TSTP Solution File: SYN459-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN459-1 : 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 : n016.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 01:52:02 EDT 2023

% Result   : Unsatisfiable 1.72s 1.81s
% Output   : CNFRefutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  251
% Syntax   : Number of formulae    :  565 (   2 unt; 114 typ;   0 def)
%            Number of atoms       : 1764 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2127 ( 814   ~;1272   |;   0   &)
%                                         (  41 <=>;   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  :   89 (  88 usr;  85 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  224 (   0 sgn;  41   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hskp25: $o ).

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

tff(decl_24,type,
    hskp24: $o ).

tff(decl_25,type,
    hskp23: $o ).

tff(decl_26,type,
    hskp22: $o ).

tff(decl_27,type,
    hskp21: $o ).

tff(decl_28,type,
    hskp20: $o ).

tff(decl_29,type,
    hskp19: $o ).

tff(decl_30,type,
    hskp18: $o ).

tff(decl_31,type,
    hskp17: $o ).

tff(decl_32,type,
    hskp16: $o ).

tff(decl_33,type,
    hskp15: $o ).

tff(decl_34,type,
    hskp14: $o ).

tff(decl_35,type,
    hskp13: $o ).

tff(decl_36,type,
    hskp12: $o ).

tff(decl_37,type,
    hskp11: $o ).

tff(decl_38,type,
    hskp10: $o ).

tff(decl_39,type,
    hskp9: $o ).

tff(decl_40,type,
    hskp8: $o ).

tff(decl_41,type,
    hskp7: $o ).

tff(decl_42,type,
    hskp6: $o ).

tff(decl_43,type,
    hskp5: $o ).

tff(decl_44,type,
    hskp4: $o ).

tff(decl_45,type,
    hskp3: $o ).

tff(decl_46,type,
    hskp2: $o ).

tff(decl_47,type,
    hskp1: $o ).

tff(decl_48,type,
    hskp0: $o ).

tff(decl_49,type,
    a230: $i ).

tff(decl_50,type,
    c0_1: $i > $o ).

tff(decl_51,type,
    c1_1: $i > $o ).

tff(decl_52,type,
    c2_1: $i > $o ).

tff(decl_53,type,
    a215: $i ).

tff(decl_54,type,
    c3_1: $i > $o ).

tff(decl_55,type,
    a189: $i ).

tff(decl_56,type,
    a259: $i ).

tff(decl_57,type,
    a257: $i ).

tff(decl_58,type,
    a233: $i ).

tff(decl_59,type,
    a225: $i ).

tff(decl_60,type,
    a223: $i ).

tff(decl_61,type,
    a222: $i ).

tff(decl_62,type,
    a214: $i ).

tff(decl_63,type,
    a210: $i ).

tff(decl_64,type,
    a209: $i ).

tff(decl_65,type,
    a202: $i ).

tff(decl_66,type,
    a200: $i ).

tff(decl_67,type,
    a199: $i ).

tff(decl_68,type,
    a198: $i ).

tff(decl_69,type,
    a197: $i ).

tff(decl_70,type,
    a195: $i ).

tff(decl_71,type,
    a194: $i ).

tff(decl_72,type,
    a193: $i ).

tff(decl_73,type,
    a192: $i ).

tff(decl_74,type,
    a190: $i ).

tff(decl_75,type,
    a221: $i ).

tff(decl_76,type,
    a206: $i ).

tff(decl_77,type,
    a191: $i ).

tff(decl_78,type,
    a188: $i ).

tff(decl_79,type,
    epred1_0: $o ).

tff(decl_80,type,
    epred2_0: $o ).

tff(decl_81,type,
    epred3_0: $o ).

tff(decl_82,type,
    epred4_0: $o ).

tff(decl_83,type,
    epred5_0: $o ).

tff(decl_84,type,
    epred6_0: $o ).

tff(decl_85,type,
    epred7_0: $o ).

tff(decl_86,type,
    epred8_0: $o ).

tff(decl_87,type,
    epred9_0: $o ).

tff(decl_88,type,
    epred10_0: $o ).

tff(decl_89,type,
    epred11_0: $o ).

tff(decl_90,type,
    epred12_0: $o ).

tff(decl_91,type,
    epred13_0: $o ).

tff(decl_92,type,
    epred14_0: $o ).

tff(decl_93,type,
    epred15_0: $o ).

tff(decl_94,type,
    epred16_0: $o ).

tff(decl_95,type,
    epred17_0: $o ).

tff(decl_96,type,
    epred18_0: $o ).

tff(decl_97,type,
    epred19_0: $o ).

tff(decl_98,type,
    epred20_0: $o ).

tff(decl_99,type,
    epred21_0: $o ).

tff(decl_100,type,
    epred22_0: $o ).

tff(decl_101,type,
    epred23_0: $o ).

tff(decl_102,type,
    epred24_0: $o ).

tff(decl_103,type,
    epred25_0: $o ).

tff(decl_104,type,
    epred26_0: $o ).

tff(decl_105,type,
    epred27_0: $o ).

tff(decl_106,type,
    epred28_0: $o ).

tff(decl_107,type,
    epred29_0: $o ).

tff(decl_108,type,
    epred30_0: $o ).

tff(decl_109,type,
    epred31_0: $o ).

tff(decl_110,type,
    epred32_0: $o ).

tff(decl_111,type,
    epred33_0: $o ).

tff(decl_112,type,
    epred34_0: $o ).

tff(decl_113,type,
    epred35_0: $o ).

tff(decl_114,type,
    epred36_0: $o ).

tff(decl_115,type,
    epred37_0: $o ).

tff(decl_116,type,
    epred38_0: $o ).

tff(decl_117,type,
    epred39_0: $o ).

tff(decl_118,type,
    epred40_0: $o ).

tff(decl_119,type,
    epred41_0: $o ).

tff(decl_120,type,
    epred42_0: $o ).

tff(decl_121,type,
    epred43_0: $o ).

tff(decl_122,type,
    epred44_0: $o ).

tff(decl_123,type,
    epred45_0: $o ).

tff(decl_124,type,
    epred46_0: $o ).

tff(decl_125,type,
    epred47_0: $o ).

tff(decl_126,type,
    epred48_0: $o ).

tff(decl_127,type,
    epred49_0: $o ).

tff(decl_128,type,
    epred50_0: $o ).

tff(decl_129,type,
    epred51_0: $o ).

tff(decl_130,type,
    epred52_0: $o ).

tff(decl_131,type,
    epred53_0: $o ).

tff(decl_132,type,
    epred54_0: $o ).

tff(decl_133,type,
    epred55_0: $o ).

tff(decl_134,type,
    epred56_0: $o ).

tff(decl_135,type,
    epred57_0: $o ).

cnf(clause1,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause27,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

cnf(clause11,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

cnf(clause24,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

cnf(clause112,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause110,negated_conjecture,
    ( ~ c1_1(a188)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause109,negated_conjecture,
    ( ~ c0_1(a188)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause111,negated_conjecture,
    ( ~ c3_1(a188)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause72,negated_conjecture,
    ( ~ c1_1(a257)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause44,negated_conjecture,
    ( c2_1(a257)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause73,negated_conjecture,
    ( ~ c3_1(a257)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause76,negated_conjecture,
    ( ~ c1_1(a225)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ c0_1(a225)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(clause47,negated_conjecture,
    ( c3_1(a225)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause29,negated_conjecture,
    ( hskp1
    | hskp9
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

cnf(clause64,negated_conjecture,
    ( c0_1(a194)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause100,negated_conjecture,
    ( ~ c1_1(a194)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause101,negated_conjecture,
    ( ~ c2_1(a194)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause51,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause83,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause84,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause30,negated_conjecture,
    ( hskp5
    | hskp15
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a190)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause68,negated_conjecture,
    ( c0_1(a190)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause108,negated_conjecture,
    ( ~ c3_1(a190)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause94,negated_conjecture,
    ( ~ c1_1(a199)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause93,negated_conjecture,
    ( ~ c0_1(a199)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause35,negated_conjecture,
    ( c1_1(a230)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause34,negated_conjecture,
    ( c0_1(a230)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause59,negated_conjecture,
    ( c2_1(a199)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause37,negated_conjecture,
    ( c1_1(a215)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause39,negated_conjecture,
    ( c3_1(a215)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause38,negated_conjecture,
    ( c2_1(a215)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(clause54,negated_conjecture,
    ( c1_1(a209)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause55,negated_conjecture,
    ( c3_1(a209)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause86,negated_conjecture,
    ( ~ c0_1(a209)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause151,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(clause43,negated_conjecture,
    ( c3_1(a259)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause70,negated_conjecture,
    ( ~ c0_1(a259)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause71,negated_conjecture,
    ( ~ c2_1(a259)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause105,negated_conjecture,
    ( ~ c1_1(a191)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause107,negated_conjecture,
    ( ~ c3_1(a191)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause62,negated_conjecture,
    ( c1_1(a197)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause96,negated_conjecture,
    ( ~ c0_1(a197)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(clause116,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp11
    | hskp9
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause114,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp3
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause125,negated_conjecture,
    ( c3_1(X1)
    | hskp10
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(clause123,negated_conjecture,
    ( c3_1(X1)
    | hskp7
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause127,negated_conjecture,
    ( hskp23
    | hskp5
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause126,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause133,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(clause156,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(clause143,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(clause113,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause106,negated_conjecture,
    ( ~ c2_1(a191)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause159,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(clause158,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(clause160,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause31,negated_conjecture,
    ( hskp24
    | hskp22
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(clause36,negated_conjecture,
    ( c2_1(a230)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause41,negated_conjecture,
    ( c1_1(a189)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause40,negated_conjecture,
    ( c0_1(a189)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause42,negated_conjecture,
    ( c3_1(a189)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause67,negated_conjecture,
    ( c1_1(a192)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause58,negated_conjecture,
    ( c3_1(a200)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause98,negated_conjecture,
    ( ~ c1_1(a195)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a202)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause92,negated_conjecture,
    ( ~ c1_1(a200)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(clause57,negated_conjecture,
    ( c0_1(a200)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause28,negated_conjecture,
    ( hskp23
    | hskp9
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

cnf(clause65,negated_conjecture,
    ( c1_1(a193)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause102,negated_conjecture,
    ( ~ c0_1(a193)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause103,negated_conjecture,
    ( ~ c3_1(a193)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause97,negated_conjecture,
    ( ~ c2_1(a197)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause163,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(clause155,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause153,negated_conjecture,
    ( c0_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause145,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(clause148,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(clause149,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause140,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

cnf(clause138,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

cnf(clause137,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(clause141,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause139,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(clause136,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(clause134,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | hskp10
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(clause135,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | hskp13
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(clause130,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp15
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(clause129,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(clause104,negated_conjecture,
    ( ~ c3_1(a192)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause99,negated_conjecture,
    ( ~ c3_1(a195)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause90,negated_conjecture,
    ( ~ c2_1(a202)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause66,negated_conjecture,
    ( c0_1(a192)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause63,negated_conjecture,
    ( c0_1(a195)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause56,negated_conjecture,
    ( c0_1(a202)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_0_96,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    clause1 ).

cnf(c_0_97,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp2 ),
    clause27 ).

cnf(c_0_98,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    clause11 ).

cnf(c_0_99,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    clause24 ).

cnf(c_0_100,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ ndr1_0 ),
    clause112 ).

cnf(c_0_101,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).

fof(c_0_102,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_103,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_104,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_105,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_106,negated_conjecture,
    ( ~ c1_1(a188)
    | ~ hskp0 ),
    clause110 ).

cnf(c_0_107,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ c0_1(a188)
    | ~ hskp0 ),
    clause109 ).

cnf(c_0_109,negated_conjecture,
    ( ~ c3_1(a188)
    | ~ hskp0 ),
    clause111 ).

fof(c_0_110,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( hskp9
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_111,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( hskp5
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_112,negated_conjecture,
    ( ~ c1_1(a257)
    | ~ hskp21 ),
    clause72 ).

cnf(c_0_113,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_102]) ).

cnf(c_0_114,negated_conjecture,
    ( c2_1(a257)
    | ~ hskp21 ),
    clause44 ).

cnf(c_0_115,negated_conjecture,
    ( ~ c3_1(a257)
    | ~ hskp21 ),
    clause73 ).

cnf(c_0_116,negated_conjecture,
    ( ~ c1_1(a225)
    | ~ hskp19 ),
    clause76 ).

cnf(c_0_117,negated_conjecture,
    ( epred45_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_103]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ c0_1(a225)
    | ~ hskp19 ),
    clause75 ).

cnf(c_0_119,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_104]) ).

cnf(c_0_120,negated_conjecture,
    ( c3_1(a225)
    | ~ hskp19 ),
    clause47 ).

fof(c_0_121,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp19
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_122,negated_conjecture,
    ( epred16_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_105]) ).

fof(c_0_123,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_124,negated_conjecture,
    ( hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]) ).

cnf(c_0_125,negated_conjecture,
    ( hskp1
    | hskp9
    | hskp0 ),
    clause29 ).

fof(c_0_126,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_127,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_128,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_129,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( hskp13
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_130,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_131,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp13
        | c1_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_132,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_101])]) ).

cnf(c_0_133,negated_conjecture,
    ( c0_1(a194)
    | ~ hskp5 ),
    clause64 ).

cnf(c_0_134,negated_conjecture,
    ( ~ c1_1(a194)
    | ~ hskp5 ),
    clause100 ).

cnf(c_0_135,negated_conjecture,
    ( ~ c2_1(a194)
    | ~ hskp5 ),
    clause101 ).

cnf(c_0_136,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_101])]) ).

cnf(c_0_137,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp15 ),
    clause51 ).

cnf(c_0_138,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp15 ),
    clause83 ).

cnf(c_0_139,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp15 ),
    clause84 ).

cnf(c_0_140,negated_conjecture,
    ( epred22_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_141,negated_conjecture,
    ( hskp5
    | hskp15
    | hskp21 ),
    clause30 ).

cnf(c_0_142,negated_conjecture,
    ( epred45_0
    | ~ c2_1(a225)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

cnf(c_0_143,negated_conjecture,
    ( epred8_0
    | c2_1(a225)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_118]) ).

cnf(c_0_144,negated_conjecture,
    ( epred21_0
    | c3_1(X1)
    | hskp19
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_121]),c_0_101])]) ).

cnf(c_0_145,negated_conjecture,
    ( c2_1(a190)
    | ~ hskp1 ),
    clause69 ).

cnf(c_0_146,negated_conjecture,
    ( c0_1(a190)
    | ~ hskp1 ),
    clause68 ).

cnf(c_0_147,negated_conjecture,
    ( ~ c3_1(a190)
    | ~ hskp1 ),
    clause108 ).

cnf(c_0_148,negated_conjecture,
    ( epred16_0
    | c2_1(a225)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_122]),c_0_118]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c1_1(a199)
    | ~ hskp9 ),
    clause94 ).

cnf(c_0_150,negated_conjecture,
    ( epred25_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_123]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ c0_1(a199)
    | ~ hskp9 ),
    clause93 ).

cnf(c_0_152,negated_conjecture,
    ( hskp1
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_153,negated_conjecture,
    ( epred51_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_126]) ).

cnf(c_0_154,negated_conjecture,
    ( epred50_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_155,negated_conjecture,
    ( epred36_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_128]) ).

cnf(c_0_156,negated_conjecture,
    ( c1_1(a230)
    | ~ hskp25 ),
    clause35 ).

cnf(c_0_157,negated_conjecture,
    ( c0_1(a230)
    | ~ hskp25 ),
    clause34 ).

cnf(c_0_158,negated_conjecture,
    ( epred23_0
    | c3_1(X1)
    | hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_101])]) ).

fof(c_0_159,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( hskp7
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_160,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( hskp24
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_161,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_162,negated_conjecture,
    ( epred14_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_130]) ).

cnf(c_0_163,negated_conjecture,
    ( epred5_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_101])]) ).

fof(c_0_164,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp1
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_165,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_166,negated_conjecture,
    ( epred35_0
    | hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_167,negated_conjecture,
    ( epred11_0
    | hskp5
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139]) ).

cnf(c_0_168,negated_conjecture,
    ( epred22_0
    | hskp5
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

fof(c_0_169,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp13
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_171,negated_conjecture,
    ( epred45_0
    | epred8_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_172,negated_conjecture,
    ( epred21_0
    | hskp19
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147]) ).

cnf(c_0_173,negated_conjecture,
    ( c2_1(a199)
    | ~ hskp9 ),
    clause59 ).

cnf(c_0_174,negated_conjecture,
    ( epred45_0
    | epred16_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_142,c_0_148]) ).

cnf(c_0_175,negated_conjecture,
    ( epred25_0
    | ~ c3_1(a199)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_176,negated_conjecture,
    ( c3_1(a199)
    | c0_1(a199)
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_107]),c_0_152]) ).

fof(c_0_177,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_178,negated_conjecture,
    ( epred51_0
    | ~ c0_1(a257)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_153]),c_0_114]) ).

cnf(c_0_179,negated_conjecture,
    ( epred50_0
    | c0_1(a257)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_154]),c_0_114]) ).

fof(c_0_180,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_181,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_182,negated_conjecture,
    ( epred36_0
    | ~ c3_1(a230)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).

cnf(c_0_183,negated_conjecture,
    ( epred23_0
    | c3_1(a230)
    | hskp13
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_156]),c_0_157]) ).

cnf(c_0_184,negated_conjecture,
    ( c1_1(a215)
    | ~ hskp24 ),
    clause37 ).

cnf(c_0_185,negated_conjecture,
    ( c3_1(a215)
    | ~ hskp24 ),
    clause39 ).

cnf(c_0_186,negated_conjecture,
    ( epred39_0
    | c0_1(X1)
    | hskp7
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_159]),c_0_101])]) ).

cnf(c_0_187,negated_conjecture,
    ( c2_1(a215)
    | ~ hskp24 ),
    clause38 ).

cnf(c_0_188,negated_conjecture,
    ( epred17_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp24
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_101])]) ).

cnf(c_0_189,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_161]) ).

cnf(c_0_190,negated_conjecture,
    ( c1_1(a209)
    | ~ hskp13 ),
    clause54 ).

cnf(c_0_191,negated_conjecture,
    ( c3_1(a209)
    | ~ hskp13 ),
    clause55 ).

cnf(c_0_192,negated_conjecture,
    ( ~ c0_1(a209)
    | ~ hskp13 ),
    clause86 ).

cnf(c_0_193,negated_conjecture,
    ( epred14_0
    | ~ c3_1(a194)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_162]),c_0_135]) ).

cnf(c_0_194,negated_conjecture,
    ( epred5_0
    | c3_1(a194)
    | hskp13
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_163]),c_0_135]) ).

cnf(c_0_195,negated_conjecture,
    ( epred28_0
    | c3_1(X1)
    | hskp1
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_164]),c_0_101])]) ).

cnf(c_0_196,negated_conjecture,
    ( c0_1(a257)
    | hskp1
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_107]),c_0_115]) ).

fof(c_0_197,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( hskp2
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_198,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp15
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_199,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( hskp10
        | c1_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_200,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_201,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( hskp0
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_202,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_203,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp23
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_204,plain,
    ( ~ epred57_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_205,negated_conjecture,
    ( epred18_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_165]) ).

fof(c_0_206,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_207,negated_conjecture,
    ( epred35_0
    | epred11_0
    | hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_208,negated_conjecture,
    ( epred35_0
    | epred22_0
    | hskp9
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_166,c_0_168]) ).

cnf(c_0_209,negated_conjecture,
    ( epred31_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_101])]) ).

fof(c_0_210,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp2
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_211,negated_conjecture,
    ( epred6_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_170]) ).

fof(c_0_212,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_213,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c0_1(X3)
    | c1_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    clause151 ).

cnf(c_0_214,negated_conjecture,
    ( epred45_0
    | epred21_0
    | epred8_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_215,negated_conjecture,
    ( epred45_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_117]),c_0_173]),c_0_151]) ).

cnf(c_0_216,negated_conjecture,
    ( epred45_0
    | epred21_0
    | epred16_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_174,c_0_172]) ).

cnf(c_0_217,negated_conjecture,
    ( epred25_0
    | c0_1(a199)
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_152]) ).

cnf(c_0_218,negated_conjecture,
    ( epred29_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_177]) ).

cnf(c_0_219,negated_conjecture,
    ( epred51_0
    | epred50_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_220,negated_conjecture,
    ( epred50_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_154]),c_0_137]),c_0_138]) ).

cnf(c_0_221,negated_conjecture,
    ( epred42_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_180]) ).

cnf(c_0_222,negated_conjecture,
    ( epred27_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_181]) ).

cnf(c_0_223,negated_conjecture,
    ( c3_1(a259)
    | ~ hskp22 ),
    clause43 ).

cnf(c_0_224,negated_conjecture,
    ( ~ c0_1(a259)
    | ~ hskp22 ),
    clause70 ).

cnf(c_0_225,negated_conjecture,
    ( ~ c2_1(a259)
    | ~ hskp22 ),
    clause71 ).

cnf(c_0_226,negated_conjecture,
    ( epred36_0
    | epred23_0
    | hskp13
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_227,negated_conjecture,
    ( epred36_0
    | ~ c0_1(a215)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_184]),c_0_185]) ).

cnf(c_0_228,negated_conjecture,
    ( epred39_0
    | c0_1(a215)
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_185]),c_0_187]) ).

cnf(c_0_229,negated_conjecture,
    ( epred17_0
    | hskp24
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_230,negated_conjecture,
    ( epred10_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_231,negated_conjecture,
    ( epred14_0
    | epred5_0
    | hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_232,negated_conjecture,
    ( epred28_0
    | hskp1
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_114]),c_0_196]),c_0_115]) ).

cnf(c_0_233,negated_conjecture,
    ( epred24_0
    | c3_1(X1)
    | hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_197]),c_0_101])]) ).

cnf(c_0_234,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp15
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_198]),c_0_101])]) ).

cnf(c_0_235,negated_conjecture,
    ( epred9_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_101])]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ c1_1(a191)
    | ~ hskp2 ),
    clause105 ).

cnf(c_0_237,negated_conjecture,
    ( ~ c3_1(a191)
    | ~ hskp2 ),
    clause107 ).

fof(c_0_238,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp1
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_239,negated_conjecture,
    ( epred40_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_200]) ).

cnf(c_0_240,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_101])]) ).

cnf(c_0_241,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_202]) ).

cnf(c_0_242,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_101])]) ).

cnf(c_0_243,negated_conjecture,
    ( c1_1(a197)
    | ~ hskp7 ),
    clause62 ).

cnf(c_0_244,negated_conjecture,
    ( ~ c0_1(a197)
    | ~ hskp7 ),
    clause96 ).

cnf(c_0_245,negated_conjecture,
    ( epred57_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_204]),c_0_101])]) ).

cnf(c_0_246,negated_conjecture,
    ( epred36_0
    | epred18_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_205]) ).

cnf(c_0_247,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_101])]) ).

cnf(c_0_248,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp11
    | hskp9
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause116 ).

cnf(c_0_249,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp3
    | hskp4
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause114 ).

cnf(c_0_250,negated_conjecture,
    ( c3_1(X1)
    | hskp10
    | hskp24
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    clause125 ).

cnf(c_0_251,negated_conjecture,
    ( c3_1(X1)
    | hskp7
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause123 ).

cnf(c_0_252,negated_conjecture,
    ( hskp23
    | hskp5
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause127 ).

cnf(c_0_253,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause126 ).

fof(c_0_254,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_255,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_256,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp5
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause133 ).

cnf(c_0_257,negated_conjecture,
    ( epred35_0
    | epred22_0
    | epred11_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_258,negated_conjecture,
    ( epred31_0
    | c3_1(a194)
    | hskp13
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_133]),c_0_135]) ).

cnf(c_0_259,negated_conjecture,
    ( epred26_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp2
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_101])]) ).

cnf(c_0_260,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a225)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_120]),c_0_118]) ).

cnf(c_0_261,negated_conjecture,
    ( epred21_0
    | hskp19
    | ~ c0_1(a257)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_114]),c_0_115]) ).

cnf(c_0_262,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    clause156 ).

cnf(c_0_263,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause143 ).

cnf(c_0_264,negated_conjecture,
    ( ~ epred43_0
    | ~ epred16_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_213,c_0_212]),c_0_104]),c_0_105]) ).

cnf(c_0_265,negated_conjecture,
    ( epred45_0
    | epred21_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_152]),c_0_215]) ).

cnf(c_0_266,negated_conjecture,
    ( epred45_0
    | epred21_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_152]),c_0_215]) ).

cnf(c_0_267,negated_conjecture,
    ( epred25_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_150]),c_0_120]),c_0_118]) ).

cnf(c_0_268,negated_conjecture,
    ( epred25_0
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_217]),c_0_152]) ).

cnf(c_0_269,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ ndr1_0 ),
    clause113 ).

cnf(c_0_270,negated_conjecture,
    ( ~ c2_1(a191)
    | ~ hskp2 ),
    clause106 ).

cnf(c_0_271,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3) ),
    clause159 ).

cnf(c_0_272,negated_conjecture,
    ( epred29_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_218]),c_0_133]),c_0_135]) ).

cnf(c_0_273,negated_conjecture,
    ( epred51_0
    | epred50_0
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_141]),c_0_220]) ).

cnf(c_0_274,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3) ),
    clause158 ).

cnf(c_0_275,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    clause160 ).

cnf(c_0_276,negated_conjecture,
    ( epred42_0
    | ~ c0_1(a215)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_185]),c_0_187]) ).

cnf(c_0_277,negated_conjecture,
    ( epred27_0
    | c0_1(a215)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_184]),c_0_187]) ).

cnf(c_0_278,negated_conjecture,
    ( epred8_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_279,negated_conjecture,
    ( hskp24
    | hskp22
    | hskp2 ),
    clause31 ).

cnf(c_0_280,negated_conjecture,
    ( c2_1(a230)
    | ~ hskp25 ),
    clause36 ).

cnf(c_0_281,negated_conjecture,
    ( c1_1(a189)
    | ~ hskp23 ),
    clause41 ).

cnf(c_0_282,negated_conjecture,
    ( c0_1(a189)
    | ~ hskp23 ),
    clause40 ).

cnf(c_0_283,negated_conjecture,
    ( c3_1(a189)
    | ~ hskp23 ),
    clause42 ).

fof(c_0_284,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_285,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_286,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_287,negated_conjecture,
    ( epred36_0
    | epred23_0
    | hskp2
    | hskp13
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_226,c_0_97]) ).

cnf(c_0_288,negated_conjecture,
    ( epred39_0
    | epred36_0
    | hskp7
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_289,negated_conjecture,
    ( epred22_0
    | epred17_0
    | hskp15
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_229,c_0_168]) ).

cnf(c_0_290,negated_conjecture,
    ( epred14_0
    | epred10_0
    | epred5_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_291,negated_conjecture,
    ( epred28_0
    | hskp1
    | hskp5
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_232,c_0_141]) ).

cnf(c_0_292,negated_conjecture,
    ( epred24_0
    | c3_1(a230)
    | hskp2
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_156]),c_0_157]) ).

cnf(c_0_293,negated_conjecture,
    ( epred9_0
    | epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_294,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_107]) ).

cnf(c_0_295,negated_conjecture,
    ( c0_1(a191)
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_107]),c_0_237]) ).

cnf(c_0_296,negated_conjecture,
    ( epred13_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp1
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_238]),c_0_101])]) ).

cnf(c_0_297,negated_conjecture,
    ( epred40_0
    | epred22_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_113]) ).

cnf(c_0_298,negated_conjecture,
    ( epred38_0
    | epred14_0
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_162]) ).

cnf(c_0_299,negated_conjecture,
    ( epred27_0
    | epred22_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_222,c_0_113]) ).

cnf(c_0_300,negated_conjecture,
    ( epred22_0
    | epred12_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_113]) ).

cnf(c_0_301,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp15
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_234,c_0_242]) ).

cnf(c_0_302,negated_conjecture,
    ( epred12_0
    | c3_1(a197)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_243]),c_0_244]) ).

cnf(c_0_303,negated_conjecture,
    ( epred57_0
    | epred24_0
    | c3_1(X1)
    | hskp2
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_233,c_0_245]) ).

cnf(c_0_304,negated_conjecture,
    ( epred57_0
    | epred23_0
    | c3_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_245]) ).

cnf(c_0_305,negated_conjecture,
    ( epred49_0
    | epred36_0
    | epred18_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_306,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp9
    | hskp11
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_101])]) ).

cnf(c_0_307,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp3
    | hskp4
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_101])]) ).

cnf(c_0_308,negated_conjecture,
    ( c3_1(X1)
    | hskp10
    | hskp24
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_101])]) ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(X1)
    | hskp4
    | hskp7
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_101])]) ).

cnf(c_0_310,negated_conjecture,
    ( c1_1(a192)
    | ~ hskp3 ),
    clause67 ).

cnf(c_0_311,negated_conjecture,
    ( hskp5
    | hskp23
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_101])]) ).

cnf(c_0_312,negated_conjecture,
    ( c3_1(a200)
    | ~ hskp10 ),
    clause58 ).

cnf(c_0_313,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_101])]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ c1_1(a195)
    | ~ hskp6 ),
    clause98 ).

cnf(c_0_315,negated_conjecture,
    ( ~ c3_1(a202)
    | ~ hskp11 ),
    clause91 ).

cnf(c_0_316,negated_conjecture,
    ( epred47_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_101])]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ c1_1(a200)
    | ~ hskp10 ),
    clause92 ).

cnf(c_0_318,negated_conjecture,
    ( epred44_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_101])]) ).

cnf(c_0_319,negated_conjecture,
    ( epred43_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_101])]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_256,c_0_111]),c_0_202]) ).

cnf(c_0_321,negated_conjecture,
    ( epred45_0
    | epred35_0
    | epred22_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_257]) ).

cnf(c_0_322,negated_conjecture,
    ( epred31_0
    | epred14_0
    | hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_193,c_0_258]) ).

cnf(c_0_323,negated_conjecture,
    ( epred26_0
    | hskp2
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_324,negated_conjecture,
    ( epred8_0
    | epred6_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_260,c_0_143]) ).

cnf(c_0_325,negated_conjecture,
    ( epred21_0
    | hskp19
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_196]),c_0_172]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ epred47_0
    | ~ epred22_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_262,c_0_254]),c_0_102]),c_0_104]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_263,c_0_121]),c_0_102]) ).

cnf(c_0_328,negated_conjecture,
    ( epred45_0
    | epred21_0
    | ~ epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).

cnf(c_0_329,negated_conjecture,
    ( epred25_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_172]),c_0_268]) ).

cnf(c_0_330,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_101])]) ).

cnf(c_0_331,negated_conjecture,
    ( epred29_0
    | ~ c0_1(a191)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_218]),c_0_270]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ epred49_0
    | ~ epred40_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_206]),c_0_177]),c_0_200]) ).

cnf(c_0_333,negated_conjecture,
    ( epred51_0
    | epred50_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_274,c_0_206]),c_0_127]),c_0_200]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ epred51_0
    | ~ epred49_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_275,c_0_206]),c_0_126]),c_0_200]) ).

cnf(c_0_336,negated_conjecture,
    ( epred42_0
    | epred27_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_337,negated_conjecture,
    ( epred8_0
    | hskp2
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_338,negated_conjecture,
    ( epred10_0
    | c0_1(a215)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_184]),c_0_185]) ).

cnf(c_0_339,negated_conjecture,
    ( c0_1(a200)
    | ~ hskp10 ),
    clause57 ).

cnf(c_0_340,negated_conjecture,
    ( epred40_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_156]),c_0_157]),c_0_280]) ).

cnf(c_0_341,negated_conjecture,
    ( epred5_0
    | hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_163]),c_0_270]),c_0_237]) ).

cnf(c_0_342,negated_conjecture,
    ( epred36_0
    | epred27_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_227,c_0_277]) ).

cnf(c_0_343,negated_conjecture,
    ( epred36_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_281]),c_0_282]),c_0_283]) ).

cnf(c_0_344,negated_conjecture,
    ( hskp23
    | hskp9
    | hskp2 ),
    clause28 ).

cnf(c_0_345,negated_conjecture,
    ( epred32_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_284]) ).

cnf(c_0_346,negated_conjecture,
    ( c1_1(a193)
    | ~ hskp4 ),
    clause65 ).

cnf(c_0_347,negated_conjecture,
    ( ~ c0_1(a193)
    | ~ hskp4 ),
    clause102 ).

cnf(c_0_348,negated_conjecture,
    ( ~ c3_1(a193)
    | ~ hskp4 ),
    clause103 ).

cnf(c_0_349,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_285]) ).

cnf(c_0_350,negated_conjecture,
    ( epred2_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_286]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ c2_1(a197)
    | ~ hskp7 ),
    clause97 ).

cnf(c_0_352,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_241,c_0_107]) ).

cnf(c_0_353,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    clause163 ).

cnf(c_0_354,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    clause155 ).

cnf(c_0_355,negated_conjecture,
    ( c0_1(X2)
    | hskp7
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    clause153 ).

cnf(c_0_356,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause145 ).

cnf(c_0_357,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause148 ).

cnf(c_0_358,negated_conjecture,
    ( c2_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause149 ).

cnf(c_0_359,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause140 ).

cnf(c_0_360,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    clause138 ).

cnf(c_0_361,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp2
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause137 ).

cnf(c_0_362,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp13
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause141 ).

cnf(c_0_363,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp24
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause139 ).

cnf(c_0_364,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp1
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    clause136 ).

cnf(c_0_365,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | hskp10
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    clause134 ).

cnf(c_0_366,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | hskp13
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    clause135 ).

cnf(c_0_367,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | hskp15
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause130 ).

cnf(c_0_368,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X2)
    | hskp23
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause129 ).

cnf(c_0_369,negated_conjecture,
    ( epred10_0
    | epred36_0
    | epred23_0
    | hskp2
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_230,c_0_287]) ).

cnf(c_0_370,negated_conjecture,
    ( epred39_0
    | epred36_0
    | hskp7
    | epred22_0
    | epred17_0
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_371,negated_conjecture,
    ( epred14_0
    | epred10_0
    | epred5_0
    | epred28_0
    | hskp1
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_372,negated_conjecture,
    ( epred42_0
    | epred24_0
    | hskp2
    | ~ c2_1(a230)
    | ~ c0_1(a230)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_221,c_0_292]) ).

cnf(c_0_373,negated_conjecture,
    ( epred42_0
    | epred23_0
    | hskp13
    | ~ c2_1(a230)
    | ~ c0_1(a230)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_221,c_0_183]) ).

cnf(c_0_374,negated_conjecture,
    ( epred9_0
    | epred3_0
    | c2_1(a191)
    | hskp10
    | hskp15
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_293]) ).

cnf(c_0_375,negated_conjecture,
    ( epred27_0
    | c3_1(a214)
    | c0_1(a214)
    | hskp1
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_294,c_0_137]) ).

cnf(c_0_376,negated_conjecture,
    ( epred6_0
    | c0_1(a199)
    | hskp1
    | ~ c2_1(a199) ),
    inference(spm,[status(thm)],[c_0_211,c_0_176]) ).

cnf(c_0_377,negated_conjecture,
    ( epred31_0
    | c3_1(a191)
    | c2_1(a191)
    | hskp13
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_209,c_0_295]) ).

cnf(c_0_378,negated_conjecture,
    ( epred13_0
    | c3_1(a191)
    | c2_1(a191)
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_296,c_0_295]) ).

cnf(c_0_379,negated_conjecture,
    ( epred40_0
    | epred22_0
    | ~ hskp1
    | ~ c2_1(a190)
    | ~ c0_1(a190) ),
    inference(spm,[status(thm)],[c_0_147,c_0_297]) ).

cnf(c_0_380,negated_conjecture,
    ( epred38_0
    | epred14_0
    | c2_1(a194)
    | hskp0
    | epred5_0
    | hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_298,c_0_194]) ).

cnf(c_0_381,negated_conjecture,
    ( epred27_0
    | epred22_0
    | c0_1(a214)
    | ~ hskp15
    | ~ c2_1(a214) ),
    inference(spm,[status(thm)],[c_0_139,c_0_299]) ).

cnf(c_0_382,negated_conjecture,
    ( epred22_0
    | epred12_0
    | c0_1(a214)
    | ~ hskp15
    | ~ c2_1(a214) ),
    inference(spm,[status(thm)],[c_0_139,c_0_300]) ).

cnf(c_0_383,negated_conjecture,
    ( epred3_0
    | epred1_0
    | c2_1(a191)
    | c0_1(a191)
    | hskp15
    | hskp23
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_301]) ).

cnf(c_0_384,negated_conjecture,
    ( epred14_0
    | epred49_0
    | c2_1(a194)
    | ~ hskp5
    | ~ c0_1(a194) ),
    inference(spm,[status(thm)],[c_0_193,c_0_247]) ).

cnf(c_0_385,negated_conjecture,
    ( epred8_0
    | c2_1(a197)
    | c0_1(a197)
    | epred12_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_119,c_0_302]) ).

cnf(c_0_386,negated_conjecture,
    ( epred57_0
    | epred24_0
    | c3_1(a190)
    | hskp2
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_303,c_0_146]) ).

cnf(c_0_387,negated_conjecture,
    ( epred57_0
    | epred23_0
    | c3_1(a190)
    | hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_304,c_0_146]) ).

cnf(c_0_388,negated_conjecture,
    ( epred49_0
    | epred36_0
    | epred18_0
    | ~ hskp5
    | ~ c0_1(a194) ),
    inference(spm,[status(thm)],[c_0_135,c_0_305]) ).

cnf(c_0_389,negated_conjecture,
    ( c3_1(a214)
    | c0_1(a214)
    | hskp9
    | hskp11
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_306,c_0_137]) ).

cnf(c_0_390,negated_conjecture,
    ( c1_1(a225)
    | c0_1(a225)
    | hskp3
    | hskp4
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_307,c_0_120]) ).

cnf(c_0_391,negated_conjecture,
    ( c3_1(a190)
    | hskp10
    | hskp24
    | ~ c0_1(a190)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_308,c_0_145]) ).

cnf(c_0_392,negated_conjecture,
    ( c3_1(a192)
    | hskp4
    | hskp7
    | ~ c0_1(a192)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_393,negated_conjecture,
    ( hskp5
    | hskp23
    | ~ c2_1(a200)
    | ~ c0_1(a200)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_394,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ c3_1(a230)
    | ~ c0_1(a230)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_313,c_0_156]) ).

cnf(c_0_395,negated_conjecture,
    ( epred57_0
    | c3_1(a195)
    | ~ hskp6
    | ~ c0_1(a195) ),
    inference(spm,[status(thm)],[c_0_314,c_0_245]) ).

cnf(c_0_396,negated_conjecture,
    ( epred49_0
    | c2_1(a202)
    | ~ hskp11
    | ~ c0_1(a202) ),
    inference(spm,[status(thm)],[c_0_315,c_0_247]) ).

cnf(c_0_397,negated_conjecture,
    ( epred49_0
    | c2_1(a191)
    | ~ hskp2
    | ~ c0_1(a191) ),
    inference(spm,[status(thm)],[c_0_237,c_0_247]) ).

cnf(c_0_398,negated_conjecture,
    ( epred47_0
    | ~ hskp1
    | ~ c2_1(a190)
    | ~ c0_1(a190) ),
    inference(spm,[status(thm)],[c_0_147,c_0_316]) ).

cnf(c_0_399,negated_conjecture,
    ( epred44_0
    | c2_1(a200)
    | ~ hskp10
    | ~ c0_1(a200) ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_400,negated_conjecture,
    ( epred44_0
    | c2_1(a194)
    | ~ hskp5
    | ~ c0_1(a194) ),
    inference(spm,[status(thm)],[c_0_134,c_0_318]) ).

cnf(c_0_401,negated_conjecture,
    ( epred44_0
    | c2_1(a191)
    | ~ hskp2
    | ~ c0_1(a191) ),
    inference(spm,[status(thm)],[c_0_236,c_0_318]) ).

cnf(c_0_402,negated_conjecture,
    ( epred43_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_319]),c_0_270]),c_0_237]) ).

cnf(c_0_403,negated_conjecture,
    ( epred45_0
    | epred35_0
    | epred22_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_404,negated_conjecture,
    ( epred31_0
    | epred14_0
    | epred10_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_230,c_0_322]) ).

cnf(c_0_405,negated_conjecture,
    ( epred26_0
    | epred11_0
    | hskp2
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_323,c_0_167]) ).

cnf(c_0_406,negated_conjecture,
    ( epred36_0
    | epred24_0
    | hskp2
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_182,c_0_292]) ).

cnf(c_0_407,negated_conjecture,
    ( epred21_0
    | epred8_0
    | epred6_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_408,negated_conjecture,
    ( epred45_0
    | ~ epred47_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_265]),c_0_327]) ).

cnf(c_0_409,negated_conjecture,
    ( epred45_0
    | ~ epred43_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_410,negated_conjecture,
    ( epred25_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_329]) ).

cnf(c_0_411,negated_conjecture,
    ( c0_1(a191)
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_330]),c_0_270]) ).

cnf(c_0_412,negated_conjecture,
    ( epred29_0
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_331,c_0_295]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ epred49_0
    | ~ epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]),c_0_335]) ).

cnf(c_0_414,negated_conjecture,
    ( epred42_0
    | epred27_0
    | epred8_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_415,negated_conjecture,
    ( epred42_0
    | epred10_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_276,c_0_338]) ).

cnf(c_0_416,negated_conjecture,
    ( epred42_0
    | ~ c2_1(a200)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_312]),c_0_339]) ).

cnf(c_0_417,negated_conjecture,
    ( epred40_0
    | hskp2
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_340,c_0_97]) ).

cnf(c_0_418,negated_conjecture,
    ( epred10_0
    | epred5_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_230,c_0_341]) ).

cnf(c_0_419,negated_conjecture,
    ( epred36_0
    | epred27_0
    | epred8_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_342,c_0_337]) ).

cnf(c_0_420,negated_conjecture,
    ( epred36_0
    | epred10_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_227,c_0_338]) ).

cnf(c_0_421,negated_conjecture,
    ( epred36_0
    | hskp2
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_422,negated_conjecture,
    ( epred32_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_184]),c_0_187]),c_0_185]) ).

cnf(c_0_423,negated_conjecture,
    ( epred18_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_205]),c_0_339]),c_0_312]) ).

cnf(c_0_424,negated_conjecture,
    ( epred12_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_425,negated_conjecture,
    ( epred4_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_349]),c_0_270]),c_0_237]) ).

cnf(c_0_426,negated_conjecture,
    ( epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_243]),c_0_244]),c_0_351]) ).

cnf(c_0_427,negated_conjecture,
    ( epred12_0
    | hskp1
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_352]),c_0_138]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ epred57_0
    | ~ epred42_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_353,c_0_204]),c_0_128]),c_0_180]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_354,c_0_255]),c_0_103]),c_0_161]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ epred40_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_355,c_0_159]),c_0_200]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ epred38_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_201]),c_0_181]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ epred36_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_110]),c_0_128]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_169]),c_0_284]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_164]),c_0_177]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_210]),c_0_181]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_197]),c_0_123]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ epred23_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_129]),c_0_130]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_160]),c_0_165]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_364,c_0_238]),c_0_130]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_365,c_0_199]),c_0_161]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_366,c_0_131]),c_0_170]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_198]),c_0_285]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_368,c_0_203]),c_0_286]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ c3_1(a192)
    | ~ hskp3 ),
    clause104 ).

cnf(c_0_445,negated_conjecture,
    ( ~ c3_1(a195)
    | ~ hskp6 ),
    clause99 ).

cnf(c_0_446,negated_conjecture,
    ( ~ c2_1(a202)
    | ~ hskp11 ),
    clause90 ).

cnf(c_0_447,negated_conjecture,
    ( c0_1(a192)
    | ~ hskp3 ),
    clause66 ).

cnf(c_0_448,negated_conjecture,
    ( c0_1(a195)
    | ~ hskp6 ),
    clause63 ).

cnf(c_0_449,negated_conjecture,
    ( c0_1(a202)
    | ~ hskp11 ),
    clause56 ).

cnf(c_0_450,plain,
    $false,
    inference(cdclpropres,[status(thm)],[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_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_388,c_0_389,c_0_390,c_0_391,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_208,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_172,c_0_268,c_0_229,c_0_167,c_0_411,c_0_412,c_0_295,c_0_152,c_0_124,c_0_413,c_0_215,c_0_414,c_0_415,c_0_416,c_0_417,c_0_418,c_0_419,c_0_420,c_0_421,c_0_343,c_0_422,c_0_168,c_0_423,c_0_424,c_0_230,c_0_425,c_0_426,c_0_233,c_0_427,c_0_428,c_0_326,c_0_429,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_327,c_0_438,c_0_439,c_0_320,c_0_440,c_0_441,c_0_442,c_0_443,c_0_147,c_0_237,c_0_270,c_0_444,c_0_135,c_0_445,c_0_351,c_0_244,c_0_151,c_0_446,c_0_139,c_0_138,c_0_116,c_0_118,c_0_145,c_0_173,c_0_137,c_0_280,c_0_156,c_0_146,c_0_447,c_0_133,c_0_448,c_0_339,c_0_449,c_0_157,c_0_141,c_0_97]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN459-1 : 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
% 0.13/0.34  % Computer : n016.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 22:01:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 1.72/1.81  % Version  : CSE_E---1.5
% 1.72/1.81  % Problem  : theBenchmark.p
% 1.72/1.81  % Proof found
% 1.72/1.81  % SZS status Theorem for theBenchmark.p
% 1.72/1.81  % SZS output start Proof
% See solution above
% 1.72/1.83  % Total time : 1.235000 s
% 1.72/1.83  % SZS output end Proof
% 1.72/1.83  % Total time : 1.240000 s
%------------------------------------------------------------------------------