↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:34 PM UTC 2026

% Result   : Theorem 2.13s 0.73s
% Output   : Refutation 2.69s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a494)
          & ~ c0_1(a494)
          & ~ c2_1(a494) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a495)
          & ~ c0_1(a495)
          & ~ c3_1(a495) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a496)
          & ~ c2_1(a496)
          & ~ c3_1(a496) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a497)
          & ~ c0_1(a497)
          & ~ c1_1(a497) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a498)
          & ~ c0_1(a498)
          & ~ c2_1(a498) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a499)
          & c2_1(a499)
          & ~ c1_1(a499) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a501)
          & c2_1(a501)
          & ~ c3_1(a501) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c0_1(a502)
          & ~ c1_1(a502)
          & ~ c3_1(a502) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a505)
          & c3_1(a505)
          & ~ c0_1(a505) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a507)
          & ~ c0_1(a507)
          & ~ c1_1(a507) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a509)
          & c3_1(a509)
          & ~ c2_1(a509) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a510)
          & ~ c1_1(a510)
          & ~ c2_1(a510) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a514)
          & c3_1(a514)
          & ~ c2_1(a514) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a520)
          & c2_1(a520)
          & ~ c3_1(a520) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a527)
          & ~ c1_1(a527)
          & ~ c3_1(a527) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a528)
          & c1_1(a528)
          & ~ c3_1(a528) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a530)
          & c3_1(a530)
          & ~ c1_1(a530) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a532)
          & ~ c1_1(a532)
          & ~ c2_1(a532) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a533)
          & c2_1(a533)
          & ~ c0_1(a533) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a534)
          & ~ c2_1(a534)
          & ~ c3_1(a534) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a536)
          & ~ c1_1(a536)
          & ~ c2_1(a536) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a538)
          & ~ c1_1(a538)
          & ~ c3_1(a538) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a540)
          & c3_1(a540)
          & ~ c0_1(a540) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a541)
          & c1_1(a541)
          & ~ c2_1(a541) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a554)
          & ~ c2_1(a554)
          & ~ c3_1(a554) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a558)
          & ~ c0_1(a558)
          & ~ c3_1(a558) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a559)
          & ~ c2_1(a559)
          & ~ c3_1(a559) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a568)
          & c3_1(a568)
          & ~ c1_1(a568) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a500)
          & c2_1(a500)
          & c3_1(a500) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a504)
          & c1_1(a504)
          & c3_1(a504) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a512)
          & c2_1(a512)
          & c3_1(a512) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a522)
          & c1_1(a522)
          & c2_1(a522) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c1_1(X4)
              | ~ c2_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c0_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | ~ c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) )
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c0_1(X12)
              | ~ c2_1(X12) ) )
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp5 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | hskp28
        | hskp6 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c1_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c0_1(X20)
              | ~ c2_1(X20) ) )
        | hskp7 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c0_1(X22)
              | ~ c3_1(X22) ) )
        | hskp28 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | hskp29
        | hskp8 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | hskp6
        | hskp9 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c0_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c0_1(X32)
              | ~ c1_1(X32) ) )
        | hskp6 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | hskp10
        | hskp11 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c2_1(X38)
              | ~ c0_1(X38) ) )
        | hskp9 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | hskp30
        | hskp4 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp12
        | hskp8 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | ~ c1_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | hskp8 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | hskp1
        | hskp7 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp28 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | hskp13
        | hskp30 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | hskp31
        | hskp30 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp31
        | hskp1 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c0_1(X53) ) )
        | hskp10 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c0_1(X58) ) )
        | hskp14 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c0_1(X60)
              | ~ c1_1(X60) ) )
        | hskp15 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp28
        | hskp16 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp4
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | c3_1(X63) ) )
        | hskp18
        | hskp19 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp9 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c0_1(X67)
              | ~ c2_1(X67) ) )
        | hskp20 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | hskp9 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) )
        | hskp21 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp3 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp22 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp23 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp31
        | hskp4 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp5
        | hskp7 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | hskp12
        | hskp20 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp29 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp20 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp2 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp31 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | hskp5
        | hskp4 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | hskp24 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | hskp15
        | hskp10 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c1_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | hskp17 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp25
        | hskp26 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | hskp2 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp16
        | hskp25 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c1_1(X99)
              | ~ c2_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | hskp0 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp12
        | hskp8 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp13
        | hskp3 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp27
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp22
        | hskp17 )
      & ( hskp15
        | hskp13
        | hskp12 )
      & ( hskp28
        | hskp13
        | hskp10 )
      & ( hskp28
        | hskp21
        | hskp20 )
      & ( hskp13
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp10
        | hskp26 )
      & ( hskp11
        | hskp17
        | hskp26 )
      & ( hskp4
        | hskp8
        | hskp2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a494)
            & ~ c0_1(a494)
            & ~ c2_1(a494) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a495)
            & ~ c0_1(a495)
            & ~ c3_1(a495) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a496)
            & ~ c2_1(a496)
            & ~ c3_1(a496) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a497)
            & ~ c0_1(a497)
            & ~ c1_1(a497) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a498)
            & ~ c0_1(a498)
            & ~ c2_1(a498) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a499)
            & c2_1(a499)
            & ~ c1_1(a499) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a501)
            & c2_1(a501)
            & ~ c3_1(a501) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c0_1(a502)
            & ~ c1_1(a502)
            & ~ c3_1(a502) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a505)
            & c3_1(a505)
            & ~ c0_1(a505) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a507)
            & ~ c0_1(a507)
            & ~ c1_1(a507) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a509)
            & c3_1(a509)
            & ~ c2_1(a509) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a510)
            & ~ c1_1(a510)
            & ~ c2_1(a510) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a514)
            & c3_1(a514)
            & ~ c2_1(a514) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a520)
            & c2_1(a520)
            & ~ c3_1(a520) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a527)
            & ~ c1_1(a527)
            & ~ c3_1(a527) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a528)
            & c1_1(a528)
            & ~ c3_1(a528) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a530)
            & c3_1(a530)
            & ~ c1_1(a530) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a532)
            & ~ c1_1(a532)
            & ~ c2_1(a532) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a533)
            & c2_1(a533)
            & ~ c0_1(a533) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a534)
            & ~ c2_1(a534)
            & ~ c3_1(a534) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a536)
            & ~ c1_1(a536)
            & ~ c2_1(a536) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a538)
            & ~ c1_1(a538)
            & ~ c3_1(a538) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a540)
            & c3_1(a540)
            & ~ c0_1(a540) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a541)
            & c1_1(a541)
            & ~ c2_1(a541) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a554)
            & ~ c2_1(a554)
            & ~ c3_1(a554) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a558)
            & ~ c0_1(a558)
            & ~ c3_1(a558) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a559)
            & ~ c2_1(a559)
            & ~ c3_1(a559) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a568)
            & c3_1(a568)
            & ~ c1_1(a568) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a500)
            & c2_1(a500)
            & c3_1(a500) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a504)
            & c1_1(a504)
            & c3_1(a504) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a512)
            & c2_1(a512)
            & c3_1(a512) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a522)
            & c1_1(a522)
            & c2_1(a522) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c1_1(X4)
                | ~ c2_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c0_1(X12)
                | ~ c2_1(X12) ) )
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp5 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp28
          | hskp6 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c0_1(X20)
                | ~ c2_1(X20) ) )
          | hskp7 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c0_1(X22)
                | ~ c3_1(X22) ) )
          | hskp28 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp29
          | hskp8 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp6
          | hskp9 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c1_1(X32) ) )
          | hskp6 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp10
          | hskp11 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c2_1(X38)
                | ~ c0_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | hskp30
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp12
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c1_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | hskp8 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | hskp1
          | hskp7 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp28 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp13
          | hskp30 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | hskp31
          | hskp30 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp31
          | hskp1 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c0_1(X53) ) )
          | hskp10 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c0_1(X58) ) )
          | hskp14 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c0_1(X60)
                | ~ c1_1(X60) ) )
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp28
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp4
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | c3_1(X63) ) )
          | hskp18
          | hskp19 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp9 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c2_1(X67) ) )
          | hskp20 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp9 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp21 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp3 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp22 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp23 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp31
          | hskp4 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp5
          | hskp7 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp12
          | hskp20 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp29 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp20 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp2 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp31 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | hskp5
          | hskp4 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp24 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | hskp15
          | hskp10 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | hskp17 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp25
          | hskp26 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | hskp2 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp16
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp0 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp12
          | hskp8 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp13
          | hskp3 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp27
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp22
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp12 )
        & ( hskp28
          | hskp13
          | hskp10 )
        & ( hskp28
          | hskp21
          | hskp20 )
        & ( hskp13
          | hskp6
          | hskp14 )
        & ( hskp27
          | hskp10
          | hskp26 )
        & ( hskp11
          | hskp17
          | hskp26 )
        & ( hskp4
          | hskp8
          | hskp2 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | ~ c1_1(X4)
            | ~ c2_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c1_1(X8)
            | ~ c2_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c0_1(X12)
            | ~ c2_1(X12) ) )
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp5 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c2_1(X18)
            | ~ c1_1(X18)
            | ~ c3_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | ~ c0_1(X20)
            | ~ c2_1(X20) ) )
      | hskp7 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | ~ c0_1(X22)
            | ~ c3_1(X22) ) )
      | hskp28 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | ~ c0_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c0_1(X32)
            | ~ c1_1(X32) ) )
      | hskp6 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c2_1(X38)
            | ~ c0_1(X38) ) )
      | hskp9 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c0_1(X43)
            | ~ c1_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) )
      | hskp8 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) )
      | hskp28 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp31
      | hskp1 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | ~ c0_1(X53) ) )
      | hskp10 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c0_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | ~ c0_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c0_1(X58) ) )
      | hskp14 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c0_1(X60)
            | ~ c1_1(X60) ) )
      | hskp15 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | c3_1(X63) ) )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp9 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c2_1(X67) ) )
      | hskp20 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp9 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) )
      | hskp21 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) )
      | hskp3 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp22 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp23 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c2_1(X80) ) )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp29 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp20 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp2 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp31 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp24 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c1_1(X93)
            | ~ c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c0_1(X94)
            | ~ c2_1(X94) ) )
      | hskp17 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c1_1(X95)
            | ~ c3_1(X95) ) )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | hskp2 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c1_1(X99)
            | ~ c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | ~ c2_1(X100)
            | ~ c3_1(X100) ) )
      | hskp0 )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp31
      | hskp1 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a494)
        & ~ c0_1(a494)
        & ~ c2_1(a494) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a495)
        & ~ c0_1(a495)
        & ~ c3_1(a495) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a496)
        & ~ c2_1(a496)
        & ~ c3_1(a496) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a497)
        & ~ c0_1(a497)
        & ~ c1_1(a497) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a498)
        & ~ c0_1(a498)
        & ~ c2_1(a498) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a499)
        & c2_1(a499)
        & ~ c1_1(a499) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a501)
        & c2_1(a501)
        & ~ c3_1(a501) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a502)
        & ~ c1_1(a502)
        & ~ c3_1(a502) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a505)
        & c3_1(a505)
        & ~ c0_1(a505) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a507)
        & ~ c0_1(a507)
        & ~ c1_1(a507) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a509)
        & c3_1(a509)
        & ~ c2_1(a509) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a510)
        & ~ c1_1(a510)
        & ~ c2_1(a510) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a514)
        & c3_1(a514)
        & ~ c2_1(a514) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a520)
        & c2_1(a520)
        & ~ c3_1(a520) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a527)
        & ~ c1_1(a527)
        & ~ c3_1(a527) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a528)
        & c1_1(a528)
        & ~ c3_1(a528) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a530)
        & c3_1(a530)
        & ~ c1_1(a530) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a532)
        & ~ c1_1(a532)
        & ~ c2_1(a532) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a533)
        & c2_1(a533)
        & ~ c0_1(a533) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a534)
        & ~ c2_1(a534)
        & ~ c3_1(a534) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a536)
        & ~ c1_1(a536)
        & ~ c2_1(a536) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a538)
        & ~ c1_1(a538)
        & ~ c3_1(a538) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a540)
        & c3_1(a540)
        & ~ c0_1(a540) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & ~ c2_1(a541) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a554)
        & ~ c2_1(a554)
        & ~ c3_1(a554) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a558)
        & ~ c0_1(a558)
        & ~ c3_1(a558) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a559)
        & ~ c2_1(a559)
        & ~ c3_1(a559) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a568)
        & c3_1(a568)
        & ~ c1_1(a568) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a500)
        & c2_1(a500)
        & c3_1(a500) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a504)
        & c1_1(a504)
        & c3_1(a504) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a512)
        & c2_1(a512)
        & c3_1(a512) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a522)
        & c1_1(a522)
        & c2_1(a522) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c3_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp28
      | hskp6 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c2_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp6
      | hskp9 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp30
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp7 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp30 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp31
      | hskp30 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp31
      | hskp1 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X96] :
          ( c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X98] :
          ( c3_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp25 )
    & ( ! [X99] :
          ( c3_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp12 )
    & ( hskp28
      | hskp13
      | hskp10 )
    & ( hskp28
      | hskp21
      | hskp20 )
    & ( hskp13
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp10
      | hskp26 )
    & ( hskp11
      | hskp17
      | hskp26 )
    & ( hskp4
      | hskp8
      | hskp2 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp4
    | hskp8
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp11
    | hskp17
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp27
    | hskp10
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp28
    | hskp13
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp15
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X96,X97] :
      ( c3_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X95] :
      ( c2_1(X95)
      | ~ c1_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp25
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X92] :
      ( c2_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp15
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X90,X91] :
      ( c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp5
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X78] :
      ( c1_1(X78)
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | hskp31
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c0_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X40] :
      ( c0_1(X40)
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | c3_1(X33)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | ~ c0_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X18,X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | c2_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0
      | c2_1(X18)
      | ~ c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | ~ c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c3_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c2_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | c3_1(X4)
      | ~ c1_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp31
    | c2_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp31
    | c1_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp31
    | c0_1(a522) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c3_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c2_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c0_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | ~ c1_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c0_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | ~ c2_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | ~ c0_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c3_1(a558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp25
    | ~ c0_1(a558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c0_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c2_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | c1_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | c0_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | c3_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c1_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c3_1(a538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c0_1(a538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | c3_1(a532) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | c1_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c0_1(a528) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp14
    | ~ c3_1(a527) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp14
    | ~ c1_1(a527) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | c2_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c0_1(a520) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | c3_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c1_1(a514) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c0_1(a510) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | c3_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c0_1(a509) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp9
    | c3_1(a507) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | c3_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c2_1(a505) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp6
    | c2_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c1_1(a501) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c2_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a499) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c1_1(a498) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | c2_1(a497) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c3_1(a495) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | ~ c0_1(a495) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c1_1(a495) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ! [X96,X97] :
      ( c3_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f205,plain,
    ! [X90,X91] :
      ( c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f206,plain,
    ! [X88,X87] :
      ( c2_1(X87)
      | ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f207,plain,
    ! [X86,X85] :
      ( c2_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f210,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f211,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f212,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X73)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f213,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c1_1(X71)
      | ~ c2_1(X71)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f214,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f215,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c0_1(X67)
      | ~ c2_1(X67)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f216,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f217,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f218,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c0_1(X58)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f219,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f220,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c0_1(X53)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f222,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f223,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f224,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c2_1(X38)
      | ~ c0_1(X38)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f225,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c1_1(X35)
      | ~ c2_1(X35)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f226,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f227,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f228,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f229,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f230,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | ~ c0_1(X20)
      | ~ c2_1(X20)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f231,plain,
    ! [X18,X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | c2_1(X17)
      | ~ c1_1(X17)
      | c2_1(X18)
      | ~ c1_1(X18)
      | ~ c3_1(X18) ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f232,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f233,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f235,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | ~ c1_1(X8)
      | ~ c2_1(X8)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f236,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c3_1(X6)
      | ~ c0_1(X6)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f237,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c2_1(X3)
      | c3_1(X3)
      | c3_1(X4)
      | ~ c1_1(X4)
      | ~ c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f240,definition,
    ( spl0_1
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f244,definition,
    ( spl0_2
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f248,definition,
    ( spl0_3
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f251,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f248,f244,f240]) ).

fof(f253,definition,
    ( spl0_4
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_5
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f264,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f261,f257,f253]) ).

fof(f266,definition,
    ( spl0_7
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_8
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f270,f266,f253]) ).

fof(f275,definition,
    ( spl0_9
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_10
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_11
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_12
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_13
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_14
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f300,plain,
    ( spl0_7
    | spl0_11
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f296,f283,f266]) ).

fof(f302,definition,
    ( spl0_15
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_16
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f309,plain,
    ( spl0_15
    | spl0_11
    | spl0_16 ),
    inference(avatar_split_clause,[],[f12,f306,f283,f302]) ).

fof(f311,definition,
    ( spl0_17
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_18
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_19
  <=> ! [X104] :
        ( ~ c1_1(X104)
        | ~ c3_1(X104)
        | ~ c2_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | ~ c3_1(X104)
        | ~ c2_1(X104) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f328,definition,
    ( spl0_21
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_22
  <=> ! [X101] :
        ( ~ c0_1(X101)
        | ~ c2_1(X101)
        | ~ c1_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X101] :
        ( ~ c1_1(X101)
        | ~ c2_1(X101)
        | ~ c0_1(X101) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f341,definition,
    ( spl0_24
  <=> ! [X100] :
        ( ~ c0_1(X100)
        | ~ c3_1(X100)
        | ~ c2_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X100] :
        ( ~ c0_1(X100)
        | ~ c3_1(X100)
        | ~ c2_1(X100) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f344,definition,
    ( spl0_25
  <=> ! [X99] :
        ( c3_1(X99)
        | ~ c2_1(X99)
        | ~ c1_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X99] :
        ( ~ c1_1(X99)
        | ~ c2_1(X99)
        | c3_1(X99) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl0_26
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f356,definition,
    ( spl0_28
  <=> ! [X98] :
        ( c3_1(X98)
        | ~ c1_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X98] :
        ( ~ c1_1(X98)
        | c3_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_18
    | spl0_28 ),
    inference(avatar_split_clause,[],[f203,f356,f315,f341,f240]) ).

fof(f361,definition,
    ( spl0_29
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c3_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X95] :
        ( c2_1(X95)
        | ~ c3_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( spl0_4
    | spl0_26
    | ~ spl0_18
    | spl0_29 ),
    inference(avatar_split_clause,[],[f20,f361,f315,f348,f253]) ).

fof(f365,definition,
    ( spl0_30
  <=> ! [X94] :
        ( c3_1(X94)
        | ~ c2_1(X94)
        | ~ c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f366,plain,
    ( ! [X94] :
        ( ~ c0_1(X94)
        | ~ c2_1(X94)
        | c3_1(X94) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f369,definition,
    ( spl0_31
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c3_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c3_1(X92)
        | c2_1(X92) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f371,plain,
    ( spl0_7
    | spl0_16
    | ~ spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f22,f369,f315,f306,f266]) ).

fof(f373,definition,
    ( spl0_32
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f376,plain,
    ( spl0_32
    | spl0_30
    | ~ spl0_18
    | spl0_31 ),
    inference(avatar_split_clause,[],[f205,f369,f315,f365,f373]) ).

fof(f378,definition,
    ( spl0_33
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f382,definition,
    ( spl0_34
  <=> ! [X89] :
        ( c2_1(X89)
        | ~ c1_1(X89)
        | ~ c0_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | c2_1(X89)
        | ~ c0_1(X89) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_3
    | spl0_33
    | ~ spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f24,f382,f315,f378,f248]) ).

fof(f386,definition,
    ( spl0_35
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f389,plain,
    ( spl0_35
    | spl0_19
    | ~ spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f206,f382,f315,f319,f386]) ).

fof(f390,plain,
    ( spl0_1
    | spl0_31
    | ~ spl0_18
    | spl0_34 ),
    inference(avatar_split_clause,[],[f207,f382,f315,f369,f240]) ).

fof(f400,definition,
    ( spl0_38
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c3_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c1_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f408,definition,
    ( spl0_40
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_41
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | ~ c0_1(X79)
        | c1_1(X79) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f414,plain,
    ( spl0_40
    | spl0_33
    | ~ spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f30,f412,f315,f378,f408]) ).

fof(f415,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f31,f412,f315,f386,f248]) ).

fof(f417,definition,
    ( spl0_42
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f420,plain,
    ( spl0_42
    | spl0_28
    | ~ spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f210,f412,f315,f356,f417]) ).

fof(f422,definition,
    ( spl0_43
  <=> ! [X75] :
        ( c2_1(X75)
        | ~ c0_1(X75)
        | c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X75] :
        ( ~ c0_1(X75)
        | c2_1(X75)
        | c3_1(X75) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_17
    | spl0_43
    | ~ spl0_18
    | spl0_41 ),
    inference(avatar_split_clause,[],[f211,f412,f315,f422,f311]) ).

fof(f426,definition,
    ( spl0_44
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c0_1(X72)
        | c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | c1_1(X72)
        | c2_1(X72) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f212,f426,f315,f333,f328]) ).

fof(f429,plain,
    ( spl0_13
    | spl0_25
    | ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f213,f426,f315,f344,f292]) ).

fof(f431,definition,
    ( spl0_45
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_45
    | spl0_28
    | ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f214,f426,f315,f356,f431]) ).

fof(f436,definition,
    ( spl0_46
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c2_1(X67)
        | ~ c0_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | ~ c2_1(X67)
        | c1_1(X67) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl0_12
    | spl0_46
    | ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f215,f426,f315,f436,f288]) ).

fof(f440,definition,
    ( spl0_47
  <=> ! [X65] :
        ( c1_1(X65)
        | ~ c3_1(X65)
        | c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X65] :
        ( c2_1(X65)
        | ~ c3_1(X65)
        | c1_1(X65) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_45
    | spl0_47
    | ~ spl0_18
    | spl0_44 ),
    inference(avatar_split_clause,[],[f216,f426,f315,f440,f431]) ).

fof(f448,definition,
    ( spl0_49
  <=> ! [X63] :
        ( c1_1(X63)
        | c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | c1_1(X63)
        | c2_1(X63) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f452,definition,
    ( spl0_50
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | ~ c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | ~ c3_1(X62)
        | c0_1(X62) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl0_5
    | spl0_3
    | ~ spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f40,f452,f315,f248,f257]) ).

fof(f456,plain,
    ( spl0_16
    | spl0_34
    | ~ spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f217,f452,f315,f382,f306]) ).

fof(f457,plain,
    ( spl0_9
    | spl0_44
    | ~ spl0_18
    | spl0_50 ),
    inference(avatar_split_clause,[],[f218,f452,f315,f426,f275]) ).

fof(f459,definition,
    ( spl0_51
  <=> ! [X54] :
        ( c0_1(X54)
        | ~ c3_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | ~ c3_1(X54)
        | c0_1(X54) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( spl0_28
    | spl0_38
    | ~ spl0_18
    | spl0_51 ),
    inference(avatar_split_clause,[],[f219,f459,f315,f400,f356]) ).

fof(f462,plain,
    ( spl0_7
    | spl0_44
    | ~ spl0_18
    | spl0_51 ),
    inference(avatar_split_clause,[],[f220,f459,f315,f426,f266]) ).

fof(f464,definition,
    ( spl0_52
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f468,definition,
    ( spl0_53
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c2_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | ~ c1_1(X51) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f482,definition,
    ( spl0_56
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c1_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f483,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c0_1(X46)
        | c3_1(X46) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,plain,
    ( spl0_2
    | spl0_38
    | ~ spl0_18
    | spl0_56 ),
    inference(avatar_split_clause,[],[f222,f482,f315,f400,f244]) ).

fof(f487,definition,
    ( spl0_57
  <=> ! [X41] :
        ( c0_1(X41)
        | ~ c3_1(X41)
        | c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X41] :
        ( c0_1(X41)
        | ~ c3_1(X41)
        | c2_1(X41) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_28
    | spl0_56
    | ~ spl0_18
    | spl0_57 ),
    inference(avatar_split_clause,[],[f223,f487,f315,f482,f356]) ).

fof(f491,definition,
    ( spl0_58
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c1_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X40] :
        ( c0_1(X40)
        | ~ c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( spl0_2
    | spl0_15
    | ~ spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f53,f491,f315,f302,f244]) ).

fof(f495,plain,
    ( spl0_45
    | spl0_44
    | ~ spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f224,f491,f315,f426,f431]) ).

fof(f496,plain,
    ( spl0_29
    | spl0_53
    | ~ spl0_18
    | spl0_58 ),
    inference(avatar_split_clause,[],[f225,f491,f315,f468,f361]) ).

fof(f498,definition,
    ( spl0_59
  <=> ! [X33] :
        ( c0_1(X33)
        | c3_1(X33)
        | c2_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X33] :
        ( c0_1(X33)
        | c3_1(X33)
        | c2_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f57,f498,f315,f266,f261]) ).

fof(f501,plain,
    ( spl0_10
    | spl0_34
    | ~ spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f226,f498,f315,f382,f279]) ).

fof(f502,plain,
    ( spl0_28
    | spl0_34
    | ~ spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f227,f498,f315,f382,f356]) ).

fof(f503,plain,
    ( spl0_19
    | spl0_53
    | ~ spl0_18
    | spl0_59 ),
    inference(avatar_split_clause,[],[f228,f498,f315,f468,f319]) ).

fof(f505,definition,
    ( spl0_60
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c1_1(X24) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f509,plain,
    ( spl0_14
    | spl0_38
    | ~ spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f229,f505,f315,f400,f296]) ).

fof(f510,plain,
    ( spl0_40
    | spl0_46
    | ~ spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f230,f505,f315,f436,f408]) ).

fof(f511,plain,
    ( spl0_29
    | spl0_58
    | ~ spl0_18
    | spl0_60 ),
    inference(avatar_split_clause,[],[f231,f505,f315,f491,f361]) ).

fof(f513,definition,
    ( spl0_61
  <=> ! [X15] :
        ( c0_1(X15)
        | ~ c2_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X15] :
        ( c0_1(X15)
        | ~ c2_1(X15)
        | c1_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f516,plain,
    ( spl0_33
    | spl0_22
    | ~ spl0_18
    | spl0_61 ),
    inference(avatar_split_clause,[],[f232,f513,f315,f333,f378]) ).

fof(f517,plain,
    ( spl0_3
    | spl0_30
    | ~ spl0_18
    | spl0_61 ),
    inference(avatar_split_clause,[],[f233,f513,f315,f365,f248]) ).

fof(f520,definition,
    ( spl0_62
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( spl0_1
    | spl0_22
    | ~ spl0_18
    | spl0_62 ),
    inference(avatar_split_clause,[],[f235,f520,f315,f333,f240]) ).

fof(f523,plain,
    ( spl0_52
    | spl0_41
    | ~ spl0_18
    | spl0_62 ),
    inference(avatar_split_clause,[],[f236,f520,f315,f412,f464]) ).

fof(f524,plain,
    ( spl0_25
    | spl0_59
    | ~ spl0_18
    | spl0_62 ),
    inference(avatar_split_clause,[],[f237,f520,f315,f498,f344]) ).

fof(f530,definition,
    ( spl0_64
  <=> c2_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f533,plain,
    ( spl0_64
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f74,f386,f530]) ).

fof(f535,definition,
    ( spl0_65
  <=> c1_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f537,plain,
    ( c1_1(a522)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( spl0_65
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f75,f386,f535]) ).

fof(f540,definition,
    ( spl0_66
  <=> c0_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f542,plain,
    ( c0_1(a522)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f543,plain,
    ( spl0_66
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f76,f386,f540]) ).

fof(f578,definition,
    ( spl0_73
  <=> c3_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f581,plain,
    ( spl0_73
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f86,f296,f578]) ).

fof(f583,definition,
    ( spl0_74
  <=> c2_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f585,plain,
    ( c2_1(a500)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( spl0_74
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f87,f296,f583]) ).

fof(f588,definition,
    ( spl0_75
  <=> c0_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f590,plain,
    ( c0_1(a500)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( spl0_75
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f88,f296,f588]) ).

fof(f594,definition,
    ( spl0_76
  <=> c1_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ c1_1(a568)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f597,plain,
    ( ~ spl0_76
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f90,f270,f594]) ).

fof(f604,definition,
    ( spl0_78
  <=> c0_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f606,plain,
    ( c0_1(a568)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,plain,
    ( spl0_78
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f92,f270,f604]) ).

fof(f610,definition,
    ( spl0_79
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c3_1(a559)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f94,f253,f610]) ).

fof(f615,definition,
    ( spl0_80
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f618,plain,
    ( ~ spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f95,f253,f615]) ).

fof(f620,definition,
    ( spl0_81
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ c0_1(a559)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_81
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f96,f253,f620]) ).

fof(f626,definition,
    ( spl0_82
  <=> c3_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c3_1(a558)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f629,plain,
    ( ~ spl0_82
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f98,f348,f626]) ).

fof(f631,definition,
    ( spl0_83
  <=> c0_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c0_1(a558)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( ~ spl0_83
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f99,f348,f631]) ).

fof(f642,definition,
    ( spl0_85
  <=> c3_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ c3_1(a554)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( ~ spl0_85
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f102,f373,f642]) ).

fof(f647,definition,
    ( spl0_86
  <=> c2_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c2_1(a554)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( ~ spl0_86
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f103,f373,f647]) ).

fof(f652,definition,
    ( spl0_87
  <=> c0_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f654,plain,
    ( c0_1(a554)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( spl0_87
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f104,f373,f652]) ).

fof(f658,definition,
    ( spl0_88
  <=> c2_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c2_1(a541)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f661,plain,
    ( ~ spl0_88
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f106,f417,f658]) ).

fof(f663,definition,
    ( spl0_89
  <=> c1_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f665,plain,
    ( c1_1(a541)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_89
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f107,f417,f663]) ).

fof(f668,definition,
    ( spl0_90
  <=> c0_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_90
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f108,f417,f668]) ).

fof(f674,definition,
    ( spl0_91
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f676,plain,
    ( ~ c0_1(a540)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f677,plain,
    ( ~ spl0_91
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f110,f311,f674]) ).

fof(f679,definition,
    ( spl0_92
  <=> c3_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f681,plain,
    ( c3_1(a540)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f682,plain,
    ( spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f111,f311,f679]) ).

fof(f684,definition,
    ( spl0_93
  <=> c1_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f686,plain,
    ( c1_1(a540)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,plain,
    ( spl0_93
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f112,f311,f684]) ).

fof(f690,definition,
    ( spl0_94
  <=> c3_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ spl0_94
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f114,f292,f690]) ).

fof(f700,definition,
    ( spl0_96
  <=> c0_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f702,plain,
    ( c0_1(a538)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_96
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f116,f292,f700]) ).

fof(f706,definition,
    ( spl0_97
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ c2_1(a536)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( ~ spl0_97
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f118,f288,f706]) ).

fof(f716,definition,
    ( spl0_99
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c0_1(a536)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( ~ spl0_99
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f120,f288,f716]) ).

fof(f754,definition,
    ( spl0_106
  <=> c2_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ c2_1(a532)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ( ~ spl0_106
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f130,f257,f754]) ).

fof(f759,definition,
    ( spl0_107
  <=> c1_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ c1_1(a532)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( ~ spl0_107
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f131,f257,f759]) ).

fof(f764,definition,
    ( spl0_108
  <=> c3_1(a532) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f766,plain,
    ( c3_1(a532)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( spl0_108
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f257,f764]) ).

fof(f786,definition,
    ( spl0_112
  <=> c3_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ c3_1(a528)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( ~ spl0_112
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f138,f306,f786]) ).

fof(f791,definition,
    ( spl0_113
  <=> c1_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f793,plain,
    ( c1_1(a528)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( spl0_113
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f139,f306,f791]) ).

fof(f796,definition,
    ( spl0_114
  <=> c0_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f798,plain,
    ( c0_1(a528)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f799,plain,
    ( spl0_114
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f140,f306,f796]) ).

fof(f802,definition,
    ( spl0_115
  <=> c3_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f804,plain,
    ( ~ c3_1(a527)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,plain,
    ( ~ spl0_115
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f142,f275,f802]) ).

fof(f807,definition,
    ( spl0_116
  <=> c1_1(a527) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ c1_1(a527)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f810,plain,
    ( ~ spl0_116
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f143,f275,f807]) ).

fof(f818,definition,
    ( spl0_118
  <=> c3_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f820,plain,
    ( ~ c3_1(a520)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( ~ spl0_118
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f146,f283,f818]) ).

fof(f823,definition,
    ( spl0_119
  <=> c2_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f825,plain,
    ( c2_1(a520)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_119
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f147,f283,f823]) ).

fof(f828,definition,
    ( spl0_120
  <=> c0_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f830,plain,
    ( c0_1(a520)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_120
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f148,f283,f828]) ).

fof(f834,definition,
    ( spl0_121
  <=> c2_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ c2_1(a514)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( ~ spl0_121
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f150,f302,f834]) ).

fof(f839,definition,
    ( spl0_122
  <=> c3_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f842,plain,
    ( spl0_122
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f151,f302,f839]) ).

fof(f844,definition,
    ( spl0_123
  <=> c1_1(a514) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f846,plain,
    ( c1_1(a514)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( spl0_123
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f152,f302,f844]) ).

fof(f850,definition,
    ( spl0_124
  <=> c2_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c2_1(a510)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl0_124
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f154,f261,f850]) ).

fof(f855,definition,
    ( spl0_125
  <=> c1_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f858,plain,
    ( ~ spl0_125
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f155,f261,f855]) ).

fof(f860,definition,
    ( spl0_126
  <=> c0_1(a510) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f862,plain,
    ( c0_1(a510)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f156,f261,f860]) ).

fof(f866,definition,
    ( spl0_127
  <=> c2_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ c2_1(a509)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( ~ spl0_127
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f158,f266,f866]) ).

fof(f871,definition,
    ( spl0_128
  <=> c3_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f873,plain,
    ( c3_1(a509)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( spl0_128
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f159,f266,f871]) ).

fof(f876,definition,
    ( spl0_129
  <=> c0_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f878,plain,
    ( c0_1(a509)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl0_129
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f160,f266,f876]) ).

fof(f882,definition,
    ( spl0_130
  <=> c1_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f884,plain,
    ( ~ c1_1(a507)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( ~ spl0_130
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f162,f431,f882]) ).

fof(f887,definition,
    ( spl0_131
  <=> c0_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ c0_1(a507)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( ~ spl0_131
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f163,f431,f887]) ).

fof(f892,definition,
    ( spl0_132
  <=> c3_1(a507) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f894,plain,
    ( c3_1(a507)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl0_132
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f164,f431,f892]) ).

fof(f898,definition,
    ( spl0_133
  <=> c0_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ c0_1(a505)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f901,plain,
    ( ~ spl0_133
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f166,f244,f898]) ).

fof(f903,definition,
    ( spl0_134
  <=> c3_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f905,plain,
    ( c3_1(a505)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( spl0_134
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f167,f244,f903]) ).

fof(f908,definition,
    ( spl0_135
  <=> c2_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f910,plain,
    ( c2_1(a505)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( spl0_135
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f168,f244,f908]) ).

fof(f912,plain,
    ( spl0_18
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f169,f244,f315]) ).

fof(f914,definition,
    ( spl0_136
  <=> c3_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c3_1(a502)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f917,plain,
    ( ~ spl0_136
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f170,f408,f914]) ).

fof(f919,definition,
    ( spl0_137
  <=> c1_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ c1_1(a502)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( ~ spl0_137
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f171,f408,f919]) ).

fof(f924,definition,
    ( spl0_138
  <=> c0_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ c0_1(a502)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( ~ spl0_138
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f172,f408,f924]) ).

fof(f930,definition,
    ( spl0_139
  <=> c3_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f933,plain,
    ( ~ spl0_139
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f174,f279,f930]) ).

fof(f935,definition,
    ( spl0_140
  <=> c2_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f937,plain,
    ( c2_1(a501)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( spl0_140
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f175,f279,f935]) ).

fof(f940,definition,
    ( spl0_141
  <=> c1_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f942,plain,
    ( c1_1(a501)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_141
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f176,f279,f940]) ).

fof(f946,definition,
    ( spl0_142
  <=> c1_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c1_1(a499)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl0_142
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f178,f378,f946]) ).

fof(f951,definition,
    ( spl0_143
  <=> c2_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f953,plain,
    ( c2_1(a499)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_143
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f179,f378,f951]) ).

fof(f956,definition,
    ( spl0_144
  <=> c0_1(a499) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f958,plain,
    ( c0_1(a499)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( spl0_144
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f180,f378,f956]) ).

fof(f962,definition,
    ( spl0_145
  <=> c2_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f964,plain,
    ( ~ c2_1(a498)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f965,plain,
    ( ~ spl0_145
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f182,f248,f962]) ).

fof(f967,definition,
    ( spl0_146
  <=> c0_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f969,plain,
    ( ~ c0_1(a498)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f970,plain,
    ( ~ spl0_146
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f183,f248,f967]) ).

fof(f972,definition,
    ( spl0_147
  <=> c1_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f974,plain,
    ( c1_1(a498)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,plain,
    ( spl0_147
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f184,f248,f972]) ).

fof(f976,plain,
    ( spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f185,f248,f315]) ).

fof(f978,definition,
    ( spl0_148
  <=> c1_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ c1_1(a497)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( ~ spl0_148
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f186,f328,f978]) ).

fof(f983,definition,
    ( spl0_149
  <=> c0_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ c0_1(a497)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f986,plain,
    ( ~ spl0_149
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f187,f328,f983]) ).

fof(f988,definition,
    ( spl0_150
  <=> c2_1(a497) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f990,plain,
    ( c2_1(a497)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,plain,
    ( spl0_150
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f188,f328,f988]) ).

fof(f994,definition,
    ( spl0_151
  <=> c3_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ c3_1(a496)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( ~ spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f240,f994]) ).

fof(f999,definition,
    ( spl0_152
  <=> c2_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ c2_1(a496)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1002,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f240,f999]) ).

fof(f1004,definition,
    ( spl0_153
  <=> c1_1(a496) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c1_1(a496)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1004]) ).

fof(f1007,plain,
    ( ~ spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f240,f1004]) ).

fof(f1008,plain,
    ( spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f240,f315]) ).

fof(f1010,definition,
    ( spl0_154
  <=> c3_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ spl0_154
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f194,f464,f1010]) ).

fof(f1015,definition,
    ( spl0_155
  <=> c0_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1018,plain,
    ( ~ spl0_155
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f195,f464,f1015]) ).

fof(f1020,definition,
    ( spl0_156
  <=> c1_1(a495) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1022,plain,
    ( c1_1(a495)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1023,plain,
    ( spl0_156
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f196,f464,f1020]) ).

fof(f1044,plain,
    ( ~ c3_1(a500)
    | ~ c2_1(a500)
    | ~ spl0_24
    | ~ spl0_75 ),
    inference(resolution,[],[f342,f590]) ).

fof(f1051,plain,
    ( c3_1(a528)
    | ~ c0_1(a528)
    | ~ spl0_28
    | ~ spl0_113 ),
    inference(resolution,[],[f357,f793]) ).

fof(f1052,plain,
    ( ~ c0_1(a528)
    | ~ spl0_28
    | spl0_112
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1051,f788]) ).

fof(f1055,plain,
    ( ~ c3_1(a500)
    | ~ spl0_24
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1044,f585]) ).

fof(f1057,plain,
    ( ~ spl0_73
    | ~ spl0_24
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1055,f588,f583,f341,f578]) ).

fof(f1083,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | ~ c0_1(X92) )
    | ~ spl0_24
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f370,f342]) ).

fof(f1095,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | ~ c0_1(X89) )
    | ~ spl0_22
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f383,f334]) ).

fof(f1096,plain,
    ( ~ c0_1(a528)
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f1095,f793]) ).

fof(f1097,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1096,f798]) ).

fof(f1098,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1099,plain,
    ( c2_1(a528)
    | ~ c0_1(a528)
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f383,f793]) ).

fof(f1100,plain,
    ( c2_1(a528)
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1099,f798]) ).

fof(f1123,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f413,f1083]) ).

fof(f1128,plain,
    ( ~ c0_1(a568)
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_41
    | spl0_76 ),
    inference(resolution,[],[f1123,f596]) ).

fof(f1130,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_41
    | spl0_76
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[],[f1128,f606]) ).

fof(f1131,plain,
    ( ~ spl0_24
    | ~ spl0_31
    | ~ spl0_41
    | spl0_76
    | ~ spl0_78 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1140,plain,
    ( c2_1(a541)
    | ~ c0_1(a541)
    | ~ spl0_34
    | ~ spl0_89 ),
    inference(resolution,[],[f665,f383]) ).

fof(f1141,plain,
    ( ~ c0_1(a541)
    | ~ spl0_34
    | spl0_88
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1140,f660]) ).

fof(f1142,plain,
    ( ~ spl0_90
    | ~ spl0_34
    | spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1141,f663,f658,f382,f668]) ).

fof(f1293,plain,
    ( ~ spl0_114
    | ~ spl0_28
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1052,f791,f786,f356,f796]) ).

fof(f1347,definition,
    ( spl0_161
  <=> c2_1(a528) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1460,plain,
    ( ~ c0_1(a522)
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_65 ),
    inference(resolution,[],[f1095,f537]) ).

fof(f1461,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1460,f542]) ).

fof(f1462,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1496,plain,
    ( ~ c2_1(a522)
    | ~ c0_1(a522)
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f334,f537]) ).

fof(f1502,plain,
    ( ~ c2_1(a522)
    | ~ spl0_22
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1496,f542]) ).

fof(f1503,plain,
    ( ~ spl0_64
    | ~ spl0_22
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1502,f540,f535,f333,f530]) ).

fof(f1523,plain,
    ( c3_1(a522)
    | ~ c0_1(a522)
    | ~ spl0_28
    | ~ spl0_65 ),
    inference(resolution,[],[f357,f537]) ).

fof(f1524,plain,
    ( c3_1(a522)
    | ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f1523,f542]) ).

fof(f1537,plain,
    ( c1_1(a509)
    | c2_1(a509)
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f427,f878]) ).

fof(f1595,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_44
    | ~ spl0_59 ),
    inference(resolution,[],[f499,f427]) ).

fof(f1599,plain,
    ( c3_1(a498)
    | c2_1(a498)
    | ~ spl0_59
    | spl0_146 ),
    inference(resolution,[],[f499,f969]) ).

fof(f1601,plain,
    ( c3_1(a502)
    | c2_1(a502)
    | ~ spl0_59
    | spl0_138 ),
    inference(resolution,[],[f499,f926]) ).

fof(f1607,plain,
    ( c3_1(a536)
    | c2_1(a536)
    | ~ spl0_59
    | spl0_99 ),
    inference(resolution,[],[f499,f718]) ).

fof(f1609,plain,
    ( c3_1(a559)
    | c2_1(a559)
    | ~ spl0_59
    | spl0_81 ),
    inference(resolution,[],[f499,f622]) ).

fof(f1610,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1595]) ).

fof(f1611,plain,
    ( c2_1(a559)
    | ~ spl0_59
    | spl0_79
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1609,f612]) ).

fof(f1612,plain,
    ( c3_1(a536)
    | ~ spl0_59
    | spl0_97
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1607,f708]) ).

fof(f1616,plain,
    ( c2_1(a502)
    | ~ spl0_59
    | spl0_136
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1601,f916]) ).

fof(f1618,plain,
    ( c3_1(a498)
    | ~ spl0_59
    | spl0_145
    | spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1599,f964]) ).

fof(f1620,plain,
    ( spl0_49
    | ~ spl0_44
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1610,f498,f426,f448]) ).

fof(f1641,plain,
    ( spl0_80
    | ~ spl0_59
    | spl0_79
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1611,f620,f610,f498,f615]) ).

fof(f1670,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c1_1(X79) )
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f413,f401]) ).

fof(f1703,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(resolution,[],[f1670,f499]) ).

fof(f1708,plain,
    ( c1_1(a520)
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(resolution,[],[f1670,f830]) ).

fof(f1729,plain,
    ( spl0_49
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1703,f498,f412,f400,f448]) ).

fof(f1732,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c3_1(X79) )
    | ~ spl0_28
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f413,f357]) ).

fof(f1749,plain,
    ( c3_1(a520)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(resolution,[],[f1732,f830]) ).

fof(f1794,plain,
    ( c2_1(a538)
    | c3_1(a538)
    | ~ spl0_43
    | ~ spl0_96 ),
    inference(resolution,[],[f423,f702]) ).

fof(f1796,plain,
    ( c2_1(a554)
    | c3_1(a554)
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(resolution,[],[f423,f654]) ).

fof(f1801,plain,
    ( c3_1(a554)
    | ~ spl0_43
    | spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1796,f649]) ).

fof(f1805,plain,
    ( $false
    | ~ spl0_43
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f1801,f644]) ).

fof(f1806,plain,
    ( ~ spl0_43
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f1805]) ).

fof(f1876,definition,
    ( spl0_167
  <=> c1_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1878,plain,
    ( c1_1(a554)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1876]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_49 ),
    inference(resolution,[],[f449,f401]) ).

fof(f1928,plain,
    ( c1_1(a496)
    | c2_1(a496)
    | ~ spl0_49
    | spl0_151 ),
    inference(resolution,[],[f449,f996]) ).

fof(f1942,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1925]) ).

fof(f1947,plain,
    ( c2_1(a496)
    | ~ spl0_49
    | spl0_151
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1928,f1006]) ).

fof(f1948,plain,
    ( spl0_44
    | ~ spl0_38
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1942,f448,f400,f426]) ).

fof(f1983,definition,
    ( spl0_168
  <=> c1_1(a520) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1985,plain,
    ( c1_1(a520)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f2011,definition,
    ( spl0_171
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f2012,plain,
    ( ~ c2_1(a540)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f2011]) ).

fof(f2013,plain,
    ( c2_1(a540)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2011]) ).

fof(f2040,definition,
    ( spl0_172
  <=> c3_1(a522) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f2222,plain,
    ( c1_1(a509)
    | ~ c0_1(a509)
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(resolution,[],[f401,f873]) ).

fof(f2239,plain,
    ( ~ c3_1(a540)
    | c0_1(a540)
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(resolution,[],[f460,f686]) ).

fof(f2244,plain,
    ( c0_1(a540)
    | ~ spl0_51
    | ~ spl0_92
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f2239,f681]) ).

fof(f2264,definition,
    ( spl0_174
  <=> c3_1(a498) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f2271,plain,
    ( spl0_91
    | ~ spl0_51
    | ~ spl0_92
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2244,f684,f679,f459,f674]) ).

fof(f2299,plain,
    ( ~ c0_1(a496)
    | c1_1(a496)
    | ~ spl0_41
    | spl0_151 ),
    inference(resolution,[],[f413,f996]) ).

fof(f2303,plain,
    ( ~ c0_1(a520)
    | c1_1(a520)
    | ~ spl0_41
    | spl0_118 ),
    inference(resolution,[],[f413,f820]) ).

fof(f2317,plain,
    ( c1_1(a520)
    | ~ spl0_41
    | spl0_118
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2303,f830]) ).

fof(f2320,plain,
    ( ~ c0_1(a496)
    | ~ spl0_41
    | spl0_151
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2299,f1006]) ).

fof(f2328,plain,
    ( spl0_168
    | ~ spl0_41
    | spl0_118
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2317,f828,f818,f412,f1983]) ).

fof(f2361,definition,
    ( spl0_177
  <=> c1_1(a509) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f2369,plain,
    ( ~ spl0_129
    | spl0_177
    | ~ spl0_38
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2222,f871,f400,f2361,f876]) ).

fof(f2372,plain,
    ( spl0_174
    | ~ spl0_59
    | spl0_145
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1618,f967,f962,f498,f2264]) ).

fof(f2425,plain,
    ( c0_1(a495)
    | c3_1(a495)
    | ~ spl0_56
    | ~ spl0_156 ),
    inference(resolution,[],[f483,f1022]) ).

fof(f2459,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24) )
    | ~ spl0_38
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f506,f401]) ).

fof(f2467,plain,
    ( c1_1(a532)
    | ~ spl0_38
    | ~ spl0_60
    | ~ spl0_108 ),
    inference(resolution,[],[f2459,f766]) ).

fof(f2489,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | c3_1(X75) )
    | ~ spl0_43
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f423,f499]) ).

fof(f2513,plain,
    ( spl0_118
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1749,f828,f412,f356,f818]) ).

fof(f2527,definition,
    ( spl0_179
  <=> c1_1(a505) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f2683,plain,
    ( ~ c3_1(a498)
    | ~ c1_1(a498)
    | ~ spl0_29
    | spl0_145 ),
    inference(resolution,[],[f362,f964]) ).

fof(f2685,plain,
    ( ~ c3_1(a514)
    | ~ c1_1(a514)
    | ~ spl0_29
    | spl0_121 ),
    inference(resolution,[],[f362,f836]) ).

fof(f2689,plain,
    ( ~ c3_1(a498)
    | ~ spl0_29
    | spl0_145
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2683,f974]) ).

fof(f2693,plain,
    ( ~ spl0_174
    | ~ spl0_29
    | spl0_145
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2689,f972,f962,f361,f2264]) ).

fof(f2719,plain,
    ( spl0_154
    | spl0_155
    | ~ spl0_56
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2425,f1020,f482,f1015,f1010]) ).

fof(f2820,definition,
    ( spl0_180
  <=> c2_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f2961,plain,
    ( ~ c3_1(a514)
    | ~ spl0_29
    | spl0_121
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f2685,f846]) ).

fof(f2978,plain,
    ( ~ spl0_122
    | ~ spl0_29
    | spl0_121
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2961,f844,f834,f361,f839]) ).

fof(f3032,plain,
    ( c3_1(a496)
    | ~ spl0_43
    | ~ spl0_59
    | spl0_152 ),
    inference(resolution,[],[f2489,f1001]) ).

fof(f3098,plain,
    ( spl0_161
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1100,f796,f791,f382,f1347]) ).

fof(f3102,plain,
    ( spl0_168
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1708,f828,f412,f400,f1983]) ).

fof(f3147,plain,
    ( ~ c3_1(a509)
    | ~ c1_1(a509)
    | ~ spl0_29
    | spl0_127 ),
    inference(resolution,[],[f362,f868]) ).

fof(f3153,plain,
    ( ~ c3_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_29
    | spl0_171 ),
    inference(resolution,[],[f362,f2012]) ).

fof(f3158,plain,
    ( ~ c1_1(a540)
    | ~ spl0_29
    | ~ spl0_92
    | spl0_171 ),
    inference(forward_subsumption_resolution,[],[f3153,f681]) ).

fof(f3161,plain,
    ( ~ c1_1(a509)
    | ~ spl0_29
    | spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f3147,f873]) ).

fof(f3166,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_92
    | ~ spl0_93
    | spl0_171 ),
    inference(forward_subsumption_resolution,[],[f3158,f686]) ).

fof(f3167,plain,
    ( ~ spl0_29
    | ~ spl0_92
    | ~ spl0_93
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f3166]) ).

fof(f3169,plain,
    ( ~ spl0_177
    | ~ spl0_29
    | spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f3161,f871,f866,f361,f2361]) ).

fof(f3175,plain,
    ( spl0_107
    | ~ spl0_38
    | ~ spl0_60
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2467,f764,f505,f400,f759]) ).

fof(f3303,plain,
    ( spl0_172
    | ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1524,f540,f535,f356,f2040]) ).

fof(f3313,plain,
    ( c3_1(a520)
    | ~ c0_1(a520)
    | ~ spl0_28
    | ~ spl0_168 ),
    inference(resolution,[],[f357,f1985]) ).

fof(f3339,plain,
    ( c3_1(a520)
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3313,f830]) ).

fof(f3341,plain,
    ( spl0_118
    | ~ spl0_28
    | ~ spl0_120
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f3339,f1983,f828,f356,f818]) ).

fof(f3347,plain,
    ( ~ c2_1(a520)
    | c3_1(a520)
    | ~ spl0_30
    | ~ spl0_120 ),
    inference(resolution,[],[f366,f830]) ).

fof(f3352,plain,
    ( c3_1(a520)
    | ~ spl0_30
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f3347,f825]) ).

fof(f3354,plain,
    ( spl0_118
    | ~ spl0_30
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f3352,f828,f823,f365,f818]) ).

fof(f3357,plain,
    ( ~ c3_1(a509)
    | c2_1(a509)
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(resolution,[],[f370,f878]) ).

fof(f3380,plain,
    ( c2_1(a554)
    | ~ c0_1(a554)
    | ~ spl0_34
    | ~ spl0_167 ),
    inference(resolution,[],[f383,f1878]) ).

fof(f3392,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | c2_1(X72) )
    | ~ spl0_34
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f427,f383]) ).

fof(f3393,plain,
    ( c2_1(a509)
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(resolution,[],[f3392,f878]) ).

fof(f3401,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_44
    | spl0_127
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f3393,f868]) ).

fof(f3402,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | spl0_127
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f3401]) ).

fof(f3403,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | ~ c1_1(X40) )
    | ~ spl0_34
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f492,f383]) ).

fof(f3415,plain,
    ( ~ c1_1(a498)
    | ~ spl0_34
    | ~ spl0_58
    | spl0_145 ),
    inference(resolution,[],[f3403,f964]) ).

fof(f3417,plain,
    ( ~ c1_1(a509)
    | ~ spl0_34
    | ~ spl0_58
    | spl0_127 ),
    inference(resolution,[],[f3403,f868]) ).

fof(f3419,plain,
    ( ~ c1_1(a514)
    | ~ spl0_34
    | ~ spl0_58
    | spl0_121 ),
    inference(resolution,[],[f3403,f836]) ).

fof(f3440,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_58
    | spl0_121
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f3419,f846]) ).

fof(f3441,plain,
    ( ~ spl0_34
    | ~ spl0_58
    | spl0_121
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f3440]) ).

fof(f3442,plain,
    ( ~ spl0_177
    | ~ spl0_34
    | ~ spl0_58
    | spl0_127 ),
    inference(avatar_split_clause,[],[f3417,f866,f491,f382,f2361]) ).

fof(f3444,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_58
    | spl0_145
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f3415,f974]) ).

fof(f3445,plain,
    ( ~ spl0_34
    | ~ spl0_58
    | spl0_145
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3444]) ).

fof(f3454,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f3357,f876,f369,f871,f866]) ).

fof(f3506,plain,
    ( ~ c3_1(a540)
    | ~ c2_1(a540)
    | ~ spl0_19
    | ~ spl0_93 ),
    inference(resolution,[],[f320,f686]) ).

fof(f3511,plain,
    ( ~ c3_1(a522)
    | ~ c2_1(a522)
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(resolution,[],[f320,f537]) ).

fof(f3524,plain,
    ( ! [X95] :
        ( ~ c3_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_19
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f362,f320]) ).

fof(f3526,plain,
    ( ~ c1_1(a505)
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_134 ),
    inference(resolution,[],[f3524,f905]) ).

fof(f3533,plain,
    ( ~ spl0_179
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f3526,f903,f361,f319,f2527]) ).

fof(f3574,plain,
    ( spl0_152
    | ~ spl0_49
    | spl0_151
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1947,f1004,f994,f448,f999]) ).

fof(f3624,plain,
    ( ~ spl0_171
    | ~ spl0_92
    | ~ spl0_19
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f3506,f684,f319,f679,f2011]) ).

fof(f3666,plain,
    ( spl0_127
    | spl0_177
    | ~ spl0_44
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1537,f876,f426,f2361,f866]) ).

fof(f3677,plain,
    ( c1_1(a510)
    | c2_1(a510)
    | ~ spl0_44
    | ~ spl0_126 ),
    inference(resolution,[],[f427,f862]) ).

fof(f3692,plain,
    ( ~ c3_1(a532)
    | c1_1(a532)
    | ~ spl0_47
    | spl0_106 ),
    inference(resolution,[],[f441,f756]) ).

fof(f3700,plain,
    ( c1_1(a532)
    | ~ spl0_47
    | spl0_106
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f3692,f766]) ).

fof(f3706,plain,
    ( $false
    | ~ spl0_47
    | spl0_106
    | spl0_107
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f3700,f761]) ).

fof(f3707,plain,
    ( ~ spl0_47
    | spl0_106
    | spl0_107
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f3706]) ).

fof(f3712,plain,
    ( ~ c3_1(a505)
    | c0_1(a505)
    | ~ spl0_50
    | ~ spl0_135 ),
    inference(resolution,[],[f453,f910]) ).

fof(f3725,plain,
    ( c0_1(a505)
    | ~ spl0_50
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3712,f905]) ).

fof(f3757,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_44
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f3677,f860,f426,f855,f850]) ).

fof(f3859,plain,
    ( c0_1(a501)
    | ~ c1_1(a501)
    | ~ spl0_53
    | ~ spl0_140 ),
    inference(resolution,[],[f469,f937]) ).

fof(f3867,plain,
    ( c0_1(a501)
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f3859,f942]) ).

fof(f4072,plain,
    ( ~ spl0_64
    | ~ spl0_172
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f3511,f535,f319,f2040,f530]) ).

fof(f4086,plain,
    ( ~ c3_1(a536)
    | c2_1(a536)
    | ~ spl0_57
    | spl0_99 ),
    inference(resolution,[],[f488,f718]) ).

fof(f4092,plain,
    ( ~ c3_1(a536)
    | ~ spl0_57
    | spl0_97
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f4086,f708]) ).

fof(f4139,plain,
    ( ~ c1_1(a498)
    | c2_1(a498)
    | ~ spl0_58
    | spl0_146 ),
    inference(resolution,[],[f492,f969]) ).

fof(f4145,plain,
    ( ~ c1_1(a540)
    | c2_1(a540)
    | ~ spl0_58
    | spl0_91 ),
    inference(resolution,[],[f492,f676]) ).

fof(f4148,plain,
    ( c2_1(a540)
    | ~ spl0_58
    | spl0_91
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f4145,f686]) ).

fof(f4150,plain,
    ( c2_1(a498)
    | ~ spl0_58
    | spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f4139,f974]) ).

fof(f4197,plain,
    ( ~ c2_1(a501)
    | c3_1(a501)
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(resolution,[],[f345,f942]) ).

fof(f4200,plain,
    ( ~ c2_1(a520)
    | c3_1(a520)
    | ~ spl0_25
    | ~ spl0_168 ),
    inference(resolution,[],[f345,f1985]) ).

fof(f4201,plain,
    ( ~ c2_1(a528)
    | c3_1(a528)
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(resolution,[],[f345,f793]) ).

fof(f4212,plain,
    ( c3_1(a501)
    | ~ spl0_25
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f4197,f937]) ).

fof(f4218,definition,
    ( spl0_185
  <=> c0_1(a501) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f4222,plain,
    ( spl0_139
    | ~ spl0_25
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f4212,f940,f935,f344,f930]) ).

fof(f4231,plain,
    ( ~ c0_1(a554)
    | c1_1(a554)
    | ~ spl0_41
    | spl0_85 ),
    inference(resolution,[],[f413,f644]) ).

fof(f4288,plain,
    ( ~ c2_1(a538)
    | c3_1(a538)
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(resolution,[],[f366,f702]) ).

fof(f4303,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_41
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[],[f521,f413]) ).

fof(f4304,plain,
    ( c1_1(a496)
    | ~ spl0_41
    | ~ spl0_62
    | spl0_151 ),
    inference(resolution,[],[f4303,f996]) ).

fof(f4307,plain,
    ( c1_1(a527)
    | ~ spl0_41
    | ~ spl0_62
    | spl0_115 ),
    inference(resolution,[],[f4303,f804]) ).

fof(f4316,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_62
    | spl0_115
    | spl0_116 ),
    inference(forward_subsumption_resolution,[],[f4307,f809]) ).

fof(f4317,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_115
    | spl0_116 ),
    inference(avatar_contradiction_clause,[],[f4316]) ).

fof(f4320,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_62
    | spl0_151
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f4304,f1006]) ).

fof(f4321,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_151
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f4320]) ).

fof(f4341,plain,
    ( c3_1(a496)
    | c2_1(a496)
    | ~ spl0_41
    | ~ spl0_59
    | spl0_151
    | spl0_153 ),
    inference(resolution,[],[f2320,f499]) ).

fof(f4344,plain,
    ( c2_1(a496)
    | ~ spl0_41
    | ~ spl0_59
    | spl0_151
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f4341,f996]) ).

fof(f4345,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_59
    | spl0_151
    | spl0_152
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f4344,f1001]) ).

fof(f4346,plain,
    ( ~ spl0_41
    | ~ spl0_59
    | spl0_151
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f4345]) ).

fof(f4348,plain,
    ( spl0_94
    | spl0_180
    | ~ spl0_43
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1794,f700,f422,f2820,f690]) ).

fof(f4350,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_59
    | spl0_151
    | spl0_152 ),
    inference(forward_subsumption_resolution,[],[f3032,f996]) ).

fof(f4351,plain,
    ( ~ spl0_43
    | ~ spl0_59
    | spl0_151
    | spl0_152 ),
    inference(avatar_contradiction_clause,[],[f4350]) ).

fof(f4383,plain,
    ( spl0_167
    | ~ spl0_87
    | ~ spl0_41
    | spl0_85 ),
    inference(avatar_split_clause,[],[f4231,f642,f412,f652,f1876]) ).

fof(f4384,plain,
    ( spl0_185
    | ~ spl0_53
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3867,f940,f935,f468,f4218]) ).

fof(f4395,plain,
    ( spl0_112
    | ~ spl0_161
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f4201,f791,f344,f1347,f786]) ).

fof(f4404,plain,
    ( ~ spl0_87
    | spl0_86
    | ~ spl0_34
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f3380,f1876,f382,f647,f652]) ).

fof(f4407,plain,
    ( c3_1(a520)
    | ~ spl0_25
    | ~ spl0_119
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f4200,f825]) ).

fof(f4408,plain,
    ( spl0_118
    | ~ spl0_25
    | ~ spl0_119
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f4407,f1983,f823,f344,f818]) ).

fof(f4430,plain,
    ( c3_1(a501)
    | ~ c0_1(a501)
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(resolution,[],[f357,f942]) ).

fof(f4474,plain,
    ( c0_1(a505)
    | ~ c1_1(a505)
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(resolution,[],[f469,f910]) ).

fof(f4480,plain,
    ( c0_1(a540)
    | ~ c1_1(a540)
    | ~ spl0_53
    | ~ spl0_171 ),
    inference(resolution,[],[f469,f2013]) ).

fof(f4519,plain,
    ( ~ c3_1(a505)
    | c1_1(a505)
    | ~ spl0_60
    | spl0_133 ),
    inference(resolution,[],[f506,f900]) ).

fof(f4520,plain,
    ( ~ c3_1(a507)
    | c1_1(a507)
    | ~ spl0_60
    | spl0_131 ),
    inference(resolution,[],[f506,f889]) ).

fof(f4529,plain,
    ( c1_1(a507)
    | ~ spl0_60
    | spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f4520,f894]) ).

fof(f4530,plain,
    ( c1_1(a505)
    | ~ spl0_60
    | spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f4519,f905]) ).

fof(f4534,plain,
    ( $false
    | ~ spl0_60
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f4529,f884]) ).

fof(f4535,plain,
    ( ~ spl0_60
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f4534]) ).

fof(f4536,plain,
    ( spl0_179
    | ~ spl0_60
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f4530,f903,f898,f505,f2527]) ).

fof(f4562,plain,
    ( c0_1(a540)
    | ~ spl0_53
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f4480,f686]) ).

fof(f4584,plain,
    ( spl0_91
    | ~ spl0_53
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f4562,f2011,f684,f468,f674]) ).

fof(f4652,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | ~ c0_1(X75) )
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f423,f370]) ).

fof(f4656,plain,
    ( ~ c0_1(a510)
    | ~ spl0_31
    | ~ spl0_43
    | spl0_124 ),
    inference(resolution,[],[f4652,f852]) ).

fof(f4661,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_43
    | spl0_124
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f4656,f862]) ).

fof(f4662,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | spl0_124
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f4661]) ).

fof(f4723,plain,
    ( ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f506,f460]) ).

fof(f4728,plain,
    ( ~ c3_1(a505)
    | ~ spl0_51
    | ~ spl0_60
    | spl0_133 ),
    inference(resolution,[],[f4723,f900]) ).

fof(f4736,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_60
    | spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f4728,f905]) ).

fof(f4737,plain,
    ( ~ spl0_51
    | ~ spl0_60
    | spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f4736]) ).

fof(f4739,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(resolution,[],[f506,f370]) ).

fof(f4747,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f4739]) ).

fof(f4888,plain,
    ( spl0_47
    | ~ spl0_31
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f4747,f505,f369,f440]) ).

fof(f4921,plain,
    ( spl0_133
    | ~ spl0_50
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f3725,f908,f903,f452,f898]) ).

fof(f4926,plain,
    ( ~ spl0_179
    | spl0_133
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f4474,f908,f468,f898,f2527]) ).

fof(f4931,plain,
    ( ~ spl0_185
    | spl0_139
    | ~ spl0_28
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f4430,f940,f356,f930,f4218]) ).

fof(f4949,plain,
    ( spl0_171
    | ~ spl0_58
    | spl0_91
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f4148,f684,f674,f491,f2011]) ).

fof(f4950,plain,
    ( spl0_145
    | ~ spl0_58
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f4150,f972,f967,f491,f962]) ).

fof(f4976,plain,
    ( spl0_94
    | ~ spl0_180
    | ~ spl0_30
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f4288,f700,f365,f2820,f690]) ).

fof(f4983,plain,
    ( ~ c2_1(a528)
    | c3_1(a528)
    | ~ spl0_30
    | ~ spl0_114 ),
    inference(resolution,[],[f366,f798]) ).

fof(f5036,plain,
    ( ~ c2_1(a499)
    | c1_1(a499)
    | ~ spl0_46
    | ~ spl0_144 ),
    inference(resolution,[],[f437,f958]) ).

fof(f5054,plain,
    ( c1_1(a499)
    | ~ spl0_46
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f5036,f953]) ).

fof(f5060,plain,
    ( $false
    | ~ spl0_46
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f5054,f948]) ).

fof(f5061,plain,
    ( ~ spl0_46
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f5060]) ).

fof(f5063,definition,
    ( spl0_189
  <=> c3_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f5069,plain,
    ( spl0_189
    | ~ spl0_59
    | spl0_97
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1612,f716,f706,f498,f5063]) ).

fof(f5108,plain,
    ( ~ c3_1(a540)
    | c0_1(a540)
    | ~ spl0_50
    | ~ spl0_171 ),
    inference(resolution,[],[f2013,f453]) ).

fof(f5109,plain,
    ( c0_1(a540)
    | ~ spl0_50
    | ~ spl0_92
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f5108,f681]) ).

fof(f5110,plain,
    ( $false
    | ~ spl0_50
    | spl0_91
    | ~ spl0_92
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f5109,f676]) ).

fof(f5111,plain,
    ( ~ spl0_50
    | spl0_91
    | ~ spl0_92
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f5110]) ).

fof(f5113,plain,
    ( spl0_112
    | ~ spl0_161
    | ~ spl0_30
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f4983,f796,f365,f1347,f786]) ).

fof(f5149,plain,
    ( ~ c2_1(a497)
    | c1_1(a497)
    | ~ spl0_61
    | spl0_149 ),
    inference(resolution,[],[f514,f985]) ).

fof(f5150,plain,
    ( ~ c2_1(a502)
    | c1_1(a502)
    | ~ spl0_61
    | spl0_138 ),
    inference(resolution,[],[f514,f926]) ).

fof(f5166,plain,
    ( c1_1(a502)
    | ~ spl0_59
    | ~ spl0_61
    | spl0_136
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f5150,f1616]) ).

fof(f5167,plain,
    ( c1_1(a497)
    | ~ spl0_61
    | spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f5149,f990]) ).

fof(f5180,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_61
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f5166,f921]) ).

fof(f5181,plain,
    ( ~ spl0_59
    | ~ spl0_61
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f5180]) ).

fof(f5182,plain,
    ( $false
    | ~ spl0_61
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f5167,f980]) ).

fof(f5183,plain,
    ( ~ spl0_61
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f5182]) ).

fof(f5185,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7) )
    | ~ spl0_56
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[],[f521,f483]) ).

fof(f5189,plain,
    ( c3_1(a502)
    | ~ spl0_56
    | ~ spl0_62
    | spl0_138 ),
    inference(resolution,[],[f5185,f926]) ).

fof(f5197,plain,
    ( c3_1(a558)
    | ~ spl0_56
    | ~ spl0_62
    | spl0_83 ),
    inference(resolution,[],[f5185,f633]) ).

fof(f5199,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_62
    | spl0_82
    | spl0_83 ),
    inference(forward_subsumption_resolution,[],[f5197,f628]) ).

fof(f5200,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | spl0_82
    | spl0_83 ),
    inference(avatar_contradiction_clause,[],[f5199]) ).

fof(f5209,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_62
    | spl0_136
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f5189,f916]) ).

fof(f5210,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | spl0_136
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f5209]) ).

fof(f5217,plain,
    ( ~ spl0_189
    | ~ spl0_57
    | spl0_97
    | spl0_99 ),
    inference(avatar_split_clause,[],[f4092,f716,f706,f487,f5063]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s3,plain,
    ( spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s6,plain,
    ( spl0_7
    | spl0_11
    | spl0_14 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s7,plain,
    ( spl0_11
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s14,plain,
    ( spl0_1
    | ~ spl0_18
    | spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s15,plain,
    ( spl0_4
    | ~ spl0_18
    | spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s17,plain,
    ( spl0_7
    | spl0_16
    | ~ spl0_18
    | spl0_31 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s18,plain,
    ( ~ spl0_18
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s19,plain,
    ( spl0_3
    | ~ spl0_18
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s20,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s21,plain,
    ( spl0_1
    | ~ spl0_18
    | spl0_31
    | spl0_34 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s25,plain,
    ( ~ spl0_18
    | spl0_33
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s26,plain,
    ( spl0_3
    | ~ spl0_18
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s27,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s28,plain,
    ( spl0_17
    | ~ spl0_18
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s29,plain,
    ( ~ spl0_18
    | spl0_21
    | spl0_22
    | spl0_44 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s30,plain,
    ( spl0_13
    | ~ spl0_18
    | spl0_25
    | spl0_44 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s31,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s32,plain,
    ( spl0_12
    | ~ spl0_18
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s33,plain,
    ( ~ spl0_18
    | spl0_44
    | spl0_45
    | spl0_47 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_18
    | spl0_50 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s37,plain,
    ( spl0_16
    | ~ spl0_18
    | spl0_34
    | spl0_50 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s38,plain,
    ( spl0_9
    | ~ spl0_18
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s39,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_38
    | spl0_51 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s40,plain,
    ( spl0_7
    | ~ spl0_18
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s46,plain,
    ( spl0_2
    | ~ spl0_18
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s47,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s48,plain,
    ( spl0_2
    | spl0_15
    | ~ spl0_18
    | spl0_58 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s50,plain,
    ( ~ spl0_18
    | spl0_44
    | spl0_45
    | spl0_58 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s51,plain,
    ( ~ spl0_18
    | spl0_29
    | spl0_53
    | spl0_58 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s52,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_18
    | spl0_59 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s53,plain,
    ( spl0_10
    | ~ spl0_18
    | spl0_34
    | spl0_59 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s54,plain,
    ( ~ spl0_18
    | spl0_28
    | spl0_34
    | spl0_59 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s55,plain,
    ( ~ spl0_18
    | spl0_19
    | spl0_53
    | spl0_59 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s58,plain,
    ( spl0_14
    | ~ spl0_18
    | spl0_38
    | spl0_60 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s59,plain,
    ( ~ spl0_18
    | spl0_40
    | spl0_46
    | spl0_60 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s60,plain,
    ( ~ spl0_18
    | spl0_29
    | spl0_58
    | spl0_60 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s62,plain,
    ( ~ spl0_18
    | spl0_22
    | spl0_33
    | spl0_61 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s63,plain,
    ( spl0_3
    | ~ spl0_18
    | spl0_30
    | spl0_61 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s65,plain,
    ( spl0_1
    | ~ spl0_18
    | spl0_22
    | spl0_62 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s66,plain,
    ( ~ spl0_18
    | spl0_41
    | spl0_52
    | spl0_62 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s67,plain,
    ( ~ spl0_18
    | spl0_25
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s69,plain,
    ( ~ spl0_35
    | spl0_64 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s70,plain,
    ( ~ spl0_35
    | spl0_65 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s71,plain,
    ( ~ spl0_35
    | spl0_66 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s81,plain,
    ( ~ spl0_14
    | spl0_73 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s82,plain,
    ( ~ spl0_14
    | spl0_74 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s83,plain,
    ( ~ spl0_14
    | spl0_75 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s85,plain,
    ( ~ spl0_8
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s87,plain,
    ( ~ spl0_8
    | spl0_78 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s89,plain,
    ( ~ spl0_4
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s90,plain,
    ( ~ spl0_4
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s91,plain,
    ( ~ spl0_4
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s93,plain,
    ( ~ spl0_26
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s94,plain,
    ( ~ spl0_26
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s97,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s98,plain,
    ( ~ spl0_32
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s99,plain,
    ( ~ spl0_32
    | spl0_87 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s101,plain,
    ( ~ spl0_42
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s102,plain,
    ( ~ spl0_42
    | spl0_89 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s103,plain,
    ( ~ spl0_42
    | spl0_90 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s105,plain,
    ( ~ spl0_17
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s106,plain,
    ( ~ spl0_17
    | spl0_92 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s107,plain,
    ( ~ spl0_17
    | spl0_93 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s109,plain,
    ( ~ spl0_13
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s111,plain,
    ( ~ spl0_13
    | spl0_96 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s113,plain,
    ( ~ spl0_12
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s115,plain,
    ( ~ spl0_12
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s125,plain,
    ( ~ spl0_5
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s126,plain,
    ( ~ spl0_5
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s127,plain,
    ( ~ spl0_5
    | spl0_108 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s133,plain,
    ( ~ spl0_16
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s134,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s135,plain,
    ( ~ spl0_16
    | spl0_114 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s137,plain,
    ( ~ spl0_9
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s138,plain,
    ( ~ spl0_9
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s141,plain,
    ( ~ spl0_11
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s142,plain,
    ( ~ spl0_11
    | spl0_119 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s143,plain,
    ( ~ spl0_11
    | spl0_120 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s145,plain,
    ( ~ spl0_15
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s146,plain,
    ( ~ spl0_15
    | spl0_122 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s147,plain,
    ( ~ spl0_15
    | spl0_123 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s149,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s150,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s151,plain,
    ( ~ spl0_6
    | spl0_126 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s153,plain,
    ( ~ spl0_7
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s154,plain,
    ( ~ spl0_7
    | spl0_128 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s155,plain,
    ( ~ spl0_7
    | spl0_129 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s157,plain,
    ( ~ spl0_45
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s158,plain,
    ( ~ spl0_45
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s159,plain,
    ( ~ spl0_45
    | spl0_132 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s161,plain,
    ( ~ spl0_2
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s162,plain,
    ( ~ spl0_2
    | spl0_134 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s163,plain,
    ( ~ spl0_2
    | spl0_135 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s164,plain,
    ( ~ spl0_2
    | spl0_18 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s165,plain,
    ( ~ spl0_40
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s166,plain,
    ( ~ spl0_40
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s167,plain,
    ( ~ spl0_40
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s169,plain,
    ( ~ spl0_10
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s170,plain,
    ( ~ spl0_10
    | spl0_140 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s171,plain,
    ( ~ spl0_10
    | spl0_141 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s173,plain,
    ( ~ spl0_33
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s174,plain,
    ( ~ spl0_33
    | spl0_143 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s175,plain,
    ( ~ spl0_33
    | spl0_144 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s177,plain,
    ( ~ spl0_3
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s178,plain,
    ( ~ spl0_3
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s179,plain,
    ( ~ spl0_3
    | spl0_147 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s180,plain,
    ( ~ spl0_3
    | spl0_18 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s181,plain,
    ( ~ spl0_21
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s182,plain,
    ( ~ spl0_21
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s183,plain,
    ( ~ spl0_21
    | spl0_150 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s185,plain,
    ( ~ spl0_1
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s186,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s187,plain,
    ( ~ spl0_1
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s188,plain,
    ( ~ spl0_1
    | spl0_18 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s189,plain,
    ( ~ spl0_52
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s190,plain,
    ( ~ spl0_52
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s191,plain,
    ( ~ spl0_52
    | spl0_156 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s199,plain,
    ( ~ spl0_24
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s206,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s210,plain,
    ( ~ spl0_24
    | ~ spl0_31
    | ~ spl0_41
    | spl0_76
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s213,plain,
    ( ~ spl0_34
    | spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s241,plain,
    ( ~ spl0_28
    | spl0_112
    | ~ spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s291,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s298,plain,
    ( ~ spl0_22
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f1503]) ).

cnf(s313,plain,
    ( ~ spl0_44
    | spl0_49
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s321,plain,
    ( ~ spl0_59
    | spl0_79
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s345,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | spl0_49
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1729]) ).

cnf(s365,plain,
    ( ~ spl0_43
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s384,plain,
    ( ~ spl0_38
    | spl0_44
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s499,plain,
    ( ~ spl0_51
    | spl0_91
    | ~ spl0_92
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s510,plain,
    ( ~ spl0_41
    | spl0_118
    | ~ spl0_120
    | spl0_168 ),
    inference(sat_conversion,[],[f2328]) ).

cnf(s533,plain,
    ( ~ spl0_38
    | ~ spl0_128
    | ~ spl0_129
    | spl0_177 ),
    inference(sat_conversion,[],[f2369]) ).

cnf(s534,plain,
    ( ~ spl0_59
    | spl0_145
    | spl0_146
    | spl0_174 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s582,plain,
    ( ~ spl0_28
    | ~ spl0_41
    | spl0_118
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s664,plain,
    ( ~ spl0_29
    | spl0_145
    | ~ spl0_147
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2693]) ).

cnf(s691,plain,
    ( ~ spl0_56
    | spl0_154
    | spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2719]) ).

cnf(s783,plain,
    ( ~ spl0_29
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f2978]) ).

cnf(s837,plain,
    ( ~ spl0_34
    | ~ spl0_113
    | ~ spl0_114
    | spl0_161 ),
    inference(sat_conversion,[],[f3098]) ).

cnf(s840,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_120
    | spl0_168 ),
    inference(sat_conversion,[],[f3102]) ).

cnf(s886,plain,
    ( ~ spl0_29
    | ~ spl0_92
    | ~ spl0_93
    | spl0_171 ),
    inference(sat_conversion,[],[f3167]) ).

cnf(s888,plain,
    ( ~ spl0_29
    | spl0_127
    | ~ spl0_128
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3169]) ).

cnf(s894,plain,
    ( ~ spl0_38
    | ~ spl0_60
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f3175]) ).

cnf(s944,plain,
    ( ~ spl0_28
    | ~ spl0_65
    | ~ spl0_66
    | spl0_172 ),
    inference(sat_conversion,[],[f3303]) ).

cnf(s955,plain,
    ( ~ spl0_28
    | spl0_118
    | ~ spl0_120
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3341]) ).

cnf(s959,plain,
    ( ~ spl0_30
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f3354]) ).

cnf(s966,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | spl0_127
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3402]) ).

cnf(s989,plain,
    ( ~ spl0_34
    | ~ spl0_58
    | spl0_121
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f3441]) ).

cnf(s990,plain,
    ( ~ spl0_34
    | ~ spl0_58
    | spl0_127
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s992,plain,
    ( ~ spl0_34
    | ~ spl0_58
    | spl0_145
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f3445]) ).

cnf(s998,plain,
    ( ~ spl0_31
    | spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3454]) ).

cnf(s1044,plain,
    ( ~ spl0_19
    | ~ spl0_29
    | ~ spl0_134
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f3533]) ).

cnf(s1065,plain,
    ( ~ spl0_49
    | spl0_151
    | spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f3574]) ).

cnf(s1117,plain,
    ( ~ spl0_19
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3624]) ).

cnf(s1159,plain,
    ( ~ spl0_44
    | spl0_127
    | ~ spl0_129
    | spl0_177 ),
    inference(sat_conversion,[],[f3666]) ).

cnf(s1166,plain,
    ( ~ spl0_47
    | spl0_106
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f3707]) ).

cnf(s1216,plain,
    ( ~ spl0_44
    | spl0_124
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3757]) ).

cnf(s1318,plain,
    ( ~ spl0_19
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f4072]) ).

cnf(s1364,plain,
    ( ~ spl0_25
    | spl0_139
    | ~ spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f4222]) ).

cnf(s1382,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f4317]) ).

cnf(s1384,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_151
    | spl0_153 ),
    inference(sat_conversion,[],[f4321]) ).

cnf(s1388,plain,
    ( ~ spl0_41
    | ~ spl0_59
    | spl0_151
    | spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f4346]) ).

cnf(s1389,plain,
    ( ~ spl0_43
    | spl0_94
    | ~ spl0_96
    | spl0_180 ),
    inference(sat_conversion,[],[f4348]) ).

cnf(s1391,plain,
    ( ~ spl0_43
    | ~ spl0_59
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f4351]) ).

cnf(s1411,plain,
    ( ~ spl0_41
    | spl0_85
    | ~ spl0_87
    | spl0_167 ),
    inference(sat_conversion,[],[f4383]) ).

cnf(s1412,plain,
    ( ~ spl0_53
    | ~ spl0_140
    | ~ spl0_141
    | spl0_185 ),
    inference(sat_conversion,[],[f4384]) ).

cnf(s1416,plain,
    ( ~ spl0_25
    | spl0_112
    | ~ spl0_113
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f4395]) ).

cnf(s1440,plain,
    ( ~ spl0_34
    | spl0_86
    | ~ spl0_87
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f4404]) ).

cnf(s1444,plain,
    ( ~ spl0_25
    | spl0_118
    | ~ spl0_119
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f4408]) ).

cnf(s1485,plain,
    ( ~ spl0_60
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f4535]) ).

cnf(s1486,plain,
    ( ~ spl0_60
    | spl0_133
    | ~ spl0_134
    | spl0_179 ),
    inference(sat_conversion,[],[f4536]) ).

cnf(s1532,plain,
    ( ~ spl0_53
    | spl0_91
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f4584]) ).

cnf(s1562,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | spl0_124
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f4662]) ).

cnf(s1594,plain,
    ( ~ spl0_51
    | ~ spl0_60
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f4737]) ).

cnf(s1661,plain,
    ( ~ spl0_31
    | spl0_47
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f4888]) ).

cnf(s1693,plain,
    ( ~ spl0_50
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f4921]) ).

cnf(s1696,plain,
    ( ~ spl0_53
    | spl0_133
    | ~ spl0_135
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f4926]) ).

cnf(s1710,plain,
    ( ~ spl0_28
    | spl0_139
    | ~ spl0_141
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f4931]) ).

cnf(s1741,plain,
    ( ~ spl0_58
    | spl0_91
    | ~ spl0_93
    | spl0_171 ),
    inference(sat_conversion,[],[f4949]) ).

cnf(s1742,plain,
    ( ~ spl0_58
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f4950]) ).

cnf(s1776,plain,
    ( ~ spl0_30
    | spl0_94
    | ~ spl0_96
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f4976]) ).

cnf(s1799,plain,
    ( ~ spl0_46
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f5061]) ).

cnf(s1803,plain,
    ( ~ spl0_59
    | spl0_97
    | spl0_99
    | spl0_189 ),
    inference(sat_conversion,[],[f5069]) ).

cnf(s1809,plain,
    ( ~ spl0_50
    | spl0_91
    | ~ spl0_92
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f5111]) ).

cnf(s1811,plain,
    ( ~ spl0_30
    | spl0_112
    | ~ spl0_114
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f5113]) ).

cnf(s1822,plain,
    ( ~ spl0_59
    | ~ spl0_61
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f5181]) ).

cnf(s1823,plain,
    ( ~ spl0_61
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f5183]) ).

cnf(s1824,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f5200]) ).

cnf(s1830,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | spl0_136
    | spl0_138 ),
    inference(sat_conversion,[],[f5210]) ).

cnf(s1833,plain,
    ( ~ spl0_57
    | spl0_97
    | spl0_99
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f5217]) ).

cnf(s1846,plain,
    ( ~ spl0_45
    | ~ spl0_60 ),
    inference(rat,[],[s1485,s157,s158,s159]) ).

cnf(s1847,plain,
    ( ~ spl0_16
    | ~ spl0_22
    | ~ spl0_34 ),
    inference(rat,[],[s206,s134,s135]) ).

cnf(s1848,plain,
    ( ~ spl0_5
    | ~ spl0_26
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s966,s153,s155,s17,s1847,s65,s21,s1824,s1661,s46,s1166,s894,s125,s126,s127,s50,s1846,s60,s783,s145,s146,s147,s48,s180,s1742,s177,s178,s179,s1,s94,s93]) ).

cnf(s1849,plain,
    ( ~ spl0_6
    | ~ spl0_44 ),
    inference(rat,[],[s149,s1216,s150,s151]) ).

cnf(s1850,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1848,s2,s15,s1849,s50,s1846,s60,s783,s145,s146,s147,s48,s180,s1742,s177,s178,s179,s1]) ).

cnf(s1851,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s21,s966,s998,s153,s154,s155,s52,s321,s89,s90,s91,s1850,s1849,s50,s1846,s60,s783,s145,s146,s147,s48,s1742,s177,s178,s179,s180,s1]) ).

cnf(s1852,plain,
    ( ~ spl0_3
    | ~ spl0_58
    | ~ spl0_34 ),
    inference(rat,[],[s992,s177,s179]) ).

cnf(s1853,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(rat,[],[s241,s133,s134,s135]) ).

cnf(s1854,plain,
    ( ~ spl0_5
    | ~ spl0_60
    | spl0_1 ),
    inference(rat,[],[s966,s153,s155,s17,s1853,s21,s33,s1661,s39,s1166,s894,s125,s126,s127,s164,s1846,s1594,s161,s162,s1851]) ).

cnf(s1855,plain,
    ( ~ spl0_60
    | spl0_1 ),
    inference(rat,[],[s55,s534,s1044,s664,s51,s1742,s177,s178,s179,s35,s1854,s1696,s1486,s164,s1693,s161,s162,s163,s1851]) ).

cnf(s1856,plain,
    ( ~ spl0_42
    | ~ spl0_34 ),
    inference(rat,[],[s213,s101,s102,s103]) ).

cnf(s1857,plain,
    ( ~ spl0_16
    | ~ spl0_34
    | spl0_31
    | ~ spl0_18 ),
    inference(rat,[],[s1411,s1440,s97,s98,s99,s18,s1811,s27,s837,s1853,s133,s134,s135,s1856]) ).

cnf(s1858,plain,
    ( ~ spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s959,s141,s142,s143]) ).

cnf(s1859,plain,
    ( ~ spl0_15
    | ~ spl0_58
    | ~ spl0_34 ),
    inference(rat,[],[s989,s145,s147]) ).

cnf(s1860,plain,
    ( ~ spl0_58
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s1823,s181,s182,s183,s29,s291,s70,s71,s26,s63,s510,s955,s1858,s141,s143,s7,s1859,s14,s199,s81,s82,s83,s58,s533,s990,s1852,s1855,s154,s966,s153,s155,s17,s1857,s21,s164,s1851]) ).

cnf(s1861,plain,
    ( ~ spl0_15
    | ~ spl0_29 ),
    inference(rat,[],[s783,s145,s146,s147]) ).

cnf(s1862,plain,
    ( spl0_3
    | spl0_41
    | spl0_30
    | spl0_44
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(rat,[],[s1823,s181,s182,s183,s29,s291,s70,s71,s26,s63]) ).

cnf(s1863,plain,
    ( spl0_31
    | spl0_1 ),
    inference(rat,[],[s664,s534,s177,s178,s179,s55,s1117,s1862,s1532,s886,s105,s106,s107,s28,s365,s97,s98,s99,s18,s510,s955,s1858,s141,s143,s7,s1861,s14,s199,s81,s82,s83,s58,s533,s888,s60,s1860,s966,s153,s154,s155,s17,s1857,s21,s164,s1851,s1855]) ).

cnf(s1864,plain,
    ( ~ spl0_7
    | ~ spl0_44
    | ~ spl0_34 ),
    inference(rat,[],[s966,s153,s155]) ).

cnf(s1865,plain,
    ( ~ spl0_17
    | ~ spl0_51 ),
    inference(rat,[],[s499,s105,s106,s107]) ).

cnf(s1866,plain,
    ( ~ spl0_40
    | ~ spl0_59
    | ~ spl0_61 ),
    inference(rat,[],[s1822,s165,s166,s167]) ).

cnf(s1867,plain,
    ( spl0_41
    | spl0_30
    | spl0_3
    | ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s1799,s173,s174,s175,s25,s59,s1866,s52,s1864,s1849,s1862,s1855,s63,s164,s1851]) ).

cnf(s1868,plain,
    ( ~ spl0_14
    | ~ spl0_24 ),
    inference(rat,[],[s199,s81,s82,s83]) ).

cnf(s1873,plain,
    ( ~ spl0_44
    | spl0_59
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(rat,[],[s52,s1864,s1849]) ).

cnf(s1874,plain,
    ( spl0_59
    | spl0_25
    | ~ spl0_41
    | ~ spl0_34
    | ~ spl0_2 ),
    inference(rat,[],[s1382,s137,s138,s38,s1873,s67,s164,s1693,s161,s162,s163]) ).

cnf(s1876,plain,
    ( ~ spl0_8
    | ~ spl0_24
    | ~ spl0_41
    | ~ spl0_31 ),
    inference(rat,[],[s210,s85,s87]) ).

cnf(s1877,plain,
    ( ~ spl0_58
    | spl0_16
    | ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s321,s89,s90,s91,s3,s1876,s1864,s384,s345,s1874,s58,s1868,s1444,s14,s510,s582,s1867,s1858,s141,s142,s143,s7,s1859,s1852,s164,s1851,s1855,s1863]) ).

cnf(s1878,plain,
    ( spl0_7
    | spl0_44
    | spl0_59
    | spl0_41
    | spl0_1 ),
    inference(rat,[],[s28,s1562,s1865,s149,s151,s40,s52,s164,s1851,s1863]) ).

cnf(s1879,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(rat,[],[s998,s153,s154,s155]) ).

cnf(s1880,plain,
    ( ~ spl0_28
    | ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s1878,s1873,s534,s664,s177,s178,s179,s1867,s582,s1858,s141,s143,s7,s1861,s60,s1877,s1853,s164,s1851,s1855,s1879,s1863]) ).

cnf(s1881,plain,
    ( ~ spl0_34
    | spl0_1 ),
    inference(rat,[],[s1874,s1444,s321,s840,s89,s90,s91,s141,s142,s143,s3,s6,s58,s1876,s1868,s27,s14,s1880,s1856,s164,s1851,s1855,s1879,s1863]) ).

cnf(s1882,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s1799,s59,s173,s174,s175,s1866,s19,s63,s1855,s54,s1858,s6,s1868,s14,s1853,s37,s1881,s1693,s161,s162,s163,s164,s1851,s1879,s1863]) ).

cnf(s1883,plain,
    spl0_1,
    inference(rat,[],[s664,s60,s534,s1742,s177,s178,s179,s1882,s54,s1853,s37,s1881,s1855,s1693,s161,s162,s163,s164,s1851]) ).

cnf(s1884,plain,
    spl0_18,
    inference(rat,[],[s188,s1883]) ).

cnf(s1885,plain,
    ~ spl0_153,
    inference(rat,[],[s187,s1883]) ).

cnf(s1886,plain,
    ~ spl0_152,
    inference(rat,[],[s186,s1883]) ).

cnf(s1887,plain,
    ~ spl0_151,
    inference(rat,[],[s185,s1883]) ).

cnf(s1888,plain,
    ~ spl0_49,
    inference(rat,[],[s1065,s1885,s1886,s1887]) ).

cnf(s1889,plain,
    ( spl0_44
    | spl0_3
    | spl0_41
    | spl0_16
    | ~ spl0_34 ),
    inference(rat,[],[s1846,s60,s50,s1861,s1859,s7,s1858,s1862,s1884]) ).

cnf(s1890,plain,
    ( ~ spl0_44
    | ~ spl0_34 ),
    inference(rat,[],[s313,s1873,s1884,s1888]) ).

cnf(s1891,plain,
    ( spl0_7
    | spl0_59
    | spl0_41
    | spl0_16
    | spl0_44 ),
    inference(rat,[],[s1562,s28,s149,s151,s1865,s52,s40,s17,s1884]) ).

cnf(s1892,plain,
    ( spl0_41
    | spl0_16
    | spl0_44
    | ~ spl0_34 ),
    inference(rat,[],[s55,s1532,s1117,s886,s105,s106,s107,s28,s365,s97,s98,s99,s18,s1879,s1891,s1858,s534,s7,s664,s1861,s60,s1846,s50,s1852,s177,s178,s179,s1889,s1884]) ).

cnf(s1893,plain,
    ( ~ spl0_11
    | ~ spl0_41
    | ~ spl0_28 ),
    inference(rat,[],[s582,s141,s143]) ).

cnf(s1894,plain,
    ( ~ spl0_15
    | ~ spl0_34 ),
    inference(rat,[],[s1846,s60,s50,s1861,s1859,s1890,s1884]) ).

cnf(s1895,plain,
    ( ~ spl0_28
    | ~ spl0_34 ),
    inference(rat,[],[s1893,s7,s1892,s1853,s1890,s1894]) ).

cnf(s1896,plain,
    ( ~ spl0_11
    | ~ spl0_41 ),
    inference(rat,[],[s1444,s510,s141,s142,s143,s67,s1384,s1388,s1885,s1886,s1887,s1884]) ).

cnf(s1897,plain,
    ~ spl0_34,
    inference(rat,[],[s1416,s837,s133,s134,s135,s7,s1896,s67,s1388,s1384,s27,s1895,s1894,s1856,s1884,s1887,s1886,s1885]) ).

cnf(s1900,plain,
    ( ~ spl0_35
    | ~ spl0_19
    | ~ spl0_28 ),
    inference(rat,[],[s1318,s944,s69,s70,s71]) ).

cnf(s1901,plain,
    ( ~ spl0_44
    | spl0_41
    | ~ spl0_28 ),
    inference(rat,[],[s1742,s177,s178,s179,s26,s1900,s55,s51,s1412,s888,s1710,s1159,s169,s170,s171,s153,s154,s155,s53,s52,s313,s1849,s1884,s1897,s1888]) ).

cnf(s1902,plain,
    ( ~ spl0_17
    | spl0_44
    | ~ spl0_50 ),
    inference(rat,[],[s1846,s60,s50,s1741,s886,s1809,s105,s106,s107,s1884]) ).

cnf(s1903,plain,
    ( ~ spl0_32
    | ~ spl0_43 ),
    inference(rat,[],[s365,s97,s98,s99]) ).

cnf(s1904,plain,
    ( spl0_41
    | ~ spl0_28 ),
    inference(rat,[],[s1776,s18,s1389,s1903,s109,s111,s30,s1364,s1879,s169,s170,s171,s1891,s53,s1391,s28,s1902,s1901,s37,s1853,s1884,s1897,s1887,s1886]) ).

cnf(s1905,plain,
    ( spl0_62
    | spl0_59 ),
    inference(rat,[],[s1364,s169,s170,s171,s53,s67,s1897,s1884]) ).

cnf(s1906,plain,
    ~ spl0_41,
    inference(rat,[],[s1905,s1388,s1384,s1887,s1886,s1885]) ).

cnf(s1907,plain,
    ~ spl0_28,
    inference(rat,[],[s1904,s1906]) ).

cnf(s1908,plain,
    spl0_59,
    inference(rat,[],[s54,s1897,s1884,s1907]) ).

cnf(s1910,plain,
    ~ spl0_43,
    inference(rat,[],[s1391,s1886,s1887,s1908]) ).

cnf(s1911,plain,
    ~ spl0_44,
    inference(rat,[],[s313,s1888,s1908]) ).

cnf(s1915,plain,
    spl0_17,
    inference(rat,[],[s28,s1906,s1884,s1910]) ).

cnf(s1916,plain,
    spl0_45,
    inference(rat,[],[s31,s1907,s1884,s1911]) ).

cnf(s1917,plain,
    spl0_93,
    inference(rat,[],[s107,s1915]) ).

cnf(s1918,plain,
    spl0_92,
    inference(rat,[],[s106,s1915]) ).

cnf(s1919,plain,
    ~ spl0_91,
    inference(rat,[],[s105,s1915]) ).

cnf(s1920,plain,
    ~ spl0_51,
    inference(rat,[],[s1865,s1915]) ).

cnf(s1925,plain,
    ~ spl0_60,
    inference(rat,[],[s1846,s1916]) ).

cnf(s1926,plain,
    spl0_7,
    inference(rat,[],[s40,s1911,s1884,s1920]) ).

cnf(s1927,plain,
    spl0_38,
    inference(rat,[],[s39,s1907,s1884,s1920]) ).

cnf(s1930,plain,
    spl0_129,
    inference(rat,[],[s155,s1926]) ).

cnf(s1931,plain,
    spl0_128,
    inference(rat,[],[s154,s1926]) ).

cnf(s1932,plain,
    ~ spl0_127,
    inference(rat,[],[s153,s1926]) ).

cnf(s1934,plain,
    spl0_177,
    inference(rat,[],[s533,s1931,s1930,s1927]) ).

cnf(s1941,plain,
    ~ spl0_29,
    inference(rat,[],[s888,s1931,s1932,s1934]) ).

cnf(s1942,plain,
    spl0_58,
    inference(rat,[],[s60,s1925,s1884,s1941]) ).

cnf(s1943,plain,
    spl0_171,
    inference(rat,[],[s1741,s1919,s1917,s1942]) ).

cnf(s1944,plain,
    ~ spl0_19,
    inference(rat,[],[s1117,s1918,s1917,s1943]) ).

cnf(s1946,plain,
    spl0_35,
    inference(rat,[],[s20,s1884,s1897,s1944]) ).

cnf(s1947,plain,
    spl0_66,
    inference(rat,[],[s71,s1946]) ).

cnf(s1948,plain,
    spl0_65,
    inference(rat,[],[s70,s1946]) ).

cnf(s1949,plain,
    spl0_64,
    inference(rat,[],[s69,s1946]) ).

cnf(s1950,plain,
    ~ spl0_22,
    inference(rat,[],[s298,s1947,s1948,s1949]) ).

cnf(s1951,plain,
    spl0_21,
    inference(rat,[],[s29,s1884,s1911,s1950]) ).

cnf(s1952,plain,
    spl0_150,
    inference(rat,[],[s183,s1951]) ).

cnf(s1953,plain,
    ~ spl0_149,
    inference(rat,[],[s182,s1951]) ).

cnf(s1954,plain,
    ~ spl0_148,
    inference(rat,[],[s181,s1951]) ).

cnf(s1955,plain,
    ~ spl0_61,
    inference(rat,[],[s1823,s1952,s1954,s1953]) ).

cnf(s1956,plain,
    spl0_33,
    inference(rat,[],[s62,s1950,s1884,s1955]) ).

cnf(s1957,plain,
    spl0_144,
    inference(rat,[],[s175,s1956]) ).

cnf(s1958,plain,
    spl0_143,
    inference(rat,[],[s174,s1956]) ).

cnf(s1959,plain,
    ~ spl0_142,
    inference(rat,[],[s173,s1956]) ).

cnf(s1960,plain,
    ~ spl0_46,
    inference(rat,[],[s1799,s1957,s1958,s1959]) ).

cnf(s1961,plain,
    spl0_40,
    inference(rat,[],[s59,s1884,s1925,s1960]) ).

cnf(s1962,plain,
    spl0_12,
    inference(rat,[],[s32,s1911,s1884,s1960]) ).

cnf(s1963,plain,
    ~ spl0_138,
    inference(rat,[],[s167,s1961]) ).

cnf(s1965,plain,
    ~ spl0_136,
    inference(rat,[],[s165,s1961]) ).

cnf(s1966,plain,
    ~ spl0_99,
    inference(rat,[],[s115,s1962]) ).

cnf(s1968,plain,
    ~ spl0_97,
    inference(rat,[],[s113,s1962]) ).

cnf(s1970,plain,
    spl0_189,
    inference(rat,[],[s1803,s1908,s1968,s1966]) ).

cnf(s1972,plain,
    ~ spl0_57,
    inference(rat,[],[s1833,s1968,s1966,s1970]) ).

cnf(s1977,plain,
    spl0_56,
    inference(rat,[],[s47,s1907,s1884,s1972]) ).

cnf(s1979,plain,
    ~ spl0_62,
    inference(rat,[],[s1830,s1963,s1965,s1977]) ).

cnf(s1980,plain,
    spl0_52,
    inference(rat,[],[s66,s1906,s1884,s1979]) ).

cnf(s1981,plain,
    spl0_156,
    inference(rat,[],[s191,s1980]) ).

cnf(s1982,plain,
    ~ spl0_155,
    inference(rat,[],[s190,s1980]) ).

cnf(s1983,plain,
    ~ spl0_154,
    inference(rat,[],[s189,s1980]) ).

cnf(s1984,plain,
    $false,
    inference(rat,[],[s691,s1977,s1982,s1981,s1983]) ).

fof(f5225,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1984]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n002.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 16:12:07 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running first-order theorem proving
% 0.06/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/0.73  % (481023)Detected formulas, will run a generic FOF schedule.
% 2.13/0.73  % (481033)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2833876229:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.13/0.73  % (481031)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2787557867:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.13/0.73  % (481032)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=471358773:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.13/0.73  % (481028)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1185496916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.13/0.73  % (481029)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3597139364:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.13/0.73  % (481030)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2589058626:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.13/0.73  % (481034)dis-21_1_sil=8000:lcm=predicate:random_seed=3526747494:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.13/0.73  % (481033)First to succeed.
% 2.13/0.73  % (481033)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-481023"
% 2.13/0.73  % (481034)Also succeeded, but the first one will report.
% 2.13/0.73  % (481032)Instruction limit reached! 
% 2.13/0.73  % (481032)------------------------------
% 2.13/0.73  % (481032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.73  % (481032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.73  % (481032)CaDiCaL version: 2.1.3
% 2.13/0.73  % (481032)Termination reason: Instruction limit
% 2.13/0.73  % (481032)Termination phase: Saturation
% 2.13/0.73  % (481032)Time elapsed: 0.060 s
% 2.13/0.73  % (481032)Peak memory usage: 88 MB
% 2.13/0.73  % (481032)Instructions burned: 121 (million)
% 2.13/0.73  % (481031)Instruction limit reached! 
% 2.13/0.73  % (481031)------------------------------
% 2.13/0.73  % (481031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.73  % (481031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.73  % (481031)CaDiCaL version: 2.1.3
% 2.13/0.73  % (481031)Termination reason: Instruction limit
% 2.13/0.73  % (481031)Termination phase: Saturation
% 2.13/0.73  % (481031)Time elapsed: 0.072 s
% 2.13/0.73  % (481031)Peak memory usage: 91 MB
% 2.13/0.73  % (481031)Instructions burned: 109 (million)
% 2.13/0.73  % (481033)Refutation found. Thanks to Tanya!
% 2.13/0.73  % SZS status Theorem for theBenchmark
% 2.13/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.92  % (481033)------------------------------
% 2.69/0.92  % (481033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/0.92  % (481033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.92  % (481033)CaDiCaL version: 2.1.3
% 2.69/0.92  % (481033)Termination reason: Refutation
% 2.69/0.92  % (481033)Time elapsed: 0.047 s
% 2.69/0.92  % (481033)Peak memory usage: 92 MB
% 2.69/0.92  % (481033)Instructions burned: 135 (million)
% 2.69/0.92  % (481033)------------------------------
% 2.69/0.92  % (481033)------------------------------
% 2.69/0.92  % (481023)Success in time 0.321 s
% 2.69/0.92  % Vampire exiting
%------------------------------------------------------------------------------