TSTP Solution File: SYN470-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n018.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 01:52:10 EDT 2023

% Result   : Unsatisfiable 4.71s 4.95s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  332
% Syntax   : Number of formulae    : 1102 (   2 unt; 125 typ;   0 def)
%            Number of atoms       : 3852 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4397 (1522   ~;2823   |;   0   &)
%                                         (  52 <=>;   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  :   94 (  93 usr;  90 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  316 (   0 sgn;  52   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp31: $o ).

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

tff(decl_24,type,
    hskp30: $o ).

tff(decl_25,type,
    hskp29: $o ).

tff(decl_26,type,
    hskp28: $o ).

tff(decl_27,type,
    hskp27: $o ).

tff(decl_28,type,
    hskp26: $o ).

tff(decl_29,type,
    hskp25: $o ).

tff(decl_30,type,
    hskp24: $o ).

tff(decl_31,type,
    hskp23: $o ).

tff(decl_32,type,
    hskp22: $o ).

tff(decl_33,type,
    hskp21: $o ).

tff(decl_34,type,
    hskp20: $o ).

tff(decl_35,type,
    hskp19: $o ).

tff(decl_36,type,
    hskp18: $o ).

tff(decl_37,type,
    hskp17: $o ).

tff(decl_38,type,
    hskp16: $o ).

tff(decl_39,type,
    hskp15: $o ).

tff(decl_40,type,
    hskp14: $o ).

tff(decl_41,type,
    hskp13: $o ).

tff(decl_42,type,
    hskp12: $o ).

tff(decl_43,type,
    hskp11: $o ).

tff(decl_44,type,
    hskp10: $o ).

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

tff(decl_46,type,
    hskp8: $o ).

tff(decl_47,type,
    hskp7: $o ).

tff(decl_48,type,
    hskp6: $o ).

tff(decl_49,type,
    hskp5: $o ).

tff(decl_50,type,
    hskp4: $o ).

tff(decl_51,type,
    hskp3: $o ).

tff(decl_52,type,
    hskp2: $o ).

tff(decl_53,type,
    hskp1: $o ).

tff(decl_54,type,
    hskp0: $o ).

tff(decl_55,type,
    a522: $i ).

tff(decl_56,type,
    c0_1: $i > $o ).

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

tff(decl_58,type,
    c2_1: $i > $o ).

tff(decl_59,type,
    a512: $i ).

tff(decl_60,type,
    c3_1: $i > $o ).

tff(decl_61,type,
    a504: $i ).

tff(decl_62,type,
    a500: $i ).

tff(decl_63,type,
    a568: $i ).

tff(decl_64,type,
    a558: $i ).

tff(decl_65,type,
    a554: $i ).

tff(decl_66,type,
    a541: $i ).

tff(decl_67,type,
    a540: $i ).

tff(decl_68,type,
    a538: $i ).

tff(decl_69,type,
    a534: $i ).

tff(decl_70,type,
    a533: $i ).

tff(decl_71,type,
    a532: $i ).

tff(decl_72,type,
    a530: $i ).

tff(decl_73,type,
    a528: $i ).

tff(decl_74,type,
    a527: $i ).

tff(decl_75,type,
    a520: $i ).

tff(decl_76,type,
    a514: $i ).

tff(decl_77,type,
    a510: $i ).

tff(decl_78,type,
    a509: $i ).

tff(decl_79,type,
    a507: $i ).

tff(decl_80,type,
    a505: $i ).

tff(decl_81,type,
    a501: $i ).

tff(decl_82,type,
    a499: $i ).

tff(decl_83,type,
    a498: $i ).

tff(decl_84,type,
    a497: $i ).

tff(decl_85,type,
    a495: $i ).

tff(decl_86,type,
    a494: $i ).

tff(decl_87,type,
    a559: $i ).

tff(decl_88,type,
    a536: $i ).

tff(decl_89,type,
    a502: $i ).

tff(decl_90,type,
    a496: $i ).

tff(decl_91,type,
    epred1_0: $o ).

tff(decl_92,type,
    epred2_0: $o ).

tff(decl_93,type,
    epred3_0: $o ).

tff(decl_94,type,
    epred4_0: $o ).

tff(decl_95,type,
    epred5_0: $o ).

tff(decl_96,type,
    epred6_0: $o ).

tff(decl_97,type,
    epred7_0: $o ).

tff(decl_98,type,
    epred8_0: $o ).

tff(decl_99,type,
    epred9_0: $o ).

tff(decl_100,type,
    epred10_0: $o ).

tff(decl_101,type,
    epred11_0: $o ).

tff(decl_102,type,
    epred12_0: $o ).

tff(decl_103,type,
    epred13_0: $o ).

tff(decl_104,type,
    epred14_0: $o ).

tff(decl_105,type,
    epred15_0: $o ).

tff(decl_106,type,
    epred16_0: $o ).

tff(decl_107,type,
    epred17_0: $o ).

tff(decl_108,type,
    epred18_0: $o ).

tff(decl_109,type,
    epred19_0: $o ).

tff(decl_110,type,
    epred20_0: $o ).

tff(decl_111,type,
    epred21_0: $o ).

tff(decl_112,type,
    epred22_0: $o ).

tff(decl_113,type,
    epred23_0: $o ).

tff(decl_114,type,
    epred24_0: $o ).

tff(decl_115,type,
    epred25_0: $o ).

tff(decl_116,type,
    epred26_0: $o ).

tff(decl_117,type,
    epred27_0: $o ).

tff(decl_118,type,
    epred28_0: $o ).

tff(decl_119,type,
    epred29_0: $o ).

tff(decl_120,type,
    epred30_0: $o ).

tff(decl_121,type,
    epred31_0: $o ).

tff(decl_122,type,
    epred32_0: $o ).

tff(decl_123,type,
    epred33_0: $o ).

tff(decl_124,type,
    epred34_0: $o ).

tff(decl_125,type,
    epred35_0: $o ).

tff(decl_126,type,
    epred36_0: $o ).

tff(decl_127,type,
    epred37_0: $o ).

tff(decl_128,type,
    epred38_0: $o ).

tff(decl_129,type,
    epred39_0: $o ).

tff(decl_130,type,
    epred40_0: $o ).

tff(decl_131,type,
    epred41_0: $o ).

tff(decl_132,type,
    epred42_0: $o ).

tff(decl_133,type,
    epred43_0: $o ).

tff(decl_134,type,
    epred44_0: $o ).

tff(decl_135,type,
    epred45_0: $o ).

tff(decl_136,type,
    epred46_0: $o ).

tff(decl_137,type,
    epred47_0: $o ).

tff(decl_138,type,
    epred48_0: $o ).

tff(decl_139,type,
    epred49_0: $o ).

tff(decl_140,type,
    epred50_0: $o ).

tff(decl_141,type,
    epred51_0: $o ).

tff(decl_142,type,
    epred52_0: $o ).

tff(decl_143,type,
    epred53_0: $o ).

tff(decl_144,type,
    epred54_0: $o ).

tff(decl_145,type,
    epred55_0: $o ).

tff(decl_146,type,
    epred56_0: $o ).

cnf(clause11,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

cnf(clause35,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(clause4,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause12,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

cnf(clause156,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause52,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause88,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause87,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause134,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause110,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause147,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(clause113,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause72,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(clause73,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause68,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause96,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause57,negated_conjecture,
    ( c1_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause135,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(clause116,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(clause75,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause76,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause89,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause90,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause37,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause115,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(clause74,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause114,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause112,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause71,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause70,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause33,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(clause55,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(clause94,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause95,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause77,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause117,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause118,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(clause107,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(clause106,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(clause64,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(clause38,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(clause153,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

cnf(clause123,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause80,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause81,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause36,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(clause158,negated_conjecture,
    ( hskp27
    | hskp19
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(clause79,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause119,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause78,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause59,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause97,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(clause154,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(clause146,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(clause152,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause103,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause61,negated_conjecture,
    ( c1_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(clause104,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(clause51,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause50,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause49,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause144,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

cnf(clause157,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

cnf(clause60,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause98,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(clause99,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause126,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause84,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause125,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause164,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause48,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause46,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(clause139,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp8
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

cnf(clause160,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause100,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause142,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp12
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(clause34,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(clause177,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(clause165,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(clause130,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause129,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(clause131,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(clause92,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause93,negated_conjecture,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(clause85,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(clause127,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause128,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause45,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause43,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause44,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause83,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause82,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause124,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause122,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause120,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause121,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause184,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

cnf(clause150,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

cnf(clause140,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(clause192,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

cnf(clause86,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(clause132,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(clause133,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause195,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

cnf(clause159,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause170,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(clause63,negated_conjecture,
    ( c2_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(clause105,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a533)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause137,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp19
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause136,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp11
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(clause169,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(clause191,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(clause168,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(clause190,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

cnf(clause66,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(clause108,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause65,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(clause42,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(clause40,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause41,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(clause196,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

cnf(clause194,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

cnf(clause193,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

cnf(clause189,negated_conjecture,
    ( c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

cnf(clause188,negated_conjecture,
    ( c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(clause187,negated_conjecture,
    ( c2_1(X2)
    | hskp31
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(clause181,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(clause178,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(clause180,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause186,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

cnf(clause183,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(clause185,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause182,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(clause166,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause171,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(clause172,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(clause174,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause176,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp21
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(clause162,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause163,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(clause161,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause39,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(c_0_155,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    clause11 ).

cnf(c_0_156,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    clause35 ).

cnf(c_0_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    clause4 ).

cnf(c_0_158,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    clause12 ).

fof(c_0_159,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_160,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_161,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_158]) ).

fof(c_0_162,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_163,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_164,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause156 ).

fof(c_0_165,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_166,negated_conjecture,
    ( epred47_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

cnf(c_0_167,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    clause53 ).

cnf(c_0_168,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    clause52 ).

cnf(c_0_169,negated_conjecture,
    ( epred9_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_161])]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    clause88 ).

cnf(c_0_171,negated_conjecture,
    ( epred22_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_162]) ).

cnf(c_0_172,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    clause87 ).

cnf(c_0_173,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    clause134 ).

cnf(c_0_174,negated_conjecture,
    ( epred14_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_163]) ).

fof(c_0_175,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp0
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_161])]) ).

cnf(c_0_177,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_165]) ).

fof(c_0_178,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( hskp23
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_179,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_180,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp28
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_181,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_182,negated_conjecture,
    ( epred47_0
    | ~ c2_1(a568)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).

cnf(c_0_183,negated_conjecture,
    ( epred9_0
    | c2_1(a568)
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_167]),c_0_170]) ).

fof(c_0_184,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_185,negated_conjecture,
    ( epred22_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).

cnf(c_0_186,negated_conjecture,
    ( epred14_0
    | c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_172]),c_0_173]) ).

cnf(c_0_187,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_161])]) ).

cnf(c_0_188,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    clause69 ).

cnf(c_0_189,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    clause110 ).

cnf(c_0_190,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    clause111 ).

cnf(c_0_191,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

fof(c_0_192,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_193,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_194,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    clause113 ).

cnf(c_0_195,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    clause72 ).

cnf(c_0_196,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    clause73 ).

cnf(c_0_197,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_198,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    clause68 ).

cnf(c_0_199,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    clause67 ).

fof(c_0_200,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp22
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_201,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( hskp24
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    clause96 ).

cnf(c_0_203,negated_conjecture,
    ( c0_1(a541)
    | ~ hskp23 ),
    clause56 ).

cnf(c_0_204,negated_conjecture,
    ( c1_1(a541)
    | ~ hskp23 ),
    clause57 ).

cnf(c_0_205,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | hskp23
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_161])]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    clause109 ).

cnf(c_0_207,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_179]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    clause135 ).

fof(c_0_209,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_210,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | hskp28
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_161])]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    clause116 ).

cnf(c_0_212,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    clause75 ).

cnf(c_0_213,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    clause76 ).

cnf(c_0_214,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    clause91 ).

cnf(c_0_215,negated_conjecture,
    ( epred50_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_181]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    clause89 ).

cnf(c_0_217,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    clause90 ).

cnf(c_0_218,negated_conjecture,
    ( epred47_0
    | epred9_0
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_219,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp26 ),
    clause37 ).

cnf(c_0_220,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    clause115 ).

cnf(c_0_221,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_184]) ).

cnf(c_0_222,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    clause74 ).

cnf(c_0_223,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    clause114 ).

cnf(c_0_224,negated_conjecture,
    ( epred22_0
    | epred14_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_225,negated_conjecture,
    ( epred3_0
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_190]) ).

cnf(c_0_226,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp12
    | hskp20
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_161])]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    clause112 ).

cnf(c_0_228,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_192]),c_0_161])]) ).

cnf(c_0_229,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    clause71 ).

fof(c_0_230,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_231,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_232,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    clause70 ).

cnf(c_0_233,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_193]) ).

cnf(c_0_234,negated_conjecture,
    ( epred12_0
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_177]),c_0_195]) ).

cnf(c_0_235,negated_conjecture,
    ( epred22_0
    | c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_196]),c_0_195]) ).

cnf(c_0_236,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_237,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    clause33 ).

cnf(c_0_238,negated_conjecture,
    ( epred5_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_200]),c_0_161])]) ).

cnf(c_0_239,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    clause55 ).

cnf(c_0_240,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    clause94 ).

cnf(c_0_241,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    clause95 ).

cnf(c_0_242,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | hskp24
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_161])]) ).

cnf(c_0_243,negated_conjecture,
    ( epred12_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_177]),c_0_203]),c_0_204]) ).

cnf(c_0_244,negated_conjecture,
    ( epred15_0
    | hskp23
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_198]),c_0_199]),c_0_206]) ).

cnf(c_0_245,negated_conjecture,
    ( epred39_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_172]),c_0_208]) ).

cnf(c_0_246,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_161])]) ).

fof(c_0_247,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_248,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_249,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( hskp15
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_250,negated_conjecture,
    ( epred13_0
    | hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_167]),c_0_168]),c_0_170]) ).

cnf(c_0_251,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    clause77 ).

cnf(c_0_252,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    clause117 ).

cnf(c_0_253,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    clause118 ).

cnf(c_0_254,negated_conjecture,
    ( epred12_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_177]),c_0_212]) ).

cnf(c_0_255,negated_conjecture,
    ( epred9_0
    | c1_1(a509)
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_213]),c_0_211]) ).

cnf(c_0_256,negated_conjecture,
    ( epred50_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]) ).

cnf(c_0_257,negated_conjecture,
    ( epred47_0
    | epred9_0
    | hskp9
    | hskp10
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    clause107 ).

cnf(c_0_259,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    clause106 ).

cnf(c_0_260,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    clause64 ).

cnf(c_0_261,negated_conjecture,
    ( epred10_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223]) ).

cnf(c_0_262,negated_conjecture,
    ( hskp11
    | hskp17
    | hskp26 ),
    clause38 ).

fof(c_0_263,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_264,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_265,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp10
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_266,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause153 ).

cnf(c_0_267,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    clause123 ).

cnf(c_0_268,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    clause80 ).

cnf(c_0_269,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    clause81 ).

cnf(c_0_270,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_271,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp14 ),
    clause36 ).

cnf(c_0_272,negated_conjecture,
    ( hskp12
    | hskp20
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_188]),c_0_189]),c_0_190]) ).

cnf(c_0_273,negated_conjecture,
    ( epred49_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]) ).

cnf(c_0_274,negated_conjecture,
    ( c1_1(a520)
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_229]),c_0_227]) ).

fof(c_0_275,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_276,negated_conjecture,
    ( hskp27
    | hskp19
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause158 ).

cnf(c_0_277,negated_conjecture,
    ( epred25_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_230]) ).

fof(c_0_278,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( hskp17
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_279,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    clause79 ).

cnf(c_0_280,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    clause119 ).

cnf(c_0_281,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_231]) ).

cnf(c_0_282,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    clause78 ).

cnf(c_0_283,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_229]),c_0_232]) ).

cnf(c_0_284,negated_conjecture,
    ( epred6_0
    | c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_233]),c_0_232]) ).

cnf(c_0_285,negated_conjecture,
    ( epred22_0
    | epred12_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_286,negated_conjecture,
    ( epred12_0
    | hskp8
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_287,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    clause59 ).

cnf(c_0_288,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    clause58 ).

cnf(c_0_289,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    clause97 ).

cnf(c_0_290,negated_conjecture,
    ( epred5_0
    | hskp22
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_241]) ).

cnf(c_0_291,negated_conjecture,
    ( epred34_0
    | hskp24
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_229]),c_0_232]),c_0_227]) ).

cnf(c_0_292,negated_conjecture,
    ( epred15_0
    | epred12_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_293,negated_conjecture,
    ( epred12_0
    | ~ c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_177]),c_0_239]) ).

cnf(c_0_294,negated_conjecture,
    ( epred6_0
    | c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_233]),c_0_239]) ).

fof(c_0_295,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause154 ).

cnf(c_0_297,negated_conjecture,
    ( epred39_0
    | epred14_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_186]) ).

cnf(c_0_298,negated_conjecture,
    ( epred52_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_246]),c_0_199]),c_0_198]) ).

cnf(c_0_299,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

fof(c_0_300,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( hskp21
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_301,negated_conjecture,
    ( c2_1(X1)
    | hskp5
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause152 ).

cnf(c_0_302,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_247]) ).

cnf(c_0_303,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_248]) ).

fof(c_0_304,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_305,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_249]),c_0_161])]) ).

cnf(c_0_306,negated_conjecture,
    ( epred13_0
    | c1_1(a509)
    | hskp28
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_213]),c_0_212]) ).

cnf(c_0_307,negated_conjecture,
    ( epred13_0
    | hskp10
    | hskp26
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_250,c_0_219]) ).

cnf(c_0_308,negated_conjecture,
    ( epred14_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_251]),c_0_252]),c_0_253]) ).

cnf(c_0_309,negated_conjecture,
    ( epred12_0
    | epred9_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_310,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred9_0
    | hskp9
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_311,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_221]),c_0_259]) ).

cnf(c_0_312,negated_conjecture,
    ( epred14_0
    | c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_260]),c_0_259]) ).

cnf(c_0_313,negated_conjecture,
    ( epred10_0
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_314,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_263]),c_0_161])]) ).

cnf(c_0_315,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_264]) ).

cnf(c_0_316,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp10
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_265]),c_0_161])]) ).

cnf(c_0_317,negated_conjecture,
    ( c2_1(X1)
    | hskp10
    | hskp15
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_161])]) ).

cnf(c_0_318,negated_conjecture,
    ( epred3_0
    | c1_1(a520)
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_229]),c_0_227]) ).

cnf(c_0_319,negated_conjecture,
    ( epred49_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_228]),c_0_268]),c_0_269]) ).

cnf(c_0_320,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

fof(c_0_321,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp13
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_272,c_0_271]) ).

cnf(c_0_323,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

fof(c_0_324,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_325,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( hskp29
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_326,negated_conjecture,
    ( ~ c2_1(a534)
    | ~ hskp19 ),
    clause103 ).

cnf(c_0_327,negated_conjecture,
    ( c1_1(a534)
    | ~ hskp19 ),
    clause61 ).

cnf(c_0_328,negated_conjecture,
    ( ~ c3_1(a534)
    | ~ hskp19 ),
    clause104 ).

cnf(c_0_329,negated_conjecture,
    ( epred53_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_275]) ).

cnf(c_0_330,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_161])]) ).

cnf(c_0_331,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    clause51 ).

cnf(c_0_332,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    clause50 ).

cnf(c_0_333,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    clause49 ).

cnf(c_0_334,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_260]),c_0_259]) ).

cnf(c_0_335,negated_conjecture,
    ( epred38_0
    | c3_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_278]),c_0_161])]) ).

cnf(c_0_336,negated_conjecture,
    ( epred25_0
    | c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_213]),c_0_212]) ).

cnf(c_0_337,negated_conjecture,
    ( epred22_0
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_279]),c_0_280]) ).

cnf(c_0_338,negated_conjecture,
    ( epred28_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_280]) ).

cnf(c_0_339,negated_conjecture,
    ( epred6_0
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_340,negated_conjecture,
    ( epred22_0
    | epred12_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_341,negated_conjecture,
    ( epred22_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_287]),c_0_288]),c_0_289]) ).

cnf(c_0_342,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_343,negated_conjecture,
    ( epred15_0
    | epred12_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_292,c_0_237]) ).

cnf(c_0_344,negated_conjecture,
    ( epred12_0
    | epred6_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

fof(c_0_345,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( hskp1
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_346,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( hskp2
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_347,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( hskp2
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_348,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_349,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_161])]) ).

cnf(c_0_350,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause144 ).

cnf(c_0_351,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp26
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_161])]) ).

cnf(c_0_352,negated_conjecture,
    ( epred25_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_167]),c_0_168]),c_0_170]) ).

cnf(c_0_353,negated_conjecture,
    ( hskp13
    | hskp3
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause157 ).

cnf(c_0_354,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_297,c_0_225]) ).

cnf(c_0_355,negated_conjecture,
    ( epred52_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_246]),c_0_232]) ).

cnf(c_0_356,negated_conjecture,
    ( epred39_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_196]),c_0_195]),c_0_194]) ).

cnf(c_0_357,negated_conjecture,
    ( epred52_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_298,c_0_237]) ).

fof(c_0_358,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp7
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_359,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp5
    | hskp7
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_161])]) ).

cnf(c_0_360,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    clause60 ).

cnf(c_0_361,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    clause98 ).

cnf(c_0_362,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    clause99 ).

cnf(c_0_363,negated_conjecture,
    ( epred16_0
    | c3_1(X1)
    | hskp21
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_161])]) ).

fof(c_0_364,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_365,negated_conjecture,
    ( c2_1(X1)
    | hskp4
    | hskp5
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_161])]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    clause126 ).

cnf(c_0_367,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    clause84 ).

cnf(c_0_368,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    clause125 ).

cnf(c_0_369,negated_conjecture,
    ( epred35_0
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_196]),c_0_194]) ).

cnf(c_0_370,negated_conjecture,
    ( epred8_0
    | c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_303]),c_0_195]) ).

fof(c_0_371,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( hskp0
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_372,negated_conjecture,
    ( epred54_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_304]) ).

cnf(c_0_373,negated_conjecture,
    ( epred40_0
    | hskp15
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_195]),c_0_194]) ).

cnf(c_0_374,negated_conjecture,
    ( epred13_0
    | epred12_0
    | hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_254,c_0_306]) ).

cnf(c_0_375,negated_conjecture,
    ( epred50_0
    | epred13_0
    | hskp10
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_256,c_0_307]) ).

cnf(c_0_376,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause164 ).

cnf(c_0_377,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred9_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_378,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred9_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_308,c_0_310]) ).

cnf(c_0_379,negated_conjecture,
    ( epred14_0
    | epred10_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_380,negated_conjecture,
    ( epred50_0
    | epred10_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_256,c_0_313]) ).

fof(c_0_381,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_382,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_188]),c_0_190]) ).

cnf(c_0_383,negated_conjecture,
    ( epred2_0
    | c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_315]),c_0_189]) ).

cnf(c_0_384,negated_conjecture,
    ( epred8_0
    | ~ c1_1(a494)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_303]),c_0_173]) ).

cnf(c_0_385,negated_conjecture,
    ( epred21_0
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_222]),c_0_223]),c_0_220]) ).

fof(c_0_386,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_387,negated_conjecture,
    ( hskp10
    | hskp15
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_260]),c_0_258]) ).

cnf(c_0_388,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    clause48 ).

cnf(c_0_389,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    clause47 ).

cnf(c_0_390,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    clause46 ).

cnf(c_0_391,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp8
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause139 ).

cnf(c_0_392,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2)
    | hskp0
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause160 ).

cnf(c_0_393,negated_conjecture,
    ( epred49_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_273,c_0_318]) ).

cnf(c_0_394,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    clause102 ).

cnf(c_0_396,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_321]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    clause100 ).

cnf(c_0_398,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    clause101 ).

cnf(c_0_399,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_322]),c_0_323]) ).

cnf(c_0_400,negated_conjecture,
    ( epred51_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_161])]) ).

cnf(c_0_401,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | hskp29
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_325]),c_0_161])]) ).

cnf(c_0_402,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp12
    | hskp8
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause142 ).

cnf(c_0_403,negated_conjecture,
    ( epred12_0
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_177]),c_0_327]) ).

cnf(c_0_404,negated_conjecture,
    ( epred53_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_327]) ).

cnf(c_0_405,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).

cnf(c_0_406,negated_conjecture,
    ( epred25_0
    | c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_331]),c_0_333]) ).

cnf(c_0_407,negated_conjecture,
    ( epred25_0
    | epred14_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_334,c_0_312]) ).

cnf(c_0_408,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_229]),c_0_232]),c_0_227]) ).

cnf(c_0_409,negated_conjecture,
    ( epred25_0
    | epred12_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_254,c_0_336]) ).

cnf(c_0_410,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    clause34 ).

cnf(c_0_411,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause177 ).

cnf(c_0_412,negated_conjecture,
    ( epred28_0
    | epred22_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_413,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred6_0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_339]),c_0_340]) ).

cnf(c_0_414,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause165 ).

cnf(c_0_415,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred5_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_416,negated_conjecture,
    ( epred22_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_343]) ).

cnf(c_0_417,negated_conjecture,
    ( epred34_0
    | epred12_0
    | epred6_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_344,c_0_291]) ).

fof(c_0_418,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp8
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_419,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp1
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_161])]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    clause130 ).

cnf(c_0_421,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    clause129 ).

cnf(c_0_422,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    clause131 ).

cnf(c_0_423,negated_conjecture,
    ( epred43_0
    | c2_1(X1)
    | hskp2
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_346]),c_0_161])]) ).

cnf(c_0_424,negated_conjecture,
    ( epred46_0
    | c3_1(X1)
    | hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_347]),c_0_161])]) ).

fof(c_0_425,plain,
    ( ~ epred55_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_426,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_161])]) ).

cnf(c_0_427,negated_conjecture,
    ( epred7_0
    | hskp9
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_222]),c_0_223]),c_0_220]) ).

fof(c_0_428,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_429,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp13
    | hskp30
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_161])]) ).

cnf(c_0_430,negated_conjecture,
    ( c2_1(a558)
    | ~ hskp25 ),
    clause54 ).

cnf(c_0_431,negated_conjecture,
    ( ~ c0_1(a558)
    | ~ hskp25 ),
    clause92 ).

cnf(c_0_432,negated_conjecture,
    ( ~ c3_1(a558)
    | ~ hskp25 ),
    clause93 ).

cnf(c_0_433,negated_conjecture,
    ( hskp25
    | hskp26
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_213]),c_0_211]) ).

cnf(c_0_434,negated_conjecture,
    ( epred25_0
    | hskp10
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_352,c_0_219]) ).

cnf(c_0_435,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    clause85 ).

cnf(c_0_436,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    clause127 ).

cnf(c_0_437,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    clause128 ).

cnf(c_0_438,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_161])]) ).

cnf(c_0_439,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    clause45 ).

cnf(c_0_440,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    clause43 ).

cnf(c_0_441,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    clause44 ).

cnf(c_0_442,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_354,c_0_271]) ).

cnf(c_0_443,negated_conjecture,
    ( epred52_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_355,c_0_318]) ).

cnf(c_0_444,negated_conjecture,
    ( epred52_0
    | epred39_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_445,negated_conjecture,
    ( epred52_0
    | hskp12
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_274]),c_0_357]) ).

cnf(c_0_446,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | hskp7
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_358]),c_0_161])]) ).

cnf(c_0_447,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    clause83 ).

cnf(c_0_448,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    clause82 ).

cnf(c_0_449,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    clause124 ).

cnf(c_0_450,negated_conjecture,
    ( hskp5
    | hskp7
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]),c_0_362]) ).

cnf(c_0_451,negated_conjecture,
    ( epred16_0
    | hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_269]),c_0_268]),c_0_267]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    clause122 ).

cnf(c_0_453,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    clause120 ).

cnf(c_0_454,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    clause121 ).

fof(c_0_455,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_456,negated_conjecture,
    ( epred18_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_364]) ).

cnf(c_0_457,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_195]),c_0_194]) ).

cnf(c_0_458,negated_conjecture,
    ( epred8_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_303]),c_0_367]),c_0_368]) ).

cnf(c_0_459,negated_conjecture,
    ( epred35_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_460,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_371]),c_0_161])]) ).

cnf(c_0_461,negated_conjecture,
    ( epred54_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_172]),c_0_173]),c_0_208]) ).

cnf(c_0_462,negated_conjecture,
    ( epred40_0
    | epred8_0
    | hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_373,c_0_370]) ).

cnf(c_0_463,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause184 ).

cnf(c_0_464,negated_conjecture,
    ( epred47_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_331]),c_0_333]),c_0_332]) ).

cnf(c_0_465,negated_conjecture,
    ( epred50_0
    | epred13_0
    | epred12_0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_376,c_0_160]),c_0_184]) ).

cnf(c_0_467,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred12_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_468,negated_conjecture,
    ( epred50_0
    | epred14_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_380]) ).

fof(c_0_469,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( hskp20
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_470,plain,
    ( ~ epred56_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_471,negated_conjecture,
    ( epred41_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_381]),c_0_161])]) ).

cnf(c_0_472,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_269]),c_0_267]) ).

cnf(c_0_473,negated_conjecture,
    ( epred53_0
    | c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_329]),c_0_268]) ).

cnf(c_0_474,negated_conjecture,
    ( epred27_0
    | epred2_0
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_475,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_229]),c_0_232]),c_0_227]) ).

cnf(c_0_476,negated_conjecture,
    ( epred14_0
    | epred8_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_186]) ).

cnf(c_0_477,negated_conjecture,
    ( epred39_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_213]),c_0_211]) ).

cnf(c_0_478,negated_conjecture,
    ( epred9_0
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_260]),c_0_259]),c_0_258]) ).

cnf(c_0_479,negated_conjecture,
    ( epred21_0
    | hskp10
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_385,c_0_262]) ).

cnf(c_0_480,negated_conjecture,
    ( epred8_0
    | ~ c1_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_303]),c_0_216]) ).

cnf(c_0_481,negated_conjecture,
    ( epred2_0
    | c1_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_315]),c_0_216]) ).

cnf(c_0_482,negated_conjecture,
    ( epred31_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_386]) ).

cnf(c_0_483,negated_conjecture,
    ( epred7_0
    | c1_1(a509)
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_212]),c_0_211]) ).

cnf(c_0_484,negated_conjecture,
    ( epred14_0
    | hskp10
    | hskp15
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_387,c_0_312]) ).

cnf(c_0_485,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_246]),c_0_327]) ).

cnf(c_0_486,negated_conjecture,
    ( epred8_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_303]),c_0_327]) ).

cnf(c_0_487,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_388]),c_0_389]) ).

cnf(c_0_488,negated_conjecture,
    ( epred35_0
    | c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_388]),c_0_390]) ).

cnf(c_0_489,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp29
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_161])]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_392,c_0_175]),c_0_321]) ).

cnf(c_0_491,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_393]),c_0_394]) ).

cnf(c_0_492,negated_conjecture,
    ( epred4_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_397]),c_0_398]) ).

cnf(c_0_493,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred12_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_285,c_0_399]) ).

fof(c_0_494,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( hskp2
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_495,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_204]),c_0_203]),c_0_202]) ).

cnf(c_0_496,negated_conjecture,
    ( epred47_0
    | ~ c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_388]),c_0_390]) ).

cnf(c_0_497,negated_conjecture,
    ( epred51_0
    | c2_1(a504)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_388]),c_0_389]) ).

cnf(c_0_498,negated_conjecture,
    ( epred32_0
    | c1_1(a505)
    | hskp29
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_279]),c_0_282]) ).

cnf(c_0_499,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp12
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_161])]) ).

cnf(c_0_500,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp16
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause150 ).

cnf(c_0_501,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause140 ).

cnf(c_0_502,negated_conjecture,
    ( epred53_0
    | epred12_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_503,negated_conjecture,
    ( epred25_0
    | hskp19
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_352]) ).

cnf(c_0_504,negated_conjecture,
    ( epred38_0
    | epred25_0
    | epred14_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_505,negated_conjecture,
    ( epred25_0
    | epred12_0
    | hskp13
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_506,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_279]),c_0_282]) ).

cnf(c_0_507,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause192 ).

cnf(c_0_508,negated_conjecture,
    ( ~ epred15_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_411,c_0_178]),c_0_193]) ).

cnf(c_0_509,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred12_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_200]),c_0_193]) ).

cnf(c_0_511,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_512,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_416]) ).

cnf(c_0_513,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_418]),c_0_161])]) ).

cnf(c_0_514,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    clause86 ).

cnf(c_0_515,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    clause132 ).

cnf(c_0_516,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    clause133 ).

cnf(c_0_517,negated_conjecture,
    ( epred1_0
    | c1_1(a520)
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_232]),c_0_227]) ).

cnf(c_0_518,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_233]) ).

cnf(c_0_519,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_221]),c_0_421]) ).

cnf(c_0_520,negated_conjecture,
    ( epred50_0
    | c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_215]),c_0_420]) ).

cnf(c_0_521,negated_conjecture,
    ( epred43_0
    | hskp2
    | ~ c0_1(a514)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_196]),c_0_194]) ).

cnf(c_0_522,negated_conjecture,
    ( epred46_0
    | hskp2
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_198]),c_0_199]),c_0_206]) ).

cnf(c_0_523,negated_conjecture,
    ( epred55_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_425]) ).

cnf(c_0_524,negated_conjecture,
    ( epred11_0
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_426]),c_0_216]),c_0_217]) ).

cnf(c_0_525,negated_conjecture,
    ( epred7_0
    | hskp9
    | hskp17
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_427,c_0_262]) ).

fof(c_0_526,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_527,negated_conjecture,
    ( epred45_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_428]) ).

cnf(c_0_528,negated_conjecture,
    ( hskp13
    | hskp30
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]),c_0_432]) ).

cnf(c_0_529,negated_conjecture,
    ( epred25_0
    | hskp25
    | hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_336]),c_0_434]) ).

cnf(c_0_530,negated_conjecture,
    ( epred28_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_435]),c_0_436]),c_0_437]) ).

cnf(c_0_531,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_440]),c_0_441]) ).

cnf(c_0_532,negated_conjecture,
    ( hskp25
    | hskp26
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_196]),c_0_195]),c_0_194]) ).

cnf(c_0_533,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_442]) ).

cnf(c_0_534,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_443]),c_0_444]) ).

cnf(c_0_535,negated_conjecture,
    ( epred52_0
    | epred39_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_356,c_0_445]) ).

fof(c_0_536,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( hskp20
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_537,negated_conjecture,
    ( epred26_0
    | hskp7
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_448]),c_0_449]) ).

cnf(c_0_538,negated_conjecture,
    ( epred16_0
    | hskp5
    | hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_539,negated_conjecture,
    ( epred26_0
    | hskp7
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_188]),c_0_189]) ).

cnf(c_0_540,negated_conjecture,
    ( epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_315]),c_0_453]),c_0_454]) ).

cnf(c_0_541,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_455]) ).

cnf(c_0_542,negated_conjecture,
    ( epred18_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_447]),c_0_448]),c_0_449]) ).

cnf(c_0_543,negated_conjecture,
    ( epred8_0
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_370]),c_0_458]) ).

cnf(c_0_544,negated_conjecture,
    ( epred18_0
    | c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_229]),c_0_232]) ).

cnf(c_0_545,negated_conjecture,
    ( epred51_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_196]),c_0_195]),c_0_194]) ).

cnf(c_0_546,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    clause195 ).

cnf(c_0_547,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_459,c_0_357]) ).

cnf(c_0_548,negated_conjecture,
    ( epred48_0
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_269]),c_0_268]),c_0_267]) ).

cnf(c_0_549,negated_conjecture,
    ( epred54_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_461,c_0_225]) ).

cnf(c_0_550,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause159 ).

cnf(c_0_551,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_298,c_0_462]) ).

cnf(c_0_552,negated_conjecture,
    ( epred43_0
    | c2_1(a568)
    | hskp2
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_167]),c_0_168]) ).

cnf(c_0_553,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause170 ).

cnf(c_0_554,negated_conjecture,
    ( ~ epred43_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_346]),c_0_165]) ).

cnf(c_0_555,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred13_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_556,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]) ).

fof(c_0_557,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( hskp31
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_558,negated_conjecture,
    ( epred17_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp20
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_469]),c_0_161])]) ).

cnf(c_0_559,negated_conjecture,
    ( epred56_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_470]),c_0_161])]) ).

cnf(c_0_560,negated_conjecture,
    ( epred41_0
    | c1_1(a505)
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_282]),c_0_280]) ).

cnf(c_0_561,negated_conjecture,
    ( epred21_0
    | c1_1(a554)
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_239]),c_0_240]) ).

cnf(c_0_562,negated_conjecture,
    ( epred53_0
    | epred22_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_329]) ).

cnf(c_0_563,negated_conjecture,
    ( epred53_0
    | epred27_0
    | hskp4
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_564,negated_conjecture,
    ( epred27_0
    | epred2_0
    | hskp4
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_271]),c_0_475]) ).

cnf(c_0_565,negated_conjecture,
    ( epred14_0
    | epred8_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_476,c_0_225]) ).

cnf(c_0_566,negated_conjecture,
    ( epred39_0
    | epred9_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_477,c_0_255]) ).

cnf(c_0_567,negated_conjecture,
    ( epred14_0
    | epred9_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_308,c_0_478]) ).

cnf(c_0_568,negated_conjecture,
    ( epred50_0
    | epred21_0
    | hskp10
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_256,c_0_479]) ).

cnf(c_0_569,negated_conjecture,
    ( epred8_0
    | epred2_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_570,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_482,c_0_177]) ).

cnf(c_0_571,negated_conjecture,
    ( c2_1(a533)
    | ~ hskp18 ),
    clause63 ).

cnf(c_0_572,negated_conjecture,
    ( ~ c0_1(a533)
    | ~ hskp18 ),
    clause105 ).

cnf(c_0_573,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_254,c_0_483]) ).

cnf(c_0_574,negated_conjecture,
    ( epred52_0
    | epred14_0
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_298,c_0_484]) ).

cnf(c_0_575,negated_conjecture,
    ( epred52_0
    | epred8_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_576,negated_conjecture,
    ( epred35_0
    | hskp19
    | hskp27
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_577,negated_conjecture,
    ( epred35_0
    | ~ c0_1(a532)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_260]),c_0_258]) ).

cnf(c_0_578,negated_conjecture,
    ( c0_1(a532)
    | hskp8
    | hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_260]),c_0_259]) ).

cnf(c_0_579,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_580,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred12_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_581,negated_conjecture,
    ( epred31_0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_229]),c_0_232]) ).

cnf(c_0_582,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_494]),c_0_161])]) ).

cnf(c_0_583,negated_conjecture,
    ( epred15_0
    | hskp4
    | hskp5
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_495,c_0_244]) ).

cnf(c_0_584,negated_conjecture,
    ( epred51_0
    | epred47_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_585,negated_conjecture,
    ( epred32_0
    | epred22_0
    | hskp29
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_337,c_0_498]) ).

cnf(c_0_586,negated_conjecture,
    ( hskp8
    | hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_367]),c_0_368]),c_0_366]) ).

cnf(c_0_587,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_161])]) ).

cnf(c_0_588,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_161])]) ).

cnf(c_0_589,negated_conjecture,
    ( epred53_0
    | epred25_0
    | epred12_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_590,negated_conjecture,
    ( epred38_0
    | epred25_0
    | epred14_0
    | epred12_0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_591,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_403,c_0_486]) ).

cnf(c_0_592,negated_conjecture,
    ( epred28_0
    | hskp19
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_506,c_0_338]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ epred52_0
    | ~ epred50_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_507,c_0_209]),c_0_181]),c_0_165]) ).

cnf(c_0_594,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred12_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_595,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_512]) ).

cnf(c_0_596,negated_conjecture,
    ( epred24_0
    | hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_515]),c_0_516]) ).

cnf(c_0_597,negated_conjecture,
    ( epred1_0
    | hskp1
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_283,c_0_517]) ).

cnf(c_0_598,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_518]),c_0_448]) ).

cnf(c_0_599,negated_conjecture,
    ( epred49_0
    | hskp19
    | hskp27
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_330,c_0_228]) ).

cnf(c_0_600,negated_conjecture,
    ( epred50_0
    | epred10_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_519,c_0_520]) ).

cnf(c_0_601,negated_conjecture,
    ( epred43_0
    | epred8_0
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_521,c_0_370]) ).

cnf(c_0_602,negated_conjecture,
    ( epred46_0
    | hskp2
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_522,c_0_237]) ).

fof(c_0_603,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_604,negated_conjecture,
    ( epred52_0
    | ~ c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_246]),c_0_239]) ).

cnf(c_0_605,negated_conjecture,
    ( epred7_0
    | c1_1(a554)
    | hskp9
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_239]),c_0_240]) ).

cnf(c_0_606,negated_conjecture,
    ( epred34_0
    | hskp24
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_269]),c_0_267]) ).

cnf(c_0_607,negated_conjecture,
    ( epred55_0
    | c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_269]),c_0_268]) ).

cnf(c_0_608,negated_conjecture,
    ( epred52_0
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_246]),c_0_268]) ).

cnf(c_0_609,negated_conjecture,
    ( epred11_0
    | epred7_0
    | hskp6
    | hskp9
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_610,negated_conjecture,
    ( c1_1(a533)
    | ~ hskp18 ),
    clause62 ).

cnf(c_0_611,negated_conjecture,
    ( epred20_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_526]) ).

cnf(c_0_612,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp19
    | ~ ndr1_0 ),
    clause137 ).

cnf(c_0_613,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp11
    | ~ ndr1_0 ),
    clause136 ).

cnf(c_0_614,negated_conjecture,
    ( epred45_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_439]),c_0_440]),c_0_441]) ).

cnf(c_0_615,negated_conjecture,
    ( epred25_0
    | hskp13
    | hskp26
    | hskp30 ),
    inference(spm,[status(thm)],[c_0_528,c_0_529]) ).

cnf(c_0_616,negated_conjecture,
    ( epred28_0
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_530,c_0_531]) ).

cnf(c_0_617,negated_conjecture,
    ( hskp13
    | hskp26
    | hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_528,c_0_532]) ).

cnf(c_0_618,negated_conjecture,
    ( epred18_0
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_188]),c_0_189]) ).

cnf(c_0_619,negated_conjecture,
    ( c0_1(a527)
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_188]),c_0_190]) ).

cnf(c_0_620,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_279]),c_0_282]) ).

cnf(c_0_621,negated_conjecture,
    ( epred41_0
    | hskp5
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_435]),c_0_436]),c_0_437]) ).

cnf(c_0_622,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_393]),c_0_533]) ).

cnf(c_0_623,negated_conjecture,
    ( epred49_0
    | epred39_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_356,c_0_399]) ).

cnf(c_0_624,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause169 ).

cnf(c_0_625,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_534]) ).

cnf(c_0_626,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_535]) ).

cnf(c_0_627,negated_conjecture,
    ( epred36_0
    | c2_1(X1)
    | hskp20
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_536]),c_0_161])]) ).

cnf(c_0_628,negated_conjecture,
    ( epred26_0
    | epred16_0
    | hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_629,negated_conjecture,
    ( epred26_0
    | epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_383]),c_0_540]) ).

cnf(c_0_630,negated_conjecture,
    ( epred37_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_279]),c_0_282]) ).

cnf(c_0_631,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    clause191 ).

cnf(c_0_632,negated_conjecture,
    ( epred18_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_633,negated_conjecture,
    ( epred52_0
    | epred18_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_355,c_0_544]) ).

cnf(c_0_634,negated_conjecture,
    ( epred52_0
    | epred51_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_545,c_0_357]) ).

cnf(c_0_635,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause168 ).

cnf(c_0_636,negated_conjecture,
    ( ~ epred55_0
    | ~ epred51_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_546,c_0_324]),c_0_248]),c_0_425]) ).

cnf(c_0_637,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred27_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_547]),c_0_458]) ).

cnf(c_0_638,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_439]),c_0_440]),c_0_441]) ).

cnf(c_0_639,negated_conjecture,
    ( epred48_0
    | hskp0
    | ~ c1_1(a520)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_229]),c_0_227]) ).

cnf(c_0_640,negated_conjecture,
    ( epred54_0
    | epred48_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_461,c_0_548]) ).

cnf(c_0_641,negated_conjecture,
    ( epred54_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_549,c_0_271]) ).

cnf(c_0_642,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_161])]) ).

cnf(c_0_643,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_551,c_0_357]) ).

cnf(c_0_644,negated_conjecture,
    ( epred47_0
    | epred43_0
    | hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_182,c_0_552]) ).

cnf(c_0_645,negated_conjecture,
    ( epred43_0
    | hskp2
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_213]),c_0_212]),c_0_211]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_180]),c_0_163]) ).

cnf(c_0_647,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred13_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_555]) ).

cnf(c_0_648,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred14_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_556]) ).

cnf(c_0_649,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_234,c_0_370]) ).

cnf(c_0_650,negated_conjecture,
    ( epred14_0
    | c1_1(a505)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_279]),c_0_280]) ).

cnf(c_0_651,negated_conjecture,
    ( epred44_0
    | c2_1(X1)
    | hskp31
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_557]),c_0_161])]) ).

cnf(c_0_652,negated_conjecture,
    ( epred17_0
    | c1_1(a554)
    | hskp20
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_239]),c_0_240]) ).

cnf(c_0_653,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_233]),c_0_421]) ).

cnf(c_0_654,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_228]),c_0_514]) ).

cnf(c_0_655,negated_conjecture,
    ( epred56_0
    | c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_559]),c_0_515]) ).

cnf(c_0_656,negated_conjecture,
    ( epred51_0
    | ~ c1_1(a509)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_213]),c_0_211]) ).

cnf(c_0_657,negated_conjecture,
    ( epred56_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_559]),c_0_216]),c_0_217]) ).

cnf(c_0_658,negated_conjecture,
    ( epred10_0
    | c1_1(a554)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_221]),c_0_239]) ).

cnf(c_0_659,negated_conjecture,
    ( epred26_0
    | c1_1(a520)
    | hskp7
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_229]),c_0_232]) ).

cnf(c_0_660,negated_conjecture,
    ( epred41_0
    | epred22_0
    | hskp5
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_337,c_0_560]) ).

cnf(c_0_661,negated_conjecture,
    ( epred21_0
    | epred12_0
    | hskp10
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_293,c_0_561]) ).

cnf(c_0_662,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause190 ).

cnf(c_0_663,negated_conjecture,
    ( epred53_0
    | epred22_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_367]),c_0_368]) ).

cnf(c_0_664,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred2_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_563,c_0_564]) ).

cnf(c_0_665,negated_conjecture,
    ( epred14_0
    | epred8_0
    | epred3_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_565,c_0_271]) ).

cnf(c_0_666,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred9_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_308,c_0_566]) ).

cnf(c_0_667,negated_conjecture,
    ( epred50_0
    | epred21_0
    | epred14_0
    | epred9_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_567,c_0_568]) ).

cnf(c_0_668,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a568)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_167]),c_0_170]) ).

cnf(c_0_669,negated_conjecture,
    ( epred17_0
    | c2_1(a568)
    | hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_168]),c_0_170]) ).

cnf(c_0_670,negated_conjecture,
    ( epred50_0
    | epred25_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_256,c_0_434]) ).

cnf(c_0_671,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    clause66 ).

cnf(c_0_672,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    clause108 ).

cnf(c_0_673,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    clause65 ).

cnf(c_0_674,negated_conjecture,
    ( epred25_0
    | epred8_0
    | epred2_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_569,c_0_434]) ).

cnf(c_0_675,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_198]),c_0_199]) ).

cnf(c_0_676,negated_conjecture,
    ( c3_1(a533)
    | hskp13
    | hskp30
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_571]),c_0_572]) ).

cnf(c_0_677,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_188]),c_0_190]) ).

cnf(c_0_678,negated_conjecture,
    ( epred38_0
    | hskp17
    | ~ c0_1(a501)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_269]),c_0_267]) ).

cnf(c_0_679,negated_conjecture,
    ( c0_1(a501)
    | hskp13
    | hskp30
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_269]),c_0_267]) ).

cnf(c_0_680,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred7_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_308,c_0_573]) ).

cnf(c_0_681,negated_conjecture,
    ( epred52_0
    | epred38_0
    | epred14_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_574,c_0_408]) ).

cnf(c_0_682,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp27
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

cnf(c_0_683,negated_conjecture,
    ( epred35_0
    | hskp8
    | hskp29
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_684,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_685,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_283,c_0_274]) ).

cnf(c_0_686,negated_conjecture,
    ( epred31_0
    | hskp12
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_581,c_0_274]) ).

cnf(c_0_687,negated_conjecture,
    ( epred30_0
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_582]),c_0_453]),c_0_454]) ).

cnf(c_0_688,negated_conjecture,
    ( epred26_0
    | epred15_0
    | hskp4
    | hskp7
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_537,c_0_583]) ).

cnf(c_0_689,negated_conjecture,
    ( epred51_0
    | epred47_0
    | epred32_0
    | epred22_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_690,negated_conjecture,
    ( epred51_0
    | hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_545,c_0_586]) ).

cnf(c_0_691,negated_conjecture,
    ( epred49_0
    | c0_1(X1)
    | hskp16
    | hskp28
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_587,c_0_228]) ).

cnf(c_0_692,negated_conjecture,
    ( c2_1(a495)
    | hskp8
    | hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_514]),c_0_515]) ).

cnf(c_0_693,negated_conjecture,
    ( c0_1(a532)
    | hskp6
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_260]),c_0_259]) ).

cnf(c_0_694,negated_conjecture,
    ( epred53_0
    | epred38_0
    | epred25_0
    | epred14_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_589,c_0_590]) ).

cnf(c_0_695,negated_conjecture,
    ( epred28_0
    | epred12_0
    | epred8_0
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_591,c_0_592]) ).

cnf(c_0_696,negated_conjecture,
    ( epred28_0
    | epred22_0
    | ~ epred52_0
    | ~ epred50_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_594]) ).

cnf(c_0_697,negated_conjecture,
    ( epred34_0
    | epred22_0
    | epred15_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_595]) ).

cnf(c_0_698,negated_conjecture,
    ( epred35_0
    | epred22_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_369,c_0_235]) ).

cnf(c_0_699,negated_conjecture,
    ( epred24_0
    | epred1_0
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_596,c_0_597]) ).

cnf(c_0_700,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c2_1(X1)
    | hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_518]),c_0_598]) ).

cnf(c_0_701,negated_conjecture,
    ( epred56_0
    | c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_559]),c_0_326]) ).

cnf(c_0_702,negated_conjecture,
    ( epred49_0
    | epred12_0
    | hskp19
    | hskp27
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_599,c_0_177]) ).

cnf(c_0_703,negated_conjecture,
    ( hskp19
    | hskp27
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_287]),c_0_288]) ).

cnf(c_0_704,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred10_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_600,c_0_601]) ).

cnf(c_0_705,negated_conjecture,
    ( epred50_0
    | epred46_0
    | epred10_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_600,c_0_602]) ).

cnf(c_0_706,negated_conjecture,
    ( epred48_0
    | epred12_0
    | c3_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_460,c_0_177]) ).

cnf(c_0_707,negated_conjecture,
    ( hskp3
    | hskp13
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_287]),c_0_288]) ).

cnf(c_0_708,negated_conjecture,
    ( epred42_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_603]),c_0_161])]) ).

cnf(c_0_709,negated_conjecture,
    ( epred56_0
    | c0_1(a496)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_559]),c_0_420]) ).

cnf(c_0_710,negated_conjecture,
    ( epred52_0
    | epred7_0
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_604,c_0_605]) ).

cnf(c_0_711,negated_conjecture,
    ( epred55_0
    | epred34_0
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_606,c_0_607]) ).

cnf(c_0_712,negated_conjecture,
    ( epred55_0
    | epred52_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_608,c_0_607]) ).

cnf(c_0_713,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred7_0
    | hskp6
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_308,c_0_609]) ).

cnf(c_0_714,negated_conjecture,
    ( epred51_0
    | epred50_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_400,c_0_215]) ).

cnf(c_0_715,negated_conjecture,
    ( epred49_0
    | epred45_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_228]) ).

cnf(c_0_716,negated_conjecture,
    ( epred51_0
    | c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_287]),c_0_288]) ).

cnf(c_0_717,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a528)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_228]),c_0_198]) ).

cnf(c_0_718,negated_conjecture,
    ( epred34_0
    | c3_1(a499)
    | hskp24
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_447]),c_0_448]) ).

cnf(c_0_719,negated_conjecture,
    ( epred27_0
    | epred12_0
    | c3_1(X1)
    | hskp4
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_177]) ).

cnf(c_0_720,negated_conjecture,
    ( epred27_0
    | epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp4
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_221]) ).

cnf(c_0_721,negated_conjecture,
    ( epred27_0
    | c3_1(a499)
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_447]),c_0_448]) ).

cnf(c_0_722,negated_conjecture,
    ( epred24_0
    | c3_1(a533)
    | hskp8
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_610]),c_0_572]) ).

cnf(c_0_723,negated_conjecture,
    ( epred21_0
    | c2_1(a538)
    | hskp10
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_360]),c_0_361]) ).

cnf(c_0_724,negated_conjecture,
    ( epred17_0
    | c2_1(a538)
    | hskp20
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_360]),c_0_361]) ).

cnf(c_0_725,negated_conjecture,
    ( epred14_0
    | epred11_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_174,c_0_426]) ).

cnf(c_0_726,negated_conjecture,
    ( epred11_0
    | c0_1(a496)
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_426]),c_0_420]) ).

cnf(c_0_727,negated_conjecture,
    ( epred50_0
    | epred14_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_215]) ).

cnf(c_0_728,negated_conjecture,
    ( epred50_0
    | c2_1(a495)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_215]),c_0_515]) ).

cnf(c_0_729,negated_conjecture,
    ( epred50_0
    | c2_1(a502)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_215]),c_0_453]) ).

cnf(c_0_730,negated_conjecture,
    ( epred5_0
    | c2_1(a538)
    | hskp22
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_360]),c_0_362]) ).

cnf(c_0_731,negated_conjecture,
    ( epred5_0
    | c3_1(a510)
    | hskp22
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_222]),c_0_220]) ).

cnf(c_0_732,negated_conjecture,
    ( epred45_0
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_287]),c_0_288]) ).

cnf(c_0_733,negated_conjecture,
    ( epred28_0
    | c0_1(a527)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_188]),c_0_189]) ).

cnf(c_0_734,negated_conjecture,
    ( epred20_0
    | ~ c2_1(a540)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_287]),c_0_289]) ).

cnf(c_0_735,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp18
    | hskp19 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_161])]) ).

cnf(c_0_736,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_161])]) ).

cnf(c_0_737,negated_conjecture,
    ( epred45_0
    | epred25_0
    | hskp13
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_614,c_0_615]) ).

cnf(c_0_738,negated_conjecture,
    ( epred28_0
    | hskp13
    | hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_616,c_0_617]) ).

cnf(c_0_739,negated_conjecture,
    ( epred18_0
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_618,c_0_619]) ).

cnf(c_0_740,negated_conjecture,
    ( epred41_0
    | hskp5
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_560]),c_0_621]) ).

cnf(c_0_741,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_622]) ).

cnf(c_0_742,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_623]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred26_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_624,c_0_358]),c_0_163]) ).

cnf(c_0_744,negated_conjecture,
    ( epred52_0
    | epred39_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_625,c_0_626]) ).

cnf(c_0_745,negated_conjecture,
    ( epred36_0
    | hskp20
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_196]),c_0_195]),c_0_194]) ).

cnf(c_0_746,negated_conjecture,
    ( epred26_0
    | epred16_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_540,c_0_628]) ).

cnf(c_0_747,negated_conjecture,
    ( epred26_0
    | epred2_0
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_629,c_0_271]) ).

cnf(c_0_748,negated_conjecture,
    ( epred37_0
    | hskp19
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_506,c_0_630]) ).

cnf(c_0_749,negated_conjecture,
    ( hskp4
    | hskp5
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_327]),c_0_326]) ).

cnf(c_0_750,negated_conjecture,
    ( ~ epred51_0
    | ~ epred14_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_324]),c_0_248]),c_0_163]) ).

cnf(c_0_751,negated_conjecture,
    ( epred52_0
    | epred18_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_357]),c_0_633]) ).

cnf(c_0_752,negated_conjecture,
    ( epred52_0
    | epred51_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_633,c_0_634]) ).

cnf(c_0_753,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_635,c_0_263]),c_0_231]) ).

cnf(c_0_754,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred27_0
    | ~ epred55_0
    | ~ epred51_0 ),
    inference(spm,[status(thm)],[c_0_636,c_0_637]) ).

cnf(c_0_755,negated_conjecture,
    ( epred52_0
    | epred8_0
    | hskp27
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_575,c_0_638]) ).

cnf(c_0_756,negated_conjecture,
    ( epred48_0
    | epred3_0
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_639,c_0_318]) ).

cnf(c_0_757,negated_conjecture,
    ( epred54_0
    | epred48_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_758,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_331]),c_0_332]) ).

cnf(c_0_759,negated_conjecture,
    ( epred37_0
    | c1_1(a500)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_331]),c_0_332]) ).

cnf(c_0_760,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred27_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_643]),c_0_458]) ).

cnf(c_0_761,negated_conjecture,
    ( epred41_0
    | hskp5
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_621,c_0_531]) ).

cnf(c_0_762,negated_conjecture,
    ( epred47_0
    | epred43_0
    | hskp2
    | hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_219]),c_0_645]) ).

cnf(c_0_763,negated_conjecture,
    ( epred50_0
    | epred47_0
    | ~ epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_648]) ).

cnf(c_0_764,negated_conjecture,
    ( epred28_0
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_338]),c_0_530]) ).

cnf(c_0_765,negated_conjecture,
    ( epred51_0
    | epred12_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_545,c_0_286]) ).

cnf(c_0_766,negated_conjecture,
    ( epred12_0
    | epred8_0
    | hskp8
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_649,c_0_286]) ).

cnf(c_0_767,negated_conjecture,
    ( epred22_0
    | epred14_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_337,c_0_650]) ).

cnf(c_0_768,negated_conjecture,
    ( epred44_0
    | hskp31
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_327]),c_0_326]) ).

cnf(c_0_769,negated_conjecture,
    ( epred52_0
    | epred17_0
    | hskp20
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_604,c_0_652]) ).

cnf(c_0_770,negated_conjecture,
    ( epred50_0
    | epred6_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_653,c_0_520]) ).

cnf(c_0_771,negated_conjecture,
    ( epred56_0
    | epred49_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_654,c_0_655]) ).

cnf(c_0_772,negated_conjecture,
    ( epred49_0
    | epred1_0
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_273,c_0_517]) ).

cnf(c_0_773,negated_conjecture,
    ( epred51_0
    | epred25_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_656,c_0_336]) ).

cnf(c_0_774,negated_conjecture,
    ( epred56_0
    | epred25_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_657,c_0_434]) ).

cnf(c_0_775,negated_conjecture,
    ( epred52_0
    | epred10_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_604,c_0_658]) ).

cnf(c_0_776,negated_conjecture,
    ( epred52_0
    | epred26_0
    | hskp7
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_355,c_0_659]) ).

cnf(c_0_777,negated_conjecture,
    ( epred51_0
    | epred13_0
    | hskp28
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_656,c_0_306]) ).

cnf(c_0_778,negated_conjecture,
    ( epred41_0
    | epred26_0
    | epred22_0
    | hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_537,c_0_660]) ).

cnf(c_0_779,negated_conjecture,
    ( epred40_0
    | hskp15
    | ~ c0_1(a534)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_327]),c_0_326]) ).

cnf(c_0_780,negated_conjecture,
    ( epred34_0
    | epred21_0
    | epred12_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_661,c_0_291]) ).

cnf(c_0_781,negated_conjecture,
    ( epred53_0
    | epred34_0
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_606,c_0_473]) ).

cnf(c_0_782,negated_conjecture,
    ( epred30_0
    | c0_1(a527)
    | hskp2
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_582]),c_0_189]) ).

cnf(c_0_783,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_662,c_0_192]),c_0_181]),c_0_264]) ).

cnf(c_0_784,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred22_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_663,c_0_664]) ).

cnf(c_0_785,negated_conjecture,
    ( epred49_0
    | epred14_0
    | epred8_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_665]) ).

cnf(c_0_786,negated_conjecture,
    ( epred54_0
    | epred49_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_641]) ).

cnf(c_0_787,negated_conjecture,
    ( epred50_0
    | epred39_0
    | epred21_0
    | epred14_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_666,c_0_667]) ).

cnf(c_0_788,negated_conjecture,
    ( epred37_0
    | epred17_0
    | hskp20
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_668,c_0_669]) ).

cnf(c_0_789,negated_conjecture,
    ( epred11_0
    | c2_1(a495)
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_426]),c_0_515]) ).

cnf(c_0_790,negated_conjecture,
    ( epred50_0
    | epred25_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_670]) ).

cnf(c_0_791,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    clause42 ).

cnf(c_0_792,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    clause40 ).

cnf(c_0_793,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    clause41 ).

cnf(c_0_794,negated_conjecture,
    ( epred31_0
    | ~ c0_1(a512)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_441]),c_0_440]) ).

cnf(c_0_795,negated_conjecture,
    ( epred22_0
    | c0_1(a512)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_439]),c_0_440]) ).

cnf(c_0_796,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a530)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_671]),c_0_672]) ).

cnf(c_0_797,negated_conjecture,
    ( epred28_0
    | c0_1(a530)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_673]),c_0_672]) ).

cnf(c_0_798,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_674]) ).

cnf(c_0_799,negated_conjecture,
    ( epred31_0
    | epred12_0
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_675,c_0_237]) ).

cnf(c_0_800,negated_conjecture,
    ( epred55_0
    | epred8_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_303]) ).

cnf(c_0_801,negated_conjecture,
    ( epred54_0
    | epred50_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_372,c_0_215]) ).

cnf(c_0_802,negated_conjecture,
    ( epred14_0
    | epred2_0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_315]) ).

cnf(c_0_803,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    clause196 ).

cnf(c_0_804,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause194 ).

cnf(c_0_805,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    clause193 ).

cnf(c_0_806,negated_conjecture,
    ( c3_1(X2)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause189 ).

cnf(c_0_807,negated_conjecture,
    ( c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause188 ).

cnf(c_0_808,negated_conjecture,
    ( c2_1(X2)
    | hskp31
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause187 ).

cnf(c_0_809,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause181 ).

cnf(c_0_810,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp5
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause178 ).

cnf(c_0_811,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause180 ).

cnf(c_0_812,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause186 ).

cnf(c_0_813,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause183 ).

cnf(c_0_814,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause185 ).

cnf(c_0_815,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp29
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause182 ).

cnf(c_0_816,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause166 ).

cnf(c_0_817,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause171 ).

cnf(c_0_818,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp10
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause172 ).

cnf(c_0_819,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause174 ).

cnf(c_0_820,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp21
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause176 ).

cnf(c_0_821,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause162 ).

cnf(c_0_822,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause163 ).

cnf(c_0_823,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause161 ).

cnf(c_0_824,negated_conjecture,
    ( epred20_0
    | c0_1(a533)
    | hskp13
    | hskp30
    | ~ c2_1(a533)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_611,c_0_676]) ).

cnf(c_0_825,negated_conjecture,
    ( epred38_0
    | hskp17
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_677,c_0_619]) ).

cnf(c_0_826,negated_conjecture,
    ( epred1_0
    | c3_1(a527)
    | c1_1(a527)
    | hskp1
    | hskp13
    | hskp30
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_419,c_0_619]) ).

cnf(c_0_827,negated_conjecture,
    ( epred38_0
    | hskp17
    | hskp13
    | hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_678,c_0_679]) ).

cnf(c_0_828,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred7_0
    | epred52_0
    | epred38_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_829,negated_conjecture,
    ( epred52_0
    | epred35_0
    | epred8_0
    | hskp27
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_830,negated_conjecture,
    ( epred49_0
    | epred22_0
    | epred14_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_684]) ).

cnf(c_0_831,negated_conjecture,
    ( epred22_0
    | epred12_0
    | hskp8
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_685]) ).

cnf(c_0_832,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred49_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_323]) ).

cnf(c_0_833,negated_conjecture,
    ( epred22_0
    | epred12_0
    | epred31_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_686]) ).

cnf(c_0_834,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | hskp12
    | hskp20
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_424,c_0_274]) ).

cnf(c_0_835,negated_conjecture,
    ( epred30_0
    | hskp2
    | epred26_0
    | epred15_0
    | hskp4
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_687,c_0_688]) ).

cnf(c_0_836,negated_conjecture,
    ( epred51_0
    | epred47_0
    | epred32_0
    | epred22_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_689,c_0_690]) ).

cnf(c_0_837,negated_conjecture,
    ( epred49_0
    | c0_1(a495)
    | hskp16
    | hskp28
    | hskp8
    | hskp12
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_691,c_0_692]) ).

cnf(c_0_838,negated_conjecture,
    ( hskp10
    | hskp15
    | hskp6
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_387,c_0_693]) ).

cnf(c_0_839,negated_conjecture,
    ( epred53_0
    | epred38_0
    | epred25_0
    | epred14_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_694]) ).

cnf(c_0_840,negated_conjecture,
    ( epred25_0
    | epred28_0
    | epred12_0
    | epred8_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_352,c_0_695]) ).

cnf(c_0_841,negated_conjecture,
    ( epred28_0
    | epred22_0
    | epred34_0
    | ~ epred52_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_696,c_0_697]) ).

cnf(c_0_842,negated_conjecture,
    ( epred35_0
    | epred22_0
    | epred24_0
    | epred1_0
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_698,c_0_699]) ).

cnf(c_0_843,negated_conjecture,
    ( epred25_0
    | epred6_0
    | c2_1(a534)
    | hskp4
    | epred56_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_700,c_0_701]) ).

cnf(c_0_844,negated_conjecture,
    ( epred49_0
    | epred12_0
    | hskp19
    | hskp27
    | epred1_0
    | hskp1
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_702,c_0_517]) ).

cnf(c_0_845,negated_conjecture,
    ( hskp19
    | hskp27
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_703,c_0_303]) ).

cnf(c_0_846,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred10_0
    | epred8_0
    | epred46_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_704,c_0_705]) ).

cnf(c_0_847,negated_conjecture,
    ( epred48_0
    | epred12_0
    | c3_1(a520)
    | hskp0
    | epred3_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_706,c_0_318]) ).

cnf(c_0_848,negated_conjecture,
    ( hskp3
    | hskp13
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_707,c_0_303]) ).

cnf(c_0_849,negated_conjecture,
    ( epred42_0
    | c2_1(a496)
    | c1_1(a496)
    | hskp3
    | epred56_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_708,c_0_709]) ).

cnf(c_0_850,negated_conjecture,
    ( epred52_0
    | epred7_0
    | hskp9
    | epred55_0
    | epred34_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_710,c_0_711]) ).

cnf(c_0_851,negated_conjecture,
    ( epred55_0
    | epred52_0
    | epred14_0
    | epred11_0
    | epred7_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_712,c_0_713]) ).

cnf(c_0_852,negated_conjecture,
    ( epred51_0
    | epred50_0
    | c0_1(a498)
    | ~ hskp4
    | ~ c1_1(a498) ),
    inference(spm,[status(thm)],[c_0_366,c_0_714]) ).

cnf(c_0_853,negated_conjecture,
    ( epred49_0
    | epred45_0
    | epred51_0
    | ~ c1_1(a540)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_715,c_0_716]) ).

cnf(c_0_854,negated_conjecture,
    ( epred55_0
    | c0_1(a540)
    | epred51_0
    | ~ c1_1(a540)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_523,c_0_716]) ).

cnf(c_0_855,negated_conjecture,
    ( epred49_0
    | epred12_0
    | ~ hskp15
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(spm,[status(thm)],[c_0_717,c_0_177]) ).

cnf(c_0_856,negated_conjecture,
    ( epred37_0
    | c1_1(a499)
    | epred34_0
    | hskp24
    | ~ c2_1(a499)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_541,c_0_718]) ).

cnf(c_0_857,negated_conjecture,
    ( epred27_0
    | epred12_0
    | c3_1(a528)
    | hskp4
    | ~ c0_1(a528)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_719,c_0_198]) ).

cnf(c_0_858,negated_conjecture,
    ( epred27_0
    | epred10_0
    | c3_1(a520)
    | c1_1(a520)
    | hskp4
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_720,c_0_232]) ).

cnf(c_0_859,negated_conjecture,
    ( epred25_0
    | c1_1(a499)
    | epred27_0
    | hskp4
    | ~ c0_1(a499)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_277,c_0_721]) ).

cnf(c_0_860,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred26_0
    | hskp7
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_424,c_0_659]) ).

cnf(c_0_861,negated_conjecture,
    ( epred15_0
    | c3_1(a520)
    | hskp23
    | epred26_0
    | hskp7
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_205,c_0_659]) ).

cnf(c_0_862,negated_conjecture,
    ( epred20_0
    | c0_1(a533)
    | epred24_0
    | hskp8
    | ~ c2_1(a533)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_611,c_0_722]) ).

cnf(c_0_863,negated_conjecture,
    ( epred38_0
    | c3_1(a538)
    | hskp17
    | epred21_0
    | hskp10
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_335,c_0_723]) ).

cnf(c_0_864,negated_conjecture,
    ( epred38_0
    | c3_1(a538)
    | hskp17
    | epred17_0
    | hskp20
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_335,c_0_724]) ).

cnf(c_0_865,negated_conjecture,
    ( epred49_0
    | epred8_0
    | c0_1(a495)
    | ~ hskp1
    | ~ c1_1(a495) ),
    inference(spm,[status(thm)],[c_0_654,c_0_303]) ).

cnf(c_0_866,negated_conjecture,
    ( epred14_0
    | epred11_0
    | c1_1(a536)
    | c0_1(a536)
    | hskp6
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_395,c_0_725]) ).

cnf(c_0_867,negated_conjecture,
    ( epred5_0
    | c3_1(a496)
    | c2_1(a496)
    | hskp22
    | epred11_0
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_238,c_0_726]) ).

cnf(c_0_868,negated_conjecture,
    ( epred1_0
    | c3_1(a496)
    | c1_1(a496)
    | hskp1
    | epred11_0
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_419,c_0_726]) ).

cnf(c_0_869,negated_conjecture,
    ( epred50_0
    | epred14_0
    | c1_1(a536)
    | c0_1(a536)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_395,c_0_727]) ).

cnf(c_0_870,negated_conjecture,
    ( epred55_0
    | c0_1(a495)
    | epred50_0
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_523,c_0_728]) ).

cnf(c_0_871,negated_conjecture,
    ( epred16_0
    | c3_1(a495)
    | hskp21
    | epred50_0
    | ~ c1_1(a495)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_363,c_0_728]) ).

cnf(c_0_872,negated_conjecture,
    ( epred28_0
    | c1_1(a502)
    | c0_1(a502)
    | epred50_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_281,c_0_729]) ).

cnf(c_0_873,negated_conjecture,
    ( epred34_0
    | c3_1(a538)
    | hskp24
    | epred5_0
    | hskp22
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_242,c_0_730]) ).

cnf(c_0_874,negated_conjecture,
    ( epred27_0
    | c3_1(a538)
    | hskp4
    | epred5_0
    | hskp22
    | ~ c0_1(a538)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_314,c_0_730]) ).

cnf(c_0_875,negated_conjecture,
    ( epred35_0
    | c2_1(a510)
    | epred5_0
    | hskp22
    | ~ c0_1(a510)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_302,c_0_731]) ).

cnf(c_0_876,negated_conjecture,
    ( epred25_0
    | c1_1(a510)
    | epred5_0
    | hskp22
    | ~ c0_1(a510)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_277,c_0_731]) ).

cnf(c_0_877,negated_conjecture,
    ( epred17_0
    | c2_1(a496)
    | c1_1(a496)
    | hskp20
    | epred50_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_558,c_0_520]) ).

cnf(c_0_878,negated_conjecture,
    ( epred5_0
    | c3_1(a496)
    | c2_1(a496)
    | hskp22
    | epred50_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_238,c_0_520]) ).

cnf(c_0_879,negated_conjecture,
    ( epred45_0
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_732,c_0_303]) ).

cnf(c_0_880,negated_conjecture,
    ( epred1_0
    | c3_1(a527)
    | c1_1(a527)
    | hskp1
    | epred28_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_419,c_0_733]) ).

cnf(c_0_881,negated_conjecture,
    ( epred44_0
    | c2_1(a509)
    | hskp31
    | epred25_0
    | ~ c0_1(a509)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_651,c_0_336]) ).

cnf(c_0_882,negated_conjecture,
    ( epred20_0
    | epred8_0
    | c0_1(a540)
    | ~ hskp22
    | ~ c1_1(a540) ),
    inference(spm,[status(thm)],[c_0_734,c_0_303]) ).

cnf(c_0_883,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred18_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_424,c_0_544]) ).

cnf(c_0_884,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred6_0
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_424,c_0_284]) ).

cnf(c_0_885,negated_conjecture,
    ( epred46_0
    | c3_1(a520)
    | hskp2
    | epred1_0
    | hskp1
    | ~ c0_1(a520)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_424,c_0_517]) ).

cnf(c_0_886,negated_conjecture,
    ( c2_1(a496)
    | c1_1(a496)
    | hskp18
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_422,c_0_735]) ).

cnf(c_0_887,negated_conjecture,
    ( c2_1(a495)
    | c0_1(a495)
    | hskp10
    | hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_516,c_0_736]) ).

cnf(c_0_888,negated_conjecture,
    ( c2_1(a559)
    | c0_1(a559)
    | hskp10
    | hskp11
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_214,c_0_736]) ).

cnf(c_0_889,negated_conjecture,
    ( epred50_0
    | epred45_0
    | epred25_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_256,c_0_737]) ).

cnf(c_0_890,negated_conjecture,
    ( epred50_0
    | epred28_0
    | hskp13
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_256,c_0_738]) ).

cnf(c_0_891,negated_conjecture,
    ( epred18_0
    | hskp6
    | hskp13
    | hskp30 ),
    inference(spm,[status(thm)],[c_0_739,c_0_271]) ).

cnf(c_0_892,negated_conjecture,
    ( epred15_0
    | epred14_0
    | epred12_0
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_292,c_0_484]) ).

cnf(c_0_893,negated_conjecture,
    ( epred41_0
    | epred26_0
    | hskp7
    | hskp13
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_537,c_0_740]) ).

cnf(c_0_894,negated_conjecture,
    ( epred49_0
    | epred39_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_741,c_0_742]) ).

cnf(c_0_895,negated_conjecture,
    ( epred52_0
    | epred39_0
    | ~ epred26_0 ),
    inference(spm,[status(thm)],[c_0_743,c_0_744]) ).

cnf(c_0_896,negated_conjecture,
    ( epred52_0
    | epred51_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_545,c_0_445]) ).

cnf(c_0_897,negated_conjecture,
    ( epred52_0
    | epred36_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_745,c_0_445]) ).

cnf(c_0_898,negated_conjecture,
    ( epred26_0
    | epred16_0
    | epred2_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_746,c_0_747]) ).

cnf(c_0_899,negated_conjecture,
    ( epred52_0
    | epred37_0
    | epred8_0
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_575,c_0_748]) ).

cnf(c_0_900,negated_conjecture,
    ( epred8_0
    | hskp5
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_486]),c_0_458]) ).

cnf(c_0_901,negated_conjecture,
    ( epred52_0
    | epred18_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_751]),c_0_752]) ).

cnf(c_0_902,negated_conjecture,
    ( epred52_0
    | epred35_0
    | ~ epred55_0
    | ~ epred51_0
    | ~ epred28_0 ),
    inference(spm,[status(thm)],[c_0_753,c_0_754]) ).

cnf(c_0_903,negated_conjecture,
    ( epred52_0
    | epred25_0
    | epred8_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_352,c_0_755]) ).

cnf(c_0_904,negated_conjecture,
    ( epred54_0
    | epred48_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_756]),c_0_757]) ).

cnf(c_0_905,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_439]),c_0_440]),c_0_441]) ).

cnf(c_0_906,negated_conjecture,
    ( epred37_0
    | hskp17
    | hskp22
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_758,c_0_759]) ).

cnf(c_0_907,negated_conjecture,
    ( epred52_0
    | epred40_0
    | epred27_0
    | ~ epred51_0
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_750,c_0_760]) ).

cnf(c_0_908,negated_conjecture,
    ( epred41_0
    | epred18_0
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_542,c_0_761]) ).

cnf(c_0_909,negated_conjecture,
    ( epred50_0
    | epred47_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_762]),c_0_763]) ).

cnf(c_0_910,negated_conjecture,
    ( epred51_0
    | epred28_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_764,c_0_765]) ).

cnf(c_0_911,negated_conjecture,
    ( epred28_0
    | epred12_0
    | epred8_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_764,c_0_766]) ).

cnf(c_0_912,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_767,c_0_340]) ).

cnf(c_0_913,negated_conjecture,
    ( epred44_0
    | epred8_0
    | hskp31
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_768,c_0_486]) ).

cnf(c_0_914,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred17_0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_769,c_0_291]) ).

cnf(c_0_915,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred7_0
    | hskp9
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_710,c_0_291]) ).

cnf(c_0_916,negated_conjecture,
    ( epred43_0
    | epred22_0
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_521,c_0_235]) ).

cnf(c_0_917,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred6_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_770,c_0_645]) ).

cnf(c_0_918,negated_conjecture,
    ( epred52_0
    | epred14_0
    | epred8_0
    | epred3_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_476,c_0_443]) ).

cnf(c_0_919,negated_conjecture,
    ( epred56_0
    | epred49_0
    | epred1_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_771,c_0_772]) ).

cnf(c_0_920,negated_conjecture,
    ( epred56_0
    | epred51_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_773,c_0_774]) ).

cnf(c_0_921,negated_conjecture,
    ( epred52_0
    | epred34_0
    | epred10_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_775,c_0_291]) ).

cnf(c_0_922,negated_conjecture,
    ( epred52_0
    | epred26_0
    | epred2_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_540,c_0_776]) ).

cnf(c_0_923,negated_conjecture,
    ( epred52_0
    | epred6_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_355,c_0_284]) ).

cnf(c_0_924,negated_conjecture,
    ( epred51_0
    | epred45_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_732,c_0_716]) ).

cnf(c_0_925,negated_conjecture,
    ( epred51_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_545,c_0_343]) ).

cnf(c_0_926,negated_conjecture,
    ( epred51_0
    | epred13_0
    | hskp13
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_777,c_0_410]) ).

cnf(c_0_927,negated_conjecture,
    ( epred41_0
    | epred26_0
    | epred22_0
    | epred2_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_540,c_0_778]) ).

cnf(c_0_928,negated_conjecture,
    ( epred40_0
    | epred8_0
    | hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_779,c_0_486]) ).

cnf(c_0_929,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred21_0
    | epred12_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_409,c_0_780]) ).

cnf(c_0_930,negated_conjecture,
    ( epred53_0
    | epred34_0
    | epred5_0
    | hskp22
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_290,c_0_781]) ).

cnf(c_0_931,negated_conjecture,
    ( epred30_0
    | epred27_0
    | hskp2
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_382,c_0_782]) ).

cnf(c_0_932,negated_conjecture,
    ( epred53_0
    | epred27_0
    | epred22_0
    | ~ epred50_0
    | ~ epred49_0 ),
    inference(spm,[status(thm)],[c_0_783,c_0_784]) ).

cnf(c_0_933,negated_conjecture,
    ( epred49_0
    | epred14_0
    | epred8_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_393]),c_0_785]) ).

cnf(c_0_934,negated_conjecture,
    ( epred54_0
    | epred49_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_393]),c_0_786]) ).

cnf(c_0_935,negated_conjecture,
    ( epred50_0
    | epred39_0
    | epred21_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_787]),c_0_468]) ).

cnf(c_0_936,negated_conjecture,
    ( epred37_0
    | epred17_0
    | hskp10
    | hskp20
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_788,c_0_219]) ).

cnf(c_0_937,negated_conjecture,
    ( epred49_0
    | epred11_0
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_654,c_0_789]) ).

cnf(c_0_938,negated_conjecture,
    ( epred39_0
    | epred15_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_356,c_0_343]) ).

cnf(c_0_939,negated_conjecture,
    ( epred53_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_329]),c_0_514]),c_0_515]) ).

cnf(c_0_940,negated_conjecture,
    ( epred50_0
    | epred25_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_554,c_0_790]) ).

cnf(c_0_941,negated_conjecture,
    ( epred35_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_213]),c_0_212]),c_0_211]) ).

cnf(c_0_942,negated_conjecture,
    ( epred31_0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_791]),c_0_792]),c_0_793]) ).

cnf(c_0_943,negated_conjecture,
    ( epred31_0
    | epred22_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_794,c_0_795]) ).

cnf(c_0_944,negated_conjecture,
    ( epred28_0
    | epred25_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_796,c_0_797]) ).

cnf(c_0_945,negated_conjecture,
    ( epred25_0
    | epred12_0
    | epred8_0
    | ~ epred50_0
    | ~ epred49_0 ),
    inference(spm,[status(thm)],[c_0_783,c_0_798]) ).

cnf(c_0_946,negated_conjecture,
    ( epred31_0
    | epred22_0
    | epred12_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_285,c_0_799]) ).

cnf(c_0_947,negated_conjecture,
    ( epred20_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_279]),c_0_282]),c_0_280]) ).

cnf(c_0_948,negated_conjecture,
    ( epred6_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_233]),c_0_360]),c_0_361]) ).

cnf(c_0_949,negated_conjecture,
    ( epred1_0
    | hskp1
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_360]),c_0_361]),c_0_362]) ).

cnf(c_0_950,negated_conjecture,
    ( epred55_0
    | epred8_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_288]),c_0_289]) ).

cnf(c_0_951,negated_conjecture,
    ( epred54_0
    | epred50_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_801]),c_0_397]) ).

cnf(c_0_952,negated_conjecture,
    ( epred25_0
    | epred6_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_518]),c_0_222]) ).

cnf(c_0_953,negated_conjecture,
    ( epred14_0
    | epred2_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_802]),c_0_397]) ).

cnf(c_0_954,negated_conjecture,
    ( ~ epred52_0
    | ~ epred25_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_803,c_0_209]),c_0_230]),c_0_162]) ).

cnf(c_0_955,negated_conjecture,
    ( ~ epred56_0
    | ~ epred55_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_804,c_0_470]),c_0_425]),c_0_428]) ).

cnf(c_0_956,negated_conjecture,
    ( ~ epred54_0
    | ~ epred53_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_805,c_0_209]),c_0_275]),c_0_304]) ).

cnf(c_0_957,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_806,c_0_371]),c_0_159]) ).

cnf(c_0_958,negated_conjecture,
    ( ~ epred47_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_807,c_0_347]),c_0_159]) ).

cnf(c_0_959,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_808,c_0_557]),c_0_428]) ).

cnf(c_0_960,negated_conjecture,
    ( ~ epred42_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_809,c_0_603]),c_0_386]) ).

cnf(c_0_961,negated_conjecture,
    ( ~ epred41_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_810,c_0_381]),c_0_386]) ).

cnf(c_0_962,negated_conjecture,
    ( ~ epred40_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_811,c_0_249]),c_0_526]) ).

cnf(c_0_963,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_812,c_0_278]),c_0_179]) ).

cnf(c_0_964,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_813,c_0_536]),c_0_455]) ).

cnf(c_0_965,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_814,c_0_201]),c_0_247]) ).

cnf(c_0_966,negated_conjecture,
    ( ~ epred32_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_815,c_0_325]),c_0_230]) ).

cnf(c_0_967,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_816,c_0_494]),c_0_386]) ).

cnf(c_0_968,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_817,c_0_418]),c_0_230]) ).

cnf(c_0_969,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_818,c_0_265]),c_0_162]) ).

cnf(c_0_970,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_819,c_0_469]),c_0_364]) ).

cnf(c_0_971,negated_conjecture,
    ( ~ epred16_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_820,c_0_300]),c_0_184]) ).

cnf(c_0_972,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_821,c_0_348]),c_0_165]) ).

cnf(c_0_973,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_822,c_0_295]),c_0_248]) ).

cnf(c_0_974,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_823,c_0_345]),c_0_264]) ).

cnf(c_0_975,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp2 ),
    clause39 ).

cnf(c_0_976,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_824,c_0_825,c_0_826,c_0_827,c_0_828,c_0_829,c_0_830,c_0_831,c_0_832,c_0_833,c_0_834,c_0_835,c_0_836,c_0_837,c_0_838,c_0_839,c_0_840,c_0_841,c_0_842,c_0_843,c_0_844,c_0_845,c_0_846,c_0_847,c_0_848,c_0_849,c_0_850,c_0_851,c_0_852,c_0_853,c_0_854,c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_860,c_0_861,c_0_862,c_0_863,c_0_864,c_0_865,c_0_866,c_0_867,c_0_868,c_0_869,c_0_870,c_0_871,c_0_872,c_0_873,c_0_874,c_0_875,c_0_876,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_884,c_0_885,c_0_886,c_0_887,c_0_888,c_0_889,c_0_890,c_0_615,c_0_891,c_0_681,c_0_892,c_0_893,c_0_493,c_0_894,c_0_895,c_0_744,c_0_896,c_0_897,c_0_535,c_0_445,c_0_898,c_0_450,c_0_899,c_0_696,c_0_574,c_0_900,c_0_901,c_0_543,c_0_902,c_0_903,c_0_589,c_0_503,c_0_904,c_0_905,c_0_906,c_0_907,c_0_908,c_0_909,c_0_910,c_0_911,c_0_912,c_0_340,c_0_602,c_0_913,c_0_914,c_0_915,c_0_916,c_0_917,c_0_645,c_0_918,c_0_919,c_0_771,c_0_920,c_0_921,c_0_769,c_0_547,c_0_575,c_0_551,c_0_634,c_0_444,c_0_357,c_0_298,c_0_922,c_0_923,c_0_633,c_0_355,c_0_924,c_0_925,c_0_545,c_0_926,c_0_773,c_0_927,c_0_928,c_0_504,c_0_408,c_0_745,c_0_929,c_0_930,c_0_342,c_0_931,c_0_932,c_0_475,c_0_933,c_0_934,c_0_659,c_0_537,c_0_935,c_0_385,c_0_936,c_0_788,c_0_451,c_0_319,c_0_937,c_0_654,c_0_938,c_0_478,c_0_525,c_0_427,c_0_680,c_0_461,c_0_939,c_0_940,c_0_670,c_0_256,c_0_290,c_0_770,c_0_464,c_0_941,c_0_942,c_0_943,c_0_944,c_0_412,c_0_530,c_0_945,c_0_798,c_0_434,c_0_352,c_0_409,c_0_341,c_0_946,c_0_285,c_0_767,c_0_947,c_0_379,c_0_308,c_0_243,c_0_591,c_0_649,c_0_261,c_0_458,c_0_948,c_0_949,c_0_517,c_0_492,c_0_540,c_0_950,c_0_951,c_0_663,c_0_952,c_0_953,c_0_954,c_0_955,c_0_636,c_0_593,c_0_956,c_0_750,c_0_783,c_0_957,c_0_958,c_0_959,c_0_554,c_0_960,c_0_961,c_0_962,c_0_963,c_0_964,c_0_965,c_0_966,c_0_967,c_0_753,c_0_743,c_0_968,c_0_969,c_0_970,c_0_971,c_0_508,c_0_646,c_0_972,c_0_466,c_0_973,c_0_510,c_0_490,c_0_974,c_0_516,c_0_515,c_0_422,c_0_420,c_0_421,c_0_368,c_0_449,c_0_454,c_0_453,c_0_211,c_0_220,c_0_223,c_0_227,c_0_190,c_0_189,c_0_206,c_0_572,c_0_326,c_0_398,c_0_397,c_0_362,c_0_289,c_0_217,c_0_216,c_0_447,c_0_571,c_0_514,c_0_367,c_0_198,c_0_288,c_0_448,c_0_212,c_0_222,c_0_232,c_0_199,c_0_360,c_0_975,c_0_271,c_0_237,c_0_219,c_0_410,c_0_156]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.16  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 17:14:30 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.22/0.55  start to proof: theBenchmark
% 4.71/4.95  % Version  : CSE_E---1.5
% 4.71/4.95  % Problem  : theBenchmark.p
% 4.71/4.95  % Proof found
% 4.71/4.95  % SZS status Theorem for theBenchmark.p
% 4.71/4.95  % SZS output start Proof
% See solution above
% 4.71/5.00  % Total time : 4.384000 s
% 4.71/5.00  % SZS output end Proof
% 4.71/5.00  % Total time : 4.387000 s
%------------------------------------------------------------------------------