TSTP Solution File: SYN503-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN503-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 May  3 03:31:17 EDT 2024

% Result   : Unsatisfiable 4.04s 1.11s
% Output   : CNFRefutation 4.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  136
% Syntax   : Number of clauses     :  399 (   2 unt; 244 nHn; 375 RR)
%            Number of literals    : 1759 (   0 equ; 899 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   63 (  62 usr;  59 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  277 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp3
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(c_50,negated_conjecture,
    ( hskp25
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(c_68,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

cnf(c_79,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(c_80,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(c_81,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_82,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_83,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(c_85,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(c_86,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp28
    | c0_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp28
    | c1_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp28
    | c2_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp27
    | c1_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp27
    | c2_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp27
    | c3_1(a261) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp26
    | c0_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp26
    | c1_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp26
    | c3_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp25
    | c2_1(a320) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp25
    | c3_1(a320) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp23
    | c1_1(a274) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp21
    | c0_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp21
    | c3_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp20
    | c0_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp20
    | c1_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(c_108,negated_conjecture,
    ( ~ hskp18
    | c0_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp18
    | c2_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp17
    | c1_1(a248) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp17
    | c3_1(a248) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp16
    | c0_1(a245) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp15
    | c1_1(a242) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp13
    | c2_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp13
    | c3_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp12
    | c0_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp12
    | c2_1(a237) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp11
    | c0_1(a236) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp10
    | c1_1(a231) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp10
    | c3_1(a231) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp9
    | c0_1(a226) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp8
    | c3_1(a225) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp7
    | c1_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp7
    | c2_1(a223) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp6
    | c1_1(a220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp6
    | c2_1(a220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp5
    | c3_1(a218) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp3
    | c0_1(a216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp3
    | c1_1(a216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp2
    | c2_1(a215) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp1
    | c2_1(a214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp0
    | c2_1(a213) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(c_134,negated_conjecture,
    ( ~ c0_1(a320)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(c_137,negated_conjecture,
    ( ~ c0_1(a274)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c3_1(a274)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ c0_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ c1_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ c2_1(a271)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a259)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c3_1(a257)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c0_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(c_145,negated_conjecture,
    ( ~ c1_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(c_146,negated_conjecture,
    ( ~ c3_1(a255)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(c_147,negated_conjecture,
    ( ~ c1_1(a252)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(c_148,negated_conjecture,
    ( ~ c2_1(a248)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c1_1(a245)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(c_150,negated_conjecture,
    ( ~ c3_1(a245)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c0_1(a242)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c2_1(a242)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(c_156,negated_conjecture,
    ( ~ c3_1(a237)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a236)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c3_1(a236)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c0_1(a231)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c1_1(a226)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a226)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c0_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c2_1(a225)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c0_1(a223)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a220)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a218)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ c2_1(a218)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c1_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c3_1(a217)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c2_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c0_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c1_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(c_183,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(c_184,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp27
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(c_187,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp8
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(c_189,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(c_192,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

cnf(c_194,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp17
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(c_195,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp3
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(c_201,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp7
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(c_205,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(c_206,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(c_207,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(c_211,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(c_212,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_213,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(c_219,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(c_223,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(c_228,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(c_229,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(c_230,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(c_232,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X1)
    | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

cnf(c_233,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

cnf(c_236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

cnf(c_237,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

cnf(c_239,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

cnf(c_240,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

cnf(c_243,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

cnf(c_244,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

cnf(c_245,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

cnf(c_246,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

cnf(c_247,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

cnf(c_248,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

cnf(c_281,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_80,c_87,c_80,c_79,c_68]) ).

cnf(c_341,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_87,c_80,c_79,c_68,c_178]) ).

cnf(c_344,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp27
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_87,c_80,c_79,c_68,c_184]) ).

cnf(c_347,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_87,c_80,c_79,c_68,c_183]) ).

cnf(c_359,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_87,c_80,c_79,c_68,c_179]) ).

cnf(c_362,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_87,c_80,c_79,c_68,c_192]) ).

cnf(c_365,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_87,c_80,c_79,c_68,c_191]) ).

cnf(c_368,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_87,c_80,c_79,c_68,c_190]) ).

cnf(c_371,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_87,c_80,c_79,c_68,c_189]) ).

cnf(c_377,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp8
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_87,c_80,c_79,c_68,c_187]) ).

cnf(c_383,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_87,c_80,c_79,c_68,c_185]) ).

cnf(c_386,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_87,c_80,c_79,c_68,c_201]) ).

cnf(c_387,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp6 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_404,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_87,c_80,c_79,c_68,c_195]) ).

cnf(c_405,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp6 ),
    inference(renaming,[status(thm)],[c_404]) ).

cnf(c_407,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_87,c_80,c_79,c_68,c_194]) ).

cnf(c_408,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp10 ),
    inference(renaming,[status(thm)],[c_407]) ).

cnf(c_422,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_87,c_80,c_79,c_68,c_206]) ).

cnf(c_424,negated_conjecture,
    ( ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_87,c_80,c_79,c_68,c_205]) ).

cnf(c_432,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_87,c_80,c_79,c_68,c_207]) ).

cnf(c_433,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_439,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_87,c_80,c_79,c_68,c_223]) ).

cnf(c_440,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_445,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_87,c_80,c_79,c_68,c_220]) ).

cnf(c_446,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_447,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_87,c_80,c_79,c_68,c_219]) ).

cnf(c_448,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_451,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_87,c_80,c_79,c_68,c_217]) ).

cnf(c_452,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_460,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_87,c_80,c_79,c_68,c_213]) ).

cnf(c_461,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_460]) ).

cnf(c_462,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_87,c_80,c_79,c_68,c_212]) ).

cnf(c_463,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_462]) ).

cnf(c_464,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_87,c_80,c_79,c_68,c_211]) ).

cnf(c_465,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_464]) ).

cnf(c_466,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_87,c_80,c_79,c_68,c_233]) ).

cnf(c_467,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_468,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_87,c_80,c_79,c_68,c_232]) ).

cnf(c_469,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_468]) ).

cnf(c_470,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_87,c_80,c_79,c_68,c_231]) ).

cnf(c_471,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_472,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_87,c_80,c_79,c_68,c_230]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_475,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_87,c_80,c_79,c_68,c_229]) ).

cnf(c_476,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_477,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_87,c_80,c_79,c_68,c_228]) ).

cnf(c_478,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_481,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_87,c_80,c_79,c_68,c_226]) ).

cnf(c_482,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_87,c_80,c_79,c_68,c_234]) ).

cnf(c_484,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_87,c_80,c_79,c_68,c_236]) ).

cnf(c_486,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_488,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_87,c_80,c_79,c_68,c_235]) ).

cnf(c_489,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_490,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_87,c_80,c_79,c_68,c_239]) ).

cnf(c_491,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_490]) ).

cnf(c_492,plain,
    ( ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_87,c_80,c_79,c_68,c_238]) ).

cnf(c_493,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_492]) ).

cnf(c_494,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_87,c_80,c_79,c_68,c_237]) ).

cnf(c_495,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_494]) ).

cnf(c_498,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_87,c_80,c_79,c_68,c_240]) ).

cnf(c_499,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_498]) ).

cnf(c_500,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_87,c_80,c_79,c_68,c_245]) ).

cnf(c_501,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_500]) ).

cnf(c_502,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_87,c_80,c_79,c_68,c_244]) ).

cnf(c_503,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_502]) ).

cnf(c_504,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_243,c_281]) ).

cnf(c_505,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_504]) ).

cnf(c_506,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_87,c_80,c_79,c_68,c_242]) ).

cnf(c_507,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_506]) ).

cnf(c_508,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_87,c_80,c_79,c_68,c_247]) ).

cnf(c_509,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X1)
    | c3_1(X0) ),
    inference(renaming,[status(thm)],[c_508]) ).

cnf(c_510,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_87,c_80,c_79,c_68,c_246]) ).

cnf(c_511,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_510]) ).

cnf(c_512,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248,c_87,c_80,c_79,c_68,c_248]) ).

cnf(c_513,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_1861,plain,
    ( ~ c0_1(a320)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_50,c_134]) ).

cnf(c_1868,plain,
    ( c3_1(a320)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_50,c_101]) ).

cnf(c_1875,plain,
    ( c2_1(a320)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_50,c_100]) ).

cnf(c_2273,plain,
    ( c3_1(a239)
    | hskp16
    | hskp12 ),
    inference(resolution,[status(thm)],[c_86,c_116]) ).

cnf(c_2283,plain,
    ( c2_1(a239)
    | hskp16
    | hskp12 ),
    inference(resolution,[status(thm)],[c_86,c_115]) ).

cnf(c_2515,plain,
    ( ~ c3_1(a236)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_158]) ).

cnf(c_2525,plain,
    ( ~ c2_1(a236)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_157]) ).

cnf(c_2535,plain,
    ( c0_1(a236)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_119]) ).

cnf(c_3388,plain,
    ( ~ c3_1(a245)
    | hskp3 ),
    inference(resolution,[status(thm)],[c_49,c_150]) ).

cnf(c_3395,plain,
    ( ~ c1_1(a245)
    | hskp3 ),
    inference(resolution,[status(thm)],[c_49,c_149]) ).

cnf(c_3402,plain,
    ( c0_1(a245)
    | hskp3 ),
    inference(resolution,[status(thm)],[c_49,c_112]) ).

cnf(c_3799,plain,
    ( ~ c2_1(a271)
    | hskp18
    | hskp9 ),
    inference(resolution,[status(thm)],[c_84,c_141]) ).

cnf(c_3809,plain,
    ( ~ c1_1(a271)
    | hskp18
    | hskp9 ),
    inference(resolution,[status(thm)],[c_84,c_140]) ).

cnf(c_3819,plain,
    ( ~ c0_1(a271)
    | hskp18
    | hskp9 ),
    inference(resolution,[status(thm)],[c_84,c_139]) ).

cnf(c_4252,plain,
    ( c3_1(a261)
    | hskp18
    | hskp17 ),
    inference(resolution,[status(thm)],[c_85,c_96]) ).

cnf(c_4262,plain,
    ( c2_1(a261)
    | hskp18
    | hskp17 ),
    inference(resolution,[status(thm)],[c_85,c_95]) ).

cnf(c_4272,plain,
    ( c1_1(a261)
    | hskp18
    | hskp17 ),
    inference(resolution,[status(thm)],[c_85,c_94]) ).

cnf(c_5383,plain,
    ( ~ c3_1(a217)
    | hskp23
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_170]) ).

cnf(c_5393,plain,
    ( ~ c2_1(a217)
    | hskp23
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_169]) ).

cnf(c_5403,plain,
    ( ~ c1_1(a217)
    | hskp23
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_168]) ).

cnf(c_5692,plain,
    ( ~ c1_1(a215)
    | hskp20
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_173]) ).

cnf(c_5702,plain,
    ( ~ c0_1(a215)
    | hskp20
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_172]) ).

cnf(c_5712,plain,
    ( c2_1(a215)
    | hskp20
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_131]) ).

cnf(c_9010,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_513]) ).

cnf(c_9011,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_513]) ).

cnf(c_9012,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_513]) ).

cnf(c_9013,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

cnf(c_9014,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_511]) ).

cnf(c_9015,negated_conjecture,
    ( sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

cnf(c_9016,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_509]) ).

cnf(c_9017,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_509]) ).

cnf(c_9018,negated_conjecture,
    ( sP1_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

cnf(c_9019,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_507]) ).

cnf(c_9020,negated_conjecture,
    ( sP2_iProver_def
    | sP3_iProver_def
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

cnf(c_9021,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_505]) ).

cnf(c_9022,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_505]) ).

cnf(c_9023,negated_conjecture,
    ( sP2_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

cnf(c_9024,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_503]) ).

cnf(c_9025,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_503]) ).

cnf(c_9026,negated_conjecture,
    ( sP1_iProver_def
    | sP9_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

cnf(c_9027,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_501]) ).

cnf(c_9028,negated_conjecture,
    ( sP2_iProver_def
    | sP5_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

cnf(c_9029,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_499]) ).

cnf(c_9030,negated_conjecture,
    ( sP1_iProver_def
    | sP3_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

cnf(c_9033,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_495]) ).

cnf(c_9034,negated_conjecture,
    ( sP3_iProver_def
    | sP5_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_495]) ).

cnf(c_9035,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_493]) ).

cnf(c_9036,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_493]) ).

cnf(c_9037,negated_conjecture,
    ( sP8_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

cnf(c_9038,negated_conjecture,
    ( sP6_iProver_def
    | sP8_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

cnf(c_9039,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_489]) ).

cnf(c_9040,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_489]) ).

cnf(c_9041,negated_conjecture,
    ( sP10_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

cnf(c_9042,negated_conjecture,
    ( hskp22
    | sP0_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_9043,negated_conjecture,
    ( hskp28
    | sP1_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_9044,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_482]) ).

cnf(c_9045,negated_conjecture,
    ( hskp5
    | sP3_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_9047,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_478]) ).

cnf(c_9049,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_476]) ).

cnf(c_9050,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_476]) ).

cnf(c_9051,negated_conjecture,
    ( hskp9
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_9052,negated_conjecture,
    ( hskp18
    | sP15_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_9053,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_471]) ).

cnf(c_9054,negated_conjecture,
    ( hskp22
    | sP4_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_9055,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_469]) ).

cnf(c_9056,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_469]) ).

cnf(c_9057,negated_conjecture,
    ( hskp18
    | sP24_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

cnf(c_9058,negated_conjecture,
    ( hskp28
    | sP11_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_9059,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_465]) ).

cnf(c_9061,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_463]) ).

cnf(c_9062,negated_conjecture,
    ( hskp10
    | sP20_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

cnf(c_9063,negated_conjecture,
    ( hskp26
    | sP9_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

cnf(c_9067,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_452]) ).

cnf(c_9068,negated_conjecture,
    ( hskp10
    | sP23_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_9070,negated_conjecture,
    ( hskp15
    | sP14_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_9071,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_def])],[c_446]) ).

cnf(c_9072,negated_conjecture,
    ( hskp26
    | sP20_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_9075,negated_conjecture,
    ( hskp19
    | sP7_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_9078,negated_conjecture,
    ( hskp9
    | sP7_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_9082,negated_conjecture,
    ( hskp1
    | sP26_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_9083,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_422]) ).

cnf(c_9084,negated_conjecture,
    ( hskp8
    | sP11_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_9089,negated_conjecture,
    ( hskp17
    | hskp10
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_408]) ).

cnf(c_9090,negated_conjecture,
    ( hskp3
    | hskp6
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_9096,negated_conjecture,
    ( hskp7
    | hskp6
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_9097,negated_conjecture,
    ( hskp3
    | hskp6
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_9100,negated_conjecture,
    ( hskp8
    | hskp1
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_9102,negated_conjecture,
    ( hskp19
    | hskp18
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_9103,negated_conjecture,
    ( hskp17
    | hskp12
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

cnf(c_9104,negated_conjecture,
    ( hskp21
    | hskp12
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

cnf(c_9105,negated_conjecture,
    ( hskp26
    | hskp9
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_9106,negated_conjecture,
    ( hskp3
    | hskp4
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

cnf(c_9110,negated_conjecture,
    ( hskp19
    | hskp21
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

cnf(c_9111,negated_conjecture,
    ( hskp27
    | hskp2
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_9116,plain,
    ( ~ c2_1(a213)
    | ~ sP3_iProver_def
    | c0_1(a213)
    | c1_1(a213) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9117,plain,
    ( ~ c2_1(a213)
    | ~ sP8_iProver_def
    | c3_1(a213)
    | c1_1(a213) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9118,plain,
    ( ~ c0_1(a213)
    | ~ sP10_iProver_def
    | c3_1(a213)
    | c1_1(a213) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9126,plain,
    ( ~ c2_1(a213)
    | ~ sP28_iProver_def
    | c0_1(a213)
    | c3_1(a213) ),
    inference(instantiation,[status(thm)],[c_9067]) ).

cnf(c_9146,plain,
    ( ~ c0_1(a282)
    | ~ c1_1(a282)
    | ~ sP5_iProver_def
    | c3_1(a282) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

cnf(c_9147,plain,
    ( ~ c0_1(a282)
    | ~ c2_1(a282)
    | ~ c3_1(a282)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9012]) ).

cnf(c_9148,plain,
    ( ~ c0_1(a282)
    | ~ c2_1(a282)
    | ~ c1_1(a282)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_9010]) ).

cnf(c_9150,plain,
    ( ~ c0_1(a234)
    | ~ c3_1(a234)
    | ~ c1_1(a234)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_9044]) ).

cnf(c_9152,plain,
    ( ~ c0_1(a234)
    | ~ c2_1(a234)
    | ~ c3_1(a234)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9012]) ).

cnf(c_9156,plain,
    ( ~ c2_1(a234)
    | ~ c3_1(a234)
    | ~ c1_1(a234)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9159,plain,
    ( ~ c0_1(a252)
    | ~ c1_1(a252)
    | ~ sP5_iProver_def
    | c3_1(a252) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

cnf(c_9160,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ c3_1(a252)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9012]) ).

cnf(c_9162,plain,
    ( ~ c3_1(a248)
    | ~ c1_1(a248)
    | ~ sP21_iProver_def
    | c0_1(a248) ),
    inference(instantiation,[status(thm)],[c_9049]) ).

cnf(c_9168,plain,
    ( ~ c0_1(a237)
    | ~ c2_1(a237)
    | ~ sP25_iProver_def
    | c3_1(a237) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

cnf(c_9170,plain,
    ( ~ c0_1(a237)
    | ~ c1_1(a237)
    | ~ sP5_iProver_def
    | c3_1(a237) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

cnf(c_9178,plain,
    ( ~ c3_1(a231)
    | ~ c1_1(a231)
    | ~ sP21_iProver_def
    | c0_1(a231) ),
    inference(instantiation,[status(thm)],[c_9049]) ).

cnf(c_9179,plain,
    ( ~ c2_1(a231)
    | ~ c3_1(a231)
    | ~ sP7_iProver_def
    | c0_1(a231) ),
    inference(instantiation,[status(thm)],[c_9021]) ).

cnf(c_9180,plain,
    ( ~ c2_1(a231)
    | ~ c3_1(a231)
    | ~ c1_1(a231)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9193,plain,
    ( ~ c0_1(a216)
    | ~ c3_1(a216)
    | ~ c1_1(a216)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_9044]) ).

cnf(c_9206,plain,
    ( c0_1(a271)
    | c2_1(a271)
    | c1_1(a271)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_341]) ).

cnf(c_9210,plain,
    ( ~ sP17_iProver_def
    | c0_1(a271)
    | c2_1(a271)
    | c3_1(a271) ),
    inference(instantiation,[status(thm)],[c_9039]) ).

cnf(c_9213,plain,
    ( ~ c3_1(a271)
    | ~ sP14_iProver_def
    | c2_1(a271)
    | c1_1(a271) ),
    inference(instantiation,[status(thm)],[c_9033]) ).

cnf(c_9219,plain,
    ( ~ sP26_iProver_def
    | c0_1(a255)
    | c3_1(a255)
    | c1_1(a255) ),
    inference(instantiation,[status(thm)],[c_9059]) ).

cnf(c_9225,plain,
    ( ~ c2_1(a255)
    | ~ sP8_iProver_def
    | c3_1(a255)
    | c1_1(a255) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9226,plain,
    ( ~ c2_1(a255)
    | ~ sP3_iProver_def
    | c0_1(a255)
    | c1_1(a255) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9227,plain,
    ( c0_1(a255)
    | c2_1(a255)
    | c1_1(a255)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_341]) ).

cnf(c_9231,plain,
    ( ~ c0_1(a252)
    | ~ c2_1(a252)
    | ~ sP23_iProver_def
    | c1_1(a252) ),
    inference(instantiation,[status(thm)],[c_9053]) ).

cnf(c_9232,plain,
    ( ~ c2_1(a252)
    | ~ c3_1(a252)
    | ~ sP22_iProver_def
    | c1_1(a252) ),
    inference(instantiation,[status(thm)],[c_9050]) ).

cnf(c_9234,plain,
    ( ~ c0_1(a252)
    | ~ sP10_iProver_def
    | c3_1(a252)
    | c1_1(a252) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9235,plain,
    ( ~ c2_1(a252)
    | ~ sP8_iProver_def
    | c3_1(a252)
    | c1_1(a252) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9243,plain,
    ( ~ c3_1(a248)
    | ~ c1_1(a248)
    | ~ sP15_iProver_def
    | c2_1(a248) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

cnf(c_9245,plain,
    ( ~ c3_1(a248)
    | ~ sP12_iProver_def
    | c0_1(a248)
    | c2_1(a248) ),
    inference(instantiation,[status(thm)],[c_9029]) ).

cnf(c_9247,plain,
    ( ~ c0_1(a248)
    | ~ c3_1(a248)
    | ~ sP6_iProver_def
    | c2_1(a248) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9252,plain,
    ( ~ c0_1(a245)
    | ~ c2_1(a245)
    | ~ sP23_iProver_def
    | c1_1(a245) ),
    inference(instantiation,[status(thm)],[c_9053]) ).

cnf(c_9255,plain,
    ( ~ c0_1(a245)
    | ~ sP10_iProver_def
    | c3_1(a245)
    | c1_1(a245) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9256,plain,
    ( ~ c2_1(a245)
    | ~ sP8_iProver_def
    | c3_1(a245)
    | c1_1(a245) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9261,plain,
    ( ~ c1_1(a242)
    | ~ sP27_iProver_def
    | c0_1(a242)
    | c2_1(a242) ),
    inference(instantiation,[status(thm)],[c_9061]) ).

cnf(c_9309,plain,
    ( ~ c0_1(a216)
    | ~ c1_1(a216)
    | ~ sP4_iProver_def
    | c2_1(a216) ),
    inference(instantiation,[status(thm)],[c_9016]) ).

cnf(c_9312,plain,
    ( ~ sP30_iProver_def
    | c2_1(a255)
    | c3_1(a255)
    | c1_1(a255) ),
    inference(instantiation,[status(thm)],[c_9083]) ).

cnf(c_9313,plain,
    ( ~ sP30_iProver_def
    | c2_1(a245)
    | c3_1(a245)
    | c1_1(a245) ),
    inference(instantiation,[status(thm)],[c_9083]) ).

cnf(c_9318,plain,
    ( ~ c0_1(a236)
    | ~ sP29_iProver_def
    | c2_1(a236)
    | c3_1(a236) ),
    inference(instantiation,[status(thm)],[c_9071]) ).

cnf(c_9325,plain,
    ( ~ c3_1(a225)
    | ~ sP18_iProver_def
    | c0_1(a225)
    | c1_1(a225) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

cnf(c_9335,plain,
    ( ~ sP30_iProver_def
    | c2_1(a217)
    | c3_1(a217)
    | c1_1(a217) ),
    inference(instantiation,[status(thm)],[c_9083]) ).

cnf(c_9339,plain,
    ( ~ c3_1(a215)
    | ~ sP18_iProver_def
    | c0_1(a215)
    | c1_1(a215) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

cnf(c_9341,plain,
    ( ~ c2_1(a215)
    | ~ sP3_iProver_def
    | c0_1(a215)
    | c1_1(a215) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9350,plain,
    ( ~ c3_1(a320)
    | ~ sP18_iProver_def
    | c0_1(a320)
    | c1_1(a320) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

cnf(c_9351,plain,
    ( ~ c2_1(a320)
    | ~ c3_1(a320)
    | ~ sP7_iProver_def
    | c0_1(a320) ),
    inference(instantiation,[status(thm)],[c_9021]) ).

cnf(c_9352,plain,
    ( ~ c2_1(a320)
    | ~ sP3_iProver_def
    | c0_1(a320)
    | c1_1(a320) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9370,plain,
    ( ~ c2_1(a231)
    | ~ c1_1(a231)
    | ~ sP20_iProver_def
    | c0_1(a231) ),
    inference(instantiation,[status(thm)],[c_9047]) ).

cnf(c_9375,plain,
    ( ~ c1_1(a216)
    | ~ sP11_iProver_def
    | c2_1(a216)
    | c3_1(a216) ),
    inference(instantiation,[status(thm)],[c_9027]) ).

cnf(c_9377,plain,
    ( ~ c2_1(a220)
    | ~ c1_1(a220)
    | ~ sP20_iProver_def
    | c0_1(a220) ),
    inference(instantiation,[status(thm)],[c_9047]) ).

cnf(c_9378,plain,
    ( ~ c2_1(a220)
    | ~ c1_1(a220)
    | ~ sP9_iProver_def
    | c3_1(a220) ),
    inference(instantiation,[status(thm)],[c_9024]) ).

cnf(c_9383,plain,
    ( ~ c0_1(a220)
    | ~ c1_1(a220)
    | ~ sP5_iProver_def
    | c3_1(a220) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

cnf(c_9406,plain,
    ( ~ c2_1(a255)
    | ~ sP28_iProver_def
    | c0_1(a255)
    | c3_1(a255) ),
    inference(instantiation,[status(thm)],[c_9067]) ).

cnf(c_9411,plain,
    ( ~ c2_1(a214)
    | ~ sP28_iProver_def
    | c0_1(a214)
    | c3_1(a214) ),
    inference(instantiation,[status(thm)],[c_9067]) ).

cnf(c_9418,plain,
    ( ~ c2_1(a320)
    | ~ c3_1(a320)
    | ~ c1_1(a320)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9430,plain,
    ( ~ c0_1(a261)
    | ~ c2_1(a261)
    | ~ c3_1(a261)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9012]) ).

cnf(c_9431,plain,
    ( ~ c2_1(a261)
    | ~ c3_1(a261)
    | ~ c1_1(a261)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9439,plain,
    ( ~ c0_1(a239)
    | ~ c2_1(a239)
    | ~ c3_1(a239)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9012]) ).

cnf(c_9448,plain,
    ( ~ c2_1(a274)
    | ~ sP28_iProver_def
    | c0_1(a274)
    | c3_1(a274) ),
    inference(instantiation,[status(thm)],[c_9067]) ).

cnf(c_9452,plain,
    ( ~ c2_1(a274)
    | ~ c1_1(a274)
    | ~ sP20_iProver_def
    | c0_1(a274) ),
    inference(instantiation,[status(thm)],[c_9047]) ).

cnf(c_9454,plain,
    ( ~ sP17_iProver_def
    | c0_1(a274)
    | c2_1(a274)
    | c3_1(a274) ),
    inference(instantiation,[status(thm)],[c_9039]) ).

cnf(c_9465,plain,
    ( ~ c0_1(a259)
    | ~ c3_1(a259)
    | ~ sP6_iProver_def
    | c2_1(a259) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9503,plain,
    ( ~ c0_1(a226)
    | ~ c3_1(a226)
    | ~ sP24_iProver_def
    | c1_1(a226) ),
    inference(instantiation,[status(thm)],[c_9055]) ).

cnf(c_9510,plain,
    ( ~ c0_1(a226)
    | ~ sP29_iProver_def
    | c2_1(a226)
    | c3_1(a226) ),
    inference(instantiation,[status(thm)],[c_9071]) ).

cnf(c_9511,plain,
    ( ~ c0_1(a226)
    | ~ sP16_iProver_def
    | c2_1(a226)
    | c1_1(a226) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

cnf(c_9515,plain,
    ( ~ c0_1(a226)
    | ~ c3_1(a226)
    | ~ sP6_iProver_def
    | c2_1(a226) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9526,plain,
    ( ~ c3_1(a225)
    | ~ sP12_iProver_def
    | c0_1(a225)
    | c2_1(a225) ),
    inference(instantiation,[status(thm)],[c_9029]) ).

cnf(c_9532,plain,
    ( ~ c3_1(a225)
    | ~ c1_1(a225)
    | ~ sP15_iProver_def
    | c2_1(a225) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

cnf(c_9533,plain,
    ( ~ c3_1(a225)
    | ~ sP14_iProver_def
    | c2_1(a225)
    | c1_1(a225) ),
    inference(instantiation,[status(thm)],[c_9033]) ).

cnf(c_9544,plain,
    ( c0_1(a218)
    | c2_1(a218)
    | c1_1(a218)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_341]) ).

cnf(c_9547,plain,
    ( ~ c0_1(a218)
    | ~ sP16_iProver_def
    | c2_1(a218)
    | c1_1(a218) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

cnf(c_9549,plain,
    ( ~ c3_1(a218)
    | ~ sP14_iProver_def
    | c2_1(a218)
    | c1_1(a218) ),
    inference(instantiation,[status(thm)],[c_9033]) ).

cnf(c_9551,plain,
    ( ~ c0_1(a218)
    | ~ c3_1(a218)
    | ~ sP6_iProver_def
    | c2_1(a218) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9562,plain,
    ( ~ c2_1(a261)
    | ~ c1_1(a261)
    | ~ sP20_iProver_def
    | c0_1(a261) ),
    inference(instantiation,[status(thm)],[c_9047]) ).

cnf(c_9566,plain,
    ( ~ c2_1(a223)
    | ~ c1_1(a223)
    | ~ sP20_iProver_def
    | c0_1(a223) ),
    inference(instantiation,[status(thm)],[c_9047]) ).

cnf(c_9589,plain,
    ( ~ sP17_iProver_def
    | c0_1(a255)
    | c2_1(a255)
    | c3_1(a255) ),
    inference(instantiation,[status(thm)],[c_9039]) ).

cnf(c_9601,plain,
    ( ~ c2_1(a215)
    | ~ sP28_iProver_def
    | c0_1(a215)
    | c3_1(a215) ),
    inference(instantiation,[status(thm)],[c_9067]) ).

cnf(c_9604,plain,
    ( ~ sP17_iProver_def
    | c0_1(a217)
    | c2_1(a217)
    | c3_1(a217) ),
    inference(instantiation,[status(thm)],[c_9039]) ).

cnf(c_9610,plain,
    ( ~ c0_1(a237)
    | ~ c2_1(a237)
    | ~ sP23_iProver_def
    | c1_1(a237) ),
    inference(instantiation,[status(thm)],[c_9053]) ).

cnf(c_9638,plain,
    ( ~ c3_1(a218)
    | ~ sP12_iProver_def
    | c0_1(a218)
    | c2_1(a218) ),
    inference(instantiation,[status(thm)],[c_9029]) ).

cnf(c_9676,plain,
    ( ~ c0_1(a245)
    | ~ sP16_iProver_def
    | c2_1(a245)
    | c1_1(a245) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

cnf(c_9689,plain,
    ( ~ c0_1(a257)
    | ~ c1_1(a257)
    | ~ sP5_iProver_def
    | c3_1(a257) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

cnf(c_9717,plain,
    ( ~ c0_1(a234)
    | ~ c3_1(a234)
    | ~ sP6_iProver_def
    | c2_1(a234) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9834,plain,
    ( ~ c3_1(a231)
    | ~ sP12_iProver_def
    | c0_1(a231)
    | c2_1(a231) ),
    inference(instantiation,[status(thm)],[c_9029]) ).

cnf(c_9835,plain,
    ( ~ c3_1(a231)
    | ~ c1_1(a231)
    | ~ sP15_iProver_def
    | c2_1(a231) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

cnf(c_9865,plain,
    ( ~ c3_1(a216)
    | ~ c1_1(a216)
    | ~ sP15_iProver_def
    | c2_1(a216) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

cnf(c_9867,plain,
    ( ~ c0_1(a216)
    | ~ c3_1(a216)
    | ~ sP6_iProver_def
    | c2_1(a216) ),
    inference(instantiation,[status(thm)],[c_9019]) ).

cnf(c_9877,plain,
    ( ~ c0_1(a217)
    | ~ sP10_iProver_def
    | c3_1(a217)
    | c1_1(a217) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9878,plain,
    ( ~ c0_1(a217)
    | ~ sP16_iProver_def
    | c2_1(a217)
    | c1_1(a217) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

cnf(c_9889,plain,
    ( ~ c2_1(a239)
    | ~ c3_1(a239)
    | ~ sP7_iProver_def
    | c0_1(a239) ),
    inference(instantiation,[status(thm)],[c_9021]) ).

cnf(c_9900,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9889,c_9877,c_9878,c_9865,c_9867,c_9834,c_9835,c_9717,c_9689,c_9676,c_9638,c_9610,c_9604,c_9601,c_9589,c_9566,c_9562,c_9544,c_9547,c_9549,c_9551,c_9532,c_9533,c_9526,c_9510,c_9511,c_9515,c_9503,c_9465,c_9448,c_9452,c_9454,c_9439,c_9430,c_9431,c_9418,c_9411,c_9406,c_9377,c_9378,c_9383,c_9375,c_9370,c_9350,c_9351,c_9352,c_9339,c_9341,c_9335,c_9325,c_9318,c_9313,c_9312,c_9309,c_9261,c_9252,c_9255,c_9256,c_9243,c_9245,c_9247,c_9231,c_9232,c_9234,c_9235,c_9219,c_9225,c_9226,c_9227,c_9210,c_9213,c_9206,c_9193,c_9178,c_9179,c_9180,c_9168,c_9170,c_9162,c_9159,c_9160,c_9156,c_9150,c_9152,c_9146,c_9147,c_9148,c_9126,c_9118,c_9117,c_9116,c_9111,c_9110,c_9106,c_9105,c_9104,c_9103,c_9102,c_9100,c_9097,c_9096,c_9090,c_9089,c_9084,c_9082,c_9078,c_9075,c_9072,c_9070,c_9068,c_9063,c_9062,c_9058,c_9057,c_9054,c_9052,c_9051,c_9045,c_9043,c_9042,c_9041,c_9038,c_9037,c_9034,c_9030,c_9028,c_9026,c_9023,c_9020,c_9018,c_9015,c_9013,c_5712,c_5702,c_5692,c_5403,c_5393,c_5383,c_4272,c_4262,c_4252,c_3819,c_3809,c_3799,c_3402,c_3395,c_3388,c_2535,c_2525,c_2515,c_2283,c_2273,c_1875,c_1868,c_1861,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_146,c_147,c_148,c_149,c_150,c_151,c_152,c_156,c_159,c_160,c_161,c_162,c_163,c_164,c_165,c_166,c_167,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_177,c_91,c_92,c_93,c_94,c_95,c_96,c_97,c_98,c_99,c_103,c_104,c_105,c_106,c_107,c_108,c_109,c_110,c_111,c_112,c_113,c_117,c_118,c_120,c_121,c_122,c_123,c_124,c_125,c_126,c_127,c_128,c_129,c_130,c_131,c_132,c_133]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SYN503-1 : TPTP v8.1.2. Released v2.1.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:46:46 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.11  % SZS status Started for theBenchmark.p
% 4.04/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.11  
% 4.04/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.04/1.11  
% 4.04/1.11  ------  iProver source info
% 4.04/1.11  
% 4.04/1.11  git: date: 2024-05-02 19:28:25 +0000
% 4.04/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.04/1.11  git: non_committed_changes: false
% 4.04/1.11  
% 4.04/1.11  ------ Parsing...successful
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 4.04/1.11  
% 4.04/1.11  ------ Preprocessing... gs_s  sp: 127 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.04/1.11  ------ Proving...
% 4.04/1.11  ------ Problem Properties 
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  clauses                                 201
% 4.04/1.11  conjectures                             198
% 4.04/1.11  EPR                                     201
% 4.04/1.11  Horn                                    104
% 4.04/1.11  unary                                   0
% 4.04/1.11  binary                                  91
% 4.04/1.11  lits                                    544
% 4.04/1.11  lits eq                                 0
% 4.04/1.11  fd_pure                                 0
% 4.04/1.11  fd_pseudo                               0
% 4.04/1.11  fd_cond                                 0
% 4.04/1.11  fd_pseudo_cond                          0
% 4.04/1.11  AC symbols                              0
% 4.04/1.11  
% 4.04/1.11  ------ Input Options Time Limit: Unbounded
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  ------ 
% 4.04/1.11  Current options:
% 4.04/1.11  ------ 
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  ------ Proving...
% 4.04/1.11  
% 4.04/1.11  
% 4.04/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.11  
% 4.04/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.11  
% 4.04/1.11  
%------------------------------------------------------------------------------