TSTP Solution File: SYN511+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:52:39 EDT 2023

% Result   : Theorem 1.31s 1.44s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  155
% Syntax   : Number of formulae    :  419 (   2 unt; 125 typ;   0 def)
%            Number of atoms       : 3609 (   0 equ)
%            Maximal formula atoms :  867 (  12 avg)
%            Number of connectives : 5007 (1692   ~;2423   |; 609   &)
%                                         (  29 <=>; 254  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  333 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   95 (  94 usr;  91 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  544 (   0 sgn; 410   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp0: $o ).

tff(decl_23,type,
    ndr1_0: $o ).

tff(decl_24,type,
    a668: $i ).

tff(decl_25,type,
    c1_1: $i > $o ).

tff(decl_26,type,
    c2_1: $i > $o ).

tff(decl_27,type,
    c3_1: $i > $o ).

tff(decl_28,type,
    hskp1: $o ).

tff(decl_29,type,
    a669: $i ).

tff(decl_30,type,
    c0_1: $i > $o ).

tff(decl_31,type,
    hskp2: $o ).

tff(decl_32,type,
    a670: $i ).

tff(decl_33,type,
    hskp3: $o ).

tff(decl_34,type,
    a671: $i ).

tff(decl_35,type,
    hskp4: $o ).

tff(decl_36,type,
    a672: $i ).

tff(decl_37,type,
    hskp5: $o ).

tff(decl_38,type,
    a673: $i ).

tff(decl_39,type,
    hskp6: $o ).

tff(decl_40,type,
    a674: $i ).

tff(decl_41,type,
    hskp7: $o ).

tff(decl_42,type,
    a675: $i ).

tff(decl_43,type,
    hskp8: $o ).

tff(decl_44,type,
    a679: $i ).

tff(decl_45,type,
    hskp9: $o ).

tff(decl_46,type,
    a680: $i ).

tff(decl_47,type,
    hskp10: $o ).

tff(decl_48,type,
    a681: $i ).

tff(decl_49,type,
    hskp11: $o ).

tff(decl_50,type,
    a683: $i ).

tff(decl_51,type,
    hskp12: $o ).

tff(decl_52,type,
    a684: $i ).

tff(decl_53,type,
    hskp13: $o ).

tff(decl_54,type,
    a688: $i ).

tff(decl_55,type,
    hskp14: $o ).

tff(decl_56,type,
    a696: $i ).

tff(decl_57,type,
    hskp15: $o ).

tff(decl_58,type,
    a700: $i ).

tff(decl_59,type,
    hskp16: $o ).

tff(decl_60,type,
    a702: $i ).

tff(decl_61,type,
    hskp17: $o ).

tff(decl_62,type,
    a703: $i ).

tff(decl_63,type,
    hskp18: $o ).

tff(decl_64,type,
    a708: $i ).

tff(decl_65,type,
    hskp19: $o ).

tff(decl_66,type,
    a710: $i ).

tff(decl_67,type,
    hskp20: $o ).

tff(decl_68,type,
    a711: $i ).

tff(decl_69,type,
    hskp21: $o ).

tff(decl_70,type,
    a715: $i ).

tff(decl_71,type,
    hskp22: $o ).

tff(decl_72,type,
    a716: $i ).

tff(decl_73,type,
    hskp23: $o ).

tff(decl_74,type,
    a730: $i ).

tff(decl_75,type,
    hskp24: $o ).

tff(decl_76,type,
    a731: $i ).

tff(decl_77,type,
    hskp25: $o ).

tff(decl_78,type,
    a760: $i ).

tff(decl_79,type,
    hskp26: $o ).

tff(decl_80,type,
    a762: $i ).

tff(decl_81,type,
    hskp27: $o ).

tff(decl_82,type,
    a676: $i ).

tff(decl_83,type,
    hskp28: $o ).

tff(decl_84,type,
    a678: $i ).

tff(decl_85,type,
    hskp29: $o ).

tff(decl_86,type,
    a725: $i ).

tff(decl_87,type,
    hskp30: $o ).

tff(decl_88,type,
    a753: $i ).

tff(decl_89,type,
    epred1_0: $o ).

tff(decl_90,type,
    epred2_0: $o ).

tff(decl_91,type,
    epred3_0: $o ).

tff(decl_92,type,
    epred4_0: $o ).

tff(decl_93,type,
    epred5_0: $o ).

tff(decl_94,type,
    epred6_0: $o ).

tff(decl_95,type,
    epred7_0: $o ).

tff(decl_96,type,
    epred8_0: $o ).

tff(decl_97,type,
    epred9_0: $o ).

tff(decl_98,type,
    epred10_0: $o ).

tff(decl_99,type,
    epred11_0: $o ).

tff(decl_100,type,
    epred12_0: $o ).

tff(decl_101,type,
    epred13_0: $o ).

tff(decl_102,type,
    epred14_0: $o ).

tff(decl_103,type,
    epred15_0: $o ).

tff(decl_104,type,
    epred16_0: $o ).

tff(decl_105,type,
    epred17_0: $o ).

tff(decl_106,type,
    epred18_0: $o ).

tff(decl_107,type,
    epred19_0: $o ).

tff(decl_108,type,
    epred20_0: $o ).

tff(decl_109,type,
    epred21_0: $o ).

tff(decl_110,type,
    epred22_0: $o ).

tff(decl_111,type,
    epred23_0: $o ).

tff(decl_112,type,
    epred24_0: $o ).

tff(decl_113,type,
    epred25_0: $o ).

tff(decl_114,type,
    epred26_0: $o ).

tff(decl_115,type,
    epred27_0: $o ).

tff(decl_116,type,
    epred28_0: $o ).

tff(decl_117,type,
    epred29_0: $o ).

tff(decl_118,type,
    epred30_0: $o ).

tff(decl_119,type,
    epred31_0: $o ).

tff(decl_120,type,
    epred32_0: $o ).

tff(decl_121,type,
    epred33_0: $o ).

tff(decl_122,type,
    epred34_0: $o ).

tff(decl_123,type,
    epred35_0: $o ).

tff(decl_124,type,
    epred36_0: $o ).

tff(decl_125,type,
    epred37_0: $o ).

tff(decl_126,type,
    epred38_0: $o ).

tff(decl_127,type,
    epred39_0: $o ).

tff(decl_128,type,
    epred40_0: $o ).

tff(decl_129,type,
    epred41_0: $o ).

tff(decl_130,type,
    epred42_0: $o ).

tff(decl_131,type,
    epred43_0: $o ).

tff(decl_132,type,
    epred44_0: $o ).

tff(decl_133,type,
    epred45_0: $o ).

tff(decl_134,type,
    epred46_0: $o ).

tff(decl_135,type,
    epred47_0: $o ).

tff(decl_136,type,
    epred48_0: $o ).

tff(decl_137,type,
    epred49_0: $o ).

tff(decl_138,type,
    epred50_0: $o ).

tff(decl_139,type,
    epred51_0: $o ).

tff(decl_140,type,
    epred52_0: $o ).

tff(decl_141,type,
    epred53_0: $o ).

tff(decl_142,type,
    epred54_0: $o ).

tff(decl_143,type,
    epred55_0: $o ).

tff(decl_144,type,
    epred56_0: $o ).

tff(decl_145,type,
    epred57_0: $o ).

tff(decl_146,type,
    epred58_0: $o ).

fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a668)
          & ~ c2_1(a668)
          & ~ c3_1(a668) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a669)
          & ~ c1_1(a669)
          & ~ c2_1(a669) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a670)
          & ~ c0_1(a670)
          & ~ c1_1(a670) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a671)
          & ~ c0_1(a671)
          & ~ c1_1(a671) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a672)
          & ~ c1_1(a672)
          & ~ c2_1(a672) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a673)
          & ~ c2_1(a673)
          & ~ c3_1(a673) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a674)
          & c3_1(a674)
          & ~ c1_1(a674) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a675)
          & c3_1(a675)
          & ~ c2_1(a675) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a679)
          & c3_1(a679)
          & ~ c0_1(a679) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a680)
          & ~ c1_1(a680)
          & ~ c3_1(a680) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a681)
          & c3_1(a681)
          & ~ c0_1(a681) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a683)
          & c3_1(a683)
          & ~ c2_1(a683) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a684)
          & ~ c0_1(a684)
          & ~ c2_1(a684) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a688)
          & c1_1(a688)
          & ~ c3_1(a688) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a696)
          & c2_1(a696)
          & ~ c3_1(a696) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a700)
          & ~ c0_1(a700)
          & ~ c3_1(a700) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a702)
          & c3_1(a702)
          & ~ c1_1(a702) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a703)
          & ~ c0_1(a703)
          & ~ c2_1(a703) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a708)
          & ~ c1_1(a708)
          & ~ c2_1(a708) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a710)
          & c2_1(a710)
          & ~ c0_1(a710) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a711)
          & c1_1(a711)
          & ~ c2_1(a711) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a715)
          & ~ c2_1(a715)
          & ~ c3_1(a715) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a716)
          & c2_1(a716)
          & ~ c3_1(a716) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a730)
          & c2_1(a730)
          & ~ c1_1(a730) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a731)
          & ~ c1_1(a731)
          & ~ c3_1(a731) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a760)
          & ~ c1_1(a760)
          & ~ c3_1(a760) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a762)
          & ~ c0_1(a762)
          & ~ c3_1(a762) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a676)
          & c1_1(a676)
          & c2_1(a676) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a678)
          & c1_1(a678)
          & c3_1(a678) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a725)
          & c2_1(a725)
          & c3_1(a725) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a753)
          & c2_1(a753)
          & c3_1(a753) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c0_1(X2)
              | ~ c1_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
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c2_1(X6) ) )
        | hskp5 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp6
        | hskp7 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c2_1(X9)
              | ~ c1_1(X9) ) )
        | hskp27 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c2_1(X11)
              | ~ c3_1(X11) ) )
        | hskp5 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c3_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c1_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp8
        | hskp9 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | hskp10
        | hskp2 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c0_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) )
        | hskp11 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c0_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) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) )
        | hskp12 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | hskp6 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp28
        | hskp7 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | hskp13
        | hskp9 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | ~ c0_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c0_1(X43)
              | ~ c3_1(X43) ) )
        | hskp7 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | hskp0 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c0_1(X47)
              | ~ c3_1(X47) ) )
        | hskp8 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c0_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c3_1(X52) ) )
        | hskp12 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | hskp4 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp10 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | hskp14
        | hskp1 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp27 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c0_1(X70)
              | ~ c1_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) )
        | hskp10 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | hskp15 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp3 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c0_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | hskp16 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c0_1(X80)
              | ~ c2_1(X80) ) )
        | hskp17 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | hskp6
        | hskp4 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp11
        | hskp16 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp18 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp6 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp19 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp20
        | hskp13 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | hskp1
        | hskp15 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c2_1(X91)
              | ~ c0_1(X91) ) )
        | hskp21
        | hskp22 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c0_1(X92) ) )
        | hskp9
        | hskp2 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp10 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | c2_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | ~ c3_1(X96) ) )
        | hskp16 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | c2_1(X97)
              | ~ c3_1(X97) ) )
        | hskp20
        | hskp0 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c3_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | c3_1(X99)
              | ~ c2_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | c3_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | hskp20
        | hskp19 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp29
        | hskp15 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | c3_1(X106)
              | ~ c2_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp13 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c1_1(X108)
              | c3_1(X108)
              | ~ c2_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c0_1(X110)
              | ~ c2_1(X110) ) ) )
      & ( ! [X111] :
            ( ndr1_0
           => ( c1_1(X111)
              | c3_1(X111)
              | ~ c2_1(X111) ) )
        | hskp27
        | hskp1 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c1_1(X112)
              | ~ c0_1(X112)
              | ~ c2_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( c1_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp23 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c1_1(X114)
              | ~ c0_1(X114)
              | ~ c2_1(X114) ) )
        | hskp24
        | hskp19 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | c3_1(X115)
              | ~ c1_1(X115) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp5 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c2_1(X117)
              | ~ c0_1(X117)
              | ~ c3_1(X117) ) )
        | hskp15
        | hskp4 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c2_1(X118)
              | ~ c1_1(X118)
              | ~ c3_1(X118) ) )
        | hskp28
        | hskp10 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c2_1(X119)
              | ~ c1_1(X119)
              | ~ c3_1(X119) ) )
        | hskp14
        | hskp17 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c0_1(X120)
              | ~ c1_1(X120) ) )
        | hskp14
        | hskp24 )
      & ( ! [X121] :
            ( ndr1_0
           => ( c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | hskp21 )
      & ( ! [X123] :
            ( ndr1_0
           => ( c3_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) )
        | hskp1
        | hskp21 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c1_1(X124)
              | ~ c2_1(X124) ) )
        | hskp9
        | hskp5 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c0_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) ) )
      & ( ! [X127] :
            ( ndr1_0
           => ( ~ c1_1(X127)
              | ~ c2_1(X127)
              | ~ c3_1(X127) ) )
        | hskp23
        | hskp16 )
      & ( hskp27
        | hskp24
        | hskp18 )
      & ( hskp28
        | hskp30
        | hskp11 )
      & ( hskp28
        | hskp19
        | hskp9 )
      & ( hskp13
        | hskp12
        | hskp25 )
      & ( hskp30
        | hskp26
        | hskp12 )
      & ( hskp11
        | hskp21
        | hskp2 )
      & ( hskp24
        | hskp18
        | hskp4 )
      & ( hskp29
        | hskp0
        | hskp16 )
      & ( hskp22
        | hskp8
        | hskp0 )
      & ( hskp7
        | hskp25
        | hskp5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a668)
            & ~ c2_1(a668)
            & ~ c3_1(a668) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a669)
            & ~ c1_1(a669)
            & ~ c2_1(a669) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a670)
            & ~ c0_1(a670)
            & ~ c1_1(a670) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a671)
            & ~ c0_1(a671)
            & ~ c1_1(a671) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a672)
            & ~ c1_1(a672)
            & ~ c2_1(a672) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a673)
            & ~ c2_1(a673)
            & ~ c3_1(a673) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a674)
            & c3_1(a674)
            & ~ c1_1(a674) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a675)
            & c3_1(a675)
            & ~ c2_1(a675) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a679)
            & c3_1(a679)
            & ~ c0_1(a679) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a680)
            & ~ c1_1(a680)
            & ~ c3_1(a680) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a681)
            & c3_1(a681)
            & ~ c0_1(a681) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a683)
            & c3_1(a683)
            & ~ c2_1(a683) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a684)
            & ~ c0_1(a684)
            & ~ c2_1(a684) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a688)
            & c1_1(a688)
            & ~ c3_1(a688) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a696)
            & c2_1(a696)
            & ~ c3_1(a696) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a700)
            & ~ c0_1(a700)
            & ~ c3_1(a700) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a702)
            & c3_1(a702)
            & ~ c1_1(a702) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a703)
            & ~ c0_1(a703)
            & ~ c2_1(a703) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a708)
            & ~ c1_1(a708)
            & ~ c2_1(a708) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a710)
            & c2_1(a710)
            & ~ c0_1(a710) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a711)
            & c1_1(a711)
            & ~ c2_1(a711) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a715)
            & ~ c2_1(a715)
            & ~ c3_1(a715) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a716)
            & c2_1(a716)
            & ~ c3_1(a716) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a730)
            & c2_1(a730)
            & ~ c1_1(a730) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a731)
            & ~ c1_1(a731)
            & ~ c3_1(a731) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a760)
            & ~ c1_1(a760)
            & ~ c3_1(a760) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a762)
            & ~ c0_1(a762)
            & ~ c3_1(a762) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a676)
            & c1_1(a676)
            & c2_1(a676) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a678)
            & c1_1(a678)
            & c3_1(a678) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a725)
            & c2_1(a725)
            & c3_1(a725) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a753)
            & c2_1(a753)
            & c3_1(a753) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c0_1(X2)
                | ~ c1_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
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c2_1(X6) ) )
          | hskp5 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp6
          | hskp7 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c2_1(X9)
                | ~ c1_1(X9) ) )
          | hskp27 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp5 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c3_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c1_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp8
          | hskp9 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | hskp10
          | hskp2 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp11 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c0_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) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) )
          | hskp12 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | hskp6 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp28
          | hskp7 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | hskp13
          | hskp9 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | ~ c0_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) )
          | hskp7 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | hskp0 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp8 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c3_1(X52) ) )
          | hskp12 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | hskp4 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp10 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp14
          | hskp1 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp27 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | ~ c1_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) )
          | hskp10 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | hskp15 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp3 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp16 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | hskp17 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | hskp6
          | hskp4 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp11
          | hskp16 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp6 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp19 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp20
          | hskp13 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | hskp1
          | hskp15 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c0_1(X91) ) )
          | hskp21
          | hskp22 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c0_1(X92) ) )
          | hskp9
          | hskp2 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp10 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c2_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | ~ c3_1(X96) ) )
          | hskp16 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c2_1(X97)
                | ~ c3_1(X97) ) )
          | hskp20
          | hskp0 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | c3_1(X99)
                | ~ c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | c3_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | hskp20
          | hskp19 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp29
          | hskp15 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | c3_1(X106)
                | ~ c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp13 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | c3_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | c3_1(X111)
                | ~ c2_1(X111) ) )
          | hskp27
          | hskp1 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | ~ c0_1(X112)
                | ~ c2_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp23 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c1_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp24
          | hskp19 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c3_1(X115)
                | ~ c1_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp5 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c0_1(X117)
                | ~ c3_1(X117) ) )
          | hskp15
          | hskp4 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | hskp28
          | hskp10 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | ~ c1_1(X119)
                | ~ c3_1(X119) ) )
          | hskp14
          | hskp17 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c0_1(X120)
                | ~ c1_1(X120) ) )
          | hskp14
          | hskp24 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp21 )
        & ( ! [X123] :
              ( ndr1_0
             => ( c3_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | hskp1
          | hskp21 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c2_1(X124) ) )
          | hskp9
          | hskp5 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) ) )
        & ( ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | ~ c2_1(X127)
                | ~ c3_1(X127) ) )
          | hskp23
          | hskp16 )
        & ( hskp27
          | hskp24
          | hskp18 )
        & ( hskp28
          | hskp30
          | hskp11 )
        & ( hskp28
          | hskp19
          | hskp9 )
        & ( hskp13
          | hskp12
          | hskp25 )
        & ( hskp30
          | hskp26
          | hskp12 )
        & ( hskp11
          | hskp21
          | hskp2 )
        & ( hskp24
          | hskp18
          | hskp4 )
        & ( hskp29
          | hskp0
          | hskp16 )
        & ( hskp22
          | hskp8
          | hskp0 )
        & ( hskp7
          | hskp25
          | hskp5 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [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,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c1_1(a668)
        | ~ hskp0 )
      & ( ~ c2_1(a668)
        | ~ hskp0 )
      & ( ~ c3_1(a668)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a669)
        | ~ hskp1 )
      & ( ~ c1_1(a669)
        | ~ hskp1 )
      & ( ~ c2_1(a669)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c3_1(a670)
        | ~ hskp2 )
      & ( ~ c0_1(a670)
        | ~ hskp2 )
      & ( ~ c1_1(a670)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c2_1(a671)
        | ~ hskp3 )
      & ( ~ c0_1(a671)
        | ~ hskp3 )
      & ( ~ c1_1(a671)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( ~ c0_1(a672)
        | ~ hskp4 )
      & ( ~ c1_1(a672)
        | ~ hskp4 )
      & ( ~ c2_1(a672)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( ~ c0_1(a673)
        | ~ hskp5 )
      & ( ~ c2_1(a673)
        | ~ hskp5 )
      & ( ~ c3_1(a673)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c0_1(a674)
        | ~ hskp6 )
      & ( c3_1(a674)
        | ~ hskp6 )
      & ( ~ c1_1(a674)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c1_1(a675)
        | ~ hskp7 )
      & ( c3_1(a675)
        | ~ hskp7 )
      & ( ~ c2_1(a675)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c1_1(a679)
        | ~ hskp8 )
      & ( c3_1(a679)
        | ~ hskp8 )
      & ( ~ c0_1(a679)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c2_1(a680)
        | ~ hskp9 )
      & ( ~ c1_1(a680)
        | ~ hskp9 )
      & ( ~ c3_1(a680)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c2_1(a681)
        | ~ hskp10 )
      & ( c3_1(a681)
        | ~ hskp10 )
      & ( ~ c0_1(a681)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c0_1(a683)
        | ~ hskp11 )
      & ( c3_1(a683)
        | ~ hskp11 )
      & ( ~ c2_1(a683)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c3_1(a684)
        | ~ hskp12 )
      & ( ~ c0_1(a684)
        | ~ hskp12 )
      & ( ~ c2_1(a684)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a688)
        | ~ hskp13 )
      & ( c1_1(a688)
        | ~ hskp13 )
      & ( ~ c3_1(a688)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c0_1(a696)
        | ~ hskp14 )
      & ( c2_1(a696)
        | ~ hskp14 )
      & ( ~ c3_1(a696)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c2_1(a700)
        | ~ hskp15 )
      & ( ~ c0_1(a700)
        | ~ hskp15 )
      & ( ~ c3_1(a700)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c2_1(a702)
        | ~ hskp16 )
      & ( c3_1(a702)
        | ~ hskp16 )
      & ( ~ c1_1(a702)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c1_1(a703)
        | ~ hskp17 )
      & ( ~ c0_1(a703)
        | ~ hskp17 )
      & ( ~ c2_1(a703)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c3_1(a708)
        | ~ hskp18 )
      & ( ~ c1_1(a708)
        | ~ hskp18 )
      & ( ~ c2_1(a708)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a710)
        | ~ hskp19 )
      & ( c2_1(a710)
        | ~ hskp19 )
      & ( ~ c0_1(a710)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c0_1(a711)
        | ~ hskp20 )
      & ( c1_1(a711)
        | ~ hskp20 )
      & ( ~ c2_1(a711)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c0_1(a715)
        | ~ hskp21 )
      & ( ~ c2_1(a715)
        | ~ hskp21 )
      & ( ~ c3_1(a715)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c1_1(a716)
        | ~ hskp22 )
      & ( c2_1(a716)
        | ~ hskp22 )
      & ( ~ c3_1(a716)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c0_1(a730)
        | ~ hskp23 )
      & ( c2_1(a730)
        | ~ hskp23 )
      & ( ~ c1_1(a730)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c0_1(a731)
        | ~ hskp24 )
      & ( ~ c1_1(a731)
        | ~ hskp24 )
      & ( ~ c3_1(a731)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( ~ c0_1(a760)
        | ~ hskp25 )
      & ( ~ c1_1(a760)
        | ~ hskp25 )
      & ( ~ c3_1(a760)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c1_1(a762)
        | ~ hskp26 )
      & ( ~ c0_1(a762)
        | ~ hskp26 )
      & ( ~ c3_1(a762)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a676)
        | ~ hskp27 )
      & ( c1_1(a676)
        | ~ hskp27 )
      & ( c2_1(a676)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a678)
        | ~ hskp28 )
      & ( c1_1(a678)
        | ~ hskp28 )
      & ( c3_1(a678)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c1_1(a725)
        | ~ hskp29 )
      & ( c2_1(a725)
        | ~ hskp29 )
      & ( c3_1(a725)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a753)
        | ~ hskp30 )
      & ( c2_1(a753)
        | ~ hskp30 )
      & ( c3_1(a753)
        | ~ hskp30 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | c2_1(X128)
        | ~ ndr1_0
        | c2_1(X129)
        | ~ c0_1(X129)
        | ~ c1_1(X129)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | c2_1(X130)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | c2_1(X131)
        | hskp3
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | c3_1(X132)
        | ~ ndr1_0
        | c1_1(X133)
        | c3_1(X133)
        | ~ c2_1(X133)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | c3_1(X134)
        | hskp6
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c1_1(X135)
        | ~ c2_1(X135)
        | ~ ndr1_0
        | c0_1(X136)
        | c2_1(X136)
        | ~ c1_1(X136)
        | hskp27 )
      & ( ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | ~ c2_1(X137)
        | ~ ndr1_0
        | c1_1(X138)
        | c2_1(X138)
        | ~ c3_1(X138)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X139)
        | c1_1(X139)
        | ~ c2_1(X139)
        | ~ ndr1_0
        | c1_1(X140)
        | c3_1(X140)
        | ~ c0_1(X140)
        | ~ ndr1_0
        | c2_1(X141)
        | ~ c1_1(X141)
        | ~ c3_1(X141) )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c1_1(X142)
        | ~ c2_1(X142)
        | ~ ndr1_0
        | ~ c0_1(X143)
        | ~ c2_1(X143)
        | ~ c3_1(X143)
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | ~ c2_1(X144)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X145)
        | c1_1(X145)
        | ~ c2_1(X145)
        | hskp10
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X146)
        | c1_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c0_1(X147)
        | ~ c1_1(X147)
        | ~ c3_1(X147)
        | ~ ndr1_0
        | c2_1(X148)
        | ~ c0_1(X148)
        | ~ c3_1(X148) )
      & ( ~ ndr1_0
        | c0_1(X149)
        | c1_1(X149)
        | ~ c3_1(X149)
        | ~ ndr1_0
        | c1_1(X150)
        | ~ c2_1(X150)
        | ~ c3_1(X150)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c1_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c2_1(X152)
        | ~ c0_1(X152)
        | ~ c1_1(X152)
        | ~ ndr1_0
        | ~ c0_1(X153)
        | ~ c2_1(X153)
        | ~ c3_1(X153) )
      & ( ~ ndr1_0
        | c0_1(X154)
        | c1_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | ~ c1_1(X155)
        | ~ c2_1(X155)
        | ~ c3_1(X155)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | c3_1(X156)
        | ~ ndr1_0
        | c0_1(X157)
        | c2_1(X157)
        | ~ c1_1(X157)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | c3_1(X158)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | c2_1(X159)
        | c3_1(X159)
        | hskp13
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c1_1(X160)
        | ~ ndr1_0
        | c0_1(X161)
        | ~ c1_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | ~ c1_1(X162)
        | ~ c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c0_1(X163)
        | c2_1(X163)
        | ~ c1_1(X163)
        | ~ ndr1_0
        | c0_1(X164)
        | ~ c2_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | c1_1(X165)
        | ~ c0_1(X165)
        | ~ c2_1(X165) )
      & ( ~ ndr1_0
        | c0_1(X166)
        | c2_1(X166)
        | ~ c1_1(X166)
        | ~ ndr1_0
        | c1_1(X167)
        | ~ c2_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | ~ c0_1(X168)
        | ~ c2_1(X168)
        | ~ c3_1(X168) )
      & ( ~ ndr1_0
        | c0_1(X169)
        | c2_1(X169)
        | ~ c3_1(X169)
        | ~ ndr1_0
        | c2_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | c3_1(X171)
        | ~ c1_1(X171)
        | ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X173)
        | c3_1(X173)
        | ~ c1_1(X173)
        | ~ ndr1_0
        | c1_1(X174)
        | ~ c0_1(X174)
        | ~ c3_1(X174)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176)
        | ~ ndr1_0
        | c2_1(X177)
        | ~ c1_1(X177)
        | ~ c3_1(X177) )
      & ( ~ ndr1_0
        | c0_1(X178)
        | c3_1(X178)
        | ~ c1_1(X178)
        | ~ ndr1_0
        | c2_1(X179)
        | ~ c0_1(X179)
        | ~ c3_1(X179)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X180)
        | c3_1(X180)
        | ~ c1_1(X180)
        | ~ ndr1_0
        | c3_1(X181)
        | ~ c1_1(X181)
        | ~ c2_1(X181)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | c3_1(X182)
        | ~ c2_1(X182)
        | ~ ndr1_0
        | c0_1(X183)
        | ~ c1_1(X183)
        | ~ c3_1(X183)
        | ~ ndr1_0
        | ~ c0_1(X184)
        | ~ c1_1(X184)
        | ~ c3_1(X184) )
      & ( ~ ndr1_0
        | c0_1(X185)
        | c3_1(X185)
        | ~ c2_1(X185)
        | ~ ndr1_0
        | c2_1(X186)
        | c3_1(X186)
        | ~ c1_1(X186)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X187)
        | c3_1(X187)
        | ~ c2_1(X187)
        | hskp14
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c1_1(X188)
        | ~ c2_1(X188)
        | ~ ndr1_0
        | c0_1(X189)
        | ~ c2_1(X189)
        | ~ c3_1(X189)
        | ~ ndr1_0
        | ~ c1_1(X190)
        | ~ c2_1(X190)
        | ~ c3_1(X190) )
      & ( ~ ndr1_0
        | c0_1(X191)
        | ~ c1_1(X191)
        | ~ c2_1(X191)
        | ~ ndr1_0
        | c1_1(X192)
        | c2_1(X192)
        | ~ c3_1(X192)
        | hskp27 )
      & ( ~ ndr1_0
        | c0_1(X193)
        | ~ c1_1(X193)
        | ~ c2_1(X193)
        | ~ ndr1_0
        | c1_1(X194)
        | ~ c0_1(X194)
        | ~ c3_1(X194) )
      & ( ~ ndr1_0
        | c0_1(X195)
        | ~ c1_1(X195)
        | ~ c2_1(X195)
        | ~ ndr1_0
        | c2_1(X196)
        | c3_1(X196)
        | ~ c0_1(X196)
        | ~ ndr1_0
        | c2_1(X197)
        | ~ c0_1(X197)
        | ~ c1_1(X197) )
      & ( ~ ndr1_0
        | c0_1(X198)
        | ~ c1_1(X198)
        | ~ c2_1(X198)
        | ~ ndr1_0
        | c3_1(X199)
        | ~ c0_1(X199)
        | ~ c1_1(X199)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X200)
        | ~ c1_1(X200)
        | ~ c2_1(X200)
        | ~ ndr1_0
        | ~ c0_1(X201)
        | ~ c1_1(X201)
        | ~ c3_1(X201)
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X202)
        | ~ c1_1(X202)
        | ~ c3_1(X202)
        | ~ ndr1_0
        | c1_1(X203)
        | ~ c0_1(X203)
        | ~ c2_1(X203)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X204)
        | ~ c1_1(X204)
        | ~ c3_1(X204)
        | ~ ndr1_0
        | c3_1(X205)
        | ~ c0_1(X205)
        | ~ c1_1(X205)
        | hskp16 )
      & ( ~ ndr1_0
        | c0_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | ~ ndr1_0
        | c3_1(X207)
        | ~ c0_1(X207)
        | ~ c2_1(X207)
        | hskp17 )
      & ( ~ ndr1_0
        | c0_1(X208)
        | ~ c1_1(X208)
        | ~ c3_1(X208)
        | hskp6
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X209)
        | ~ c2_1(X209)
        | ~ c3_1(X209)
        | hskp11
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X210)
        | c2_1(X210)
        | c3_1(X210)
        | ~ ndr1_0
        | ~ c1_1(X211)
        | ~ c2_1(X211)
        | ~ c3_1(X211)
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X212)
        | c2_1(X212)
        | ~ c0_1(X212)
        | ~ ndr1_0
        | c1_1(X213)
        | ~ c0_1(X213)
        | ~ c3_1(X213)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X214)
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ ndr1_0
        | ~ c1_1(X215)
        | ~ c2_1(X215)
        | ~ c3_1(X215)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X216)
        | c2_1(X216)
        | ~ c0_1(X216)
        | hskp20
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X217)
        | c2_1(X217)
        | ~ c0_1(X217)
        | hskp1
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X218)
        | c2_1(X218)
        | ~ c0_1(X218)
        | hskp21
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X219)
        | c2_1(X219)
        | ~ c0_1(X219)
        | hskp9
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X220)
        | c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c3_1(X221)
        | ~ c1_1(X221)
        | ~ c2_1(X221)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X222)
        | c2_1(X222)
        | ~ c3_1(X222)
        | ~ ndr1_0
        | ~ c0_1(X223)
        | ~ c1_1(X223)
        | ~ c3_1(X223)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X224)
        | c2_1(X224)
        | ~ c3_1(X224)
        | hskp20
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X225)
        | c3_1(X225)
        | ~ c0_1(X225)
        | ~ ndr1_0
        | c1_1(X226)
        | c3_1(X226)
        | ~ c2_1(X226)
        | ~ ndr1_0
        | ~ c1_1(X227)
        | ~ c2_1(X227)
        | ~ c3_1(X227) )
      & ( ~ ndr1_0
        | c1_1(X228)
        | c3_1(X228)
        | ~ c0_1(X228)
        | ~ ndr1_0
        | c3_1(X229)
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ ndr1_0
        | ~ c1_1(X230)
        | ~ c2_1(X230)
        | ~ c3_1(X230) )
      & ( ~ ndr1_0
        | c1_1(X231)
        | c3_1(X231)
        | ~ c0_1(X231)
        | hskp20
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X232)
        | c3_1(X232)
        | ~ c0_1(X232)
        | hskp29
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X233)
        | c3_1(X233)
        | ~ c2_1(X233)
        | ~ ndr1_0
        | c1_1(X234)
        | ~ c2_1(X234)
        | ~ c3_1(X234)
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X235)
        | c3_1(X235)
        | ~ c2_1(X235)
        | ~ ndr1_0
        | c2_1(X236)
        | ~ c0_1(X236)
        | ~ c3_1(X236)
        | ~ ndr1_0
        | c3_1(X237)
        | ~ c0_1(X237)
        | ~ c2_1(X237) )
      & ( ~ ndr1_0
        | c1_1(X238)
        | c3_1(X238)
        | ~ c2_1(X238)
        | hskp27
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X239)
        | ~ c0_1(X239)
        | ~ c2_1(X239)
        | ~ ndr1_0
        | c1_1(X240)
        | ~ c2_1(X240)
        | ~ c3_1(X240)
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X241)
        | ~ c0_1(X241)
        | ~ c2_1(X241)
        | hskp24
        | hskp19 )
      & ( ~ ndr1_0
        | c2_1(X242)
        | c3_1(X242)
        | ~ c1_1(X242)
        | ~ ndr1_0
        | ~ c0_1(X243)
        | ~ c2_1(X243)
        | ~ c3_1(X243)
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X244)
        | ~ c0_1(X244)
        | ~ c3_1(X244)
        | hskp15
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X245)
        | ~ c1_1(X245)
        | ~ c3_1(X245)
        | hskp28
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X246)
        | ~ c1_1(X246)
        | ~ c3_1(X246)
        | hskp14
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X247)
        | ~ c0_1(X247)
        | ~ c1_1(X247)
        | hskp14
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X248)
        | ~ c1_1(X248)
        | ~ c2_1(X248)
        | ~ ndr1_0
        | ~ c0_1(X249)
        | ~ c2_1(X249)
        | ~ c3_1(X249)
        | hskp21 )
      & ( ~ ndr1_0
        | c3_1(X250)
        | ~ c1_1(X250)
        | ~ c2_1(X250)
        | hskp1
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X251)
        | ~ c1_1(X251)
        | ~ c2_1(X251)
        | hskp9
        | hskp5 )
      & ( ~ ndr1_0
        | ~ c0_1(X252)
        | ~ c2_1(X252)
        | ~ c3_1(X252)
        | ~ ndr1_0
        | ~ c1_1(X253)
        | ~ c2_1(X253)
        | ~ c3_1(X253) )
      & ( ~ ndr1_0
        | ~ c1_1(X254)
        | ~ c2_1(X254)
        | ~ c3_1(X254)
        | hskp23
        | hskp16 )
      & ( hskp27
        | hskp24
        | hskp18 )
      & ( hskp28
        | hskp30
        | hskp11 )
      & ( hskp28
        | hskp19
        | hskp9 )
      & ( hskp13
        | hskp12
        | hskp25 )
      & ( hskp30
        | hskp26
        | hskp12 )
      & ( hskp11
        | hskp21
        | hskp2 )
      & ( hskp24
        | hskp18
        | hskp4 )
      & ( hskp29
        | hskp0
        | hskp16 )
      & ( hskp22
        | hskp8
        | hskp0 )
      & ( hskp7
        | hskp25
        | hskp5 ) ),
    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
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp0 ),
    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
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    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,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_10,negated_conjecture,
    ( epred3_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_7]),c_0_8])]) ).

cnf(c_0_11,negated_conjecture,
    ( c3_1(a725)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( c2_1(a725)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( epred1_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_8])]) ).

cnf(c_0_14,negated_conjecture,
    ( c1_1(a725)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_15,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_16,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_18,negated_conjecture,
    ( epred3_0
    | ~ hskp29
    | ~ c0_1(a725) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( epred1_0
    | c0_1(a725)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ( epred4_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_22,negated_conjecture,
    ( c3_1(a753)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23,negated_conjecture,
    ( c2_1(a753)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24,negated_conjecture,
    ( c0_1(a753)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( c3_1(a678)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( c0_1(a678)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    ( epred22_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_16]) ).

fof(c_0_28,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_29,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_30,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_32,negated_conjecture,
    ( c2_1(a702)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ c1_1(a702)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_34,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_35,negated_conjecture,
    ( hskp29
    | hskp0
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( epred4_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_14]),c_0_12]) ).

cnf(c_0_37,negated_conjecture,
    ( epred34_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_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_39,negated_conjecture,
    ( c3_1(a683)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_40,negated_conjecture,
    ( c0_1(a683)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ c2_1(a683)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_42,negated_conjecture,
    ( epred3_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_23]),c_0_24]) ).

cnf(c_0_43,negated_conjecture,
    ( hskp28
    | hskp30
    | hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_44,negated_conjecture,
    ( epred3_0
    | ~ hskp28
    | ~ c2_1(a678) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_26]) ).

cnf(c_0_45,negated_conjecture,
    ( epred22_0
    | c2_1(a678)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).

cnf(c_0_46,negated_conjecture,
    ( epred52_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_28]) ).

cnf(c_0_47,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_49,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_50,negated_conjecture,
    ( c1_1(a668)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ c2_1(a668)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_52,negated_conjecture,
    ( epred26_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).

cnf(c_0_53,negated_conjecture,
    ( epred3_0
    | epred1_0
    | hskp16
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_54,negated_conjecture,
    ( epred4_0
    | hskp16
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

cnf(c_0_55,negated_conjecture,
    ( c1_1(a678)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_56,negated_conjecture,
    ( epred34_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_23]),c_0_24]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_38]) ).

cnf(c_0_58,negated_conjecture,
    ( epred22_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_39]),c_0_40]),c_0_41]) ).

cnf(c_0_59,negated_conjecture,
    ( epred3_0
    | hskp28
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_60,negated_conjecture,
    ( epred22_0
    | epred3_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    ( epred52_0
    | c0_1(a725)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_11]),c_0_12]) ).

cnf(c_0_62,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_47]) ).

cnf(c_0_63,negated_conjecture,
    ( epred14_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]) ).

cnf(c_0_64,negated_conjecture,
    ( epred26_0
    | epred3_0
    | epred1_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_65,negated_conjecture,
    ( epred26_0
    | epred4_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_54]) ).

fof(c_0_66,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_67,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp12
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_68,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp12
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_69,negated_conjecture,
    ( epred4_0
    | ~ hskp28
    | ~ c2_1(a678) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_55]) ).

cnf(c_0_70,negated_conjecture,
    ( epred34_0
    | hskp28
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_56,c_0_43]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57,c_0_7]),c_0_15]) ).

cnf(c_0_72,negated_conjecture,
    ( epred22_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    ( epred52_0
    | epred3_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_18,c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ epred52_0
    | ~ epred4_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_62,c_0_9]),c_0_28]),c_0_15]) ).

cnf(c_0_75,negated_conjecture,
    ( epred26_0
    | epred14_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( epred26_0
    | epred14_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_65]) ).

cnf(c_0_77,negated_conjecture,
    ( epred2_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_66]) ).

fof(c_0_78,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_79,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c2_1(X3)
        | ~ c1_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_80,negated_conjecture,
    ( epred27_0
    | hskp12
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_67]),c_0_8])]) ).

cnf(c_0_81,negated_conjecture,
    ( c1_1(a762)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ c3_1(a762)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ c0_1(a762)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_84,negated_conjecture,
    ( hskp12
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_68]) ).

cnf(c_0_85,negated_conjecture,
    ( epred22_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_69,c_0_45]) ).

cnf(c_0_86,negated_conjecture,
    ( epred34_0
    | epred22_0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_58,c_0_70]) ).

cnf(c_0_87,negated_conjecture,
    ( epred22_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

fof(c_0_88,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | hskp11
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_89,negated_conjecture,
    ( epred52_0
    | epred3_0
    | hskp16
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_35]) ).

cnf(c_0_90,negated_conjecture,
    ( epred26_0
    | epred14_0
    | epred3_0
    | ~ epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

fof(c_0_91,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_92,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_93,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_94,negated_conjecture,
    ( epred4_0
    | ~ hskp30
    | ~ c1_1(a753) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_22]),c_0_23]) ).

cnf(c_0_95,negated_conjecture,
    ( epred26_0
    | c1_1(a753)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23]) ).

cnf(c_0_96,negated_conjecture,
    ( epred2_0
    | c1_1(a753)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_22]),c_0_24]) ).

cnf(c_0_97,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_98,negated_conjecture,
    ( c1_1(a710)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_100,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_101,plain,
    ( ~ epred57_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_102,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_78]) ).

cnf(c_0_103,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_79]) ).

cnf(c_0_104,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp8
    | hskp9
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_105,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp29
    | hskp15
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_106,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp20
    | hskp19
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_107,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp4
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_108,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | hskp10
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_109,negated_conjecture,
    ( c2_1(X1)
    | hskp14
    | hskp17
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_110,negated_conjecture,
    ( c1_1(X1)
    | hskp24
    | hskp19
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_111,plain,
    ( ~ epred55_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_112,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | hskp28
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c0_1(X1)
        | hskp16
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_115,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | hskp16
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_116,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_117,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_118,negated_conjecture,
    ( epred27_0
    | hskp12
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).

cnf(c_0_119,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ epred27_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_84,c_0_67]),c_0_16]) ).

cnf(c_0_121,negated_conjecture,
    ( epred34_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_122,negated_conjecture,
    ( c2_1(a681)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_124,negated_conjecture,
    ( epred25_0
    | hskp11
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_8])]) ).

cnf(c_0_125,negated_conjecture,
    ( c3_1(a681)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_126,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | hskp7
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_127,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp10
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_128,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp0
        | c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_129,negated_conjecture,
    ( epred52_0
    | epred26_0
    | epred3_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_89]) ).

cnf(c_0_130,negated_conjecture,
    ( epred26_0
    | epred14_0
    | ~ epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_90]),c_0_76]) ).

fof(c_0_131,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_132,negated_conjecture,
    ( epred39_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_91]) ).

cnf(c_0_133,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_134,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_135,negated_conjecture,
    ( epred17_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_92]) ).

cnf(c_0_136,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_93]) ).

cnf(c_0_137,negated_conjecture,
    ( epred26_0
    | epred4_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_138,negated_conjecture,
    ( epred4_0
    | epred2_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_94,c_0_96]) ).

cnf(c_0_139,negated_conjecture,
    ( epred1_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_97]),c_0_98]),c_0_99]) ).

cnf(c_0_140,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_142,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_100]) ).

cnf(c_0_143,negated_conjecture,
    ( epred57_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_101]),c_0_8])]) ).

cnf(c_0_144,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_145,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_146,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_147,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_148,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ 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_149,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_150,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp28
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_151,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | hskp16
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_152,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp16
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_153,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp11
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_154,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp7
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_155,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp10
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_156,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp0
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_157,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_158,negated_conjecture,
    ( epred42_0
    | epred4_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_102]) ).

cnf(c_0_159,negated_conjecture,
    ( epred50_0
    | c2_1(a678)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_25]),c_0_55]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ c2_1(a711)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_161,negated_conjecture,
    ( epred22_0
    | epred14_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_49]) ).

cnf(c_0_162,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_8])]) ).

cnf(c_0_163,negated_conjecture,
    ( hskp29
    | hskp15
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_8])]) ).

cnf(c_0_164,negated_conjecture,
    ( c0_1(a731)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_165,negated_conjecture,
    ( hskp20
    | hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_8])]) ).

cnf(c_0_166,negated_conjecture,
    ( hskp15
    | hskp4
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_8])]) ).

cnf(c_0_167,negated_conjecture,
    ( hskp28
    | hskp10
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_8])]) ).

cnf(c_0_168,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_8])]) ).

cnf(c_0_169,negated_conjecture,
    ( hskp24
    | hskp19
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_8])]) ).

cnf(c_0_170,negated_conjecture,
    ( c2_1(a680)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_172,negated_conjecture,
    ( epred55_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_8])]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_1(a700)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_174,negated_conjecture,
    ( epred54_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_112]),c_0_8])]) ).

cnf(c_0_175,negated_conjecture,
    ( c3_1(a684)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_176,negated_conjecture,
    ( epred45_0
    | hskp28
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_8])]) ).

cnf(c_0_177,negated_conjecture,
    ( c2_1(a700)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_178,negated_conjecture,
    ( epred40_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_114]),c_0_8])]) ).

cnf(c_0_179,negated_conjecture,
    ( epred38_0
    | hskp16
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_8])]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c2_1(a684)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_181,negated_conjecture,
    ( epred51_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_8])]) ).

cnf(c_0_182,negated_conjecture,
    ( epred48_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_8])]) ).

cnf(c_0_183,negated_conjecture,
    ( epred27_0
    | hskp30
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_184,negated_conjecture,
    ( epred34_0
    | ~ epred27_0 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_185,negated_conjecture,
    ( epred1_0
    | ~ hskp10
    | ~ c1_1(a681) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_122]),c_0_123]) ).

cnf(c_0_186,negated_conjecture,
    ( epred25_0
    | hskp11
    | c1_1(a681)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_123]) ).

cnf(c_0_187,negated_conjecture,
    ( epred21_0
    | hskp7
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_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,
    ( ~ c0_1(a684)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_189,negated_conjecture,
    ( epred13_0
    | hskp10
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_8])]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ c0_1(a700)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_192,negated_conjecture,
    ( epred9_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_8])]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ c1_1(a672)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ c0_1(a672)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_195,negated_conjecture,
    ( epred26_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_129]),c_0_130]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_197,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_131]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ c3_1(a696)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_200,negated_conjecture,
    ( c2_1(a696)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_201,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_202,negated_conjecture,
    ( epred39_0
    | ~ hskp7
    | ~ c0_1(a675) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).

cnf(c_0_203,negated_conjecture,
    ( epred17_0
    | c0_1(a675)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_133]),c_0_134]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ epred55_0
    | ~ epred42_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_136,c_0_111]),c_0_78]),c_0_16]) ).

cnf(c_0_205,negated_conjecture,
    ( epred26_0
    | epred4_0
    | hskp28
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_137,c_0_43]) ).

cnf(c_0_206,negated_conjecture,
    ( epred4_0
    | epred2_0
    | hskp28
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_138,c_0_43]) ).

cnf(c_0_207,negated_conjecture,
    ( epred1_0
    | hskp28
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_208,negated_conjecture,
    ( epred10_0
    | ~ hskp7
    | ~ c0_1(a675) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_134]) ).

cnf(c_0_209,negated_conjecture,
    ( c3_1(a679)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_210,negated_conjecture,
    ( c1_1(a679)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c0_1(a679)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ c0_1(a703)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_213,negated_conjecture,
    ( epred57_0
    | epred17_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_143]) ).

cnf(c_0_214,negated_conjecture,
    ( c1_1(a703)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_215,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_216,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_144]) ).

cnf(c_0_217,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_145]) ).

cnf(c_0_218,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_219,negated_conjecture,
    ( c2_1(X3)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_147]) ).

cnf(c_0_220,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X3)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_148]) ).

cnf(c_0_221,negated_conjecture,
    ( c1_1(X2)
    | c1_1(X1)
    | c2_1(X3)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_149]) ).

cnf(c_0_222,negated_conjecture,
    ( hskp28
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_150]) ).

cnf(c_0_223,negated_conjecture,
    ( hskp16
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_151]) ).

cnf(c_0_224,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_152]) ).

cnf(c_0_225,negated_conjecture,
    ( hskp11
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_153]) ).

cnf(c_0_226,negated_conjecture,
    ( hskp7
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_154]) ).

cnf(c_0_227,negated_conjecture,
    ( hskp10
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_155]) ).

cnf(c_0_228,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_156]) ).

cnf(c_0_229,negated_conjecture,
    ( c1_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_157]) ).

cnf(c_0_230,negated_conjecture,
    ( epred42_0
    | epred4_0
    | epred50_0
    | ~ c0_1(a678)
    | ~ c1_1(a678)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_231,negated_conjecture,
    ( epred22_0
    | epred14_0
    | ~ hskp20
    | ~ c0_1(a711)
    | ~ c1_1(a711) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_232,negated_conjecture,
    ( epred4_0
    | epred10_0
    | ~ hskp28
    | ~ c0_1(a678)
    | ~ c1_1(a678) ),
    inference(spm,[status(thm)],[c_0_69,c_0_142]) ).

cnf(c_0_233,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a702)
    | c1_1(a702)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_162,c_0_32]) ).

cnf(c_0_234,negated_conjecture,
    ( hskp29
    | hskp15
    | c3_1(a731)
    | c1_1(a731)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_235,negated_conjecture,
    ( hskp20
    | hskp19
    | c3_1(a731)
    | c1_1(a731)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_165,c_0_164]) ).

cnf(c_0_236,negated_conjecture,
    ( hskp15
    | hskp4
    | c2_1(a678)
    | ~ c0_1(a678)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_166,c_0_25]) ).

cnf(c_0_237,negated_conjecture,
    ( hskp28
    | hskp10
    | c2_1(a675)
    | ~ c1_1(a675)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_167,c_0_133]) ).

cnf(c_0_238,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a675)
    | ~ c1_1(a675)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_168,c_0_133]) ).

cnf(c_0_239,negated_conjecture,
    ( hskp24
    | hskp19
    | c1_1(a680)
    | ~ c0_1(a680)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_240,negated_conjecture,
    ( hskp24
    | hskp19
    | c1_1(a753)
    | ~ c0_1(a753)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_169,c_0_23]) ).

cnf(c_0_241,negated_conjecture,
    ( epred57_0
    | c0_1(a668)
    | ~ hskp0
    | ~ c1_1(a668) ),
    inference(spm,[status(thm)],[c_0_48,c_0_143]) ).

cnf(c_0_242,negated_conjecture,
    ( epred55_0
    | c1_1(a680)
    | ~ hskp9
    | ~ c2_1(a680) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_243,negated_conjecture,
    ( epred55_0
    | c1_1(a700)
    | ~ hskp15
    | ~ c2_1(a700) ),
    inference(spm,[status(thm)],[c_0_173,c_0_172]) ).

cnf(c_0_244,negated_conjecture,
    ( epred54_0
    | c0_1(a681)
    | c1_1(a681)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_174,c_0_125]) ).

cnf(c_0_245,negated_conjecture,
    ( epred54_0
    | c0_1(a684)
    | c1_1(a684)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_246,negated_conjecture,
    ( epred54_0
    | c0_1(a702)
    | c1_1(a702)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_174,c_0_31]) ).

cnf(c_0_247,negated_conjecture,
    ( epred45_0
    | hskp28
    | c0_1(a680)
    | c1_1(a680)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_176,c_0_170]) ).

cnf(c_0_248,negated_conjecture,
    ( epred45_0
    | hskp28
    | c0_1(a700)
    | c1_1(a700)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_249,negated_conjecture,
    ( epred40_0
    | hskp16
    | c0_1(a684)
    | ~ c1_1(a684)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_178,c_0_175]) ).

cnf(c_0_250,negated_conjecture,
    ( epred38_0
    | hskp16
    | c2_1(a684)
    | c1_1(a684)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_179,c_0_175]) ).

cnf(c_0_251,negated_conjecture,
    ( epred51_0
    | c0_1(a684)
    | ~ hskp12
    | ~ c1_1(a684) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_252,negated_conjecture,
    ( epred48_0
    | c0_1(a700)
    | c1_1(a700)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_182,c_0_177]) ).

cnf(c_0_253,negated_conjecture,
    ( epred34_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_183]),c_0_184]) ).

cnf(c_0_254,negated_conjecture,
    ( epred27_0
    | epred3_0
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_42,c_0_183]) ).

cnf(c_0_255,negated_conjecture,
    ( epred25_0
    | epred1_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_256,negated_conjecture,
    ( epred21_0
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_175]),c_0_180]),c_0_188]) ).

cnf(c_0_257,negated_conjecture,
    ( epred13_0
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_177]),c_0_173]),c_0_190]) ).

cnf(c_0_258,negated_conjecture,
    ( epred9_0
    | hskp0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]) ).

cnf(c_0_259,negated_conjecture,
    ( epred26_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_195]),c_0_76]) ).

cnf(c_0_260,negated_conjecture,
    ( epred50_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_133]),c_0_134]),c_0_141]) ).

cnf(c_0_261,negated_conjecture,
    ( epred49_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_164]),c_0_198]) ).

cnf(c_0_262,negated_conjecture,
    ( epred42_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_102]),c_0_200]),c_0_201]) ).

cnf(c_0_263,negated_conjecture,
    ( epred39_0
    | epred17_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_264,negated_conjecture,
    ( epred34_0
    | ~ hskp16
    | ~ c0_1(a702) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_32]) ).

cnf(c_0_265,negated_conjecture,
    ( epred34_0
    | ~ epred55_0
    | ~ epred42_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_121]) ).

cnf(c_0_266,negated_conjecture,
    ( epred26_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_205]),c_0_85]),c_0_87]) ).

cnf(c_0_267,negated_conjecture,
    ( epred22_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_206]),c_0_85]),c_0_87]) ).

cnf(c_0_268,negated_conjecture,
    ( epred22_0
    | epred4_0
    | epred1_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_85,c_0_207]) ).

cnf(c_0_269,negated_conjecture,
    ( epred17_0
    | epred10_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_208,c_0_203]) ).

cnf(c_0_270,negated_conjecture,
    ( epred17_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_209]),c_0_210]),c_0_211]) ).

cnf(c_0_271,negated_conjecture,
    ( epred17_0
    | ~ hskp12
    | ~ c1_1(a684) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_175]),c_0_188]) ).

cnf(c_0_272,negated_conjecture,
    ( epred4_0
    | ~ hskp10
    | ~ c1_1(a681) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_125]),c_0_122]) ).

cnf(c_0_273,negated_conjecture,
    ( epred1_0
    | ~ hskp15
    | ~ c1_1(a700) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_177]),c_0_190]) ).

cnf(c_0_274,negated_conjecture,
    ( epred57_0
    | epred17_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).

cnf(c_0_275,negated_conjecture,
    ( epred36_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_215]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ epred51_0
    | ~ epred17_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_216,c_0_116]),c_0_92]),c_0_15]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ epred54_0
    | ~ epred34_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_217,c_0_112]),c_0_100]),c_0_21]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ epred51_0
    | ~ epred34_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_218,c_0_116]),c_0_17]),c_0_21]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ epred57_0
    | ~ epred50_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_219,c_0_101]),c_0_100]),c_0_79]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ epred54_0
    | ~ epred22_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_220,c_0_112]),c_0_92]),c_0_16]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_221,c_0_117]),c_0_131]),c_0_79]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ epred45_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_222,c_0_113]),c_0_21]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ epred40_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223,c_0_114]),c_0_215]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_224,c_0_115]),c_0_91]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ epred26_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_225,c_0_88]),c_0_17]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_126]),c_0_16]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_227,c_0_127]),c_0_29]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_228,c_0_128]),c_0_100]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_229,c_0_9]),c_0_66]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ c1_1(a680)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_291,negated_conjecture,
    ( c0_1(a711)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_292,negated_conjecture,
    ( c1_1(a711)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_293,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_230,c_0_231,c_0_232,c_0_233,c_0_234,c_0_235,c_0_236,c_0_237,c_0_238,c_0_239,c_0_240,c_0_241,c_0_242,c_0_243,c_0_244,c_0_245,c_0_246,c_0_247,c_0_248,c_0_249,c_0_250,c_0_251,c_0_252,c_0_253,c_0_254,c_0_183,c_0_255,c_0_256,c_0_257,c_0_258,c_0_259,c_0_260,c_0_261,c_0_262,c_0_263,c_0_264,c_0_265,c_0_121,c_0_52,c_0_266,c_0_267,c_0_87,c_0_58,c_0_268,c_0_85,c_0_269,c_0_270,c_0_271,c_0_63,c_0_272,c_0_69,c_0_54,c_0_36,c_0_138,c_0_94,c_0_273,c_0_139,c_0_274,c_0_275,c_0_276,c_0_277,c_0_278,c_0_279,c_0_204,c_0_280,c_0_281,c_0_282,c_0_283,c_0_284,c_0_120,c_0_285,c_0_286,c_0_287,c_0_288,c_0_71,c_0_289,c_0_196,c_0_198,c_0_33,c_0_190,c_0_188,c_0_180,c_0_123,c_0_290,c_0_141,c_0_48,c_0_24,c_0_26,c_0_291,c_0_177,c_0_170,c_0_55,c_0_292,c_0_134,c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 21:52:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 1.31/1.44  % Version  : CSE_E---1.5
% 1.31/1.44  % Problem  : theBenchmark.p
% 1.31/1.44  % Proof found
% 1.31/1.44  % SZS status Theorem for theBenchmark.p
% 1.31/1.44  % SZS output start Proof
% See solution above
% 1.31/1.46  % Total time : 0.847000 s
% 1.31/1.46  % SZS output end Proof
% 1.31/1.46  % Total time : 0.853000 s
%------------------------------------------------------------------------------