TSTP Solution File: SYN452+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 01:51:58 EDT 2023

% Result   : Theorem 1.67s 1.74s
% Output   : CNFRefutation 1.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  163
% Syntax   : Number of formulae    :  582 (   2 unt; 119 typ;   0 def)
%            Number of atoms       : 3863 (   0 equ)
%            Maximal formula atoms :  693 (   8 avg)
%            Number of connectives : 5068 (1668   ~;2636   |; 537   &)
%                                         (  43 <=>; 184  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  274 (   6 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  :   90 (  89 usr;  86 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  511 (   1 sgn; 319   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    a815: $i ).

tff(decl_25,type,
    c0_1: $i > $o ).

tff(decl_26,type,
    c1_1: $i > $o ).

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

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

tff(decl_29,type,
    a816: $i ).

tff(decl_30,type,
    c2_1: $i > $o ).

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

tff(decl_32,type,
    a817: $i ).

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

tff(decl_34,type,
    a820: $i ).

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

tff(decl_36,type,
    a821: $i ).

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

tff(decl_38,type,
    a825: $i ).

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

tff(decl_40,type,
    a827: $i ).

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

tff(decl_42,type,
    a828: $i ).

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

tff(decl_44,type,
    a830: $i ).

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

tff(decl_46,type,
    a831: $i ).

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

tff(decl_48,type,
    a834: $i ).

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

tff(decl_50,type,
    a835: $i ).

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

tff(decl_52,type,
    a838: $i ).

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

tff(decl_54,type,
    a839: $i ).

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

tff(decl_56,type,
    a842: $i ).

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

tff(decl_58,type,
    a844: $i ).

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

tff(decl_60,type,
    a848: $i ).

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

tff(decl_62,type,
    a852: $i ).

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

tff(decl_64,type,
    a854: $i ).

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

tff(decl_66,type,
    a855: $i ).

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

tff(decl_68,type,
    a856: $i ).

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

tff(decl_70,type,
    a857: $i ).

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

tff(decl_72,type,
    a860: $i ).

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

tff(decl_74,type,
    a862: $i ).

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

tff(decl_76,type,
    a878: $i ).

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

tff(decl_78,type,
    a892: $i ).

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

tff(decl_80,type,
    a818: $i ).

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

tff(decl_82,type,
    a826: $i ).

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

tff(decl_84,type,
    a833: $i ).

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

tff(decl_86,type,
    a865: $i ).

tff(decl_87,type,
    epred1_0: $o ).

tff(decl_88,type,
    epred2_0: $o ).

tff(decl_89,type,
    epred3_0: $o ).

tff(decl_90,type,
    epred4_0: $o ).

tff(decl_91,type,
    epred5_0: $o ).

tff(decl_92,type,
    epred6_0: $o ).

tff(decl_93,type,
    epred7_0: $o ).

tff(decl_94,type,
    epred8_0: $o ).

tff(decl_95,type,
    epred9_0: $o ).

tff(decl_96,type,
    epred10_0: $o ).

tff(decl_97,type,
    epred11_0: $o ).

tff(decl_98,type,
    epred12_0: $o ).

tff(decl_99,type,
    epred13_0: $o ).

tff(decl_100,type,
    epred14_0: $o ).

tff(decl_101,type,
    epred15_0: $o ).

tff(decl_102,type,
    epred16_0: $o ).

tff(decl_103,type,
    epred17_0: $o ).

tff(decl_104,type,
    epred18_0: $o ).

tff(decl_105,type,
    epred19_0: $o ).

tff(decl_106,type,
    epred20_0: $o ).

tff(decl_107,type,
    epred21_0: $o ).

tff(decl_108,type,
    epred22_0: $o ).

tff(decl_109,type,
    epred23_0: $o ).

tff(decl_110,type,
    epred24_0: $o ).

tff(decl_111,type,
    epred25_0: $o ).

tff(decl_112,type,
    epred26_0: $o ).

tff(decl_113,type,
    epred27_0: $o ).

tff(decl_114,type,
    epred28_0: $o ).

tff(decl_115,type,
    epred29_0: $o ).

tff(decl_116,type,
    epred30_0: $o ).

tff(decl_117,type,
    epred31_0: $o ).

tff(decl_118,type,
    epred32_0: $o ).

tff(decl_119,type,
    epred33_0: $o ).

tff(decl_120,type,
    epred34_0: $o ).

tff(decl_121,type,
    epred35_0: $o ).

tff(decl_122,type,
    epred36_0: $o ).

tff(decl_123,type,
    epred37_0: $o ).

tff(decl_124,type,
    epred38_0: $o ).

tff(decl_125,type,
    epred39_0: $o ).

tff(decl_126,type,
    epred40_0: $o ).

tff(decl_127,type,
    epred41_0: $o ).

tff(decl_128,type,
    epred42_0: $o ).

tff(decl_129,type,
    epred43_0: $o ).

tff(decl_130,type,
    epred44_0: $o ).

tff(decl_131,type,
    epred45_0: $o ).

tff(decl_132,type,
    epred46_0: $o ).

tff(decl_133,type,
    epred47_0: $o ).

tff(decl_134,type,
    epred48_0: $o ).

tff(decl_135,type,
    epred49_0: $o ).

tff(decl_136,type,
    epred50_0: $o ).

tff(decl_137,type,
    epred51_0: $o ).

tff(decl_138,type,
    epred52_0: $o ).

tff(decl_139,type,
    epred53_0: $o ).

tff(decl_140,type,
    epred54_0: $o ).

fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a815)
          & c1_1(a815)
          & ~ c3_1(a815) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a816)
          & c3_1(a816)
          & ~ c2_1(a816) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a817)
          & ~ c0_1(a817)
          & ~ c3_1(a817) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a820)
          & ~ c1_1(a820)
          & ~ c3_1(a820) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a821)
          & ~ c0_1(a821)
          & ~ c1_1(a821) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a825)
          & c3_1(a825)
          & ~ c0_1(a825) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a827)
          & c2_1(a827)
          & ~ c0_1(a827) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a828)
          & ~ c1_1(a828)
          & ~ c2_1(a828) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a830)
          & ~ c2_1(a830)
          & ~ c3_1(a830) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a831)
          & ~ c0_1(a831)
          & ~ c1_1(a831) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a834)
          & c2_1(a834)
          & ~ c1_1(a834) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a835)
          & c3_1(a835)
          & ~ c0_1(a835) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a838)
          & c2_1(a838)
          & ~ c3_1(a838) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a839)
          & c3_1(a839)
          & ~ c2_1(a839) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a842)
          & c1_1(a842)
          & ~ c2_1(a842) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a844)
          & ~ c1_1(a844)
          & ~ c3_1(a844) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a848)
          & c3_1(a848)
          & ~ c1_1(a848) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a852)
          & ~ c2_1(a852)
          & ~ c3_1(a852) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a854)
          & ~ c0_1(a854)
          & ~ c2_1(a854) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a855)
          & ~ c1_1(a855)
          & ~ c3_1(a855) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a856)
          & ~ c1_1(a856)
          & ~ c2_1(a856) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a857)
          & ~ c2_1(a857)
          & ~ c3_1(a857) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a860)
          & ~ c1_1(a860)
          & ~ c2_1(a860) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a862)
          & c3_1(a862)
          & ~ c1_1(a862) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a878)
          & ~ c0_1(a878)
          & ~ c3_1(a878) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a892)
          & c2_1(a892)
          & ~ c3_1(a892) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a818)
          & c1_1(a818)
          & c2_1(a818) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a826)
          & c2_1(a826)
          & c3_1(a826) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a833)
          & c1_1(a833)
          & c3_1(a833) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a865)
          & c2_1(a865)
          & c3_1(a865) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | ~ c0_1(X4) ) )
        | hskp1 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | ~ c0_1(X6)
              | ~ c2_1(X6) ) )
        | hskp2 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | hskp26
        | hskp0 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | ~ c1_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c0_1(X12)
              | ~ c1_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3
        | hskp4 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c1_1(X15)
              | ~ c2_1(X15) ) )
        | hskp3 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp2 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c3_1(X21)
              | ~ c0_1(X21) ) )
        | hskp5 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | hskp27
        | hskp6 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | hskp7
        | hskp4 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | hskp8 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | ~ c1_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | ~ c0_1(X30)
              | ~ c3_1(X30) ) )
        | hskp9 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c0_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp26
        | hskp28 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | hskp10
        | hskp11 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c3_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c0_1(X37)
              | ~ c1_1(X37) ) )
        | hskp26 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c0_1(X39)
              | ~ c2_1(X39) ) )
        | hskp6 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) )
        | hskp12
        | hskp13 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c2_1(X42)
              | c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c1_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | hskp2 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c1_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c1_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | ~ c0_1(X50)
              | ~ c1_1(X50) ) )
        | hskp9 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c3_1(X51) ) )
        | hskp14
        | hskp13 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | hskp15
        | hskp8 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | ~ c0_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp6 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | hskp27 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp16 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | ~ c3_1(X68) ) )
        | hskp9 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp3 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp12
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp3
        | hskp18 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp19 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c0_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp20 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c3_1(X77) ) )
        | hskp21
        | hskp13 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp14
        | hskp22 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | ~ c3_1(X80) ) )
        | hskp15 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c1_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp23 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c1_1(X83) ) )
        | hskp1
        | hskp22 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp29
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c1_1(X86)
              | ~ c3_1(X86) ) )
        | hskp29 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp14
        | hskp7 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp14
        | hskp15 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp1
        | hskp2 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp8 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp23
        | hskp3 )
      & ( hskp28
        | hskp24
        | hskp20 )
      & ( hskp14
        | hskp12
        | hskp11 )
      & ( hskp14
        | hskp24 )
      & ( hskp27
        | hskp18
        | hskp9 )
      & ( hskp27
        | hskp17
        | hskp15 )
      & ( hskp23
        | hskp25
        | hskp5 )
      & ( hskp7
        | hskp5
        | hskp13 )
      & ( hskp13
        | hskp16
        | hskp19 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a815)
            & c1_1(a815)
            & ~ c3_1(a815) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a816)
            & c3_1(a816)
            & ~ c2_1(a816) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a817)
            & ~ c0_1(a817)
            & ~ c3_1(a817) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a820)
            & ~ c1_1(a820)
            & ~ c3_1(a820) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a821)
            & ~ c0_1(a821)
            & ~ c1_1(a821) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a825)
            & c3_1(a825)
            & ~ c0_1(a825) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a827)
            & c2_1(a827)
            & ~ c0_1(a827) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a828)
            & ~ c1_1(a828)
            & ~ c2_1(a828) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a830)
            & ~ c2_1(a830)
            & ~ c3_1(a830) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a831)
            & ~ c0_1(a831)
            & ~ c1_1(a831) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a834)
            & c2_1(a834)
            & ~ c1_1(a834) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a835)
            & c3_1(a835)
            & ~ c0_1(a835) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a838)
            & c2_1(a838)
            & ~ c3_1(a838) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a839)
            & c3_1(a839)
            & ~ c2_1(a839) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a842)
            & c1_1(a842)
            & ~ c2_1(a842) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a844)
            & ~ c1_1(a844)
            & ~ c3_1(a844) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a848)
            & c3_1(a848)
            & ~ c1_1(a848) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a852)
            & ~ c2_1(a852)
            & ~ c3_1(a852) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a854)
            & ~ c0_1(a854)
            & ~ c2_1(a854) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a855)
            & ~ c1_1(a855)
            & ~ c3_1(a855) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a856)
            & ~ c1_1(a856)
            & ~ c2_1(a856) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a857)
            & ~ c2_1(a857)
            & ~ c3_1(a857) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a860)
            & ~ c1_1(a860)
            & ~ c2_1(a860) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a862)
            & c3_1(a862)
            & ~ c1_1(a862) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a878)
            & ~ c0_1(a878)
            & ~ c3_1(a878) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a892)
            & c2_1(a892)
            & ~ c3_1(a892) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a818)
            & c1_1(a818)
            & c2_1(a818) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a826)
            & c2_1(a826)
            & c3_1(a826) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a833)
            & c1_1(a833)
            & c3_1(a833) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a865)
            & c2_1(a865)
            & c3_1(a865) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | ~ c0_1(X4) ) )
          | hskp1 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c0_1(X6)
                | ~ c2_1(X6) ) )
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | hskp26
          | hskp0 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c1_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c0_1(X12)
                | ~ c1_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3
          | hskp4 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp3 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp2 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c3_1(X21)
                | ~ c0_1(X21) ) )
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | hskp27
          | hskp6 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | hskp7
          | hskp4 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | hskp8 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | ~ c1_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c0_1(X30)
                | ~ c3_1(X30) ) )
          | hskp9 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c0_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp26
          | hskp28 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | hskp10
          | hskp11 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c3_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | hskp26 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | hskp6 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | hskp12
          | hskp13 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c1_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | hskp2 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | ~ c0_1(X50)
                | ~ c1_1(X50) ) )
          | hskp9 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c3_1(X51) ) )
          | hskp14
          | hskp13 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | hskp15
          | hskp8 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp6 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | hskp27 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp16 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | ~ c3_1(X68) ) )
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp3 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp12
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp3
          | hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp19 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp20 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c3_1(X77) ) )
          | hskp21
          | hskp13 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp14
          | hskp22 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | ~ c3_1(X80) ) )
          | hskp15 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp23 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | hskp1
          | hskp22 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp29
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c1_1(X86)
                | ~ c3_1(X86) ) )
          | hskp29 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp14
          | hskp7 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp14
          | hskp15 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp1
          | hskp2 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp8 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp23
          | hskp3 )
        & ( hskp28
          | hskp24
          | hskp20 )
        & ( hskp14
          | hskp12
          | hskp11 )
        & ( hskp14
          | hskp24 )
        & ( hskp27
          | hskp18
          | hskp9 )
        & ( hskp27
          | hskp17
          | hskp15 )
        & ( hskp23
          | hskp25
          | hskp5 )
        & ( hskp7
          | hskp5
          | hskp13 )
        & ( hskp13
          | hskp16
          | hskp19 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c0_1(a815)
        | ~ hskp0 )
      & ( c1_1(a815)
        | ~ hskp0 )
      & ( ~ c3_1(a815)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a816)
        | ~ hskp1 )
      & ( c3_1(a816)
        | ~ hskp1 )
      & ( ~ c2_1(a816)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c2_1(a817)
        | ~ hskp2 )
      & ( ~ c0_1(a817)
        | ~ hskp2 )
      & ( ~ c3_1(a817)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a820)
        | ~ hskp3 )
      & ( ~ c1_1(a820)
        | ~ hskp3 )
      & ( ~ c3_1(a820)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c2_1(a821)
        | ~ hskp4 )
      & ( ~ c0_1(a821)
        | ~ hskp4 )
      & ( ~ c1_1(a821)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c1_1(a825)
        | ~ hskp5 )
      & ( c3_1(a825)
        | ~ hskp5 )
      & ( ~ c0_1(a825)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c1_1(a827)
        | ~ hskp6 )
      & ( c2_1(a827)
        | ~ hskp6 )
      & ( ~ c0_1(a827)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a828)
        | ~ hskp7 )
      & ( ~ c1_1(a828)
        | ~ hskp7 )
      & ( ~ c2_1(a828)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( ~ c0_1(a830)
        | ~ hskp8 )
      & ( ~ c2_1(a830)
        | ~ hskp8 )
      & ( ~ c3_1(a830)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c3_1(a831)
        | ~ hskp9 )
      & ( ~ c0_1(a831)
        | ~ hskp9 )
      & ( ~ c1_1(a831)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c0_1(a834)
        | ~ hskp10 )
      & ( c2_1(a834)
        | ~ hskp10 )
      & ( ~ c1_1(a834)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c2_1(a835)
        | ~ hskp11 )
      & ( c3_1(a835)
        | ~ hskp11 )
      & ( ~ c0_1(a835)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a838)
        | ~ hskp12 )
      & ( c2_1(a838)
        | ~ hskp12 )
      & ( ~ c3_1(a838)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c1_1(a839)
        | ~ hskp13 )
      & ( c3_1(a839)
        | ~ hskp13 )
      & ( ~ c2_1(a839)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c0_1(a842)
        | ~ hskp14 )
      & ( c1_1(a842)
        | ~ hskp14 )
      & ( ~ c2_1(a842)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c2_1(a844)
        | ~ hskp15 )
      & ( ~ c1_1(a844)
        | ~ hskp15 )
      & ( ~ c3_1(a844)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c2_1(a848)
        | ~ hskp16 )
      & ( c3_1(a848)
        | ~ hskp16 )
      & ( ~ c1_1(a848)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c1_1(a852)
        | ~ hskp17 )
      & ( ~ c2_1(a852)
        | ~ hskp17 )
      & ( ~ c3_1(a852)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a854)
        | ~ hskp18 )
      & ( ~ c0_1(a854)
        | ~ hskp18 )
      & ( ~ c2_1(a854)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( ~ c0_1(a855)
        | ~ hskp19 )
      & ( ~ c1_1(a855)
        | ~ hskp19 )
      & ( ~ c3_1(a855)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c3_1(a856)
        | ~ hskp20 )
      & ( ~ c1_1(a856)
        | ~ hskp20 )
      & ( ~ c2_1(a856)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c0_1(a857)
        | ~ hskp21 )
      & ( ~ c2_1(a857)
        | ~ hskp21 )
      & ( ~ c3_1(a857)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( ~ c0_1(a860)
        | ~ hskp22 )
      & ( ~ c1_1(a860)
        | ~ hskp22 )
      & ( ~ c2_1(a860)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c0_1(a862)
        | ~ hskp23 )
      & ( c3_1(a862)
        | ~ hskp23 )
      & ( ~ c1_1(a862)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c1_1(a878)
        | ~ hskp24 )
      & ( ~ c0_1(a878)
        | ~ hskp24 )
      & ( ~ c3_1(a878)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c1_1(a892)
        | ~ hskp25 )
      & ( c2_1(a892)
        | ~ hskp25 )
      & ( ~ c3_1(a892)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a818)
        | ~ hskp26 )
      & ( c1_1(a818)
        | ~ hskp26 )
      & ( c2_1(a818)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a826)
        | ~ hskp27 )
      & ( c2_1(a826)
        | ~ hskp27 )
      & ( c3_1(a826)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a833)
        | ~ hskp28 )
      & ( c1_1(a833)
        | ~ hskp28 )
      & ( c3_1(a833)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c1_1(a865)
        | ~ hskp29 )
      & ( c2_1(a865)
        | ~ hskp29 )
      & ( c3_1(a865)
        | ~ hskp29 )
      & ( ~ ndr1_0
        | c0_1(X93)
        | c1_1(X93)
        | c2_1(X93)
        | ~ ndr1_0
        | c1_1(X94)
        | c2_1(X94)
        | c3_1(X94)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X95)
        | c1_1(X95)
        | c2_1(X95)
        | ~ ndr1_0
        | c1_1(X96)
        | c2_1(X96)
        | ~ c0_1(X96)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X97)
        | c1_1(X97)
        | c2_1(X97)
        | ~ ndr1_0
        | c3_1(X98)
        | ~ c0_1(X98)
        | ~ c2_1(X98)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X99)
        | c1_1(X99)
        | c3_1(X99)
        | ~ ndr1_0
        | c0_1(X100)
        | c1_1(X100)
        | ~ c3_1(X100) )
      & ( ~ ndr1_0
        | c0_1(X101)
        | c1_1(X101)
        | c3_1(X101)
        | hskp26
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X102)
        | c1_1(X102)
        | ~ c2_1(X102)
        | ~ ndr1_0
        | c0_1(X103)
        | ~ c1_1(X103)
        | ~ c3_1(X103)
        | ~ ndr1_0
        | c3_1(X104)
        | ~ c0_1(X104)
        | ~ c1_1(X104) )
      & ( ~ ndr1_0
        | c0_1(X105)
        | c1_1(X105)
        | ~ c2_1(X105)
        | hskp3
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X106)
        | c1_1(X106)
        | ~ c3_1(X106)
        | ~ ndr1_0
        | c0_1(X107)
        | ~ c1_1(X107)
        | ~ c2_1(X107)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | ~ c3_1(X108)
        | ~ ndr1_0
        | c1_1(X109)
        | c2_1(X109)
        | ~ c3_1(X109)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X110)
        | c2_1(X110)
        | c3_1(X110)
        | ~ ndr1_0
        | c0_1(X111)
        | c2_1(X111)
        | ~ c3_1(X111)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X112)
        | c2_1(X112)
        | c3_1(X112)
        | ~ ndr1_0
        | c2_1(X113)
        | c3_1(X113)
        | ~ c0_1(X113)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X114)
        | c2_1(X114)
        | c3_1(X114)
        | hskp27
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X115)
        | c2_1(X115)
        | c3_1(X115)
        | hskp7
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X116)
        | c2_1(X116)
        | ~ c1_1(X116)
        | ~ ndr1_0
        | c2_1(X117)
        | c3_1(X117)
        | ~ c0_1(X117)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X118)
        | c2_1(X118)
        | ~ c1_1(X118)
        | ~ ndr1_0
        | c2_1(X119)
        | ~ c0_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c2_1(X120)
        | ~ c1_1(X120)
        | ~ c3_1(X120) )
      & ( ~ ndr1_0
        | c0_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121)
        | ~ ndr1_0
        | c2_1(X122)
        | ~ c0_1(X122)
        | ~ c3_1(X122)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c3_1(X123)
        | ~ ndr1_0
        | c1_1(X124)
        | ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ ndr1_0
        | c2_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125) )
      & ( ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c3_1(X126)
        | hskp26
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c2_1(X127)
        | ~ c3_1(X127)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c3_1(X128)
        | ~ c1_1(X128)
        | ~ ndr1_0
        | c2_1(X129)
        | ~ c0_1(X129)
        | ~ c1_1(X129)
        | hskp26 )
      & ( ~ ndr1_0
        | c0_1(X130)
        | c3_1(X130)
        | ~ c1_1(X130)
        | ~ ndr1_0
        | c3_1(X131)
        | ~ c0_1(X131)
        | ~ c2_1(X131)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X132)
        | c3_1(X132)
        | ~ c1_1(X132)
        | hskp12
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c3_1(X133)
        | ~ c2_1(X133)
        | ~ ndr1_0
        | c1_1(X134)
        | c2_1(X134)
        | c3_1(X134)
        | ~ ndr1_0
        | c3_1(X135)
        | ~ c1_1(X135)
        | ~ c2_1(X135) )
      & ( ~ ndr1_0
        | c0_1(X136)
        | c3_1(X136)
        | ~ c2_1(X136)
        | ~ ndr1_0
        | c1_1(X137)
        | c3_1(X137)
        | ~ c2_1(X137)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | ~ c1_1(X138)
        | ~ c2_1(X138)
        | ~ ndr1_0
        | c1_1(X139)
        | c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c2_1(X140)
        | ~ c0_1(X140)
        | ~ c1_1(X140) )
      & ( ~ ndr1_0
        | c0_1(X141)
        | ~ c1_1(X141)
        | ~ c3_1(X141)
        | ~ ndr1_0
        | c3_1(X142)
        | ~ c0_1(X142)
        | ~ c1_1(X142)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X143)
        | ~ c1_1(X143)
        | ~ c3_1(X143)
        | hskp14
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | ~ c1_1(X144)
        | ~ c3_1(X144)
        | hskp15
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X145)
        | ~ c2_1(X145)
        | ~ c3_1(X145)
        | ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c2_1(X147)
        | c3_1(X147)
        | ~ c1_1(X147) )
      & ( ~ ndr1_0
        | c1_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | ~ ndr1_0
        | c1_1(X149)
        | c2_1(X149)
        | ~ c0_1(X149)
        | ~ ndr1_0
        | ~ c1_1(X150)
        | ~ c2_1(X150)
        | ~ c3_1(X150) )
      & ( ~ ndr1_0
        | c1_1(X151)
        | c2_1(X151)
        | c3_1(X151)
        | ~ ndr1_0
        | c1_1(X152)
        | ~ c2_1(X152)
        | ~ c3_1(X152)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X153)
        | c2_1(X153)
        | c3_1(X153)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X154)
        | c2_1(X154)
        | ~ c0_1(X154)
        | ~ ndr1_0
        | c1_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155)
        | ~ ndr1_0
        | ~ c0_1(X156)
        | ~ c1_1(X156)
        | ~ c3_1(X156) )
      & ( ~ ndr1_0
        | c1_1(X157)
        | c2_1(X157)
        | ~ c0_1(X157)
        | ~ ndr1_0
        | c1_1(X158)
        | ~ c2_1(X158)
        | ~ c3_1(X158)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X159)
        | c2_1(X159)
        | ~ c0_1(X159)
        | ~ ndr1_0
        | c2_1(X160)
        | ~ c0_1(X160)
        | ~ c3_1(X160)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X161)
        | c2_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | ~ c0_1(X162)
        | ~ c1_1(X162)
        | ~ c3_1(X162)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X163)
        | c3_1(X163)
        | ~ c0_1(X163)
        | hskp12
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | hskp3
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X165)
        | ~ c0_1(X165)
        | ~ c2_1(X165)
        | ~ ndr1_0
        | c2_1(X166)
        | ~ c0_1(X166)
        | ~ c1_1(X166)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X167)
        | ~ c0_1(X167)
        | ~ c3_1(X167)
        | ~ ndr1_0
        | c1_1(X168)
        | ~ c2_1(X168)
        | ~ c3_1(X168)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X169)
        | ~ c0_1(X169)
        | ~ c3_1(X169)
        | hskp21
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | ~ c2_1(X170)
        | ~ c3_1(X170)
        | hskp14
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X171)
        | c3_1(X171)
        | ~ c0_1(X171)
        | ~ ndr1_0
        | ~ c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X173)
        | c3_1(X173)
        | ~ c1_1(X173)
        | ~ ndr1_0
        | c2_1(X174)
        | ~ c0_1(X174)
        | ~ c3_1(X174)
        | hskp23 )
      & ( ~ ndr1_0
        | c2_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | hskp1
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176)
        | hskp29
        | hskp19 )
      & ( ~ ndr1_0
        | c2_1(X177)
        | ~ c0_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | ~ c0_1(X178)
        | ~ c1_1(X178)
        | ~ c3_1(X178)
        | hskp29 )
      & ( ~ ndr1_0
        | c3_1(X179)
        | ~ c1_1(X179)
        | ~ c2_1(X179)
        | hskp14
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X180)
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | hskp14
        | hskp15 )
      & ( ~ ndr1_0
        | c3_1(X181)
        | ~ c1_1(X181)
        | ~ c2_1(X181)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c0_1(X182)
        | ~ c1_1(X182)
        | ~ c3_1(X182)
        | ~ ndr1_0
        | ~ c1_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X184)
        | ~ c2_1(X184)
        | ~ c3_1(X184)
        | hskp23
        | hskp3 )
      & ( hskp28
        | hskp24
        | hskp20 )
      & ( hskp14
        | hskp12
        | hskp11 )
      & ( hskp14
        | hskp24 )
      & ( hskp27
        | hskp18
        | hskp9 )
      & ( hskp27
        | hskp17
        | hskp15 )
      & ( hskp23
        | hskp25
        | hskp5 )
      & ( hskp7
        | hskp5
        | hskp13 )
      & ( hskp13
        | hskp16
        | hskp19 ) ),
    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
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp14
    | hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | hskp2
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

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

cnf(c_0_9,negated_conjecture,
    ( epred30_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( c0_1(a833)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( c1_1(a833)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( c3_1(a833)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_13,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | hskp6
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_14,negated_conjecture,
    ( epred11_0
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).

cnf(c_0_15,negated_conjecture,
    ( c3_1(a856)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( epred30_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_20,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_21,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_23,negated_conjecture,
    ( epred21_0
    | hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]),c_0_8])]) ).

cnf(c_0_24,negated_conjecture,
    ( c1_1(a878)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    ( epred11_0
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ( epred30_0
    | hskp24
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_29,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_31,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( c2_1(X2)
        | hskp19
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_32,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_33,negated_conjecture,
    ( epred46_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

cnf(c_0_34,negated_conjecture,
    ( c2_1(a835)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_35,negated_conjecture,
    ( c3_1(a835)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ c0_1(a835)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_37,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_38,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c3_1(X2)
        | hskp9
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_39,negated_conjecture,
    ( epred20_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

cnf(c_0_40,negated_conjecture,
    ( c2_1(a817)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_42,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_22]),c_0_8])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_44,negated_conjecture,
    ( c2_1(a827)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_45,negated_conjecture,
    ( c1_1(a827)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ c0_1(a827)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_47,negated_conjecture,
    ( epred21_0
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_48,negated_conjecture,
    ( epred30_0
    | epred11_0
    | hskp24
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_49,negated_conjecture,
    ( c0_1(a826)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_50,negated_conjecture,
    ( c3_1(a826)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_51,negated_conjecture,
    ( epred35_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_52,negated_conjecture,
    ( c2_1(a826)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_53,negated_conjecture,
    ( epred22_0
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_8])]) ).

cnf(c_0_54,negated_conjecture,
    ( c1_1(a854)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ c0_1(a854)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ c2_1(a854)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ c0_1(a855)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c1_1(a855)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ c3_1(a855)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_60,negated_conjecture,
    ( epred34_0
    | hskp19
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_31]),c_0_8])]) ).

cnf(c_0_61,negated_conjecture,
    ( c1_1(a842)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_62,negated_conjecture,
    ( c0_1(a842)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_64,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_32]) ).

cnf(c_0_65,negated_conjecture,
    ( c2_1(a838)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_66,negated_conjecture,
    ( c0_1(a838)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c3_1(a838)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_68,negated_conjecture,
    ( epred46_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).

cnf(c_0_69,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_70,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_71,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_37]) ).

cnf(c_0_72,negated_conjecture,
    ( epred31_0
    | hskp9
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_8])]) ).

cnf(c_0_73,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_74,negated_conjecture,
    ( epred20_0
    | ~ hskp2
    | ~ c1_1(a817) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_75,negated_conjecture,
    ( epred1_0
    | c1_1(a817)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_76,negated_conjecture,
    ( epred20_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_77,negated_conjecture,
    ( epred30_0
    | epred21_0
    | epred11_0
    | hskp6
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_78,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp2
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_79,negated_conjecture,
    ( epred30_0
    | ~ hskp27
    | ~ c1_1(a826) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_49]),c_0_50]) ).

cnf(c_0_80,negated_conjecture,
    ( epred35_0
    | c1_1(a826)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_49]) ).

cnf(c_0_81,negated_conjecture,
    ( epred22_0
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).

cnf(c_0_82,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_83,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_84,negated_conjecture,
    ( epred1_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_58]),c_0_59]) ).

cnf(c_0_85,negated_conjecture,
    ( epred34_0
    | hskp19
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).

cnf(c_0_86,negated_conjecture,
    ( epred15_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]) ).

cnf(c_0_87,negated_conjecture,
    ( epred46_0
    | hskp14
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_89,negated_conjecture,
    ( epred2_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_70]) ).

cnf(c_0_90,negated_conjecture,
    ( c3_1(a831)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_92,negated_conjecture,
    ( epred23_0
    | ~ hskp14
    | ~ c3_1(a842) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_71]),c_0_62]) ).

cnf(c_0_93,negated_conjecture,
    ( epred31_0
    | hskp9
    | c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_62]),c_0_61]) ).

fof(c_0_94,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_95,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_73]) ).

cnf(c_0_96,negated_conjecture,
    ( epred20_0
    | epred1_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_97,negated_conjecture,
    ( epred30_0
    | epred21_0
    | epred20_0
    | epred11_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_98,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_78]) ).

cnf(c_0_99,negated_conjecture,
    ( epred35_0
    | epred30_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_100,negated_conjecture,
    ( epred22_0
    | hskp27
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_101,negated_conjecture,
    ( hskp27
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_8])]) ).

cnf(c_0_102,negated_conjecture,
    ( epred34_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_103,negated_conjecture,
    ( epred46_0
    | epred15_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_104,negated_conjecture,
    ( epred2_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).

cnf(c_0_105,negated_conjecture,
    ( epred31_0
    | epred23_0
    | hskp9
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_106,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_94]) ).

fof(c_0_107,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | hskp8
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_108,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_95,c_0_22]),c_0_70]) ).

cnf(c_0_110,negated_conjecture,
    ( epred30_0
    | epred21_0
    | epred20_0
    | epred11_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ epred11_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_98,c_0_7]),c_0_70]) ).

cnf(c_0_112,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred22_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

fof(c_0_113,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | hskp23
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_114,negated_conjecture,
    ( epred35_0
    | hskp27
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_101]) ).

fof(c_0_115,plain,
    ( ~ epred41_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_116,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_117,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp1
        | c2_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_119,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_120,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_121,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp7
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_122,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_123,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | hskp6
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_124,negated_conjecture,
    ( epred46_0
    | epred34_0
    | epred15_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_125,negated_conjecture,
    ( epred31_0
    | epred23_0
    | epred2_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

fof(c_0_126,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp20
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_127,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp3
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( epred35_0
    | epred6_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_106]) ).

cnf(c_0_129,negated_conjecture,
    ( c0_1(a820)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_131,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_132,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1)
        | hskp5
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_133,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_134,negated_conjecture,
    ( c3_1(a839)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_135,negated_conjecture,
    ( epred18_0
    | hskp8
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_107]),c_0_8])]) ).

cnf(c_0_136,negated_conjecture,
    ( c1_1(a839)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_137,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c2_1(X3)
        | ~ c1_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_138,plain,
    ( ~ epred54_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_139,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_140,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_142,negated_conjecture,
    ( c0_1(a828)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_144,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_145,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_146,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_147,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_148,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_149,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_108]) ).

cnf(c_0_150,negated_conjecture,
    ( epred30_0
    | epred21_0
    | epred20_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).

cnf(c_0_151,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred22_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_112]) ).

cnf(c_0_152,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_8])]) ).

fof(c_0_153,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( hskp8
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_154,negated_conjecture,
    ( c1_1(a825)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_156,negated_conjecture,
    ( epred35_0
    | epred1_0
    | hskp27
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_42]) ).

cnf(c_0_157,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp22
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_160,negated_conjecture,
    ( epred41_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_115]) ).

cnf(c_0_161,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_116]) ).

cnf(c_0_162,negated_conjecture,
    ( c0_1(X1)
    | hskp14
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_163,negated_conjecture,
    ( epred40_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_117]) ).

cnf(c_0_164,negated_conjecture,
    ( c2_1(a844)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ c1_1(a844)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_166,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_167,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_118]),c_0_8])]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_169,negated_conjecture,
    ( c2_1(a865)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_170,negated_conjecture,
    ( c1_1(a865)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ c3_1(a844)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_172,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_119]),c_0_8])]) ).

cnf(c_0_173,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_120]) ).

cnf(c_0_174,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_177,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_8])]) ).

cnf(c_0_178,negated_conjecture,
    ( epred45_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_122]),c_0_8])]) ).

cnf(c_0_179,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp4
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_180,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | hskp6
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_181,negated_conjecture,
    ( c0_1(X1)
    | hskp15
    | hskp8
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_182,negated_conjecture,
    ( c1_1(X1)
    | hskp21
    | hskp13
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_183,negated_conjecture,
    ( c2_1(X1)
    | hskp29
    | hskp19
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_185,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_186,plain,
    ( ~ epred43_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_187,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_188,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c2_1(X1)
        | hskp29
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_189,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[c_0_123]) ).

cnf(c_0_190,negated_conjecture,
    ( epred46_0
    | epred34_0
    | epred15_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_124]) ).

cnf(c_0_191,negated_conjecture,
    ( epred46_0
    | epred31_0
    | epred23_0
    | epred15_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_125,c_0_103]) ).

cnf(c_0_192,negated_conjecture,
    ( epred36_0
    | hskp20
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_8])]) ).

cnf(c_0_193,negated_conjecture,
    ( c0_1(a862)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_194,negated_conjecture,
    ( c3_1(a862)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_196,negated_conjecture,
    ( epred19_0
    | hskp3
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_8])]) ).

cnf(c_0_197,negated_conjecture,
    ( epred35_0
    | epred6_0
    | epred1_0
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_42]) ).

cnf(c_0_198,negated_conjecture,
    ( epred35_0
    | epred6_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_199,negated_conjecture,
    ( epred30_0
    | ~ hskp14
    | ~ c3_1(a842) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_62]),c_0_61]) ).

cnf(c_0_200,negated_conjecture,
    ( c0_1(a857)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_202,negated_conjecture,
    ( epred24_0
    | hskp9
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_8])]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_204,negated_conjecture,
    ( c0_1(a818)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_205,negated_conjecture,
    ( c1_1(a818)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_206,negated_conjecture,
    ( epred9_0
    | hskp5
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_8])]) ).

cnf(c_0_207,negated_conjecture,
    ( epred23_0
    | ~ hskp13
    | ~ c0_1(a839) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_71]),c_0_134]) ).

cnf(c_0_208,negated_conjecture,
    ( epred18_0
    | hskp8
    | c0_1(a839)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_133]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_210,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_137]) ).

cnf(c_0_211,negated_conjecture,
    ( c3_1(a816)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_212,negated_conjecture,
    ( epred54_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_138]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_214,plain,
    ( ~ epred51_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_215,negated_conjecture,
    ( epred44_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_139]) ).

fof(c_0_216,plain,
    ( ~ epred42_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_217,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_219,negated_conjecture,
    ( c2_1(a821)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_220,negated_conjecture,
    ( epred32_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_140]) ).

cnf(c_0_221,negated_conjecture,
    ( c3_1(a825)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_222,negated_conjecture,
    ( epred6_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_106]),c_0_142]),c_0_143]) ).

cnf(c_0_223,negated_conjecture,
    ( hskp7
    | hskp5
    | hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_224,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_144]) ).

cnf(c_0_225,negated_conjecture,
    ( epred53_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_8])]) ).

cnf(c_0_226,negated_conjecture,
    ( epred52_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_8])]) ).

cnf(c_0_227,negated_conjecture,
    ( epred47_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_147]),c_0_8])]) ).

cnf(c_0_228,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_229,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_230,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_231,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_232,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_233,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_234,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_235,negated_conjecture,
    ( hskp8
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_236,negated_conjecture,
    ( c2_1(X1)
    | hskp29
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ 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_237,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_238,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp19
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_239,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | hskp9
    | ~ 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_240,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp23
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_241,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp9
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_242,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp9
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_243,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | hskp3
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_244,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_245,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_246,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_247,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp0
    | ~ ndr1_0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_149,c_0_147]),c_0_148]),c_0_21]) ).

cnf(c_0_249,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred22_0
    | epred21_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_250,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(a878)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_24]),c_0_26]) ).

cnf(c_0_251,negated_conjecture,
    ( epred38_0
    | hskp8
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_8])]) ).

cnf(c_0_252,negated_conjecture,
    ( epred22_0
    | hskp9
    | c2_1(a825)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_154]),c_0_155]) ).

cnf(c_0_253,negated_conjecture,
    ( epred22_0
    | hskp9
    | c2_1(a878)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_24]),c_0_25]) ).

cnf(c_0_254,negated_conjecture,
    ( epred18_0
    | hskp8
    | c2_1(a878)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_24]),c_0_25]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_256,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred1_0
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_156]) ).

cnf(c_0_257,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_8])]) ).

cnf(c_0_258,negated_conjecture,
    ( hskp27
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_101]),c_0_159]) ).

cnf(c_0_259,negated_conjecture,
    ( epred41_0
    | epred10_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_260,negated_conjecture,
    ( c0_1(a815)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_261,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_8])]) ).

cnf(c_0_262,negated_conjecture,
    ( epred41_0
    | c3_1(a827)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_44]),c_0_45]) ).

cnf(c_0_263,negated_conjecture,
    ( epred40_0
    | c3_1(a827)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_44]),c_0_46]) ).

cnf(c_0_264,negated_conjecture,
    ( epred35_0
    | epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_161]) ).

cnf(c_0_265,negated_conjecture,
    ( epred35_0
    | ~ hskp15
    | ~ c0_1(a844) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_164]),c_0_165]) ).

cnf(c_0_266,negated_conjecture,
    ( hskp26
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_8])]) ).

cnf(c_0_267,negated_conjecture,
    ( epred5_0
    | hskp1
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_167]),c_0_168]) ).

cnf(c_0_268,negated_conjecture,
    ( epred20_0
    | c0_1(a865)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_169]),c_0_170]) ).

cnf(c_0_269,negated_conjecture,
    ( epred15_0
    | epred6_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_106]) ).

cnf(c_0_270,negated_conjecture,
    ( epred15_0
    | ~ hskp15
    | ~ c0_1(a844) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_164]),c_0_171]) ).

cnf(c_0_271,negated_conjecture,
    ( epred3_0
    | c1_1(a830)
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_172]),c_0_168]) ).

cnf(c_0_272,negated_conjecture,
    ( epred4_0
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_173]),c_0_159]) ).

cnf(c_0_273,negated_conjecture,
    ( epred1_0
    | c1_1(a830)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_42]),c_0_159]) ).

cnf(c_0_274,negated_conjecture,
    ( hskp13
    | hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_8])]) ).

cnf(c_0_275,negated_conjecture,
    ( epred1_0
    | c3_1(a860)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_42]),c_0_176]) ).

cnf(c_0_276,negated_conjecture,
    ( epred45_0
    | hskp14
    | hskp7
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_277,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_8])]) ).

cnf(c_0_278,negated_conjecture,
    ( hskp27
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_8])]) ).

cnf(c_0_279,negated_conjecture,
    ( hskp15
    | hskp8
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_8])]) ).

cnf(c_0_280,negated_conjecture,
    ( hskp21
    | hskp13
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_8])]) ).

cnf(c_0_281,negated_conjecture,
    ( c0_1(a816)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_282,negated_conjecture,
    ( hskp29
    | hskp19
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_8])]) ).

cnf(c_0_283,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_8])]) ).

cnf(c_0_284,negated_conjecture,
    ( c2_1(a818)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_285,negated_conjecture,
    ( epred49_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_185]),c_0_8])]) ).

cnf(c_0_286,negated_conjecture,
    ( epred43_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_186]),c_0_8])]) ).

cnf(c_0_287,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_8])]) ).

cnf(c_0_288,negated_conjecture,
    ( epred37_0
    | hskp29
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_188]),c_0_8])]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ epred21_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_189,c_0_13]),c_0_32]) ).

cnf(c_0_290,negated_conjecture,
    ( epred46_0
    | epred34_0
    | epred31_0
    | epred23_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_291,negated_conjecture,
    ( epred36_0
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]) ).

cnf(c_0_292,negated_conjecture,
    ( epred35_0
    | epred19_0
    | epred6_0
    | epred1_0
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_128]),c_0_198]) ).

cnf(c_0_293,negated_conjecture,
    ( c1_1(a815)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_295,negated_conjecture,
    ( epred31_0
    | epred30_0
    | hskp9
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_199,c_0_93]) ).

cnf(c_0_296,negated_conjecture,
    ( epred31_0
    | hskp9
    | ~ hskp21
    | ~ c1_1(a857) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_200]),c_0_201]) ).

cnf(c_0_297,negated_conjecture,
    ( epred24_0
    | hskp9
    | c1_1(a857)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_200]),c_0_203]) ).

cnf(c_0_298,negated_conjecture,
    ( epred30_0
    | ~ hskp26
    | ~ c3_1(a818) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_204]),c_0_205]) ).

cnf(c_0_299,negated_conjecture,
    ( epred31_0
    | hskp9
    | c3_1(a818)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_204]),c_0_205]) ).

cnf(c_0_300,negated_conjecture,
    ( epred21_0
    | hskp14
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_47,c_0_4]) ).

cnf(c_0_301,negated_conjecture,
    ( epred9_0
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_206]),c_0_168]),c_0_159]) ).

cnf(c_0_302,negated_conjecture,
    ( epred23_0
    | epred18_0
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_303,negated_conjecture,
    ( epred50_0
    | ~ hskp1
    | ~ c1_1(a816) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).

cnf(c_0_304,negated_conjecture,
    ( epred54_0
    | c1_1(a816)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_212]),c_0_211]) ).

cnf(c_0_305,negated_conjecture,
    ( epred54_0
    | ~ hskp22
    | ~ c3_1(a860) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_176]) ).

cnf(c_0_306,negated_conjecture,
    ( epred51_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_214]) ).

cnf(c_0_307,negated_conjecture,
    ( epred48_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_148]) ).

cnf(c_0_308,negated_conjecture,
    ( epred44_0
    | c0_1(a844)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_164]),c_0_165]) ).

cnf(c_0_309,negated_conjecture,
    ( epred42_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_216]) ).

cnf(c_0_310,negated_conjecture,
    ( c3_1(a865)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_311,negated_conjecture,
    ( epred2_0
    | ~ hskp4
    | ~ c3_1(a821) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_89]),c_0_218]) ).

cnf(c_0_312,negated_conjecture,
    ( epred40_0
    | c3_1(a821)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_219]),c_0_217]) ).

cnf(c_0_313,negated_conjecture,
    ( epred32_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_220]),c_0_154]),c_0_221]) ).

cnf(c_0_314,negated_conjecture,
    ( epred6_0
    | hskp13
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_315,negated_conjecture,
    ( epred10_0
    | c3_1(a842)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_161]),c_0_62]) ).

cnf(c_0_316,negated_conjecture,
    ( epred23_0
    | ~ hskp7
    | ~ c3_1(a828) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_71]),c_0_142]) ).

cnf(c_0_317,negated_conjecture,
    ( epred10_0
    | c3_1(a828)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_161]),c_0_142]) ).

cnf(c_0_318,negated_conjecture,
    ( epred17_0
    | ~ hskp4
    | ~ c3_1(a821) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_219]),c_0_218]) ).

cnf(c_0_319,negated_conjecture,
    ( epred1_0
    | c3_1(a821)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_42]),c_0_218]) ).

cnf(c_0_320,negated_conjecture,
    ( epred2_0
    | ~ hskp22
    | ~ c3_1(a860) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_89]),c_0_176]) ).

cnf(c_0_321,negated_conjecture,
    ( epred53_0
    | epred35_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_225]) ).

cnf(c_0_322,negated_conjecture,
    ( epred52_0
    | epred20_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_226]) ).

cnf(c_0_323,negated_conjecture,
    ( epred47_0
    | epred17_0
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_227]) ).

cnf(c_0_324,negated_conjecture,
    ( c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_228]) ).

cnf(c_0_325,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X3)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_229]) ).

cnf(c_0_326,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_230]) ).

cnf(c_0_327,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_231]) ).

cnf(c_0_328,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_232]) ).

cnf(c_0_329,negated_conjecture,
    ( c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[c_0_233]) ).

cnf(c_0_330,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_234]) ).

cnf(c_0_331,negated_conjecture,
    ( hskp8
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[c_0_235]) ).

cnf(c_0_332,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_236]) ).

cnf(c_0_333,negated_conjecture,
    ( hskp20
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[c_0_237]) ).

cnf(c_0_334,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_238]) ).

cnf(c_0_335,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_239]) ).

cnf(c_0_336,negated_conjecture,
    ( hskp23
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_240]) ).

cnf(c_0_337,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_241]) ).

cnf(c_0_338,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_242]) ).

cnf(c_0_339,negated_conjecture,
    ( hskp3
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[c_0_243]) ).

cnf(c_0_340,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_244]) ).

cnf(c_0_341,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_245]) ).

cnf(c_0_342,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_246]) ).

cnf(c_0_343,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0 ),
    inference(cn,[status(thm)],[c_0_247]) ).

cnf(c_0_344,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred22_0
    | epred21_0
    | ~ epred48_0
    | ~ epred47_0 ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_345,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(a878)
    | epred26_0
    | hskp23
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_177,c_0_250]) ).

cnf(c_0_346,negated_conjecture,
    ( epred38_0
    | hskp8
    | epred22_0
    | hskp9
    | ~ c3_1(a825)
    | ~ c1_1(a825)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_347,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(a878)
    | epred22_0
    | hskp9
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_177,c_0_253]) ).

cnf(c_0_348,negated_conjecture,
    ( epred30_0
    | epred18_0
    | hskp8
    | ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_9,c_0_208]) ).

cnf(c_0_349,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(a878)
    | epred18_0
    | hskp8
    | ~ c1_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_177,c_0_254]) ).

cnf(c_0_350,negated_conjecture,
    ( epred35_0
    | epred30_0
    | epred1_0
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_351,negated_conjecture,
    ( hskp22
    | c2_1(a830)
    | hskp1
    | c3_1(a830)
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_352,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(a830)
    | c3_1(a830)
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_152,c_0_258]) ).

cnf(c_0_353,negated_conjecture,
    ( epred41_0
    | epred10_0
    | c3_1(a815)
    | ~ c1_1(a815)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_354,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(a827)
    | epred41_0
    | ~ c1_1(a827)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_355,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(a827)
    | epred40_0
    | ~ c1_1(a827)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_261,c_0_263]) ).

cnf(c_0_356,negated_conjecture,
    ( epred35_0
    | epred10_0
    | c3_1(a820)
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_264,c_0_129]) ).

cnf(c_0_357,negated_conjecture,
    ( epred35_0
    | hskp26
    | c3_1(a844)
    | c1_1(a844)
    | hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_358,negated_conjecture,
    ( epred35_0
    | epred1_0
    | c3_1(a844)
    | c1_1(a844)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_265,c_0_42]) ).

cnf(c_0_359,negated_conjecture,
    ( epred23_0
    | epred32_0
    | ~ hskp13
    | ~ c3_1(a839)
    | ~ c1_1(a839) ),
    inference(spm,[status(thm)],[c_0_207,c_0_220]) ).

cnf(c_0_360,negated_conjecture,
    ( hskp22
    | c2_1(a830)
    | hskp1
    | c3_1(a830)
    | epred5_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_257,c_0_267]) ).

cnf(c_0_361,negated_conjecture,
    ( epred30_0
    | epred20_0
    | ~ c3_1(a865)
    | ~ c1_1(a865)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_9,c_0_268]) ).

cnf(c_0_362,negated_conjecture,
    ( epred15_0
    | epred6_0
    | c3_1(a820)
    | c1_1(a820)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_269,c_0_129]) ).

cnf(c_0_363,negated_conjecture,
    ( epred15_0
    | epred1_0
    | c3_1(a844)
    | c1_1(a844)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_270,c_0_42]) ).

cnf(c_0_364,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(a830)
    | c3_1(a830)
    | epred3_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_152,c_0_271]) ).

cnf(c_0_365,negated_conjecture,
    ( epred22_0
    | hskp9
    | c2_1(a830)
    | c0_1(a830)
    | epred3_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_53,c_0_271]) ).

cnf(c_0_366,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(a830)
    | c3_1(a830)
    | epred4_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_152,c_0_272]) ).

cnf(c_0_367,negated_conjecture,
    ( hskp22
    | c2_1(a830)
    | hskp1
    | c3_1(a830)
    | epred1_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_257,c_0_273]) ).

cnf(c_0_368,negated_conjecture,
    ( hskp13
    | hskp12
    | c3_1(a830)
    | c0_1(a830)
    | epred1_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_274,c_0_273]) ).

cnf(c_0_369,negated_conjecture,
    ( epred26_0
    | hskp23
    | c2_1(a830)
    | c3_1(a830)
    | epred1_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_152,c_0_273]) ).

cnf(c_0_370,negated_conjecture,
    ( epred11_0
    | hskp2
    | c2_1(a860)
    | c1_1(a860)
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_14,c_0_275]) ).

cnf(c_0_371,negated_conjecture,
    ( epred45_0
    | hskp14
    | hskp7
    | c3_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_276,c_0_24]) ).

cnf(c_0_372,negated_conjecture,
    ( hskp26
    | c3_1(a821)
    | c1_1(a821)
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_217,c_0_266]) ).

cnf(c_0_373,negated_conjecture,
    ( hskp7
    | hskp4
    | c3_1(a830)
    | c0_1(a830)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_158,c_0_277]) ).

cnf(c_0_374,negated_conjecture,
    ( hskp27
    | hskp6
    | c3_1(a830)
    | c0_1(a830)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_158,c_0_278]) ).

cnf(c_0_375,negated_conjecture,
    ( hskp22
    | c2_1(a842)
    | hskp1
    | c3_1(a842)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_257,c_0_61]) ).

cnf(c_0_376,negated_conjecture,
    ( hskp13
    | hskp12
    | c3_1(a878)
    | c0_1(a878)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_274,c_0_24]) ).

cnf(c_0_377,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(a817)
    | ~ c1_1(a817)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_177,c_0_40]) ).

cnf(c_0_378,negated_conjecture,
    ( hskp14
    | hskp7
    | c3_1(a827)
    | ~ c1_1(a827)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_177,c_0_44]) ).

cnf(c_0_379,negated_conjecture,
    ( hskp15
    | hskp8
    | c0_1(a825)
    | ~ c1_1(a825)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_279,c_0_221]) ).

cnf(c_0_380,negated_conjecture,
    ( hskp15
    | hskp8
    | c0_1(a839)
    | ~ c1_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_279,c_0_134]) ).

cnf(c_0_381,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(a825)
    | ~ c1_1(a825)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_261,c_0_221]) ).

cnf(c_0_382,negated_conjecture,
    ( hskp21
    | hskp13
    | c1_1(a816)
    | ~ c3_1(a816)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_383,negated_conjecture,
    ( hskp21
    | hskp13
    | c1_1(a828)
    | ~ c3_1(a828)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_280,c_0_142]) ).

cnf(c_0_384,negated_conjecture,
    ( hskp21
    | hskp13
    | c1_1(a862)
    | ~ c3_1(a862)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_280,c_0_193]) ).

cnf(c_0_385,negated_conjecture,
    ( hskp29
    | hskp19
    | c2_1(a839)
    | ~ c0_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_282,c_0_136]) ).

cnf(c_0_386,negated_conjecture,
    ( hskp29
    | hskp19
    | c2_1(a842)
    | ~ c0_1(a842)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_282,c_0_61]) ).

cnf(c_0_387,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ c3_1(a818)
    | ~ c0_1(a818)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_388,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ c3_1(a826)
    | ~ c0_1(a826)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_283,c_0_52]) ).

cnf(c_0_389,negated_conjecture,
    ( epred53_0
    | c1_1(a828)
    | ~ hskp7
    | ~ c0_1(a828) ),
    inference(spm,[status(thm)],[c_0_141,c_0_225]) ).

cnf(c_0_390,negated_conjecture,
    ( epred52_0
    | c0_1(a830)
    | ~ hskp8
    | ~ c1_1(a830) ),
    inference(spm,[status(thm)],[c_0_158,c_0_226]) ).

cnf(c_0_391,negated_conjecture,
    ( epred52_0
    | c0_1(a839)
    | ~ hskp13
    | ~ c1_1(a839) ),
    inference(spm,[status(thm)],[c_0_133,c_0_226]) ).

cnf(c_0_392,negated_conjecture,
    ( epred49_0
    | c0_1(a839)
    | ~ hskp13
    | ~ c3_1(a839) ),
    inference(spm,[status(thm)],[c_0_133,c_0_285]) ).

cnf(c_0_393,negated_conjecture,
    ( epred47_0
    | c1_1(a816)
    | ~ hskp1
    | ~ c3_1(a816) ),
    inference(spm,[status(thm)],[c_0_209,c_0_227]) ).

cnf(c_0_394,negated_conjecture,
    ( epred47_0
    | c1_1(a828)
    | ~ hskp7
    | ~ c3_1(a828) ),
    inference(spm,[status(thm)],[c_0_141,c_0_227]) ).

cnf(c_0_395,negated_conjecture,
    ( epred47_0
    | c1_1(a856)
    | ~ hskp20
    | ~ c3_1(a856) ),
    inference(spm,[status(thm)],[c_0_17,c_0_227]) ).

cnf(c_0_396,negated_conjecture,
    ( epred43_0
    | c3_1(a842)
    | ~ c1_1(a842)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_286,c_0_62]) ).

cnf(c_0_397,negated_conjecture,
    ( epred43_0
    | c3_1(a857)
    | ~ c1_1(a857)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_286,c_0_200]) ).

cnf(c_0_398,negated_conjecture,
    ( epred38_0
    | hskp8
    | ~ c3_1(a818)
    | ~ c1_1(a818)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_251,c_0_284]) ).

cnf(c_0_399,negated_conjecture,
    ( epred38_0
    | hskp8
    | ~ c3_1(a826)
    | ~ c1_1(a826)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_251,c_0_52]) ).

cnf(c_0_400,negated_conjecture,
    ( epred38_0
    | hskp8
    | ~ c3_1(a865)
    | ~ c1_1(a865)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_251,c_0_169]) ).

cnf(c_0_401,negated_conjecture,
    ( epred39_0
    | c3_1(a828)
    | c1_1(a828)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_141,c_0_287]) ).

cnf(c_0_402,negated_conjecture,
    ( epred39_0
    | c3_1(a830)
    | c1_1(a830)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_158,c_0_287]) ).

cnf(c_0_403,negated_conjecture,
    ( epred39_0
    | c3_1(a857)
    | c1_1(a857)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_203,c_0_287]) ).

cnf(c_0_404,negated_conjecture,
    ( epred37_0
    | hskp29
    | c2_1(a839)
    | ~ c0_1(a839)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_288,c_0_134]) ).

cnf(c_0_405,negated_conjecture,
    ( epred46_0
    | epred34_0
    | epred31_0
    | epred23_0
    | ~ epred21_0 ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_406,negated_conjecture,
    ( epred36_0
    | epred11_0
    | hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_27,c_0_291]) ).

cnf(c_0_407,negated_conjecture,
    ( epred35_0
    | epred19_0
    | epred6_0
    | epred1_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_218,c_0_292]) ).

cnf(c_0_408,negated_conjecture,
    ( epred34_0
    | hskp19
    | ~ hskp13
    | ~ c0_1(a839) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_136]),c_0_133]) ).

cnf(c_0_409,negated_conjecture,
    ( epred31_0
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_260]),c_0_293]),c_0_294]) ).

cnf(c_0_410,negated_conjecture,
    ( epred31_0
    | epred30_0
    | epred2_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_104,c_0_295]) ).

cnf(c_0_411,negated_conjecture,
    ( epred31_0
    | epred24_0
    | hskp9
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_412,negated_conjecture,
    ( epred31_0
    | epred30_0
    | hskp9
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_413,negated_conjecture,
    ( epred24_0
    | hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_142]),c_0_143]),c_0_141]) ).

cnf(c_0_414,negated_conjecture,
    ( epred21_0
    | epred20_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_76,c_0_300]) ).

cnf(c_0_415,negated_conjecture,
    ( epred19_0
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_90]),c_0_88]),c_0_91]) ).

cnf(c_0_416,negated_conjecture,
    ( epred23_0
    | epred18_0
    | epred9_0
    | hskp5
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_417,negated_conjecture,
    ( epred54_0
    | epred50_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_418,negated_conjecture,
    ( epred54_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_305,c_0_275]) ).

cnf(c_0_419,negated_conjecture,
    ( epred51_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_193]),c_0_194]),c_0_195]) ).

cnf(c_0_420,negated_conjecture,
    ( epred50_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_210]),c_0_136]),c_0_134]) ).

cnf(c_0_421,negated_conjecture,
    ( epred48_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_307]),c_0_62]),c_0_61]) ).

cnf(c_0_422,negated_conjecture,
    ( epred48_0
    | ~ hskp21
    | ~ c1_1(a857) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_307]),c_0_200]) ).

cnf(c_0_423,negated_conjecture,
    ( epred46_0
    | ~ hskp6
    | ~ c3_1(a827) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_44]),c_0_46]) ).

cnf(c_0_424,negated_conjecture,
    ( epred44_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_219]),c_0_217]),c_0_218]) ).

cnf(c_0_425,negated_conjecture,
    ( epred44_0
    | epred35_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_265,c_0_308]) ).

cnf(c_0_426,negated_conjecture,
    ( epred42_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_169]),c_0_170]),c_0_310]) ).

cnf(c_0_427,negated_conjecture,
    ( epred40_0
    | epred2_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_428,negated_conjecture,
    ( epred32_0
    | epred6_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_429,negated_conjecture,
    ( epred30_0
    | epred10_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_199,c_0_315]) ).

cnf(c_0_430,negated_conjecture,
    ( epred23_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_71]),c_0_281]),c_0_211]) ).

cnf(c_0_431,negated_conjecture,
    ( epred23_0
    | epred10_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_432,negated_conjecture,
    ( epred23_0
    | epred10_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_92,c_0_315]) ).

cnf(c_0_433,negated_conjecture,
    ( epred17_0
    | epred1_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_434,negated_conjecture,
    ( epred5_0
    | hskp1
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_167]),c_0_175]),c_0_176]) ).

cnf(c_0_435,negated_conjecture,
    ( epred10_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_161]),c_0_200]),c_0_201]) ).

cnf(c_0_436,negated_conjecture,
    ( epred6_0
    | c1_1(a857)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_106]),c_0_200]) ).

cnf(c_0_437,negated_conjecture,
    ( epred2_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_320,c_0_275]) ).

cnf(c_0_438,negated_conjecture,
    ( epred53_0
    | epred35_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_129]),c_0_130]) ).

cnf(c_0_439,negated_conjecture,
    ( epred52_0
    | epred20_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_322]),c_0_154]) ).

cnf(c_0_440,negated_conjecture,
    ( epred52_0
    | epred20_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_322]),c_0_24]) ).

cnf(c_0_441,negated_conjecture,
    ( epred47_0
    | epred17_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_194]),c_0_195]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ epred54_0
    | ~ epred53_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_324,c_0_145]),c_0_138]),c_0_6]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ epred52_0
    | ~ epred50_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_325,c_0_146]),c_0_37]),c_0_137]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ epred51_0
    | ~ epred50_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_326,c_0_185]),c_0_137]),c_0_214]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_327,c_0_122]),c_0_29]),c_0_20]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_328,c_0_186]),c_0_139]),c_0_140]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ epred42_0
    | ~ epred39_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_329,c_0_187]),c_0_94]),c_0_216]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_330,c_0_187]),c_0_117]),c_0_115]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ epred38_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_331,c_0_153]),c_0_6]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ epred37_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_332,c_0_188]),c_0_6]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ epred36_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_333,c_0_126]),c_0_144]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_334,c_0_31]),c_0_29]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_335,c_0_38]),c_0_140]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ epred26_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_336,c_0_113]),c_0_37]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_337,c_0_131]),c_0_37]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_338,c_0_30]),c_0_37]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_339,c_0_127]),c_0_21]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ epred18_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_340,c_0_107]),c_0_116]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_341,c_0_132]),c_0_116]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_342,c_0_118]),c_0_94]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_343,c_0_119]),c_0_120]) ).

cnf(c_0_462,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_291,c_0_407,c_0_408,c_0_102,c_0_409,c_0_410,c_0_125,c_0_411,c_0_412,c_0_299,c_0_413,c_0_414,c_0_47,c_0_415,c_0_416,c_0_302,c_0_208,c_0_417,c_0_301,c_0_418,c_0_419,c_0_303,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_80,c_0_428,c_0_313,c_0_429,c_0_430,c_0_431,c_0_207,c_0_432,c_0_92,c_0_76,c_0_433,c_0_434,c_0_86,c_0_435,c_0_314,c_0_222,c_0_436,c_0_272,c_0_311,c_0_104,c_0_437,c_0_75,c_0_273,c_0_84,c_0_438,c_0_439,c_0_440,c_0_441,c_0_198,c_0_442,c_0_443,c_0_444,c_0_248,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_289,c_0_457,c_0_458,c_0_111,c_0_459,c_0_460,c_0_461,c_0_109,c_0_26,c_0_25,c_0_195,c_0_213,c_0_176,c_0_201,c_0_16,c_0_171,c_0_165,c_0_63,c_0_133,c_0_158,c_0_159,c_0_168,c_0_143,c_0_46,c_0_155,c_0_218,c_0_255,c_0_130,c_0_43,c_0_294,c_0_310,c_0_50,c_0_194,c_0_15,c_0_134,c_0_221,c_0_211,c_0_170,c_0_205,c_0_24,c_0_61,c_0_136,c_0_45,c_0_154,c_0_293,c_0_49,c_0_204,c_0_62,c_0_142,c_0_223,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 21:48:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 1.67/1.74  % Version  : CSE_E---1.5
% 1.67/1.74  % Problem  : theBenchmark.p
% 1.67/1.74  % Proof found
% 1.67/1.74  % SZS status Theorem for theBenchmark.p
% 1.67/1.74  % SZS output start Proof
% See solution above
% 1.67/1.77  % Total time : 1.156000 s
% 1.67/1.77  % SZS output end Proof
% 1.67/1.77  % Total time : 1.162000 s
%------------------------------------------------------------------------------