TSTP Solution File: SYN469-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN469-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:52:09 EDT 2023

% Result   : Unsatisfiable 4.61s 4.74s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  295
% Syntax   : Number of formulae    :  854 (   2 unt; 114 typ;   0 def)
%            Number of atoms       : 2850 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3340 (1230   ~;2066   |;   0   &)
%                                         (  44 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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  :   86 (  85 usr;  82 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  276 (   0 sgn;  44   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp28: $o ).

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

tff(decl_24,type,
    hskp27: $o ).

tff(decl_25,type,
    hskp26: $o ).

tff(decl_26,type,
    hskp25: $o ).

tff(decl_27,type,
    hskp24: $o ).

tff(decl_28,type,
    hskp23: $o ).

tff(decl_29,type,
    hskp22: $o ).

tff(decl_30,type,
    hskp21: $o ).

tff(decl_31,type,
    hskp20: $o ).

tff(decl_32,type,
    hskp19: $o ).

tff(decl_33,type,
    hskp18: $o ).

tff(decl_34,type,
    hskp17: $o ).

tff(decl_35,type,
    hskp16: $o ).

tff(decl_36,type,
    hskp15: $o ).

tff(decl_37,type,
    hskp14: $o ).

tff(decl_38,type,
    hskp13: $o ).

tff(decl_39,type,
    hskp12: $o ).

tff(decl_40,type,
    hskp11: $o ).

tff(decl_41,type,
    hskp10: $o ).

tff(decl_42,type,
    hskp9: $o ).

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

tff(decl_44,type,
    hskp7: $o ).

tff(decl_45,type,
    hskp6: $o ).

tff(decl_46,type,
    hskp5: $o ).

tff(decl_47,type,
    hskp4: $o ).

tff(decl_48,type,
    hskp3: $o ).

tff(decl_49,type,
    hskp2: $o ).

tff(decl_50,type,
    hskp1: $o ).

tff(decl_51,type,
    hskp0: $o ).

tff(decl_52,type,
    a414: $i ).

tff(decl_53,type,
    c0_1: $i > $o ).

tff(decl_54,type,
    c2_1: $i > $o ).

tff(decl_55,type,
    c3_1: $i > $o ).

tff(decl_56,type,
    a412: $i ).

tff(decl_57,type,
    c1_1: $i > $o ).

tff(decl_58,type,
    a407: $i ).

tff(decl_59,type,
    a405: $i ).

tff(decl_60,type,
    a477: $i ).

tff(decl_61,type,
    a460: $i ).

tff(decl_62,type,
    a451: $i ).

tff(decl_63,type,
    a449: $i ).

tff(decl_64,type,
    a445: $i ).

tff(decl_65,type,
    a440: $i ).

tff(decl_66,type,
    a434: $i ).

tff(decl_67,type,
    a430: $i ).

tff(decl_68,type,
    a428: $i ).

tff(decl_69,type,
    a427: $i ).

tff(decl_70,type,
    a426: $i ).

tff(decl_71,type,
    a418: $i ).

tff(decl_72,type,
    a416: $i ).

tff(decl_73,type,
    a415: $i ).

tff(decl_74,type,
    a410: $i ).

tff(decl_75,type,
    a409: $i ).

tff(decl_76,type,
    a408: $i ).

tff(decl_77,type,
    a404: $i ).

tff(decl_78,type,
    a402: $i ).

tff(decl_79,type,
    a401: $i ).

tff(decl_80,type,
    a400: $i ).

tff(decl_81,type,
    a450: $i ).

tff(decl_82,type,
    a439: $i ).

tff(decl_83,type,
    a420: $i ).

tff(decl_84,type,
    a403: $i ).

tff(decl_85,type,
    epred1_0: $o ).

tff(decl_86,type,
    epred2_0: $o ).

tff(decl_87,type,
    epred3_0: $o ).

tff(decl_88,type,
    epred4_0: $o ).

tff(decl_89,type,
    epred5_0: $o ).

tff(decl_90,type,
    epred6_0: $o ).

tff(decl_91,type,
    epred7_0: $o ).

tff(decl_92,type,
    epred8_0: $o ).

tff(decl_93,type,
    epred9_0: $o ).

tff(decl_94,type,
    epred10_0: $o ).

tff(decl_95,type,
    epred11_0: $o ).

tff(decl_96,type,
    epred12_0: $o ).

tff(decl_97,type,
    epred13_0: $o ).

tff(decl_98,type,
    epred14_0: $o ).

tff(decl_99,type,
    epred15_0: $o ).

tff(decl_100,type,
    epred16_0: $o ).

tff(decl_101,type,
    epred17_0: $o ).

tff(decl_102,type,
    epred18_0: $o ).

tff(decl_103,type,
    epred19_0: $o ).

tff(decl_104,type,
    epred20_0: $o ).

tff(decl_105,type,
    epred21_0: $o ).

tff(decl_106,type,
    epred22_0: $o ).

tff(decl_107,type,
    epred23_0: $o ).

tff(decl_108,type,
    epred24_0: $o ).

tff(decl_109,type,
    epred25_0: $o ).

tff(decl_110,type,
    epred26_0: $o ).

tff(decl_111,type,
    epred27_0: $o ).

tff(decl_112,type,
    epred28_0: $o ).

tff(decl_113,type,
    epred29_0: $o ).

tff(decl_114,type,
    epred30_0: $o ).

tff(decl_115,type,
    epred31_0: $o ).

tff(decl_116,type,
    epred32_0: $o ).

tff(decl_117,type,
    epred33_0: $o ).

tff(decl_118,type,
    epred34_0: $o ).

tff(decl_119,type,
    epred35_0: $o ).

tff(decl_120,type,
    epred36_0: $o ).

tff(decl_121,type,
    epred37_0: $o ).

tff(decl_122,type,
    epred38_0: $o ).

tff(decl_123,type,
    epred39_0: $o ).

tff(decl_124,type,
    epred40_0: $o ).

tff(decl_125,type,
    epred41_0: $o ).

tff(decl_126,type,
    epred42_0: $o ).

tff(decl_127,type,
    epred43_0: $o ).

tff(decl_128,type,
    epred44_0: $o ).

tff(decl_129,type,
    epred45_0: $o ).

tff(decl_130,type,
    epred46_0: $o ).

tff(decl_131,type,
    epred47_0: $o ).

tff(decl_132,type,
    epred48_0: $o ).

tff(decl_133,type,
    epred49_0: $o ).

tff(decl_134,type,
    epred50_0: $o ).

tff(decl_135,type,
    epred51_0: $o ).

cnf(clause8,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

cnf(clause30,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(clause4,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause149,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause141,negated_conjecture,
    ( c2_1(X1)
    | hskp12
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause43,negated_conjecture,
    ( c0_1(a405)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause45,negated_conjecture,
    ( c3_1(a405)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(clause71,negated_conjecture,
    ( c0_1(a404)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause72,negated_conjecture,
    ( c3_1(a404)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause113,negated_conjecture,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause143,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(clause131,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp11
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(clause130,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(clause50,negated_conjecture,
    ( c1_1(a449)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause51,negated_conjecture,
    ( c3_1(a449)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause86,negated_conjecture,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause134,negated_conjecture,
    ( c3_1(X1)
    | hskp20
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(clause121,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | hskp2
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause133,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause54,negated_conjecture,
    ( c0_1(a440)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause88,negated_conjecture,
    ( ~ c2_1(a440)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause89,negated_conjecture,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause146,negated_conjecture,
    ( c3_1(X1)
    | hskp12
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(clause73,negated_conjecture,
    ( c0_1(a402)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause118,negated_conjecture,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause117,negated_conjecture,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause34,negated_conjecture,
    ( c0_1(a414)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause35,negated_conjecture,
    ( c2_1(a414)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause36,negated_conjecture,
    ( c3_1(a414)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a426)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause99,negated_conjecture,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause61,negated_conjecture,
    ( c0_1(a426)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(clause75,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause74,negated_conjecture,
    ( c0_1(a401)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause119,negated_conjecture,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause108,negated_conjecture,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause100,negated_conjecture,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a420)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a460)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause80,negated_conjecture,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause81,negated_conjecture,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause32,negated_conjecture,
    ( hskp18
    | hskp20
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(clause135,negated_conjecture,
    ( c0_1(X1)
    | hskp15
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause144,negated_conjecture,
    ( c2_1(X1)
    | hskp2
    | hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

cnf(clause55,negated_conjecture,
    ( c1_1(a434)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause94,negated_conjecture,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause93,negated_conjecture,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause63,negated_conjecture,
    ( c1_1(a418)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause103,negated_conjecture,
    ( ~ c0_1(a418)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause104,negated_conjecture,
    ( ~ c2_1(a418)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause142,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp16
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(clause49,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause48,negated_conjecture,
    ( c0_1(a451)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause82,negated_conjecture,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause125,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp8
    | hskp9
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause96,negated_conjecture,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(clause58,negated_conjecture,
    ( c2_1(a428)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause97,negated_conjecture,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause98,negated_conjecture,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause60,negated_conjecture,
    ( c2_1(a427)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(clause68,negated_conjecture,
    ( c2_1(a409)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a409)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a409)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause59,negated_conjecture,
    ( c1_1(a427)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause147,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(clause148,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(clause52,negated_conjecture,
    ( c1_1(a445)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a445)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(clause87,negated_conjecture,
    ( ~ c0_1(a445)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause38,negated_conjecture,
    ( c1_1(a412)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(clause37,negated_conjecture,
    ( c0_1(a412)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause39,negated_conjecture,
    ( c2_1(a412)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause140,negated_conjecture,
    ( c2_1(X1)
    | hskp27
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

cnf(clause64,negated_conjecture,
    ( c3_1(a416)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause105,negated_conjecture,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause106,negated_conjecture,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause65,negated_conjecture,
    ( c2_1(a415)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause66,negated_conjecture,
    ( c3_1(a415)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause124,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp26
    | hskp5
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a430)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(clause57,negated_conjecture,
    ( c2_1(a430)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause95,negated_conjecture,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(clause78,negated_conjecture,
    ( ~ c0_1(a477)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause46,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(clause139,negated_conjecture,
    ( c1_1(X1)
    | hskp20
    | hskp21
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(clause76,negated_conjecture,
    ( c1_1(a400)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause77,negated_conjecture,
    ( c2_1(a400)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause120,negated_conjecture,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause44,negated_conjecture,
    ( c1_1(a405)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause84,negated_conjecture,
    ( ~ c1_1(a450)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause85,negated_conjecture,
    ( ~ c3_1(a450)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause83,negated_conjecture,
    ( ~ c0_1(a450)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause136,negated_conjecture,
    ( c0_1(X1)
    | hskp27
    | hskp9
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause79,negated_conjecture,
    ( ~ c2_1(a477)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause122,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | hskp0
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause167,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(clause126,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp0
    | hskp11
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause40,negated_conjecture,
    ( c1_1(a407)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( c2_1(a407)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause42,negated_conjecture,
    ( c3_1(a407)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause114,negated_conjecture,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause116,negated_conjecture,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause112,negated_conjecture,
    ( ~ c0_1(a408)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a408)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause70,negated_conjecture,
    ( c3_1(a408)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause183,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(clause182,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(clause181,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(clause180,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(clause178,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(clause175,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(clause176,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | c0_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause174,negated_conjecture,
    ( c1_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(clause170,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | hskp11
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(clause172,negated_conjecture,
    ( c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(clause173,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause166,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(clause164,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(clause162,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(clause163,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause165,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(clause169,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(clause150,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(clause153,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp6
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause154,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause156,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(clause158,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause159,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(clause155,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp28
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause160,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause31,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(c_0_137,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    clause8 ).

cnf(c_0_138,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp21 ),
    clause30 ).

cnf(c_0_139,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    clause4 ).

cnf(c_0_140,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    clause5 ).

cnf(c_0_141,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause149 ).

cnf(c_0_142,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_140]) ).

cnf(c_0_143,negated_conjecture,
    ( c2_1(X1)
    | hskp12
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause141 ).

cnf(c_0_144,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).

cnf(c_0_145,negated_conjecture,
    ( c0_1(a405)
    | ~ hskp25 ),
    clause43 ).

cnf(c_0_146,negated_conjecture,
    ( c3_1(a405)
    | ~ hskp25 ),
    clause45 ).

cnf(c_0_147,negated_conjecture,
    ( c2_1(X1)
    | hskp9
    | hskp12
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_142])]) ).

cnf(c_0_148,negated_conjecture,
    ( c0_1(a404)
    | ~ hskp4 ),
    clause71 ).

cnf(c_0_149,negated_conjecture,
    ( c3_1(a404)
    | ~ hskp4 ),
    clause72 ).

cnf(c_0_150,negated_conjecture,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    clause113 ).

cnf(c_0_151,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause143 ).

cnf(c_0_152,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp11
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause131 ).

cnf(c_0_153,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause130 ).

cnf(c_0_154,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).

cnf(c_0_155,negated_conjecture,
    ( c2_1(a405)
    | hskp9
    | hskp12
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_145]),c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    ( hskp9
    | hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_142])]) ).

cnf(c_0_158,negated_conjecture,
    ( c1_1(a449)
    | ~ hskp20 ),
    clause50 ).

cnf(c_0_159,negated_conjecture,
    ( c3_1(a449)
    | ~ hskp20 ),
    clause51 ).

cnf(c_0_160,negated_conjecture,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    clause86 ).

fof(c_0_161,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( c3_1(X1)
    | hskp20
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause134 ).

cnf(c_0_163,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | hskp2
    | ~ ndr1_0 ),
    clause121 ).

cnf(c_0_164,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause133 ).

cnf(c_0_165,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp2
    | hskp11
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_142])]) ).

cnf(c_0_166,negated_conjecture,
    ( c0_1(a440)
    | ~ hskp18 ),
    clause54 ).

cnf(c_0_167,negated_conjecture,
    ( ~ c2_1(a440)
    | ~ hskp18 ),
    clause88 ).

cnf(c_0_168,negated_conjecture,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    clause89 ).

fof(c_0_169,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp10
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_171,negated_conjecture,
    ( c3_1(X1)
    | hskp12
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

fof(c_0_172,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_173,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp4
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_174,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp22
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( c0_1(a402)
    | ~ hskp2 ),
    clause73 ).

cnf(c_0_176,negated_conjecture,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    clause118 ).

cnf(c_0_177,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp12
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_142])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    clause117 ).

cnf(c_0_179,negated_conjecture,
    ( c0_1(a414)
    | ~ hskp28 ),
    clause34 ).

cnf(c_0_180,negated_conjecture,
    ( c2_1(a414)
    | ~ hskp28 ),
    clause35 ).

cnf(c_0_181,negated_conjecture,
    ( c3_1(a414)
    | ~ hskp28 ),
    clause36 ).

cnf(c_0_182,negated_conjecture,
    ( hskp9
    | hskp12
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).

cnf(c_0_183,negated_conjecture,
    ( hskp25
    | hskp28
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_184,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_161]) ).

cnf(c_0_185,negated_conjecture,
    ( c1_1(a426)
    | ~ hskp12 ),
    clause62 ).

cnf(c_0_186,negated_conjecture,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    clause99 ).

cnf(c_0_187,negated_conjecture,
    ( c3_1(X1)
    | hskp20
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_142])]) ).

cnf(c_0_188,negated_conjecture,
    ( c0_1(a426)
    | ~ hskp12 ),
    clause61 ).

cnf(c_0_189,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp1 ),
    clause75 ).

cnf(c_0_190,negated_conjecture,
    ( c0_1(a401)
    | ~ hskp1 ),
    clause74 ).

cnf(c_0_191,negated_conjecture,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    clause119 ).

cnf(c_0_192,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp7 ),
    clause67 ).

cnf(c_0_193,negated_conjecture,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    clause109 ).

cnf(c_0_194,negated_conjecture,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    clause108 ).

cnf(c_0_195,negated_conjecture,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    clause101 ).

cnf(c_0_196,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_142])]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    clause100 ).

cnf(c_0_198,negated_conjecture,
    ( ~ c2_1(a420)
    | ~ hskp11 ),
    clause102 ).

cnf(c_0_199,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp2
    | hskp7
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_142])]) ).

cnf(c_0_200,negated_conjecture,
    ( c1_1(a460)
    | ~ hskp23 ),
    clause47 ).

cnf(c_0_201,negated_conjecture,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    clause80 ).

cnf(c_0_202,negated_conjecture,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    clause81 ).

cnf(c_0_203,negated_conjecture,
    ( hskp2
    | hskp11
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168]) ).

cnf(c_0_204,negated_conjecture,
    ( hskp18
    | hskp20
    | hskp23 ),
    clause32 ).

fof(c_0_205,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_206,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_207,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp14
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_208,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( hskp1
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_209,negated_conjecture,
    ( c0_1(X1)
    | hskp15
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause135 ).

cnf(c_0_210,negated_conjecture,
    ( epred3_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_142])]) ).

cnf(c_0_211,negated_conjecture,
    ( c2_1(X1)
    | hskp2
    | hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause144 ).

fof(c_0_212,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_213,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_142])]) ).

cnf(c_0_214,negated_conjecture,
    ( c3_1(X1)
    | hskp10
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_142])]) ).

cnf(c_0_215,negated_conjecture,
    ( c1_1(a434)
    | ~ hskp16 ),
    clause55 ).

cnf(c_0_216,negated_conjecture,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    clause94 ).

cnf(c_0_217,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_172]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    clause93 ).

cnf(c_0_219,negated_conjecture,
    ( c1_1(a418)
    | ~ hskp10 ),
    clause63 ).

cnf(c_0_220,negated_conjecture,
    ( ~ c0_1(a418)
    | ~ hskp10 ),
    clause103 ).

cnf(c_0_221,negated_conjecture,
    ( ~ c2_1(a418)
    | ~ hskp10 ),
    clause104 ).

cnf(c_0_222,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp16
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause142 ).

cnf(c_0_223,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_142])]) ).

cnf(c_0_224,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp22 ),
    clause49 ).

cnf(c_0_225,negated_conjecture,
    ( c0_1(a451)
    | ~ hskp22 ),
    clause48 ).

cnf(c_0_226,negated_conjecture,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    clause82 ).

cnf(c_0_227,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp22
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_142])]) ).

cnf(c_0_228,negated_conjecture,
    ( hskp9
    | hskp12
    | ~ c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_175]),c_0_176]) ).

cnf(c_0_229,negated_conjecture,
    ( c3_1(a402)
    | hskp1
    | hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_175]),c_0_178]) ).

cnf(c_0_230,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_179]),c_0_180]),c_0_181]) ).

cnf(c_0_231,negated_conjecture,
    ( hskp9
    | hskp12
    | hskp28
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_232,negated_conjecture,
    ( epred23_0
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).

cnf(c_0_233,negated_conjecture,
    ( c3_1(a426)
    | hskp20
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_185]),c_0_188]) ).

cnf(c_0_234,negated_conjecture,
    ( epred23_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_235,negated_conjecture,
    ( hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_236,negated_conjecture,
    ( hskp1
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_192]),c_0_193]),c_0_194]) ).

cnf(c_0_237,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198]) ).

cnf(c_0_238,negated_conjecture,
    ( hskp2
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_239,negated_conjecture,
    ( hskp2
    | hskp11
    | hskp20
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_240,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp8
    | hskp9
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause125 ).

fof(c_0_241,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp1
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_242,negated_conjecture,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    clause96 ).

cnf(c_0_243,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_205]) ).

cnf(c_0_244,negated_conjecture,
    ( c2_1(a428)
    | ~ hskp14 ),
    clause58 ).

cnf(c_0_245,negated_conjecture,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    clause97 ).

cnf(c_0_246,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_142])]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    clause98 ).

cnf(c_0_248,negated_conjecture,
    ( c2_1(a427)
    | ~ hskp13 ),
    clause60 ).

cnf(c_0_249,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp14
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_142])]) ).

fof(c_0_250,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_251,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_252,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_142])]) ).

cnf(c_0_253,negated_conjecture,
    ( c2_1(a409)
    | ~ hskp6 ),
    clause68 ).

cnf(c_0_254,negated_conjecture,
    ( ~ c0_1(a409)
    | ~ hskp6 ),
    clause110 ).

cnf(c_0_255,negated_conjecture,
    ( ~ c3_1(a409)
    | ~ hskp6 ),
    clause111 ).

cnf(c_0_256,negated_conjecture,
    ( c0_1(X1)
    | hskp6
    | hskp15
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_142])]) ).

cnf(c_0_257,negated_conjecture,
    ( c1_1(a427)
    | ~ hskp13 ),
    clause59 ).

fof(c_0_258,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_259,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_260,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

fof(c_0_261,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_262,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

fof(c_0_263,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp12
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_264,negated_conjecture,
    ( epred3_0
    | ~ c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_210]),c_0_175]) ).

cnf(c_0_265,negated_conjecture,
    ( c2_1(X1)
    | hskp2
    | hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_142])]) ).

fof(c_0_266,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_267,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_212]) ).

cnf(c_0_268,negated_conjecture,
    ( epred25_0
    | hskp10
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_185]),c_0_186]) ).

cnf(c_0_269,negated_conjecture,
    ( hskp10
    | hskp12
    | ~ c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).

cnf(c_0_270,negated_conjecture,
    ( epred6_0
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_215]),c_0_218]) ).

cnf(c_0_271,negated_conjecture,
    ( epred6_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_272,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp16
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_142])]) ).

cnf(c_0_273,negated_conjecture,
    ( epred26_0
    | hskp4
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_226]) ).

cnf(c_0_274,negated_conjecture,
    ( epred22_0
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_166]),c_0_167]),c_0_168]) ).

fof(c_0_275,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_276,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_277,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( hskp7
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_278,negated_conjecture,
    ( hskp1
    | hskp9
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_279,negated_conjecture,
    ( hskp9
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_156]) ).

cnf(c_0_280,negated_conjecture,
    ( epred23_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).

cnf(c_0_281,negated_conjecture,
    ( hskp12
    | hskp20
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_282,negated_conjecture,
    ( hskp2
    | hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_235,c_0_237]) ).

cnf(c_0_283,negated_conjecture,
    ( hskp2
    | hskp7
    | hskp11
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_284,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp9
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_142])]) ).

cnf(c_0_285,negated_conjecture,
    ( epred30_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_241]),c_0_142])]) ).

cnf(c_0_286,negated_conjecture,
    ( epred21_0
    | ~ c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_287,negated_conjecture,
    ( epred1_0
    | c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_244]) ).

cnf(c_0_288,negated_conjecture,
    ( epred21_0
    | ~ c3_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_243]),c_0_248]) ).

cnf(c_0_289,negated_conjecture,
    ( epred24_0
    | c3_1(a427)
    | hskp14
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_248]),c_0_247]) ).

cnf(c_0_290,negated_conjecture,
    ( epred31_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_250]) ).

cnf(c_0_291,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_251]) ).

cnf(c_0_292,negated_conjecture,
    ( epred29_0
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255]) ).

cnf(c_0_293,negated_conjecture,
    ( hskp6
    | hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_248]),c_0_247]) ).

cnf(c_0_294,negated_conjecture,
    ( epred4_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_258]) ).

cnf(c_0_295,negated_conjecture,
    ( epred40_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_259]) ).

cnf(c_0_296,negated_conjecture,
    ( c1_1(a445)
    | ~ hskp19 ),
    clause52 ).

cnf(c_0_297,negated_conjecture,
    ( c3_1(a445)
    | ~ hskp19 ),
    clause53 ).

cnf(c_0_298,negated_conjecture,
    ( ~ c0_1(a445)
    | ~ hskp19 ),
    clause87 ).

cnf(c_0_299,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_142])]) ).

cnf(c_0_300,negated_conjecture,
    ( c1_1(a412)
    | ~ hskp27 ),
    clause38 ).

cnf(c_0_301,negated_conjecture,
    ( c0_1(a412)
    | ~ hskp27 ),
    clause37 ).

cnf(c_0_302,negated_conjecture,
    ( c2_1(a412)
    | ~ hskp27 ),
    clause39 ).

cnf(c_0_303,negated_conjecture,
    ( c2_1(X1)
    | hskp27
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause140 ).

cnf(c_0_304,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_261]) ).

cnf(c_0_305,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_142])]) ).

fof(c_0_306,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( hskp20
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_307,negated_conjecture,
    ( epred9_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp12
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_263]),c_0_142])]) ).

fof(c_0_308,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp9
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_309,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( hskp19
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_310,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_311,negated_conjecture,
    ( epred3_0
    | hskp1
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_264,c_0_229]) ).

cnf(c_0_312,negated_conjecture,
    ( hskp2
    | hskp13
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_185]),c_0_186]) ).

cnf(c_0_313,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_266]) ).

cnf(c_0_314,negated_conjecture,
    ( epred2_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_315,negated_conjecture,
    ( epred25_0
    | hskp10
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_268,c_0_233]) ).

cnf(c_0_316,negated_conjecture,
    ( epred25_0
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_317,negated_conjecture,
    ( epred6_0
    | hskp12
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).

cnf(c_0_318,negated_conjecture,
    ( hskp7
    | hskp16
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_148]),c_0_149]),c_0_150]) ).

cnf(c_0_319,negated_conjecture,
    ( hskp20
    | ~ c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_200]),c_0_202]) ).

cnf(c_0_320,negated_conjecture,
    ( epred6_0
    | c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_200]),c_0_201]) ).

cnf(c_0_321,negated_conjecture,
    ( epred26_0
    | epred22_0
    | hskp4
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_322,negated_conjecture,
    ( epred45_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_275]),c_0_142])]) ).

cnf(c_0_323,negated_conjecture,
    ( epred8_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_276]) ).

fof(c_0_324,plain,
    ( ~ epred44_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_325,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_326,plain,
    ( ~ epred39_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_327,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp7
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_277]),c_0_142])]) ).

cnf(c_0_328,negated_conjecture,
    ( c3_1(a416)
    | ~ hskp9 ),
    clause64 ).

cnf(c_0_329,negated_conjecture,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    clause105 ).

cnf(c_0_330,negated_conjecture,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    clause106 ).

cnf(c_0_331,negated_conjecture,
    ( hskp9
    | hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_278]),c_0_279]) ).

cnf(c_0_332,negated_conjecture,
    ( epred23_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_234]) ).

cnf(c_0_333,negated_conjecture,
    ( hskp2
    | hskp7
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    clause107 ).

cnf(c_0_335,negated_conjecture,
    ( c2_1(a415)
    | ~ hskp8 ),
    clause65 ).

cnf(c_0_336,negated_conjecture,
    ( c3_1(a415)
    | ~ hskp8 ),
    clause66 ).

cnf(c_0_337,negated_conjecture,
    ( hskp8
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_338,negated_conjecture,
    ( epred30_0
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_192]),c_0_193]),c_0_194]) ).

cnf(c_0_339,negated_conjecture,
    ( epred21_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_340,negated_conjecture,
    ( epred24_0
    | epred21_0
    | hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_341,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp26
    | hskp5
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause124 ).

cnf(c_0_342,negated_conjecture,
    ( epred31_0
    | ~ c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_215]),c_0_218]) ).

cnf(c_0_343,negated_conjecture,
    ( epred14_0
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_215]),c_0_216]) ).

cnf(c_0_344,negated_conjecture,
    ( c0_1(a430)
    | ~ hskp15 ),
    clause56 ).

cnf(c_0_345,negated_conjecture,
    ( c2_1(a430)
    | ~ hskp15 ),
    clause57 ).

cnf(c_0_346,negated_conjecture,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    clause95 ).

cnf(c_0_347,negated_conjecture,
    ( epred29_0
    | hskp1
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_348,negated_conjecture,
    ( hskp2
    | hskp13
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ c0_1(a477)
    | ~ hskp24 ),
    clause78 ).

cnf(c_0_350,negated_conjecture,
    ( epred40_0
    | epred4_0
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_351,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp24 ),
    clause46 ).

cnf(c_0_352,negated_conjecture,
    ( epred4_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_296]),c_0_297]),c_0_298]) ).

cnf(c_0_353,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]),c_0_302]) ).

cnf(c_0_354,negated_conjecture,
    ( c2_1(X1)
    | hskp23
    | hskp27
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_142])]) ).

cnf(c_0_355,negated_conjecture,
    ( epred3_0
    | ~ c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_210]),c_0_225]) ).

cnf(c_0_356,negated_conjecture,
    ( epred48_0
    | c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_225]),c_0_224]) ).

cnf(c_0_357,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_301]),c_0_302]) ).

cnf(c_0_358,negated_conjecture,
    ( epred48_0
    | c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_301]),c_0_302]) ).

cnf(c_0_359,negated_conjecture,
    ( epred32_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp20
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_306]),c_0_142])]) ).

cnf(c_0_360,negated_conjecture,
    ( c1_1(X1)
    | hskp20
    | hskp21
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause139 ).

cnf(c_0_361,negated_conjecture,
    ( epred9_0
    | c3_1(a428)
    | hskp12
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_244]),c_0_245]) ).

cnf(c_0_362,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_308]),c_0_142])]) ).

fof(c_0_363,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_364,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( hskp11
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_365,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp19
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_142])]) ).

fof(c_0_366,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_367,negated_conjecture,
    ( epred51_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_310]) ).

fof(c_0_368,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_369,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_370,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp28
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_371,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_372,negated_conjecture,
    ( epred3_0
    | hskp12
    | hskp20
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_235,c_0_311]) ).

cnf(c_0_373,negated_conjecture,
    ( epred31_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_257]),c_0_248]),c_0_247]) ).

cnf(c_0_374,negated_conjecture,
    ( hskp2
    | hskp13
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_312,c_0_233]) ).

cnf(c_0_375,negated_conjecture,
    ( epred50_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_185]),c_0_188]),c_0_186]) ).

cnf(c_0_376,negated_conjecture,
    ( epred2_0
    | hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_314,c_0_236]) ).

cnf(c_0_377,negated_conjecture,
    ( epred25_0
    | epred6_0
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_271,c_0_315]) ).

cnf(c_0_378,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_271,c_0_316]) ).

cnf(c_0_379,negated_conjecture,
    ( epred6_0
    | hskp7
    | hskp12
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_380,negated_conjecture,
    ( epred6_0
    | hskp20
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_381,negated_conjecture,
    ( epred26_0
    | epred22_0
    | hskp4
    | hskp20
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_321,c_0_204]) ).

cnf(c_0_382,negated_conjecture,
    ( epred45_0
    | ~ c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_322]),c_0_244]) ).

cnf(c_0_383,negated_conjecture,
    ( c1_1(a400)
    | ~ hskp0 ),
    clause76 ).

cnf(c_0_384,negated_conjecture,
    ( c2_1(a400)
    | ~ hskp0 ),
    clause77 ).

cnf(c_0_385,negated_conjecture,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    clause120 ).

cnf(c_0_386,negated_conjecture,
    ( epred8_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_323]),c_0_253]),c_0_255]) ).

fof(c_0_387,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_388,negated_conjecture,
    ( c1_1(a405)
    | ~ hskp25 ),
    clause44 ).

fof(c_0_389,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp13
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_390,negated_conjecture,
    ( epred44_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_324]) ).

cnf(c_0_391,negated_conjecture,
    ( epred4_0
    | ~ c3_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_257]),c_0_247]) ).

fof(c_0_392,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_393,negated_conjecture,
    ( epred33_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_325]) ).

fof(c_0_394,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( hskp0
        | c0_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_395,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_396,negated_conjecture,
    ( epred39_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_326]) ).

fof(c_0_397,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_398,negated_conjecture,
    ( ~ c1_1(a450)
    | ~ hskp21 ),
    clause84 ).

cnf(c_0_399,negated_conjecture,
    ( ~ c3_1(a450)
    | ~ hskp21 ),
    clause85 ).

cnf(c_0_400,negated_conjecture,
    ( ~ c0_1(a450)
    | ~ hskp21 ),
    clause83 ).

cnf(c_0_401,negated_conjecture,
    ( epred13_0
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]),c_0_330]) ).

cnf(c_0_402,negated_conjecture,
    ( epred23_0
    | hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_280,c_0_331]) ).

cnf(c_0_403,negated_conjecture,
    ( epred23_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_234]) ).

cnf(c_0_404,negated_conjecture,
    ( epred45_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_322]),c_0_335]),c_0_336]) ).

cnf(c_0_405,negated_conjecture,
    ( epred25_0
    | hskp8
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_337,c_0_316]) ).

cnf(c_0_406,negated_conjecture,
    ( epred30_0
    | hskp20
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_235,c_0_338]) ).

cnf(c_0_407,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred1_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_408,negated_conjecture,
    ( epred48_0
    | ~ c2_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_190]),c_0_191]) ).

cnf(c_0_409,negated_conjecture,
    ( c2_1(a401)
    | hskp2
    | hskp7
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_189]),c_0_191]) ).

cnf(c_0_410,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp5
    | hskp26
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_142])]) ).

cnf(c_0_411,negated_conjecture,
    ( epred31_0
    | epred14_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_412,negated_conjecture,
    ( epred48_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_344]),c_0_345]),c_0_346]) ).

cnf(c_0_413,negated_conjecture,
    ( epred29_0
    | hskp1
    | hskp2
    | hskp15
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_414,negated_conjecture,
    ( epred3_0
    | ~ c0_1(a415)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_210]),c_0_336]) ).

cnf(c_0_415,negated_conjecture,
    ( epred40_0
    | c0_1(a415)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_295]),c_0_336]) ).

cnf(c_0_416,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_200]),c_0_202]) ).

cnf(c_0_417,negated_conjecture,
    ( c0_1(a460)
    | hskp8
    | hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_200]),c_0_201]) ).

cnf(c_0_418,negated_conjecture,
    ( epred40_0
    | epred4_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).

cnf(c_0_419,negated_conjecture,
    ( epred4_0
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_420,negated_conjecture,
    ( hskp23
    | hskp27
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_185]),c_0_188]),c_0_186]) ).

cnf(c_0_421,negated_conjecture,
    ( epred48_0
    | epred3_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_422,negated_conjecture,
    ( epred48_0
    | hskp11
    | hskp22
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_423,negated_conjecture,
    ( hskp23
    | hskp27
    | ~ c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_158]),c_0_160]) ).

cnf(c_0_424,negated_conjecture,
    ( epred4_0
    | c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_158]),c_0_159]) ).

cnf(c_0_425,negated_conjecture,
    ( epred8_0
    | ~ c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_323]),c_0_216]) ).

cnf(c_0_426,negated_conjecture,
    ( epred32_0
    | c2_1(a434)
    | hskp20
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_215]),c_0_216]) ).

cnf(c_0_427,negated_conjecture,
    ( hskp7
    | hskp16
    | ~ c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_175]),c_0_176]) ).

cnf(c_0_428,negated_conjecture,
    ( epred30_0
    | c3_1(a402)
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_175]),c_0_178]) ).

cnf(c_0_429,negated_conjecture,
    ( c1_1(X1)
    | hskp20
    | hskp21
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_142])]) ).

cnf(c_0_430,negated_conjecture,
    ( epred21_0
    | epred9_0
    | hskp12
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_286,c_0_361]) ).

cnf(c_0_431,negated_conjecture,
    ( epred24_0
    | hskp14
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_253]),c_0_254]),c_0_255]) ).

cnf(c_0_432,negated_conjecture,
    ( epred30_0
    | c3_1(a451)
    | hskp1
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_225]),c_0_226]) ).

cnf(c_0_433,negated_conjecture,
    ( epred2_0
    | c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_300]),c_0_301]) ).

cnf(c_0_434,negated_conjecture,
    ( epred11_0
    | c3_1(a451)
    | hskp9
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_225]),c_0_226]) ).

cnf(c_0_435,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | hskp3
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_142])]) ).

cnf(c_0_436,negated_conjecture,
    ( epred35_0
    | c3_1(X1)
    | hskp11
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_364]),c_0_142])]) ).

cnf(c_0_437,negated_conjecture,
    ( epred34_0
    | c3_1(a428)
    | hskp19
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_244]),c_0_245]) ).

cnf(c_0_438,negated_conjecture,
    ( epred15_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp6
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_366]),c_0_142])]) ).

cnf(c_0_439,negated_conjecture,
    ( epred51_0
    | epred1_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_367,c_0_246]) ).

cnf(c_0_440,negated_conjecture,
    ( epred46_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_368]) ).

cnf(c_0_441,negated_conjecture,
    ( epred43_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_369]) ).

cnf(c_0_442,negated_conjecture,
    ( c0_1(X1)
    | hskp27
    | hskp9
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause136 ).

cnf(c_0_443,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp28
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_370]),c_0_142])]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ c2_1(a477)
    | ~ hskp24 ),
    clause79 ).

cnf(c_0_445,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_371]) ).

cnf(c_0_446,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | hskp0
    | ~ ndr1_0 ),
    clause122 ).

cnf(c_0_447,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause167 ).

cnf(c_0_448,negated_conjecture,
    ( epred23_0
    | epred3_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_372]),c_0_234]) ).

cnf(c_0_449,negated_conjecture,
    ( epred31_0
    | hskp2
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_450,negated_conjecture,
    ( epred31_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_373,c_0_348]) ).

cnf(c_0_451,negated_conjecture,
    ( epred32_0
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_452,negated_conjecture,
    ( epred50_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_453,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_281]),c_0_378]) ).

cnf(c_0_454,negated_conjecture,
    ( epred25_0
    | epred6_0
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_379]),c_0_378]) ).

cnf(c_0_455,negated_conjecture,
    ( epred26_0
    | epred22_0
    | epred6_0
    | hskp4
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_456,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp0
    | hskp11
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause126 ).

cnf(c_0_457,negated_conjecture,
    ( epred45_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_382,c_0_287]) ).

cnf(c_0_458,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_383]),c_0_384]) ).

cnf(c_0_459,negated_conjecture,
    ( epred24_0
    | c0_1(a400)
    | hskp14
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_384]),c_0_385]) ).

cnf(c_0_460,negated_conjecture,
    ( epred8_0
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_386,c_0_293]) ).

cnf(c_0_461,negated_conjecture,
    ( epred4_0
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_219]),c_0_220]) ).

cnf(c_0_462,negated_conjecture,
    ( epred14_0
    | c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_219]),c_0_221]) ).

cnf(c_0_463,negated_conjecture,
    ( c1_1(a407)
    | ~ hskp26 ),
    clause40 ).

cnf(c_0_464,negated_conjecture,
    ( c2_1(a407)
    | ~ hskp26 ),
    clause41 ).

cnf(c_0_465,negated_conjecture,
    ( c3_1(a407)
    | ~ hskp26 ),
    clause42 ).

cnf(c_0_466,negated_conjecture,
    ( epred17_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_387]) ).

cnf(c_0_467,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_388]),c_0_145]) ).

cnf(c_0_468,negated_conjecture,
    ( epred50_0
    | c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_388]),c_0_145]) ).

cnf(c_0_469,negated_conjecture,
    ( epred1_0
    | c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_246]),c_0_224]) ).

cnf(c_0_470,negated_conjecture,
    ( epred1_0
    | ~ c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_246]),c_0_193]) ).

cnf(c_0_471,negated_conjecture,
    ( epred22_0
    | c2_1(a410)
    | hskp22
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_192]),c_0_193]) ).

fof(c_0_472,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c1_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_473,negated_conjecture,
    ( epred29_0
    | c3_1(a427)
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_248]),c_0_247]) ).

cnf(c_0_474,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp13
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_389]),c_0_142])]) ).

cnf(c_0_475,negated_conjecture,
    ( epred44_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_390]),c_0_244]),c_0_242]) ).

cnf(c_0_476,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_391,c_0_289]) ).

cnf(c_0_477,negated_conjecture,
    ( epred38_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_392]),c_0_142])]) ).

cnf(c_0_478,negated_conjecture,
    ( epred51_0
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_383]),c_0_384]) ).

cnf(c_0_479,negated_conjecture,
    ( epred33_0
    | ~ c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_225]),c_0_224]) ).

cnf(c_0_480,negated_conjecture,
    ( epred22_0
    | c3_1(a402)
    | hskp22
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_175]),c_0_176]) ).

cnf(c_0_481,negated_conjecture,
    ( epred31_0
    | c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_383]),c_0_384]) ).

cnf(c_0_482,negated_conjecture,
    ( epred20_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_394]),c_0_142])]) ).

cnf(c_0_483,negated_conjecture,
    ( epred47_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_395]),c_0_142])]) ).

cnf(c_0_484,negated_conjecture,
    ( epred39_0
    | epred22_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_227,c_0_396]) ).

fof(c_0_485,plain,
    ( ~ epred41_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_486,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_397]) ).

cnf(c_0_487,negated_conjecture,
    ( epred1_0
    | ~ c2_1(a450)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_246]),c_0_399]) ).

cnf(c_0_488,negated_conjecture,
    ( c2_1(a450)
    | hskp1
    | hskp2
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_196]),c_0_400]) ).

cnf(c_0_489,negated_conjecture,
    ( epred8_0
    | ~ c2_1(a450)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_323]),c_0_399]) ).

cnf(c_0_490,negated_conjecture,
    ( epred23_0
    | epred13_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_332,c_0_401]) ).

cnf(c_0_491,negated_conjecture,
    ( epred23_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_492,negated_conjecture,
    ( epred45_0
    | epred25_0
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_493,negated_conjecture,
    ( epred30_0
    | hskp2
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_406,c_0_333]) ).

cnf(c_0_494,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred1_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_407,c_0_348]) ).

cnf(c_0_495,negated_conjecture,
    ( epred48_0
    | hskp2
    | hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_496,negated_conjecture,
    ( hskp5
    | hskp26
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_244]),c_0_242]),c_0_245]) ).

cnf(c_0_497,negated_conjecture,
    ( epred31_0
    | epred14_0
    | hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_411,c_0_318]) ).

cnf(c_0_498,negated_conjecture,
    ( epred48_0
    | epred29_0
    | hskp1
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_499,negated_conjecture,
    ( epred40_0
    | epred3_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_500,negated_conjecture,
    ( epred2_0
    | hskp8
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_501,negated_conjecture,
    ( epred40_0
    | epred4_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_502,negated_conjecture,
    ( hskp2
    | hskp7
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_238,c_0_420]) ).

cnf(c_0_503,negated_conjecture,
    ( epred48_0
    | epred3_0
    | hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_504,negated_conjecture,
    ( epred4_0
    | hskp23
    | hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_423,c_0_424]) ).

cnf(c_0_505,negated_conjecture,
    ( c2_1(a434)
    | hskp2
    | hskp7
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_215]),c_0_216]) ).

cnf(c_0_506,negated_conjecture,
    ( c2_1(a405)
    | hskp23
    | hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_388]),c_0_145]) ).

cnf(c_0_507,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_145]),c_0_146]) ).

cnf(c_0_508,negated_conjecture,
    ( epred32_0
    | epred8_0
    | hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_509,negated_conjecture,
    ( epred30_0
    | hskp1
    | hskp16
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_338]) ).

cnf(c_0_510,negated_conjecture,
    ( c1_1(a414)
    | hskp20
    | hskp21
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_181]),c_0_179]) ).

cnf(c_0_511,negated_conjecture,
    ( c1_1(a404)
    | hskp20
    | hskp21
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_149]),c_0_148]) ).

cnf(c_0_512,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred9_0
    | hskp12
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_513,negated_conjecture,
    ( epred30_0
    | epred3_0
    | hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_355,c_0_432]) ).

cnf(c_0_514,negated_conjecture,
    ( epred2_0
    | hskp11
    | hskp22
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_357,c_0_433]) ).

cnf(c_0_515,negated_conjecture,
    ( epred11_0
    | epred3_0
    | hskp9
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_355,c_0_434]) ).

cnf(c_0_516,negated_conjecture,
    ( epred37_0
    | c1_1(a414)
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_180]),c_0_179]) ).

cnf(c_0_517,negated_conjecture,
    ( epred35_0
    | epred1_0
    | c3_1(X1)
    | hskp11
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_436,c_0_246]) ).

cnf(c_0_518,negated_conjecture,
    ( epred45_0
    | epred34_0
    | hskp19
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_382,c_0_437]) ).

cnf(c_0_519,negated_conjecture,
    ( epred15_0
    | c1_1(a477)
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_351]),c_0_349]) ).

cnf(c_0_520,negated_conjecture,
    ( epred51_0
    | epred8_0
    | epred1_0
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_439,c_0_323]) ).

cnf(c_0_521,negated_conjecture,
    ( epred46_0
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_192]),c_0_193]) ).

cnf(c_0_522,negated_conjecture,
    ( epred43_0
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_441]),c_0_192]) ).

cnf(c_0_523,negated_conjecture,
    ( c0_1(X1)
    | hskp9
    | hskp27
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_142])]) ).

cnf(c_0_524,negated_conjecture,
    ( epred5_0
    | c1_1(a477)
    | hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_351]),c_0_444]) ).

cnf(c_0_525,negated_conjecture,
    ( epred5_0
    | c2_1(a416)
    | hskp28
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_328]),c_0_330]) ).

cnf(c_0_526,negated_conjecture,
    ( epred28_0
    | epred4_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_294,c_0_445]) ).

cnf(c_0_527,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_142])]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    clause114 ).

cnf(c_0_529,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_447,c_0_169]),c_0_258]) ).

cnf(c_0_530,negated_conjecture,
    ( epred23_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_448,c_0_403]) ).

cnf(c_0_531,negated_conjecture,
    ( epred31_0
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_281]),c_0_450]) ).

cnf(c_0_532,negated_conjecture,
    ( epred32_0
    | hskp2
    | hskp11
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_451,c_0_239]) ).

cnf(c_0_533,negated_conjecture,
    ( epred50_0
    | epred13_0
    | epred2_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_452,c_0_401]) ).

cnf(c_0_534,negated_conjecture,
    ( epred50_0
    | hskp9
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_375,c_0_156]) ).

cnf(c_0_535,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_536,negated_conjecture,
    ( epred26_0
    | epred25_0
    | epred22_0
    | epred6_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_378,c_0_455]) ).

cnf(c_0_537,negated_conjecture,
    ( epred3_0
    | epred2_0
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_314,c_0_311]) ).

cnf(c_0_538,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp0
    | hskp11
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_456,c_0_142])]) ).

cnf(c_0_539,negated_conjecture,
    ( c3_1(a418)
    | hskp2
    | hskp7
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_219]),c_0_221]) ).

cnf(c_0_540,negated_conjecture,
    ( epred51_0
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_388]),c_0_145]) ).

cnf(c_0_541,negated_conjecture,
    ( epred51_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_300]),c_0_301]),c_0_302]) ).

cnf(c_0_542,negated_conjecture,
    ( epred14_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_543,negated_conjecture,
    ( epred45_0
    | epred24_0
    | epred1_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_457,c_0_431]) ).

cnf(c_0_544,negated_conjecture,
    ( hskp2
    | hskp13
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_219]),c_0_221]) ).

cnf(c_0_545,negated_conjecture,
    ( epred32_0
    | c3_1(a418)
    | hskp20
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_219]),c_0_221]) ).

cnf(c_0_546,negated_conjecture,
    ( epred33_0
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_145]),c_0_146]) ).

cnf(c_0_547,negated_conjecture,
    ( c2_1(a405)
    | hskp7
    | hskp16
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_145]),c_0_146]) ).

cnf(c_0_548,negated_conjecture,
    ( epred24_0
    | hskp14
    | hskp19
    | hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_549,negated_conjecture,
    ( epred8_0
    | hskp2
    | hskp15
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_460,c_0_348]) ).

cnf(c_0_550,negated_conjecture,
    ( epred14_0
    | epred4_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_551,negated_conjecture,
    ( epred14_0
    | hskp10
    | hskp12
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_269,c_0_343]) ).

cnf(c_0_552,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_179]),c_0_180]),c_0_181]) ).

cnf(c_0_553,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ c0_1(a407)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_463]),c_0_464]) ).

cnf(c_0_554,negated_conjecture,
    ( epred4_0
    | c0_1(a407)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_463]),c_0_465]) ).

cnf(c_0_555,negated_conjecture,
    ( epred17_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_466]),c_0_351]),c_0_444]) ).

cnf(c_0_556,negated_conjecture,
    ( epred50_0
    | hskp19
    | hskp24
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_467,c_0_468]) ).

cnf(c_0_557,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_355,c_0_469]) ).

cnf(c_0_558,negated_conjecture,
    ( epred37_0
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_224]),c_0_225]),c_0_226]) ).

cnf(c_0_559,negated_conjecture,
    ( epred22_0
    | epred1_0
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_560,negated_conjecture,
    ( epred49_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_472]),c_0_142])]) ).

cnf(c_0_561,negated_conjecture,
    ( epred30_0
    | epred3_0
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_264,c_0_428]) ).

cnf(c_0_562,negated_conjecture,
    ( epred29_0
    | epred4_0
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_391,c_0_473]) ).

cnf(c_0_563,negated_conjecture,
    ( epred7_0
    | hskp13
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_564,negated_conjecture,
    ( epred44_0
    | epred24_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_475,c_0_476]) ).

cnf(c_0_565,negated_conjecture,
    ( epred38_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_477]),c_0_244]),c_0_242]) ).

cnf(c_0_566,negated_conjecture,
    ( epred51_0
    | epred24_0
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_459]) ).

cnf(c_0_567,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_383]),c_0_385]) ).

cnf(c_0_568,negated_conjecture,
    ( epred33_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_479,c_0_469]) ).

cnf(c_0_569,negated_conjecture,
    ( epred22_0
    | epred3_0
    | hskp22
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_264,c_0_480]) ).

cnf(c_0_570,negated_conjecture,
    ( epred51_0
    | epred31_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_481]) ).

cnf(c_0_571,negated_conjecture,
    ( epred20_0
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_482]),c_0_197]),c_0_198]) ).

cnf(c_0_572,negated_conjecture,
    ( epred44_0
    | ~ c2_1(a450)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_390]),c_0_400]) ).

cnf(c_0_573,negated_conjecture,
    ( epred47_0
    | c2_1(a450)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_483]),c_0_400]) ).

cnf(c_0_574,negated_conjecture,
    ( epred45_0
    | ~ c2_1(a416)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_322]),c_0_328]) ).

cnf(c_0_575,negated_conjecture,
    ( epred39_0
    | epred22_0
    | hskp22
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_484]),c_0_201]) ).

cnf(c_0_576,negated_conjecture,
    ( epred40_0
    | ~ c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_295]),c_0_242]) ).

cnf(c_0_577,negated_conjecture,
    ( epred51_0
    | ~ c0_1(a407)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_463]),c_0_464]) ).

cnf(c_0_578,negated_conjecture,
    ( epred31_0
    | c0_1(a407)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_463]),c_0_464]) ).

cnf(c_0_579,negated_conjecture,
    ( epred50_0
    | ~ c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_158]),c_0_160]) ).

cnf(c_0_580,negated_conjecture,
    ( epred41_0
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_485]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    clause115 ).

cnf(c_0_582,negated_conjecture,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    clause116 ).

cnf(c_0_583,negated_conjecture,
    ( epred33_0
    | ~ c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_301]),c_0_302]) ).

cnf(c_0_584,negated_conjecture,
    ( epred12_0
    | c3_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_257]),c_0_247]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ c0_1(a408)
    | ~ hskp5 ),
    clause112 ).

cnf(c_0_586,negated_conjecture,
    ( c2_1(a408)
    | ~ hskp5 ),
    clause69 ).

cnf(c_0_587,negated_conjecture,
    ( c3_1(a408)
    | ~ hskp5 ),
    clause70 ).

cnf(c_0_588,negated_conjecture,
    ( epred8_0
    | c3_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_323]),c_0_248]) ).

cnf(c_0_589,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X3) ),
    clause183 ).

cnf(c_0_590,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    clause182 ).

cnf(c_0_591,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause181 ).

cnf(c_0_592,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause180 ).

cnf(c_0_593,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    clause178 ).

cnf(c_0_594,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause175 ).

cnf(c_0_595,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | c0_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause176 ).

cnf(c_0_596,negated_conjecture,
    ( c1_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    clause174 ).

cnf(c_0_597,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | hskp11
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause170 ).

cnf(c_0_598,negated_conjecture,
    ( c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause172 ).

cnf(c_0_599,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause173 ).

cnf(c_0_600,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause166 ).

cnf(c_0_601,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause164 ).

cnf(c_0_602,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause162 ).

cnf(c_0_603,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause163 ).

cnf(c_0_604,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause165 ).

cnf(c_0_605,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause169 ).

cnf(c_0_606,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause150 ).

cnf(c_0_607,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp6
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause153 ).

cnf(c_0_608,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause154 ).

cnf(c_0_609,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause156 ).

cnf(c_0_610,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause158 ).

cnf(c_0_611,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause159 ).

cnf(c_0_612,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp28
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause155 ).

cnf(c_0_613,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause160 ).

cnf(c_0_614,negated_conjecture,
    ( epred1_0
    | hskp1
    | hskp2
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_615,negated_conjecture,
    ( epred8_0
    | hskp1
    | hskp2
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_489,c_0_488]) ).

cnf(c_0_616,negated_conjecture,
    ( epred29_0
    | c3_1(a450)
    | c0_1(a450)
    | hskp1
    | hskp2
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_252,c_0_488]) ).

cnf(c_0_617,negated_conjecture,
    ( epred24_0
    | c3_1(a450)
    | c0_1(a450)
    | hskp14
    | hskp1
    | hskp2
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_249,c_0_488]) ).

cnf(c_0_618,negated_conjecture,
    ( epred23_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_619,negated_conjecture,
    ( epred45_0
    | epred25_0
    | hskp9
    | epred30_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_620,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred1_0
    | hskp2
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_493]) ).

cnf(c_0_621,negated_conjecture,
    ( epred48_0
    | hskp2
    | hskp7
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_495,c_0_237]) ).

cnf(c_0_622,negated_conjecture,
    ( hskp5
    | hskp26
    | epred24_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_496,c_0_476]) ).

cnf(c_0_623,negated_conjecture,
    ( epred50_0
    | epred2_0
    | epred31_0
    | epred14_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_452,c_0_497]) ).

cnf(c_0_624,negated_conjecture,
    ( hskp7
    | hskp16
    | hskp1
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_427,c_0_229]) ).

cnf(c_0_625,negated_conjecture,
    ( epred48_0
    | hskp2
    | hskp7
    | epred29_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_495,c_0_498]) ).

cnf(c_0_626,negated_conjecture,
    ( epred40_0
    | epred3_0
    | epred2_0
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_627,negated_conjecture,
    ( epred40_0
    | epred4_0
    | hskp2
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_501,c_0_502]) ).

cnf(c_0_628,negated_conjecture,
    ( epred48_0
    | epred3_0
    | hskp11
    | hskp2
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_503,c_0_502]) ).

cnf(c_0_629,negated_conjecture,
    ( hskp2
    | hskp7
    | epred4_0
    | hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_238,c_0_504]) ).

cnf(c_0_630,negated_conjecture,
    ( epred24_0
    | c3_1(a434)
    | c0_1(a434)
    | hskp14
    | hskp2
    | hskp7
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_249,c_0_505]) ).

cnf(c_0_631,negated_conjecture,
    ( hskp19
    | hskp24
    | hskp23
    | hskp27
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_467,c_0_506]) ).

cnf(c_0_632,negated_conjecture,
    ( hskp11
    | hskp22
    | hskp23
    | hskp27
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_507,c_0_506]) ).

cnf(c_0_633,negated_conjecture,
    ( epred32_0
    | epred8_0
    | hskp20
    | epred30_0
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_634,negated_conjecture,
    ( epred51_0
    | hskp20
    | hskp21
    | ~ c2_1(a414)
    | ~ c0_1(a414)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_367,c_0_510]) ).

cnf(c_0_635,negated_conjecture,
    ( epred50_0
    | c2_1(a404)
    | hskp20
    | hskp21
    | ~ c0_1(a404)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_313,c_0_511]) ).

cnf(c_0_636,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred9_0
    | hskp12
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_512,c_0_293]) ).

cnf(c_0_637,negated_conjecture,
    ( epred30_0
    | epred3_0
    | hskp1
    | epred2_0
    | hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_513,c_0_514]) ).

cnf(c_0_638,negated_conjecture,
    ( epred11_0
    | epred3_0
    | hskp9
    | epred2_0
    | hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_515,c_0_514]) ).

cnf(c_0_639,negated_conjecture,
    ( epred51_0
    | epred37_0
    | hskp3
    | ~ c2_1(a414)
    | ~ c0_1(a414)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_367,c_0_516]) ).

cnf(c_0_640,negated_conjecture,
    ( epred35_0
    | epred1_0
    | c3_1(a430)
    | hskp11
    | ~ c2_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_517,c_0_344]) ).

cnf(c_0_641,negated_conjecture,
    ( epred45_0
    | epred34_0
    | hskp19
    | epred24_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_518,c_0_476]) ).

cnf(c_0_642,negated_conjecture,
    ( epred5_0
    | c1_1(a402)
    | c2_1(a402)
    | hskp28
    | epred22_0
    | hskp22
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_443,c_0_480]) ).

cnf(c_0_643,negated_conjecture,
    ( epred4_0
    | c0_1(a477)
    | epred15_0
    | hskp6
    | ~ c3_1(a477)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_294,c_0_519]) ).

cnf(c_0_644,negated_conjecture,
    ( epred51_0
    | epred8_0
    | epred1_0
    | ~ hskp15
    | ~ c2_1(a430) ),
    inference(spm,[status(thm)],[c_0_346,c_0_520]) ).

cnf(c_0_645,negated_conjecture,
    ( epred34_0
    | c1_1(a410)
    | c3_1(a410)
    | hskp19
    | epred46_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_365,c_0_521]) ).

cnf(c_0_646,negated_conjecture,
    ( epred34_0
    | c1_1(a410)
    | c3_1(a410)
    | hskp19
    | epred43_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_365,c_0_522]) ).

cnf(c_0_647,negated_conjecture,
    ( c0_1(a477)
    | hskp9
    | hskp27
    | epred5_0
    | hskp28
    | ~ c3_1(a477)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_648,negated_conjecture,
    ( c2_1(a477)
    | hskp2
    | hskp13
    | epred5_0
    | hskp28
    | ~ c3_1(a477)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_265,c_0_524]) ).

cnf(c_0_649,negated_conjecture,
    ( epred4_0
    | c0_1(a477)
    | epred5_0
    | hskp28
    | ~ c3_1(a477)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_294,c_0_524]) ).

cnf(c_0_650,negated_conjecture,
    ( c1_1(a416)
    | c0_1(a416)
    | hskp5
    | hskp26
    | epred5_0
    | hskp28
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_410,c_0_525]) ).

cnf(c_0_651,negated_conjecture,
    ( epred28_0
    | epred4_0
    | c2_1(a477)
    | ~ hskp24
    | ~ c3_1(a477) ),
    inference(spm,[status(thm)],[c_0_349,c_0_526]) ).

cnf(c_0_652,negated_conjecture,
    ( epred24_0
    | c3_1(a434)
    | c0_1(a434)
    | hskp14
    | epred6_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_249,c_0_270]) ).

cnf(c_0_653,negated_conjecture,
    ( epred2_0
    | c3_1(a460)
    | c2_1(a460)
    | hskp0
    | hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_416,c_0_527]) ).

cnf(c_0_654,negated_conjecture,
    ( c3_1(a450)
    | c2_1(a450)
    | hskp0
    | hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_400,c_0_527]) ).

cnf(c_0_655,negated_conjecture,
    ( c3_1(a403)
    | c2_1(a403)
    | hskp0
    | hskp27
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_528,c_0_527]) ).

cnf(c_0_656,negated_conjecture,
    ( epred23_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_657,negated_conjecture,
    ( epred31_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_333]),c_0_450]) ).

cnf(c_0_658,negated_conjecture,
    ( epred32_0
    | hskp2
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_282,c_0_532]) ).

cnf(c_0_659,negated_conjecture,
    ( epred2_0
    | hskp2
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_314,c_0_237]) ).

cnf(c_0_660,negated_conjecture,
    ( epred50_0
    | epred13_0
    | epred2_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_661,negated_conjecture,
    ( epred26_0
    | epred25_0
    | epred22_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_662,negated_conjecture,
    ( epred50_0
    | epred3_0
    | epred2_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_375,c_0_537]) ).

cnf(c_0_663,negated_conjecture,
    ( hskp0
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_351]),c_0_349]),c_0_444]) ).

cnf(c_0_664,negated_conjecture,
    ( epred4_0
    | hskp2
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_461,c_0_539]) ).

cnf(c_0_665,negated_conjecture,
    ( epred51_0
    | hskp23
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_506]),c_0_541]) ).

cnf(c_0_666,negated_conjecture,
    ( epred14_0
    | epred4_0
    | hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_542,c_0_504]) ).

cnf(c_0_667,negated_conjecture,
    ( epred22_0
    | hskp7
    | hskp16
    | hskp22
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_427,c_0_480]) ).

cnf(c_0_668,negated_conjecture,
    ( epred45_0
    | epred24_0
    | epred1_0
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_543,c_0_293]) ).

cnf(c_0_669,negated_conjecture,
    ( epred32_0
    | hskp2
    | hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_545]),c_0_348]) ).

cnf(c_0_670,negated_conjecture,
    ( epred33_0
    | hskp7
    | hskp16
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_671,negated_conjecture,
    ( epred44_0
    | epred24_0
    | hskp19
    | hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_475,c_0_548]) ).

cnf(c_0_672,negated_conjecture,
    ( epred48_0
    | epred8_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_412,c_0_549]) ).

cnf(c_0_673,negated_conjecture,
    ( epred14_0
    | epred4_0
    | hskp12
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_674,negated_conjecture,
    ( epred30_0
    | epred3_0
    | hskp1
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_513,c_0_552]) ).

cnf(c_0_675,negated_conjecture,
    ( epred4_0
    | hskp24
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_352]) ).

cnf(c_0_676,negated_conjecture,
    ( epred17_0
    | epred4_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_555,c_0_419]) ).

cnf(c_0_677,negated_conjecture,
    ( epred50_0
    | epred4_0
    | hskp24
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_352,c_0_556]) ).

cnf(c_0_678,negated_conjecture,
    ( epred3_0
    | epred1_0
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_557,c_0_552]) ).

cnf(c_0_679,negated_conjecture,
    ( epred37_0
    | epred22_0
    | epred1_0
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_680,negated_conjecture,
    ( epred32_0
    | epred26_0
    | epred22_0
    | hskp4
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_451,c_0_381]) ).

cnf(c_0_681,negated_conjecture,
    ( epred49_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_560]),c_0_175]),c_0_176]) ).

cnf(c_0_682,negated_conjecture,
    ( epred30_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_314,c_0_338]) ).

cnf(c_0_683,negated_conjecture,
    ( epred30_0
    | epred3_0
    | epred2_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_314,c_0_561]) ).

cnf(c_0_684,negated_conjecture,
    ( epred29_0
    | epred7_0
    | epred4_0
    | hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_685,negated_conjecture,
    ( epred44_0
    | epred24_0
    | epred7_0
    | epred4_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_564,c_0_563]) ).

cnf(c_0_686,negated_conjecture,
    ( epred38_0
    | epred24_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_565,c_0_476]) ).

cnf(c_0_687,negated_conjecture,
    ( epred44_0
    | epred24_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_475,c_0_431]) ).

cnf(c_0_688,negated_conjecture,
    ( epred51_0
    | epred38_0
    | epred24_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_565,c_0_566]) ).

cnf(c_0_689,negated_conjecture,
    ( epred24_0
    | epred2_0
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_567,c_0_459]) ).

cnf(c_0_690,negated_conjecture,
    ( epred33_0
    | epred22_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_568,c_0_559]) ).

cnf(c_0_691,negated_conjecture,
    ( epred22_0
    | epred3_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_557,c_0_559]) ).

cnf(c_0_692,negated_conjecture,
    ( epred22_0
    | epred3_0
    | epred1_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_557,c_0_569]) ).

cnf(c_0_693,negated_conjecture,
    ( epred51_0
    | epred31_0
    | epred20_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_570,c_0_571]) ).

cnf(c_0_694,negated_conjecture,
    ( epred47_0
    | epred44_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

cnf(c_0_695,negated_conjecture,
    ( epred47_0
    | epred1_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_487,c_0_573]) ).

cnf(c_0_696,negated_conjecture,
    ( epred47_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_483]),c_0_197]),c_0_198]) ).

cnf(c_0_697,negated_conjecture,
    ( epred45_0
    | epred5_0
    | hskp28
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_574,c_0_525]) ).

cnf(c_0_698,negated_conjecture,
    ( epred39_0
    | epred33_0
    | epred22_0
    | epred1_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_568,c_0_575]) ).

cnf(c_0_699,negated_conjecture,
    ( epred40_0
    | epred9_0
    | hskp12
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_576,c_0_361]) ).

cnf(c_0_700,negated_conjecture,
    ( epred51_0
    | epred3_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_367,c_0_210]) ).

cnf(c_0_701,negated_conjecture,
    ( epred51_0
    | epred31_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_702,negated_conjecture,
    ( epred50_0
    | epred4_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_579,c_0_424]) ).

cnf(c_0_703,negated_conjecture,
    ( epred43_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_441]),c_0_175]),c_0_176]) ).

cnf(c_0_704,negated_conjecture,
    ( epred41_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_580]),c_0_400]),c_0_399]) ).

cnf(c_0_705,negated_conjecture,
    ( epred40_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_295]),c_0_328]),c_0_329]) ).

cnf(c_0_706,negated_conjecture,
    ( epred39_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_396]),c_0_581]),c_0_582]) ).

cnf(c_0_707,negated_conjecture,
    ( epred33_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_179]),c_0_180]),c_0_181]) ).

cnf(c_0_708,negated_conjecture,
    ( epred33_0
    | epred2_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_583,c_0_433]) ).

cnf(c_0_709,negated_conjecture,
    ( epred31_0
    | epred2_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_567,c_0_481]) ).

cnf(c_0_710,negated_conjecture,
    ( epred21_0
    | epred12_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_288,c_0_584]) ).

cnf(c_0_711,negated_conjecture,
    ( epred21_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_243]),c_0_586]),c_0_587]) ).

cnf(c_0_712,negated_conjecture,
    ( epred8_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_391,c_0_588]) ).

cnf(c_0_713,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_589,c_0_472]),c_0_266]),c_0_310]) ).

cnf(c_0_714,negated_conjecture,
    ( ~ epred48_0
    | ~ epred45_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_590,c_0_275]),c_0_261]),c_0_250]) ).

cnf(c_0_715,negated_conjecture,
    ( ~ epred47_0
    | ~ epred33_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_395]),c_0_212]),c_0_325]) ).

cnf(c_0_716,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_275]),c_0_371]),c_0_368]) ).

cnf(c_0_717,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_593,c_0_169]),c_0_369]),c_0_324]) ).

cnf(c_0_718,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_594,c_0_206]),c_0_259]),c_0_485]) ).

cnf(c_0_719,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_595,c_0_392]),c_0_251]),c_0_326]) ).

cnf(c_0_720,negated_conjecture,
    ( ~ epred37_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_596,c_0_363]),c_0_325]) ).

cnf(c_0_721,negated_conjecture,
    ( ~ epred35_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_597,c_0_364]),c_0_205]) ).

cnf(c_0_722,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_598,c_0_309]),c_0_325]) ).

cnf(c_0_723,negated_conjecture,
    ( ~ epred33_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_599,c_0_306]),c_0_325]) ).

cnf(c_0_724,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_600,c_0_241]),c_0_250]) ).

cnf(c_0_725,negated_conjecture,
    ( ~ epred29_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_601,c_0_208]),c_0_205]) ).

cnf(c_0_726,negated_conjecture,
    ( ~ epred26_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_602,c_0_173]),c_0_387]) ).

cnf(c_0_727,negated_conjecture,
    ( ~ epred25_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_603,c_0_170]),c_0_387]) ).

cnf(c_0_728,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_604,c_0_207]),c_0_161]) ).

cnf(c_0_729,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_605,c_0_174]),c_0_161]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_606,c_0_394]),c_0_205]) ).

cnf(c_0_731,negated_conjecture,
    ( ~ epred15_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_607,c_0_366]),c_0_276]) ).

cnf(c_0_732,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_608,c_0_277]),c_0_251]) ).

cnf(c_0_733,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_609,c_0_308]),c_0_397]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_610,c_0_263]),c_0_276]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_611,c_0_389]),c_0_276]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_612,c_0_370]),c_0_172]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_613,c_0_206]),c_0_212]) ).

cnf(c_0_738,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp3 ),
    clause31 ).

cnf(c_0_739,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_638,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_403,c_0_657,c_0_493,c_0_658,c_0_659,c_0_660,c_0_661,c_0_332,c_0_662,c_0_229,c_0_663,c_0_238,c_0_664,c_0_183,c_0_665,c_0_666,c_0_504,c_0_420,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_348,c_0_673,c_0_674,c_0_675,c_0_501,c_0_676,c_0_419,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_513,c_0_682,c_0_683,c_0_428,c_0_684,c_0_316,c_0_685,c_0_686,c_0_564,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_457,c_0_697,c_0_698,c_0_699,c_0_280,c_0_235,c_0_700,c_0_541,c_0_701,c_0_702,c_0_375,c_0_412,c_0_475,c_0_572,c_0_703,c_0_704,c_0_705,c_0_706,c_0_707,c_0_708,c_0_568,c_0_709,c_0_234,c_0_710,c_0_711,c_0_555,c_0_542,c_0_712,c_0_352,c_0_264,c_0_314,c_0_713,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_725,c_0_726,c_0_727,c_0_728,c_0_729,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_735,c_0_736,c_0_529,c_0_737,c_0_178,c_0_176,c_0_582,c_0_581,c_0_150,c_0_194,c_0_193,c_0_330,c_0_329,c_0_346,c_0_216,c_0_218,c_0_399,c_0_400,c_0_202,c_0_201,c_0_444,c_0_349,c_0_351,c_0_181,c_0_345,c_0_180,c_0_148,c_0_179,c_0_738,c_0_138]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN469-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n004.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 21:29:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 4.61/4.74  % Version  : CSE_E---1.5
% 4.61/4.74  % Problem  : theBenchmark.p
% 4.61/4.74  % Proof found
% 4.61/4.74  % SZS status Theorem for theBenchmark.p
% 4.61/4.74  % SZS output start Proof
% See solution above
% 4.71/4.76  % Total time : 4.158000 s
% 4.71/4.76  % SZS output end Proof
% 4.71/4.76  % Total time : 4.164000 s
%------------------------------------------------------------------------------