TSTP Solution File: SYN505+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:32:08 EDT 2023

% Result   : Theorem 12.26s 1.99s
% Output   : CNFRefutation 12.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  399 (   2 unt;   0 def)
%            Number of atoms       : 3970 (   0 equ)
%            Maximal formula atoms :  845 (   9 avg)
%            Number of connectives : 5315 (1744   ~;2679   |; 621   &)
%                                         (  37 <=>; 234  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  327 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   75 (  74 usr;  71 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  549 (   0 sgn; 388   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a462)
          & c2_1(a462)
          & ~ c1_1(a462) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a463)
          & ~ c1_1(a463)
          & ~ c3_1(a463) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a464)
          & ~ c0_1(a464)
          & ~ c2_1(a464) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c3_1(a465)
          & ~ c0_1(a465)
          & ~ c1_1(a465) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a466)
          & ~ c1_1(a466)
          & ~ c3_1(a466) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a467)
          & ~ c1_1(a467)
          & ~ c3_1(a467) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a470)
          & ~ c1_1(a470)
          & ~ c2_1(a470) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a471)
          & c3_1(a471)
          & ~ c2_1(a471) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a472)
          & c3_1(a472)
          & ~ c2_1(a472) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a477)
          & c3_1(a477)
          & ~ c1_1(a477) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a478)
          & ~ c0_1(a478)
          & ~ c3_1(a478) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a479)
          & c3_1(a479)
          & ~ c1_1(a479) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a481)
          & ~ c0_1(a481)
          & ~ c3_1(a481) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a482)
          & ~ c1_1(a482)
          & ~ c2_1(a482) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a483)
          & c2_1(a483)
          & ~ c0_1(a483) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a484)
          & c2_1(a484)
          & ~ c3_1(a484) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a487)
          & ~ c1_1(a487)
          & ~ c2_1(a487) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a493)
          & c3_1(a493)
          & ~ c0_1(a493) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a494)
          & ~ c2_1(a494)
          & ~ c3_1(a494) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a500)
          & ~ c2_1(a500)
          & ~ c3_1(a500) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a506)
          & c2_1(a506)
          & ~ c3_1(a506) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a507)
          & ~ c0_1(a507)
          & ~ c1_1(a507) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a519)
          & ~ c0_1(a519)
          & ~ c2_1(a519) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a521)
          & ~ c2_1(a521)
          & ~ c3_1(a521) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a525)
          & c1_1(a525)
          & ~ c2_1(a525) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a545)
          & c3_1(a545)
          & ~ c0_1(a545) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a559)
          & c1_1(a559)
          & ~ c3_1(a559) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c1_1(a576)
          & ~ c2_1(a576)
          & ~ c3_1(a576) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a469)
          & c2_1(a469)
          & c3_1(a469) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a474)
          & c1_1(a474)
          & c2_1(a474) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a488)
          & c2_1(a488)
          & c3_1(a488) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a529)
          & c1_1(a529)
          & c3_1(a529) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp1
        | hskp2 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | hskp3
        | hskp4 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | ~ c1_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c3_1(X7)
              | ~ c1_1(X7) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c2_1(X9)
              | ~ c1_1(X9) ) )
        | hskp5 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | ~ c1_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | ~ c0_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) ) )
      & ( ! [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)
              | c3_1(X18)
              | ~ c0_1(X18) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c3_1(X20)
              | ~ c1_1(X20) ) )
        | hskp5 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp28 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c3_1(X25)
              | ~ c1_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) )
        | hskp6 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp7
        | hskp8 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | hskp6 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | hskp29
        | hskp0 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | c2_1(X33)
              | ~ c0_1(X33) ) )
        | hskp29 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c0_1(X35) ) )
        | hskp9 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp10 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp11 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp5
        | hskp12 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_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)
              | ~ c2_1(X45) ) )
        | hskp13 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c3_1(X47) ) )
        | hskp14 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp15
        | hskp1 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | hskp7
        | hskp16 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp30
        | hskp1 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c0_1(X54) ) )
        | hskp5 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp7
        | hskp17 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp18
        | hskp6 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp16 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp2 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c1_1(X70) ) )
        | hskp14 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | hskp18
        | hskp19 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | hskp17
        | hskp9 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | hskp2 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp18
        | hskp1 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp20
        | hskp21 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | hskp30
        | hskp21 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp12 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c0_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) )
        | hskp18 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c3_1(X85) ) )
        | hskp17
        | hskp21 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | ~ c1_1(X87) ) )
        | hskp0 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp6 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | hskp11
        | hskp9 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | hskp20
        | hskp22 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp9
        | hskp23 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c1_1(X96)
              | ~ c2_1(X96) ) )
        | hskp29 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp5
        | hskp17 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp24
        | hskp8 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | hskp30
        | hskp12 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c2_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c1_1(X104)
              | ~ c3_1(X104) ) )
        | hskp31 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c2_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) )
        | hskp7 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | hskp18
        | hskp17 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | hskp31 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp18
        | hskp4 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp14
        | hskp10 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp8
        | hskp13 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c2_1(X113) ) )
        | hskp6
        | hskp4 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp24
        | hskp10 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp14
        | hskp25 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp25
        | hskp3 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c2_1(X117)
              | ~ c3_1(X117) ) )
        | hskp8
        | hskp17 )
      & ( hskp29
        | hskp15
        | hskp9 )
      & ( hskp29
        | hskp12
        | hskp3 )
      & ( hskp31
        | hskp19
        | hskp10 )
      & ( hskp26
        | hskp16
        | hskp13 )
      & ( hskp26
        | hskp2
        | hskp23 )
      & ( hskp0
        | hskp30
        | hskp10 )
      & ( hskp0
        | hskp14
        | hskp25 )
      & ( hskp11
        | hskp12
        | hskp9 )
      & ( hskp7
        | hskp8
        | hskp27 )
      & ( hskp5
        | hskp3
        | hskp23 )
      & ( hskp22
        | hskp1
        | hskp13 ) ),
    file('/export/starexec/sandbox/tmp/tmp.tDiZguiTDh/E---3.1_18863.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a462)
            & c2_1(a462)
            & ~ c1_1(a462) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a463)
            & ~ c1_1(a463)
            & ~ c3_1(a463) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a464)
            & ~ c0_1(a464)
            & ~ c2_1(a464) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c3_1(a465)
            & ~ c0_1(a465)
            & ~ c1_1(a465) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a466)
            & ~ c1_1(a466)
            & ~ c3_1(a466) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a467)
            & ~ c1_1(a467)
            & ~ c3_1(a467) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a470)
            & ~ c1_1(a470)
            & ~ c2_1(a470) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a471)
            & c3_1(a471)
            & ~ c2_1(a471) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a472)
            & c3_1(a472)
            & ~ c2_1(a472) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a477)
            & c3_1(a477)
            & ~ c1_1(a477) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a478)
            & ~ c0_1(a478)
            & ~ c3_1(a478) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a479)
            & c3_1(a479)
            & ~ c1_1(a479) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a481)
            & ~ c0_1(a481)
            & ~ c3_1(a481) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a482)
            & ~ c1_1(a482)
            & ~ c2_1(a482) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a483)
            & c2_1(a483)
            & ~ c0_1(a483) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a484)
            & c2_1(a484)
            & ~ c3_1(a484) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a487)
            & ~ c1_1(a487)
            & ~ c2_1(a487) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a493)
            & c3_1(a493)
            & ~ c0_1(a493) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a494)
            & ~ c2_1(a494)
            & ~ c3_1(a494) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a500)
            & ~ c2_1(a500)
            & ~ c3_1(a500) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a506)
            & c2_1(a506)
            & ~ c3_1(a506) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a507)
            & ~ c0_1(a507)
            & ~ c1_1(a507) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a519)
            & ~ c0_1(a519)
            & ~ c2_1(a519) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a521)
            & ~ c2_1(a521)
            & ~ c3_1(a521) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a525)
            & c1_1(a525)
            & ~ c2_1(a525) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a545)
            & c3_1(a545)
            & ~ c0_1(a545) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a559)
            & c1_1(a559)
            & ~ c3_1(a559) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c1_1(a576)
            & ~ c2_1(a576)
            & ~ c3_1(a576) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a469)
            & c2_1(a469)
            & c3_1(a469) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a474)
            & c1_1(a474)
            & c2_1(a474) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a488)
            & c2_1(a488)
            & c3_1(a488) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a529)
            & c1_1(a529)
            & c3_1(a529) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp1
          | hskp2 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | hskp3
          | hskp4 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c3_1(X7)
                | ~ c1_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c2_1(X9)
                | ~ c1_1(X9) ) )
          | hskp5 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c1_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | ~ c0_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) ) )
        & ( ! [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)
                | c3_1(X18)
                | ~ c0_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | ~ c1_1(X20) ) )
          | hskp5 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp28 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c3_1(X25)
                | ~ c1_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) )
          | hskp6 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp7
          | hskp8 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | hskp6 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp29
          | hskp0 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | c2_1(X33)
                | ~ c0_1(X33) ) )
          | hskp29 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c0_1(X35) ) )
          | hskp9 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp10 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp11 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp5
          | hskp12 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_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)
                | ~ c2_1(X45) ) )
          | hskp13 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c3_1(X47) ) )
          | hskp14 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp15
          | hskp1 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp7
          | hskp16 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp30
          | hskp1 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c0_1(X54) ) )
          | hskp5 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp7
          | hskp17 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp18
          | hskp6 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp16 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp2 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c1_1(X70) ) )
          | hskp14 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp18
          | hskp19 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | hskp17
          | hskp9 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | hskp2 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp18
          | hskp1 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp20
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp30
          | hskp21 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp12 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c3_1(X85) ) )
          | hskp17
          | hskp21 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c1_1(X87) ) )
          | hskp0 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp6 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp11
          | hskp9 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | hskp20
          | hskp22 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp9
          | hskp23 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c1_1(X96)
                | ~ c2_1(X96) ) )
          | hskp29 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp5
          | hskp17 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp24
          | hskp8 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp30
          | hskp12 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | hskp31 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp7 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp18
          | hskp17 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | hskp31 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp18
          | hskp4 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp14
          | hskp10 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp8
          | hskp13 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) )
          | hskp6
          | hskp4 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp24
          | hskp10 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp14
          | hskp25 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp25
          | hskp3 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c2_1(X117)
                | ~ c3_1(X117) ) )
          | hskp8
          | hskp17 )
        & ( hskp29
          | hskp15
          | hskp9 )
        & ( hskp29
          | hskp12
          | hskp3 )
        & ( hskp31
          | hskp19
          | hskp10 )
        & ( hskp26
          | hskp16
          | hskp13 )
        & ( hskp26
          | hskp2
          | hskp23 )
        & ( hskp0
          | hskp30
          | hskp10 )
        & ( hskp0
          | hskp14
          | hskp25 )
        & ( hskp11
          | hskp12
          | hskp9 )
        & ( hskp7
          | hskp8
          | hskp27 )
        & ( hskp5
          | hskp3
          | hskp23 )
        & ( hskp22
          | hskp1
          | hskp13 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c0_1(a462)
        | ~ hskp0 )
      & ( c2_1(a462)
        | ~ hskp0 )
      & ( ~ c1_1(a462)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c2_1(a463)
        | ~ hskp1 )
      & ( ~ c1_1(a463)
        | ~ hskp1 )
      & ( ~ c3_1(a463)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c3_1(a464)
        | ~ hskp2 )
      & ( ~ c0_1(a464)
        | ~ hskp2 )
      & ( ~ c2_1(a464)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c3_1(a465)
        | ~ hskp3 )
      & ( ~ c0_1(a465)
        | ~ hskp3 )
      & ( ~ c1_1(a465)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( ~ c0_1(a466)
        | ~ hskp4 )
      & ( ~ c1_1(a466)
        | ~ hskp4 )
      & ( ~ c3_1(a466)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c0_1(a467)
        | ~ hskp5 )
      & ( ~ c1_1(a467)
        | ~ hskp5 )
      & ( ~ c3_1(a467)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( ~ c0_1(a470)
        | ~ hskp6 )
      & ( ~ c1_1(a470)
        | ~ hskp6 )
      & ( ~ c2_1(a470)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a471)
        | ~ hskp7 )
      & ( c3_1(a471)
        | ~ hskp7 )
      & ( ~ c2_1(a471)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c1_1(a472)
        | ~ hskp8 )
      & ( c3_1(a472)
        | ~ hskp8 )
      & ( ~ c2_1(a472)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c2_1(a477)
        | ~ hskp9 )
      & ( c3_1(a477)
        | ~ hskp9 )
      & ( ~ c1_1(a477)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c2_1(a478)
        | ~ hskp10 )
      & ( ~ c0_1(a478)
        | ~ hskp10 )
      & ( ~ c3_1(a478)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c0_1(a479)
        | ~ hskp11 )
      & ( c3_1(a479)
        | ~ hskp11 )
      & ( ~ c1_1(a479)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c1_1(a481)
        | ~ hskp12 )
      & ( ~ c0_1(a481)
        | ~ hskp12 )
      & ( ~ c3_1(a481)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c3_1(a482)
        | ~ hskp13 )
      & ( ~ c1_1(a482)
        | ~ hskp13 )
      & ( ~ c2_1(a482)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c1_1(a483)
        | ~ hskp14 )
      & ( c2_1(a483)
        | ~ hskp14 )
      & ( ~ c0_1(a483)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c0_1(a484)
        | ~ hskp15 )
      & ( c2_1(a484)
        | ~ hskp15 )
      & ( ~ c3_1(a484)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c0_1(a487)
        | ~ hskp16 )
      & ( ~ c1_1(a487)
        | ~ hskp16 )
      & ( ~ c2_1(a487)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c2_1(a493)
        | ~ hskp17 )
      & ( c3_1(a493)
        | ~ hskp17 )
      & ( ~ c0_1(a493)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c0_1(a494)
        | ~ hskp18 )
      & ( ~ c2_1(a494)
        | ~ hskp18 )
      & ( ~ c3_1(a494)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a500)
        | ~ hskp19 )
      & ( ~ c2_1(a500)
        | ~ hskp19 )
      & ( ~ c3_1(a500)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a506)
        | ~ hskp20 )
      & ( c2_1(a506)
        | ~ hskp20 )
      & ( ~ c3_1(a506)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c2_1(a507)
        | ~ hskp21 )
      & ( ~ c0_1(a507)
        | ~ hskp21 )
      & ( ~ c1_1(a507)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c1_1(a519)
        | ~ hskp22 )
      & ( ~ c0_1(a519)
        | ~ hskp22 )
      & ( ~ c2_1(a519)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( ~ c0_1(a521)
        | ~ hskp23 )
      & ( ~ c2_1(a521)
        | ~ hskp23 )
      & ( ~ c3_1(a521)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c0_1(a525)
        | ~ hskp24 )
      & ( c1_1(a525)
        | ~ hskp24 )
      & ( ~ c2_1(a525)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c1_1(a545)
        | ~ hskp25 )
      & ( c3_1(a545)
        | ~ hskp25 )
      & ( ~ c0_1(a545)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a559)
        | ~ hskp26 )
      & ( c1_1(a559)
        | ~ hskp26 )
      & ( ~ c3_1(a559)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( ~ c1_1(a576)
        | ~ hskp27 )
      & ( ~ c2_1(a576)
        | ~ hskp27 )
      & ( ~ c3_1(a576)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a469)
        | ~ hskp28 )
      & ( c2_1(a469)
        | ~ hskp28 )
      & ( c3_1(a469)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a474)
        | ~ hskp29 )
      & ( c1_1(a474)
        | ~ hskp29 )
      & ( c2_1(a474)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c1_1(a488)
        | ~ hskp30 )
      & ( c2_1(a488)
        | ~ hskp30 )
      & ( c3_1(a488)
        | ~ hskp30 )
      & ( ndr1_0
        | ~ hskp31 )
      & ( c0_1(a529)
        | ~ hskp31 )
      & ( c1_1(a529)
        | ~ hskp31 )
      & ( c3_1(a529)
        | ~ hskp31 )
      & ( ~ ndr1_0
        | c0_1(X118)
        | c1_1(X118)
        | c2_1(X118)
        | ~ ndr1_0
        | c3_1(X119)
        | ~ c0_1(X119)
        | ~ c2_1(X119)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X121)
        | c1_1(X121)
        | c2_1(X121)
        | hskp3
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X122)
        | c1_1(X122)
        | c3_1(X122)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c1_1(X123)
        | ~ ndr1_0
        | c2_1(X124)
        | c3_1(X124)
        | ~ c1_1(X124) )
      & ( ~ ndr1_0
        | c0_1(X125)
        | c1_1(X125)
        | c3_1(X125)
        | ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c1_1(X126)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c3_1(X127)
        | ~ ndr1_0
        | c0_1(X128)
        | ~ c1_1(X128)
        | ~ c3_1(X128)
        | ~ ndr1_0
        | c1_1(X129)
        | ~ c0_1(X129)
        | ~ c3_1(X129) )
      & ( ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0
        | c1_1(X131)
        | ~ c2_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c2_1(X132)
        | c3_1(X132)
        | ~ c0_1(X132) )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c3_1(X133)
        | ~ ndr1_0
        | c0_1(X134)
        | c2_1(X134)
        | ~ c1_1(X134)
        | ~ ndr1_0
        | c2_1(X135)
        | c3_1(X135)
        | ~ c0_1(X135) )
      & ( ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | ~ ndr1_0
        | c2_1(X137)
        | c3_1(X137)
        | ~ c1_1(X137)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c1_1(X138)
        | ~ c3_1(X138)
        | ~ ndr1_0
        | ~ c1_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X140)
        | c2_1(X140)
        | c3_1(X140)
        | ~ ndr1_0
        | c0_1(X141)
        | c2_1(X141)
        | ~ c1_1(X141)
        | ~ ndr1_0
        | c0_1(X142)
        | c3_1(X142)
        | ~ c1_1(X142) )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c2_1(X143)
        | c3_1(X143)
        | ~ ndr1_0
        | ~ c0_1(X144)
        | ~ c1_1(X144)
        | ~ c3_1(X144)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | c3_1(X145)
        | hskp7
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X146)
        | c2_1(X146)
        | ~ c1_1(X146)
        | ~ ndr1_0
        | c2_1(X147)
        | c3_1(X147)
        | ~ c1_1(X147)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | ~ c1_1(X148)
        | hskp29
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c3_1(X149)
        | ~ ndr1_0
        | c1_1(X150)
        | c2_1(X150)
        | ~ c0_1(X150)
        | hskp29 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c2_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c1_1(X152)
        | c2_1(X152)
        | ~ c0_1(X152)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X153)
        | c2_1(X153)
        | ~ c3_1(X153)
        | ~ ndr1_0
        | c2_1(X154)
        | ~ c1_1(X154)
        | ~ c3_1(X154)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155)
        | ~ ndr1_0
        | ~ c1_1(X156)
        | ~ c2_1(X156)
        | ~ c3_1(X156)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X157)
        | c2_1(X157)
        | ~ c3_1(X157)
        | hskp5
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X158)
        | c3_1(X158)
        | ~ c1_1(X158)
        | ~ ndr1_0
        | c1_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c2_1(X160)
        | ~ c0_1(X160)
        | ~ c1_1(X160) )
      & ( ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c1_1(X161)
        | ~ ndr1_0
        | c1_1(X162)
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X163)
        | c3_1(X163)
        | ~ c2_1(X163)
        | ~ ndr1_0
        | c0_1(X164)
        | ~ c1_1(X164)
        | ~ c3_1(X164)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | c3_1(X165)
        | ~ c2_1(X165)
        | hskp15
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X166)
        | c3_1(X166)
        | ~ c2_1(X166)
        | hskp7
        | hskp16 )
      & ( ~ ndr1_0
        | c0_1(X167)
        | ~ c1_1(X167)
        | ~ c2_1(X167)
        | ~ ndr1_0
        | c1_1(X168)
        | c2_1(X168)
        | ~ c0_1(X168) )
      & ( ~ ndr1_0
        | c0_1(X169)
        | ~ c1_1(X169)
        | ~ c2_1(X169)
        | hskp30
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | ~ c1_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c1_1(X171)
        | c2_1(X171)
        | ~ c0_1(X171)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | ~ c1_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | hskp16 )
      & ( ~ ndr1_0
        | c0_1(X174)
        | ~ c2_1(X174)
        | ~ c3_1(X174)
        | ~ ndr1_0
        | c1_1(X175)
        | c2_1(X175)
        | c3_1(X175)
        | ~ ndr1_0
        | c3_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176) )
      & ( ~ ndr1_0
        | c0_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | ~ c0_1(X178)
        | ~ c1_1(X178)
        | ~ c2_1(X178)
        | ~ ndr1_0
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ c3_1(X179) )
      & ( ~ ndr1_0
        | c0_1(X180)
        | ~ c2_1(X180)
        | ~ c3_1(X180)
        | hskp7
        | hskp17 )
      & ( ~ ndr1_0
        | c0_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | hskp18
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X182)
        | c2_1(X182)
        | c3_1(X182)
        | ~ ndr1_0
        | c1_1(X183)
        | c3_1(X183)
        | ~ c0_1(X183)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | c3_1(X184)
        | ~ ndr1_0
        | c1_1(X185)
        | ~ c2_1(X185)
        | ~ c3_1(X185)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X186)
        | c2_1(X186)
        | c3_1(X186)
        | ~ ndr1_0
        | c2_1(X187)
        | c3_1(X187)
        | ~ c1_1(X187)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X188)
        | c2_1(X188)
        | ~ c0_1(X188)
        | hskp18
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | ~ c0_1(X189)
        | hskp17
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X190)
        | c2_1(X190)
        | ~ c3_1(X190)
        | ~ ndr1_0
        | c1_1(X191)
        | ~ c0_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c2_1(X192)
        | c3_1(X192)
        | ~ c1_1(X192) )
      & ( ~ ndr1_0
        | c1_1(X193)
        | c3_1(X193)
        | ~ c0_1(X193)
        | ~ ndr1_0
        | ~ c0_1(X194)
        | ~ c1_1(X194)
        | ~ c3_1(X194)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | c3_1(X195)
        | ~ c0_1(X195)
        | hskp18
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c3_1(X196)
        | ~ c0_1(X196)
        | hskp20
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c3_1(X197)
        | ~ c2_1(X197)
        | hskp30
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X198)
        | ~ c0_1(X198)
        | ~ c2_1(X198)
        | ~ ndr1_0
        | c2_1(X199)
        | ~ c0_1(X199)
        | ~ c3_1(X199)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X200)
        | ~ c0_1(X200)
        | ~ c3_1(X200)
        | ~ ndr1_0
        | ~ c0_1(X201)
        | ~ c1_1(X201)
        | ~ c2_1(X201)
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X202)
        | ~ c0_1(X202)
        | ~ c3_1(X202)
        | hskp17
        | hskp21 )
      & ( ~ ndr1_0
        | c2_1(X203)
        | c3_1(X203)
        | ~ c0_1(X203)
        | ~ ndr1_0
        | c2_1(X204)
        | c3_1(X204)
        | ~ c1_1(X204)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X205)
        | c3_1(X205)
        | ~ c0_1(X205)
        | ~ ndr1_0
        | ~ c0_1(X206)
        | ~ c1_1(X206)
        | ~ c2_1(X206) )
      & ( ~ ndr1_0
        | c2_1(X207)
        | c3_1(X207)
        | ~ c0_1(X207)
        | ~ ndr1_0
        | ~ c0_1(X208)
        | ~ c2_1(X208)
        | ~ c3_1(X208)
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X209)
        | c3_1(X209)
        | ~ c1_1(X209)
        | hskp11
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X210)
        | c3_1(X210)
        | ~ c1_1(X210)
        | hskp20
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X211)
        | c3_1(X211)
        | ~ c1_1(X211)
        | hskp9
        | hskp23 )
      & ( ~ ndr1_0
        | c2_1(X212)
        | ~ c0_1(X212)
        | ~ c1_1(X212)
        | ~ ndr1_0
        | c3_1(X213)
        | ~ c1_1(X213)
        | ~ c2_1(X213)
        | hskp29 )
      & ( ~ ndr1_0
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ c3_1(X214)
        | hskp5
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X215)
        | ~ c0_1(X215)
        | ~ c1_1(X215)
        | ~ ndr1_0
        | ~ c0_1(X216)
        | ~ c2_1(X216)
        | ~ c3_1(X216)
        | ~ ndr1_0
        | ~ c1_1(X217)
        | ~ c2_1(X217)
        | ~ c3_1(X217) )
      & ( ~ ndr1_0
        | c3_1(X218)
        | ~ c0_1(X218)
        | ~ c1_1(X218)
        | hskp24
        | hskp8 )
      & ( ~ ndr1_0
        | c3_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp30
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X220)
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ ndr1_0
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp31 )
      & ( ~ ndr1_0
        | c3_1(X222)
        | ~ c0_1(X222)
        | ~ c2_1(X222)
        | ~ ndr1_0
        | ~ c1_1(X223)
        | ~ c2_1(X223)
        | ~ c3_1(X223)
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X224)
        | ~ c1_1(X224)
        | ~ c2_1(X224)
        | hskp18
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X225)
        | ~ c1_1(X225)
        | ~ c2_1(X225)
        | ~ ndr1_0
        | ~ c0_1(X226)
        | ~ c1_1(X226)
        | ~ c3_1(X226)
        | hskp31 )
      & ( ~ ndr1_0
        | ~ c0_1(X227)
        | ~ c1_1(X227)
        | ~ c2_1(X227)
        | hskp18
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | hskp14
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | hskp8
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | ~ c2_1(X230)
        | hskp6
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X231)
        | ~ c2_1(X231)
        | ~ c3_1(X231)
        | hskp24
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c2_1(X232)
        | ~ c3_1(X232)
        | hskp14
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X233)
        | ~ c2_1(X233)
        | ~ c3_1(X233)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c1_1(X234)
        | ~ c2_1(X234)
        | ~ c3_1(X234)
        | hskp8
        | hskp17 )
      & ( hskp29
        | hskp15
        | hskp9 )
      & ( hskp29
        | hskp12
        | hskp3 )
      & ( hskp31
        | hskp19
        | hskp10 )
      & ( hskp26
        | hskp16
        | hskp13 )
      & ( hskp26
        | hskp2
        | hskp23 )
      & ( hskp0
        | hskp30
        | hskp10 )
      & ( hskp0
        | hskp14
        | hskp25 )
      & ( hskp11
        | hskp12
        | hskp9 )
      & ( hskp7
        | hskp8
        | hskp27 )
      & ( hskp5
        | hskp3
        | hskp23 )
      & ( hskp22
        | hskp1
        | hskp13 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | hskp2
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_8,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]) ).

fof(c_0_9,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_10,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c3_1(a576)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( epred14_0
    | hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ c2_1(a576)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ c1_1(a576)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_15,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_16,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | hskp5
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | hskp16
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_20,negated_conjecture,
    ( epred37_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_9]) ).

cnf(c_0_21,negated_conjecture,
    ( c3_1(a472)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ c2_1(a472)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_24,negated_conjecture,
    ( c3_1(a464)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    ( epred14_0
    | hskp2
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    ( hskp7
    | hskp8
    | hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_29,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_31,negated_conjecture,
    ( epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

cnf(c_0_32,negated_conjecture,
    ( epred5_0
    | hskp5
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_8])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ c3_1(a467)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_34,negated_conjecture,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_36,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_37,negated_conjecture,
    ( epred9_0
    | hskp16
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_8])]) ).

cnf(c_0_38,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_8])]) ).

cnf(c_0_39,negated_conjecture,
    ( c3_1(a482)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_41,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | hskp13
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_42,negated_conjecture,
    ( epred15_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

cnf(c_0_43,negated_conjecture,
    ( c3_1(a479)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_45,negated_conjecture,
    ( c0_1(a479)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_46,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp2
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_47,negated_conjecture,
    ( epred37_0
    | ~ hskp8
    | ~ c0_1(a472) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_48,negated_conjecture,
    ( epred20_0
    | c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_22]) ).

cnf(c_0_49,negated_conjecture,
    ( epred20_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_50,negated_conjecture,
    ( epred14_0
    | hskp8
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_51,negated_conjecture,
    ( c3_1(a471)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_52,negated_conjecture,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_54,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_55,negated_conjecture,
    ( c1_1(a472)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_56,negated_conjecture,
    ( epred23_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

cnf(c_0_57,negated_conjecture,
    ( epred10_0
    | ~ hskp27
    | ~ c0_1(a576) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_31]),c_0_14]) ).

cnf(c_0_58,negated_conjecture,
    ( epred5_0
    | hskp5
    | c0_1(a576)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_32]),c_0_14]) ).

cnf(c_0_59,negated_conjecture,
    ( epred10_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_34]),c_0_35]) ).

fof(c_0_60,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_61,negated_conjecture,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_62,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_36]),c_0_8])]) ).

cnf(c_0_63,negated_conjecture,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_65,negated_conjecture,
    ( epred9_0
    | hskp16
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_37]),c_0_13]),c_0_14]) ).

fof(c_0_66,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_67,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_68,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | hskp11
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_69,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | hskp10
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_70,negated_conjecture,
    ( epred37_0
    | epred3_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_38]) ).

fof(c_0_71,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_72,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | hskp5
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_73,negated_conjecture,
    ( epred37_0
    | ~ hskp13
    | ~ c0_1(a482) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_40]) ).

cnf(c_0_74,negated_conjecture,
    ( epred20_0
    | c0_1(a482)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_39]),c_0_40]) ).

cnf(c_0_75,negated_conjecture,
    ( epred28_0
    | hskp13
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_41]),c_0_8])]) ).

cnf(c_0_76,negated_conjecture,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_79,negated_conjecture,
    ( epred15_0
    | ~ hskp11
    | ~ c2_1(a479) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_80,negated_conjecture,
    ( epred37_0
    | c2_1(a479)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_43]),c_0_45]) ).

cnf(c_0_81,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_82,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_84,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_46]) ).

cnf(c_0_85,negated_conjecture,
    ( epred37_0
    | epred20_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_86,negated_conjecture,
    ( epred20_0
    | epred14_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_87,negated_conjecture,
    ( epred37_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_51]),c_0_52]),c_0_53]) ).

fof(c_0_88,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_89,negated_conjecture,
    ( epred40_0
    | ~ hskp8
    | ~ c0_1(a472) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_22]) ).

cnf(c_0_90,negated_conjecture,
    ( epred23_0
    | c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_21]),c_0_55]) ).

cnf(c_0_91,negated_conjecture,
    ( epred10_0
    | epred5_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_92,negated_conjecture,
    ( epred27_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_60]) ).

cnf(c_0_93,negated_conjecture,
    ( epred1_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).

cnf(c_0_94,negated_conjecture,
    ( epred9_0
    | hskp16
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_65,c_0_28]) ).

cnf(c_0_95,negated_conjecture,
    ( epred51_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_66]),c_0_8])]) ).

cnf(c_0_96,negated_conjecture,
    ( epred49_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_67]) ).

cnf(c_0_97,negated_conjecture,
    ( epred34_0
    | hskp11
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_68]),c_0_8])]) ).

fof(c_0_98,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | hskp2
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_99,negated_conjecture,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_100,negated_conjecture,
    ( epred26_0
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_69]),c_0_8])]) ).

cnf(c_0_101,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_102,negated_conjecture,
    ( epred37_0
    | epred3_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_63]) ).

fof(c_0_103,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | hskp29
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_104,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_105,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_106,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_107,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( c0_1(X1)
        | hskp16
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_108,negated_conjecture,
    ( epred4_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_71]) ).

cnf(c_0_109,negated_conjecture,
    ( c1_1(a559)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_110,negated_conjecture,
    ( c0_1(a559)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_111,negated_conjecture,
    ( epred16_0
    | hskp5
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_72]),c_0_8])]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_113,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | hskp14
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_115,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp29
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_116,negated_conjecture,
    ( epred37_0
    | epred20_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_117,negated_conjecture,
    ( epred28_0
    | hskp13
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).

cnf(c_0_118,negated_conjecture,
    ( epred37_0
    | epred15_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_119,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_120,negated_conjecture,
    ( epred15_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_81]),c_0_82]),c_0_83]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_84,c_0_7]),c_0_19]) ).

cnf(c_0_122,negated_conjecture,
    ( epred37_0
    | epred20_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_123,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_88]) ).

cnf(c_0_124,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_125,negated_conjecture,
    ( epred40_0
    | epred1_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_62]) ).

fof(c_0_126,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | hskp5
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_127,negated_conjecture,
    ( epred40_0
    | epred23_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_128,negated_conjecture,
    ( epred10_0
    | epred5_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_91,c_0_28]) ).

cnf(c_0_129,negated_conjecture,
    ( epred27_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_21]),c_0_55]),c_0_22]) ).

cnf(c_0_130,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_131,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_132,negated_conjecture,
    ( c3_1(a545)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_133,negated_conjecture,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_135,negated_conjecture,
    ( epred51_0
    | epred23_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_95]) ).

cnf(c_0_136,negated_conjecture,
    ( epred49_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_43]),c_0_45]),c_0_44]) ).

cnf(c_0_137,negated_conjecture,
    ( epred34_0
    | hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_138,negated_conjecture,
    ( epred31_0
    | hskp2
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_98]),c_0_8])]) ).

cnf(c_0_139,negated_conjecture,
    ( epred1_0
    | ~ hskp13
    | ~ c0_1(a482) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_62]),c_0_40]) ).

cnf(c_0_140,negated_conjecture,
    ( epred26_0
    | hskp10
    | c0_1(a482)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_39]),c_0_40]) ).

cnf(c_0_141,negated_conjecture,
    ( epred26_0
    | hskp10
    | c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_21]),c_0_22]) ).

fof(c_0_142,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_143,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_101]) ).

cnf(c_0_144,negated_conjecture,
    ( epred37_0
    | epred23_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_47,c_0_90]) ).

cnf(c_0_145,negated_conjecture,
    ( epred37_0
    | epred9_0
    | epred3_0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_94]),c_0_87]) ).

cnf(c_0_146,negated_conjecture,
    ( epred21_0
    | hskp29
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_103]),c_0_8])]) ).

cnf(c_0_147,negated_conjecture,
    ( c1_1(a525)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_149,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp12
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_150,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp1
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_152,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_104]) ).

cnf(c_0_153,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_154,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp17
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_155,negated_conjecture,
    ( epred27_0
    | epred3_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_38]) ).

cnf(c_0_156,negated_conjecture,
    ( epred25_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_105]) ).

cnf(c_0_157,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp16
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_158,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_106]) ).

cnf(c_0_159,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | hskp2
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_160,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp8
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_161,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp5
    | hskp12
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_162,negated_conjecture,
    ( epred42_0
    | hskp16
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_107]),c_0_8])]) ).

cnf(c_0_163,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp30
    | hskp21
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_164,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp17
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_165,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_166,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_167,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_168,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_169,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_171,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_172,negated_conjecture,
    ( epred4_0
    | ~ hskp26
    | ~ c2_1(a559) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_173,negated_conjecture,
    ( epred16_0
    | hskp5
    | c2_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_109]),c_0_112]) ).

cnf(c_0_174,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_113]) ).

cnf(c_0_175,negated_conjecture,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_176,negated_conjecture,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_178,negated_conjecture,
    ( epred30_0
    | hskp14
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_114]),c_0_8])]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_180,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_115]) ).

cnf(c_0_181,negated_conjecture,
    ( epred37_0
    | epred28_0
    | epred20_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_182,negated_conjecture,
    ( epred37_0
    | epred15_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_183,negated_conjecture,
    ( epred37_0
    | epred20_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_184,negated_conjecture,
    ( epred17_0
    | c0_1(a482)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_39]),c_0_99]) ).

cnf(c_0_185,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_124]) ).

cnf(c_0_186,negated_conjecture,
    ( epred40_0
    | epred1_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_125]),c_0_52]) ).

cnf(c_0_187,negated_conjecture,
    ( epred22_0
    | hskp5
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_8])]) ).

cnf(c_0_188,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred10_0
    | epred5_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_189,negated_conjecture,
    ( epred27_0
    | epred9_0
    | epred1_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

fof(c_0_190,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_191,negated_conjecture,
    ( epred35_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_131]) ).

cnf(c_0_192,negated_conjecture,
    ( c3_1(a493)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_193,negated_conjecture,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_195,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_196,negated_conjecture,
    ( epred3_0
    | c2_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_38]),c_0_110]) ).

cnf(c_0_197,negated_conjecture,
    ( epred23_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_132]),c_0_133]),c_0_134]) ).

cnf(c_0_198,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_199,negated_conjecture,
    ( epred51_0
    | epred23_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_133]),c_0_134]) ).

cnf(c_0_200,negated_conjecture,
    ( c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_201,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_202,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_203,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_204,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_205,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp12
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_206,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp11
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_207,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp2
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_208,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp14
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_209,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_210,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp10
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_211,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_212,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_213,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp16
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_214,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp5
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_215,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_216,negated_conjecture,
    ( epred49_0
    | epred34_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_217,negated_conjecture,
    ( epred31_0
    | hskp2
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_34]),c_0_35]),c_0_33]) ).

cnf(c_0_218,negated_conjecture,
    ( epred26_0
    | epred1_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_219,negated_conjecture,
    ( epred37_0
    | epred26_0
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_47,c_0_141]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ epred50_0
    | ~ epred15_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_143,c_0_18]),c_0_142]),c_0_19]) ).

cnf(c_0_221,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred9_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_222,negated_conjecture,
    ( epred21_0
    | hskp29
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_63]),c_0_64]),c_0_61]) ).

cnf(c_0_223,negated_conjecture,
    ( epred16_0
    | hskp5
    | c3_1(a525)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_147]),c_0_148]) ).

cnf(c_0_224,negated_conjecture,
    ( epred36_0
    | hskp12
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_8])]) ).

cnf(c_0_225,negated_conjecture,
    ( epred9_0
    | hskp16
    | c2_1(a467)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_35]) ).

cnf(c_0_226,negated_conjecture,
    ( hskp30
    | hskp1
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_8])]) ).

cnf(c_0_227,negated_conjecture,
    ( epred52_0
    | c1_1(a478)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_228,negated_conjecture,
    ( hskp18
    | hskp17
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_8])]) ).

cnf(c_0_229,negated_conjecture,
    ( epred27_0
    | epred3_0
    | epred1_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_62]) ).

cnf(c_0_230,negated_conjecture,
    ( epred25_0
    | ~ hskp7
    | ~ c1_1(a471) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_51]),c_0_52]) ).

cnf(c_0_231,negated_conjecture,
    ( epred3_0
    | c2_1(a467)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_34]) ).

cnf(c_0_232,negated_conjecture,
    ( hskp16
    | hskp7
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_8])]) ).

cnf(c_0_233,negated_conjecture,
    ( epred6_0
    | c2_1(a481)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_76]),c_0_77]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ c1_1(a466)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_235,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_8])]) ).

cnf(c_0_236,negated_conjecture,
    ( hskp8
    | hskp7
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_8])]) ).

cnf(c_0_237,negated_conjecture,
    ( hskp12
    | hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_8])]) ).

cnf(c_0_238,negated_conjecture,
    ( epred51_0
    | epred42_0
    | hskp16
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_95]) ).

cnf(c_0_239,negated_conjecture,
    ( hskp30
    | hskp21
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_8])]) ).

cnf(c_0_240,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_241,negated_conjecture,
    ( hskp17
    | hskp5
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_8])]) ).

cnf(c_0_242,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_8])]) ).

cnf(c_0_243,negated_conjecture,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_244,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_8])]) ).

cnf(c_0_245,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_8])]) ).

cnf(c_0_246,negated_conjecture,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_247,negated_conjecture,
    ( hskp25
    | hskp14
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_8])]) ).

cnf(c_0_248,negated_conjecture,
    ( epred58_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_8])]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_250,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_8])]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ c3_1(a466)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_252,negated_conjecture,
    ( epred46_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_8])]) ).

cnf(c_0_253,negated_conjecture,
    ( epred16_0
    | epred4_0
    | hskp5
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_254,negated_conjecture,
    ( hskp26
    | hskp16
    | hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_255,negated_conjecture,
    ( epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_177]) ).

cnf(c_0_256,negated_conjecture,
    ( epred30_0
    | hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_153]),c_0_179]),c_0_151]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_180,c_0_103]),c_0_10]) ).

cnf(c_0_258,negated_conjecture,
    ( epred37_0
    | epred28_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).

cnf(c_0_259,negated_conjecture,
    ( epred17_0
    | epred1_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_139,c_0_184]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_185,c_0_36]),c_0_113]) ).

cnf(c_0_261,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred9_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_130]),c_0_186]) ).

cnf(c_0_262,negated_conjecture,
    ( epred22_0
    | hskp5
    | c1_1(a471)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_52]),c_0_53]) ).

cnf(c_0_263,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred10_0
    | epred5_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_188]) ).

cnf(c_0_264,negated_conjecture,
    ( epred40_0
    | epred27_0
    | epred9_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_189]) ).

cnf(c_0_265,negated_conjecture,
    ( epred37_0
    | epred27_0
    | epred9_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_189]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_267,negated_conjecture,
    ( epred52_0
    | ~ hskp5
    | ~ c2_1(a467) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_152]),c_0_35]) ).

cnf(c_0_268,negated_conjecture,
    ( epred1_0
    | c2_1(a467)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_62]),c_0_34]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_270,negated_conjecture,
    ( epred50_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_271,negated_conjecture,
    ( c2_1(a507)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_273,negated_conjecture,
    ( epred47_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_190]) ).

cnf(c_0_274,negated_conjecture,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_275,negated_conjecture,
    ( epred35_0
    | ~ hskp17
    | ~ c1_1(a493) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).

cnf(c_0_276,negated_conjecture,
    ( epred17_0
    | c1_1(a493)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_192]),c_0_194]) ).

cnf(c_0_277,negated_conjecture,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_279,negated_conjecture,
    ( epred29_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_195]) ).

cnf(c_0_280,negated_conjecture,
    ( c0_1(a462)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_281,negated_conjecture,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_283,negated_conjecture,
    ( c0_1(a494)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_285,negated_conjecture,
    ( epred4_0
    | epred3_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_172,c_0_196]) ).

cnf(c_0_286,negated_conjecture,
    ( epred23_0
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_287,negated_conjecture,
    ( epred2_0
    | ~ hskp12
    | ~ c2_1(a481) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_76]),c_0_77]) ).

cnf(c_0_288,negated_conjecture,
    ( c1_1(a474)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_289,negated_conjecture,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_290,negated_conjecture,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_291,negated_conjecture,
    ( epred51_0
    | epred23_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_175]),c_0_177]) ).

cnf(c_0_292,negated_conjecture,
    ( epred51_0
    | epred23_0
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_198]) ).

cnf(c_0_293,negated_conjecture,
    ( c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_200]) ).

cnf(c_0_294,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_201]) ).

cnf(c_0_295,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X1)
    | c1_1(X3)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_202]) ).

cnf(c_0_296,negated_conjecture,
    ( c0_1(X3)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_203]) ).

cnf(c_0_297,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_298,negated_conjecture,
    ( hskp12
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_205]) ).

cnf(c_0_299,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_206]) ).

cnf(c_0_300,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_207]) ).

cnf(c_0_301,negated_conjecture,
    ( hskp14
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_208]) ).

cnf(c_0_302,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_209]) ).

cnf(c_0_303,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_210]) ).

cnf(c_0_304,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_211]) ).

cnf(c_0_305,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_212]) ).

cnf(c_0_306,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_213]) ).

cnf(c_0_307,negated_conjecture,
    ( hskp5
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_214]) ).

cnf(c_0_308,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_215]) ).

cnf(c_0_309,negated_conjecture,
    ( epred49_0
    | epred34_0
    | epred31_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_310,negated_conjecture,
    ( epred26_0
    | epred1_0
    | hskp10
    | epred28_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_218,c_0_117]) ).

cnf(c_0_311,negated_conjecture,
    ( epred37_0
    | epred26_0
    | hskp10
    | epred9_0
    | epred1_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_219,c_0_130]) ).

cnf(c_0_312,negated_conjecture,
    ( epred37_0
    | epred23_0
    | epred9_0
    | ~ epred50_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_313,negated_conjecture,
    ( epred21_0
    | hskp29
    | epred9_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_222,c_0_94]) ).

cnf(c_0_314,negated_conjecture,
    ( epred27_0
    | c2_1(a525)
    | epred16_0
    | hskp5
    | ~ c1_1(a525)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_92,c_0_223]) ).

cnf(c_0_315,negated_conjecture,
    ( epred36_0
    | hskp12
    | c1_1(a467)
    | epred9_0
    | hskp16
    | ~ c0_1(a467)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_316,negated_conjecture,
    ( hskp30
    | hskp1
    | c0_1(a478)
    | epred52_0
    | ~ c2_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_317,negated_conjecture,
    ( hskp18
    | hskp17
    | c3_1(a478)
    | epred52_0
    | ~ c2_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_228,c_0_227]) ).

cnf(c_0_318,negated_conjecture,
    ( epred27_0
    | epred3_0
    | epred1_0
    | ~ hskp24
    | ~ c0_1(a525) ),
    inference(spm,[status(thm)],[c_0_148,c_0_229]) ).

cnf(c_0_319,negated_conjecture,
    ( epred25_0
    | epred1_0
    | c2_1(a471)
    | ~ hskp7
    | ~ c0_1(a471) ),
    inference(spm,[status(thm)],[c_0_230,c_0_62]) ).

cnf(c_0_320,negated_conjecture,
    ( epred36_0
    | hskp12
    | c1_1(a467)
    | epred3_0
    | ~ c0_1(a467)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_224,c_0_231]) ).

cnf(c_0_321,negated_conjecture,
    ( hskp16
    | hskp7
    | c3_1(a481)
    | c0_1(a481)
    | epred6_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_322,negated_conjecture,
    ( hskp2
    | hskp1
    | c2_1(a466)
    | c0_1(a466)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_323,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(a576)
    | c0_1(a576)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_11,c_0_236]) ).

cnf(c_0_324,negated_conjecture,
    ( hskp12
    | hskp5
    | c2_1(a482)
    | c0_1(a482)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_237,c_0_39]) ).

cnf(c_0_325,negated_conjecture,
    ( hskp12
    | hskp5
    | c2_1(a545)
    | c0_1(a545)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_237,c_0_132]) ).

cnf(c_0_326,negated_conjecture,
    ( hskp16
    | hskp7
    | c3_1(a478)
    | c0_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_232,c_0_153]) ).

cnf(c_0_327,negated_conjecture,
    ( epred51_0
    | epred42_0
    | hskp16
    | c0_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_238,c_0_175]) ).

cnf(c_0_328,negated_conjecture,
    ( hskp30
    | hskp21
    | c3_1(a463)
    | c1_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_329,negated_conjecture,
    ( hskp30
    | hskp1
    | c0_1(a483)
    | ~ c2_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_226,c_0_175]) ).

cnf(c_0_330,negated_conjecture,
    ( hskp17
    | hskp5
    | c2_1(a471)
    | ~ c0_1(a471)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_241,c_0_51]) ).

cnf(c_0_331,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_332,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_244,c_0_243]) ).

cnf(c_0_333,negated_conjecture,
    ( hskp24
    | hskp10
    | epred52_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_152]) ).

cnf(c_0_334,negated_conjecture,
    ( hskp24
    | hskp10
    | epred10_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_31]) ).

cnf(c_0_335,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_336,negated_conjecture,
    ( hskp25
    | hskp14
    | epred52_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_152]) ).

cnf(c_0_337,negated_conjecture,
    ( hskp25
    | hskp14
    | epred10_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_31]) ).

cnf(c_0_338,negated_conjecture,
    ( hskp25
    | hskp14
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_247,c_0_246]) ).

cnf(c_0_339,negated_conjecture,
    ( epred58_0
    | c0_1(a477)
    | ~ c2_1(a477)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_248,c_0_81]) ).

cnf(c_0_340,negated_conjecture,
    ( epred58_0
    | c0_1(a493)
    | ~ c2_1(a493)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_248,c_0_192]) ).

cnf(c_0_341,negated_conjecture,
    ( epred51_0
    | c0_1(a481)
    | ~ hskp12
    | ~ c1_1(a481) ),
    inference(spm,[status(thm)],[c_0_78,c_0_95]) ).

cnf(c_0_342,negated_conjecture,
    ( epred48_0
    | c1_1(a463)
    | c0_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_343,negated_conjecture,
    ( epred48_0
    | c1_1(a466)
    | c0_1(a466)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_251,c_0_250]) ).

cnf(c_0_344,negated_conjecture,
    ( epred46_0
    | c2_1(a481)
    | c0_1(a481)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_78,c_0_252]) ).

cnf(c_0_345,negated_conjecture,
    ( epred42_0
    | hskp16
    | c0_1(a488)
    | ~ c1_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_162,c_0_246]) ).

cnf(c_0_346,negated_conjecture,
    ( epred36_0
    | hskp12
    | c1_1(a463)
    | ~ c0_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_224,c_0_240]) ).

cnf(c_0_347,negated_conjecture,
    ( epred16_0
    | epred4_0
    | hskp16
    | hskp13
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_348,negated_conjecture,
    ( epred30_0
    | epred2_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_349,negated_conjecture,
    ( epred37_0
    | epred28_0
    | ~ epred21_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_350,negated_conjecture,
    ( epred28_0
    | epred17_0
    | epred1_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_259,c_0_117]) ).

cnf(c_0_351,negated_conjecture,
    ( epred26_0
    | hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_352,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred9_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_353,negated_conjecture,
    ( epred25_0
    | epred22_0
    | hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_230,c_0_262]) ).

cnf(c_0_354,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred10_0
    | epred5_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_263]) ).

cnf(c_0_355,negated_conjecture,
    ( epred40_0
    | epred27_0
    | epred9_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_264]) ).

cnf(c_0_356,negated_conjecture,
    ( epred37_0
    | epred27_0
    | epred9_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_265]) ).

cnf(c_0_357,negated_conjecture,
    ( epred52_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_152]),c_0_240]),c_0_266]) ).

cnf(c_0_358,negated_conjecture,
    ( epred52_0
    | ~ hskp4
    | ~ c2_1(a466) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_152]),c_0_234]) ).

cnf(c_0_359,negated_conjecture,
    ( epred52_0
    | epred1_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_360,negated_conjecture,
    ( epred50_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]),c_0_272]) ).

cnf(c_0_361,negated_conjecture,
    ( epred49_0
    | ~ hskp9
    | ~ c0_1(a477) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_81]),c_0_83]) ).

cnf(c_0_362,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_136,c_0_119]) ).

cnf(c_0_363,negated_conjecture,
    ( epred49_0
    | ~ hskp13
    | ~ c0_1(a482) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_39]),c_0_99]) ).

cnf(c_0_364,negated_conjecture,
    ( epred47_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_273]),c_0_76]),c_0_77]) ).

cnf(c_0_365,negated_conjecture,
    ( epred40_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_147]),c_0_274]),c_0_148]) ).

cnf(c_0_366,negated_conjecture,
    ( epred35_0
    | epred17_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_367,negated_conjecture,
    ( epred35_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_246]),c_0_277]),c_0_243]) ).

cnf(c_0_368,negated_conjecture,
    ( epred29_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_281]) ).

cnf(c_0_369,negated_conjecture,
    ( epred25_0
    | ~ hskp30
    | ~ c0_1(a488) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_246]),c_0_243]) ).

cnf(c_0_370,negated_conjecture,
    ( epred3_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_38]),c_0_283]),c_0_284]) ).

cnf(c_0_371,negated_conjecture,
    ( epred4_0
    | epred3_0
    | hskp16
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_254]) ).

cnf(c_0_372,negated_conjecture,
    ( epred23_0
    | epred2_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_286]) ).

cnf(c_0_373,negated_conjecture,
    ( epred10_0
    | ~ hskp1
    | ~ c0_1(a463) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_31]),c_0_266]) ).

cnf(c_0_374,negated_conjecture,
    ( epred6_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_287,c_0_233]) ).

cnf(c_0_375,negated_conjecture,
    ( epred4_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_288]),c_0_289]),c_0_290]) ).

cnf(c_0_376,negated_conjecture,
    ( epred4_0
    | ~ hskp30
    | ~ c0_1(a488) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_243]),c_0_277]) ).

cnf(c_0_377,negated_conjecture,
    ( epred2_0
    | ~ hskp25
    | ~ c2_1(a545) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_133]),c_0_134]) ).

cnf(c_0_378,negated_conjecture,
    ( epred2_0
    | c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_243]),c_0_277]) ).

cnf(c_0_379,negated_conjecture,
    ( epred51_0
    | epred23_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_76]),c_0_77]) ).

cnf(c_0_380,negated_conjecture,
    ( epred51_0
    | epred23_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ epred58_0
    | ~ epred25_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_169]),c_0_105]),c_0_71]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ epred52_0
    | ~ epred51_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_66]),c_0_104]),c_0_29]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ epred49_0
    | ~ epred48_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_295,c_0_170]),c_0_67]),c_0_30]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ epred47_0
    | ~ epred46_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_296,c_0_171]),c_0_190]),c_0_106]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ epred42_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_297,c_0_107]),c_0_131]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_298,c_0_149]),c_0_9]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_299,c_0_68]),c_0_131]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ epred31_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_300,c_0_98]),c_0_105]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ epred30_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_301,c_0_114]),c_0_30]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_302,c_0_41]),c_0_195]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_303,c_0_69]),c_0_60]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_126]),c_0_30]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_305,c_0_72]),c_0_88]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_17]),c_0_15]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_307,c_0_16]),c_0_106]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_308,c_0_18]),c_0_71]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c0_1(a466)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_398,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_309,c_0_310,c_0_311,c_0_312,c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_319,c_0_320,c_0_321,c_0_322,c_0_323,c_0_324,c_0_325,c_0_326,c_0_327,c_0_328,c_0_329,c_0_330,c_0_331,c_0_332,c_0_333,c_0_334,c_0_335,c_0_336,c_0_337,c_0_338,c_0_339,c_0_340,c_0_341,c_0_342,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_256,c_0_349,c_0_350,c_0_351,c_0_141,c_0_352,c_0_353,c_0_145,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_87,c_0_47,c_0_182,c_0_366,c_0_367,c_0_368,c_0_129,c_0_369,c_0_370,c_0_371,c_0_372,c_0_197,c_0_120,c_0_373,c_0_59,c_0_57,c_0_374,c_0_375,c_0_376,c_0_287,c_0_255,c_0_377,c_0_378,c_0_93,c_0_239,c_0_247,c_0_379,c_0_380,c_0_224,c_0_186,c_0_381,c_0_382,c_0_220,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_260,c_0_13,c_0_134,c_0_148,c_0_194,c_0_177,c_0_40,c_0_78,c_0_77,c_0_151,c_0_179,c_0_53,c_0_35,c_0_234,c_0_397,c_0_249,c_0_266,c_0_278,c_0_243,c_0_147,c_0_76,c_0_277,c_0_193,c_0_176,c_0_153,c_0_82,c_0_281,c_0_274,c_0_52,c_0_34,c_0_280,c_0_28,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n008.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 18:09:43 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.tDiZguiTDh/E---3.1_18863.p
% 12.26/1.99  # Version: 3.1pre001
% 12.26/1.99  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.26/1.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.26/1.99  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.26/1.99  # Starting new_bool_3 with 300s (1) cores
% 12.26/1.99  # Starting new_bool_1 with 300s (1) cores
% 12.26/1.99  # Starting sh5l with 300s (1) cores
% 12.26/1.99  # new_bool_1 with pid 18942 completed with status 0
% 12.26/1.99  # Result found by new_bool_1
% 12.26/1.99  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.26/1.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.26/1.99  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.26/1.99  # Starting new_bool_3 with 300s (1) cores
% 12.26/1.99  # Starting new_bool_1 with 300s (1) cores
% 12.26/1.99  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.26/1.99  # Search class: FGHNF-FSMM00-SFFFFFNN
% 12.26/1.99  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.26/1.99  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 12.26/1.99  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 18946 completed with status 0
% 12.26/1.99  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.26/1.99  # Preprocessing class: FSLSSLSMSSSNFFN.
% 12.26/1.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.26/1.99  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.26/1.99  # Starting new_bool_3 with 300s (1) cores
% 12.26/1.99  # Starting new_bool_1 with 300s (1) cores
% 12.26/1.99  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.26/1.99  # Search class: FGHNF-FSMM00-SFFFFFNN
% 12.26/1.99  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.26/1.99  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 12.26/1.99  # Preprocessing time       : 0.002 s
% 12.26/1.99  # SatCheck found unsatisfiable ground set
% 12.26/1.99  
% 12.26/1.99  # Proof found!
% 12.26/1.99  # SZS status Theorem
% 12.26/1.99  # SZS output start CNFRefutation
% See solution above
% 12.26/1.99  # Parsed axioms                        : 1
% 12.26/1.99  # Removed by relevancy pruning/SinE    : 0
% 12.26/1.99  # Initial clauses                      : 208
% 12.26/1.99  # Removed in clause preprocessing      : 0
% 12.26/1.99  # Initial clauses in saturation        : 208
% 12.26/1.99  # Processed clauses                    : 7493
% 12.26/1.99  # ...of these trivial                  : 0
% 12.26/1.99  # ...subsumed                          : 2493
% 12.26/1.99  # ...remaining for further processing  : 5000
% 12.26/1.99  # Other redundant clauses eliminated   : 0
% 12.26/1.99  # Clauses deleted for lack of memory   : 0
% 12.26/1.99  # Backward-subsumed                    : 1251
% 12.26/1.99  # Backward-rewritten                   : 63
% 12.26/1.99  # Generated clauses                    : 71269
% 12.26/1.99  # ...of the previous two non-redundant : 67316
% 12.26/1.99  # ...aggressively subsumed             : 0
% 12.26/1.99  # Contextual simplify-reflections      : 566
% 12.26/1.99  # Paramodulations                      : 71172
% 12.26/1.99  # Factorizations                       : 0
% 12.26/1.99  # NegExts                              : 0
% 12.26/1.99  # Equation resolutions                 : 0
% 12.26/1.99  # Total rewrite steps                  : 98
% 12.26/1.99  # Propositional unsat checks           : 1
% 12.26/1.99  #    Propositional check models        : 0
% 12.26/1.99  #    Propositional check unsatisfiable : 1
% 12.26/1.99  #    Propositional clauses             : 62847
% 12.26/1.99  #    Propositional clauses after purity: 62159
% 12.26/1.99  #    Propositional unsat core size     : 140
% 12.26/1.99  #    Propositional preprocessing time  : 0.000
% 12.26/1.99  #    Propositional encoding time       : 0.028
% 12.26/1.99  #    Propositional solver time         : 0.091
% 12.26/1.99  #    Success case prop preproc time    : 0.000
% 12.26/1.99  #    Success case prop encoding time   : 0.028
% 12.26/1.99  #    Success case prop solver time     : 0.091
% 12.26/1.99  # Current number of processed clauses  : 3648
% 12.26/1.99  #    Positive orientable unit clauses  : 1
% 12.26/1.99  #    Positive unorientable unit clauses: 0
% 12.26/1.99  #    Negative unit clauses             : 0
% 12.26/1.99  #    Non-unit-clauses                  : 3647
% 12.26/1.99  # Current number of unprocessed clauses: 59199
% 12.26/1.99  # ...number of literals in the above   : 394475
% 12.26/1.99  # Current number of archived formulas  : 0
% 12.26/1.99  # Current number of archived clauses   : 1314
% 12.26/1.99  # Clause-clause subsumption calls (NU) : 2138411
% 12.26/1.99  # Rec. Clause-clause subsumption calls : 177303
% 12.26/1.99  # Non-unit clause-clause subsumptions  : 4364
% 12.26/1.99  # Unit Clause-clause subsumption calls : 1
% 12.26/1.99  # Rewrite failures with RHS unbound    : 0
% 12.26/1.99  # BW rewrite match attempts            : 1
% 12.26/1.99  # BW rewrite match successes           : 1
% 12.26/1.99  # Condensation attempts                : 7493
% 12.26/1.99  # Condensation successes               : 0
% 12.26/1.99  # Termbank termtop insertions          : 665849
% 12.26/1.99  
% 12.26/1.99  # -------------------------------------------------
% 12.26/1.99  # User time                : 1.499 s
% 12.26/1.99  # System time              : 0.055 s
% 12.26/1.99  # Total time               : 1.554 s
% 12.26/1.99  # Maximum resident set size: 3040 pages
% 12.26/1.99  
% 12.26/1.99  # -------------------------------------------------
% 12.26/1.99  # User time                : 1.503 s
% 12.26/1.99  # System time              : 0.057 s
% 12.26/1.99  # Total time               : 1.560 s
% 12.26/1.99  # Maximum resident set size: 2144 pages
% 12.26/1.99  % E---3.1 exiting
%------------------------------------------------------------------------------