TSTP Solution File: SYN505-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN505-1 : 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 : n029.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 01:52:35 EDT 2023

% Result   : Unsatisfiable 1.66s 1.74s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  289
% Syntax   : Number of formulae    :  637 (   2 unt; 129 typ;   0 def)
%            Number of atoms       : 1934 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2363 ( 937   ~;1384   |;   0   &)
%                                         (  42 <=>;   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  :   98 (  97 usr;  94 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  223 (   0 sgn;  42   !;   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,
    a529: $i ).

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

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

tff(decl_58,type,
    c3_1: $i > $o ).

tff(decl_59,type,
    a488: $i ).

tff(decl_60,type,
    c2_1: $i > $o ).

tff(decl_61,type,
    a474: $i ).

tff(decl_62,type,
    a469: $i ).

tff(decl_63,type,
    a559: $i ).

tff(decl_64,type,
    a545: $i ).

tff(decl_65,type,
    a525: $i ).

tff(decl_66,type,
    a519: $i ).

tff(decl_67,type,
    a507: $i ).

tff(decl_68,type,
    a506: $i ).

tff(decl_69,type,
    a500: $i ).

tff(decl_70,type,
    a494: $i ).

tff(decl_71,type,
    a493: $i ).

tff(decl_72,type,
    a487: $i ).

tff(decl_73,type,
    a484: $i ).

tff(decl_74,type,
    a483: $i ).

tff(decl_75,type,
    a482: $i ).

tff(decl_76,type,
    a481: $i ).

tff(decl_77,type,
    a479: $i ).

tff(decl_78,type,
    a478: $i ).

tff(decl_79,type,
    a477: $i ).

tff(decl_80,type,
    a472: $i ).

tff(decl_81,type,
    a471: $i ).

tff(decl_82,type,
    a467: $i ).

tff(decl_83,type,
    a465: $i ).

tff(decl_84,type,
    a464: $i ).

tff(decl_85,type,
    a463: $i ).

tff(decl_86,type,
    a462: $i ).

tff(decl_87,type,
    a576: $i ).

tff(decl_88,type,
    a521: $i ).

tff(decl_89,type,
    a470: $i ).

tff(decl_90,type,
    a466: $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 ).

tff(decl_147,type,
    epred57_0: $o ).

tff(decl_148,type,
    epred58_0: $o ).

tff(decl_149,type,
    epred59_0: $o ).

tff(decl_150,type,
    epred60_0: $o ).

cnf(clause13,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

cnf(clause35,negated_conjecture,
    ( hskp31
    | hskp19
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(clause1,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause22,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a519)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause101,negated_conjecture,
    ( ~ c0_1(a519)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a519)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause116,negated_conjecture,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(clause75,negated_conjecture,
    ( c3_1(a482)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause115,negated_conjecture,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(clause43,negated_conjecture,
    ( hskp22
    | hskp1
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause72,negated_conjecture,
    ( c2_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(clause71,negated_conjecture,
    ( c0_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause89,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause137,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause138,negated_conjecture,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

cnf(clause80,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause122,negated_conjecture,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause52,negated_conjecture,
    ( c2_1(a474)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause50,negated_conjecture,
    ( c0_1(a474)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause51,negated_conjecture,
    ( c1_1(a474)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause58,negated_conjecture,
    ( c1_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause96,negated_conjecture,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause73,negated_conjecture,
    ( c1_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause114,negated_conjecture,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause183,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(clause33,negated_conjecture,
    ( hskp29
    | hskp15
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(clause57,negated_conjecture,
    ( c1_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(clause91,negated_conjecture,
    ( c2_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause90,negated_conjecture,
    ( c0_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause139,negated_conjecture,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

cnf(clause39,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(clause88,negated_conjecture,
    ( c3_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause136,negated_conjecture,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(clause127,negated_conjecture,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause126,negated_conjecture,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause184,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

cnf(clause195,negated_conjecture,
    ( c1_1(X2)
    | hskp18
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a469)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(clause53,negated_conjecture,
    ( c0_1(a469)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause74,negated_conjecture,
    ( c2_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause113,negated_conjecture,
    ( ~ c3_1(a484)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause106,negated_conjecture,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(clause66,negated_conjecture,
    ( c1_1(a500)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(clause99,negated_conjecture,
    ( ~ c2_1(a521)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause98,negated_conjecture,
    ( ~ c0_1(a521)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(clause100,negated_conjecture,
    ( ~ c3_1(a521)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause37,negated_conjecture,
    ( hskp26
    | hskp2
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause202,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

cnf(clause45,negated_conjecture,
    ( c1_1(a529)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause44,negated_conjecture,
    ( c0_1(a529)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause46,negated_conjecture,
    ( c3_1(a529)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(clause108,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause109,negated_conjecture,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a494)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause161,negated_conjecture,
    ( c3_1(X1)
    | hskp30
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause85,negated_conjecture,
    ( c3_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(clause84,negated_conjecture,
    ( c0_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause97,negated_conjecture,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(clause60,negated_conjecture,
    ( c0_1(a525)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause112,negated_conjecture,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause70,negated_conjecture,
    ( c0_1(a487)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause68,negated_conjecture,
    ( c2_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause69,negated_conjecture,
    ( c3_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause147,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp18
    | hskp19
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(clause148,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp17
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(clause146,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp16
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(clause155,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause162,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause167,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause164,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause87,negated_conjecture,
    ( c3_1(a465)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause133,negated_conjecture,
    ( ~ c0_1(a465)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause134,negated_conjecture,
    ( ~ c1_1(a465)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause79,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause120,negated_conjecture,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause121,negated_conjecture,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause125,negated_conjecture,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause135,negated_conjecture,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(clause191,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(clause48,negated_conjecture,
    ( c2_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(clause47,negated_conjecture,
    ( c1_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(clause76,negated_conjecture,
    ( c1_1(a481)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause124,negated_conjecture,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause49,negated_conjecture,
    ( c3_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause78,negated_conjecture,
    ( c3_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause81,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause117,negated_conjecture,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause118,negated_conjecture,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(clause111,negated_conjecture,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause110,negated_conjecture,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause207,negated_conjecture,
    ( c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

cnf(clause206,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

cnf(clause204,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

cnf(clause203,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

cnf(clause199,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

cnf(clause194,negated_conjecture,
    ( c0_1(X2)
    | hskp16
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

cnf(clause192,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

cnf(clause189,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

cnf(clause188,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(clause193,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp29
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

cnf(clause182,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(clause185,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause181,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(clause180,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause177,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp29
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(clause173,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(clause172,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp16
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

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

cnf(clause179,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(clause119,negated_conjecture,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause61,negated_conjecture,
    ( c1_1(a525)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(clause77,negated_conjecture,
    ( c0_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause40,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause34,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(clause38,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_0_118,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    clause13 ).

cnf(c_0_119,negated_conjecture,
    ( hskp31
    | hskp19
    | hskp10 ),
    clause35 ).

cnf(c_0_120,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    clause1 ).

cnf(c_0_121,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    clause22 ).

fof(c_0_122,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_123,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( hskp13
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_124,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ c2_1(a519)
    | ~ hskp22 ),
    clause102 ).

cnf(c_0_126,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_122]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ c0_1(a519)
    | ~ hskp22 ),
    clause101 ).

cnf(c_0_128,negated_conjecture,
    ( epred26_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp13
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_124])]) ).

cnf(c_0_129,negated_conjecture,
    ( c1_1(a519)
    | ~ hskp22 ),
    clause62 ).

fof(c_0_130,plain,
    ( ~ epred58_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_131,negated_conjecture,
    ( epred12_0
    | ~ c3_1(a519)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).

cnf(c_0_132,negated_conjecture,
    ( epred26_0
    | c3_1(a519)
    | hskp13
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_127]) ).

fof(c_0_133,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_134,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_135,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_137,plain,
    ( ~ epred54_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_138,negated_conjecture,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    clause116 ).

cnf(c_0_139,negated_conjecture,
    ( epred58_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_130]) ).

cnf(c_0_140,negated_conjecture,
    ( c3_1(a482)
    | ~ hskp13 ),
    clause75 ).

cnf(c_0_141,negated_conjecture,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    clause115 ).

cnf(c_0_142,negated_conjecture,
    ( epred26_0
    | epred12_0
    | hskp13
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_143,negated_conjecture,
    ( hskp22
    | hskp1
    | hskp13 ),
    clause43 ).

fof(c_0_144,plain,
    ( ~ epred52_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_145,negated_conjecture,
    ( epred4_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_133]) ).

cnf(c_0_146,negated_conjecture,
    ( c2_1(a484)
    | ~ hskp15 ),
    clause72 ).

cnf(c_0_147,negated_conjecture,
    ( c0_1(a484)
    | ~ hskp15 ),
    clause71 ).

cnf(c_0_148,negated_conjecture,
    ( epred27_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_134]) ).

fof(c_0_149,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_150,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_135]) ).

cnf(c_0_151,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_136]) ).

cnf(c_0_152,negated_conjecture,
    ( epred54_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_137]) ).

cnf(c_0_153,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    clause89 ).

cnf(c_0_154,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    clause137 ).

cnf(c_0_155,negated_conjecture,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    clause138 ).

cnf(c_0_156,negated_conjecture,
    ( epred58_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).

cnf(c_0_157,negated_conjecture,
    ( epred26_0
    | epred12_0
    | hskp1
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_158,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp9 ),
    clause80 ).

cnf(c_0_159,negated_conjecture,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    clause122 ).

cnf(c_0_160,negated_conjecture,
    ( epred52_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_144]) ).

cnf(c_0_161,negated_conjecture,
    ( epred4_0
    | ~ c1_1(a484)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).

cnf(c_0_162,negated_conjecture,
    ( epred27_0
    | c1_1(a484)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_146]),c_0_147]) ).

cnf(c_0_163,negated_conjecture,
    ( c2_1(a474)
    | ~ hskp29 ),
    clause52 ).

cnf(c_0_164,negated_conjecture,
    ( c0_1(a474)
    | ~ hskp29 ),
    clause50 ).

cnf(c_0_165,negated_conjecture,
    ( c1_1(a474)
    | ~ hskp29 ),
    clause51 ).

cnf(c_0_166,negated_conjecture,
    ( epred53_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_124])]) ).

cnf(c_0_167,negated_conjecture,
    ( epred48_0
    | epred25_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_168,negated_conjecture,
    ( c1_1(a545)
    | ~ hskp25 ),
    clause58 ).

cnf(c_0_169,negated_conjecture,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    clause96 ).

cnf(c_0_170,negated_conjecture,
    ( c1_1(a483)
    | ~ hskp14 ),
    clause73 ).

cnf(c_0_171,negated_conjecture,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    clause114 ).

fof(c_0_172,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp10
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_173,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( hskp2
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_174,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause183 ).

cnf(c_0_175,negated_conjecture,
    ( epred54_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]) ).

cnf(c_0_176,negated_conjecture,
    ( epred58_0
    | epred26_0
    | epred12_0
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_177,negated_conjecture,
    ( epred27_0
    | ~ c0_1(a477)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_158]),c_0_159]) ).

cnf(c_0_178,negated_conjecture,
    ( epred52_0
    | c0_1(a477)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_158]),c_0_159]) ).

cnf(c_0_179,negated_conjecture,
    ( epred27_0
    | epred4_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_180,negated_conjecture,
    ( hskp29
    | hskp15
    | hskp9 ),
    clause33 ).

cnf(c_0_181,negated_conjecture,
    ( epred4_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_163]),c_0_164]),c_0_165]) ).

fof(c_0_182,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_183,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_184,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_185,plain,
    ( ~ epred47_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_186,negated_conjecture,
    ( epred53_0
    | epred4_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_166]) ).

cnf(c_0_187,negated_conjecture,
    ( c1_1(a559)
    | ~ hskp26 ),
    clause57 ).

cnf(c_0_188,negated_conjecture,
    ( c0_1(a559)
    | ~ hskp26 ),
    clause56 ).

cnf(c_0_189,negated_conjecture,
    ( c2_1(a462)
    | ~ hskp0 ),
    clause91 ).

cnf(c_0_190,negated_conjecture,
    ( c0_1(a462)
    | ~ hskp0 ),
    clause90 ).

cnf(c_0_191,negated_conjecture,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    clause139 ).

cnf(c_0_192,negated_conjecture,
    ( epred48_0
    | epred25_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).

cnf(c_0_193,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp25 ),
    clause39 ).

cnf(c_0_194,negated_conjecture,
    ( epred48_0
    | epred25_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_170]),c_0_171]) ).

fof(c_0_195,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( hskp29
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_196,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_197,negated_conjecture,
    ( epred28_0
    | c2_1(X1)
    | hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_124])]) ).

cnf(c_0_198,negated_conjecture,
    ( c3_1(a464)
    | ~ hskp2 ),
    clause88 ).

cnf(c_0_199,negated_conjecture,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    clause136 ).

cnf(c_0_200,negated_conjecture,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    clause127 ).

cnf(c_0_201,negated_conjecture,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    clause126 ).

cnf(c_0_202,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_124])]) ).

cnf(c_0_203,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause184 ).

cnf(c_0_204,negated_conjecture,
    ( ~ epred28_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_174,c_0_172]),c_0_122]) ).

cnf(c_0_205,negated_conjecture,
    ( epred58_0
    | epred54_0
    | epred26_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

fof(c_0_206,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( hskp18
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_207,negated_conjecture,
    ( c1_1(X2)
    | hskp18
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause195 ).

cnf(c_0_208,negated_conjecture,
    ( epred52_0
    | epred27_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_209,negated_conjecture,
    ( epred27_0
    | epred4_0
    | hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).

fof(c_0_210,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp29
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_211,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_212,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp16
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_214,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_215,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_216,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_217,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_218,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_219,negated_conjecture,
    ( c2_1(a469)
    | ~ hskp28 ),
    clause54 ).

cnf(c_0_220,negated_conjecture,
    ( c0_1(a469)
    | ~ hskp28 ),
    clause53 ).

fof(c_0_221,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( hskp28
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_222,negated_conjecture,
    ( epred35_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_182]) ).

cnf(c_0_223,negated_conjecture,
    ( c2_1(a483)
    | ~ hskp14 ),
    clause74 ).

cnf(c_0_224,negated_conjecture,
    ( epred33_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_183]) ).

fof(c_0_225,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp14
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_226,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( hskp0
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_227,negated_conjecture,
    ( ~ c3_1(a484)
    | ~ hskp15 ),
    clause113 ).

fof(c_0_228,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    clause106 ).

cnf(c_0_230,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_124])]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    clause107 ).

cnf(c_0_232,negated_conjecture,
    ( c1_1(a500)
    | ~ hskp19 ),
    clause66 ).

cnf(c_0_233,negated_conjecture,
    ( ~ c2_1(a521)
    | ~ hskp23 ),
    clause99 ).

cnf(c_0_234,negated_conjecture,
    ( epred47_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ c0_1(a521)
    | ~ hskp23 ),
    clause98 ).

cnf(c_0_236,negated_conjecture,
    ( ~ c3_1(a521)
    | ~ hskp23 ),
    clause100 ).

cnf(c_0_237,negated_conjecture,
    ( epred53_0
    | epred4_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).

cnf(c_0_238,negated_conjecture,
    ( hskp26
    | hskp2
    | hskp23 ),
    clause37 ).

fof(c_0_239,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c3_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_240,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause202 ).

cnf(c_0_241,negated_conjecture,
    ( epred27_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_242,negated_conjecture,
    ( epred48_0
    | epred25_0
    | hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).

fof(c_0_243,plain,
    ( ~ epred59_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ ndr1_0
        | ~ c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_244,negated_conjecture,
    ( epred32_0
    | c2_1(X1)
    | hskp29
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_124])]) ).

cnf(c_0_245,negated_conjecture,
    ( c1_1(a529)
    | ~ hskp31 ),
    clause45 ).

cnf(c_0_246,negated_conjecture,
    ( c0_1(a529)
    | ~ hskp31 ),
    clause44 ).

cnf(c_0_247,negated_conjecture,
    ( epred29_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_196]),c_0_124])]) ).

cnf(c_0_248,negated_conjecture,
    ( c3_1(a529)
    | ~ hskp31 ),
    clause46 ).

cnf(c_0_249,negated_conjecture,
    ( epred28_0
    | hskp10
    | ~ c1_1(a464)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_250,negated_conjecture,
    ( epred58_0
    | c1_1(a464)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_139]),c_0_198]) ).

cnf(c_0_251,negated_conjecture,
    ( epred58_0
    | ~ c3_1(a470)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_139]),c_0_201]) ).

cnf(c_0_252,negated_conjecture,
    ( epred18_0
    | c3_1(a470)
    | hskp2
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_202]),c_0_201]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_123]),c_0_134]) ).

cnf(c_0_254,negated_conjecture,
    ( epred58_0
    | epred54_0
    | epred26_0
    | ~ epred28_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ epred42_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_207,c_0_206]),c_0_133]) ).

cnf(c_0_256,negated_conjecture,
    ( epred52_0
    | epred27_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

fof(c_0_257,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( hskp6
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_258,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp14
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_259,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    clause108 ).

cnf(c_0_260,negated_conjecture,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    clause109 ).

cnf(c_0_261,negated_conjecture,
    ( epred11_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp29
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_124])]) ).

cnf(c_0_262,negated_conjecture,
    ( c0_1(a494)
    | ~ hskp18 ),
    clause67 ).

cnf(c_0_263,negated_conjecture,
    ( c3_1(X1)
    | hskp30
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause161 ).

cnf(c_0_264,negated_conjecture,
    ( epred51_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_211]) ).

cnf(c_0_265,negated_conjecture,
    ( c3_1(a471)
    | ~ hskp7 ),
    clause85 ).

cnf(c_0_266,negated_conjecture,
    ( c0_1(a471)
    | ~ hskp7 ),
    clause84 ).

cnf(c_0_267,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_124])]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    clause97 ).

cnf(c_0_269,negated_conjecture,
    ( c0_1(a525)
    | ~ hskp24 ),
    clause60 ).

cnf(c_0_270,negated_conjecture,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    clause112 ).

cnf(c_0_271,negated_conjecture,
    ( c0_1(a487)
    | ~ hskp16 ),
    clause70 ).

cnf(c_0_272,negated_conjecture,
    ( epred19_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_213]) ).

cnf(c_0_273,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_214]) ).

cnf(c_0_274,negated_conjecture,
    ( epred46_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_124])]) ).

cnf(c_0_275,negated_conjecture,
    ( c2_1(a493)
    | ~ hskp17 ),
    clause68 ).

cnf(c_0_276,negated_conjecture,
    ( c3_1(a493)
    | ~ hskp17 ),
    clause69 ).

cnf(c_0_277,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_216]) ).

cnf(c_0_278,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_217]) ).

cnf(c_0_279,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_218]),c_0_124])]) ).

cnf(c_0_280,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp18
    | hskp19
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

cnf(c_0_281,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp17
    | hskp9
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

cnf(c_0_282,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp16
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause146 ).

cnf(c_0_283,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause155 ).

cnf(c_0_284,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause162 ).

cnf(c_0_285,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause167 ).

cnf(c_0_286,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause164 ).

fof(c_0_287,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_288,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( hskp16
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_289,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( hskp11
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_290,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( hskp12
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_291,negated_conjecture,
    ( epred4_0
    | ~ c1_1(a469)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_219]),c_0_220]) ).

cnf(c_0_292,negated_conjecture,
    ( epred27_0
    | c1_1(a469)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_219]),c_0_220]) ).

cnf(c_0_293,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp28
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_124])]) ).

cnf(c_0_294,negated_conjecture,
    ( c3_1(a465)
    | ~ hskp3 ),
    clause87 ).

cnf(c_0_295,negated_conjecture,
    ( ~ c0_1(a465)
    | ~ hskp3 ),
    clause133 ).

cnf(c_0_296,negated_conjecture,
    ( ~ c1_1(a465)
    | ~ hskp3 ),
    clause134 ).

cnf(c_0_297,negated_conjecture,
    ( epred35_0
    | ~ c3_1(a483)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_170]) ).

cnf(c_0_298,negated_conjecture,
    ( epred33_0
    | c3_1(a483)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_223]),c_0_170]) ).

cnf(c_0_299,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp14
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_225]),c_0_124])]) ).

cnf(c_0_300,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp10 ),
    clause79 ).

cnf(c_0_301,negated_conjecture,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    clause120 ).

cnf(c_0_302,negated_conjecture,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    clause121 ).

cnf(c_0_303,negated_conjecture,
    ( epred22_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_226]),c_0_124])]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    clause125 ).

cnf(c_0_305,negated_conjecture,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    clause135 ).

cnf(c_0_306,negated_conjecture,
    ( epred54_0
    | c1_1(a484)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_146]),c_0_227]) ).

cnf(c_0_307,negated_conjecture,
    ( epred39_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_228]) ).

cnf(c_0_308,negated_conjecture,
    ( epred3_0
    | ~ c0_1(a500)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).

cnf(c_0_309,negated_conjecture,
    ( epred48_0
    | c0_1(a500)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_151]),c_0_232]) ).

cnf(c_0_310,negated_conjecture,
    ( epred47_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_311,negated_conjecture,
    ( epred53_0
    | epred4_0
    | hskp2
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

fof(c_0_312,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_313,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    clause191 ).

cnf(c_0_314,negated_conjecture,
    ( ~ epred51_0
    | ~ epred50_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_240,c_0_239]),c_0_211]),c_0_135]) ).

cnf(c_0_315,negated_conjecture,
    ( epred48_0
    | epred27_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

fof(c_0_316,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( c2_1(a488)
    | ~ hskp30 ),
    clause48 ).

cnf(c_0_318,negated_conjecture,
    ( c1_1(a488)
    | ~ hskp30 ),
    clause47 ).

cnf(c_0_319,negated_conjecture,
    ( epred59_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_124])]) ).

cnf(c_0_320,negated_conjecture,
    ( epred32_0
    | c2_1(a529)
    | hskp29
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).

cnf(c_0_321,negated_conjecture,
    ( epred33_0
    | epred29_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp6
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_247]) ).

cnf(c_0_322,negated_conjecture,
    ( c1_1(a481)
    | ~ hskp12 ),
    clause76 ).

cnf(c_0_323,negated_conjecture,
    ( epred28_0
    | c2_1(a529)
    | hskp10
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_248]),c_0_245]) ).

cnf(c_0_324,negated_conjecture,
    ( epred58_0
    | epred28_0
    | hskp10
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_325,negated_conjecture,
    ( epred58_0
    | epred18_0
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_326,negated_conjecture,
    ( epred58_0
    | epred54_0
    | ~ epred28_0
    | ~ epred27_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_327,negated_conjecture,
    ( epred52_0
    | epred27_0
    | ~ epred42_0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_328,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_124])]) ).

cnf(c_0_329,negated_conjecture,
    ( epred26_0
    | c0_1(a500)
    | hskp13
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_232]),c_0_231]) ).

cnf(c_0_330,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp14
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_124])]) ).

cnf(c_0_331,negated_conjecture,
    ( epred18_0
    | c1_1(a494)
    | hskp2
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_202]),c_0_260]) ).

cnf(c_0_332,negated_conjecture,
    ( epred11_0
    | c1_1(a494)
    | hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_259]) ).

cnf(c_0_333,negated_conjecture,
    ( c3_1(X1)
    | hskp12
    | hskp30
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_124])]) ).

cnf(c_0_334,negated_conjecture,
    ( epred54_0
    | c3_1(a462)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_189]),c_0_191]) ).

cnf(c_0_335,negated_conjecture,
    ( epred42_0
    | c1_1(X1)
    | hskp18
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_124])]) ).

cnf(c_0_336,negated_conjecture,
    ( epred51_0
    | c1_1(a471)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).

cnf(c_0_337,negated_conjecture,
    ( epred5_0
    | c1_1(a494)
    | hskp16
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_267]),c_0_260]) ).

cnf(c_0_338,negated_conjecture,
    ( epred3_0
    | c3_1(a525)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_230]),c_0_269]) ).

cnf(c_0_339,negated_conjecture,
    ( epred3_0
    | c3_1(a487)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_230]),c_0_271]) ).

cnf(c_0_340,negated_conjecture,
    ( epred19_0
    | epred12_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_272,c_0_126]) ).

cnf(c_0_341,negated_conjecture,
    ( epred46_0
    | epred2_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_342,negated_conjecture,
    ( epred19_0
    | c1_1(a493)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_275]),c_0_276]) ).

cnf(c_0_343,negated_conjecture,
    ( epred8_0
    | c1_1(a494)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_277]),c_0_260]) ).

cnf(c_0_344,negated_conjecture,
    ( epred6_0
    | c1_1(a494)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_278]),c_0_262]) ).

cnf(c_0_345,negated_conjecture,
    ( epred1_0
    | c1_1(a494)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_279]),c_0_262]) ).

cnf(c_0_346,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp18
    | hskp19
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_124])]) ).

cnf(c_0_347,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp9
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_124])]) ).

cnf(c_0_348,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp7
    | hskp16
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_124])]) ).

cnf(c_0_349,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | hskp30
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_124])]) ).

cnf(c_0_350,negated_conjecture,
    ( c3_1(X1)
    | hskp17
    | hskp18
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_124])]) ).

cnf(c_0_351,negated_conjecture,
    ( hskp10
    | hskp24
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_124])]) ).

cnf(c_0_352,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_124])]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    clause124 ).

cnf(c_0_354,negated_conjecture,
    ( epred50_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_239]),c_0_124])]) ).

cnf(c_0_355,negated_conjecture,
    ( epred49_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_287]),c_0_124])]) ).

cnf(c_0_356,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | hskp16
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_288]),c_0_124])]) ).

cnf(c_0_357,negated_conjecture,
    ( c3_1(a488)
    | ~ hskp30 ),
    clause49 ).

cnf(c_0_358,negated_conjecture,
    ( c3_1(a479)
    | ~ hskp11 ),
    clause78 ).

cnf(c_0_359,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp9 ),
    clause81 ).

cnf(c_0_360,negated_conjecture,
    ( epred37_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp11
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_289]),c_0_124])]) ).

cnf(c_0_361,negated_conjecture,
    ( epred36_0
    | c2_1(X1)
    | hskp12
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_290]),c_0_124])]) ).

cnf(c_0_362,negated_conjecture,
    ( epred27_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_363,negated_conjecture,
    ( epred34_0
    | hskp28
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]),c_0_296]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    clause117 ).

cnf(c_0_365,negated_conjecture,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    clause118 ).

cnf(c_0_366,negated_conjecture,
    ( epred35_0
    | epred33_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_367,negated_conjecture,
    ( epred24_0
    | hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]),c_0_302]) ).

cnf(c_0_368,negated_conjecture,
    ( epred22_0
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_232]),c_0_231]),c_0_229]) ).

cnf(c_0_369,negated_conjecture,
    ( epred12_0
    | ~ c3_1(a470)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_126]),c_0_304]) ).

cnf(c_0_370,negated_conjecture,
    ( epred12_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_126]),c_0_198]),c_0_305]) ).

cnf(c_0_371,negated_conjecture,
    ( epred54_0
    | epred4_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_161,c_0_306]) ).

cnf(c_0_372,negated_conjecture,
    ( epred39_0
    | ~ c3_1(a462)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_189]),c_0_190]) ).

cnf(c_0_373,negated_conjecture,
    ( epred19_0
    | ~ c3_1(a462)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_189]),c_0_191]) ).

cnf(c_0_374,negated_conjecture,
    ( epred48_0
    | ~ c1_1(a478)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_151]),c_0_301]) ).

cnf(c_0_375,negated_conjecture,
    ( epred52_0
    | c1_1(a478)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_300]),c_0_301]) ).

cnf(c_0_376,negated_conjecture,
    ( epred48_0
    | epred3_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_377,negated_conjecture,
    ( epred53_0
    | epred4_0
    | ~ c0_1(a500)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_186,c_0_232]) ).

cnf(c_0_378,negated_conjecture,
    ( epred47_0
    | c0_1(a500)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_234]),c_0_231]) ).

cnf(c_0_379,negated_conjecture,
    ( epred53_0
    | epred47_0
    | epred4_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_380,negated_conjecture,
    ( epred30_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_312]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ epred36_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_313,c_0_290]),c_0_134]) ).

cnf(c_0_382,negated_conjecture,
    ( epred48_0
    | epred27_0
    | ~ epred51_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_383,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_316]) ).

cnf(c_0_384,negated_conjecture,
    ( epred4_0
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_317]),c_0_318]) ).

cnf(c_0_385,negated_conjecture,
    ( epred2_0
    | c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_317]),c_0_318]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    clause111 ).

cnf(c_0_387,negated_conjecture,
    ( epred59_0
    | epred12_0
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_126]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    clause110 ).

cnf(c_0_389,negated_conjecture,
    ( c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    clause207 ).

cnf(c_0_390,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause206 ).

cnf(c_0_391,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    clause204 ).

cnf(c_0_392,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    clause203 ).

cnf(c_0_393,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause199 ).

cnf(c_0_394,negated_conjecture,
    ( c0_1(X2)
    | hskp16
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    clause194 ).

cnf(c_0_395,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause192 ).

cnf(c_0_396,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause189 ).

cnf(c_0_397,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause188 ).

cnf(c_0_398,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp29
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause193 ).

cnf(c_0_399,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause182 ).

cnf(c_0_400,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause185 ).

cnf(c_0_401,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause181 ).

cnf(c_0_402,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp2
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause180 ).

cnf(c_0_403,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp29
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause177 ).

cnf(c_0_404,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp14
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause173 ).

cnf(c_0_405,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp16
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause172 ).

cnf(c_0_406,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause187 ).

cnf(c_0_407,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause179 ).

cnf(c_0_408,negated_conjecture,
    ( epred4_0
    | epred32_0
    | hskp29
    | ~ c1_1(a529)
    | ~ c0_1(a529)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_145,c_0_320]) ).

cnf(c_0_409,negated_conjecture,
    ( epred33_0
    | epred29_0
    | c3_1(a481)
    | c0_1(a481)
    | hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_410,negated_conjecture,
    ( epred4_0
    | epred28_0
    | hskp10
    | ~ c1_1(a529)
    | ~ c0_1(a529)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_145,c_0_323]) ).

cnf(c_0_411,negated_conjecture,
    ( epred58_0
    | epred28_0
    | hskp10
    | epred18_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_412,negated_conjecture,
    ( epred58_0
    | epred54_0
    | epred52_0
    | ~ epred28_0
    | ~ epred42_0 ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_413,negated_conjecture,
    ( epred38_0
    | c2_1(a500)
    | c3_1(a500)
    | hskp6
    | epred26_0
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_414,negated_conjecture,
    ( epred7_0
    | c2_1(a494)
    | c3_1(a494)
    | hskp14
    | epred18_0
    | hskp2
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_415,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred11_0
    | hskp29
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_186,c_0_332]) ).

cnf(c_0_416,negated_conjecture,
    ( c3_1(a494)
    | hskp12
    | hskp30
    | epred11_0
    | hskp29
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_333,c_0_332]) ).

cnf(c_0_417,negated_conjecture,
    ( epred51_0
    | c1_1(a462)
    | epred54_0
    | ~ c0_1(a462)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_334]) ).

cnf(c_0_418,negated_conjecture,
    ( epred42_0
    | c1_1(a462)
    | hskp18
    | epred54_0
    | ~ c0_1(a462)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_335,c_0_334]) ).

cnf(c_0_419,negated_conjecture,
    ( epred32_0
    | c2_1(a471)
    | hskp29
    | epred51_0
    | ~ c0_1(a471)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_244,c_0_336]) ).

cnf(c_0_420,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred5_0
    | hskp16
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_186,c_0_337]) ).

cnf(c_0_421,negated_conjecture,
    ( epred28_0
    | c2_1(a525)
    | hskp10
    | epred3_0
    | ~ c1_1(a525)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_197,c_0_338]) ).

cnf(c_0_422,negated_conjecture,
    ( epred42_0
    | c1_1(a487)
    | hskp18
    | epred3_0
    | ~ c0_1(a487)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_335,c_0_339]) ).

cnf(c_0_423,negated_conjecture,
    ( epred19_0
    | epred12_0
    | c1_1(a465)
    | c0_1(a465)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_340,c_0_294]) ).

cnf(c_0_424,negated_conjecture,
    ( epred46_0
    | epred2_0
    | c0_1(a493)
    | epred19_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_425,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred8_0
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_186,c_0_343]) ).

cnf(c_0_426,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred6_0
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_186,c_0_344]) ).

cnf(c_0_427,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred1_0
    | ~ c0_1(a494)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_186,c_0_345]) ).

cnf(c_0_428,negated_conjecture,
    ( c2_1(a487)
    | c1_1(a487)
    | hskp18
    | hskp19
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_346,c_0_271]) ).

cnf(c_0_429,negated_conjecture,
    ( c2_1(a471)
    | c1_1(a471)
    | hskp18
    | hskp19
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_346,c_0_266]) ).

cnf(c_0_430,negated_conjecture,
    ( c2_1(a487)
    | c1_1(a487)
    | hskp9
    | hskp17
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_347,c_0_271]) ).

cnf(c_0_431,negated_conjecture,
    ( c3_1(a478)
    | c0_1(a478)
    | hskp7
    | hskp16
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_348,c_0_300]) ).

cnf(c_0_432,negated_conjecture,
    ( c3_1(a500)
    | hskp12
    | hskp30
    | ~ c0_1(a500)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_333,c_0_232]) ).

cnf(c_0_433,negated_conjecture,
    ( c0_1(a478)
    | hskp1
    | hskp30
    | ~ c1_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_349,c_0_300]) ).

cnf(c_0_434,negated_conjecture,
    ( c3_1(a483)
    | hskp17
    | hskp18
    | ~ c1_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_350,c_0_223]) ).

cnf(c_0_435,negated_conjecture,
    ( c3_1(a478)
    | hskp17
    | hskp18
    | ~ c1_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_350,c_0_300]) ).

cnf(c_0_436,negated_conjecture,
    ( hskp10
    | hskp24
    | ~ c3_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_351,c_0_317]) ).

cnf(c_0_437,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ c1_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_352,c_0_317]) ).

cnf(c_0_438,negated_conjecture,
    ( epred59_0
    | c0_1(a488)
    | ~ c3_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_319,c_0_317]) ).

cnf(c_0_439,negated_conjecture,
    ( epred59_0
    | c0_1(a493)
    | ~ c3_1(a493)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_319,c_0_275]) ).

cnf(c_0_440,negated_conjecture,
    ( epred59_0
    | c0_1(a483)
    | ~ c3_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_319,c_0_223]) ).

cnf(c_0_441,negated_conjecture,
    ( epred59_0
    | c0_1(a477)
    | ~ c3_1(a477)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_319,c_0_158]) ).

cnf(c_0_442,negated_conjecture,
    ( epred35_0
    | epred53_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_166]) ).

cnf(c_0_443,negated_conjecture,
    ( epred53_0
    | ~ hskp19
    | ~ c1_1(a500)
    | ~ c0_1(a500) ),
    inference(spm,[status(thm)],[c_0_229,c_0_166]) ).

cnf(c_0_444,negated_conjecture,
    ( epred53_0
    | ~ hskp7
    | ~ c1_1(a471)
    | ~ c0_1(a471) ),
    inference(spm,[status(thm)],[c_0_353,c_0_166]) ).

cnf(c_0_445,negated_conjecture,
    ( epred50_0
    | c1_1(a478)
    | c0_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_302,c_0_354]) ).

cnf(c_0_446,negated_conjecture,
    ( epred49_0
    | c3_1(a500)
    | ~ hskp19
    | ~ c1_1(a500) ),
    inference(spm,[status(thm)],[c_0_229,c_0_355]) ).

cnf(c_0_447,negated_conjecture,
    ( epred46_0
    | c0_1(a500)
    | ~ hskp19
    | ~ c1_1(a500) ),
    inference(spm,[status(thm)],[c_0_229,c_0_274]) ).

cnf(c_0_448,negated_conjecture,
    ( epred43_0
    | c0_1(a488)
    | hskp16
    | ~ c1_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_449,negated_conjecture,
    ( epred42_0
    | c1_1(a482)
    | hskp18
    | ~ c0_1(a482)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_335,c_0_140]) ).

cnf(c_0_450,negated_conjecture,
    ( epred42_0
    | c1_1(a479)
    | hskp18
    | ~ c0_1(a479)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_335,c_0_358]) ).

cnf(c_0_451,negated_conjecture,
    ( epred42_0
    | c1_1(a477)
    | hskp18
    | ~ c0_1(a477)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_335,c_0_359]) ).

cnf(c_0_452,negated_conjecture,
    ( epred38_0
    | c2_1(a494)
    | c3_1(a494)
    | hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_328,c_0_262]) ).

cnf(c_0_453,negated_conjecture,
    ( epred37_0
    | c2_1(a482)
    | c0_1(a482)
    | hskp11
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_360,c_0_140]) ).

cnf(c_0_454,negated_conjecture,
    ( epred36_0
    | c2_1(a529)
    | hskp12
    | ~ c0_1(a529)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_361,c_0_248]) ).

cnf(c_0_455,negated_conjecture,
    ( epred36_0
    | c2_1(a471)
    | hskp12
    | ~ c0_1(a471)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_361,c_0_265]) ).

cnf(c_0_456,negated_conjecture,
    ( epred34_0
    | epred27_0
    | epred4_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_457,negated_conjecture,
    ( epred26_0
    | hskp13
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_322]),c_0_364]),c_0_365]) ).

cnf(c_0_458,negated_conjecture,
    ( epred35_0
    | epred33_0
    | epred24_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_459,negated_conjecture,
    ( epred22_0
    | hskp0
    | hskp10
    | hskp31 ),
    inference(spm,[status(thm)],[c_0_368,c_0_119]) ).

cnf(c_0_460,negated_conjecture,
    ( epred18_0
    | epred12_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_252]),c_0_370]) ).

cnf(c_0_461,negated_conjecture,
    ( epred54_0
    | epred4_0
    | hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_180]),c_0_181]) ).

cnf(c_0_462,negated_conjecture,
    ( epred54_0
    | c1_1(a478)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_300]),c_0_302]) ).

cnf(c_0_463,negated_conjecture,
    ( epred54_0
    | epred39_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_372,c_0_334]) ).

cnf(c_0_464,negated_conjecture,
    ( epred54_0
    | epred19_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_373,c_0_334]) ).

cnf(c_0_465,negated_conjecture,
    ( epred52_0
    | epred48_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_466,negated_conjecture,
    ( epred48_0
    | epred3_0
    | hskp10
    | hskp31 ),
    inference(spm,[status(thm)],[c_0_376,c_0_119]) ).

cnf(c_0_467,negated_conjecture,
    ( epred48_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_151]),c_0_322]),c_0_364]) ).

cnf(c_0_468,negated_conjecture,
    ( epred53_0
    | epred47_0
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_469,negated_conjecture,
    ( epred47_0
    | epred3_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_308,c_0_378]) ).

cnf(c_0_470,negated_conjecture,
    ( epred53_0
    | epred47_0
    | epred12_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_379]) ).

cnf(c_0_471,negated_conjecture,
    ( epred35_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_317]),c_0_318]),c_0_357]) ).

cnf(c_0_472,negated_conjecture,
    ( epred30_0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_248]),c_0_246]),c_0_245]) ).

cnf(c_0_473,negated_conjecture,
    ( epred30_0
    | ~ c1_1(a471)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_265]),c_0_266]) ).

cnf(c_0_474,negated_conjecture,
    ( epred48_0
    | ~ epred51_0
    | ~ epred50_0
    | ~ epred36_0 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_475,negated_conjecture,
    ( epred23_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_383]),c_0_262]),c_0_260]) ).

cnf(c_0_476,negated_conjecture,
    ( epred3_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_230]),c_0_262]),c_0_260]) ).

cnf(c_0_477,negated_conjecture,
    ( epred19_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_158]),c_0_359]),c_0_159]) ).

cnf(c_0_478,negated_conjecture,
    ( epred4_0
    | epred2_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_479,negated_conjecture,
    ( epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_223]),c_0_170]),c_0_171]) ).

cnf(c_0_480,negated_conjecture,
    ( epred1_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_279]),c_0_271]),c_0_386]) ).

cnf(c_0_481,negated_conjecture,
    ( epred59_0
    | epred12_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_276]),c_0_388]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ epred59_0
    | ~ epred30_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_389,c_0_243]),c_0_133]),c_0_312]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ epred58_0
    | ~ epred51_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_390,c_0_287]),c_0_130]),c_0_211]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ epred54_0
    | ~ epred53_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_391,c_0_149]),c_0_137]),c_0_136]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ epred52_0
    | ~ epred19_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_392,c_0_184]),c_0_213]),c_0_144]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_393,c_0_215]),c_0_185]),c_0_136]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ epred43_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_394,c_0_288]),c_0_182]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_395,c_0_257]),c_0_228]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ epred37_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_396,c_0_289]),c_0_182]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_397,c_0_221]),c_0_182]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ epred33_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_398,c_0_195]),c_0_183]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_399,c_0_196]),c_0_312]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_400,c_0_225]),c_0_135]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_401,c_0_226]),c_0_316]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_402,c_0_173]),c_0_213]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_403,c_0_210]),c_0_122]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_404,c_0_258]),c_0_216]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_212]),c_0_217]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_406,c_0_184]),c_0_133]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_407,c_0_218]),c_0_214]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ c1_1(a479)
    | ~ hskp11 ),
    clause119 ).

cnf(c_0_502,negated_conjecture,
    ( c1_1(a525)
    | ~ hskp24 ),
    clause61 ).

cnf(c_0_503,negated_conjecture,
    ( c0_1(a479)
    | ~ hskp11 ),
    clause77 ).

cnf(c_0_504,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp9 ),
    clause40 ).

cnf(c_0_505,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp3 ),
    clause34 ).

cnf(c_0_506,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp10 ),
    clause38 ).

cnf(c_0_507,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_408,c_0_409,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_415,c_0_416,c_0_417,c_0_418,c_0_419,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_326,c_0_457,c_0_458,c_0_459,c_0_460,c_0_156,c_0_461,c_0_462,c_0_175,c_0_463,c_0_464,c_0_465,c_0_466,c_0_376,c_0_309,c_0_467,c_0_374,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_315,c_0_241,c_0_475,c_0_308,c_0_476,c_0_477,c_0_370,c_0_478,c_0_384,c_0_181,c_0_479,c_0_480,c_0_481,c_0_186,c_0_145,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_255,c_0_488,c_0_489,c_0_381,c_0_490,c_0_491,c_0_492,c_0_204,c_0_253,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_191,c_0_296,c_0_295,c_0_353,c_0_159,c_0_302,c_0_301,c_0_501,c_0_365,c_0_364,c_0_138,c_0_141,c_0_171,c_0_270,c_0_386,c_0_388,c_0_259,c_0_260,c_0_229,c_0_231,c_0_268,c_0_359,c_0_276,c_0_357,c_0_248,c_0_170,c_0_232,c_0_502,c_0_318,c_0_245,c_0_190,c_0_266,c_0_503,c_0_271,c_0_262,c_0_246,c_0_504,c_0_505,c_0_506,c_0_119]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SYN505-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.15  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.38  % Computer : n029.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sat Aug 26 21:57:10 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 0.23/0.63  start to proof: theBenchmark
% 1.66/1.74  % Version  : CSE_E---1.5
% 1.66/1.74  % Problem  : theBenchmark.p
% 1.66/1.74  % Proof found
% 1.66/1.74  % SZS status Theorem for theBenchmark.p
% 1.66/1.74  % SZS output start Proof
% See solution above
% 1.66/1.76  % Total time : 1.098000 s
% 1.66/1.76  % SZS output end Proof
% 1.66/1.76  % Total time : 1.104000 s
%------------------------------------------------------------------------------