TSTP Solution File: SYN478-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN478-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:52:17 EDT 2023

% Result   : Unsatisfiable 1.18s 1.32s
% Output   : CNFRefutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  256
% Syntax   : Number of formulae    :  537 (   2 unt; 123 typ;   0 def)
%            Number of atoms       : 1504 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1799 ( 709   ~;1058   |;   0   &)
%                                         (  32 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   93 (  92 usr;  89 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  175 (   0 sgn;  32   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp26: $o ).

tff(decl_23,type,
    hskp12: $o ).

tff(decl_24,type,
    hskp20: $o ).

tff(decl_25,type,
    hskp18: $o ).

tff(decl_26,type,
    hskp30: $o ).

tff(decl_27,type,
    ndr1_0: $o ).

tff(decl_28,type,
    hskp29: $o ).

tff(decl_29,type,
    hskp28: $o ).

tff(decl_30,type,
    hskp27: $o ).

tff(decl_31,type,
    hskp25: $o ).

tff(decl_32,type,
    hskp24: $o ).

tff(decl_33,type,
    hskp23: $o ).

tff(decl_34,type,
    hskp22: $o ).

tff(decl_35,type,
    hskp21: $o ).

tff(decl_36,type,
    hskp19: $o ).

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

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

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

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

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

tff(decl_42,type,
    hskp11: $o ).

tff(decl_43,type,
    hskp10: $o ).

tff(decl_44,type,
    hskp9: $o ).

tff(decl_45,type,
    hskp8: $o ).

tff(decl_46,type,
    hskp7: $o ).

tff(decl_47,type,
    hskp6: $o ).

tff(decl_48,type,
    hskp5: $o ).

tff(decl_49,type,
    hskp4: $o ).

tff(decl_50,type,
    hskp3: $o ).

tff(decl_51,type,
    hskp2: $o ).

tff(decl_52,type,
    hskp1: $o ).

tff(decl_53,type,
    hskp0: $o ).

tff(decl_54,type,
    a1372: $i ).

tff(decl_55,type,
    c0_1: $i > $o ).

tff(decl_56,type,
    c1_1: $i > $o ).

tff(decl_57,type,
    c3_1: $i > $o ).

tff(decl_58,type,
    a1338: $i ).

tff(decl_59,type,
    c2_1: $i > $o ).

tff(decl_60,type,
    a1328: $i ).

tff(decl_61,type,
    a1307: $i ).

tff(decl_62,type,
    a1411: $i ).

tff(decl_63,type,
    a1394: $i ).

tff(decl_64,type,
    a1370: $i ).

tff(decl_65,type,
    a1356: $i ).

tff(decl_66,type,
    a1352: $i ).

tff(decl_67,type,
    a1348: $i ).

tff(decl_68,type,
    a1344: $i ).

tff(decl_69,type,
    a1339: $i ).

tff(decl_70,type,
    a1334: $i ).

tff(decl_71,type,
    a1333: $i ).

tff(decl_72,type,
    a1331: $i ).

tff(decl_73,type,
    a1330: $i ).

tff(decl_74,type,
    a1325: $i ).

tff(decl_75,type,
    a1324: $i ).

tff(decl_76,type,
    a1321: $i ).

tff(decl_77,type,
    a1320: $i ).

tff(decl_78,type,
    a1319: $i ).

tff(decl_79,type,
    a1315: $i ).

tff(decl_80,type,
    a1314: $i ).

tff(decl_81,type,
    a1312: $i ).

tff(decl_82,type,
    a1311: $i ).

tff(decl_83,type,
    a1309: $i ).

tff(decl_84,type,
    a1308: $i ).

tff(decl_85,type,
    a1359: $i ).

tff(decl_86,type,
    a1326: $i ).

tff(decl_87,type,
    a1316: $i ).

tff(decl_88,type,
    a1306: $i ).

tff(decl_89,type,
    epred1_0: $o ).

tff(decl_90,type,
    epred2_0: $o ).

tff(decl_91,type,
    epred3_0: $o ).

tff(decl_92,type,
    epred4_0: $o ).

tff(decl_93,type,
    epred5_0: $o ).

tff(decl_94,type,
    epred6_0: $o ).

tff(decl_95,type,
    epred7_0: $o ).

tff(decl_96,type,
    epred8_0: $o ).

tff(decl_97,type,
    epred9_0: $o ).

tff(decl_98,type,
    epred10_0: $o ).

tff(decl_99,type,
    epred11_0: $o ).

tff(decl_100,type,
    epred12_0: $o ).

tff(decl_101,type,
    epred13_0: $o ).

tff(decl_102,type,
    epred14_0: $o ).

tff(decl_103,type,
    epred15_0: $o ).

tff(decl_104,type,
    epred16_0: $o ).

tff(decl_105,type,
    epred17_0: $o ).

tff(decl_106,type,
    epred18_0: $o ).

tff(decl_107,type,
    epred19_0: $o ).

tff(decl_108,type,
    epred20_0: $o ).

tff(decl_109,type,
    epred21_0: $o ).

tff(decl_110,type,
    epred22_0: $o ).

tff(decl_111,type,
    epred23_0: $o ).

tff(decl_112,type,
    epred24_0: $o ).

tff(decl_113,type,
    epred25_0: $o ).

tff(decl_114,type,
    epred26_0: $o ).

tff(decl_115,type,
    epred27_0: $o ).

tff(decl_116,type,
    epred28_0: $o ).

tff(decl_117,type,
    epred29_0: $o ).

tff(decl_118,type,
    epred30_0: $o ).

tff(decl_119,type,
    epred31_0: $o ).

tff(decl_120,type,
    epred32_0: $o ).

tff(decl_121,type,
    epred33_0: $o ).

tff(decl_122,type,
    epred34_0: $o ).

tff(decl_123,type,
    epred35_0: $o ).

tff(decl_124,type,
    epred36_0: $o ).

tff(decl_125,type,
    epred37_0: $o ).

tff(decl_126,type,
    epred38_0: $o ).

tff(decl_127,type,
    epred39_0: $o ).

tff(decl_128,type,
    epred40_0: $o ).

tff(decl_129,type,
    epred41_0: $o ).

tff(decl_130,type,
    epred42_0: $o ).

tff(decl_131,type,
    epred43_0: $o ).

tff(decl_132,type,
    epred44_0: $o ).

tff(decl_133,type,
    epred45_0: $o ).

tff(decl_134,type,
    epred46_0: $o ).

tff(decl_135,type,
    epred47_0: $o ).

tff(decl_136,type,
    epred48_0: $o ).

tff(decl_137,type,
    epred49_0: $o ).

tff(decl_138,type,
    epred50_0: $o ).

tff(decl_139,type,
    epred51_0: $o ).

tff(decl_140,type,
    epred52_0: $o ).

tff(decl_141,type,
    epred53_0: $o ).

tff(decl_142,type,
    epred54_0: $o ).

tff(decl_143,type,
    epred55_0: $o ).

tff(decl_144,type,
    epred56_0: $o ).

cnf(clause7,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

cnf(clause1,negated_conjecture,
    ( hskp26
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause21,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

cnf(clause166,negated_conjecture,
    ( hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(clause154,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp14
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(clause114,negated_conjecture,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause116,negated_conjecture,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause115,negated_conjecture,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause118,negated_conjecture,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause79,negated_conjecture,
    ( c0_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause80,negated_conjecture,
    ( c3_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause70,negated_conjecture,
    ( c1_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause106,negated_conjecture,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause143,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp28
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(clause50,negated_conjecture,
    ( c1_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause51,negated_conjecture,
    ( c2_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause133,negated_conjecture,
    ( ~ c1_1(a1311)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause88,negated_conjecture,
    ( c0_1(a1311)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause77,negated_conjecture,
    ( c1_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause78,negated_conjecture,
    ( c3_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause117,negated_conjecture,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause66,negated_conjecture,
    ( c1_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause104,negated_conjecture,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause94,negated_conjecture,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause93,negated_conjecture,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause67,negated_conjecture,
    ( c2_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause2,negated_conjecture,
    ( hskp20
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause112,negated_conjecture,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause76,negated_conjecture,
    ( c0_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause131,negated_conjecture,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(clause87,negated_conjecture,
    ( c0_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause132,negated_conjecture,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(clause91,negated_conjecture,
    ( c3_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause134,negated_conjecture,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(clause90,negated_conjecture,
    ( c1_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause54,negated_conjecture,
    ( c2_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause53,negated_conjecture,
    ( c0_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(clause43,negated_conjecture,
    ( hskp26
    | hskp29
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause171,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | hskp11
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

cnf(clause113,negated_conjecture,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause126,negated_conjecture,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause125,negated_conjecture,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause39,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause148,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp8
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(clause59,negated_conjecture,
    ( c0_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause151,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp1
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(clause100,negated_conjecture,
    ( ~ c3_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause98,negated_conjecture,
    ( ~ c0_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause147,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp29
    | hskp18
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(clause163,negated_conjecture,
    ( c3_1(X1)
    | hskp30
    | hskp18
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause155,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause57,negated_conjecture,
    ( c1_1(a1307)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a1307)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(clause58,negated_conjecture,
    ( c2_1(a1307)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause74,negated_conjecture,
    ( c1_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause75,negated_conjecture,
    ( c2_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause85,negated_conjecture,
    ( c3_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause127,negated_conjecture,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause128,negated_conjecture,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(clause52,negated_conjecture,
    ( c3_1(a1338)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause55,negated_conjecture,
    ( c3_1(a1328)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause123,negated_conjecture,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause73,negated_conjecture,
    ( c1_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause82,negated_conjecture,
    ( c3_1(a1321)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause81,negated_conjecture,
    ( c0_1(a1321)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause119,negated_conjecture,
    ( ~ c2_1(a1321)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause84,negated_conjecture,
    ( c2_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause122,negated_conjecture,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause124,negated_conjecture,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause135,negated_conjecture,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause92,negated_conjecture,
    ( c3_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(clause136,negated_conjecture,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause48,negated_conjecture,
    ( c1_1(a1372)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause47,negated_conjecture,
    ( c0_1(a1372)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause49,negated_conjecture,
    ( c3_1(a1372)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause34,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause72,negated_conjecture,
    ( c3_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause71,negated_conjecture,
    ( c2_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause108,negated_conjecture,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause200,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

cnf(clause197,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

cnf(clause198,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

cnf(clause196,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

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

cnf(clause187,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

cnf(clause183,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(clause184,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

cnf(clause179,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(clause178,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(clause182,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(clause181,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(clause173,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(clause174,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(clause176,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(clause177,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(clause109,negated_conjecture,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause110,negated_conjecture,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause99,negated_conjecture,
    ( ~ c1_1(a1359)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause44,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(c_0_101,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    clause7 ).

cnf(c_0_102,negated_conjecture,
    ( hskp26
    | hskp12 ),
    clause1 ).

cnf(c_0_103,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    clause21 ).

fof(c_0_104,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_105,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_106,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( hskp11
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_107,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause166 ).

fof(c_0_109,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_110,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp14
    | hskp13
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause154 ).

cnf(c_0_111,negated_conjecture,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    clause114 ).

cnf(c_0_112,negated_conjecture,
    ( epred2_0
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_104]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    clause116 ).

cnf(c_0_114,negated_conjecture,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    clause115 ).

cnf(c_0_115,negated_conjecture,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    clause118 ).

cnf(c_0_116,negated_conjecture,
    ( epred20_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    ( c0_1(a1324)
    | ~ hskp11 ),
    clause79 ).

cnf(c_0_118,negated_conjecture,
    ( c3_1(a1324)
    | ~ hskp11 ),
    clause80 ).

cnf(c_0_119,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp11
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_106]),c_0_107])]) ).

cnf(c_0_120,negated_conjecture,
    ( c1_1(a1339)
    | ~ hskp18 ),
    clause70 ).

cnf(c_0_121,negated_conjecture,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    clause106 ).

cnf(c_0_122,negated_conjecture,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    clause107 ).

fof(c_0_123,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_124,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_125,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( hskp12
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_126,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_127,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp28
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause143 ).

cnf(c_0_129,negated_conjecture,
    ( hskp13
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_107])]) ).

cnf(c_0_130,negated_conjecture,
    ( c1_1(a1338)
    | ~ hskp29 ),
    clause50 ).

cnf(c_0_131,negated_conjecture,
    ( c2_1(a1338)
    | ~ hskp29 ),
    clause51 ).

cnf(c_0_132,negated_conjecture,
    ( epred16_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_109]) ).

cnf(c_0_133,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp14
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_107])]) ).

cnf(c_0_134,negated_conjecture,
    ( epred2_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]) ).

cnf(c_0_135,negated_conjecture,
    ( epred20_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]) ).

cnf(c_0_136,negated_conjecture,
    ( epred1_0
    | hskp11
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ c1_1(a1311)
    | ~ hskp3 ),
    clause133 ).

cnf(c_0_138,negated_conjecture,
    ( c0_1(a1311)
    | ~ hskp3 ),
    clause88 ).

cnf(c_0_139,negated_conjecture,
    ( epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_123]) ).

fof(c_0_140,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( hskp27
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ( epred28_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_124]) ).

cnf(c_0_142,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp12
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_107])]) ).

cnf(c_0_143,negated_conjecture,
    ( c1_1(a1325)
    | ~ hskp12 ),
    clause77 ).

cnf(c_0_144,negated_conjecture,
    ( c3_1(a1325)
    | ~ hskp12 ),
    clause78 ).

cnf(c_0_145,negated_conjecture,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    clause117 ).

cnf(c_0_146,negated_conjecture,
    ( epred30_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_126]) ).

cnf(c_0_147,negated_conjecture,
    ( epred52_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_148,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp28
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_107])]) ).

cnf(c_0_149,negated_conjecture,
    ( c1_1(a1348)
    | ~ hskp20 ),
    clause66 ).

cnf(c_0_150,negated_conjecture,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    clause104 ).

cnf(c_0_151,negated_conjecture,
    ( hskp13
    | ~ c0_1(a1338)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).

cnf(c_0_152,negated_conjecture,
    ( epred16_0
    | c0_1(a1338)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_130]),c_0_131]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    clause94 ).

cnf(c_0_154,negated_conjecture,
    ( epred2_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_112]),c_0_134]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    clause93 ).

cnf(c_0_156,negated_conjecture,
    ( c2_1(a1348)
    | ~ hskp20 ),
    clause67 ).

cnf(c_0_157,negated_conjecture,
    ( epred20_0
    | epred1_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_158,negated_conjecture,
    ( hskp20
    | hskp18 ),
    clause2 ).

cnf(c_0_159,negated_conjecture,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    clause112 ).

cnf(c_0_160,negated_conjecture,
    ( c0_1(a1330)
    | ~ hskp14 ),
    clause76 ).

cnf(c_0_161,negated_conjecture,
    ( epred20_0
    | ~ c3_1(a1311)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_116]),c_0_138]) ).

cnf(c_0_162,negated_conjecture,
    ( epred10_0
    | c3_1(a1311)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_139]),c_0_138]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    clause131 ).

cnf(c_0_164,negated_conjecture,
    ( c0_1(a1312)
    | ~ hskp4 ),
    clause87 ).

cnf(c_0_165,negated_conjecture,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    clause132 ).

fof(c_0_166,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp7
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_167,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( hskp20
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_168,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( hskp8
        | c0_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_169,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp13
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp6
        | c0_1(X2)
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_171,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( hskp15
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_173,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_174,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_175,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ ndr1_0
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( epred34_0
    | c2_1(X1)
    | hskp27
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_107])]) ).

cnf(c_0_177,negated_conjecture,
    ( c3_1(a1309)
    | ~ hskp2 ),
    clause91 ).

cnf(c_0_178,negated_conjecture,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    clause134 ).

cnf(c_0_179,negated_conjecture,
    ( c1_1(a1309)
    | ~ hskp2 ),
    clause90 ).

cnf(c_0_180,negated_conjecture,
    ( epred28_0
    | ~ c3_1(a1339)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_120]),c_0_121]) ).

cnf(c_0_181,negated_conjecture,
    ( epred29_0
    | c3_1(a1339)
    | hskp12
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_120]),c_0_121]) ).

cnf(c_0_182,negated_conjecture,
    ( epred28_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_143]),c_0_144]),c_0_145]) ).

fof(c_0_183,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( hskp27
        | c3_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_184,negated_conjecture,
    ( epred52_0
    | epred30_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_185,negated_conjecture,
    ( c2_1(a1328)
    | ~ hskp28 ),
    clause54 ).

cnf(c_0_186,negated_conjecture,
    ( c0_1(a1328)
    | ~ hskp28 ),
    clause53 ).

cnf(c_0_187,negated_conjecture,
    ( c3_1(a1339)
    | hskp28
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_120]),c_0_121]) ).

cnf(c_0_188,negated_conjecture,
    ( epred28_0
    | ~ c3_1(a1348)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_149]),c_0_150]) ).

cnf(c_0_189,negated_conjecture,
    ( c3_1(a1348)
    | hskp28
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).

cnf(c_0_190,negated_conjecture,
    ( epred16_0
    | hskp13
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_191,negated_conjecture,
    ( epred2_0
    | hskp14
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).

cnf(c_0_192,negated_conjecture,
    ( hskp26
    | hskp29
    | hskp20 ),
    clause43 ).

cnf(c_0_193,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | hskp11
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    clause171 ).

cnf(c_0_194,negated_conjecture,
    ( epred16_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_149]),c_0_156]),c_0_150]) ).

cnf(c_0_195,negated_conjecture,
    ( epred20_0
    | epred1_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

fof(c_0_196,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_197,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred46_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_199,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( epred20_0
    | ~ c3_1(a1330)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_116]),c_0_160]) ).

cnf(c_0_201,negated_conjecture,
    ( epred2_0
    | c2_1(a1330)
    | c3_1(a1330) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_112]),c_0_154]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    clause113 ).

cnf(c_0_203,negated_conjecture,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    clause126 ).

cnf(c_0_204,negated_conjecture,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    clause125 ).

cnf(c_0_205,negated_conjecture,
    ( epred20_0
    | epred10_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_206,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp7 ),
    clause39 ).

cnf(c_0_207,negated_conjecture,
    ( epred10_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_139]),c_0_164]),c_0_165]) ).

fof(c_0_208,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_209,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_107])]) ).

cnf(c_0_210,negated_conjecture,
    ( epred19_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp20
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_167]),c_0_107])]) ).

cnf(c_0_211,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp8
    | hskp7
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause148 ).

cnf(c_0_212,negated_conjecture,
    ( epred14_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_168]),c_0_107])]) ).

cnf(c_0_213,negated_conjecture,
    ( epred11_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp13
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_107])]) ).

cnf(c_0_214,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_107])]) ).

cnf(c_0_215,negated_conjecture,
    ( epred9_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp15
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_107])]) ).

cnf(c_0_216,negated_conjecture,
    ( c0_1(a1411)
    | ~ hskp26 ),
    clause59 ).

cnf(c_0_217,negated_conjecture,
    ( epred38_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_172]) ).

cnf(c_0_218,negated_conjecture,
    ( epred35_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_173]) ).

cnf(c_0_219,negated_conjecture,
    ( epred32_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

fof(c_0_220,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_221,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp1
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause151 ).

cnf(c_0_222,negated_conjecture,
    ( ~ c3_1(a1359)
    | ~ hskp23 ),
    clause100 ).

cnf(c_0_223,negated_conjecture,
    ( ~ c0_1(a1359)
    | ~ hskp23 ),
    clause98 ).

cnf(c_0_224,negated_conjecture,
    ( epred54_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_107])]) ).

cnf(c_0_225,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp29
    | hskp18
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause147 ).

cnf(c_0_226,negated_conjecture,
    ( c3_1(X1)
    | hskp30
    | hskp18
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause163 ).

cnf(c_0_227,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause155 ).

fof(c_0_228,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_229,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_230,negated_conjecture,
    ( c1_1(a1307)
    | ~ hskp27 ),
    clause57 ).

cnf(c_0_231,negated_conjecture,
    ( c0_1(a1307)
    | ~ hskp27 ),
    clause56 ).

cnf(c_0_232,negated_conjecture,
    ( c2_1(a1307)
    | ~ hskp27 ),
    clause58 ).

cnf(c_0_233,negated_conjecture,
    ( epred34_0
    | hskp27
    | ~ c0_1(a1309)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).

cnf(c_0_234,negated_conjecture,
    ( epred28_0
    | c0_1(a1309)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_179]),c_0_177]) ).

fof(c_0_235,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp12
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_236,negated_conjecture,
    ( epred29_0
    | epred28_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).

fof(c_0_237,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( hskp4
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_238,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_183]),c_0_107])]) ).

cnf(c_0_239,negated_conjecture,
    ( epred52_0
    | epred30_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).

cnf(c_0_240,negated_conjecture,
    ( epred28_0
    | hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_180,c_0_187]) ).

cnf(c_0_241,negated_conjecture,
    ( epred28_0
    | hskp28
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_242,negated_conjecture,
    ( c1_1(a1331)
    | ~ hskp15 ),
    clause74 ).

cnf(c_0_243,negated_conjecture,
    ( c2_1(a1331)
    | ~ hskp15 ),
    clause75 ).

cnf(c_0_244,negated_conjecture,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    clause111 ).

cnf(c_0_245,negated_conjecture,
    ( epred16_0
    | epred2_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_134,c_0_190]) ).

cnf(c_0_246,negated_conjecture,
    ( epred2_0
    | hskp14
    | hskp29
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_193,c_0_106]),c_0_104]) ).

cnf(c_0_248,negated_conjecture,
    ( epred20_0
    | epred16_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_249,negated_conjecture,
    ( epred15_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_196]) ).

cnf(c_0_250,negated_conjecture,
    ( c3_1(a1315)
    | ~ hskp6 ),
    clause85 ).

cnf(c_0_251,negated_conjecture,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    clause127 ).

cnf(c_0_252,negated_conjecture,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    clause128 ).

cnf(c_0_253,negated_conjecture,
    ( epred51_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_197]) ).

cnf(c_0_254,negated_conjecture,
    ( epred46_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

cnf(c_0_255,negated_conjecture,
    ( epred45_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_199]) ).

cnf(c_0_256,negated_conjecture,
    ( c3_1(a1338)
    | ~ hskp29 ),
    clause52 ).

fof(c_0_257,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_258,negated_conjecture,
    ( epred20_0
    | epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).

cnf(c_0_259,negated_conjecture,
    ( epred10_0
    | c3_1(a1330)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_139]),c_0_160]) ).

cnf(c_0_260,negated_conjecture,
    ( epred2_0
    | hskp14
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_154]),c_0_204]) ).

cnf(c_0_261,negated_conjecture,
    ( epred20_0
    | epred10_0
    | hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_262,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_208]) ).

cnf(c_0_263,negated_conjecture,
    ( epred29_0
    | c3_1(a1348)
    | hskp12
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_149]),c_0_150]) ).

cnf(c_0_264,negated_conjecture,
    ( epred25_0
    | hskp7
    | ~ c3_1(a1339)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_120]),c_0_122]) ).

cnf(c_0_265,negated_conjecture,
    ( epred19_0
    | c2_1(a1339)
    | c3_1(a1339)
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_120]),c_0_158]) ).

cnf(c_0_266,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp7
    | hskp8
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_107])]) ).

cnf(c_0_267,negated_conjecture,
    ( epred14_0
    | c0_1(a1326)
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_212]),c_0_114]) ).

cnf(c_0_268,negated_conjecture,
    ( epred11_0
    | epred5_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_269,negated_conjecture,
    ( epred9_0
    | c1_1(a1411)
    | hskp15
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_155]) ).

cnf(c_0_270,negated_conjecture,
    ( epred52_0
    | epred38_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_217,c_0_147]) ).

cnf(c_0_271,negated_conjecture,
    ( c3_1(a1328)
    | ~ hskp28 ),
    clause55 ).

cnf(c_0_272,negated_conjecture,
    ( epred35_0
    | epred30_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_218]) ).

cnf(c_0_273,negated_conjecture,
    ( epred32_0
    | ~ c3_1(a1348)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_149]),c_0_156]) ).

cnf(c_0_274,negated_conjecture,
    ( epred53_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_220]),c_0_107])]) ).

cnf(c_0_275,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp1
    | hskp10
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_107])]) ).

cnf(c_0_276,negated_conjecture,
    ( epred5_0
    | c2_1(a1359)
    | hskp6
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_214]),c_0_223]) ).

cnf(c_0_277,negated_conjecture,
    ( epred54_0
    | epred14_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_224,c_0_212]) ).

cnf(c_0_278,negated_conjecture,
    ( epred54_0
    | epred5_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_224,c_0_214]) ).

cnf(c_0_279,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp29
    | hskp18
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_107])]) ).

cnf(c_0_280,negated_conjecture,
    ( c3_1(X1)
    | hskp30
    | hskp18
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_107])]) ).

cnf(c_0_281,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_107])]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    clause123 ).

cnf(c_0_283,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_228]),c_0_107])]) ).

cnf(c_0_284,negated_conjecture,
    ( epred44_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_107])]) ).

cnf(c_0_285,negated_conjecture,
    ( c1_1(a1333)
    | ~ hskp16 ),
    clause73 ).

cnf(c_0_286,negated_conjecture,
    ( c3_1(a1321)
    | ~ hskp10 ),
    clause82 ).

cnf(c_0_287,negated_conjecture,
    ( c0_1(a1321)
    | ~ hskp10 ),
    clause81 ).

cnf(c_0_288,negated_conjecture,
    ( ~ c2_1(a1321)
    | ~ hskp10 ),
    clause119 ).

cnf(c_0_289,negated_conjecture,
    ( epred30_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_230]),c_0_231]),c_0_232]) ).

cnf(c_0_290,negated_conjecture,
    ( epred34_0
    | epred28_0
    | hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_291,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp12
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_107])]) ).

cnf(c_0_292,negated_conjecture,
    ( epred29_0
    | epred28_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_236,c_0_158]) ).

cnf(c_0_293,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp4
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_107])]) ).

cnf(c_0_294,negated_conjecture,
    ( c2_1(a1319)
    | ~ hskp8 ),
    clause84 ).

cnf(c_0_295,negated_conjecture,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    clause122 ).

cnf(c_0_296,negated_conjecture,
    ( epred21_0
    | hskp27
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_216]),c_0_153]),c_0_155]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    clause124 ).

cnf(c_0_298,negated_conjecture,
    ( epred52_0
    | epred30_0
    | epred28_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_299,negated_conjecture,
    ( epred52_0
    | epred30_0
    | epred28_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_239,c_0_241]) ).

cnf(c_0_300,negated_conjecture,
    ( epred30_0
    | ~ c0_1(a1331)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_242]),c_0_243]) ).

cnf(c_0_301,negated_conjecture,
    ( c0_1(a1331)
    | hskp28
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_242]),c_0_244]) ).

cnf(c_0_302,negated_conjecture,
    ( epred16_0
    | epred2_0
    | hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_194]) ).

cnf(c_0_303,negated_conjecture,
    ( epred20_0
    | epred16_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_304,negated_conjecture,
    ( epred52_0
    | ~ c2_1(a1312)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_147]),c_0_164]) ).

cnf(c_0_305,negated_conjecture,
    ( epred9_0
    | c2_1(a1312)
    | hskp15
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_164]),c_0_163]) ).

cnf(c_0_306,negated_conjecture,
    ( epred15_0
    | ~ c2_1(a1315)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).

cnf(c_0_307,negated_conjecture,
    ( epred51_0
    | c2_1(a1315)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_250]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    clause135 ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(a1308)
    | ~ hskp1 ),
    clause92 ).

cnf(c_0_310,negated_conjecture,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    clause136 ).

cnf(c_0_311,negated_conjecture,
    ( epred15_0
    | ~ c2_1(a1325)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_144]),c_0_145]) ).

cnf(c_0_312,negated_conjecture,
    ( epred46_0
    | c2_1(a1325)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_143]),c_0_145]) ).

cnf(c_0_313,negated_conjecture,
    ( epred45_0
    | c2_1(a1325)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_144]),c_0_145]) ).

cnf(c_0_314,negated_conjecture,
    ( c1_1(a1372)
    | ~ hskp30 ),
    clause48 ).

cnf(c_0_315,negated_conjecture,
    ( c0_1(a1372)
    | ~ hskp30 ),
    clause47 ).

cnf(c_0_316,negated_conjecture,
    ( c3_1(a1372)
    | ~ hskp30 ),
    clause49 ).

cnf(c_0_317,negated_conjecture,
    ( epred30_0
    | ~ c0_1(a1338)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_130]),c_0_131]) ).

cnf(c_0_318,negated_conjecture,
    ( epred15_0
    | c0_1(a1338)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_256]),c_0_131]) ).

cnf(c_0_319,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp18 ),
    clause34 ).

cnf(c_0_320,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_257]) ).

cnf(c_0_321,negated_conjecture,
    ( epred20_0
    | epred2_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_154]) ).

cnf(c_0_322,negated_conjecture,
    ( epred20_0
    | epred10_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_200,c_0_259]) ).

cnf(c_0_323,negated_conjecture,
    ( epred20_0
    | epred10_0
    | epred2_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_324,negated_conjecture,
    ( c3_1(a1334)
    | ~ hskp17 ),
    clause72 ).

cnf(c_0_325,negated_conjecture,
    ( c2_1(a1334)
    | ~ hskp17 ),
    clause71 ).

cnf(c_0_326,negated_conjecture,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    clause108 ).

cnf(c_0_327,negated_conjecture,
    ( epred22_0
    | epred10_0
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_139]) ).

cnf(c_0_328,negated_conjecture,
    ( c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    clause200 ).

cnf(c_0_329,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    clause197 ).

cnf(c_0_330,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    clause198 ).

cnf(c_0_331,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    clause196 ).

cnf(c_0_332,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X3) ),
    clause193 ).

cnf(c_0_333,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause187 ).

cnf(c_0_334,negated_conjecture,
    ( c0_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause183 ).

cnf(c_0_335,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | hskp12
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause184 ).

cnf(c_0_336,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp4
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause179 ).

cnf(c_0_337,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp7
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause178 ).

cnf(c_0_338,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp27
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause182 ).

cnf(c_0_339,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp20
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    clause181 ).

cnf(c_0_340,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause173 ).

cnf(c_0_341,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp8
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause174 ).

cnf(c_0_342,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause176 ).

cnf(c_0_343,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp15
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause177 ).

cnf(c_0_344,negated_conjecture,
    ( epred15_0
    | c0_1(a1348)
    | epred29_0
    | hskp12
    | ~ c2_1(a1348)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_249,c_0_263]) ).

cnf(c_0_345,negated_conjecture,
    ( epred54_0
    | c2_1(a1339)
    | c0_1(a1339)
    | epred29_0
    | hskp12
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_224,c_0_181]) ).

cnf(c_0_346,negated_conjecture,
    ( epred25_0
    | hskp7
    | epred2_0
    | c2_1(a1339)
    | hskp14
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_264,c_0_154]) ).

cnf(c_0_347,negated_conjecture,
    ( epred28_0
    | epred19_0
    | c2_1(a1339)
    | hskp20
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_180,c_0_265]) ).

cnf(c_0_348,negated_conjecture,
    ( epred54_0
    | c2_1(a1339)
    | c0_1(a1339)
    | epred19_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_224,c_0_265]) ).

cnf(c_0_349,negated_conjecture,
    ( c2_1(a1326)
    | c1_1(a1326)
    | hskp7
    | hskp8
    | epred14_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_350,negated_conjecture,
    ( epred11_0
    | epred5_0
    | c0_1(a1339)
    | hskp6
    | hskp13
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_122,c_0_268]) ).

cnf(c_0_351,negated_conjecture,
    ( epred54_0
    | c2_1(a1339)
    | c0_1(a1339)
    | hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_224,c_0_187]) ).

cnf(c_0_352,negated_conjecture,
    ( epred22_0
    | c3_1(a1411)
    | epred9_0
    | hskp15
    | ~ c0_1(a1411)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_262,c_0_269]) ).

cnf(c_0_353,negated_conjecture,
    ( epred52_0
    | epred38_0
    | ~ c2_1(a1328)
    | ~ c0_1(a1328)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_354,negated_conjecture,
    ( epred35_0
    | epred30_0
    | ~ c2_1(a1328)
    | ~ c0_1(a1328)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_272,c_0_271]) ).

cnf(c_0_355,negated_conjecture,
    ( epred32_0
    | epred53_0
    | c0_1(a1348)
    | ~ hskp20
    | ~ c2_1(a1348) ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_356,negated_conjecture,
    ( c3_1(a1359)
    | c1_1(a1359)
    | hskp1
    | hskp10
    | epred5_0
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_357,negated_conjecture,
    ( epred54_0
    | epred14_0
    | c0_1(a1339)
    | hskp8
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_122,c_0_277]) ).

cnf(c_0_358,negated_conjecture,
    ( epred54_0
    | epred5_0
    | c0_1(a1339)
    | hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_122,c_0_278]) ).

cnf(c_0_359,negated_conjecture,
    ( c2_1(a1330)
    | c1_1(a1330)
    | hskp29
    | hskp18
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_279,c_0_160]) ).

cnf(c_0_360,negated_conjecture,
    ( c2_1(a1330)
    | c1_1(a1330)
    | hskp7
    | hskp8
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_266,c_0_160]) ).

cnf(c_0_361,negated_conjecture,
    ( c3_1(a1331)
    | hskp30
    | hskp18
    | ~ c0_1(a1331)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_280,c_0_243]) ).

cnf(c_0_362,negated_conjecture,
    ( c0_1(a1348)
    | hskp16
    | hskp17
    | ~ c2_1(a1348)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_281,c_0_149]) ).

cnf(c_0_363,negated_conjecture,
    ( epred54_0
    | c2_1(a1325)
    | c0_1(a1325)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_224,c_0_144]) ).

cnf(c_0_364,negated_conjecture,
    ( epred54_0
    | c2_1(a1315)
    | c0_1(a1315)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_224,c_0_250]) ).

cnf(c_0_365,negated_conjecture,
    ( epred53_0
    | c0_1(a1331)
    | ~ hskp15
    | ~ c2_1(a1331) ),
    inference(spm,[status(thm)],[c_0_244,c_0_274]) ).

cnf(c_0_366,negated_conjecture,
    ( epred53_0
    | c0_1(a1319)
    | ~ hskp8
    | ~ c2_1(a1319) ),
    inference(spm,[status(thm)],[c_0_282,c_0_274]) ).

cnf(c_0_367,negated_conjecture,
    ( epred50_0
    | c2_1(a1411)
    | ~ hskp26
    | ~ c0_1(a1411) ),
    inference(spm,[status(thm)],[c_0_153,c_0_283]) ).

cnf(c_0_368,negated_conjecture,
    ( epred44_0
    | c2_1(a1333)
    | c3_1(a1333)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_369,negated_conjecture,
    ( epred34_0
    | hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_286]),c_0_287]),c_0_288]) ).

cnf(c_0_370,negated_conjecture,
    ( epred34_0
    | epred30_0
    | epred28_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_371,negated_conjecture,
    ( epred31_0
    | hskp12
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_120]),c_0_121]),c_0_122]) ).

cnf(c_0_372,negated_conjecture,
    ( epred29_0
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_263]),c_0_292]),c_0_182]) ).

cnf(c_0_373,negated_conjecture,
    ( epred27_0
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]),c_0_282]) ).

cnf(c_0_374,negated_conjecture,
    ( epred21_0
    | hskp27
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_296,c_0_102]) ).

cnf(c_0_375,negated_conjecture,
    ( epred14_0
    | hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_212]),c_0_297]),c_0_204]) ).

cnf(c_0_376,negated_conjecture,
    ( epred52_0
    | epred30_0
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_158]),c_0_299]) ).

cnf(c_0_377,negated_conjecture,
    ( epred30_0
    | hskp28
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_378,negated_conjecture,
    ( epred20_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_302]),c_0_303]) ).

cnf(c_0_379,negated_conjecture,
    ( hskp13
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_230]),c_0_231]),c_0_232]) ).

cnf(c_0_380,negated_conjecture,
    ( epred52_0
    | epred9_0
    | hskp15
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_381,negated_conjecture,
    ( epred51_0
    | epred15_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_382,negated_conjecture,
    ( epred51_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_253]),c_0_309]),c_0_310]) ).

cnf(c_0_383,negated_conjecture,
    ( epred46_0
    | epred15_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_384,negated_conjecture,
    ( epred45_0
    | epred15_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_311,c_0_313]) ).

cnf(c_0_385,negated_conjecture,
    ( epred38_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_314]),c_0_315]),c_0_316]) ).

cnf(c_0_386,negated_conjecture,
    ( epred30_0
    | epred15_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_387,negated_conjecture,
    ( epred30_0
    | hskp14
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_289,c_0_319]) ).

cnf(c_0_388,negated_conjecture,
    ( epred26_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_320]),c_0_250]),c_0_251]) ).

cnf(c_0_389,negated_conjecture,
    ( epred20_0
    | epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_321]),c_0_204]) ).

cnf(c_0_390,negated_conjecture,
    ( epred20_0
    | epred10_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_391,negated_conjecture,
    ( epred15_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_324]),c_0_325]),c_0_326]) ).

cnf(c_0_392,negated_conjecture,
    ( epred22_0
    | epred10_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_327]),c_0_216]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ epred53_0
    | ~ epred38_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_328,c_0_220]),c_0_196]),c_0_172]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ epred54_0
    | ~ epred28_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_329,c_0_175]),c_0_105]),c_0_124]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ epred53_0
    | ~ epred52_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_330,c_0_220]),c_0_127]),c_0_196]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ epred52_0
    | ~ epred51_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_331,c_0_228]),c_0_197]),c_0_127]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_332,c_0_229]),c_0_199]),c_0_198]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_333,c_0_140]),c_0_173]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_334,c_0_235]),c_0_174]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_335,c_0_125]),c_0_126]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_336,c_0_237]),c_0_124]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ epred26_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_337,c_0_166]),c_0_257]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_338,c_0_183]),c_0_208]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_339,c_0_167]),c_0_105]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ epred16_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_340,c_0_170]),c_0_109]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_341,c_0_168]),c_0_196]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_342,c_0_169]),c_0_123]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_343,c_0_171]),c_0_123]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    clause109 ).

cnf(c_0_410,negated_conjecture,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    clause110 ).

cnf(c_0_411,negated_conjecture,
    ( ~ c1_1(a1359)
    | ~ hskp23 ),
    clause99 ).

cnf(c_0_412,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp23 ),
    clause44 ).

cnf(c_0_413,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_301,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_289,c_0_300,c_0_182,c_0_388,c_0_389,c_0_258,c_0_390,c_0_157,c_0_194,c_0_391,c_0_311,c_0_306,c_0_207,c_0_134,c_0_239,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_247,c_0_251,c_0_295,c_0_114,c_0_111,c_0_202,c_0_159,c_0_244,c_0_409,c_0_410,c_0_222,c_0_411,c_0_122,c_0_121,c_0_150,c_0_145,c_0_155,c_0_153,c_0_294,c_0_243,c_0_156,c_0_185,c_0_216,c_0_186,c_0_412,c_0_319,c_0_158,c_0_102]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN478-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Sat Aug 26 17:25:18 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 1.18/1.32  % Version  : CSE_E---1.5
% 1.18/1.32  % Problem  : theBenchmark.p
% 1.18/1.32  % Proof found
% 1.18/1.32  % SZS status Theorem for theBenchmark.p
% 1.18/1.32  % SZS output start Proof
% See solution above
% 1.27/1.34  % Total time : 0.736000 s
% 1.27/1.34  % SZS output end Proof
% 1.27/1.34  % Total time : 0.742000 s
%------------------------------------------------------------------------------