TSTP Solution File: SYN440-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN440-1 : 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 : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:51:49 EDT 2023

% Result   : Unsatisfiable 1.58s 1.69s
% Output   : CNFRefutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :  417
% Syntax   : Number of formulae    : 1092 (   2 unt; 184 typ;   0 def)
%            Number of atoms       : 3192 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3704 (1420   ~;2247   |;   0   &)
%                                         (  37 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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  :  118 ( 117 usr; 114 prp; 0-1 aty)
%            Number of functors    :   67 (  67 usr;  67 con; 0-0 aty)
%            Number of variables   :  248 (   0 sgn;  37   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp59: $o ).

tff(decl_23,type,
    hskp30: $o ).

tff(decl_24,type,
    hskp66: $o ).

tff(decl_25,type,
    ndr1_0: $o ).

tff(decl_26,type,
    hskp65: $o ).

tff(decl_27,type,
    hskp64: $o ).

tff(decl_28,type,
    hskp63: $o ).

tff(decl_29,type,
    hskp62: $o ).

tff(decl_30,type,
    hskp61: $o ).

tff(decl_31,type,
    hskp60: $o ).

tff(decl_32,type,
    hskp58: $o ).

tff(decl_33,type,
    hskp57: $o ).

tff(decl_34,type,
    hskp56: $o ).

tff(decl_35,type,
    hskp55: $o ).

tff(decl_36,type,
    hskp54: $o ).

tff(decl_37,type,
    hskp53: $o ).

tff(decl_38,type,
    hskp52: $o ).

tff(decl_39,type,
    hskp51: $o ).

tff(decl_40,type,
    hskp50: $o ).

tff(decl_41,type,
    hskp49: $o ).

tff(decl_42,type,
    hskp48: $o ).

tff(decl_43,type,
    hskp47: $o ).

tff(decl_44,type,
    hskp46: $o ).

tff(decl_45,type,
    hskp45: $o ).

tff(decl_46,type,
    hskp44: $o ).

tff(decl_47,type,
    hskp43: $o ).

tff(decl_48,type,
    hskp42: $o ).

tff(decl_49,type,
    hskp41: $o ).

tff(decl_50,type,
    hskp40: $o ).

tff(decl_51,type,
    hskp39: $o ).

tff(decl_52,type,
    hskp38: $o ).

tff(decl_53,type,
    hskp37: $o ).

tff(decl_54,type,
    hskp36: $o ).

tff(decl_55,type,
    hskp35: $o ).

tff(decl_56,type,
    hskp34: $o ).

tff(decl_57,type,
    hskp33: $o ).

tff(decl_58,type,
    hskp32: $o ).

tff(decl_59,type,
    hskp31: $o ).

tff(decl_60,type,
    hskp29: $o ).

tff(decl_61,type,
    hskp28: $o ).

tff(decl_62,type,
    hskp27: $o ).

tff(decl_63,type,
    hskp26: $o ).

tff(decl_64,type,
    hskp25: $o ).

tff(decl_65,type,
    hskp24: $o ).

tff(decl_66,type,
    hskp23: $o ).

tff(decl_67,type,
    hskp22: $o ).

tff(decl_68,type,
    hskp21: $o ).

tff(decl_69,type,
    hskp20: $o ).

tff(decl_70,type,
    hskp19: $o ).

tff(decl_71,type,
    hskp18: $o ).

tff(decl_72,type,
    hskp17: $o ).

tff(decl_73,type,
    hskp16: $o ).

tff(decl_74,type,
    hskp15: $o ).

tff(decl_75,type,
    hskp14: $o ).

tff(decl_76,type,
    hskp13: $o ).

tff(decl_77,type,
    hskp12: $o ).

tff(decl_78,type,
    hskp11: $o ).

tff(decl_79,type,
    hskp10: $o ).

tff(decl_80,type,
    hskp9: $o ).

tff(decl_81,type,
    hskp8: $o ).

tff(decl_82,type,
    hskp7: $o ).

tff(decl_83,type,
    hskp6: $o ).

tff(decl_84,type,
    hskp5: $o ).

tff(decl_85,type,
    hskp4: $o ).

tff(decl_86,type,
    hskp3: $o ).

tff(decl_87,type,
    hskp2: $o ).

tff(decl_88,type,
    hskp1: $o ).

tff(decl_89,type,
    hskp0: $o ).

tff(decl_90,type,
    a675: $i ).

tff(decl_91,type,
    c1_1: $i > $o ).

tff(decl_92,type,
    c3_1: $i > $o ).

tff(decl_93,type,
    a674: $i ).

tff(decl_94,type,
    c2_1: $i > $o ).

tff(decl_95,type,
    c0_1: $i > $o ).

tff(decl_96,type,
    a673: $i ).

tff(decl_97,type,
    a672: $i ).

tff(decl_98,type,
    a671: $i ).

tff(decl_99,type,
    a670: $i ).

tff(decl_100,type,
    a669: $i ).

tff(decl_101,type,
    a665: $i ).

tff(decl_102,type,
    a663: $i ).

tff(decl_103,type,
    a662: $i ).

tff(decl_104,type,
    a658: $i ).

tff(decl_105,type,
    a653: $i ).

tff(decl_106,type,
    a651: $i ).

tff(decl_107,type,
    a648: $i ).

tff(decl_108,type,
    a647: $i ).

tff(decl_109,type,
    a644: $i ).

tff(decl_110,type,
    a640: $i ).

tff(decl_111,type,
    a639: $i ).

tff(decl_112,type,
    a638: $i ).

tff(decl_113,type,
    a636: $i ).

tff(decl_114,type,
    a626: $i ).

tff(decl_115,type,
    a623: $i ).

tff(decl_116,type,
    a621: $i ).

tff(decl_117,type,
    a619: $i ).

tff(decl_118,type,
    a618: $i ).

tff(decl_119,type,
    a617: $i ).

tff(decl_120,type,
    a614: $i ).

tff(decl_121,type,
    a611: $i ).

tff(decl_122,type,
    a608: $i ).

tff(decl_123,type,
    a607: $i ).

tff(decl_124,type,
    a605: $i ).

tff(decl_125,type,
    a602: $i ).

tff(decl_126,type,
    a600: $i ).

tff(decl_127,type,
    a599: $i ).

tff(decl_128,type,
    a677: $i ).

tff(decl_129,type,
    a667: $i ).

tff(decl_130,type,
    a666: $i ).

tff(decl_131,type,
    a656: $i ).

tff(decl_132,type,
    a652: $i ).

tff(decl_133,type,
    a646: $i ).

tff(decl_134,type,
    a643: $i ).

tff(decl_135,type,
    a642: $i ).

tff(decl_136,type,
    a641: $i ).

tff(decl_137,type,
    a637: $i ).

tff(decl_138,type,
    a632: $i ).

tff(decl_139,type,
    a628: $i ).

tff(decl_140,type,
    a627: $i ).

tff(decl_141,type,
    a624: $i ).

tff(decl_142,type,
    a616: $i ).

tff(decl_143,type,
    a615: $i ).

tff(decl_144,type,
    a613: $i ).

tff(decl_145,type,
    a612: $i ).

tff(decl_146,type,
    a610: $i ).

tff(decl_147,type,
    a609: $i ).

tff(decl_148,type,
    a606: $i ).

tff(decl_149,type,
    a603: $i ).

tff(decl_150,type,
    a601: $i ).

tff(decl_151,type,
    a598: $i ).

tff(decl_152,type,
    a597: $i ).

tff(decl_153,type,
    a660: $i ).

tff(decl_154,type,
    a654: $i ).

tff(decl_155,type,
    a635: $i ).

tff(decl_156,type,
    a634: $i ).

tff(decl_157,type,
    a625: $i ).

tff(decl_158,type,
    a622: $i ).

tff(decl_159,type,
    a620: $i ).

tff(decl_160,type,
    a604: $i ).

tff(decl_161,type,
    epred1_0: $o ).

tff(decl_162,type,
    epred2_0: $o ).

tff(decl_163,type,
    epred3_0: $o ).

tff(decl_164,type,
    epred4_0: $o ).

tff(decl_165,type,
    epred5_0: $o ).

tff(decl_166,type,
    epred6_0: $o ).

tff(decl_167,type,
    epred7_0: $o ).

tff(decl_168,type,
    epred8_0: $o ).

tff(decl_169,type,
    epred9_0: $o ).

tff(decl_170,type,
    epred10_0: $o ).

tff(decl_171,type,
    epred11_0: $o ).

tff(decl_172,type,
    epred12_0: $o ).

tff(decl_173,type,
    epred13_0: $o ).

tff(decl_174,type,
    epred14_0: $o ).

tff(decl_175,type,
    epred15_0: $o ).

tff(decl_176,type,
    epred16_0: $o ).

tff(decl_177,type,
    epred17_0: $o ).

tff(decl_178,type,
    epred18_0: $o ).

tff(decl_179,type,
    epred19_0: $o ).

tff(decl_180,type,
    epred20_0: $o ).

tff(decl_181,type,
    epred21_0: $o ).

tff(decl_182,type,
    epred22_0: $o ).

tff(decl_183,type,
    epred23_0: $o ).

tff(decl_184,type,
    epred24_0: $o ).

tff(decl_185,type,
    epred25_0: $o ).

tff(decl_186,type,
    epred26_0: $o ).

tff(decl_187,type,
    epred27_0: $o ).

tff(decl_188,type,
    epred28_0: $o ).

tff(decl_189,type,
    epred29_0: $o ).

tff(decl_190,type,
    epred30_0: $o ).

tff(decl_191,type,
    epred31_0: $o ).

tff(decl_192,type,
    epred32_0: $o ).

tff(decl_193,type,
    epred33_0: $o ).

tff(decl_194,type,
    epred34_0: $o ).

tff(decl_195,type,
    epred35_0: $o ).

tff(decl_196,type,
    epred36_0: $o ).

tff(decl_197,type,
    epred37_0: $o ).

tff(decl_198,type,
    epred38_0: $o ).

tff(decl_199,type,
    epred39_0: $o ).

tff(decl_200,type,
    epred40_0: $o ).

tff(decl_201,type,
    epred41_0: $o ).

tff(decl_202,type,
    epred42_0: $o ).

tff(decl_203,type,
    epred43_0: $o ).

tff(decl_204,type,
    epred44_0: $o ).

tff(decl_205,type,
    epred45_0: $o ).

cnf(clause9,negated_conjecture,
    ( ndr1_0
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

cnf(clause1,negated_conjecture,
    ( hskp59
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause38,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(clause241,negated_conjecture,
    ( ~ c1_1(a632)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).

cnf(clause151,negated_conjecture,
    ( c3_1(a632)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

cnf(clause150,negated_conjecture,
    ( c0_1(a632)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

cnf(clause240,negated_conjecture,
    ( ~ c3_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).

cnf(clause239,negated_conjecture,
    ( ~ c0_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause239) ).

cnf(clause72,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(clause238,negated_conjecture,
    ( ~ c1_1(a634)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause238) ).

cnf(clause160,negated_conjecture,
    ( c1_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(clause161,negated_conjecture,
    ( c2_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause258,negated_conjecture,
    ( ~ c3_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause258) ).

cnf(clause289,negated_conjecture,
    ( hskp6
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).

cnf(clause297,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause297) ).

cnf(clause264,negated_conjecture,
    ( ~ c1_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

cnf(clause164,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause263,negated_conjecture,
    ( ~ c0_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause263) ).

cnf(clause122,negated_conjecture,
    ( c1_1(a614)
    | ~ hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause123,negated_conjecture,
    ( c0_1(a614)
    | ~ hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause121,negated_conjecture,
    ( c2_1(a614)
    | ~ hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(clause222,negated_conjecture,
    ( ~ c3_1(a654)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause222) ).

cnf(clause223,negated_conjecture,
    ( ~ c0_1(a654)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause223) ).

cnf(clause110,negated_conjecture,
    ( c1_1(a626)
    | ~ hskp46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause112,negated_conjecture,
    ( c3_1(a626)
    | ~ hskp46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause111,negated_conjecture,
    ( c0_1(a626)
    | ~ hskp46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause141,negated_conjecture,
    ( c1_1(a656)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

cnf(clause221,negated_conjecture,
    ( ~ c0_1(a656)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause221) ).

cnf(clause220,negated_conjecture,
    ( ~ c3_1(a656)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause220) ).

cnf(clause299,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause299) ).

cnf(clause126,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause127,negated_conjecture,
    ( c3_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause128,negated_conjecture,
    ( c0_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause76,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(clause77,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause73,negated_conjecture,
    ( hskp27
    | hskp40
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause224,negated_conjecture,
    ( ~ c1_1(a654)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause224) ).

cnf(clause91,negated_conjecture,
    ( c1_1(a662)
    | ~ hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(clause92,negated_conjecture,
    ( c2_1(a662)
    | ~ hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(clause183,negated_conjecture,
    ( ~ c0_1(a662)
    | ~ hskp57 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(clause179,negated_conjecture,
    ( ~ c2_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(clause86,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( c1_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause81,negated_conjecture,
    ( c1_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause80,negated_conjecture,
    ( c3_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause173,negated_conjecture,
    ( ~ c0_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(clause309,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp46
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).

cnf(clause171,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(clause184,negated_conjecture,
    ( ~ c1_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

cnf(clause94,negated_conjecture,
    ( c3_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause93,negated_conjecture,
    ( c2_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(clause177,negated_conjecture,
    ( ~ c1_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(clause85,negated_conjecture,
    ( c2_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(clause178,negated_conjecture,
    ( ~ c0_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(clause210,negated_conjecture,
    ( ~ c2_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).

cnf(clause137,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause136,negated_conjecture,
    ( c0_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(clause172,negated_conjecture,
    ( ~ c1_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(clause78,negated_conjecture,
    ( c2_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(clause79,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(clause75,negated_conjecture,
    ( hskp64
    | hskp65
    | hskp66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(clause322,negated_conjecture,
    ( c3_1(X3)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause322) ).

cnf(clause208,negated_conjecture,
    ( ~ c1_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).

cnf(clause133,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(clause207,negated_conjecture,
    ( ~ c3_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).

cnf(clause235,negated_conjecture,
    ( ~ c1_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).

cnf(clause236,negated_conjecture,
    ( ~ c2_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).

cnf(clause237,negated_conjecture,
    ( ~ c3_1(a635)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause237) ).

cnf(clause203,negated_conjecture,
    ( ~ c1_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

cnf(clause120,negated_conjecture,
    ( c3_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause119,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause96,negated_conjecture,
    ( c1_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause95,negated_conjecture,
    ( c3_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause185,negated_conjecture,
    ( ~ c2_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause74,negated_conjecture,
    ( hskp33
    | hskp60
    | hskp61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause301,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause301) ).

cnf(clause300,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | hskp42
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).

cnf(clause303,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp42
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).

cnf(clause291,negated_conjecture,
    ( c2_1(X1)
    | hskp43
    | hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).

cnf(clause290,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp39
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).

cnf(clause157,negated_conjecture,
    ( c1_1(a616)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

cnf(clause156,negated_conjecture,
    ( c0_1(a616)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(clause256,negated_conjecture,
    ( ~ c2_1(a616)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause256) ).

cnf(clause316,negated_conjecture,
    ( c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause316) ).

cnf(clause129,negated_conjecture,
    ( c1_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(clause130,negated_conjecture,
    ( c0_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause205,negated_conjecture,
    ( ~ c2_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

cnf(clause307,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp11
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause307) ).

cnf(clause326,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause326) ).

cnf(clause82,negated_conjecture,
    ( c3_1(a672)
    | ~ hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause175,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

cnf(clause89,negated_conjecture,
    ( c3_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause180,negated_conjecture,
    ( ~ c0_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause295,negated_conjecture,
    ( c2_1(X1)
    | hskp58
    | hskp41
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

cnf(clause142,negated_conjecture,
    ( c3_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(clause225,negated_conjecture,
    ( ~ c1_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).

cnf(clause146,negated_conjecture,
    ( c3_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(clause231,negated_conjecture,
    ( ~ c0_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause231) ).

cnf(clause285,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp53
    | hskp17
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).

cnf(clause287,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp26
    | hskp55
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause287) ).

cnf(clause246,negated_conjecture,
    ( ~ c1_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

cnf(clause247,negated_conjecture,
    ( ~ c0_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause247) ).

cnf(clause201,negated_conjecture,
    ( ~ c2_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

cnf(clause202,negated_conjecture,
    ( ~ c3_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

cnf(clause213,negated_conjecture,
    ( ~ c2_1(a667)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause213) ).

cnf(clause214,negated_conjecture,
    ( ~ c0_1(a667)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause214) ).

cnf(clause279,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp62
    | hskp63
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).

cnf(clause277,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp8
    | hskp9
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).

cnf(clause284,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp25
    | hskp52
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

cnf(clause281,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp40
    | hskp10
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).

cnf(clause288,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp3
    | hskp29
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause288) ).

cnf(clause294,negated_conjecture,
    ( c1_1(X1)
    | hskp23
    | hskp24
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

cnf(clause293,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | hskp15
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).

cnf(clause298,negated_conjecture,
    ( hskp5
    | hskp37
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).

cnf(clause306,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp56
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).

cnf(clause305,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp55
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).

cnf(clause302,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | hskp38
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause302) ).

cnf(clause118,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(clause163,negated_conjecture,
    ( c1_1(a610)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(clause261,negated_conjecture,
    ( ~ c2_1(a610)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause261) ).

cnf(clause262,negated_conjecture,
    ( ~ c0_1(a610)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause262) ).

cnf(clause176,negated_conjecture,
    ( ~ c1_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(clause84,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(clause83,negated_conjecture,
    ( c3_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(clause140,negated_conjecture,
    ( c0_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(clause216,negated_conjecture,
    ( ~ c3_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause216) ).

cnf(clause215,negated_conjecture,
    ( ~ c2_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).

cnf(clause204,negated_conjecture,
    ( ~ c1_1(a611)
    | ~ hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

cnf(clause125,negated_conjecture,
    ( c2_1(a611)
    | ~ hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause124,negated_conjecture,
    ( c3_1(a611)
    | ~ hskp39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause226,negated_conjecture,
    ( ~ c2_1(a652)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).

cnf(clause242,negated_conjecture,
    ( ~ c2_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).

cnf(clause152,negated_conjecture,
    ( c3_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause243,negated_conjecture,
    ( ~ c1_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).

cnf(clause248,negated_conjecture,
    ( ~ c1_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause248) ).

cnf(clause155,negated_conjecture,
    ( c3_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(clause270,negated_conjecture,
    ( ~ c1_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause270) ).

cnf(clause166,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause200,negated_conjecture,
    ( ~ c1_1(a619)
    | ~ hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

cnf(clause117,negated_conjecture,
    ( c0_1(a619)
    | ~ hskp43 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause245,negated_conjecture,
    ( ~ c2_1(a625)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

cnf(clause143,negated_conjecture,
    ( c3_1(a646)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(clause114,negated_conjecture,
    ( c2_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause88,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause101,negated_conjecture,
    ( c0_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause134,negated_conjecture,
    ( c2_1(a600)
    | ~ hskp34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(clause162,negated_conjecture,
    ( c3_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(clause260,negated_conjecture,
    ( ~ c1_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).

cnf(clause259,negated_conjecture,
    ( ~ c2_1(a612)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause259) ).

cnf(clause271,negated_conjecture,
    ( ~ c3_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause271) ).

cnf(clause167,negated_conjecture,
    ( c0_1(a601)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause273,negated_conjecture,
    ( ~ c3_1(a601)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause273) ).

cnf(clause272,negated_conjecture,
    ( ~ c2_1(a601)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause272) ).

cnf(clause90,negated_conjecture,
    ( c3_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause182,negated_conjecture,
    ( ~ c1_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(clause181,negated_conjecture,
    ( ~ c0_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(clause144,negated_conjecture,
    ( c3_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

cnf(clause230,negated_conjecture,
    ( ~ c1_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).

cnf(clause229,negated_conjecture,
    ( ~ c0_1(a643)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).

cnf(clause187,negated_conjecture,
    ( ~ c2_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(clause99,negated_conjecture,
    ( c3_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(clause100,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause257,negated_conjecture,
    ( ~ c2_1(a615)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause257) ).

cnf(clause159,negated_conjecture,
    ( c3_1(a615)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(clause158,negated_conjecture,
    ( c0_1(a615)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(clause189,negated_conjecture,
    ( ~ c1_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

cnf(clause188,negated_conjecture,
    ( ~ c2_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(clause249,negated_conjecture,
    ( ~ c2_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).

cnf(clause165,negated_conjecture,
    ( c2_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(clause266,negated_conjecture,
    ( ~ c3_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).

cnf(clause265,negated_conjecture,
    ( ~ c0_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).

cnf(clause217,negated_conjecture,
    ( ~ c1_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause217) ).

cnf(clause218,negated_conjecture,
    ( ~ c3_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).

cnf(clause219,negated_conjecture,
    ( ~ c0_1(a660)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).

cnf(clause254,negated_conjecture,
    ( ~ c3_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause254) ).

cnf(clause253,negated_conjecture,
    ( ~ c0_1(a620)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause253) ).

cnf(clause328,negated_conjecture,
    ( c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause328) ).

cnf(clause327,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause327) ).

cnf(clause324,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause324) ).

cnf(clause325,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause325) ).

cnf(clause321,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause321) ).

cnf(clause318,negated_conjecture,
    ( c2_1(X1)
    | hskp35
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause318) ).

cnf(clause319,negated_conjecture,
    ( c1_1(X2)
    | hskp57
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause319) ).

cnf(clause317,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | hskp31
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause317) ).

cnf(clause314,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp41
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).

cnf(clause312,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | hskp5
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).

cnf(clause311,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).

cnf(clause308,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp45
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).

cnf(clause228,negated_conjecture,
    ( ~ c0_1(a646)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).

cnf(clause227,negated_conjecture,
    ( ~ c2_1(a646)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).

cnf(clause209,negated_conjecture,
    ( ~ c3_1(a600)
    | ~ hskp34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause209) ).

cnf(clause197,negated_conjecture,
    ( ~ c0_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

cnf(clause135,negated_conjecture,
    ( c0_1(a600)
    | ~ hskp34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(clause145,negated_conjecture,
    ( c2_1(a642)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(clause113,negated_conjecture,
    ( c3_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause69,negated_conjecture,
    ( hskp33
    | hskp34
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(c_0_196,negated_conjecture,
    ( ndr1_0
    | ~ hskp59 ),
    clause9 ).

cnf(c_0_197,negated_conjecture,
    ( hskp59
    | hskp30 ),
    clause1 ).

cnf(c_0_198,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    clause38 ).

fof(c_0_199,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).

fof(c_0_201,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_202,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_203,negated_conjecture,
    ( epred3_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_200])]) ).

cnf(c_0_204,negated_conjecture,
    ( epred1_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_201]),c_0_200])]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ c1_1(a632)
    | ~ hskp18 ),
    clause241 ).

cnf(c_0_206,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_202]) ).

cnf(c_0_207,negated_conjecture,
    ( c3_1(a632)
    | ~ hskp18 ),
    clause151 ).

cnf(c_0_208,negated_conjecture,
    ( c0_1(a632)
    | ~ hskp18 ),
    clause150 ).

fof(c_0_209,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_210,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c3_1(a634)
    | ~ hskp19 ),
    clause240 ).

cnf(c_0_212,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c0_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c0_1(a634)
    | ~ hskp19 ),
    clause239 ).

cnf(c_0_214,negated_conjecture,
    ( epred17_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]),c_0_208]) ).

cnf(c_0_215,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp19 ),
    clause72 ).

cnf(c_0_216,negated_conjecture,
    ( ~ c1_1(a634)
    | ~ hskp19 ),
    clause238 ).

cnf(c_0_217,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_209]) ).

fof(c_0_218,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_219,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_220,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_221,negated_conjecture,
    ( epred43_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_210]) ).

cnf(c_0_222,negated_conjecture,
    ( c1_1(a613)
    | ~ hskp9 ),
    clause160 ).

cnf(c_0_223,negated_conjecture,
    ( c2_1(a613)
    | ~ hskp9 ),
    clause161 ).

cnf(c_0_224,negated_conjecture,
    ( ~ c3_1(a613)
    | ~ hskp9 ),
    clause258 ).

cnf(c_0_225,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]) ).

cnf(c_0_226,negated_conjecture,
    ( epred17_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_227,negated_conjecture,
    ( epred2_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_211]),c_0_213]) ).

fof(c_0_228,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_229,negated_conjecture,
    ( hskp6
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause289 ).

cnf(c_0_230,negated_conjecture,
    ( epred5_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_218]) ).

cnf(c_0_231,negated_conjecture,
    ( epred36_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_200])]) ).

fof(c_0_232,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( hskp46
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_233,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_220]) ).

cnf(c_0_234,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | ~ ndr1_0 ),
    clause297 ).

cnf(c_0_235,negated_conjecture,
    ( epred43_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]) ).

cnf(c_0_236,negated_conjecture,
    ( epred17_0
    | epred3_0
    | epred1_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_237,negated_conjecture,
    ( epred17_0
    | epred2_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_227,c_0_226]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ c1_1(a609)
    | ~ hskp6 ),
    clause264 ).

cnf(c_0_239,negated_conjecture,
    ( epred22_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_228]) ).

cnf(c_0_240,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp6 ),
    clause164 ).

cnf(c_0_241,negated_conjecture,
    ( ~ c0_1(a609)
    | ~ hskp6 ),
    clause263 ).

fof(c_0_242,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( hskp38
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_243,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_244,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_245,negated_conjecture,
    ( hskp6
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_200])]) ).

cnf(c_0_246,negated_conjecture,
    ( c1_1(a614)
    | ~ hskp40 ),
    clause122 ).

cnf(c_0_247,negated_conjecture,
    ( c0_1(a614)
    | ~ hskp40 ),
    clause123 ).

cnf(c_0_248,negated_conjecture,
    ( c2_1(a614)
    | ~ hskp40 ),
    clause121 ).

cnf(c_0_249,negated_conjecture,
    ( ~ c3_1(a654)
    | ~ hskp27 ),
    clause222 ).

cnf(c_0_250,negated_conjecture,
    ( ~ c0_1(a654)
    | ~ hskp27 ),
    clause223 ).

cnf(c_0_251,negated_conjecture,
    ( epred36_0
    | epred5_0
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_252,negated_conjecture,
    ( c1_1(a626)
    | ~ hskp46 ),
    clause110 ).

cnf(c_0_253,negated_conjecture,
    ( c3_1(a626)
    | ~ hskp46 ),
    clause112 ).

cnf(c_0_254,negated_conjecture,
    ( c0_1(a626)
    | ~ hskp46 ),
    clause111 ).

cnf(c_0_255,negated_conjecture,
    ( c1_1(a656)
    | ~ hskp28 ),
    clause141 ).

cnf(c_0_256,negated_conjecture,
    ( ~ c0_1(a656)
    | ~ hskp28 ),
    clause221 ).

cnf(c_0_257,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp46
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_200])]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ c3_1(a656)
    | ~ hskp28 ),
    clause220 ).

cnf(c_0_259,negated_conjecture,
    ( epred36_0
    | ~ c2_1(a634)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_231]),c_0_213]) ).

cnf(c_0_260,negated_conjecture,
    ( epred4_0
    | c2_1(a634)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_233]),c_0_211]) ).

cnf(c_0_261,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    clause299 ).

cnf(c_0_262,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_234,c_0_201]),c_0_209]) ).

cnf(c_0_263,negated_conjecture,
    ( epred43_0
    | epred17_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_264,negated_conjecture,
    ( epred43_0
    | epred17_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_237]) ).

fof(c_0_265,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_266,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_267,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( hskp57
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_268,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp56
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_269,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a609)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).

cnf(c_0_270,negated_conjecture,
    ( epred3_0
    | c3_1(a609)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_240]),c_0_241]) ).

cnf(c_0_271,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp38 ),
    clause126 ).

cnf(c_0_272,negated_conjecture,
    ( c3_1(a608)
    | ~ hskp38 ),
    clause127 ).

cnf(c_0_273,negated_conjecture,
    ( c0_1(a608)
    | ~ hskp38 ),
    clause128 ).

cnf(c_0_274,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp66 ),
    clause76 ).

cnf(c_0_275,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp66 ),
    clause77 ).

cnf(c_0_276,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | hskp38
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_200])]) ).

fof(c_0_277,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp41
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_278,negated_conjecture,
    ( epred6_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_200])]) ).

cnf(c_0_279,negated_conjecture,
    ( epred13_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_244]) ).

fof(c_0_280,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_281,negated_conjecture,
    ( hskp6
    | ~ c3_1(a614)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).

cnf(c_0_282,negated_conjecture,
    ( epred43_0
    | c3_1(a614)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_246]),c_0_248]) ).

cnf(c_0_283,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_212]),c_0_250]) ).

cnf(c_0_284,negated_conjecture,
    ( hskp27
    | hskp40
    | hskp28 ),
    clause73 ).

cnf(c_0_285,negated_conjecture,
    ( epred36_0
    | epred5_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_240]),c_0_241]) ).

cnf(c_0_286,negated_conjecture,
    ( hskp6
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_287,negated_conjecture,
    ( epred5_0
    | ~ c2_1(a656)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_255]),c_0_256]) ).

cnf(c_0_288,negated_conjecture,
    ( epred18_0
    | c2_1(a656)
    | hskp46
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_255]),c_0_258]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ c1_1(a654)
    | ~ hskp27 ),
    clause224 ).

cnf(c_0_290,negated_conjecture,
    ( epred36_0
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_261,c_0_199]),c_0_220]) ).

cnf(c_0_292,negated_conjecture,
    ( epred43_0
    | epred17_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]) ).

fof(c_0_293,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_294,negated_conjecture,
    ( epred35_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_265]) ).

cnf(c_0_295,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_266]) ).

cnf(c_0_296,negated_conjecture,
    ( c1_1(a662)
    | ~ hskp57 ),
    clause91 ).

cnf(c_0_297,negated_conjecture,
    ( c2_1(a662)
    | ~ hskp57 ),
    clause92 ).

cnf(c_0_298,negated_conjecture,
    ( ~ c0_1(a662)
    | ~ hskp57 ),
    clause183 ).

cnf(c_0_299,negated_conjecture,
    ( epred33_0
    | c1_1(X1)
    | hskp57
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_267]),c_0_200])]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ c2_1(a669)
    | ~ hskp60 ),
    clause179 ).

cnf(c_0_301,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp60 ),
    clause86 ).

cnf(c_0_302,negated_conjecture,
    ( epred9_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp56
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_200])]) ).

cnf(c_0_303,negated_conjecture,
    ( c1_1(a669)
    | ~ hskp60 ),
    clause87 ).

cnf(c_0_304,negated_conjecture,
    ( epred22_0
    | epred3_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_305,negated_conjecture,
    ( hskp6
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_271]),c_0_272]),c_0_273]) ).

cnf(c_0_306,negated_conjecture,
    ( c1_1(a673)
    | ~ hskp64 ),
    clause81 ).

cnf(c_0_307,negated_conjecture,
    ( c3_1(a673)
    | ~ hskp64 ),
    clause80 ).

cnf(c_0_308,negated_conjecture,
    ( ~ c0_1(a673)
    | ~ hskp64 ),
    clause173 ).

cnf(c_0_309,negated_conjecture,
    ( hskp6
    | ~ c0_1(a675)
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_274]),c_0_275]) ).

cnf(c_0_310,negated_conjecture,
    ( epred14_0
    | c0_1(a675)
    | hskp38
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_274]),c_0_275]) ).

cnf(c_0_311,negated_conjecture,
    ( epred28_0
    | c2_1(X1)
    | hskp41
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_277]),c_0_200])]) ).

cnf(c_0_312,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a632)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_278]),c_0_208]) ).

cnf(c_0_313,negated_conjecture,
    ( epred13_0
    | c2_1(a632)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_279]),c_0_208]) ).

cnf(c_0_314,negated_conjecture,
    ( epred7_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_280]) ).

cnf(c_0_315,negated_conjecture,
    ( epred43_0
    | hskp6
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_316,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_212]),c_0_256]) ).

cnf(c_0_317,negated_conjecture,
    ( epred3_0
    | epred1_0
    | hskp28
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_318,negated_conjecture,
    ( epred36_0
    | epred5_0
    | ~ hskp46 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_319,negated_conjecture,
    ( epred18_0
    | epred5_0
    | hskp46
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_320,negated_conjecture,
    ( epred2_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_217]),c_0_249]),c_0_250]) ).

cnf(c_0_321,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp46
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause309 ).

cnf(c_0_322,negated_conjecture,
    ( epred36_0
    | epred17_0
    | epred4_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_290,c_0_226]) ).

cnf(c_0_323,negated_conjecture,
    ( epred43_0
    | epred17_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_324,negated_conjecture,
    ( epred36_0
    | ~ c2_1(a654)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_231]),c_0_250]) ).

cnf(c_0_325,negated_conjecture,
    ( epred4_0
    | c2_1(a654)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_233]),c_0_249]) ).

cnf(c_0_326,negated_conjecture,
    ( epred27_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_293]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp66 ),
    clause171 ).

fof(c_0_328,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_329,negated_conjecture,
    ( epred39_0
    | epred35_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_330,negated_conjecture,
    ( epred5_0
    | ~ hskp57 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_296]),c_0_297]),c_0_298]) ).

cnf(c_0_331,negated_conjecture,
    ( epred33_0
    | hskp57
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_208]),c_0_207]),c_0_205]) ).

fof(c_0_332,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp55
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_333,negated_conjecture,
    ( ~ c1_1(a658)
    | ~ hskp56 ),
    clause184 ).

cnf(c_0_334,negated_conjecture,
    ( c3_1(a658)
    | ~ hskp56 ),
    clause94 ).

cnf(c_0_335,negated_conjecture,
    ( c2_1(a658)
    | ~ hskp56 ),
    clause93 ).

cnf(c_0_336,negated_conjecture,
    ( epred39_0
    | ~ c3_1(a669)
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_295]),c_0_301]) ).

cnf(c_0_337,negated_conjecture,
    ( epred9_0
    | c3_1(a669)
    | hskp56
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_300]) ).

fof(c_0_338,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_339,negated_conjecture,
    ( epred22_0
    | epred3_0
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_340,negated_conjecture,
    ( epred14_0
    | hskp38
    | ~ hskp64 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_306]),c_0_307]),c_0_308]) ).

cnf(c_0_341,negated_conjecture,
    ( epred14_0
    | hskp6
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_305]) ).

cnf(c_0_342,negated_conjecture,
    ( epred5_0
    | ~ c2_1(a673)
    | ~ hskp64 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_306]),c_0_308]) ).

cnf(c_0_343,negated_conjecture,
    ( epred28_0
    | c2_1(a673)
    | hskp41
    | ~ hskp64 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_306]),c_0_307]) ).

cnf(c_0_344,negated_conjecture,
    ( epred13_0
    | epred6_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_345,negated_conjecture,
    ( epred7_0
    | ~ c3_1(a614)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_246]),c_0_248]) ).

cnf(c_0_346,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_285,c_0_315]) ).

cnf(c_0_347,negated_conjecture,
    ( epred3_0
    | epred1_0
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_348,negated_conjecture,
    ( epred36_0
    | epred18_0
    | epred5_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_349,negated_conjecture,
    ( epred2_0
    | hskp28
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_320,c_0_284]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_321,c_0_232]),c_0_202]) ).

cnf(c_0_351,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_322]),c_0_323]) ).

cnf(c_0_352,negated_conjecture,
    ( epred36_0
    | epred4_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_353,negated_conjecture,
    ( epred7_0
    | ~ c2_1(a608)
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_271]),c_0_272]) ).

cnf(c_0_354,negated_conjecture,
    ( epred27_0
    | c2_1(a608)
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_271]),c_0_273]) ).

cnf(c_0_355,negated_conjecture,
    ( epred27_0
    | ~ c0_1(a675)
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_274]),c_0_327]) ).

cnf(c_0_356,negated_conjecture,
    ( epred45_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_328]) ).

cnf(c_0_357,negated_conjecture,
    ( epred35_0
    | ~ c3_1(a614)
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_248]),c_0_247]) ).

cnf(c_0_358,negated_conjecture,
    ( epred39_0
    | epred35_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_207]),c_0_208]) ).

fof(c_0_359,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( hskp35
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_360,negated_conjecture,
    ( epred33_0
    | epred5_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

fof(c_0_361,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp5
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_362,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp20
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_363,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_364,negated_conjecture,
    ( ~ c1_1(a670)
    | ~ hskp61 ),
    clause177 ).

cnf(c_0_365,negated_conjecture,
    ( c2_1(a670)
    | ~ hskp61 ),
    clause85 ).

cnf(c_0_366,negated_conjecture,
    ( epred11_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp55
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_332]),c_0_200])]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ c0_1(a670)
    | ~ hskp61 ),
    clause178 ).

cnf(c_0_368,negated_conjecture,
    ( epred22_0
    | ~ hskp56 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_239]),c_0_334]),c_0_335]) ).

cnf(c_0_369,negated_conjecture,
    ( epred39_0
    | epred9_0
    | hskp56
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ c2_1(a599)
    | ~ hskp33 ),
    clause210 ).

cnf(c_0_371,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp33 ),
    clause137 ).

cnf(c_0_372,negated_conjecture,
    ( c0_1(a599)
    | ~ hskp33 ),
    clause136 ).

cnf(c_0_373,negated_conjecture,
    ( ~ c1_1(a674)
    | ~ hskp65 ),
    clause172 ).

cnf(c_0_374,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_338]) ).

cnf(c_0_375,negated_conjecture,
    ( c2_1(a674)
    | ~ hskp65 ),
    clause78 ).

cnf(c_0_376,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp65 ),
    clause79 ).

cnf(c_0_377,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_378,negated_conjecture,
    ( hskp64
    | hskp65
    | hskp66 ),
    clause75 ).

cnf(c_0_379,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_304,c_0_341]) ).

cnf(c_0_380,negated_conjecture,
    ( epred28_0
    | epred5_0
    | hskp41
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_381,negated_conjecture,
    ( epred28_0
    | hskp41
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_274]),c_0_275]),c_0_327]) ).

cnf(c_0_382,negated_conjecture,
    ( epred13_0
    | epred6_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_344,c_0_215]) ).

cnf(c_0_383,negated_conjecture,
    ( c3_1(X3)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    clause322 ).

cnf(c_0_384,negated_conjecture,
    ( epred43_0
    | epred7_0
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_345,c_0_282]) ).

cnf(c_0_385,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_386,negated_conjecture,
    ( epred36_0
    | epred18_0
    | epred5_0
    | epred2_0
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_387,negated_conjecture,
    ( epred43_0
    | epred36_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_388,negated_conjecture,
    ( epred36_0
    | epred4_0
    | hskp28
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_352,c_0_284]) ).

cnf(c_0_389,negated_conjecture,
    ( epred27_0
    | epred7_0
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_390,negated_conjecture,
    ( epred27_0
    | epred14_0
    | hskp38
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_355,c_0_310]) ).

cnf(c_0_391,negated_conjecture,
    ( epred2_0
    | c3_1(a609)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_217]),c_0_241]) ).

cnf(c_0_392,negated_conjecture,
    ( hskp6
    | ~ c3_1(a669)
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_303]),c_0_301]) ).

cnf(c_0_393,negated_conjecture,
    ( epred45_0
    | ~ c0_1(a613)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_222]),c_0_223]) ).

cnf(c_0_394,negated_conjecture,
    ( epred3_0
    | c0_1(a613)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_223]),c_0_224]) ).

cnf(c_0_395,negated_conjecture,
    ( epred43_0
    | epred35_0
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_357,c_0_282]) ).

cnf(c_0_396,negated_conjecture,
    ( epred39_0
    | epred35_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_358,c_0_215]) ).

cnf(c_0_397,negated_conjecture,
    ( epred22_0
    | ~ c2_1(a632)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_239]),c_0_207]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ c1_1(a602)
    | ~ hskp35 ),
    clause208 ).

cnf(c_0_399,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp35 ),
    clause133 ).

cnf(c_0_400,negated_conjecture,
    ( ~ c3_1(a602)
    | ~ hskp35 ),
    clause207 ).

cnf(c_0_401,negated_conjecture,
    ( epred34_0
    | c2_1(X1)
    | hskp35
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_359]),c_0_200])]) ).

cnf(c_0_402,negated_conjecture,
    ( epred33_0
    | epred5_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_360,c_0_215]) ).

cnf(c_0_403,negated_conjecture,
    ( epred26_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp5
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_361]),c_0_200])]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ c1_1(a635)
    | ~ hskp20 ),
    clause235 ).

cnf(c_0_405,negated_conjecture,
    ( ~ c2_1(a635)
    | ~ hskp20 ),
    clause236 ).

cnf(c_0_406,negated_conjecture,
    ( ~ c3_1(a635)
    | ~ hskp20 ),
    clause237 ).

cnf(c_0_407,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp20
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_362]),c_0_200])]) ).

cnf(c_0_408,negated_conjecture,
    ( epred30_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_363]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c1_1(a617)
    | ~ hskp41 ),
    clause203 ).

cnf(c_0_410,negated_conjecture,
    ( c3_1(a617)
    | ~ hskp41 ),
    clause120 ).

cnf(c_0_411,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp41 ),
    clause119 ).

cnf(c_0_412,negated_conjecture,
    ( c1_1(a653)
    | ~ hskp55 ),
    clause96 ).

cnf(c_0_413,negated_conjecture,
    ( c3_1(a653)
    | ~ hskp55 ),
    clause95 ).

cnf(c_0_414,negated_conjecture,
    ( ~ c2_1(a653)
    | ~ hskp55 ),
    clause185 ).

cnf(c_0_415,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a670)
    | ~ hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_239]),c_0_365]) ).

cnf(c_0_416,negated_conjecture,
    ( epred11_0
    | c3_1(a670)
    | hskp55
    | ~ hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_365]),c_0_367]) ).

cnf(c_0_417,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred9_0
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_418,negated_conjecture,
    ( hskp33
    | hskp60
    | hskp61 ),
    clause74 ).

cnf(c_0_419,negated_conjecture,
    ( epred39_0
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_295]),c_0_371]),c_0_372]) ).

cnf(c_0_420,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause301 ).

cnf(c_0_421,negated_conjecture,
    ( epred32_0
    | ~ hskp65 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_375]),c_0_376]) ).

cnf(c_0_422,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred3_0
    | hskp65 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).

cnf(c_0_423,negated_conjecture,
    ( epred28_0
    | epred5_0
    | hskp41
    | hskp65 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_378]),c_0_381]) ).

fof(c_0_424,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( hskp42
        | c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_425,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( hskp11
        | c1_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_426,negated_conjecture,
    ( c3_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | hskp42
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    clause300 ).

cnf(c_0_427,negated_conjecture,
    ( epred13_0
    | epred6_0
    | epred2_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_227,c_0_382]) ).

cnf(c_0_428,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp42
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause303 ).

cnf(c_0_429,negated_conjecture,
    ( ~ epred39_0
    | ~ epred17_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_383,c_0_201]),c_0_266]),c_0_202]) ).

cnf(c_0_430,negated_conjecture,
    ( epred43_0
    | epred7_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_347]) ).

cnf(c_0_431,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | epred3_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_262,c_0_385]) ).

cnf(c_0_432,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_386]),c_0_387]) ).

cnf(c_0_433,negated_conjecture,
    ( epred36_0
    | epred18_0
    | epred5_0
    | epred4_0
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_348,c_0_388]) ).

fof(c_0_434,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( hskp45
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_435,negated_conjecture,
    ( epred27_0
    | epred14_0
    | epred7_0
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_389,c_0_340]) ).

cnf(c_0_436,negated_conjecture,
    ( epred27_0
    | epred14_0
    | epred7_0
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_437,negated_conjecture,
    ( epred17_0
    | hskp6
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_206]) ).

cnf(c_0_438,negated_conjecture,
    ( epred22_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_269,c_0_391]) ).

cnf(c_0_439,negated_conjecture,
    ( epred9_0
    | hskp6
    | hskp56
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_392,c_0_337]) ).

cnf(c_0_440,negated_conjecture,
    ( epred2_0
    | c3_1(a670)
    | ~ hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_217]),c_0_367]) ).

cnf(c_0_441,negated_conjecture,
    ( epred45_0
    | epred3_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_393,c_0_394]) ).

cnf(c_0_442,negated_conjecture,
    ( epred43_0
    | epred35_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_347]) ).

cnf(c_0_443,negated_conjecture,
    ( epred39_0
    | epred35_0
    | epred2_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_227,c_0_396]) ).

cnf(c_0_444,negated_conjecture,
    ( epred22_0
    | epred13_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_397,c_0_313]) ).

fof(c_0_445,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_446,negated_conjecture,
    ( epred3_0
    | c3_1(a670)
    | ~ hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_365]),c_0_367]) ).

cnf(c_0_447,negated_conjecture,
    ( epred27_0
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_303]),c_0_301]),c_0_300]) ).

cnf(c_0_448,negated_conjecture,
    ( epred32_0
    | ~ c0_1(a602)
    | ~ hskp35 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_374]),c_0_399]) ).

cnf(c_0_449,negated_conjecture,
    ( epred2_0
    | c0_1(a602)
    | ~ hskp35 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_217]),c_0_400]) ).

cnf(c_0_450,negated_conjecture,
    ( epred32_0
    | ~ c2_1(a632)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_374]),c_0_208]) ).

cnf(c_0_451,negated_conjecture,
    ( epred34_0
    | c2_1(a632)
    | hskp35
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_208]),c_0_207]) ).

cnf(c_0_452,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a602)
    | ~ hskp35 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_278]),c_0_399]) ).

cnf(c_0_453,negated_conjecture,
    ( epred3_0
    | c0_1(a602)
    | ~ hskp35 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_399]),c_0_400]) ).

cnf(c_0_454,negated_conjecture,
    ( epred33_0
    | epred5_0
    | epred2_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_227,c_0_402]) ).

fof(c_0_455,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_456,negated_conjecture,
    ( epred26_0
    | c2_1(a632)
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_207]),c_0_205]) ).

cnf(c_0_457,negated_conjecture,
    ( epred13_0
    | ~ c0_1(a635)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_279]),c_0_405]) ).

cnf(c_0_458,negated_conjecture,
    ( epred2_0
    | c0_1(a635)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_217]),c_0_406]) ).

cnf(c_0_459,negated_conjecture,
    ( epred21_0
    | c3_1(a669)
    | hskp20
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_301]),c_0_300]) ).

cnf(c_0_460,negated_conjecture,
    ( epred30_0
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_461,negated_conjecture,
    ( c2_1(X1)
    | hskp43
    | hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause291 ).

fof(c_0_462,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_463,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp39
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause290 ).

cnf(c_0_464,negated_conjecture,
    ( epred22_0
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_239]),c_0_410]),c_0_411]) ).

cnf(c_0_465,negated_conjecture,
    ( epred28_0
    | hskp41
    | ~ hskp55 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_412]),c_0_413]),c_0_414]) ).

cnf(c_0_466,negated_conjecture,
    ( epred22_0
    | epred11_0
    | hskp55
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_467,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred9_0
    | hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ epred5_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_199]),c_0_218]) ).

cnf(c_0_469,negated_conjecture,
    ( epred32_0
    | epred22_0
    | epred14_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_470,negated_conjecture,
    ( epred32_0
    | epred28_0
    | epred5_0
    | hskp41 ),
    inference(spm,[status(thm)],[c_0_421,c_0_423]) ).

cnf(c_0_471,negated_conjecture,
    ( epred8_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp42
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_424]),c_0_200])]) ).

cnf(c_0_472,negated_conjecture,
    ( c1_1(a616)
    | ~ hskp11 ),
    clause157 ).

cnf(c_0_473,negated_conjecture,
    ( c0_1(a616)
    | ~ hskp11 ),
    clause156 ).

cnf(c_0_474,negated_conjecture,
    ( ~ c2_1(a616)
    | ~ hskp11 ),
    clause256 ).

cnf(c_0_475,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_425]),c_0_200])]) ).

cnf(c_0_476,negated_conjecture,
    ( c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    clause316 ).

cnf(c_0_477,negated_conjecture,
    ( ~ epred8_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_426,c_0_424]),c_0_209]) ).

cnf(c_0_478,negated_conjecture,
    ( epred43_0
    | epred13_0
    | epred6_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_427]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ epred13_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_424]),c_0_244]) ).

cnf(c_0_480,negated_conjecture,
    ( epred43_0
    | epred7_0
    | epred3_0
    | ~ epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_292]) ).

cnf(c_0_481,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_482,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_433]),c_0_387]) ).

cnf(c_0_483,negated_conjecture,
    ( epred19_0
    | c0_1(X1)
    | hskp45
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_434]),c_0_200])]) ).

cnf(c_0_484,negated_conjecture,
    ( c1_1(a607)
    | ~ hskp37 ),
    clause129 ).

cnf(c_0_485,negated_conjecture,
    ( c0_1(a607)
    | ~ hskp37 ),
    clause130 ).

cnf(c_0_486,negated_conjecture,
    ( ~ c2_1(a607)
    | ~ hskp37 ),
    clause205 ).

cnf(c_0_487,negated_conjecture,
    ( c2_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp11
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    clause307 ).

cnf(c_0_488,negated_conjecture,
    ( epred27_0
    | epred14_0
    | epred7_0
    | hskp65 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_378]),c_0_436]) ).

cnf(c_0_489,negated_conjecture,
    ( epred39_0
    | ~ c0_1(a675)
    | ~ hskp66 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_295]),c_0_275]) ).

cnf(c_0_490,negated_conjecture,
    ( epred17_0
    | hskp6
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_371]),c_0_372]) ).

cnf(c_0_491,negated_conjecture,
    ( epred22_0
    | epred9_0
    | epred2_0
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_368]) ).

cnf(c_0_492,negated_conjecture,
    ( epred22_0
    | epred2_0
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_415,c_0_440]) ).

cnf(c_0_493,negated_conjecture,
    ( epred45_0
    | ~ hskp40 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_246]),c_0_248]),c_0_247]) ).

cnf(c_0_494,negated_conjecture,
    ( epred45_0
    | epred17_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_236]) ).

cnf(c_0_495,negated_conjecture,
    ( epred45_0
    | epred17_0
    | epred3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_237]) ).

cnf(c_0_496,negated_conjecture,
    ( epred43_0
    | epred35_0
    | epred3_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_262,c_0_442]) ).

cnf(c_0_497,negated_conjecture,
    ( epred43_0
    | epred39_0
    | epred35_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_443]) ).

cnf(c_0_498,negated_conjecture,
    ( epred22_0
    | epred13_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_444,c_0_215]) ).

cnf(c_0_499,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_445]) ).

cnf(c_0_500,negated_conjecture,
    ( epred22_0
    | epred3_0
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_415,c_0_446]) ).

cnf(c_0_501,negated_conjecture,
    ( epred27_0
    | hskp33
    | hskp61 ),
    inference(spm,[status(thm)],[c_0_447,c_0_418]) ).

cnf(c_0_502,negated_conjecture,
    ( epred32_0
    | epred2_0
    | ~ hskp35 ),
    inference(spm,[status(thm)],[c_0_448,c_0_449]) ).

cnf(c_0_503,negated_conjecture,
    ( epred34_0
    | epred32_0
    | hskp35
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_504,negated_conjecture,
    ( epred6_0
    | epred3_0
    | ~ hskp35 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_505,negated_conjecture,
    ( epred34_0
    | epred6_0
    | hskp35
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_312,c_0_451]) ).

cnf(c_0_506,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3) ),
    clause326 ).

cnf(c_0_507,negated_conjecture,
    ( epred43_0
    | epred33_0
    | epred5_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_454]) ).

cnf(c_0_508,negated_conjecture,
    ( epred28_0
    | hskp41
    | ~ c3_1(a669)
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_303]),c_0_300]) ).

cnf(c_0_509,negated_conjecture,
    ( epred18_0
    | c3_1(a669)
    | hskp46
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_303]),c_0_300]) ).

cnf(c_0_510,negated_conjecture,
    ( epred15_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_455]) ).

cnf(c_0_511,negated_conjecture,
    ( epred32_0
    | epred26_0
    | hskp5
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_450,c_0_456]) ).

fof(c_0_512,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_513,negated_conjecture,
    ( c3_1(a672)
    | ~ hskp63 ),
    clause82 ).

cnf(c_0_514,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp63 ),
    clause175 ).

cnf(c_0_515,negated_conjecture,
    ( epred13_0
    | epred2_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_516,negated_conjecture,
    ( epred39_0
    | epred21_0
    | hskp20
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_336,c_0_459]) ).

cnf(c_0_517,negated_conjecture,
    ( epred30_0
    | epred18_0
    | epred5_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_460,c_0_319]) ).

fof(c_0_518,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp31
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_519,negated_conjecture,
    ( c3_1(a665)
    | ~ hskp59 ),
    clause89 ).

cnf(c_0_520,negated_conjecture,
    ( ~ c0_1(a665)
    | ~ hskp59 ),
    clause180 ).

cnf(c_0_521,negated_conjecture,
    ( c2_1(X1)
    | hskp58
    | hskp41
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause295 ).

cnf(c_0_522,negated_conjecture,
    ( c3_1(a652)
    | ~ hskp26 ),
    clause142 ).

cnf(c_0_523,negated_conjecture,
    ( ~ c1_1(a652)
    | ~ hskp26 ),
    clause225 ).

cnf(c_0_524,negated_conjecture,
    ( c3_1(a642)
    | ~ hskp23 ),
    clause146 ).

cnf(c_0_525,negated_conjecture,
    ( ~ c0_1(a642)
    | ~ hskp23 ),
    clause231 ).

cnf(c_0_526,negated_conjecture,
    ( epred17_0
    | epred7_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_206]) ).

cnf(c_0_527,negated_conjecture,
    ( epred27_0
    | epred17_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_326,c_0_206]) ).

cnf(c_0_528,negated_conjecture,
    ( epred9_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp56 ),
    inference(spm,[status(thm)],[c_0_302,c_0_233]) ).

cnf(c_0_529,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp53
    | hskp17
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause285 ).

cnf(c_0_530,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp26
    | hskp55
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause287 ).

cnf(c_0_531,negated_conjecture,
    ( ~ c1_1(a625)
    | ~ hskp15 ),
    clause246 ).

cnf(c_0_532,negated_conjecture,
    ( ~ c0_1(a625)
    | ~ hskp15 ),
    clause247 ).

cnf(c_0_533,negated_conjecture,
    ( ~ c2_1(a618)
    | ~ hskp42 ),
    clause201 ).

cnf(c_0_534,negated_conjecture,
    ( ~ c3_1(a618)
    | ~ hskp42 ),
    clause202 ).

cnf(c_0_535,negated_conjecture,
    ( c2_1(X1)
    | hskp12
    | hskp43
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_200])]) ).

cnf(c_0_536,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_462]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ c2_1(a667)
    | ~ hskp31 ),
    clause213 ).

cnf(c_0_538,negated_conjecture,
    ( ~ c0_1(a667)
    | ~ hskp31 ),
    clause214 ).

cnf(c_0_539,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp39
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_200])]) ).

cnf(c_0_540,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp62
    | hskp63
    | ~ ndr1_0 ),
    clause279 ).

cnf(c_0_541,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp8
    | hskp9
    | ~ ndr1_0 ),
    clause277 ).

cnf(c_0_542,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp25
    | hskp52
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause284 ).

cnf(c_0_543,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp40
    | hskp10
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause281 ).

cnf(c_0_544,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp3
    | hskp29
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause288 ).

cnf(c_0_545,negated_conjecture,
    ( c1_1(X1)
    | hskp23
    | hskp24
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause294 ).

cnf(c_0_546,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | hskp15
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause293 ).

cnf(c_0_547,negated_conjecture,
    ( hskp5
    | hskp37
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause298 ).

fof(c_0_548,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_549,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_550,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp56
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause306 ).

cnf(c_0_551,negated_conjecture,
    ( epred28_0
    | epred22_0
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_552,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred11_0
    | epred9_0
    | hskp55 ),
    inference(spm,[status(thm)],[c_0_466,c_0_467]) ).

cnf(c_0_553,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp55
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause305 ).

cnf(c_0_554,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | hskp38
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause302 ).

cnf(c_0_555,negated_conjecture,
    ( epred32_0
    | epred22_0
    | epred14_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_556,negated_conjecture,
    ( epred32_0
    | epred28_0
    | epred22_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_470]) ).

cnf(c_0_557,negated_conjecture,
    ( epred32_0
    | ~ c0_1(a617)
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_374]),c_0_411]) ).

cnf(c_0_558,negated_conjecture,
    ( epred8_0
    | c0_1(a617)
    | hskp42
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_410]),c_0_409]) ).

cnf(c_0_559,negated_conjecture,
    ( epred7_0
    | ~ c2_1(a626)
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_252]),c_0_253]) ).

cnf(c_0_560,negated_conjecture,
    ( epred28_0
    | c2_1(a626)
    | hskp41
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_252]),c_0_253]) ).

cnf(c_0_561,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp42 ),
    clause118 ).

cnf(c_0_562,negated_conjecture,
    ( c1_1(a610)
    | ~ hskp7 ),
    clause163 ).

cnf(c_0_563,negated_conjecture,
    ( ~ c2_1(a610)
    | ~ hskp7 ),
    clause261 ).

cnf(c_0_564,negated_conjecture,
    ( ~ c0_1(a610)
    | ~ hskp7 ),
    clause262 ).

cnf(c_0_565,negated_conjecture,
    ( ~ c1_1(a671)
    | ~ hskp62 ),
    clause176 ).

cnf(c_0_566,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp62 ),
    clause84 ).

cnf(c_0_567,negated_conjecture,
    ( c3_1(a671)
    | ~ hskp62 ),
    clause83 ).

cnf(c_0_568,negated_conjecture,
    ( epred27_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_472]),c_0_473]),c_0_474]) ).

cnf(c_0_569,negated_conjecture,
    ( epred25_0
    | hskp11
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_475]),c_0_406]),c_0_405]) ).

cnf(c_0_570,negated_conjecture,
    ( c0_1(a666)
    | ~ hskp30 ),
    clause140 ).

cnf(c_0_571,negated_conjecture,
    ( ~ c3_1(a666)
    | ~ hskp30 ),
    clause216 ).

cnf(c_0_572,negated_conjecture,
    ( ~ c2_1(a666)
    | ~ hskp30 ),
    clause215 ).

cnf(c_0_573,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_243]),c_0_280]) ).

cnf(c_0_574,negated_conjecture,
    ( epred43_0
    | epred6_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]) ).

cnf(c_0_575,negated_conjecture,
    ( epred43_0
    | epred7_0
    | ~ epred39_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_480]) ).

cnf(c_0_576,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_481]),c_0_482]) ).

cnf(c_0_577,negated_conjecture,
    ( epred19_0
    | hskp45
    | ~ c3_1(a609)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_240]),c_0_241]) ).

cnf(c_0_578,negated_conjecture,
    ( hskp6
    | ~ c3_1(a607)
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_484]),c_0_485]) ).

cnf(c_0_579,negated_conjecture,
    ( epred18_0
    | c3_1(a607)
    | hskp46
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_484]),c_0_486]) ).

cnf(c_0_580,negated_conjecture,
    ( epred30_0
    | ~ c3_1(a669)
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_303]),c_0_301]) ).

cnf(c_0_581,negated_conjecture,
    ( epred27_0
    | c2_1(a626)
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_252]),c_0_254]) ).

cnf(c_0_582,negated_conjecture,
    ( epred22_0
    | epred2_0
    | ~ hskp38 ),
    inference(spm,[status(thm)],[c_0_438,c_0_305]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ epred25_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_487,c_0_425]),c_0_280]) ).

cnf(c_0_584,negated_conjecture,
    ( epred32_0
    | epred27_0
    | epred14_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_488]) ).

cnf(c_0_585,negated_conjecture,
    ( epred39_0
    | epred35_0
    | ~ hskp38 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_272]),c_0_273]) ).

cnf(c_0_586,negated_conjecture,
    ( epred39_0
    | epred14_0
    | hskp38
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_489,c_0_310]) ).

cnf(c_0_587,negated_conjecture,
    ( epred22_0
    | epred17_0
    | epred2_0
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_438,c_0_490]) ).

cnf(c_0_588,negated_conjecture,
    ( epred22_0
    | epred9_0
    | epred2_0
    | hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_418]),c_0_492]) ).

cnf(c_0_589,negated_conjecture,
    ( epred45_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_347]) ).

cnf(c_0_590,negated_conjecture,
    ( epred45_0
    | epred17_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_494]),c_0_495]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ c1_1(a611)
    | ~ hskp39 ),
    clause204 ).

cnf(c_0_592,negated_conjecture,
    ( c2_1(a611)
    | ~ hskp39 ),
    clause125 ).

cnf(c_0_593,negated_conjecture,
    ( c3_1(a611)
    | ~ hskp39 ),
    clause124 ).

cnf(c_0_594,negated_conjecture,
    ( ~ c2_1(a652)
    | ~ hskp26 ),
    clause226 ).

cnf(c_0_595,negated_conjecture,
    ( epred43_0
    | epred39_0
    | epred35_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ c2_1(a628)
    | ~ hskp17 ),
    clause242 ).

cnf(c_0_597,negated_conjecture,
    ( c3_1(a628)
    | ~ hskp17 ),
    clause152 ).

cnf(c_0_598,negated_conjecture,
    ( ~ c1_1(a628)
    | ~ hskp17 ),
    clause243 ).

cnf(c_0_599,negated_conjecture,
    ( ~ c1_1(a624)
    | ~ hskp14 ),
    clause248 ).

cnf(c_0_600,negated_conjecture,
    ( c3_1(a624)
    | ~ hskp14 ),
    clause155 ).

cnf(c_0_601,negated_conjecture,
    ( epred22_0
    | epred13_0
    | epred2_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_227,c_0_498]) ).

cnf(c_0_602,negated_conjecture,
    ( epred20_0
    | c3_1(a669)
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_303]),c_0_300]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ c1_1(a603)
    | ~ hskp3 ),
    clause270 ).

cnf(c_0_604,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp3 ),
    clause166 ).

cnf(c_0_605,negated_conjecture,
    ( epred22_0
    | epred17_0
    | epred3_0
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_304,c_0_490]) ).

cnf(c_0_606,negated_conjecture,
    ( epred27_0
    | epred22_0
    | epred3_0
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ c1_1(a619)
    | ~ hskp43 ),
    clause200 ).

cnf(c_0_608,negated_conjecture,
    ( c0_1(a619)
    | ~ hskp43 ),
    clause117 ).

cnf(c_0_609,negated_conjecture,
    ( ~ c2_1(a625)
    | ~ hskp15 ),
    clause245 ).

cnf(c_0_610,negated_conjecture,
    ( epred27_0
    | epred13_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_326,c_0_279]) ).

cnf(c_0_611,negated_conjecture,
    ( epred34_0
    | epred32_0
    | epred2_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_612,negated_conjecture,
    ( epred34_0
    | epred6_0
    | epred3_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ epred36_0
    | ~ epred22_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_506,c_0_219]),c_0_218]),c_0_228]) ).

cnf(c_0_614,negated_conjecture,
    ( epred43_0
    | epred33_0
    | epred5_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_507]) ).

cnf(c_0_615,negated_conjecture,
    ( epred22_0
    | epred2_0
    | ~ hskp46 ),
    inference(spm,[status(thm)],[c_0_438,c_0_286]) ).

cnf(c_0_616,negated_conjecture,
    ( epred28_0
    | epred18_0
    | hskp41
    | hskp46
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_617,negated_conjecture,
    ( epred28_0
    | epred15_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp41
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_311,c_0_510]) ).

cnf(c_0_618,negated_conjecture,
    ( c3_1(a646)
    | ~ hskp25 ),
    clause143 ).

cnf(c_0_619,negated_conjecture,
    ( epred32_0
    | epred26_0
    | hskp5
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_511,c_0_215]) ).

cnf(c_0_620,negated_conjecture,
    ( epred42_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_512]),c_0_200])]) ).

cnf(c_0_621,negated_conjecture,
    ( epred26_0
    | c1_1(a672)
    | hskp5
    | ~ hskp63 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_513]),c_0_514]) ).

cnf(c_0_622,negated_conjecture,
    ( epred39_0
    | epred21_0
    | epred13_0
    | epred2_0
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_623,negated_conjecture,
    ( epred30_0
    | epred18_0
    | epred5_0
    | epred2_0
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_517,c_0_349]) ).

cnf(c_0_624,negated_conjecture,
    ( epred22_0
    | epred14_0
    | c0_1(X1)
    | hskp38
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_239]) ).

cnf(c_0_625,negated_conjecture,
    ( c2_1(a623)
    | ~ hskp45 ),
    clause114 ).

cnf(c_0_626,negated_conjecture,
    ( epred31_0
    | c0_1(X1)
    | hskp31
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_518]),c_0_200])]) ).

cnf(c_0_627,negated_conjecture,
    ( epred8_0
    | c1_1(a665)
    | hskp42
    | ~ hskp59 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_519]),c_0_520]) ).

cnf(c_0_628,negated_conjecture,
    ( c2_1(X1)
    | hskp41
    | hskp58
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_521,c_0_200])]) ).

cnf(c_0_629,negated_conjecture,
    ( epred8_0
    | c0_1(a652)
    | hskp42
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_522]),c_0_523]) ).

cnf(c_0_630,negated_conjecture,
    ( epred8_0
    | c1_1(a642)
    | hskp42
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_524]),c_0_525]) ).

cnf(c_0_631,negated_conjecture,
    ( epred27_0
    | epred17_0
    | epred7_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_632,negated_conjecture,
    ( epred27_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_326,c_0_233]) ).

cnf(c_0_633,negated_conjecture,
    ( epred22_0
    | epred5_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_239]) ).

cnf(c_0_634,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp59 ),
    clause88 ).

cnf(c_0_635,negated_conjecture,
    ( epred11_0
    | epred1_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp55 ),
    inference(spm,[status(thm)],[c_0_366,c_0_204]) ).

cnf(c_0_636,negated_conjecture,
    ( epred22_0
    | epred9_0
    | epred4_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_368,c_0_528]) ).

cnf(c_0_637,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp17
    | hskp53
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_200])]) ).

cnf(c_0_638,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp26
    | hskp55
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_200])]) ).

cnf(c_0_639,negated_conjecture,
    ( epred2_0
    | c3_1(a625)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_217]),c_0_532]) ).

cnf(c_0_640,negated_conjecture,
    ( epred1_0
    | c0_1(a618)
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_204]),c_0_534]) ).

cnf(c_0_641,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | hskp12
    | hskp43
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_642,negated_conjecture,
    ( epred1_0
    | c3_1(a667)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_204]),c_0_538]) ).

cnf(c_0_643,negated_conjecture,
    ( epred13_0
    | c2_1(X1)
    | hskp7
    | hskp39
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_539,c_0_279]) ).

cnf(c_0_644,negated_conjecture,
    ( epred1_0
    | c0_1(a635)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_204]),c_0_406]) ).

cnf(c_0_645,negated_conjecture,
    ( epred28_0
    | epred10_0
    | c2_1(X1)
    | hskp41
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_311,c_0_536]) ).

cnf(c_0_646,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp62
    | hskp63 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_200])]) ).

cnf(c_0_647,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp8
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_200])]) ).

cnf(c_0_648,negated_conjecture,
    ( c0_1(a647)
    | ~ hskp52 ),
    clause101 ).

cnf(c_0_649,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c0_1(a635)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_406,c_0_212]) ).

cnf(c_0_650,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp25
    | hskp52
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_200])]) ).

cnf(c_0_651,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp40
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_200])]) ).

cnf(c_0_652,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp3
    | hskp29
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_200])]) ).

cnf(c_0_653,negated_conjecture,
    ( c1_1(X1)
    | hskp23
    | hskp24
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_545,c_0_200])]) ).

cnf(c_0_654,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | hskp15
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_200])]) ).

cnf(c_0_655,negated_conjecture,
    ( hskp5
    | hskp37
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_547,c_0_200])]) ).

cnf(c_0_656,negated_conjecture,
    ( epred44_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_548]),c_0_200])]) ).

cnf(c_0_657,negated_conjecture,
    ( c2_1(a600)
    | ~ hskp34 ),
    clause134 ).

cnf(c_0_658,negated_conjecture,
    ( epred38_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_549]),c_0_200])]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_550,c_0_268]),c_0_462]) ).

cnf(c_0_660,negated_conjecture,
    ( epred39_0
    | epred28_0
    | epred22_0
    | epred11_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_332]),c_0_462]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_242]),c_0_455]) ).

cnf(c_0_663,negated_conjecture,
    ( epred32_0
    | epred28_0
    | epred22_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_555,c_0_556]) ).

cnf(c_0_664,negated_conjecture,
    ( epred32_0
    | epred8_0
    | hskp42
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_557,c_0_558]) ).

cnf(c_0_665,negated_conjecture,
    ( epred28_0
    | epred7_0
    | hskp41
    | ~ hskp46 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_666,negated_conjecture,
    ( epred18_0
    | hskp46
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_561]),c_0_534]),c_0_533]) ).

cnf(c_0_667,negated_conjecture,
    ( epred28_0
    | hskp41
    | ~ c3_1(a610)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_562]),c_0_563]) ).

cnf(c_0_668,negated_conjecture,
    ( epred1_0
    | c3_1(a610)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_204]),c_0_564]) ).

cnf(c_0_669,negated_conjecture,
    ( epred32_0
    | ~ c2_1(a671)
    | ~ hskp62 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_374]),c_0_566]) ).

cnf(c_0_670,negated_conjecture,
    ( epred26_0
    | c2_1(a671)
    | hskp5
    | ~ hskp62 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_567]),c_0_565]) ).

cnf(c_0_671,negated_conjecture,
    ( c3_1(a612)
    | ~ hskp8 ),
    clause162 ).

cnf(c_0_672,negated_conjecture,
    ( ~ c1_1(a612)
    | ~ hskp8 ),
    clause260 ).

cnf(c_0_673,negated_conjecture,
    ( ~ c2_1(a612)
    | ~ hskp8 ),
    clause259 ).

cnf(c_0_674,negated_conjecture,
    ( ~ c3_1(a603)
    | ~ hskp3 ),
    clause271 ).

cnf(c_0_675,negated_conjecture,
    ( epred27_0
    | epred25_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_568,c_0_569]) ).

cnf(c_0_676,negated_conjecture,
    ( epred21_0
    | hskp20
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_570]),c_0_571]),c_0_572]) ).

cnf(c_0_677,negated_conjecture,
    ( epred43_0
    | ~ epred8_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_573,c_0_574]) ).

cnf(c_0_678,negated_conjecture,
    ( epred43_0
    | epred36_0
    | epred7_0
    | ~ epred39_0 ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

cnf(c_0_679,negated_conjecture,
    ( epred4_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_233]),c_0_406]),c_0_405]) ).

cnf(c_0_680,negated_conjecture,
    ( epred19_0
    | epred2_0
    | hskp45
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_577,c_0_391]) ).

cnf(c_0_681,negated_conjecture,
    ( epred18_0
    | hskp6
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_286]) ).

cnf(c_0_682,negated_conjecture,
    ( epred19_0
    | epred3_0
    | hskp45
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_577,c_0_270]) ).

cnf(c_0_683,negated_conjecture,
    ( c0_1(a601)
    | ~ hskp2 ),
    clause167 ).

cnf(c_0_684,negated_conjecture,
    ( ~ c3_1(a601)
    | ~ hskp2 ),
    clause273 ).

cnf(c_0_685,negated_conjecture,
    ( ~ c2_1(a601)
    | ~ hskp2 ),
    clause272 ).

cnf(c_0_686,negated_conjecture,
    ( epred30_0
    | epred18_0
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_509]),c_0_460]) ).

cnf(c_0_687,negated_conjecture,
    ( epred27_0
    | epred7_0
    | ~ hskp46 ),
    inference(spm,[status(thm)],[c_0_559,c_0_581]) ).

cnf(c_0_688,negated_conjecture,
    ( epred39_0
    | epred35_0
    | ~ hskp46 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_253]),c_0_254]) ).

cnf(c_0_689,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred2_0
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_582,c_0_340]) ).

cnf(c_0_690,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred2_0
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_438,c_0_341]) ).

cnf(c_0_691,negated_conjecture,
    ( epred32_0
    | epred27_0
    | epred14_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_583,c_0_584]) ).

cnf(c_0_692,negated_conjecture,
    ( epred39_0
    | epred35_0
    | epred14_0
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_585,c_0_340]) ).

cnf(c_0_693,negated_conjecture,
    ( epred39_0
    | epred35_0
    | epred14_0
    | ~ hskp66 ),
    inference(spm,[status(thm)],[c_0_585,c_0_586]) ).

cnf(c_0_694,negated_conjecture,
    ( epred22_0
    | epred17_0
    | epred9_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_587,c_0_588]) ).

cnf(c_0_695,negated_conjecture,
    ( epred9_0
    | hskp56
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_561]),c_0_534]),c_0_533]) ).

cnf(c_0_696,negated_conjecture,
    ( epred45_0
    | epred3_0
    | ~ epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_589]),c_0_590]) ).

cnf(c_0_697,negated_conjecture,
    ( c3_1(a663)
    | ~ hskp58 ),
    clause90 ).

cnf(c_0_698,negated_conjecture,
    ( ~ c1_1(a663)
    | ~ hskp58 ),
    clause182 ).

cnf(c_0_699,negated_conjecture,
    ( ~ c0_1(a663)
    | ~ hskp58 ),
    clause181 ).

cnf(c_0_700,negated_conjecture,
    ( epred35_0
    | ~ c0_1(a617)
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_411]),c_0_410]) ).

cnf(c_0_701,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a617)
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_278]),c_0_411]) ).

cnf(c_0_702,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a617)
    | ~ hskp41 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_206]),c_0_410]) ).

cnf(c_0_703,negated_conjecture,
    ( epred32_0
    | ~ c0_1(a611)
    | ~ hskp39 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_374]),c_0_592]) ).

cnf(c_0_704,negated_conjecture,
    ( epred8_0
    | c0_1(a611)
    | hskp42
    | ~ hskp39 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_593]),c_0_591]) ).

cnf(c_0_705,negated_conjecture,
    ( epred39_0
    | ~ c0_1(a652)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_295]),c_0_522]) ).

cnf(c_0_706,negated_conjecture,
    ( c3_1(a643)
    | ~ hskp24 ),
    clause144 ).

cnf(c_0_707,negated_conjecture,
    ( ~ c1_1(a643)
    | ~ hskp24 ),
    clause230 ).

cnf(c_0_708,negated_conjecture,
    ( ~ c0_1(a643)
    | ~ hskp24 ),
    clause229 ).

cnf(c_0_709,negated_conjecture,
    ( epred43_0
    | epred35_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_442]),c_0_292]),c_0_595]) ).

cnf(c_0_710,negated_conjecture,
    ( epred39_0
    | ~ c0_1(a628)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_295]),c_0_597]) ).

cnf(c_0_711,negated_conjecture,
    ( epred8_0
    | c0_1(a628)
    | hskp42
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_597]),c_0_598]) ).

cnf(c_0_712,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a624)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_206]),c_0_600]) ).

cnf(c_0_713,negated_conjecture,
    ( epred8_0
    | c0_1(a624)
    | hskp42
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_600]),c_0_599]) ).

cnf(c_0_714,negated_conjecture,
    ( epred43_0
    | epred22_0
    | epred13_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_235,c_0_601]) ).

cnf(c_0_715,negated_conjecture,
    ( epred39_0
    | epred20_0
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_336,c_0_602]) ).

cnf(c_0_716,negated_conjecture,
    ( ~ c2_1(a648)
    | ~ hskp53 ),
    clause187 ).

cnf(c_0_717,negated_conjecture,
    ( c3_1(a648)
    | ~ hskp53 ),
    clause99 ).

cnf(c_0_718,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp53 ),
    clause100 ).

cnf(c_0_719,negated_conjecture,
    ( epred15_0
    | c0_1(a628)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_510]),c_0_596]) ).

cnf(c_0_720,negated_conjecture,
    ( ~ c2_1(a615)
    | ~ hskp10 ),
    clause257 ).

cnf(c_0_721,negated_conjecture,
    ( c3_1(a615)
    | ~ hskp10 ),
    clause159 ).

cnf(c_0_722,negated_conjecture,
    ( c0_1(a615)
    | ~ hskp10 ),
    clause158 ).

cnf(c_0_723,negated_conjecture,
    ( epred32_0
    | ~ c2_1(a603)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_374]),c_0_604]) ).

cnf(c_0_724,negated_conjecture,
    ( epred13_0
    | c2_1(a603)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_279]),c_0_604]) ).

cnf(c_0_725,negated_conjecture,
    ( epred27_0
    | epred22_0
    | epred17_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_605,c_0_606]) ).

cnf(c_0_726,negated_conjecture,
    ( epred27_0
    | ~ c0_1(a618)
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_561]),c_0_533]) ).

cnf(c_0_727,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a619)
    | ~ hskp43 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_278]),c_0_608]) ).

cnf(c_0_728,negated_conjecture,
    ( epred13_0
    | c2_1(a619)
    | ~ hskp43 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_279]),c_0_608]) ).

cnf(c_0_729,negated_conjecture,
    ( ~ c1_1(a647)
    | ~ hskp52 ),
    clause189 ).

cnf(c_0_730,negated_conjecture,
    ( ~ c2_1(a647)
    | ~ hskp52 ),
    clause188 ).

cnf(c_0_731,negated_conjecture,
    ( ~ c2_1(a624)
    | ~ hskp14 ),
    clause249 ).

cnf(c_0_732,negated_conjecture,
    ( epred10_0
    | ~ c3_1(a625)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_536]),c_0_609]) ).

cnf(c_0_733,negated_conjecture,
    ( epred1_0
    | c3_1(a625)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_204]),c_0_532]) ).

cnf(c_0_734,negated_conjecture,
    ( epred4_0
    | c3_1(a625)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_233]),c_0_609]) ).

cnf(c_0_735,negated_conjecture,
    ( epred7_0
    | ~ c3_1(a662)
    | ~ hskp57 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_296]),c_0_297]) ).

cnf(c_0_736,negated_conjecture,
    ( epred3_0
    | c3_1(a662)
    | ~ hskp57 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_297]),c_0_298]) ).

cnf(c_0_737,negated_conjecture,
    ( c2_1(a606)
    | ~ hskp5 ),
    clause165 ).

cnf(c_0_738,negated_conjecture,
    ( ~ c3_1(a606)
    | ~ hskp5 ),
    clause266 ).

cnf(c_0_739,negated_conjecture,
    ( ~ c0_1(a606)
    | ~ hskp5 ),
    clause265 ).

cnf(c_0_740,negated_conjecture,
    ( ~ c1_1(a660)
    | ~ hskp29 ),
    clause217 ).

cnf(c_0_741,negated_conjecture,
    ( ~ c3_1(a660)
    | ~ hskp29 ),
    clause218 ).

cnf(c_0_742,negated_conjecture,
    ( ~ c0_1(a660)
    | ~ hskp29 ),
    clause219 ).

cnf(c_0_743,negated_conjecture,
    ( epred27_0
    | epred13_0
    | ~ hskp60 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_610]),c_0_301]) ).

cnf(c_0_744,negated_conjecture,
    ( epred27_0
    | epred13_0
    | ~ hskp33 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_610]),c_0_372]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ c3_1(a620)
    | ~ hskp12 ),
    clause254 ).

cnf(c_0_746,negated_conjecture,
    ( ~ c0_1(a620)
    | ~ hskp12 ),
    clause253 ).

cnf(c_0_747,negated_conjecture,
    ( c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    clause328 ).

cnf(c_0_748,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X3) ),
    clause327 ).

cnf(c_0_749,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    clause324 ).

cnf(c_0_750,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X3) ),
    clause325 ).

cnf(c_0_751,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause321 ).

cnf(c_0_752,negated_conjecture,
    ( c2_1(X1)
    | hskp35
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause318 ).

cnf(c_0_753,negated_conjecture,
    ( c1_1(X2)
    | hskp57
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    clause319 ).

cnf(c_0_754,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | hskp31
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    clause317 ).

cnf(c_0_755,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | hskp41
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    clause314 ).

cnf(c_0_756,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | hskp5
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause312 ).

cnf(c_0_757,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause311 ).

cnf(c_0_758,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp45
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    clause308 ).

cnf(c_0_759,negated_conjecture,
    ( epred34_0
    | epred32_0
    | epred2_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_611,c_0_215]) ).

cnf(c_0_760,negated_conjecture,
    ( epred34_0
    | epred6_0
    | epred3_0
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_612,c_0_215]) ).

cnf(c_0_761,negated_conjecture,
    ( epred43_0
    | epred33_0
    | ~ epred36_0
    | ~ epred22_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_762,negated_conjecture,
    ( epred22_0
    | epred2_0
    | epred28_0
    | epred18_0
    | hskp41
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_615,c_0_616]) ).

cnf(c_0_763,negated_conjecture,
    ( epred28_0
    | epred15_0
    | c0_1(a646)
    | c2_1(a646)
    | hskp41
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_617,c_0_618]) ).

cnf(c_0_764,negated_conjecture,
    ( epred3_0
    | epred1_0
    | epred32_0
    | epred26_0
    | hskp5
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_225,c_0_619]) ).

cnf(c_0_765,negated_conjecture,
    ( epred42_0
    | c0_1(a673)
    | epred28_0
    | hskp41
    | ~ c3_1(a673)
    | ~ hskp64 ),
    inference(spm,[status(thm)],[c_0_620,c_0_343]) ).

cnf(c_0_766,negated_conjecture,
    ( epred28_0
    | c2_1(a672)
    | hskp41
    | epred26_0
    | hskp5
    | ~ c3_1(a672)
    | ~ hskp63 ),
    inference(spm,[status(thm)],[c_0_311,c_0_621]) ).

cnf(c_0_767,negated_conjecture,
    ( epred39_0
    | epred21_0
    | epred13_0
    | epred2_0
    | hskp33
    | hskp61 ),
    inference(spm,[status(thm)],[c_0_622,c_0_418]) ).

cnf(c_0_768,negated_conjecture,
    ( epred43_0
    | epred7_0
    | epred30_0
    | epred18_0
    | epred5_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_623]) ).

cnf(c_0_769,negated_conjecture,
    ( epred22_0
    | epred14_0
    | c0_1(a623)
    | hskp38
    | ~ c3_1(a623)
    | ~ hskp45 ),
    inference(spm,[status(thm)],[c_0_624,c_0_625]) ).

cnf(c_0_770,negated_conjecture,
    ( epred31_0
    | c0_1(a665)
    | hskp31
    | epred8_0
    | hskp42
    | ~ c2_1(a665)
    | ~ hskp59 ),
    inference(spm,[status(thm)],[c_0_626,c_0_627]) ).

cnf(c_0_771,negated_conjecture,
    ( epred7_0
    | epred8_0
    | hskp42
    | ~ c2_1(a665)
    | ~ c3_1(a665)
    | ~ hskp59 ),
    inference(spm,[status(thm)],[c_0_314,c_0_627]) ).

cnf(c_0_772,negated_conjecture,
    ( epred5_0
    | c0_1(a665)
    | epred8_0
    | hskp42
    | ~ c2_1(a665)
    | ~ hskp59 ),
    inference(spm,[status(thm)],[c_0_230,c_0_627]) ).

cnf(c_0_773,negated_conjecture,
    ( epred33_0
    | c1_1(a617)
    | hskp57
    | epred8_0
    | hskp42
    | ~ c3_1(a617)
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_299,c_0_558]) ).

cnf(c_0_774,negated_conjecture,
    ( c2_1(a652)
    | hskp41
    | hskp58
    | epred8_0
    | hskp42
    | ~ c3_1(a652)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_628,c_0_629]) ).

cnf(c_0_775,negated_conjecture,
    ( epred7_0
    | epred8_0
    | hskp42
    | ~ c2_1(a642)
    | ~ c3_1(a642)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_314,c_0_630]) ).

cnf(c_0_776,negated_conjecture,
    ( epred27_0
    | epred17_0
    | epred7_0
    | ~ c0_1(a658)
    | ~ hskp56 ),
    inference(spm,[status(thm)],[c_0_631,c_0_334]) ).

cnf(c_0_777,negated_conjecture,
    ( epred27_0
    | epred17_0
    | epred7_0
    | ~ c0_1(a599)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_631,c_0_371]) ).

cnf(c_0_778,negated_conjecture,
    ( epred27_0
    | epred4_0
    | c3_1(a666)
    | ~ hskp30
    | ~ c0_1(a666) ),
    inference(spm,[status(thm)],[c_0_572,c_0_632]) ).

cnf(c_0_779,negated_conjecture,
    ( epred22_0
    | epred5_0
    | c0_1(a665)
    | ~ c3_1(a665)
    | ~ hskp59 ),
    inference(spm,[status(thm)],[c_0_633,c_0_634]) ).

cnf(c_0_780,negated_conjecture,
    ( epred22_0
    | epred11_0
    | epred1_0
    | c0_1(a670)
    | hskp55
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_415,c_0_635]) ).

cnf(c_0_781,negated_conjecture,
    ( epred22_0
    | epred9_0
    | epred4_0
    | c3_1(a618)
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_533,c_0_636]) ).

cnf(c_0_782,negated_conjecture,
    ( epred8_0
    | c0_1(a670)
    | c1_1(a670)
    | hskp42
    | epred3_0
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_471,c_0_446]) ).

cnf(c_0_783,negated_conjecture,
    ( c0_1(a670)
    | c1_1(a670)
    | hskp17
    | hskp53
    | epred2_0
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_637,c_0_440]) ).

cnf(c_0_784,negated_conjecture,
    ( c2_1(a635)
    | c1_1(a635)
    | hskp26
    | hskp55
    | epred2_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_638,c_0_458]) ).

cnf(c_0_785,negated_conjecture,
    ( epred8_0
    | c0_1(a625)
    | c1_1(a625)
    | hskp42
    | epred2_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_471,c_0_639]) ).

cnf(c_0_786,negated_conjecture,
    ( epred21_0
    | c2_1(a618)
    | c3_1(a618)
    | hskp20
    | epred1_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_407,c_0_640]) ).

cnf(c_0_787,negated_conjecture,
    ( epred10_0
    | c2_1(a667)
    | hskp12
    | hskp43
    | epred1_0
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_641,c_0_642]) ).

cnf(c_0_788,negated_conjecture,
    ( epred13_0
    | c2_1(a666)
    | hskp7
    | hskp39
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_643,c_0_570]) ).

cnf(c_0_789,negated_conjecture,
    ( c2_1(a635)
    | c1_1(a635)
    | hskp26
    | hskp55
    | epred1_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_638,c_0_644]) ).

cnf(c_0_790,negated_conjecture,
    ( epred28_0
    | epred10_0
    | c2_1(a672)
    | hskp41
    | ~ hskp63 ),
    inference(spm,[status(thm)],[c_0_645,c_0_513]) ).

cnf(c_0_791,negated_conjecture,
    ( epred28_0
    | epred10_0
    | c2_1(a646)
    | hskp41
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_645,c_0_618]) ).

cnf(c_0_792,negated_conjecture,
    ( c2_1(a635)
    | c3_1(a635)
    | hskp62
    | hskp63
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_404,c_0_646]) ).

cnf(c_0_793,negated_conjecture,
    ( c2_1(a635)
    | c3_1(a635)
    | hskp8
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_404,c_0_647]) ).

cnf(c_0_794,negated_conjecture,
    ( c2_1(a647)
    | c1_1(a647)
    | hskp26
    | hskp55
    | ~ hskp52 ),
    inference(spm,[status(thm)],[c_0_638,c_0_648]) ).

cnf(c_0_795,negated_conjecture,
    ( c2_1(a635)
    | c1_1(a635)
    | hskp26
    | hskp55
    | epred3_0
    | epred1_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_638,c_0_649]) ).

cnf(c_0_796,negated_conjecture,
    ( c0_1(a658)
    | c1_1(a658)
    | hskp17
    | hskp53
    | ~ hskp56 ),
    inference(spm,[status(thm)],[c_0_637,c_0_334]) ).

cnf(c_0_797,negated_conjecture,
    ( c0_1(a617)
    | c1_1(a617)
    | hskp17
    | hskp53
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_637,c_0_410]) ).

cnf(c_0_798,negated_conjecture,
    ( c2_1(a669)
    | c3_1(a669)
    | hskp25
    | hskp52
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_650,c_0_301]) ).

cnf(c_0_799,negated_conjecture,
    ( c2_1(a666)
    | c3_1(a666)
    | hskp25
    | hskp52
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_650,c_0_570]) ).

cnf(c_0_800,negated_conjecture,
    ( c2_1(a618)
    | c3_1(a618)
    | hskp10
    | hskp40
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_651,c_0_561]) ).

cnf(c_0_801,negated_conjecture,
    ( c0_1(a628)
    | c2_1(a628)
    | hskp3
    | hskp29
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_652,c_0_597]) ).

cnf(c_0_802,negated_conjecture,
    ( c2_1(a599)
    | hskp41
    | hskp58
    | ~ c3_1(a599)
    | ~ hskp33 ),
    inference(spm,[status(thm)],[c_0_628,c_0_372]) ).

cnf(c_0_803,negated_conjecture,
    ( c2_1(a669)
    | hskp7
    | hskp39
    | ~ c0_1(a669)
    | ~ hskp60 ),
    inference(spm,[status(thm)],[c_0_539,c_0_303]) ).

cnf(c_0_804,negated_conjecture,
    ( c2_1(a618)
    | hskp7
    | hskp39
    | ~ c0_1(a618)
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_539,c_0_561]) ).

cnf(c_0_805,negated_conjecture,
    ( c1_1(a617)
    | hskp23
    | hskp24
    | ~ c3_1(a617)
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_653,c_0_411]) ).

cnf(c_0_806,negated_conjecture,
    ( c1_1(a674)
    | hskp14
    | hskp15
    | ~ c2_1(a674)
    | ~ hskp65 ),
    inference(spm,[status(thm)],[c_0_654,c_0_376]) ).

cnf(c_0_807,negated_conjecture,
    ( hskp5
    | hskp37
    | ~ c0_1(a617)
    | ~ c3_1(a617)
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_655,c_0_411]) ).

cnf(c_0_808,negated_conjecture,
    ( hskp5
    | hskp37
    | ~ c0_1(a614)
    | ~ c3_1(a614)
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_655,c_0_248]) ).

cnf(c_0_809,negated_conjecture,
    ( epred44_0
    | c3_1(a614)
    | ~ c0_1(a614)
    | ~ hskp40 ),
    inference(spm,[status(thm)],[c_0_656,c_0_248]) ).

cnf(c_0_810,negated_conjecture,
    ( epred44_0
    | c3_1(a600)
    | ~ c0_1(a600)
    | ~ hskp34 ),
    inference(spm,[status(thm)],[c_0_656,c_0_657]) ).

cnf(c_0_811,negated_conjecture,
    ( epred44_0
    | c3_1(a613)
    | ~ c0_1(a613)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_656,c_0_223]) ).

cnf(c_0_812,negated_conjecture,
    ( epred42_0
    | c0_1(a670)
    | ~ c3_1(a670)
    | ~ hskp61 ),
    inference(spm,[status(thm)],[c_0_620,c_0_365]) ).

cnf(c_0_813,negated_conjecture,
    ( epred42_0
    | c0_1(a665)
    | ~ c3_1(a665)
    | ~ hskp59 ),
    inference(spm,[status(thm)],[c_0_620,c_0_634]) ).

cnf(c_0_814,negated_conjecture,
    ( epred42_0
    | c0_1(a658)
    | ~ c3_1(a658)
    | ~ hskp56 ),
    inference(spm,[status(thm)],[c_0_620,c_0_335]) ).

cnf(c_0_815,negated_conjecture,
    ( epred42_0
    | c0_1(a623)
    | ~ c3_1(a623)
    | ~ hskp45 ),
    inference(spm,[status(thm)],[c_0_620,c_0_625]) ).

cnf(c_0_816,negated_conjecture,
    ( epred42_0
    | c0_1(a617)
    | ~ c3_1(a617)
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_620,c_0_411]) ).

cnf(c_0_817,negated_conjecture,
    ( epred38_0
    | c0_1(a617)
    | ~ hskp41
    | ~ c3_1(a617) ),
    inference(spm,[status(thm)],[c_0_409,c_0_658]) ).

cnf(c_0_818,negated_conjecture,
    ( epred39_0
    | epred28_0
    | epred22_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_660]),c_0_661]) ).

cnf(c_0_819,negated_conjecture,
    ( epred32_0
    | epred28_0
    | epred22_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_662,c_0_663]) ).

cnf(c_0_820,negated_conjecture,
    ( epred32_0
    | epred28_0
    | epred8_0
    | hskp42
    | ~ hskp55 ),
    inference(spm,[status(thm)],[c_0_664,c_0_465]) ).

cnf(c_0_821,negated_conjecture,
    ( epred28_0
    | epred18_0
    | epred7_0
    | hskp41
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_665,c_0_666]) ).

cnf(c_0_822,negated_conjecture,
    ( epred28_0
    | epred1_0
    | hskp41
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_667,c_0_668]) ).

cnf(c_0_823,negated_conjecture,
    ( epred32_0
    | epred26_0
    | hskp5
    | ~ hskp62 ),
    inference(spm,[status(thm)],[c_0_669,c_0_670]) ).

cnf(c_0_824,negated_conjecture,
    ( epred26_0
    | hskp5
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_522]),c_0_523]),c_0_594]) ).

cnf(c_0_825,negated_conjecture,
    ( epred26_0
    | hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_597]),c_0_598]),c_0_596]) ).

cnf(c_0_826,negated_conjecture,
    ( epred26_0
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_671]),c_0_672]),c_0_673]) ).

cnf(c_0_827,negated_conjecture,
    ( epred25_0
    | c2_1(a603)
    | hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_475]),c_0_674]) ).

cnf(c_0_828,negated_conjecture,
    ( epred27_0
    | epred25_0
    | epred21_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_675,c_0_676]) ).

cnf(c_0_829,negated_conjecture,
    ( epred43_0
    | epred36_0
    | ~ epred39_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_677,c_0_678]) ).

cnf(c_0_830,negated_conjecture,
    ( epred21_0
    | epred13_0
    | epred2_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_515,c_0_676]) ).

cnf(c_0_831,negated_conjecture,
    ( epred21_0
    | epred4_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_679,c_0_676]) ).

cnf(c_0_832,negated_conjecture,
    ( epred19_0
    | epred18_0
    | epred2_0
    | hskp45
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_833,negated_conjecture,
    ( epred19_0
    | epred18_0
    | epred3_0
    | hskp45
    | ~ hskp37 ),
    inference(spm,[status(thm)],[c_0_682,c_0_681]) ).

cnf(c_0_834,negated_conjecture,
    ( epred21_0
    | hskp20
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_683]),c_0_684]),c_0_685]) ).

cnf(c_0_835,negated_conjecture,
    ( epred19_0
    | hskp45
    | ~ hskp59 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_634]),c_0_519]),c_0_520]) ).

cnf(c_0_836,negated_conjecture,
    ( epred30_0
    | epred18_0
    | hskp33
    | hskp61 ),
    inference(spm,[status(thm)],[c_0_686,c_0_418]) ).

cnf(c_0_837,negated_conjecture,
    ( epred22_0
    | epred18_0
    | epred2_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_615,c_0_666]) ).

cnf(c_0_838,negated_conjecture,
    ( epred27_0
    | epred18_0
    | epred7_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_687,c_0_666]) ).

cnf(c_0_839,negated_conjecture,
    ( epred39_0
    | epred35_0
    | epred18_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_688,c_0_666]) ).

cnf(c_0_840,negated_conjecture,
    ( epred22_0
    | epred14_0
    | epred2_0
    | hskp65 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_378]),c_0_690]) ).

cnf(c_0_841,negated_conjecture,
    ( epred32_0
    | epred27_0
    | ~ epred25_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_662,c_0_691]) ).

cnf(c_0_842,negated_conjecture,
    ( epred39_0
    | epred35_0
    | epred14_0
    | hskp65 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_378]),c_0_693]) ).

cnf(c_0_843,negated_conjecture,
    ( epred22_0
    | epred17_0
    | epred9_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_694]) ).

cnf(c_0_844,negated_conjecture,
    ( epred22_0
    | epred9_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_368,c_0_695]) ).

cnf(c_0_845,negated_conjecture,
    ( epred45_0
    | ~ epred39_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_696]) ).

cnf(c_0_846,negated_conjecture,
    ( epred8_0
    | hskp42
    | ~ hskp58 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_697]),c_0_698]),c_0_699]) ).

cnf(c_0_847,negated_conjecture,
    ( epred35_0
    | epred8_0
    | hskp42
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_700,c_0_558]) ).

cnf(c_0_848,negated_conjecture,
    ( epred8_0
    | epred6_0
    | hskp42
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_701,c_0_558]) ).

cnf(c_0_849,negated_conjecture,
    ( epred17_0
    | epred8_0
    | hskp42
    | ~ hskp41 ),
    inference(spm,[status(thm)],[c_0_702,c_0_558]) ).

cnf(c_0_850,negated_conjecture,
    ( epred32_0
    | epred8_0
    | hskp42
    | ~ hskp39 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_851,negated_conjecture,
    ( epred39_0
    | epred8_0
    | hskp42
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_705,c_0_629]) ).

cnf(c_0_852,negated_conjecture,
    ( epred8_0
    | hskp42
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_706]),c_0_707]),c_0_708]) ).

cnf(c_0_853,negated_conjecture,
    ( epred43_0
    | epred35_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_709]) ).

cnf(c_0_854,negated_conjecture,
    ( epred39_0
    | epred8_0
    | hskp42
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_710,c_0_711]) ).

cnf(c_0_855,negated_conjecture,
    ( epred17_0
    | epred8_0
    | hskp42
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_712,c_0_713]) ).

cnf(c_0_856,negated_conjecture,
    ( epred43_0
    | epred22_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_714]),c_0_479]) ).

cnf(c_0_857,negated_conjecture,
    ( epred43_0
    | epred17_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_264]) ).

cnf(c_0_858,negated_conjecture,
    ( epred39_0
    | epred20_0
    | hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_418]),c_0_419]) ).

cnf(c_0_859,negated_conjecture,
    ( epred39_0
    | ~ hskp53 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_295]),c_0_717]),c_0_718]) ).

cnf(c_0_860,negated_conjecture,
    ( epred39_0
    | epred15_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_710,c_0_719]) ).

cnf(c_0_861,negated_conjecture,
    ( epred39_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_295]),c_0_721]),c_0_722]) ).

cnf(c_0_862,negated_conjecture,
    ( epred32_0
    | ~ c0_1(a658)
    | ~ hskp56 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_374]),c_0_335]) ).

cnf(c_0_863,negated_conjecture,
    ( epred32_0
    | epred13_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_723,c_0_724]) ).

cnf(c_0_864,negated_conjecture,
    ( epred27_0
    | epred22_0
    | epred17_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_725]) ).

cnf(c_0_865,negated_conjecture,
    ( epred27_0
    | epred1_0
    | ~ hskp42 ),
    inference(spm,[status(thm)],[c_0_726,c_0_640]) ).

cnf(c_0_866,negated_conjecture,
    ( epred27_0
    | ~ hskp37 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_484]),c_0_485]),c_0_486]) ).

cnf(c_0_867,negated_conjecture,
    ( epred6_0
    | ~ hskp65 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_278]),c_0_375]),c_0_376]) ).

cnf(c_0_868,negated_conjecture,
    ( epred13_0
    | epred6_0
    | ~ hskp43 ),
    inference(spm,[status(thm)],[c_0_727,c_0_728]) ).

cnf(c_0_869,negated_conjecture,
    ( epred22_0
    | ~ hskp39 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_239]),c_0_593]),c_0_592]) ).

cnf(c_0_870,negated_conjecture,
    ( epred20_0
    | ~ hskp42 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_561]),c_0_534]),c_0_533]) ).

cnf(c_0_871,negated_conjecture,
    ( epred13_0
    | ~ hskp52 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_279]),c_0_648]),c_0_730]) ).

cnf(c_0_872,negated_conjecture,
    ( epred13_0
    | epred1_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_457,c_0_644]) ).

cnf(c_0_873,negated_conjecture,
    ( epred10_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_536]),c_0_522]),c_0_594]) ).

cnf(c_0_874,negated_conjecture,
    ( epred10_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_536]),c_0_597]),c_0_596]) ).

cnf(c_0_875,negated_conjecture,
    ( epred10_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_536]),c_0_600]),c_0_731]) ).

cnf(c_0_876,negated_conjecture,
    ( epred10_0
    | epred1_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_732,c_0_733]) ).

cnf(c_0_877,negated_conjecture,
    ( epred10_0
    | epred2_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_732,c_0_639]) ).

cnf(c_0_878,negated_conjecture,
    ( epred10_0
    | epred4_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_732,c_0_734]) ).

cnf(c_0_879,negated_conjecture,
    ( epred7_0
    | epred3_0
    | ~ hskp57 ),
    inference(spm,[status(thm)],[c_0_735,c_0_736]) ).

cnf(c_0_880,negated_conjecture,
    ( epred3_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_737]),c_0_738]),c_0_739]) ).

cnf(c_0_881,negated_conjecture,
    ( epred2_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_740,c_0_217]),c_0_741]),c_0_742]) ).

cnf(c_0_882,negated_conjecture,
    ( epred39_0
    | epred35_0
    | ~ hskp62 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_567]),c_0_566]) ).

cnf(c_0_883,negated_conjecture,
    ( epred27_0
    | epred13_0
    | hskp61 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_418]),c_0_744]) ).

cnf(c_0_884,negated_conjecture,
    ( epred27_0
    | epred13_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_610]),c_0_570]) ).

cnf(c_0_885,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_212]),c_0_742]) ).

cnf(c_0_886,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_212]),c_0_746]) ).

cnf(c_0_887,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_747,c_0_548]),c_0_328]),c_0_265]) ).

cnf(c_0_888,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_748,c_0_512]),c_0_266]),c_0_210]) ).

cnf(c_0_889,negated_conjecture,
    ( ~ epred42_0
    | ~ epred32_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_749,c_0_512]),c_0_244]),c_0_338]) ).

cnf(c_0_890,negated_conjecture,
    ( ~ epred42_0
    | ~ epred32_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_750,c_0_512]),c_0_462]),c_0_338]) ).

cnf(c_0_891,negated_conjecture,
    ( ~ epred38_0
    | ~ epred22_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_751,c_0_549]),c_0_209]),c_0_228]) ).

cnf(c_0_892,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_752,c_0_359]),c_0_265]) ).

cnf(c_0_893,negated_conjecture,
    ( ~ epred33_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_753,c_0_267]),c_0_363]) ).

cnf(c_0_894,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_754,c_0_518]),c_0_338]) ).

cnf(c_0_895,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_755,c_0_277]),c_0_293]) ).

cnf(c_0_896,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_756,c_0_361]),c_0_293]) ).

cnf(c_0_897,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_757,c_0_362]),c_0_228]) ).

cnf(c_0_898,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_758,c_0_434]),c_0_445]) ).

cnf(c_0_899,negated_conjecture,
    ( ~ c0_1(a646)
    | ~ hskp25 ),
    clause228 ).

cnf(c_0_900,negated_conjecture,
    ( ~ c2_1(a646)
    | ~ hskp25 ),
    clause227 ).

cnf(c_0_901,negated_conjecture,
    ( ~ c3_1(a600)
    | ~ hskp34 ),
    clause209 ).

cnf(c_0_902,negated_conjecture,
    ( ~ c0_1(a623)
    | ~ hskp45 ),
    clause197 ).

cnf(c_0_903,negated_conjecture,
    ( c0_1(a600)
    | ~ hskp34 ),
    clause135 ).

cnf(c_0_904,negated_conjecture,
    ( c2_1(a642)
    | ~ hskp23 ),
    clause145 ).

cnf(c_0_905,negated_conjecture,
    ( c3_1(a623)
    | ~ hskp45 ),
    clause113 ).

cnf(c_0_906,negated_conjecture,
    ( hskp33
    | hskp34
    | hskp2 ),
    clause69 ).

cnf(c_0_907,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_765,c_0_766,c_0_767,c_0_768,c_0_769,c_0_770,c_0_771,c_0_772,c_0_773,c_0_774,c_0_775,c_0_776,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_782,c_0_783,c_0_784,c_0_785,c_0_786,c_0_787,c_0_788,c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_797,c_0_798,c_0_799,c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_810,c_0_811,c_0_812,c_0_813,c_0_814,c_0_815,c_0_816,c_0_817,c_0_818,c_0_819,c_0_423,c_0_820,c_0_821,c_0_381,c_0_508,c_0_551,c_0_465,c_0_822,c_0_823,c_0_824,c_0_825,c_0_826,c_0_622,c_0_827,c_0_828,c_0_516,c_0_829,c_0_459,c_0_830,c_0_831,c_0_676,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_422,c_0_841,c_0_842,c_0_843,c_0_337,c_0_844,c_0_695,c_0_582,c_0_845,c_0_589,c_0_493,c_0_846,c_0_847,c_0_664,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_677,c_0_856,c_0_857,c_0_264,c_0_235,c_0_858,c_0_336,c_0_859,c_0_419,c_0_860,c_0_710,c_0_861,c_0_700,c_0_421,c_0_862,c_0_557,c_0_863,c_0_723,c_0_864,c_0_725,c_0_501,c_0_865,c_0_866,c_0_568,c_0_867,c_0_868,c_0_492,c_0_464,c_0_869,c_0_438,c_0_870,c_0_702,c_0_871,c_0_872,c_0_515,c_0_873,c_0_874,c_0_875,c_0_876,c_0_877,c_0_878,c_0_879,c_0_394,c_0_880,c_0_679,c_0_440,c_0_881,c_0_227,c_0_640,c_0_490,c_0_882,c_0_883,c_0_884,c_0_347,c_0_885,c_0_225,c_0_886,c_0_887,c_0_888,c_0_613,c_0_889,c_0_890,c_0_429,c_0_891,c_0_892,c_0_893,c_0_894,c_0_895,c_0_896,c_0_583,c_0_897,c_0_898,c_0_350,c_0_662,c_0_479,c_0_661,c_0_659,c_0_477,c_0_573,c_0_468,c_0_291,c_0_262,c_0_224,c_0_532,c_0_531,c_0_596,c_0_405,c_0_406,c_0_404,c_0_899,c_0_900,c_0_594,c_0_537,c_0_370,c_0_901,c_0_409,c_0_533,c_0_534,c_0_902,c_0_730,c_0_729,c_0_333,c_0_300,c_0_367,c_0_364,c_0_514,c_0_308,c_0_373,c_0_572,c_0_571,c_0_520,c_0_570,c_0_372,c_0_903,c_0_247,c_0_301,c_0_904,c_0_634,c_0_375,c_0_524,c_0_522,c_0_371,c_0_410,c_0_905,c_0_334,c_0_519,c_0_513,c_0_307,c_0_906,c_0_418,c_0_378,c_0_197]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN440-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 16:54:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 1.58/1.69  % Version  : CSE_E---1.5
% 1.58/1.69  % Problem  : theBenchmark.p
% 1.58/1.69  % Proof found
% 1.58/1.69  % SZS status Theorem for theBenchmark.p
% 1.58/1.69  % SZS output start Proof
% See solution above
% 1.69/1.72  % Total time : 1.103000 s
% 1.69/1.72  % SZS output end Proof
% 1.69/1.72  % Total time : 1.110000 s
%------------------------------------------------------------------------------