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | hskp7 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | hskp21
        | hskp22 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | hskp23
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp24 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) )
        | hskp29 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp2 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp30
        | hskp22 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | hskp29
        | hskp2 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | hskp20
        | hskp14 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c2_1(X90) ) )
        | hskp25
        | hskp3 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | hskp18
        | hskp0 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | hskp21 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) )
        | hskp4 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c2_1(X97) ) )
        | hskp28 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp5
        | hskp22 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | hskp24 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp8
        | hskp7 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp21 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | hskp10 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp19
        | hskp16 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c0_1(X107) ) )
        | hskp9
        | hskp4 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp30
        | hskp9 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | hskp24
        | hskp25 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c2_1(X111)
              | ~ c3_1(X111) ) )
        | hskp6 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp18 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | hskp29
        | hskp10 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp25
        | hskp20 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c1_1(X116)
              | ~ c2_1(X116) ) )
        | hskp28
        | hskp1 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c2_1(X118)
              | ~ c3_1(X118) ) )
        | hskp3 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp6
        | hskp20 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c2_1(X120)
              | ~ c3_1(X120) ) )
        | hskp31
        | hskp23 )
      & ( hskp30
        | hskp21
        | hskp26 )
      & ( hskp21
        | hskp18
        | hskp1 )
      & ( hskp21
        | hskp2
        | hskp20 )
      & ( hskp6
        | hskp19
        | hskp16 )
      & ( hskp24
        | hskp0 )
      & ( hskp23
        | hskp27 )
      & ( hskp7
        | hskp13
        | hskp12 )
      & ( hskp2
        | hskp27
        | hskp3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a2516)
            & ~ c1_1(a2516)
            & ~ c2_1(a2516) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2517)
            & ~ c0_1(a2517)
            & ~ c3_1(a2517) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a2518)
            & ~ c0_1(a2518)
            & ~ c3_1(a2518) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a2519)
            & ~ c2_1(a2519)
            & ~ c3_1(a2519) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a2521)
            & c3_1(a2521)
            & ~ c1_1(a2521) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a2522)
            & c3_1(a2522)
            & ~ c0_1(a2522) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2523)
            & c1_1(a2523)
            & ~ c3_1(a2523) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a2524)
            & c3_1(a2524)
            & ~ c2_1(a2524) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a2525)
            & c2_1(a2525)
            & ~ c3_1(a2525) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a2526)
            & c3_1(a2526)
            & ~ c0_1(a2526) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a2528)
            & ~ c0_1(a2528)
            & ~ c1_1(a2528) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a2531)
            & c2_1(a2531)
            & ~ c3_1(a2531) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c1_1(a2533)
            & ~ c2_1(a2533)
            & ~ c3_1(a2533) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2534)
            & ~ c0_1(a2534)
            & ~ c2_1(a2534) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a2536)
            & ~ c1_1(a2536)
            & ~ c3_1(a2536) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a2539)
            & ~ c0_1(a2539)
            & ~ c2_1(a2539) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2540)
            & ~ c2_1(a2540)
            & ~ c3_1(a2540) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a2541)
            & ~ c1_1(a2541)
            & ~ c2_1(a2541) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a2545)
            & c2_1(a2545)
            & ~ c0_1(a2545) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a2548)
            & c3_1(a2548)
            & ~ c1_1(a2548) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a2549)
            & ~ c0_1(a2549)
            & ~ c1_1(a2549) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2551)
            & c1_1(a2551)
            & ~ c2_1(a2551) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a2552)
            & ~ c1_1(a2552)
            & ~ c3_1(a2552) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2553)
            & ~ c1_1(a2553)
            & ~ c3_1(a2553) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a2555)
            & c2_1(a2555)
            & ~ c1_1(a2555) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a2564)
            & ~ c1_1(a2564)
            & ~ c2_1(a2564) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2601)
            & c3_1(a2601)
            & ~ c2_1(a2601) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a2614)
            & ~ c2_1(a2614)
            & ~ c3_1(a2614) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2529)
            & c2_1(a2529)
            & c3_1(a2529) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a2556)
            & c2_1(a2556)
            & c3_1(a2556) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2558)
            & c1_1(a2558)
            & c2_1(a2558) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2597)
            & c1_1(a2597)
            & c3_1(a2597) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | ~ c2_1(X1)
                | ~ c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c0_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | hskp0 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp4 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp5 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | hskp6
          | hskp7 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c2_1(X28)
                | ~ c0_1(X28) ) )
          | hskp8 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp9 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) )
          | hskp1 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | hskp10 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp28
          | hskp3 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp11 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp0 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp12 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | hskp13
          | hskp4 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | ~ c1_1(X50) ) )
          | hskp14 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp4
          | hskp15 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) )
          | hskp16 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp17 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp15
          | hskp0 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | hskp14 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | hskp18
          | hskp10 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | hskp14 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp19
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | hskp7 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | hskp21
          | hskp22 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | hskp23
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp24 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | hskp29 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp2 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp30
          | hskp22 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | hskp29
          | hskp2 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | hskp20
          | hskp14 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c2_1(X90) ) )
          | hskp25
          | hskp3 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp18
          | hskp0 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | hskp21 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) )
          | hskp4 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c2_1(X97) ) )
          | hskp28 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp5
          | hskp22 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | hskp24 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp8
          | hskp7 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp21 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp10 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp19
          | hskp16 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c0_1(X107) ) )
          | hskp9
          | hskp4 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp30
          | hskp9 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | hskp24
          | hskp25 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp6 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp18 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | hskp29
          | hskp10 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp25
          | hskp20 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | hskp28
          | hskp1 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c2_1(X118)
                | ~ c3_1(X118) ) )
          | hskp3 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp6
          | hskp20 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c2_1(X120)
                | ~ c3_1(X120) ) )
          | hskp31
          | hskp23 )
        & ( hskp30
          | hskp21
          | hskp26 )
        & ( hskp21
          | hskp18
          | hskp1 )
        & ( hskp21
          | hskp2
          | hskp20 )
        & ( hskp6
          | hskp19
          | hskp16 )
        & ( hskp24
          | hskp0 )
        & ( hskp23
          | hskp27 )
        & ( hskp7
          | hskp13
          | hskp12 )
        & ( hskp2
          | hskp27
          | hskp3 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | ~ c2_1(X1)
            | ~ c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c0_1(X8)
            | ~ c2_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c0_1(X11)
            | ~ c2_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp3 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c0_1(X16)
            | ~ c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c0_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c0_1(X21)
            | ~ c1_1(X21) ) )
      | hskp0 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c3_1(X23)
            | ~ c0_1(X23) ) )
      | hskp4 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c1_1(X25)
            | ~ c2_1(X25) ) )
      | hskp5 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c2_1(X28)
            | ~ c0_1(X28) ) )
      | hskp8 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) )
      | hskp9 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) )
      | hskp1 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | ~ c1_1(X34) ) )
      | hskp10 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp11 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c0_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp0 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp12 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c0_1(X50)
            | ~ c1_1(X50) ) )
      | hskp14 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c0_1(X52) ) )
      | hskp13 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) )
      | hskp16 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp17 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | hskp14 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | hskp14 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | hskp7 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp24 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | ~ c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) )
      | hskp29 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp2 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c2_1(X90) ) )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | hskp21 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) )
      | hskp4 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c1_1(X97)
            | ~ c2_1(X97) ) )
      | hskp28 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | hskp24 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c2_1(X101)
            | ~ c3_1(X101) ) )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c0_1(X103)
            | ~ c1_1(X103) ) )
      | hskp21 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c3_1(X105) ) )
      | hskp10 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c0_1(X107) ) )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c2_1(X111)
            | ~ c3_1(X111) ) )
      | hskp6 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | hskp18 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c1_1(X114) ) )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c2_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c2_1(X118)
            | ~ c3_1(X118) ) )
      | hskp3 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c1_1(X120)
            | ~ c2_1(X120)
            | ~ c3_1(X120) ) )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a2516)
        & ~ c1_1(a2516)
        & ~ c2_1(a2516) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2517)
        & ~ c0_1(a2517)
        & ~ c3_1(a2517) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2518)
        & ~ c0_1(a2518)
        & ~ c3_1(a2518) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2519)
        & ~ c2_1(a2519)
        & ~ c3_1(a2519) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a2521)
        & c3_1(a2521)
        & ~ c1_1(a2521) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a2522)
        & c3_1(a2522)
        & ~ c0_1(a2522) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2523)
        & c1_1(a2523)
        & ~ c3_1(a2523) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a2524)
        & c3_1(a2524)
        & ~ c2_1(a2524) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2525)
        & c2_1(a2525)
        & ~ c3_1(a2525) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a2526)
        & c3_1(a2526)
        & ~ c0_1(a2526) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2528)
        & ~ c0_1(a2528)
        & ~ c1_1(a2528) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a2531)
        & c2_1(a2531)
        & ~ c3_1(a2531) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a2533)
        & ~ c2_1(a2533)
        & ~ c3_1(a2533) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2534)
        & ~ c0_1(a2534)
        & ~ c2_1(a2534) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2536)
        & ~ c1_1(a2536)
        & ~ c3_1(a2536) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a2539)
        & ~ c0_1(a2539)
        & ~ c2_1(a2539) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2540)
        & ~ c2_1(a2540)
        & ~ c3_1(a2540) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a2541)
        & ~ c1_1(a2541)
        & ~ c2_1(a2541) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2545)
        & c2_1(a2545)
        & ~ c0_1(a2545) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a2548)
        & c3_1(a2548)
        & ~ c1_1(a2548) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a2549)
        & ~ c0_1(a2549)
        & ~ c1_1(a2549) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2551)
        & c1_1(a2551)
        & ~ c2_1(a2551) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2552)
        & ~ c1_1(a2552)
        & ~ c3_1(a2552) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2553)
        & ~ c1_1(a2553)
        & ~ c3_1(a2553) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a2555)
        & c2_1(a2555)
        & ~ c1_1(a2555) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a2564)
        & ~ c1_1(a2564)
        & ~ c2_1(a2564) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2601)
        & c3_1(a2601)
        & ~ c2_1(a2601) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a2614)
        & ~ c2_1(a2614)
        & ~ c3_1(a2614) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2529)
        & c2_1(a2529)
        & c3_1(a2529) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2556)
        & c2_1(a2556)
        & c3_1(a2556) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2558)
        & c1_1(a2558)
        & c2_1(a2558) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2597)
        & c1_1(a2597)
        & c3_1(a2597) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c0_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | hskp10 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp23
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp29
      | hskp2 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp20
      | hskp14 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp18
      | hskp0 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | hskp9
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp29
      | hskp10 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp25
      | hskp20 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp6
      | hskp20 )
    & ( ! [X120] :
          ( ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp31
      | hskp23 )
    & ( hskp30
      | hskp21
      | hskp26 )
    & ( hskp21
      | hskp18
      | hskp1 )
    & ( hskp21
      | hskp2
      | hskp20 )
    & ( hskp6
      | hskp19
      | hskp16 )
    & ( hskp24
      | hskp0 )
    & ( hskp23
      | hskp27 )
    & ( hskp7
      | hskp13
      | hskp12 )
    & ( hskp2
      | hskp27
      | hskp3 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp2
    | hskp27
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp23
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp21
    | hskp18
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp30
    | hskp21
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X120] :
      ( ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ c3_1(X120)
      | ~ ndr1_0
      | hskp31
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X118,X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X116] :
      ( c3_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | hskp28
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X109] :
      ( c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X108] :
      ( c2_1(X108)
      | ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | hskp30
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c0_1(X107)
      | ~ ndr1_0
      | hskp9
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X101] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ c2_1(X97)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X90] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | hskp25
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | hskp20
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp23
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | ~ c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X67] :
      ( c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp18
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | hskp13
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | c1_1(X11)
      | ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X6,X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | c3_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp31
    | c1_1(a2597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp31
    | c0_1(a2597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c2_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c1_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a2558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c3_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c2_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c1_1(a2556) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c0_1(a2529) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp27
    | c1_1(a2614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c2_1(a2601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp26
    | c3_1(a2601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | c0_1(a2601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp25
    | c0_1(a2564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | c2_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c0_1(a2555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c0_1(a2553) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c3_1(a2552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a2552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c2_1(a2552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | c1_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a2551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c2_1(a2549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c0_1(a2545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp18
    | c2_1(a2545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp18
    | c1_1(a2545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c1_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c3_1(a2541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c0_1(a2540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c3_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | ~ c1_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | ~ c0_1(a2536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c1_1(a2534) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c3_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c2_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | ~ c1_1(a2533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | c2_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c1_1(a2531) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c3_1(a2528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | c3_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c1_1(a2526) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | c2_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c0_1(a2525) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | c3_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c1_1(a2524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | c1_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a2523) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | c3_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c2_1(a2521) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | ~ c2_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | c1_1(a2518) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c2_1(a2517) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( hskp1
    | c2_1(a2517) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f212,plain,
    ( hskp1
    | ~ c0_1(a2517) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f213,plain,
    ( hskp1
    | c3_1(a2517) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f214,plain,
    ( ~ hskp2
    | c3_1(a2518) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f215,plain,
    ( ~ hskp3
    | c3_1(a2519) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f216,plain,
    ( ~ hskp4
    | ~ c3_1(a2521) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f218,plain,
    ( ~ hskp6
    | c3_1(a2523) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f219,plain,
    ( ~ hskp7
    | ~ c3_1(a2524) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f220,plain,
    ( ~ hskp8
    | c3_1(a2525) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f221,plain,
    ( ~ hskp9
    | ~ c3_1(a2526) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f223,plain,
    ( hskp10
    | ~ c3_1(a2528) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f224,plain,
    ( hskp10
    | ~ c0_1(a2528) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f225,plain,
    ( hskp10
    | ~ c1_1(a2528) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f227,plain,
    ( hskp11
    | c1_1(a2531) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f228,plain,
    ( hskp11
    | c2_1(a2531) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f229,plain,
    ( hskp11
    | c3_1(a2531) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f230,plain,
    ( ~ hskp12
    | c3_1(a2533) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f232,plain,
    ( hskp13
    | c1_1(a2534) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f233,plain,
    ( hskp13
    | ~ c0_1(a2534) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f234,plain,
    ( hskp13
    | ~ c2_1(a2534) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f235,plain,
    ( ~ hskp14
    | c3_1(a2536) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f241,plain,
    ( hskp16
    | c0_1(a2540) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f242,plain,
    ( hskp16
    | ~ c2_1(a2540) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f243,plain,
    ( hskp16
    | c3_1(a2540) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f245,plain,
    ( hskp17
    | ~ c3_1(a2541) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f246,plain,
    ( hskp17
    | ~ c1_1(a2541) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f247,plain,
    ( hskp17
    | ~ c2_1(a2541) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f253,plain,
    ( hskp22
    | c2_1(a2552) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f254,plain,
    ( hskp22
    | ~ c1_1(a2552) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f255,plain,
    ( hskp22
    | c3_1(a2552) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f256,plain,
    ( hskp23
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f257,plain,
    ( hskp23
    | c0_1(a2553) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f258,plain,
    ( hskp23
    | ~ c1_1(a2553) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f259,plain,
    ( hskp23
    | c3_1(a2553) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f261,plain,
    ( hskp25
    | c0_1(a2564) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f262,plain,
    ( hskp25
    | ~ c1_1(a2564) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f263,plain,
    ( hskp25
    | ~ c2_1(a2564) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f264,plain,
    ( ~ hskp26
    | ~ c3_1(a2601) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f265,plain,
    ( ~ hskp27
    | c3_1(a2614) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f266,plain,
    ( ~ hskp28
    | ~ c3_1(a2529) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f268,plain,
    ( hskp29
    | c1_1(a2556) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f269,plain,
    ( hskp29
    | c2_1(a2556) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f270,plain,
    ( hskp29
    | ~ c3_1(a2556) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f272,plain,
    ( hskp30
    | c0_1(a2558) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f273,plain,
    ( hskp30
    | c1_1(a2558) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f274,plain,
    ( hskp30
    | c2_1(a2558) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f276,plain,
    ( hskp31
    | c0_1(a2597) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f277,plain,
    ( hskp31
    | c1_1(a2597) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f281,plain,
    ! [X6,X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ ndr1_0
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f282,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f283,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c2_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f285,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f287,plain,
    ! [X26] :
      ( c0_1(X26)
      | c1_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f288,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f289,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f290,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f291,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f292,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ ndr1_0
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f293,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | ~ c1_1(X40)
      | c3_1(X40)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f296,plain,
    ! [X45] :
      ( c0_1(X45)
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ hskp13
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f297,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | c3_1(X48)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f299,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f300,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f302,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f303,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f305,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f307,plain,
    ! [X67] :
      ( c0_1(X67)
      | ~ c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | hskp18
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f308,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f310,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | ~ c2_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | c3_1(X73)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f311,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f312,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp21
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f313,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | ~ hskp23
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f314,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f315,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f316,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | c3_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f317,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f320,plain,
    ! [X89] :
      ( c1_1(X89)
      | ~ c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | hskp20
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f321,plain,
    ! [X90] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | ~ hskp25
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f323,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | c3_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f324,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | c3_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ c2_1(X97)
      | ~ ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f326,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f327,plain,
    ! [X101] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | c3_1(X101)
      | ~ ndr1_0
      | hskp8
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f328,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f329,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | ~ c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | c3_1(X105)
      | ~ ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f331,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c3_1(X107)
      | ~ c0_1(X107)
      | ~ ndr1_0
      | hskp9
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f332,plain,
    ! [X108] :
      ( c2_1(X108)
      | ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | ~ hskp30
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f333,plain,
    ! [X109] :
      ( c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | hskp24
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f334,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | c3_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | c3_1(X111)
      | ~ ndr1_0
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f335,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | ~ c1_1(X112)
      | c3_1(X112)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | c3_1(X113)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f338,plain,
    ! [X116] :
      ( ~ c3_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | hskp28
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f339,plain,
    ! [X118,X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | c3_1(X118)
      | ~ ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f341,plain,
    ! [X120] :
      ( ~ c1_1(X120)
      | ~ c2_1(X120)
      | c3_1(X120)
      | ~ ndr1_0
      | ~ hskp31
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f342,plain,
    ( ~ hskp30
    | hskp21
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f343,plain,
    ( hskp21
    | hskp18
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f345,plain,
    ( ~ hskp23
    | hskp27 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f346,plain,
    ( hskp7
    | ~ hskp13
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f347,plain,
    ! [X118,X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | c3_1(X118)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f348,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | ~ c1_1(X112)
      | c3_1(X112)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | c3_1(X113)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f349,plain,
    ! [X111,X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | c3_1(X110)
      | ~ ndr1_0
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | c3_1(X111)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f350,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | ~ c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | c3_1(X105)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f329]) ).

fof(f351,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | ~ c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f352,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f353,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | c3_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ c2_1(X97)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f354,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | c3_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f356,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c3_1(X86)
      | ~ c0_1(X86)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f357,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | c3_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f358,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82) ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f359,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | c3_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ c0_1(X79)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f360,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f361,plain,
    ! [X72,X73,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | ~ c2_1(X72)
      | c3_1(X72)
      | c2_1(X73)
      | ~ c0_1(X73)
      | c3_1(X73) ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f362,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c1_1(X69)
      | c3_1(X69)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f364,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | c3_1(X63)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64) ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f365,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f366,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ hskp16 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f367,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | c1_1(X55)
      | ~ c3_1(X55)
      | ~ c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f368,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ hskp13 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f370,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c3_1(X47)
      | ~ c2_1(X47)
      | c1_1(X48)
      | ~ c0_1(X48)
      | c3_1(X48) ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f373,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c0_1(X40)
      | ~ c1_1(X40)
      | c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f374,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | c3_1(X37)
      | ~ hskp11 ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f375,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c3_1(X34)
      | ~ c1_1(X34)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f376,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ c1_1(X32)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f377,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ c1_1(X30)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f378,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | ~ c0_1(X28)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f380,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f383,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c2_1(X15)
      | c3_1(X15)
      | ~ c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f385,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | c1_1(X11)
      | ~ c0_1(X11)
      | ~ c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f386,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c0_1(X8)
      | ~ c2_1(X8)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f387,plain,
    ! [X6,X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f391,definition,
    ( spl0_1
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_2
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f399,definition,
    ( spl0_3
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f402,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f399,f395,f391]) ).

fof(f404,definition,
    ( spl0_4
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_5
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_6
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f346,f412,f408,f404]) ).

fof(f417,definition,
    ( spl0_7
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f420,plain,
    ( spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f345,f417,f395]) ).

fof(f426,definition,
    ( spl0_9
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f431,definition,
    ( spl0_10
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f439,definition,
    ( spl0_12
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f444,definition,
    ( spl0_13
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_14
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f453,definition,
    ( spl0_15
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_16
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f460,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_14 ),
    inference(avatar_split_clause,[],[f343,f448,f457,f453]) ).

fof(f462,definition,
    ( spl0_17
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_18
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f469,plain,
    ( spl0_17
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f342,f466,f448,f462]) ).

fof(f471,definition,
    ( spl0_19
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f475,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_21
  <=> ! [X120] :
        ( ~ c1_1(X120)
        | c3_1(X120)
        | ~ c2_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X120] :
        ( c3_1(X120)
        | ~ c1_1(X120)
        | ~ c2_1(X120) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( ~ spl0_7
    | ~ spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f341,f479,f475,f471,f417]) ).

fof(f483,definition,
    ( spl0_22
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | c3_1(X119)
        | ~ c2_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X119] :
        ( c3_1(X119)
        | ~ c0_1(X119)
        | ~ c2_1(X119) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f487,definition,
    ( spl0_23
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | ~ c2_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X117] :
        ( ~ c2_1(X117)
        | ~ c0_1(X117)
        | ~ c1_1(X117) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_1
    | spl0_22
    | ~ spl0_20
    | spl0_23 ),
    inference(avatar_split_clause,[],[f347,f487,f475,f483,f391]) ).

fof(f491,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f495,definition,
    ( spl0_25
  <=> ! [X116] :
        ( ~ c3_1(X116)
        | ~ c2_1(X116)
        | ~ c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | ~ c2_1(X116)
        | ~ c1_1(X116) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( ~ spl0_15
    | spl0_24
    | ~ spl0_20
    | spl0_25 ),
    inference(avatar_split_clause,[],[f338,f495,f475,f491,f453]) ).

fof(f499,definition,
    ( spl0_26
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f503,definition,
    ( spl0_27
  <=> ! [X115] :
        ( ~ c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X115] :
        ( ~ c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f507,definition,
    ( spl0_28
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f511,definition,
    ( spl0_29
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f515,definition,
    ( spl0_30
  <=> ! [X114] :
        ( ~ c3_1(X114)
        | ~ c1_1(X114)
        | ~ c0_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X114] :
        ( ~ c3_1(X114)
        | ~ c1_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f519,definition,
    ( spl0_31
  <=> ! [X112] :
        ( c2_1(X112)
        | c3_1(X112)
        | ~ c1_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f520,plain,
    ( ! [X112] :
        ( c3_1(X112)
        | c2_1(X112)
        | ~ c1_1(X112) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( spl0_16
    | spl0_21
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f348,f519,f475,f479,f457]) ).

fof(f522,plain,
    ( spl0_12
    | spl0_22
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f349,f519,f475,f483,f439]) ).

fof(f524,definition,
    ( spl0_32
  <=> ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | ~ c0_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | ~ c0_1(X109) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( ~ spl0_26
    | spl0_9
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f333,f524,f475,f426,f499]) ).

fof(f528,definition,
    ( spl0_33
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f531,plain,
    ( spl0_33
    | ~ spl0_18
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f332,f524,f475,f466,f528]) ).

fof(f533,definition,
    ( spl0_34
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f537,definition,
    ( spl0_35
  <=> ! [X107] :
        ( c2_1(X107)
        | ~ c0_1(X107)
        | ~ c3_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X107] :
        ( ~ c3_1(X107)
        | ~ c0_1(X107)
        | c2_1(X107) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_34
    | spl0_33
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f331,f537,f475,f528,f533]) ).

fof(f542,definition,
    ( spl0_36
  <=> ! [X105] :
        ( ~ c0_1(X105)
        | c3_1(X105)
        | ~ c1_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X105] :
        ( c3_1(X105)
        | ~ c0_1(X105)
        | ~ c1_1(X105) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( ~ spl0_28
    | spl0_36
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f350,f537,f475,f542,f507]) ).

fof(f545,plain,
    ( spl0_14
    | spl0_30
    | ~ spl0_20
    | spl0_35 ),
    inference(avatar_split_clause,[],[f351,f537,f475,f515,f448]) ).

fof(f547,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f551,definition,
    ( spl0_38
  <=> ! [X101] :
        ( c1_1(X101)
        | c3_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f552,plain,
    ( ! [X101] :
        ( c3_1(X101)
        | c1_1(X101)
        | ~ c2_1(X101) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( spl0_6
    | spl0_37
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f327,f551,f475,f547,f412]) ).

fof(f554,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_20
    | spl0_38 ),
    inference(avatar_split_clause,[],[f352,f551,f475,f537,f426]) ).

fof(f556,definition,
    ( spl0_39
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f564,definition,
    ( spl0_41
  <=> ! [X98] :
        ( c1_1(X98)
        | c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f565,plain,
    ( ! [X98] :
        ( c3_1(X98)
        | c1_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( spl0_24
    | spl0_23
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f353,f564,f475,f487,f491]) ).

fof(f568,plain,
    ( spl0_34
    | spl0_25
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f354,f564,f475,f495,f533]) ).

fof(f571,definition,
    ( spl0_42
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c2_1(X91)
        | ~ c0_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f572,plain,
    ( ! [X91] :
        ( ~ c2_1(X91)
        | c1_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl0_1
    | ~ spl0_26
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f321,f571,f475,f499,f391]) ).

fof(f576,definition,
    ( spl0_43
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f580,definition,
    ( spl0_44
  <=> ! [X89] :
        ( c1_1(X89)
        | ~ c0_1(X89)
        | ~ c3_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f581,plain,
    ( ! [X89] :
        ( ~ c3_1(X89)
        | ~ c0_1(X89)
        | c1_1(X89) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f582,plain,
    ( spl0_43
    | spl0_13
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f320,f580,f475,f444,f576]) ).

fof(f585,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f356,f580,f475,f537,f399]) ).

fof(f587,definition,
    ( spl0_45
  <=> ! [X83] :
        ( c1_1(X83)
        | c3_1(X83)
        | c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c1_1(X83)
        | c2_1(X83) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_29
    | spl0_25
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f357,f587,f475,f495,f511]) ).

fof(f590,plain,
    ( spl0_21
    | spl0_30
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f358,f587,f475,f515,f479]) ).

fof(f591,plain,
    ( spl0_9
    | spl0_35
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f359,f587,f475,f537,f426]) ).

fof(f593,definition,
    ( spl0_46
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c0_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f594,plain,
    ( ! [X77] :
        ( c2_1(X77)
        | ~ c0_1(X77)
        | c1_1(X77) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( ~ spl0_15
    | ~ spl0_7
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f313,f593,f475,f417,f453]) ).

fof(f596,plain,
    ( ~ spl0_39
    | spl0_14
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f312,f593,f475,f448,f556]) ).

fof(f598,definition,
    ( spl0_47
  <=> ! [X75] :
        ( c2_1(X75)
        | ~ c1_1(X75)
        | ~ c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X75] :
        ( ~ c3_1(X75)
        | ~ c1_1(X75)
        | c2_1(X75) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( spl0_6
    | spl0_47
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f360,f593,f475,f598,f412]) ).

fof(f602,definition,
    ( spl0_48
  <=> ! [X73] :
        ( c2_1(X73)
        | c3_1(X73)
        | ~ c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f603,plain,
    ( ! [X73] :
        ( c3_1(X73)
        | c2_1(X73)
        | ~ c0_1(X73) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( spl0_48
    | spl0_38
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f361,f593,f475,f551,f602]) ).

fof(f606,definition,
    ( spl0_49
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c1_1(X70)
        | c2_1(X70) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( spl0_43
    | spl0_31
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f362,f606,f475,f519,f576]) ).

fof(f611,definition,
    ( spl0_50
  <=> ! [X67] :
        ( c0_1(X67)
        | c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f612,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_28
    | spl0_16
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f307,f611,f475,f457,f507]) ).

fof(f615,plain,
    ( spl0_22
    | spl0_36
    | ~ spl0_20
    | spl0_50 ),
    inference(avatar_split_clause,[],[f364,f611,f475,f542,f483]) ).

fof(f621,definition,
    ( spl0_52
  <=> ! [X61] :
        ( c0_1(X61)
        | c3_1(X61)
        | ~ c1_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | c0_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f625,definition,
    ( spl0_53
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ spl0_53
    | spl0_47
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f365,f621,f475,f598,f625]) ).

fof(f629,plain,
    ( ~ spl0_10
    | spl0_42
    | ~ spl0_20
    | spl0_52 ),
    inference(avatar_split_clause,[],[f366,f621,f475,f571,f431]) ).

fof(f631,definition,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f632,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f367,f631,f475,f587,f580]) ).

fof(f635,plain,
    ( ~ spl0_5
    | spl0_46
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f368,f631,f475,f593,f408]) ).

fof(f637,definition,
    ( spl0_55
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c2_1(X49)
        | ~ c3_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f638,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | ~ c2_1(X49)
        | c0_1(X49) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f641,definition,
    ( spl0_56
  <=> ! [X47] :
        ( c1_1(X47)
        | ~ c2_1(X47)
        | ~ c3_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f642,plain,
    ( ! [X47] :
        ( ~ c3_1(X47)
        | ~ c2_1(X47)
        | c1_1(X47) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_41
    | spl0_56
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f370,f637,f475,f641,f564]) ).

fof(f645,definition,
    ( spl0_57
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | ~ c3_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f646,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c1_1(X45)
        | c0_1(X45) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( spl0_34
    | ~ spl0_5
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f296,f645,f475,f408,f533]) ).

fof(f650,definition,
    ( spl0_58
  <=> ! [X41] :
        ( c0_1(X41)
        | c3_1(X41)
        | c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f651,plain,
    ( ! [X41] :
        ( c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( spl0_36
    | spl0_42
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f373,f650,f475,f571,f542]) ).

fof(f655,definition,
    ( spl0_59
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ spl0_59
    | spl0_45
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f374,f650,f475,f587,f655]) ).

fof(f660,definition,
    ( spl0_60
  <=> ! [X35] :
        ( c0_1(X35)
        | ~ c1_1(X35)
        | c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f661,plain,
    ( ! [X35] :
        ( c2_1(X35)
        | ~ c1_1(X35)
        | c0_1(X35) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f662,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f65,f660,f475,f491,f391]) ).

fof(f663,plain,
    ( ~ spl0_28
    | spl0_47
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f375,f660,f475,f598,f507]) ).

fof(f665,definition,
    ( spl0_61
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f666,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( ~ spl0_15
    | spl0_47
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f376,f665,f475,f598,f453]) ).

fof(f668,plain,
    ( spl0_33
    | spl0_47
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f377,f665,f475,f598,f528]) ).

fof(f669,plain,
    ( spl0_37
    | spl0_46
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f378,f665,f475,f593,f547]) ).

fof(f671,definition,
    ( spl0_62
  <=> ! [X26] :
        ( c0_1(X26)
        | c3_1(X26)
        | c1_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f672,plain,
    ( ! [X26] :
        ( c3_1(X26)
        | c0_1(X26)
        | c1_1(X26) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f287,f671,f475,f439,f412]) ).

fof(f675,plain,
    ( spl0_34
    | spl0_44
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f380,f671,f475,f580,f533]) ).

fof(f677,definition,
    ( spl0_63
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f678,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c0_1(X20)
        | c1_1(X20) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f681,plain,
    ( spl0_27
    | spl0_50
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f383,f677,f475,f611,f503]) ).

fof(f683,plain,
    ( spl0_42
    | spl0_54
    | ~ spl0_20
    | spl0_63 ),
    inference(avatar_split_clause,[],[f385,f677,f475,f631,f571]) ).

fof(f685,definition,
    ( spl0_64
  <=> ! [X7] :
        ( c0_1(X7)
        | ~ c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f686,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_3
    | spl0_42
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f386,f685,f475,f571,f399]) ).

fof(f688,plain,
    ( spl0_23
    | spl0_57
    | ~ spl0_20
    | spl0_64 ),
    inference(avatar_split_clause,[],[f387,f685,f475,f645,f487]) ).

fof(f700,definition,
    ( spl0_67
  <=> c1_1(a2597) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f702,plain,
    ( c1_1(a2597)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_67
    | spl0_19 ),
    inference(avatar_split_clause,[],[f277,f471,f700]) ).

fof(f705,definition,
    ( spl0_68
  <=> c0_1(a2597) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_68
    | spl0_19 ),
    inference(avatar_split_clause,[],[f276,f471,f705]) ).

fof(f711,definition,
    ( spl0_69
  <=> c2_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f713,plain,
    ( c2_1(a2558)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( spl0_69
    | spl0_18 ),
    inference(avatar_split_clause,[],[f274,f466,f711]) ).

fof(f716,definition,
    ( spl0_70
  <=> c1_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a2558)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_70
    | spl0_18 ),
    inference(avatar_split_clause,[],[f273,f466,f716]) ).

fof(f721,definition,
    ( spl0_71
  <=> c0_1(a2558) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f724,plain,
    ( spl0_71
    | spl0_18 ),
    inference(avatar_split_clause,[],[f272,f466,f721]) ).

fof(f727,definition,
    ( spl0_72
  <=> c3_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ c3_1(a2556)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( ~ spl0_72
    | spl0_29 ),
    inference(avatar_split_clause,[],[f270,f511,f727]) ).

fof(f732,definition,
    ( spl0_73
  <=> c2_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f734,plain,
    ( c2_1(a2556)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_73
    | spl0_29 ),
    inference(avatar_split_clause,[],[f269,f511,f732]) ).

fof(f737,definition,
    ( spl0_74
  <=> c1_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f740,plain,
    ( spl0_74
    | spl0_29 ),
    inference(avatar_split_clause,[],[f268,f511,f737]) ).

fof(f743,definition,
    ( spl0_75
  <=> c3_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c3_1(a2529)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( ~ spl0_75
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f266,f491,f743]) ).

fof(f748,definition,
    ( spl0_76
  <=> c2_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a2529)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_76
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f95,f491,f748]) ).

fof(f753,definition,
    ( spl0_77
  <=> c0_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_77
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f96,f491,f753]) ).

fof(f759,definition,
    ( spl0_78
  <=> c3_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f761,plain,
    ( c3_1(a2614)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( spl0_78
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f265,f395,f759]) ).

fof(f764,definition,
    ( spl0_79
  <=> c2_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c2_1(a2614)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_79
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f99,f395,f764]) ).

fof(f769,definition,
    ( spl0_80
  <=> c1_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f772,plain,
    ( spl0_80
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f100,f395,f769]) ).

fof(f773,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f395,f475]) ).

fof(f775,definition,
    ( spl0_81
  <=> c2_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ c2_1(a2601)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f778,plain,
    ( ~ spl0_81
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f102,f462,f775]) ).

fof(f780,definition,
    ( spl0_82
  <=> c3_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ c3_1(a2601)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_82
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f264,f462,f780]) ).

fof(f785,definition,
    ( spl0_83
  <=> c0_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f788,plain,
    ( spl0_83
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f104,f462,f785]) ).

fof(f791,definition,
    ( spl0_84
  <=> c2_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c2_1(a2564)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( ~ spl0_84
    | spl0_26 ),
    inference(avatar_split_clause,[],[f263,f499,f791]) ).

fof(f796,definition,
    ( spl0_85
  <=> c1_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ spl0_85
    | spl0_26 ),
    inference(avatar_split_clause,[],[f262,f499,f796]) ).

fof(f801,definition,
    ( spl0_86
  <=> c0_1(a2564) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f804,plain,
    ( spl0_86
    | spl0_26 ),
    inference(avatar_split_clause,[],[f261,f499,f801]) ).

fof(f807,definition,
    ( spl0_87
  <=> c1_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_87
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f110,f426,f807]) ).

fof(f812,definition,
    ( spl0_88
  <=> c2_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f814,plain,
    ( c2_1(a2555)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_88
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f111,f426,f812]) ).

fof(f817,definition,
    ( spl0_89
  <=> c0_1(a2555) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f820,plain,
    ( spl0_89
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f112,f426,f817]) ).

fof(f823,definition,
    ( spl0_90
  <=> c3_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f825,plain,
    ( c3_1(a2553)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_90
    | spl0_7 ),
    inference(avatar_split_clause,[],[f259,f417,f823]) ).

fof(f828,definition,
    ( spl0_91
  <=> c1_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_91
    | spl0_7 ),
    inference(avatar_split_clause,[],[f258,f417,f828]) ).

fof(f833,definition,
    ( spl0_92
  <=> c0_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f836,plain,
    ( spl0_92
    | spl0_7 ),
    inference(avatar_split_clause,[],[f257,f417,f833]) ).

fof(f837,plain,
    ( spl0_20
    | spl0_7 ),
    inference(avatar_split_clause,[],[f256,f417,f475]) ).

fof(f839,definition,
    ( spl0_93
  <=> c3_1(a2552) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f841,plain,
    ( c3_1(a2552)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f842,plain,
    ( spl0_93
    | spl0_39 ),
    inference(avatar_split_clause,[],[f255,f556,f839]) ).

fof(f844,definition,
    ( spl0_94
  <=> c1_1(a2552) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ spl0_94
    | spl0_39 ),
    inference(avatar_split_clause,[],[f254,f556,f844]) ).

fof(f849,definition,
    ( spl0_95
  <=> c2_1(a2552) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_95
    | spl0_39 ),
    inference(avatar_split_clause,[],[f253,f556,f849]) ).

fof(f855,definition,
    ( spl0_96
  <=> c2_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ c2_1(a2551)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( ~ spl0_96
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f448,f855]) ).

fof(f860,definition,
    ( spl0_97
  <=> c1_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f862,plain,
    ( c1_1(a2551)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( spl0_97
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f448,f860]) ).

fof(f865,definition,
    ( spl0_98
  <=> c0_1(a2551) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f868,plain,
    ( spl0_98
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f448,f865]) ).

fof(f871,definition,
    ( spl0_99
  <=> c1_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ spl0_99
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f126,f444,f871]) ).

fof(f876,definition,
    ( spl0_100
  <=> c0_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_100
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f127,f444,f876]) ).

fof(f881,definition,
    ( spl0_101
  <=> c2_1(a2549) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f883,plain,
    ( c2_1(a2549)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl0_101
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f128,f444,f881]) ).

fof(f903,definition,
    ( spl0_105
  <=> c0_1(a2545) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ spl0_105
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f134,f457,f903]) ).

fof(f908,definition,
    ( spl0_106
  <=> c2_1(a2545) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f910,plain,
    ( c2_1(a2545)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( spl0_106
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f135,f457,f908]) ).

fof(f913,definition,
    ( spl0_107
  <=> c1_1(a2545) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_107
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f136,f457,f913]) ).

fof(f919,definition,
    ( spl0_108
  <=> c2_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ c2_1(a2541)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( ~ spl0_108
    | spl0_53 ),
    inference(avatar_split_clause,[],[f247,f625,f919]) ).

fof(f924,definition,
    ( spl0_109
  <=> c1_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ spl0_109
    | spl0_53 ),
    inference(avatar_split_clause,[],[f246,f625,f924]) ).

fof(f929,definition,
    ( spl0_110
  <=> c3_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c3_1(a2541)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( ~ spl0_110
    | spl0_53 ),
    inference(avatar_split_clause,[],[f245,f625,f929]) ).

fof(f935,definition,
    ( spl0_111
  <=> c3_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f937,plain,
    ( c3_1(a2540)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( spl0_111
    | spl0_10 ),
    inference(avatar_split_clause,[],[f243,f431,f935]) ).

fof(f940,definition,
    ( spl0_112
  <=> c2_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ c2_1(a2540)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( ~ spl0_112
    | spl0_10 ),
    inference(avatar_split_clause,[],[f242,f431,f940]) ).

fof(f945,definition,
    ( spl0_113
  <=> c0_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f948,plain,
    ( spl0_113
    | spl0_10 ),
    inference(avatar_split_clause,[],[f241,f431,f945]) ).

fof(f967,definition,
    ( spl0_117
  <=> c3_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f969,plain,
    ( c3_1(a2536)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f970,plain,
    ( spl0_117
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f235,f576,f967]) ).

fof(f972,definition,
    ( spl0_118
  <=> c1_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ spl0_118
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f151,f576,f972]) ).

fof(f977,definition,
    ( spl0_119
  <=> c0_1(a2536) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ spl0_119
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f152,f576,f977]) ).

fof(f983,definition,
    ( spl0_120
  <=> c2_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ c2_1(a2534)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f986,plain,
    ( ~ spl0_120
    | spl0_5 ),
    inference(avatar_split_clause,[],[f234,f408,f983]) ).

fof(f988,definition,
    ( spl0_121
  <=> c0_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ spl0_121
    | spl0_5 ),
    inference(avatar_split_clause,[],[f233,f408,f988]) ).

fof(f993,definition,
    ( spl0_122
  <=> c1_1(a2534) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f996,plain,
    ( spl0_122
    | spl0_5 ),
    inference(avatar_split_clause,[],[f232,f408,f993]) ).

fof(f999,definition,
    ( spl0_123
  <=> c3_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1001,plain,
    ( c3_1(a2533)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1002,plain,
    ( spl0_123
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f230,f404,f999]) ).

fof(f1004,definition,
    ( spl0_124
  <=> c2_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c2_1(a2533)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( ~ spl0_124
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f159,f404,f1004]) ).

fof(f1009,definition,
    ( spl0_125
  <=> c1_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ spl0_125
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f160,f404,f1009]) ).

fof(f1015,definition,
    ( spl0_126
  <=> c3_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1017,plain,
    ( c3_1(a2531)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( spl0_126
    | spl0_59 ),
    inference(avatar_split_clause,[],[f229,f655,f1015]) ).

fof(f1020,definition,
    ( spl0_127
  <=> c2_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1022,plain,
    ( c2_1(a2531)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1023,plain,
    ( spl0_127
    | spl0_59 ),
    inference(avatar_split_clause,[],[f228,f655,f1020]) ).

fof(f1025,definition,
    ( spl0_128
  <=> c1_1(a2531) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1028,plain,
    ( spl0_128
    | spl0_59 ),
    inference(avatar_split_clause,[],[f227,f655,f1025]) ).

fof(f1031,definition,
    ( spl0_129
  <=> c1_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1034,plain,
    ( ~ spl0_129
    | spl0_28 ),
    inference(avatar_split_clause,[],[f225,f507,f1031]) ).

fof(f1036,definition,
    ( spl0_130
  <=> c0_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1039,plain,
    ( ~ spl0_130
    | spl0_28 ),
    inference(avatar_split_clause,[],[f224,f507,f1036]) ).

fof(f1041,definition,
    ( spl0_131
  <=> c3_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ c3_1(a2528)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( ~ spl0_131
    | spl0_28 ),
    inference(avatar_split_clause,[],[f223,f507,f1041]) ).

fof(f1047,definition,
    ( spl0_132
  <=> c0_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ spl0_132
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f170,f528,f1047]) ).

fof(f1052,definition,
    ( spl0_133
  <=> c3_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1054,plain,
    ( ~ c3_1(a2526)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1055,plain,
    ( ~ spl0_133
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f221,f528,f1052]) ).

fof(f1057,definition,
    ( spl0_134
  <=> c1_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1060,plain,
    ( spl0_134
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f172,f528,f1057]) ).

fof(f1063,definition,
    ( spl0_135
  <=> c3_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1065,plain,
    ( c3_1(a2525)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1066,plain,
    ( spl0_135
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f220,f547,f1063]) ).

fof(f1068,definition,
    ( spl0_136
  <=> c2_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1070,plain,
    ( c2_1(a2525)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f175,f547,f1068]) ).

fof(f1073,definition,
    ( spl0_137
  <=> c0_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1076,plain,
    ( spl0_137
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f176,f547,f1073]) ).

fof(f1079,definition,
    ( spl0_138
  <=> c2_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ spl0_138
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f412,f1079]) ).

fof(f1084,definition,
    ( spl0_139
  <=> c3_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1086,plain,
    ( ~ c3_1(a2524)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1087,plain,
    ( ~ spl0_139
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f219,f412,f1084]) ).

fof(f1089,definition,
    ( spl0_140
  <=> c1_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1092,plain,
    ( spl0_140
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f180,f412,f1089]) ).

fof(f1095,definition,
    ( spl0_141
  <=> c3_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1097,plain,
    ( c3_1(a2523)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1098,plain,
    ( spl0_141
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f218,f439,f1095]) ).

fof(f1100,definition,
    ( spl0_142
  <=> c1_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1102,plain,
    ( c1_1(a2523)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1103,plain,
    ( spl0_142
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f183,f439,f1100]) ).

fof(f1105,definition,
    ( spl0_143
  <=> c0_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1108,plain,
    ( spl0_143
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f184,f439,f1105]) ).

fof(f1127,definition,
    ( spl0_147
  <=> c1_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ spl0_147
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f190,f533,f1127]) ).

fof(f1132,definition,
    ( spl0_148
  <=> c3_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1134,plain,
    ( ~ c3_1(a2521)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1135,plain,
    ( ~ spl0_148
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f216,f533,f1132]) ).

fof(f1137,definition,
    ( spl0_149
  <=> c2_1(a2521) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1140,plain,
    ( spl0_149
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f192,f533,f1137]) ).

fof(f1143,definition,
    ( spl0_150
  <=> c3_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1145,plain,
    ( c3_1(a2519)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1146,plain,
    ( spl0_150
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f215,f391,f1143]) ).

fof(f1148,definition,
    ( spl0_151
  <=> c2_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1151,plain,
    ( ~ spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f195,f391,f1148]) ).

fof(f1153,definition,
    ( spl0_152
  <=> c0_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1156,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f196,f391,f1153]) ).

fof(f1157,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f197,f391,f475]) ).

fof(f1159,definition,
    ( spl0_153
  <=> c3_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1161,plain,
    ( c3_1(a2518)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( spl0_153
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f214,f399,f1159]) ).

fof(f1164,definition,
    ( spl0_154
  <=> c0_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1167,plain,
    ( ~ spl0_154
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f199,f399,f1164]) ).

fof(f1169,definition,
    ( spl0_155
  <=> c1_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1172,plain,
    ( spl0_155
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f399,f1169]) ).

fof(f1175,definition,
    ( spl0_156
  <=> c3_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1177,plain,
    ( c3_1(a2517)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1178,plain,
    ( spl0_156
    | spl0_15 ),
    inference(avatar_split_clause,[],[f213,f453,f1175]) ).

fof(f1180,definition,
    ( spl0_157
  <=> c0_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ spl0_157
    | spl0_15 ),
    inference(avatar_split_clause,[],[f212,f453,f1180]) ).

fof(f1185,definition,
    ( spl0_158
  <=> c2_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1187,plain,
    ( c2_1(a2517)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1188,plain,
    ( spl0_158
    | spl0_15 ),
    inference(avatar_split_clause,[],[f211,f453,f1185]) ).

fof(f1259,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(resolution,[],[f496,f480]) ).

fof(f1260,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1259]) ).

fof(f1263,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(resolution,[],[f504,f484]) ).

fof(f1266,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1263]) ).

fof(f1275,plain,
    ( c2_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_31
    | spl0_139 ),
    inference(resolution,[],[f520,f1086]) ).

fof(f1288,plain,
    ( c2_1(a2601)
    | ~ c1_1(a2601)
    | ~ spl0_31
    | spl0_82 ),
    inference(resolution,[],[f520,f782]) ).

fof(f1294,definition,
    ( spl0_163
  <=> c1_1(a2529) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1299,definition,
    ( spl0_164
  <=> c1_1(a2601) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1300,plain,
    ( c1_1(a2601)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f1302,plain,
    ( ~ spl0_164
    | spl0_81
    | ~ spl0_31
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1288,f780,f519,f775,f1299]) ).

fof(f1304,definition,
    ( spl0_165
  <=> c1_1(a2540) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1314,definition,
    ( spl0_167
  <=> c1_1(a2525) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1324,definition,
    ( spl0_169
  <=> c1_1(a2519) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1329,definition,
    ( spl0_170
  <=> c1_1(a2517) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1335,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_32 ),
    inference(resolution,[],[f525,f488]) ).

fof(f1352,plain,
    ( ~ c1_1(a2551)
    | ~ c0_1(a2551)
    | ~ spl0_32
    | spl0_96 ),
    inference(resolution,[],[f525,f857]) ).

fof(f1357,plain,
    ( ~ c1_1(a2614)
    | ~ c0_1(a2614)
    | ~ spl0_32
    | spl0_79 ),
    inference(resolution,[],[f525,f766]) ).

fof(f1361,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1335]) ).

fof(f1365,definition,
    ( spl0_171
  <=> c0_1(a2614) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1368,plain,
    ( ~ spl0_171
    | ~ spl0_80
    | ~ spl0_32
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1357,f764,f524,f769,f1365]) ).

fof(f1370,plain,
    ( ~ c0_1(a2558)
    | ~ spl0_22
    | ~ spl0_27
    | ~ spl0_69 ),
    inference(resolution,[],[f713,f1266]) ).

fof(f1375,plain,
    ( ~ spl0_71
    | ~ spl0_22
    | ~ spl0_27
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1370,f711,f503,f483,f721]) ).

fof(f1406,plain,
    ( ~ c1_1(a2556)
    | ~ c2_1(a2556)
    | ~ spl0_21
    | spl0_72 ),
    inference(resolution,[],[f480,f729]) ).

fof(f1416,plain,
    ( ~ c0_1(a2529)
    | ~ c1_1(a2529)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(resolution,[],[f488,f750]) ).

fof(f1417,plain,
    ( ~ c0_1(a2558)
    | ~ c1_1(a2558)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f488,f713]) ).

fof(f1430,plain,
    ( ~ c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_36
    | spl0_139 ),
    inference(resolution,[],[f543,f1086]) ).

fof(f1445,plain,
    ( ~ c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_36
    | spl0_72 ),
    inference(resolution,[],[f543,f729]) ).

fof(f1472,definition,
    ( spl0_173
  <=> c2_1(a2553) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1473,plain,
    ( c2_1(a2553)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f1482,definition,
    ( spl0_175
  <=> c2_1(a2528) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1483,plain,
    ( c2_1(a2528)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1487,definition,
    ( spl0_176
  <=> c2_1(a2526) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1488,plain,
    ( c2_1(a2526)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1487]) ).

fof(f1492,definition,
    ( spl0_177
  <=> c2_1(a2523) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1493,plain,
    ( c2_1(a2523)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1492]) ).

fof(f1497,definition,
    ( spl0_178
  <=> c2_1(a2518) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1502,plain,
    ( ~ c0_1(a2525)
    | ~ c1_1(a2525)
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(resolution,[],[f1070,f488]) ).

fof(f1503,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(resolution,[],[f565,f538]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1503]) ).

fof(f1527,definition,
    ( spl0_179
  <=> c0_1(a2556) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1540,definition,
    ( spl0_181
  <=> c0_1(a2541) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1545,definition,
    ( spl0_182
  <=> c0_1(a2533) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1555,definition,
    ( spl0_184
  <=> c0_1(a2524) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1568,plain,
    ( c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f572,f1070]) ).

fof(f1572,plain,
    ( c1_1(a2529)
    | ~ c0_1(a2529)
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(resolution,[],[f572,f750]) ).

fof(f1574,plain,
    ( ~ spl0_77
    | spl0_163
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1572,f748,f571,f1294,f753]) ).

fof(f1582,plain,
    ( ~ c0_1(a2525)
    | c1_1(a2525)
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(resolution,[],[f581,f1065]) ).

fof(f1583,plain,
    ( ~ c0_1(a2540)
    | c1_1(a2540)
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(resolution,[],[f581,f937]) ).

fof(f1588,plain,
    ( spl0_165
    | ~ spl0_113
    | ~ spl0_44
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1583,f935,f580,f945,f1304]) ).

fof(f1600,plain,
    ( ~ c0_1(a2556)
    | ~ c1_1(a2556)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f734,f488]) ).

fof(f1604,plain,
    ( ~ c0_1(a2523)
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(resolution,[],[f1102,f1361]) ).

fof(f1605,plain,
    ( ~ spl0_143
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1604,f1100,f524,f487,f1105]) ).

fof(f1625,plain,
    ( ~ c0_1(a2529)
    | ~ c2_1(a2529)
    | ~ spl0_22
    | spl0_75 ),
    inference(resolution,[],[f484,f745]) ).

fof(f1634,plain,
    ( ~ c0_1(a2614)
    | c2_1(a2614)
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(resolution,[],[f538,f761]) ).

fof(f1658,plain,
    ( c1_1(a2555)
    | ~ c0_1(a2555)
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(resolution,[],[f572,f814]) ).

fof(f1666,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(resolution,[],[f588,f538]) ).

fof(f1672,plain,
    ( c1_1(a2524)
    | c2_1(a2524)
    | ~ spl0_45
    | spl0_139 ),
    inference(resolution,[],[f588,f1086]) ).

fof(f1675,plain,
    ( c1_1(a2528)
    | c2_1(a2528)
    | ~ spl0_45
    | spl0_131 ),
    inference(resolution,[],[f588,f1043]) ).

fof(f1680,plain,
    ( c1_1(a2541)
    | c2_1(a2541)
    | ~ spl0_45
    | spl0_110 ),
    inference(resolution,[],[f588,f931]) ).

fof(f1686,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1666]) ).

fof(f1714,plain,
    ( ~ c0_1(a2553)
    | c1_1(a2553)
    | ~ spl0_44
    | ~ spl0_90 ),
    inference(resolution,[],[f825,f581]) ).

fof(f1715,plain,
    ( ~ c0_1(a2553)
    | c2_1(a2553)
    | ~ spl0_35
    | ~ spl0_90 ),
    inference(resolution,[],[f825,f538]) ).

fof(f1722,plain,
    ( c1_1(a2553)
    | ~ c0_1(a2553)
    | ~ spl0_42
    | ~ spl0_173 ),
    inference(resolution,[],[f1473,f572]) ).

fof(f1727,plain,
    ( ~ c2_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_25
    | ~ spl0_156 ),
    inference(resolution,[],[f496,f1177]) ).

fof(f1728,plain,
    ( ~ c2_1(a2518)
    | ~ c1_1(a2518)
    | ~ spl0_25
    | ~ spl0_153 ),
    inference(resolution,[],[f496,f1161]) ).

fof(f1754,plain,
    ( ~ c0_1(a2564)
    | c1_1(a2564)
    | ~ spl0_46
    | spl0_84 ),
    inference(resolution,[],[f594,f793]) ).

fof(f1755,plain,
    ( ~ c0_1(a2601)
    | c1_1(a2601)
    | ~ spl0_46
    | spl0_81 ),
    inference(resolution,[],[f594,f777]) ).

fof(f1766,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(resolution,[],[f599,f543]) ).

fof(f1768,plain,
    ( ~ c1_1(a2518)
    | c2_1(a2518)
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f599,f1161]) ).

fof(f1772,plain,
    ( ~ c1_1(a2614)
    | c2_1(a2614)
    | ~ spl0_47
    | ~ spl0_78 ),
    inference(resolution,[],[f599,f761]) ).

fof(f1773,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1766]) ).

fof(f1788,plain,
    ( c2_1(a2524)
    | ~ c0_1(a2524)
    | ~ spl0_48
    | spl0_139 ),
    inference(resolution,[],[f603,f1086]) ).

fof(f1798,plain,
    ( c2_1(a2601)
    | ~ c0_1(a2601)
    | ~ spl0_48
    | spl0_82 ),
    inference(resolution,[],[f603,f782]) ).

fof(f1804,plain,
    ( ~ spl0_83
    | spl0_81
    | ~ spl0_48
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1798,f780,f602,f775,f785]) ).

fof(f1813,plain,
    ( ~ c0_1(a2523)
    | c2_1(a2523)
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(resolution,[],[f1097,f538]) ).

fof(f1817,plain,
    ( ~ c0_1(a2523)
    | ~ c1_1(a2523)
    | ~ spl0_23
    | ~ spl0_177 ),
    inference(resolution,[],[f1493,f488]) ).

fof(f1825,plain,
    ( c1_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_38
    | spl0_131 ),
    inference(resolution,[],[f552,f1043]) ).

fof(f1834,plain,
    ( c1_1(a2529)
    | ~ c2_1(a2529)
    | ~ spl0_38
    | spl0_75 ),
    inference(resolution,[],[f552,f745]) ).

fof(f1846,plain,
    ( c1_1(a2553)
    | c2_1(a2553)
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(resolution,[],[f607,f825]) ).

fof(f1856,plain,
    ( c0_1(a2524)
    | ~ c1_1(a2524)
    | ~ spl0_52
    | spl0_139 ),
    inference(resolution,[],[f622,f1086]) ).

fof(f1879,plain,
    ( spl0_79
    | ~ spl0_171
    | ~ spl0_35
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1634,f759,f537,f1365,f764]) ).

fof(f1940,plain,
    ( ~ c2_1(a2517)
    | c0_1(a2517)
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(resolution,[],[f638,f1177]) ).

fof(f1962,plain,
    ( ~ c2_1(a2517)
    | c1_1(a2517)
    | ~ spl0_56
    | ~ spl0_156 ),
    inference(resolution,[],[f642,f1177]) ).

fof(f1967,plain,
    ( ~ c2_1(a2552)
    | c1_1(a2552)
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(resolution,[],[f642,f841]) ).

fof(f1977,plain,
    ( spl0_94
    | ~ spl0_95
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1967,f839,f641,f849,f844]) ).

fof(f1979,plain,
    ( spl0_170
    | ~ spl0_158
    | ~ spl0_56
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1962,f1175,f641,f1185,f1329]) ).

fof(f1992,plain,
    ( c1_1(a2521)
    | ~ c2_1(a2521)
    | ~ spl0_38
    | spl0_148 ),
    inference(resolution,[],[f1134,f552]) ).

fof(f1995,plain,
    ( ~ c0_1(a2601)
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_164 ),
    inference(resolution,[],[f1300,f1361]) ).

fof(f1996,plain,
    ( ~ spl0_83
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1995,f1299,f524,f487,f785]) ).

fof(f1997,plain,
    ( spl0_157
    | ~ spl0_158
    | ~ spl0_55
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1940,f1175,f637,f1185,f1180]) ).

fof(f2001,plain,
    ( c0_1(a2545)
    | ~ c1_1(a2545)
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(resolution,[],[f910,f632]) ).

fof(f2016,plain,
    ( ~ c1_1(a2526)
    | ~ c2_1(a2526)
    | ~ spl0_21
    | spl0_133 ),
    inference(resolution,[],[f480,f1054]) ).

fof(f2027,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(resolution,[],[f516,f484]) ).

fof(f2028,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(resolution,[],[f516,f543]) ).

fof(f2031,plain,
    ( ~ c1_1(a2523)
    | ~ c0_1(a2523)
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(resolution,[],[f516,f1097]) ).

fof(f2033,plain,
    ( ~ c1_1(a2540)
    | ~ c0_1(a2540)
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(resolution,[],[f516,f937]) ).

fof(f2040,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f2028]) ).

fof(f2041,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f2027]) ).

fof(f2047,plain,
    ( ~ c0_1(a2551)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(resolution,[],[f2040,f862]) ).

fof(f2049,plain,
    ( ~ c0_1(a2558)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_70 ),
    inference(resolution,[],[f2040,f718]) ).

fof(f2050,plain,
    ( ~ c0_1(a2597)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(resolution,[],[f2040,f702]) ).

fof(f2051,plain,
    ( ~ spl0_98
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2047,f860,f542,f515,f865]) ).

fof(f2056,plain,
    ( ~ c2_1(a2518)
    | c0_1(a2518)
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f638,f1161]) ).

fof(f2073,plain,
    ( ~ c1_1(a2518)
    | c0_1(a2518)
    | ~ spl0_57
    | ~ spl0_153 ),
    inference(resolution,[],[f646,f1161]) ).

fof(f2079,plain,
    ( ~ c1_1(a2614)
    | c0_1(a2614)
    | ~ spl0_57
    | ~ spl0_78 ),
    inference(resolution,[],[f646,f761]) ).

fof(f2085,plain,
    ( spl0_171
    | ~ spl0_80
    | ~ spl0_57
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2079,f759,f645,f769,f1365]) ).

fof(f2086,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_57
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2073,f1159,f645,f1169,f1164]) ).

fof(f2096,plain,
    ( c0_1(a2524)
    | c2_1(a2524)
    | ~ spl0_58
    | spl0_139 ),
    inference(resolution,[],[f651,f1086]) ).

fof(f2098,plain,
    ( c0_1(a2526)
    | c2_1(a2526)
    | ~ spl0_58
    | spl0_133 ),
    inference(resolution,[],[f651,f1054]) ).

fof(f2099,plain,
    ( c0_1(a2528)
    | c2_1(a2528)
    | ~ spl0_58
    | spl0_131 ),
    inference(resolution,[],[f651,f1043]) ).

fof(f2102,plain,
    ( c0_1(a2541)
    | c2_1(a2541)
    | ~ spl0_58
    | spl0_110 ),
    inference(resolution,[],[f651,f931]) ).

fof(f2117,plain,
    ( ~ c2_1(a2531)
    | ~ c1_1(a2531)
    | ~ spl0_25
    | ~ spl0_126 ),
    inference(resolution,[],[f1017,f496]) ).

fof(f2119,plain,
    ( ~ c1_1(a2531)
    | ~ spl0_21
    | ~ spl0_25
    | ~ spl0_127 ),
    inference(resolution,[],[f1022,f1260]) ).

fof(f2123,plain,
    ( ~ spl0_128
    | ~ spl0_21
    | ~ spl0_25
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2119,f1020,f495,f479,f1025]) ).

fof(f2124,plain,
    ( ~ spl0_143
    | ~ spl0_142
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2031,f1095,f515,f1100,f1105]) ).

fof(f2128,plain,
    ( spl0_173
    | ~ spl0_92
    | ~ spl0_35
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1715,f823,f537,f833,f1472]) ).

fof(f2130,plain,
    ( ~ spl0_140
    | spl0_184
    | ~ spl0_52
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1856,f1084,f621,f1555,f1089]) ).

fof(f2136,plain,
    ( spl0_138
    | spl0_184
    | ~ spl0_58
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2096,f1084,f650,f1555,f1079]) ).

fof(f2137,plain,
    ( spl0_176
    | spl0_132
    | ~ spl0_58
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2098,f1052,f650,f1047,f1487]) ).

fof(f2138,plain,
    ( spl0_175
    | spl0_130
    | ~ spl0_58
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2099,f1041,f650,f1036,f1482]) ).

fof(f2139,plain,
    ( spl0_108
    | spl0_181
    | ~ spl0_58
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2102,f929,f650,f1540,f919]) ).

fof(f2140,plain,
    ( ~ spl0_142
    | ~ spl0_143
    | ~ spl0_23
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1817,f1492,f487,f1105,f1100]) ).

fof(f2148,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_31
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1275,f1084,f519,f1079,f1089]) ).

fof(f2151,plain,
    ( ~ spl0_140
    | ~ spl0_184
    | ~ spl0_36
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1430,f1084,f542,f1555,f1089]) ).

fof(f2155,plain,
    ( ~ spl0_74
    | ~ spl0_179
    | ~ spl0_36
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1445,f727,f542,f1527,f737]) ).

fof(f2156,plain,
    ( spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1773,f598,f542,f524]) ).

fof(f2164,plain,
    ( spl0_175
    | spl0_129
    | ~ spl0_45
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1675,f1041,f587,f1031,f1482]) ).

fof(f2165,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_45
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1680,f929,f587,f924,f919]) ).

fof(f2167,plain,
    ( spl0_79
    | ~ spl0_80
    | ~ spl0_47
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1772,f759,f598,f769,f764]) ).

fof(f2168,plain,
    ( spl0_178
    | ~ spl0_155
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1768,f1159,f598,f1169,f1497]) ).

fof(f2171,plain,
    ( ~ spl0_76
    | spl0_163
    | ~ spl0_38
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1834,f743,f551,f1294,f748]) ).

fof(f2173,plain,
    ( spl0_154
    | ~ spl0_178
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2056,f1159,f637,f1497,f1164]) ).

fof(f2174,plain,
    ( ~ spl0_163
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1416,f748,f487,f753,f1294]) ).

fof(f2181,plain,
    ( ~ spl0_74
    | ~ spl0_179
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1600,f732,f487,f1527,f737]) ).

fof(f2184,plain,
    ( spl0_46
    | ~ spl0_35
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1525,f564,f537,f593]) ).

fof(f2188,plain,
    ( spl0_46
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1686,f587,f537,f593]) ).

fof(f2189,plain,
    ( spl0_177
    | ~ spl0_143
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1813,f1095,f537,f1105,f1492]) ).

fof(f2197,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_32
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1352,f855,f524,f860,f865]) ).

fof(f2212,plain,
    ( c0_1(a2517)
    | ~ c1_1(a2517)
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(resolution,[],[f1187,f632]) ).

fof(f2220,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_54
    | ~ spl0_176 ),
    inference(resolution,[],[f1488,f632]) ).

fof(f2251,plain,
    ( ~ c0_1(a2540)
    | c2_1(a2540)
    | ~ spl0_35
    | ~ spl0_111 ),
    inference(resolution,[],[f538,f937]) ).

fof(f2262,plain,
    ( c1_1(a2601)
    | ~ c0_1(a2601)
    | ~ spl0_41
    | spl0_82 ),
    inference(resolution,[],[f565,f782]) ).

fof(f2279,plain,
    ( ~ c0_1(a2533)
    | c1_1(a2533)
    | ~ spl0_46
    | spl0_124 ),
    inference(resolution,[],[f594,f1006]) ).

fof(f2283,plain,
    ( ~ c0_1(a2540)
    | c1_1(a2540)
    | ~ spl0_46
    | spl0_112 ),
    inference(resolution,[],[f594,f942]) ).

fof(f2284,plain,
    ( ~ c0_1(a2541)
    | c1_1(a2541)
    | ~ spl0_46
    | spl0_108 ),
    inference(resolution,[],[f594,f921]) ).

fof(f2289,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(resolution,[],[f599,f520]) ).

fof(f2293,plain,
    ( ~ c1_1(a2519)
    | c2_1(a2519)
    | ~ spl0_47
    | ~ spl0_150 ),
    inference(resolution,[],[f599,f1145]) ).

fof(f2303,plain,
    ( ~ c1_1(a2540)
    | c2_1(a2540)
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(resolution,[],[f599,f937]) ).

fof(f2310,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2289]) ).

fof(f2313,plain,
    ( spl0_151
    | ~ spl0_169
    | ~ spl0_47
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2293,f1143,f598,f1324,f1148]) ).

fof(f2317,plain,
    ( c0_1(a2528)
    | ~ c2_1(a2528)
    | ~ spl0_50
    | spl0_131 ),
    inference(resolution,[],[f612,f1043]) ).

fof(f2320,plain,
    ( c0_1(a2556)
    | ~ c2_1(a2556)
    | ~ spl0_50
    | spl0_72 ),
    inference(resolution,[],[f612,f729]) ).

fof(f2330,plain,
    ( ~ c1_1(a2534)
    | ~ spl0_31
    | ~ spl0_47
    | spl0_120 ),
    inference(resolution,[],[f2310,f985]) ).

fof(f2337,plain,
    ( ~ spl0_122
    | ~ spl0_31
    | ~ spl0_47
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2330,f983,f598,f519,f993]) ).

fof(f2340,plain,
    ( c0_1(a2526)
    | ~ c1_1(a2526)
    | ~ spl0_52
    | spl0_133 ),
    inference(resolution,[],[f622,f1054]) ).

fof(f2362,plain,
    ( ~ c1_1(a2534)
    | c0_1(a2534)
    | ~ spl0_60
    | spl0_120 ),
    inference(resolution,[],[f661,f985]) ).

fof(f2378,plain,
    ( c0_1(a2519)
    | c2_1(a2519)
    | ~ spl0_61
    | ~ spl0_150 ),
    inference(resolution,[],[f666,f1145]) ).

fof(f2393,plain,
    ( c0_1(a2614)
    | c2_1(a2614)
    | ~ spl0_61
    | ~ spl0_78 ),
    inference(resolution,[],[f666,f761]) ).

fof(f2413,plain,
    ( c0_1(a2528)
    | c1_1(a2528)
    | ~ spl0_62
    | spl0_131 ),
    inference(resolution,[],[f672,f1043]) ).

fof(f2427,plain,
    ( c0_1(a2528)
    | c1_1(a2528)
    | ~ spl0_63
    | ~ spl0_175 ),
    inference(resolution,[],[f678,f1483]) ).

fof(f2429,plain,
    ( c0_1(a2549)
    | c1_1(a2549)
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(resolution,[],[f678,f883]) ).

fof(f2456,plain,
    ( c0_1(a2517)
    | c1_1(a2517)
    | ~ spl0_64
    | ~ spl0_156 ),
    inference(resolution,[],[f686,f1177]) ).

fof(f2458,plain,
    ( c0_1(a2519)
    | c1_1(a2519)
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(resolution,[],[f686,f1145]) ).

fof(f2465,plain,
    ( c0_1(a2533)
    | c1_1(a2533)
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(resolution,[],[f686,f1001]) ).

fof(f2466,plain,
    ( c0_1(a2536)
    | c1_1(a2536)
    | ~ spl0_64
    | ~ spl0_117 ),
    inference(resolution,[],[f686,f969]) ).

fof(f2486,plain,
    ( spl0_118
    | spl0_119
    | ~ spl0_64
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2466,f967,f685,f977,f972]) ).

fof(f2487,plain,
    ( spl0_125
    | spl0_182
    | ~ spl0_64
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2465,f999,f685,f1545,f1009]) ).

fof(f2492,plain,
    ( spl0_169
    | spl0_152
    | ~ spl0_64
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2458,f1143,f685,f1153,f1324]) ).

fof(f2494,plain,
    ( spl0_170
    | spl0_157
    | ~ spl0_64
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2456,f1175,f685,f1180,f1329]) ).

fof(f2504,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_22
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1625,f743,f483,f753,f748]) ).

fof(f2507,plain,
    ( spl0_23
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2041,f515,f483,f487]) ).

fof(f2510,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2049,f716,f542,f515,f721]) ).

fof(f2511,plain,
    ( ~ spl0_68
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2050,f700,f542,f515,f705]) ).

fof(f2517,plain,
    ( ~ spl0_73
    | spl0_179
    | ~ spl0_50
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2320,f727,f611,f1527,f732]) ).

fof(f2519,plain,
    ( ~ spl0_175
    | spl0_130
    | ~ spl0_50
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2317,f1041,f611,f1036,f1482]) ).

fof(f2523,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1417,f711,f487,f721,f716]) ).

fof(f2531,plain,
    ( spl0_85
    | ~ spl0_86
    | ~ spl0_46
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1754,f791,f593,f801,f796]) ).

fof(f2532,plain,
    ( spl0_164
    | ~ spl0_83
    | ~ spl0_46
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1755,f775,f593,f785,f1299]) ).

fof(f2533,plain,
    ( spl0_125
    | ~ spl0_182
    | ~ spl0_46
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2279,f1004,f593,f1545,f1009]) ).

fof(f2534,plain,
    ( spl0_165
    | ~ spl0_113
    | ~ spl0_46
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2283,f940,f593,f945,f1304]) ).

fof(f2535,plain,
    ( spl0_109
    | ~ spl0_181
    | ~ spl0_46
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2284,f919,f593,f1540,f924]) ).

fof(f2537,plain,
    ( spl0_173
    | spl0_91
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1846,f823,f606,f828,f1472]) ).

fof(f2540,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_63
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f2427,f1482,f677,f1036,f1031]) ).

fof(f2542,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2429,f881,f677,f876,f871]) ).

fof(f2548,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_62
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2413,f1041,f671,f1036,f1031]) ).

fof(f2557,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_21
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1406,f727,f479,f737,f732]) ).

fof(f2563,plain,
    ( ~ spl0_176
    | ~ spl0_134
    | ~ spl0_21
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2016,f1052,f479,f1057,f1487]) ).

fof(f2566,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2001,f908,f631,f903,f913]) ).

fof(f2568,plain,
    ( ~ spl0_170
    | spl0_157
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2212,f1185,f631,f1180,f1329]) ).

fof(f2569,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_54
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2220,f1487,f631,f1047,f1057]) ).

fof(f2573,plain,
    ( spl0_138
    | spl0_140
    | ~ spl0_45
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1672,f1084,f587,f1089,f1079]) ).

fof(f2574,plain,
    ( ~ spl0_184
    | spl0_138
    | ~ spl0_48
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1788,f1084,f602,f1079,f1555]) ).

fof(f2579,plain,
    ( spl0_112
    | ~ spl0_165
    | ~ spl0_47
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2303,f935,f598,f1304,f940]) ).

fof(f2587,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_35
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2251,f935,f537,f945,f940]) ).

fof(f2590,plain,
    ( ~ spl0_137
    | spl0_167
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1568,f1068,f571,f1314,f1073]) ).

fof(f2593,plain,
    ( ~ spl0_89
    | spl0_87
    | ~ spl0_42
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1658,f812,f571,f807,f817]) ).

fof(f2594,plain,
    ( ~ spl0_92
    | spl0_91
    | ~ spl0_42
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1722,f1472,f571,f828,f833]) ).

fof(f2596,plain,
    ( spl0_167
    | ~ spl0_137
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1582,f1063,f580,f1073,f1314]) ).

fof(f2598,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_44
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1714,f823,f580,f833,f828]) ).

fof(f2603,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_52
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2340,f1052,f621,f1047,f1057]) ).

fof(f2606,plain,
    ( spl0_79
    | spl0_171
    | ~ spl0_61
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2393,f759,f665,f1365,f764]) ).

fof(f2608,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_61
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2378,f1143,f665,f1153,f1148]) ).

fof(f2614,plain,
    ( ~ spl0_83
    | spl0_164
    | ~ spl0_41
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2262,f780,f564,f1299,f785]) ).

fof(f2621,plain,
    ( spl0_121
    | ~ spl0_122
    | ~ spl0_60
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2362,f983,f660,f993,f988]) ).

fof(f2625,plain,
    ( ~ spl0_167
    | ~ spl0_137
    | ~ spl0_23
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1502,f1068,f487,f1073,f1314]) ).

fof(f2628,plain,
    ( ~ spl0_170
    | ~ spl0_158
    | ~ spl0_25
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1727,f1175,f495,f1185,f1329]) ).

fof(f2629,plain,
    ( ~ spl0_155
    | ~ spl0_178
    | ~ spl0_25
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1728,f1159,f495,f1497,f1169]) ).

fof(f2632,plain,
    ( ~ spl0_128
    | ~ spl0_127
    | ~ spl0_25
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f2117,f1015,f495,f1020,f1025]) ).

fof(f2634,plain,
    ( ~ spl0_113
    | ~ spl0_165
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2033,f935,f515,f1304,f945]) ).

fof(f2643,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_38
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1992,f1132,f551,f1127,f1137]) ).

fof(f2647,plain,
    ( ~ spl0_175
    | spl0_129
    | ~ spl0_38
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1825,f1041,f551,f1031,f1482]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s2,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s3,plain,
    ( spl0_2
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s7,plain,
    ( spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s8,plain,
    ( spl0_14
    | spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s9,plain,
    ( ~ spl0_7
    | ~ spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s11,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s12,plain,
    ( ~ spl0_15
    | ~ spl0_20
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s15,plain,
    ( spl0_16
    | ~ spl0_20
    | spl0_21
    | spl0_31 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s16,plain,
    ( spl0_12
    | ~ spl0_20
    | spl0_22
    | spl0_31 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s17,plain,
    ( spl0_9
    | ~ spl0_20
    | ~ spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s18,plain,
    ( ~ spl0_18
    | ~ spl0_20
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s19,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s21,plain,
    ( ~ spl0_20
    | ~ spl0_28
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s22,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_30
    | spl0_35 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s23,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s24,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_35
    | spl0_38 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s26,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_24
    | spl0_41 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s27,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_34
    | spl0_41 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_20
    | ~ spl0_26
    | spl0_42 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s31,plain,
    ( spl0_13
    | ~ spl0_20
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s34,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s35,plain,
    ( ~ spl0_20
    | spl0_25
    | ~ spl0_29
    | spl0_45 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s36,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_30
    | spl0_45 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s37,plain,
    ( spl0_9
    | ~ spl0_20
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s38,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_20
    | spl0_46 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s39,plain,
    ( spl0_14
    | ~ spl0_20
    | ~ spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s40,plain,
    ( spl0_6
    | ~ spl0_20
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s41,plain,
    ( ~ spl0_20
    | spl0_38
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s43,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_43
    | spl0_49 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s44,plain,
    ( spl0_16
    | ~ spl0_20
    | ~ spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s46,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_36
    | spl0_50 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s48,plain,
    ( ~ spl0_20
    | spl0_47
    | spl0_52
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s49,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | spl0_42
    | spl0_52 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s51,plain,
    ( ~ spl0_20
    | spl0_44
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s52,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_46
    | spl0_54 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s54,plain,
    ( ~ spl0_20
    | spl0_41
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s55,plain,
    ( ~ spl0_5
    | ~ spl0_20
    | spl0_34
    | spl0_57 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s59,plain,
    ( ~ spl0_20
    | spl0_45
    | spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s60,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_24
    | spl0_60 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s61,plain,
    ( ~ spl0_20
    | ~ spl0_28
    | spl0_47
    | spl0_60 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s62,plain,
    ( ~ spl0_15
    | ~ spl0_20
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s63,plain,
    ( ~ spl0_20
    | spl0_33
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s64,plain,
    ( ~ spl0_20
    | spl0_37
    | spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s65,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_20
    | spl0_62 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s67,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_44
    | spl0_62 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s70,plain,
    ( ~ spl0_20
    | spl0_27
    | spl0_50
    | spl0_63 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s72,plain,
    ( ~ spl0_20
    | spl0_42
    | spl0_54
    | spl0_63 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s73,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_42
    | spl0_64 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s74,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_57
    | spl0_64 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s78,plain,
    ( spl0_19
    | spl0_67 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s79,plain,
    ( spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s81,plain,
    ( spl0_18
    | spl0_69 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s82,plain,
    ( spl0_18
    | spl0_70 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s83,plain,
    ( spl0_18
    | spl0_71 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s85,plain,
    ( spl0_29
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s86,plain,
    ( spl0_29
    | spl0_73 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s87,plain,
    ( spl0_29
    | spl0_74 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s89,plain,
    ( ~ spl0_24
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s90,plain,
    ( ~ spl0_24
    | spl0_76 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s91,plain,
    ( ~ spl0_24
    | spl0_77 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s93,plain,
    ( ~ spl0_2
    | spl0_78 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s94,plain,
    ( ~ spl0_2
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s95,plain,
    ( ~ spl0_2
    | spl0_80 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s96,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s97,plain,
    ( ~ spl0_17
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s98,plain,
    ( ~ spl0_17
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s99,plain,
    ( ~ spl0_17
    | spl0_83 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s101,plain,
    ( spl0_26
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s102,plain,
    ( spl0_26
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s103,plain,
    ( spl0_26
    | spl0_86 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s105,plain,
    ( ~ spl0_9
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s106,plain,
    ( ~ spl0_9
    | spl0_88 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s107,plain,
    ( ~ spl0_9
    | spl0_89 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s109,plain,
    ( spl0_7
    | spl0_90 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s110,plain,
    ( spl0_7
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s111,plain,
    ( spl0_7
    | spl0_92 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s112,plain,
    ( spl0_7
    | spl0_20 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s113,plain,
    ( spl0_39
    | spl0_93 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s114,plain,
    ( spl0_39
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s115,plain,
    ( spl0_39
    | spl0_95 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s117,plain,
    ( ~ spl0_14
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s118,plain,
    ( ~ spl0_14
    | spl0_97 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s119,plain,
    ( ~ spl0_14
    | spl0_98 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s121,plain,
    ( ~ spl0_13
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s122,plain,
    ( ~ spl0_13
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s123,plain,
    ( ~ spl0_13
    | spl0_101 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s129,plain,
    ( ~ spl0_16
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s130,plain,
    ( ~ spl0_16
    | spl0_106 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s131,plain,
    ( ~ spl0_16
    | spl0_107 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s133,plain,
    ( spl0_53
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s134,plain,
    ( spl0_53
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s135,plain,
    ( spl0_53
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s137,plain,
    ( spl0_10
    | spl0_111 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s138,plain,
    ( spl0_10
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s139,plain,
    ( spl0_10
    | spl0_113 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s145,plain,
    ( ~ spl0_43
    | spl0_117 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s146,plain,
    ( ~ spl0_43
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s147,plain,
    ( ~ spl0_43
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s149,plain,
    ( spl0_5
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s150,plain,
    ( spl0_5
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s151,plain,
    ( spl0_5
    | spl0_122 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s153,plain,
    ( ~ spl0_4
    | spl0_123 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s154,plain,
    ( ~ spl0_4
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s155,plain,
    ( ~ spl0_4
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s157,plain,
    ( spl0_59
    | spl0_126 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s158,plain,
    ( spl0_59
    | spl0_127 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s159,plain,
    ( spl0_59
    | spl0_128 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s161,plain,
    ( spl0_28
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s162,plain,
    ( spl0_28
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s163,plain,
    ( spl0_28
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s165,plain,
    ( ~ spl0_33
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s166,plain,
    ( ~ spl0_33
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s167,plain,
    ( ~ spl0_33
    | spl0_134 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s169,plain,
    ( ~ spl0_37
    | spl0_135 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s170,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s171,plain,
    ( ~ spl0_37
    | spl0_137 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s173,plain,
    ( ~ spl0_6
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s175,plain,
    ( ~ spl0_6
    | spl0_140 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s177,plain,
    ( ~ spl0_12
    | spl0_141 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s178,plain,
    ( ~ spl0_12
    | spl0_142 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s179,plain,
    ( ~ spl0_12
    | spl0_143 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s185,plain,
    ( ~ spl0_34
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s186,plain,
    ( ~ spl0_34
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s187,plain,
    ( ~ spl0_34
    | spl0_149 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s189,plain,
    ( ~ spl0_1
    | spl0_150 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s190,plain,
    ( ~ spl0_1
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s191,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s192,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s193,plain,
    ( ~ spl0_3
    | spl0_153 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s194,plain,
    ( ~ spl0_3
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s195,plain,
    ( ~ spl0_3
    | spl0_155 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s197,plain,
    ( spl0_15
    | spl0_156 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s198,plain,
    ( spl0_15
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s199,plain,
    ( spl0_15
    | spl0_158 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s207,plain,
    ( ~ spl0_31
    | spl0_81
    | spl0_82
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s214,plain,
    ( ~ spl0_32
    | spl0_79
    | ~ spl0_80
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s218,plain,
    ( ~ spl0_22
    | ~ spl0_27
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1375]) ).

cnf(s242,plain,
    ( ~ spl0_42
    | ~ spl0_76
    | ~ spl0_77
    | spl0_163 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s245,plain,
    ( ~ spl0_44
    | ~ spl0_111
    | ~ spl0_113
    | spl0_165 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s257,plain,
    ( ~ spl0_23
    | ~ spl0_32
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s294,plain,
    ( ~ spl0_48
    | spl0_81
    | spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s309,plain,
    ( ~ spl0_35
    | ~ spl0_78
    | spl0_79
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s324,plain,
    ( ~ spl0_56
    | ~ spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s326,plain,
    ( ~ spl0_56
    | ~ spl0_156
    | ~ spl0_158
    | spl0_170 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s332,plain,
    ( ~ spl0_23
    | ~ spl0_32
    | ~ spl0_83
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s333,plain,
    ( ~ spl0_55
    | ~ spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s339,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s341,plain,
    ( ~ spl0_57
    | ~ spl0_78
    | ~ spl0_80
    | spl0_171 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s342,plain,
    ( ~ spl0_57
    | ~ spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2086]) ).

cnf(s355,plain,
    ( ~ spl0_21
    | ~ spl0_25
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s356,plain,
    ( ~ spl0_30
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2124]) ).

cnf(s360,plain,
    ( ~ spl0_35
    | ~ spl0_90
    | ~ spl0_92
    | spl0_173 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s362,plain,
    ( ~ spl0_52
    | spl0_139
    | ~ spl0_140
    | spl0_184 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s368,plain,
    ( ~ spl0_58
    | spl0_138
    | spl0_139
    | spl0_184 ),
    inference(sat_conversion,[],[f2136]) ).

cnf(s369,plain,
    ( ~ spl0_58
    | spl0_132
    | spl0_133
    | spl0_176 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s370,plain,
    ( ~ spl0_58
    | spl0_130
    | spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s371,plain,
    ( ~ spl0_58
    | spl0_108
    | spl0_110
    | spl0_181 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s372,plain,
    ( ~ spl0_23
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s380,plain,
    ( ~ spl0_31
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2148]) ).

cnf(s383,plain,
    ( ~ spl0_36
    | spl0_139
    | ~ spl0_140
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s387,plain,
    ( ~ spl0_36
    | spl0_72
    | ~ spl0_74
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s388,plain,
    ( spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s396,plain,
    ( ~ spl0_45
    | spl0_129
    | spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s397,plain,
    ( ~ spl0_45
    | spl0_108
    | spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s399,plain,
    ( ~ spl0_47
    | ~ spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s400,plain,
    ( ~ spl0_47
    | ~ spl0_153
    | ~ spl0_155
    | spl0_178 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s403,plain,
    ( ~ spl0_38
    | spl0_75
    | ~ spl0_76
    | spl0_163 ),
    inference(sat_conversion,[],[f2171]) ).

cnf(s405,plain,
    ( ~ spl0_55
    | ~ spl0_153
    | spl0_154
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s406,plain,
    ( ~ spl0_23
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2174]) ).

cnf(s413,plain,
    ( ~ spl0_23
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s416,plain,
    ( ~ spl0_35
    | ~ spl0_41
    | spl0_46 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s420,plain,
    ( ~ spl0_35
    | ~ spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s421,plain,
    ( ~ spl0_35
    | ~ spl0_141
    | ~ spl0_143
    | spl0_177 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s429,plain,
    ( ~ spl0_32
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2197]) ).

cnf(s435,plain,
    ( ~ spl0_47
    | ~ spl0_150
    | spl0_151
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s437,plain,
    ( ~ spl0_31
    | ~ spl0_47
    | spl0_120
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s457,plain,
    ( ~ spl0_64
    | ~ spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2486]) ).

cnf(s458,plain,
    ( ~ spl0_64
    | ~ spl0_123
    | spl0_125
    | spl0_182 ),
    inference(sat_conversion,[],[f2487]) ).

cnf(s463,plain,
    ( ~ spl0_64
    | ~ spl0_150
    | spl0_152
    | spl0_169 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s465,plain,
    ( ~ spl0_64
    | ~ spl0_156
    | spl0_157
    | spl0_170 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s475,plain,
    ( ~ spl0_22
    | spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2504]) ).

cnf(s478,plain,
    ( ~ spl0_22
    | spl0_23
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s481,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s482,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s488,plain,
    ( ~ spl0_50
    | spl0_72
    | ~ spl0_73
    | spl0_179 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s490,plain,
    ( ~ spl0_50
    | spl0_130
    | spl0_131
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2519]) ).

cnf(s494,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2523]) ).

cnf(s503,plain,
    ( ~ spl0_46
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2531]) ).

cnf(s504,plain,
    ( ~ spl0_46
    | spl0_81
    | ~ spl0_83
    | spl0_164 ),
    inference(sat_conversion,[],[f2532]) ).

cnf(s505,plain,
    ( ~ spl0_46
    | spl0_124
    | spl0_125
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2533]) ).

cnf(s506,plain,
    ( ~ spl0_46
    | spl0_112
    | ~ spl0_113
    | spl0_165 ),
    inference(sat_conversion,[],[f2534]) ).

cnf(s507,plain,
    ( ~ spl0_46
    | spl0_108
    | spl0_109
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2535]) ).

cnf(s509,plain,
    ( ~ spl0_49
    | ~ spl0_90
    | spl0_91
    | spl0_173 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s512,plain,
    ( ~ spl0_63
    | spl0_129
    | spl0_130
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2540]) ).

cnf(s514,plain,
    ( ~ spl0_63
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2542]) ).

cnf(s520,plain,
    ( ~ spl0_62
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f2548]) ).

cnf(s529,plain,
    ( ~ spl0_21
    | spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s535,plain,
    ( ~ spl0_21
    | spl0_133
    | ~ spl0_134
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s538,plain,
    ( ~ spl0_54
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s540,plain,
    ( ~ spl0_54
    | spl0_157
    | ~ spl0_158
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s541,plain,
    ( ~ spl0_54
    | spl0_132
    | ~ spl0_134
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s545,plain,
    ( ~ spl0_45
    | spl0_138
    | spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s546,plain,
    ( ~ spl0_48
    | spl0_138
    | spl0_139
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s551,plain,
    ( ~ spl0_47
    | ~ spl0_111
    | spl0_112
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s558,plain,
    ( ~ spl0_35
    | ~ spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2587]) ).

cnf(s561,plain,
    ( ~ spl0_42
    | ~ spl0_136
    | ~ spl0_137
    | spl0_167 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s564,plain,
    ( ~ spl0_42
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2593]) ).

cnf(s565,plain,
    ( ~ spl0_42
    | spl0_91
    | ~ spl0_92
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s567,plain,
    ( ~ spl0_44
    | ~ spl0_135
    | ~ spl0_137
    | spl0_167 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s569,plain,
    ( ~ spl0_44
    | ~ spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2598]) ).

cnf(s574,plain,
    ( ~ spl0_52
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2603]) ).

cnf(s577,plain,
    ( ~ spl0_61
    | ~ spl0_78
    | spl0_79
    | spl0_171 ),
    inference(sat_conversion,[],[f2606]) ).

cnf(s579,plain,
    ( ~ spl0_61
    | ~ spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s585,plain,
    ( ~ spl0_41
    | spl0_82
    | ~ spl0_83
    | spl0_164 ),
    inference(sat_conversion,[],[f2614]) ).

cnf(s592,plain,
    ( ~ spl0_60
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2621]) ).

cnf(s596,plain,
    ( ~ spl0_23
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2625]) ).

cnf(s599,plain,
    ( ~ spl0_25
    | ~ spl0_156
    | ~ spl0_158
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s600,plain,
    ( ~ spl0_25
    | ~ spl0_153
    | ~ spl0_155
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s603,plain,
    ( ~ spl0_25
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2632]) ).

cnf(s605,plain,
    ( ~ spl0_30
    | ~ spl0_111
    | ~ spl0_113
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2634]) ).

cnf(s614,plain,
    ( ~ spl0_38
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2643]) ).

cnf(s618,plain,
    ( ~ spl0_38
    | spl0_129
    | spl0_131
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2647]) ).

cnf(s625,plain,
    ( ~ spl0_47
    | spl0_42
    | ~ spl0_23
    | spl0_22
    | spl0_120
    | ~ spl0_122
    | ~ spl0_20 ),
    inference(rat,[],[s370,s490,s162,s163,s21,s46,s58,s388,s421,s257,s372,s177,s178,s179,s16,s437]) ).

cnf(s626,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s529,s85,s86,s87,s35,s355,s158,s159,s59,s36,s397,s133,s134,s135,s356,s48,s177,s178,s179,s362,s368,s16,s546,s380,s173,s174,s175,s40,s625,s41,s503,s101,s102,s103,s30,s403,s242,s406,s11,s475,s89,s90,s91,s60,s592,s149,s150,s151]) ).

cnf(s628,plain,
    ( spl0_45
    | spl0_25
    | spl0_30
    | ~ spl0_20 ),
    inference(rat,[],[s529,s85,s86,s87,s35,s36]) ).

cnf(s629,plain,
    ( spl0_53
    | ~ spl0_45 ),
    inference(rat,[],[s397,s133,s134,s135]) ).

cnf(s631,plain,
    ( spl0_26
    | ~ spl0_46 ),
    inference(rat,[],[s503,s101,s102,s103]) ).

cnf(s632,plain,
    ( ~ spl0_43
    | ~ spl0_64 ),
    inference(rat,[],[s457,s145,s146,s147]) ).

cnf(s635,plain,
    ( ~ spl0_42
    | spl0_38
    | ~ spl0_90
    | spl0_91
    | ~ spl0_92
    | ~ spl0_20 ),
    inference(rat,[],[s564,s105,s106,s107,s24,s360,s565]) ).

cnf(s636,plain,
    ( spl0_30
    | spl0_25
    | spl0_35
    | ~ spl0_36
    | spl0_52
    | ~ spl0_20 ),
    inference(rat,[],[s388,s429,s48,s117,s118,s119,s629,s22,s628]) ).

cnf(s637,plain,
    ( ~ spl0_14
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(rat,[],[s339,s118,s119]) ).

cnf(s638,plain,
    ( ~ spl0_16
    | ~ spl0_54 ),
    inference(rat,[],[s538,s129,s130,s131]) ).

cnf(s639,plain,
    ( spl0_29
    | ~ spl0_21 ),
    inference(rat,[],[s529,s85,s86,s87]) ).

cnf(s640,plain,
    ( ~ spl0_24
    | ~ spl0_22 ),
    inference(rat,[],[s475,s89,s90,s91]) ).

cnf(s643,plain,
    ( spl0_18
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s218,s81,s83]) ).

cnf(s644,plain,
    ( spl0_25
    | ~ spl0_18
    | ~ spl0_29
    | spl0_35
    | ~ spl0_36
    | spl0_52
    | ~ spl0_23
    | spl0_16
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s585,s332,s98,s99,s8,s388,s48,s629,s35,s54,s333,s324,s197,s198,s199,s113,s114,s115,s7,s39,s637,s636]) ).

cnf(s646,plain,
    ( spl0_25
    | ~ spl0_23
    | spl0_35
    | ~ spl0_29
    | spl0_52
    | ~ spl0_36
    | spl0_16
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s481,s82,s83,s644,s636]) ).

cnf(s647,plain,
    ( ~ spl0_25
    | ~ spl0_21
    | spl0_52
    | spl0_58
    | ~ spl0_153
    | ~ spl0_155
    | ~ spl0_20 ),
    inference(rat,[],[s355,s158,s159,s59,s629,s48,s400,s600]) ).

cnf(s648,plain,
    ( ~ spl0_140
    | spl0_139
    | spl0_138
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s11,s478,s646,s636,s647,s558,s137,s138,s139,s639,s49,s15,s362,s380,s638,s52,s58,s368,s546,s41,s631,s30,s635,s614,s185,s186,s187,s55,s626,s342,s193,s194,s195,s1,s109,s110,s111,s112,s3]) ).

cnf(s649,plain,
    ( spl0_139
    | spl0_138
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s257,s178,s179,s65,s74,s520,s465,s161,s162,s163,s540,s44,s197,s198,s199,s488,s7,s387,s637,s85,s86,s87,s628,s35,s600,s388,s400,s40,s545,s175,s648,s58,s368,s546,s41,s638,s52,s631,s30,s635,s614,s185,s186,s187,s55,s342,s193,s194,s195,s1,s109,s110,s111,s626,s112,s3]) ).

cnf(s650,plain,
    ( spl0_18
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(rat,[],[s481,s82,s83]) ).

cnf(s651,plain,
    ( ~ spl0_17
    | ~ spl0_41
    | ~ spl0_32
    | ~ spl0_23 ),
    inference(rat,[],[s585,s332,s98,s99]) ).

cnf(s652,plain,
    ( ~ spl0_30
    | spl0_17
    | ~ spl0_36 ),
    inference(rat,[],[s8,s650,s637]) ).

cnf(s653,plain,
    ( ~ spl0_14
    | ~ spl0_32 ),
    inference(rat,[],[s429,s117,s118,s119]) ).

cnf(s654,plain,
    ( ~ spl0_36
    | ~ spl0_23
    | spl0_35
    | spl0_55
    | ~ spl0_47
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s54,s651,s324,s652,s113,s114,s115,s22,s39,s653,s388]) ).

cnf(s657,plain,
    ( ~ spl0_36
    | spl0_55
    | ~ spl0_47
    | ~ spl0_54
    | spl0_46
    | spl0_57
    | ~ spl0_20 ),
    inference(rat,[],[s654,s74,s416,s465,s54,s540,s324,s197,s198,s199,s113,s114,s115,s7,s39,s653,s388,s638]) ).

cnf(s658,plain,
    ( ~ spl0_12
    | ~ spl0_30 ),
    inference(rat,[],[s356,s177,s178,s179]) ).

cnf(s659,plain,
    ( spl0_28
    | ~ spl0_62 ),
    inference(rat,[],[s520,s161,s162,s163]) ).

cnf(s660,plain,
    ( ~ spl0_28
    | ~ spl0_23
    | spl0_36
    | spl0_25
    | spl0_16
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s488,s413,s85,s86,s87,s35,s420,s44,s21]) ).

cnf(s661,plain,
    ( ~ spl0_33
    | ~ spl0_58
    | ~ spl0_54 ),
    inference(rat,[],[s541,s369,s165,s166,s167]) ).

cnf(s662,plain,
    ( ~ spl0_23
    | spl0_33
    | ~ spl0_58
    | spl0_36
    | spl0_25
    | spl0_6
    | spl0_16
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s18,s643,s257,s70,s46,s178,s179,s512,s490,s65,s370,s659,s161,s162,s163,s660]) ).

cnf(s663,plain,
    ( spl0_6
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s465,s540,s197,s198,s199,s12,s640,s74,s11,s662,s661,s58,s657,s405,s600,s400,s40,s638,s52,s631,s30,s635,s614,s185,s186,s187,s55,s342,s193,s194,s195,s1,s109,s110,s111,s626,s112,s3]) ).

cnf(s664,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s649,s173,s174,s663]) ).

cnf(s665,plain,
    ( spl0_184
    | ~ spl0_21
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s355,s158,s159,s35,s59,s629,s48,s362,s368,s96,s399,s93,s94,s95,s175,s174,s173,s639]) ).

cnf(s666,plain,
    ( ~ spl0_34
    | ~ spl0_38 ),
    inference(rat,[],[s614,s185,s186,s187]) ).

cnf(s667,plain,
    ( spl0_46
    | ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s355,s158,s159,s35,s59,s396,s618,s161,s163,s661,s21,s19,s309,s341,s55,s666,s41,s383,s546,s665,s639,s15,s638,s52,s95,s94,s93,s626,s96,s664,s380,s175,s173,s174]) ).

cnf(s668,plain,
    ( ~ spl0_9
    | ~ spl0_42 ),
    inference(rat,[],[s564,s105,s106,s107]) ).

cnf(s669,plain,
    ( ~ spl0_17
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s504,s332,s97,s99]) ).

cnf(s670,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s494,s81,s82,s83,s8,s669,s478,s16,s658,s628,s603,s157,s158,s159,s59,s371,s507,s629,s133,s134,s135,s48,s574,s165,s166,s167,s63,s577,s214,s653,s17,s668,s30,s631,s667,s380,s173,s174,s175,s96,s399,s93,s94,s95,s664]) ).

cnf(s671,plain,
    spl0_1,
    inference(rat,[],[s596,s561,s170,s171,s23,s666,s74,s55,s341,s214,s17,s458,s668,s505,s30,s153,s154,s155,s631,s2,s40,s670,s399,s626,s93,s94,s95,s96,s664]) ).

cnf(s672,plain,
    spl0_20,
    inference(rat,[],[s192,s671]) ).

cnf(s673,plain,
    ~ spl0_152,
    inference(rat,[],[s191,s671]) ).

cnf(s674,plain,
    ~ spl0_151,
    inference(rat,[],[s190,s671]) ).

cnf(s675,plain,
    spl0_150,
    inference(rat,[],[s189,s671]) ).

cnf(s676,plain,
    ~ spl0_61,
    inference(rat,[],[s579,s673,s674,s675]) ).

cnf(s677,plain,
    ( spl0_25
    | ~ spl0_23
    | spl0_52
    | ~ spl0_36
    | spl0_44
    | spl0_31
    | spl0_46 ),
    inference(rat,[],[s61,s592,s659,s149,s150,s151,s654,s67,s55,s333,s666,s197,s198,s199,s41,s12,s294,s640,s97,s98,s99,s16,s652,s658,s636,s342,s193,s194,s195,s34,s558,s137,s138,s139,s49,s561,s596,s170,s171,s64,s672,s676]) ).

cnf(s678,plain,
    ( ~ spl0_23
    | spl0_52
    | spl0_58
    | ~ spl0_36
    | spl0_44
    | spl0_31
    | spl0_46 ),
    inference(rat,[],[s629,s51,s48,s638,s400,s15,s600,s647,s677,s193,s195,s34,s558,s137,s138,s139,s49,s561,s596,s171,s170,s64,s672,s676]) ).

cnf(s679,plain,
    ( ~ spl0_3
    | ~ spl0_57 ),
    inference(rat,[],[s342,s193,s194,s195]) ).

cnf(s680,plain,
    ( spl0_64
    | spl0_23
    | spl0_7 ),
    inference(rat,[],[s360,s565,s34,s73,s679,s74,s569,s109,s110,s111,s672]) ).

cnf(s681,plain,
    ( ~ spl0_64
    | spl0_7
    | spl0_31 ),
    inference(rat,[],[s540,s465,s72,s197,s198,s199,s514,s565,s62,s121,s122,s123,s509,s435,s31,s43,s463,s632,s569,s109,s110,s111,s672,s676,s674,s675,s673]) ).

cnf(s682,plain,
    ( ~ spl0_36
    | spl0_7
    | ~ spl0_6
    | spl0_46 ),
    inference(rat,[],[s678,s362,s368,s383,s569,s109,s110,s111,s680,s681,s380,s175,s173,s174]) ).

cnf(s683,plain,
    ( spl0_7
    | ~ spl0_6
    | spl0_46 ),
    inference(rat,[],[s600,s27,s400,s416,s61,s21,s592,s659,s149,s150,s151,s67,s55,s666,s41,s546,s368,s58,s682,s679,s193,s195,s73,s561,s596,s680,s681,s569,s109,s110,s111,s171,s170,s64,s380,s175,s173,s174,s672,s676]) ).

cnf(s684,plain,
    ( ~ spl0_36
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(rat,[],[s482,s78,s79,s9,s36,s665,s383,s175,s174,s629,s48,s574,s165,s166,s167,s63,s399,s93,s94,s95,s3,s672,s676]) ).

cnf(s685,plain,
    ( spl0_167
    | spl0_36
    | spl0_45
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(rat,[],[s661,s51,s58,s567,s561,s171,s170,s169,s672]) ).

cnf(s686,plain,
    ( spl0_42
    | spl0_36
    | spl0_45
    | ~ spl0_33 ),
    inference(rat,[],[s605,s36,s245,s535,s51,s369,s661,s137,s139,s58,s49,s574,s165,s166,s167,s672]) ).

cnf(s687,plain,
    ( ~ spl0_6
    | spl0_46 ),
    inference(rat,[],[s628,s658,s599,s16,s326,s640,s54,s26,s416,s37,s668,s686,s596,s685,s684,s629,s48,s574,s165,s166,s167,s63,s399,s333,s93,s94,s95,s197,s198,s199,s3,s38,s683,s380,s173,s174,s175,s171,s170,s64,s672,s676]) ).

cnf(s688,plain,
    ( ~ spl0_23
    | ~ spl0_36
    | spl0_46 ),
    inference(rat,[],[s416,s54,s654,s405,s400,s193,s194,s195,s73,s561,s596,s171,s170,s64,s463,s435,s324,s113,s114,s115,s39,s653,s388,s40,s687,s672,s675,s673,s674,s676]) ).

cnf(s689,plain,
    ( ~ spl0_2
    | ~ spl0_47 ),
    inference(rat,[],[s399,s93,s94,s95]) ).

cnf(s693,plain,
    ( spl0_45
    | spl0_46 ),
    inference(rat,[],[s662,s638,s685,s51,s569,s109,s110,s111,s58,s688,s600,s400,s195,s193,s73,s561,s596,s680,s3,s689,s170,s171,s64,s463,s435,s40,s687,s672,s675,s673,s674,s676]) ).

cnf(s694,plain,
    spl0_46,
    inference(rat,[],[s18,s661,s643,s257,s72,s70,s46,s178,s179,s512,s490,s65,s370,s659,s161,s162,s163,s21,s420,s693,s58,s561,s688,s596,s680,s3,s689,s463,s435,s40,s687,s170,s171,s64,s672,s673,s675,s674,s676]) ).

cnf(s695,plain,
    spl0_26,
    inference(rat,[],[s631,s694]) ).

cnf(s698,plain,
    ( ~ spl0_32
    | spl0_35
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(rat,[],[s652,s22,s669,s653,s672,s694]) ).

cnf(s699,plain,
    ( spl0_35
    | spl0_58
    | spl0_42
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(rat,[],[s355,s36,s636,s158,s159,s605,s59,s506,s629,s137,s138,s139,s48,s49,s574,s165,s166,s167,s63,s388,s698,s672,s694,s676]) ).

cnf(s700,plain,
    ( spl0_18
    | ~ spl0_23 ),
    inference(rat,[],[s494,s81,s82,s83]) ).

cnf(s701,plain,
    ( spl0_35
    | spl0_42
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(rat,[],[s371,s507,s133,s134,s135,s48,s574,s165,s166,s167,s18,s388,s699,s698,s700,s694,s672]) ).

cnf(s702,plain,
    ( ~ spl0_32
    | ~ spl0_23 ),
    inference(rat,[],[s8,s669,s653,s700,s694]) ).

cnf(s703,plain,
    ( spl0_42
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(rat,[],[s558,s137,s138,s139,s49,s701,s574,s165,s166,s167,s18,s702,s700,s672]) ).

cnf(s704,plain,
    ( ~ spl0_23
    | ~ spl0_36 ),
    inference(rat,[],[s668,s703,s17,s702,s695,s672]) ).

cnf(s705,plain,
    ( ~ spl0_47
    | spl0_23 ),
    inference(rat,[],[s680,s3,s463,s689,s435,s673,s675,s674]) ).

cnf(s707,plain,
    ~ spl0_36,
    inference(rat,[],[s207,s504,s97,s98,s99,s16,s478,s652,s658,s628,s603,s157,s158,s159,s59,s371,s507,s629,s133,s134,s135,s48,s574,s165,s166,s167,s63,s705,s704,s694,s672,s676]) ).

cnf(s708,plain,
    ~ spl0_23,
    inference(rat,[],[s551,s506,s137,s138,s139,s48,s49,s629,s574,s686,s165,s166,s167,s668,s18,s17,s702,s700,s694,s672,s707,s695]) ).

cnf(s709,plain,
    ~ spl0_47,
    inference(rat,[],[s705,s708]) ).

cnf(s711,plain,
    spl0_33,
    inference(rat,[],[s63,s676,s672,s709]) ).

cnf(s715,plain,
    spl0_134,
    inference(rat,[],[s167,s711]) ).

cnf(s716,plain,
    ~ spl0_133,
    inference(rat,[],[s166,s711]) ).

cnf(s717,plain,
    ~ spl0_132,
    inference(rat,[],[s165,s711]) ).

cnf(s719,plain,
    ~ spl0_52,
    inference(rat,[],[s574,s715,s716,s717]) ).

cnf(s720,plain,
    ~ spl0_53,
    inference(rat,[],[s48,s709,s672,s719]) ).

cnf(s721,plain,
    ~ spl0_110,
    inference(rat,[],[s135,s720]) ).

cnf(s722,plain,
    ~ spl0_109,
    inference(rat,[],[s134,s720]) ).

cnf(s723,plain,
    ~ spl0_108,
    inference(rat,[],[s133,s720]) ).

cnf(s724,plain,
    ~ spl0_45,
    inference(rat,[],[s629,s720]) ).

cnf(s725,plain,
    ~ spl0_181,
    inference(rat,[],[s507,s694,s723,s722]) ).

cnf(s726,plain,
    spl0_42,
    inference(rat,[],[s686,s711,s707,s724]) ).

cnf(s727,plain,
    ~ spl0_58,
    inference(rat,[],[s371,s723,s721,s725]) ).

cnf(s728,plain,
    ~ spl0_9,
    inference(rat,[],[s668,s726]) ).

cnf(s729,plain,
    ~ spl0_59,
    inference(rat,[],[s59,s724,s672,s727]) ).

cnf(s731,plain,
    spl0_32,
    inference(rat,[],[s17,s672,s695,s728]) ).

cnf(s732,plain,
    spl0_35,
    inference(rat,[],[s37,s724,s672,s728]) ).

cnf(s733,plain,
    spl0_128,
    inference(rat,[],[s159,s729]) ).

cnf(s734,plain,
    spl0_127,
    inference(rat,[],[s158,s729]) ).

cnf(s735,plain,
    spl0_126,
    inference(rat,[],[s157,s729]) ).

cnf(s740,plain,
    ~ spl0_25,
    inference(rat,[],[s603,s733,s734,s735]) ).

cnf(s742,plain,
    spl0_30,
    inference(rat,[],[s628,s672,s724,s740]) ).

cnf(s747,plain,
    ~ spl0_12,
    inference(rat,[],[s658,s742]) ).

cnf(s748,plain,
    ~ spl0_22,
    inference(rat,[],[s478,s708,s742]) ).

cnf(s749,plain,
    spl0_31,
    inference(rat,[],[s16,s748,s672,s747]) ).

cnf(s757,plain,
    ~ spl0_6,
    inference(rat,[],[s380,s173,s174,s175,s749]) ).

cnf(s758,plain,
    spl0_62,
    inference(rat,[],[s65,s747,s672,s757]) ).

cnf(s759,plain,
    spl0_28,
    inference(rat,[],[s659,s758]) ).

cnf(s760,plain,
    spl0_60,
    inference(rat,[],[s61,s709,s672,s759]) ).

cnf(s761,plain,
    spl0_7,
    inference(rat,[],[s360,s565,s109,s110,s111,s732,s726]) ).

cnf(s762,plain,
    spl0_2,
    inference(rat,[],[s3,s761]) ).

cnf(s764,plain,
    spl0_80,
    inference(rat,[],[s95,s762]) ).

cnf(s765,plain,
    ~ spl0_79,
    inference(rat,[],[s94,s762]) ).

cnf(s766,plain,
    spl0_78,
    inference(rat,[],[s93,s762]) ).

cnf(s770,plain,
    ~ spl0_171,
    inference(rat,[],[s214,s731,s764,s765]) ).

cnf(s772,plain,
    ~ spl0_57,
    inference(rat,[],[s341,s766,s764,s770]) ).

cnf(s773,plain,
    spl0_64,
    inference(rat,[],[s74,s708,s672,s772]) ).

cnf(s780,plain,
    ~ spl0_4,
    inference(rat,[],[s458,s505,s153,s154,s155,s773,s694]) ).

cnf(s782,plain,
    ~ spl0_5,
    inference(rat,[],[s2,s757,s780]) ).

cnf(s783,plain,
    spl0_122,
    inference(rat,[],[s151,s782]) ).

cnf(s784,plain,
    ~ spl0_121,
    inference(rat,[],[s150,s782]) ).

cnf(s785,plain,
    ~ spl0_120,
    inference(rat,[],[s149,s782]) ).

cnf(s786,plain,
    $false,
    inference(rat,[],[s592,s785,s760,s783,s784]) ).

fof(f2654,plain,
    $false,
    inference(avatar_sat_refutation,[],[s786]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN489+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n017.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:11:37 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.30  % (3677228)Will run a generic schedule for satisfiability detection.
% 0.19/0.30  % (3677233)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1582582730_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30  % (3677234)% WARNING: option uhcvi not known.
% 0.19/0.30  % Detected minimum model sizes of [1]
% 0.19/0.30  % Detected maximum model sizes of [32]
% 0.19/0.30  % TRYING [1]
% 0.19/0.30  % TRYING [2]
% 0.19/0.30  % TRYING [3]
% 0.19/0.30  % (3677234)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1457459762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30  % (3677236)dis+10_1_sil=32000:sp=arity:random_seed=508514591:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30  % (3677235)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3336735410:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30  % (3677237)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1947002449:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30  % (3677239)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2493422192:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30  % TRYING [4]
% 0.19/0.30  % (3677238)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2458718352:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30  % TRYING [5]
% 0.19/0.30  % (3677239) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3677228-3677239"...
% 0.19/0.30  % TRYING [6]
% 0.19/0.30  % (3677236) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3677228-3677236"...
% 0.19/0.30  % (3677239)...printing done.
% 0.19/0.30  % (3677239)Refutation found. Thanks to Tanya!
% 0.19/0.30  % SZS status Theorem for theBenchmark
% 0.19/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (3677239)------------------------------
% 0.19/0.31  % (3677239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (3677239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (3677239)CaDiCaL version: 2.1.3
% 0.19/0.31  % (3677239)Termination reason: Refutation
% 0.19/0.31  % (3677239)Time elapsed: 0.042 s
% 0.19/0.31  % (3677239)Peak memory usage: 14 MB
% 0.19/0.31  % (3677239)Instructions burned: 69 (million)
% 0.19/0.31  % (3677228)Success in time 0.079 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------