TSTP Solution File: SYN460-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN460-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 03:07:27 EDT 2023

% Result   : Unsatisfiable 3.57s 1.10s
% Output   : CNFRefutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  119
% Syntax   : Number of clauses     :  347 (   2 unt; 195 nHn; 332 RR)
%            Number of literals    : 1529 (   0 equ; 769 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   62 (  61 usr;  58 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  246 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_70,negated_conjecture,
    ( ~ hskp37
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

cnf(c_73,negated_conjecture,
    ( ~ hskp34
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(c_110,negated_conjecture,
    ( hskp37
    | hskp34
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(c_112,negated_conjecture,
    ( hskp55
    | hskp54
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp58
    | c0_1(a2252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp56
    | c2_1(a2242) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp55
    | c1_1(a2241) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp55
    | c0_1(a2241) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp55
    | c2_1(a2241) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp54
    | c1_1(a2240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp54
    | c3_1(a2240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp54
    | c0_1(a2240) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp53
    | c0_1(a2235) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp53
    | c2_1(a2235) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp53
    | c3_1(a2235) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp49
    | c0_1(a2229) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp49
    | c3_1(a2229) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp48
    | c3_1(a2228) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp48
    | c2_1(a2228) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp47
    | c2_1(a2226) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp47
    | c0_1(a2226) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ hskp46
    | c0_1(a2218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp46
    | c2_1(a2218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(c_146,negated_conjecture,
    ( ~ hskp44
    | c2_1(a2215) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp44
    | c1_1(a2215) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(c_153,negated_conjecture,
    ( ~ hskp41
    | c1_1(a2205) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp40
    | c2_1(a2204) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp40
    | c3_1(a2204) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(c_164,negated_conjecture,
    ( ~ hskp34
    | c1_1(a2189) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ hskp34
    | c3_1(a2189) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ hskp33
    | c1_1(a2188) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp32
    | c0_1(a2186) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ hskp31
    | c1_1(a2185) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ hskp31
    | c3_1(a2185) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(c_177,negated_conjecture,
    ( ~ hskp26
    | c0_1(a2178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp26
    | c2_1(a2178) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(c_185,negated_conjecture,
    ( ~ hskp21
    | c2_1(a2239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp20
    | c1_1(a2237) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

cnf(c_188,negated_conjecture,
    ( ~ hskp18
    | c0_1(a2222) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(c_189,negated_conjecture,
    ( ~ hskp18
    | c3_1(a2222) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

cnf(c_190,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2221) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(c_193,negated_conjecture,
    ( ~ hskp13
    | c0_1(a2212) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp13
    | c2_1(a2212) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp3
    | c2_1(a2190) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp2
    | c3_1(a2187) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(c_204,negated_conjecture,
    ( ~ hskp2
    | c1_1(a2187) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(c_206,negated_conjecture,
    ( ~ c2_1(a2252)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(c_207,negated_conjecture,
    ( ~ c1_1(a2252)
    | ~ hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(c_208,negated_conjecture,
    ( ~ c1_1(a2242)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(a2242)
    | ~ hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(c_211,negated_conjecture,
    ( ~ c1_1(a2229)
    | ~ hskp49 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(c_212,negated_conjecture,
    ( ~ c0_1(a2228)
    | ~ hskp48 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(a2226)
    | ~ hskp47 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c3_1(a2218)
    | ~ hskp46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(a2215)
    | ~ hskp44 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(a2205)
    | ~ hskp41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c1_1(a2204)
    | ~ hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(a2189)
    | ~ hskp34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c3_1(a2188)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_229,negated_conjecture,
    ( ~ c2_1(a2188)
    | ~ hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(c_230,negated_conjecture,
    ( ~ c3_1(a2186)
    | ~ hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(c_231,negated_conjecture,
    ( ~ c2_1(a2186)
    | ~ hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(c_232,negated_conjecture,
    ( ~ c2_1(a2185)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

cnf(c_238,negated_conjecture,
    ( ~ c3_1(a2178)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

cnf(c_245,negated_conjecture,
    ( ~ c0_1(a2239)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

cnf(c_246,negated_conjecture,
    ( ~ c3_1(a2239)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

cnf(c_247,negated_conjecture,
    ( ~ c3_1(a2237)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

cnf(c_251,negated_conjecture,
    ( ~ c2_1(a2222)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

cnf(c_252,negated_conjecture,
    ( ~ c0_1(a2221)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

cnf(c_253,negated_conjecture,
    ( ~ c3_1(a2221)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

cnf(c_261,negated_conjecture,
    ( ~ c3_1(a2212)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause213) ).

cnf(c_266,negated_conjecture,
    ( ~ c2_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).

cnf(c_267,negated_conjecture,
    ( ~ c0_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).

cnf(c_268,negated_conjecture,
    ( ~ c3_1(a2206)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause220) ).

cnf(c_282,negated_conjecture,
    ( ~ c1_1(a2190)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause234) ).

cnf(c_283,negated_conjecture,
    ( ~ c0_1(a2190)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).

cnf(c_284,negated_conjecture,
    ( ~ c2_1(a2187)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).

cnf(c_287,negated_conjecture,
    ( ~ c0_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause239) ).

cnf(c_288,negated_conjecture,
    ( ~ c1_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).

cnf(c_289,negated_conjecture,
    ( ~ c2_1(a2181)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).

cnf(c_291,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp32
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).

cnf(c_293,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).

cnf(c_294,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | hskp58 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).

cnf(c_297,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp41
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).

cnf(c_300,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp49
    | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause252) ).

cnf(c_303,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause255) ).

cnf(c_304,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause256) ).

cnf(c_305,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp34
    | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause257) ).

cnf(c_307,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp46
    | hskp34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause259) ).

cnf(c_308,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp31
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).

cnf(c_312,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp47 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).

cnf(c_313,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp53 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).

cnf(c_315,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause267) ).

cnf(c_316,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause268) ).

cnf(c_317,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause269) ).

cnf(c_318,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause270) ).

cnf(c_320,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause272) ).

cnf(c_321,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause273) ).

cnf(c_323,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause275) ).

cnf(c_324,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).

cnf(c_326,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X1)
    | hskp44 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause278) ).

cnf(c_327,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | hskp48 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).

cnf(c_328,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).

cnf(c_329,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).

cnf(c_330,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause282) ).

cnf(c_332,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).

cnf(c_333,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).

cnf(c_334,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause286) ).

cnf(c_336,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause288) ).

cnf(c_337,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).

cnf(c_338,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).

cnf(c_339,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).

cnf(c_340,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause292) ).

cnf(c_341,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).

cnf(c_342,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).

cnf(c_343,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).

cnf(c_344,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause296) ).

cnf(c_372,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_107,c_110,c_101,c_73,c_70]) ).

cnf(c_490,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp58 ),
    inference(global_subsumption_just,[status(thm)],[c_294,c_110,c_101,c_73,c_70,c_294]) ).

cnf(c_493,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_293,c_110,c_101,c_73,c_70,c_293]) ).

cnf(c_499,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp32
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_291,c_110,c_101,c_73,c_70,c_291]) ).

cnf(c_505,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_303,c_110,c_101,c_73,c_70,c_303]) ).

cnf(c_506,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_514,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp49
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_300,c_110,c_101,c_73,c_70,c_300]) ).

cnf(c_523,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp41
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_297,c_110,c_101,c_73,c_70,c_297]) ).

cnf(c_538,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | hskp31
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_308,c_110,c_101,c_73,c_70,c_293,c_308]) ).

cnf(c_541,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp46
    | hskp34 ),
    inference(global_subsumption_just,[status(thm)],[c_307,c_110,c_101,c_73,c_70,c_307]) ).

cnf(c_542,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp46
    | hskp34 ),
    inference(renaming,[status(thm)],[c_541]) ).

cnf(c_547,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp34
    | hskp33 ),
    inference(global_subsumption_just,[status(thm)],[c_305,c_110,c_101,c_73,c_70,c_305]) ).

cnf(c_548,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp34
    | hskp33 ),
    inference(renaming,[status(thm)],[c_547]) ).

cnf(c_550,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_304,c_110,c_101,c_73,c_70,c_304]) ).

cnf(c_551,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_550]) ).

cnf(c_553,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp53 ),
    inference(global_subsumption_just,[status(thm)],[c_313,c_110,c_101,c_73,c_70,c_313]) ).

cnf(c_556,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp47 ),
    inference(global_subsumption_just,[status(thm)],[c_312,c_110,c_101,c_73,c_70,c_312]) ).

cnf(c_562,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp32 ),
    inference(global_subsumption_just,[status(thm)],[c_318,c_110,c_101,c_73,c_70,c_318]) ).

cnf(c_563,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp32 ),
    inference(renaming,[status(thm)],[c_562]) ).

cnf(c_565,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp33 ),
    inference(global_subsumption_just,[status(thm)],[c_317,c_110,c_101,c_73,c_70,c_317]) ).

cnf(c_566,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp33 ),
    inference(renaming,[status(thm)],[c_565]) ).

cnf(c_567,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_316,c_110,c_101,c_73,c_70,c_316]) ).

cnf(c_568,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_567]) ).

cnf(c_569,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp40 ),
    inference(global_subsumption_just,[status(thm)],[c_315,c_110,c_101,c_73,c_70,c_315]) ).

cnf(c_570,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp40 ),
    inference(renaming,[status(thm)],[c_569]) ).

cnf(c_575,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp56 ),
    inference(global_subsumption_just,[status(thm)],[c_324,c_324,c_372]) ).

cnf(c_576,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp56 ),
    inference(renaming,[status(thm)],[c_575]) ).

cnf(c_577,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_323,c_110,c_101,c_73,c_70,c_323]) ).

cnf(c_578,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_577]) ).

cnf(c_581,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_321,c_110,c_101,c_73,c_70,c_321]) ).

cnf(c_582,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_581]) ).

cnf(c_583,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_320,c_110,c_101,c_73,c_70,c_320]) ).

cnf(c_584,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_583]) ).

cnf(c_585,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp40 ),
    inference(global_subsumption_just,[status(thm)],[c_330,c_110,c_101,c_73,c_70,c_330]) ).

cnf(c_586,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp40 ),
    inference(renaming,[status(thm)],[c_585]) ).

cnf(c_587,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_329,c_110,c_101,c_73,c_70,c_329]) ).

cnf(c_588,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_587]) ).

cnf(c_590,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_328,c_110,c_101,c_73,c_70,c_328]) ).

cnf(c_591,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_590]) ).

cnf(c_592,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp48 ),
    inference(global_subsumption_just,[status(thm)],[c_327,c_110,c_101,c_73,c_70,c_327]) ).

cnf(c_593,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp48 ),
    inference(renaming,[status(thm)],[c_592]) ).

cnf(c_595,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X1)
    | hskp44 ),
    inference(global_subsumption_just,[status(thm)],[c_326,c_110,c_101,c_73,c_70,c_326]) ).

cnf(c_596,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp44 ),
    inference(renaming,[status(thm)],[c_595]) ).

cnf(c_598,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp33 ),
    inference(global_subsumption_just,[status(thm)],[c_332,c_110,c_101,c_73,c_70,c_332]) ).

cnf(c_599,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | hskp33 ),
    inference(renaming,[status(thm)],[c_598]) ).

cnf(c_603,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_334,c_110,c_101,c_73,c_70,c_334]) ).

cnf(c_604,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_603]) ).

cnf(c_605,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_333,c_110,c_101,c_73,c_70,c_333]) ).

cnf(c_606,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_605]) ).

cnf(c_607,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_339,c_110,c_101,c_73,c_70,c_339]) ).

cnf(c_608,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_607]) ).

cnf(c_609,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_338,c_110,c_101,c_73,c_70,c_338]) ).

cnf(c_610,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0) ),
    inference(renaming,[status(thm)],[c_609]) ).

cnf(c_611,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_337,c_110,c_101,c_73,c_70,c_337]) ).

cnf(c_612,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_611]) ).

cnf(c_613,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_336,c_110,c_101,c_73,c_70,c_336]) ).

cnf(c_614,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_613]) ).

cnf(c_617,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_343,c_110,c_101,c_73,c_70,c_343]) ).

cnf(c_618,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_617]) ).

cnf(c_619,plain,
    ( ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_342,c_110,c_101,c_73,c_70,c_342]) ).

cnf(c_620,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_619]) ).

cnf(c_621,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_341,c_110,c_101,c_73,c_70,c_341]) ).

cnf(c_622,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_621]) ).

cnf(c_623,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_340,c_110,c_101,c_73,c_70,c_340]) ).

cnf(c_624,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_623]) ).

cnf(c_625,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_344,c_110,c_101,c_73,c_70,c_344]) ).

cnf(c_626,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_625]) ).

cnf(c_2091,plain,
    ( c2_1(a2241)
    | hskp54
    | hskp21 ),
    inference(resolution,[status(thm)],[c_112,c_120]) ).

cnf(c_2101,plain,
    ( c0_1(a2241)
    | hskp54
    | hskp21 ),
    inference(resolution,[status(thm)],[c_112,c_119]) ).

cnf(c_2111,plain,
    ( c1_1(a2241)
    | hskp54
    | hskp21 ),
    inference(resolution,[status(thm)],[c_112,c_118]) ).

cnf(c_5505,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(a2221)
    | c3_1(X0) ),
    inference(resolution,[status(thm)],[c_506,c_253]) ).

cnf(c_5506,plain,
    ( ~ c1_1(a2178)
    | ~ c3_1(a2221)
    | ~ c2_1(a2178)
    | c3_1(a2178) ),
    inference(instantiation,[status(thm)],[c_5505]) ).

cnf(c_5519,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(a2221)
    | c3_1(X0) ),
    inference(resolution,[status(thm)],[c_506,c_252]) ).

cnf(c_5520,plain,
    ( ~ c0_1(a2221)
    | ~ c1_1(a2178)
    | ~ c2_1(a2178)
    | c3_1(a2178) ),
    inference(instantiation,[status(thm)],[c_5519]) ).

cnf(c_5533,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(a2221) ),
    inference(resolution,[status(thm)],[c_506,c_190]) ).

cnf(c_5534,plain,
    ( ~ c1_1(a2178)
    | ~ c2_1(a2178)
    | c3_1(a2178)
    | c2_1(a2221) ),
    inference(instantiation,[status(thm)],[c_5533]) ).

cnf(c_14692,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_626]) ).

cnf(c_14693,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_626]) ).

cnf(c_14694,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_626]) ).

cnf(c_14695,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).

cnf(c_14696,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_624]) ).

cnf(c_14697,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_624]) ).

cnf(c_14698,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_624]) ).

cnf(c_14699,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).

cnf(c_14700,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_622]) ).

cnf(c_14701,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_622]) ).

cnf(c_14702,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_622]) ).

cnf(c_14703,negated_conjecture,
    ( sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).

cnf(c_14704,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_620]) ).

cnf(c_14705,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).

cnf(c_14706,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_618]) ).

cnf(c_14707,negated_conjecture,
    ( sP2_iProver_split
    | sP7_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_618]) ).

cnf(c_14711,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_614]) ).

cnf(c_14712,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_614]) ).

cnf(c_14713,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_614]) ).

cnf(c_14714,negated_conjecture,
    ( sP13_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).

cnf(c_14715,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_612]) ).

cnf(c_14717,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_610]) ).

cnf(c_14718,negated_conjecture,
    ( sP13_iProver_split
    | sP16_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).

cnf(c_14719,negated_conjecture,
    ( sP5_iProver_split
    | sP13_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).

cnf(c_14720,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_606]) ).

cnf(c_14721,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_606]) ).

cnf(c_14722,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_606]) ).

cnf(c_14723,negated_conjecture,
    ( sP18_iProver_split
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

cnf(c_14724,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_604]) ).

cnf(c_14725,negated_conjecture,
    ( sP19_iProver_split
    | sP20_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

cnf(c_14727,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_599]) ).

cnf(c_14728,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_599]) ).

cnf(c_14729,negated_conjecture,
    ( hskp33
    | sP22_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).

cnf(c_14730,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_596]) ).

cnf(c_14731,negated_conjecture,
    ( hskp44
    | sP20_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).

cnf(c_14732,negated_conjecture,
    ( hskp48
    | sP0_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).

cnf(c_14733,negated_conjecture,
    ( hskp20
    | sP14_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).

cnf(c_14734,negated_conjecture,
    ( hskp10
    | sP6_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).

cnf(c_14735,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_586]) ).

cnf(c_14736,negated_conjecture,
    ( hskp40
    | sP20_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

cnf(c_14737,negated_conjecture,
    ( hskp26
    | sP0_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_584]) ).

cnf(c_14738,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_582]) ).

cnf(c_14739,negated_conjecture,
    ( hskp3
    | sP16_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).

cnf(c_14741,negated_conjecture,
    ( hskp10
    | sP4_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).

cnf(c_14742,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_576]) ).

cnf(c_14743,negated_conjecture,
    ( hskp56
    | sP17_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).

cnf(c_14746,negated_conjecture,
    ( hskp40
    | sP4_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).

cnf(c_14747,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_568]) ).

cnf(c_14748,negated_conjecture,
    ( hskp13
    | sP14_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).

cnf(c_14749,negated_conjecture,
    ( hskp33
    | sP7_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).

cnf(c_14750,negated_conjecture,
    ( hskp32
    | sP4_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).

cnf(c_14754,negated_conjecture,
    ( hskp47
    | sP10_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_556]) ).

cnf(c_14755,negated_conjecture,
    ( hskp53
    | sP14_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_553]) ).

cnf(c_14756,negated_conjecture,
    ( hskp34
    | hskp33
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).

cnf(c_14758,negated_conjecture,
    ( hskp46
    | hskp34
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).

cnf(c_14759,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_538]) ).

cnf(c_14760,negated_conjecture,
    ( hskp31
    | hskp18
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).

cnf(c_14765,negated_conjecture,
    ( hskp41
    | hskp10
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

cnf(c_14768,negated_conjecture,
    ( hskp49
    | hskp31
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).

cnf(c_14772,negated_conjecture,
    ( hskp32
    | hskp2
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

cnf(c_14786,plain,
    ( ~ c0_1(a2178)
    | ~ sP14_iProver_split
    | c1_1(a2178)
    | c3_1(a2178) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_14794,plain,
    ( ~ c0_1(a2178)
    | ~ c1_1(a2178)
    | ~ sP9_iProver_split
    | c3_1(a2178) ),
    inference(instantiation,[status(thm)],[c_14704]) ).

cnf(c_14795,plain,
    ( ~ c0_1(a2178)
    | ~ c2_1(a2178)
    | ~ sP15_iProver_split
    | c3_1(a2178) ),
    inference(instantiation,[status(thm)],[c_14713]) ).

cnf(c_14822,plain,
    ( ~ c1_1(a2237)
    | ~ c2_1(a2237)
    | c3_1(a2237)
    | hskp17 ),
    inference(instantiation,[status(thm)],[c_506]) ).

cnf(c_14839,plain,
    ( ~ c1_1(a2189)
    | ~ c3_1(a2189)
    | ~ sP0_iProver_split
    | c0_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14692]) ).

cnf(c_14845,plain,
    ( ~ c1_1(a2187)
    | ~ c3_1(a2187)
    | ~ sP0_iProver_split
    | c0_1(a2187) ),
    inference(instantiation,[status(thm)],[c_14692]) ).

cnf(c_14874,plain,
    ( ~ c3_1(a2222)
    | ~ sP4_iProver_split
    | c1_1(a2222)
    | c2_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14697]) ).

cnf(c_14880,plain,
    ( ~ c1_1(a2189)
    | ~ c3_1(a2189)
    | ~ sP6_iProver_split
    | c2_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14700]) ).

cnf(c_14884,plain,
    ( ~ c1_1(a2222)
    | ~ c3_1(a2222)
    | ~ sP6_iProver_split
    | c2_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14700]) ).

cnf(c_14894,plain,
    ( ~ c2_1(a2239)
    | ~ sP13_iProver_split
    | c0_1(a2239)
    | c1_1(a2239) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_14898,plain,
    ( ~ c2_1(a2190)
    | ~ sP13_iProver_split
    | c0_1(a2190)
    | c1_1(a2190) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_14929,plain,
    ( ~ c1_1(a2215)
    | ~ c2_1(a2215)
    | ~ sP23_iProver_split
    | c0_1(a2215) ),
    inference(instantiation,[status(thm)],[c_14728]) ).

cnf(c_14932,plain,
    ( ~ c1_1(a2189)
    | ~ c2_1(a2189)
    | ~ sP23_iProver_split
    | c0_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14728]) ).

cnf(c_14935,plain,
    ( ~ c1_1(a2239)
    | ~ c2_1(a2239)
    | ~ sP23_iProver_split
    | c0_1(a2239) ),
    inference(instantiation,[status(thm)],[c_14728]) ).

cnf(c_14941,plain,
    ( ~ c1_1(a2221)
    | ~ c2_1(a2221)
    | ~ sP23_iProver_split
    | c0_1(a2221) ),
    inference(instantiation,[status(thm)],[c_14728]) ).

cnf(c_14943,plain,
    ( ~ c2_1(a2221)
    | ~ sP13_iProver_split
    | c0_1(a2221)
    | c1_1(a2221) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_14945,plain,
    ( ~ sP21_iProver_split
    | c0_1(a2181)
    | c1_1(a2181)
    | c3_1(a2181) ),
    inference(instantiation,[status(thm)],[c_14724]) ).

cnf(c_14948,plain,
    ( ~ sP19_iProver_split
    | c1_1(a2181)
    | c3_1(a2181)
    | c2_1(a2181) ),
    inference(instantiation,[status(thm)],[c_14721]) ).

cnf(c_14953,plain,
    ( ~ c0_1(a2222)
    | ~ c1_1(a2222)
    | ~ sP8_iProver_split
    | c2_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14702]) ).

cnf(c_14969,plain,
    ( ~ c2_1(a2239)
    | ~ sP1_iProver_split
    | c0_1(a2239)
    | c3_1(a2239) ),
    inference(instantiation,[status(thm)],[c_14693]) ).

cnf(c_14971,plain,
    ( ~ c2_1(a2221)
    | ~ sP1_iProver_split
    | c0_1(a2221)
    | c3_1(a2221) ),
    inference(instantiation,[status(thm)],[c_14693]) ).

cnf(c_14977,plain,
    ( ~ c1_1(a2185)
    | ~ c3_1(a2185)
    | ~ sP6_iProver_split
    | c2_1(a2185) ),
    inference(instantiation,[status(thm)],[c_14700]) ).

cnf(c_14980,plain,
    ( ~ c1_1(a2185)
    | ~ c3_1(a2185)
    | ~ sP0_iProver_split
    | c0_1(a2185) ),
    inference(instantiation,[status(thm)],[c_14692]) ).

cnf(c_14989,plain,
    ( ~ c2_1(a2204)
    | ~ sP13_iProver_split
    | c0_1(a2204)
    | c1_1(a2204) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_15034,plain,
    ( ~ c0_1(a2185)
    | ~ c3_1(a2185)
    | ~ sP20_iProver_split
    | c2_1(a2185) ),
    inference(instantiation,[status(thm)],[c_14722]) ).

cnf(c_15038,plain,
    ( ~ c0_1(a2222)
    | ~ c3_1(a2222)
    | ~ sP20_iProver_split
    | c2_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14722]) ).

cnf(c_15040,plain,
    ( ~ c0_1(a2187)
    | ~ c3_1(a2187)
    | ~ sP20_iProver_split
    | c2_1(a2187) ),
    inference(instantiation,[status(thm)],[c_14722]) ).

cnf(c_15043,plain,
    ( ~ c0_1(a2242)
    | ~ sP14_iProver_split
    | c1_1(a2242)
    | c3_1(a2242) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_15054,plain,
    ( ~ c3_1(a2204)
    | ~ c2_1(a2204)
    | ~ sP16_iProver_split
    | c1_1(a2204) ),
    inference(instantiation,[status(thm)],[c_14715]) ).

cnf(c_15120,plain,
    ( ~ c0_1(a2240)
    | ~ c3_1(a2240)
    | ~ sP20_iProver_split
    | c2_1(a2240) ),
    inference(instantiation,[status(thm)],[c_14722]) ).

cnf(c_15121,plain,
    ( ~ c1_1(a2240)
    | ~ c3_1(a2240)
    | ~ sP6_iProver_split
    | c2_1(a2240) ),
    inference(instantiation,[status(thm)],[c_14700]) ).

cnf(c_15242,plain,
    ( ~ c1_1(a2189)
    | ~ sP7_iProver_split
    | c0_1(a2189)
    | c2_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14701]) ).

cnf(c_15266,plain,
    ( ~ c0_1(a2212)
    | ~ c2_1(a2212)
    | ~ sP15_iProver_split
    | c3_1(a2212) ),
    inference(instantiation,[status(thm)],[c_14713]) ).

cnf(c_15319,plain,
    ( ~ c1_1(a2205)
    | ~ c3_1(a2205)
    | ~ sP0_iProver_split
    | c0_1(a2205) ),
    inference(instantiation,[status(thm)],[c_14692]) ).

cnf(c_15460,plain,
    ( ~ c1_1(a2206)
    | ~ sP7_iProver_split
    | c0_1(a2206)
    | c2_1(a2206) ),
    inference(instantiation,[status(thm)],[c_14701]) ).

cnf(c_15464,plain,
    ( ~ sP21_iProver_split
    | c0_1(a2206)
    | c1_1(a2206)
    | c3_1(a2206) ),
    inference(instantiation,[status(thm)],[c_14724]) ).

cnf(c_15471,plain,
    ( ~ c2_1(a2242)
    | ~ sP13_iProver_split
    | c0_1(a2242)
    | c1_1(a2242) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_15681,plain,
    ( ~ c0_1(a2222)
    | ~ sP17_iProver_split
    | c1_1(a2222)
    | c2_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14717]) ).

cnf(c_15719,plain,
    ( ~ c3_1(a2181)
    | c1_1(a2181)
    | c2_1(a2181)
    | hskp58 ),
    inference(instantiation,[status(thm)],[c_490]) ).

cnf(c_15751,plain,
    ( ~ c3_1(a2181)
    | ~ sP4_iProver_split
    | c1_1(a2181)
    | c2_1(a2181) ),
    inference(instantiation,[status(thm)],[c_14697]) ).

cnf(c_15769,plain,
    ( ~ sP19_iProver_split
    | c1_1(a2206)
    | c3_1(a2206)
    | c2_1(a2206) ),
    inference(instantiation,[status(thm)],[c_14721]) ).

cnf(c_15794,plain,
    ( ~ c1_1(a2218)
    | ~ c2_1(a2218)
    | c3_1(a2218)
    | hskp17 ),
    inference(instantiation,[status(thm)],[c_506]) ).

cnf(c_15798,plain,
    ( ~ c3_1(a2189)
    | ~ sP10_iProver_split
    | c0_1(a2189)
    | c2_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14706]) ).

cnf(c_15830,plain,
    ( ~ c2_1(a2242)
    | ~ sP26_iProver_split
    | c1_1(a2242)
    | c3_1(a2242) ),
    inference(instantiation,[status(thm)],[c_14738]) ).

cnf(c_15832,plain,
    ( ~ c2_1(a2218)
    | ~ sP26_iProver_split
    | c1_1(a2218)
    | c3_1(a2218) ),
    inference(instantiation,[status(thm)],[c_14738]) ).

cnf(c_15861,plain,
    ( ~ c3_1(a2189)
    | ~ c2_1(a2189)
    | ~ sP25_iProver_split
    | c0_1(a2189) ),
    inference(instantiation,[status(thm)],[c_14735]) ).

cnf(c_15890,plain,
    ( ~ c3_1(a2185)
    | ~ sP10_iProver_split
    | c0_1(a2185)
    | c2_1(a2185) ),
    inference(instantiation,[status(thm)],[c_14706]) ).

cnf(c_15892,plain,
    ( ~ c1_1(a2185)
    | ~ sP7_iProver_split
    | c0_1(a2185)
    | c2_1(a2185) ),
    inference(instantiation,[status(thm)],[c_14701]) ).

cnf(c_15922,plain,
    ( ~ c1_1(a2237)
    | c3_1(a2237)
    | c2_1(a2237)
    | hskp18 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_15927,plain,
    ( ~ c1_1(a2206)
    | c3_1(a2206)
    | c2_1(a2206)
    | hskp18 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_15936,plain,
    ( ~ c3_1(a2187)
    | ~ sP10_iProver_split
    | c0_1(a2187)
    | c2_1(a2187) ),
    inference(instantiation,[status(thm)],[c_14706]) ).

cnf(c_15938,plain,
    ( ~ c1_1(a2187)
    | ~ sP7_iProver_split
    | c0_1(a2187)
    | c2_1(a2187) ),
    inference(instantiation,[status(thm)],[c_14701]) ).

cnf(c_16289,plain,
    ( ~ c0_1(a2186)
    | ~ sP5_iProver_split
    | c3_1(a2186)
    | c2_1(a2186) ),
    inference(instantiation,[status(thm)],[c_14698]) ).

cnf(c_16290,plain,
    ( ~ c1_1(a2186)
    | c3_1(a2186)
    | c2_1(a2186)
    | hskp18 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_16292,plain,
    ( ~ sP19_iProver_split
    | c1_1(a2186)
    | c3_1(a2186)
    | c2_1(a2186) ),
    inference(instantiation,[status(thm)],[c_14721]) ).

cnf(c_16296,plain,
    ( ~ c0_1(a2240)
    | ~ c1_1(a2240)
    | ~ sP8_iProver_split
    | c2_1(a2240) ),
    inference(instantiation,[status(thm)],[c_14702]) ).

cnf(c_16299,plain,
    ( ~ c0_1(a2186)
    | ~ c1_1(a2186)
    | ~ sP8_iProver_split
    | c2_1(a2186) ),
    inference(instantiation,[status(thm)],[c_14702]) ).

cnf(c_16328,plain,
    ( ~ c0_1(a2252)
    | ~ sP14_iProver_split
    | c1_1(a2252)
    | c3_1(a2252) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_16335,plain,
    ( ~ c0_1(a2218)
    | ~ c2_1(a2218)
    | ~ sP15_iProver_split
    | c3_1(a2218) ),
    inference(instantiation,[status(thm)],[c_14713]) ).

cnf(c_16357,plain,
    ( ~ c0_1(a2252)
    | ~ c3_1(a2252)
    | ~ sP24_iProver_split
    | c1_1(a2252) ),
    inference(instantiation,[status(thm)],[c_14730]) ).

cnf(c_16367,plain,
    ( ~ c0_1(a2218)
    | ~ c2_1(a2218)
    | ~ sP27_iProver_split
    | c1_1(a2218) ),
    inference(instantiation,[status(thm)],[c_14742]) ).

cnf(c_16421,plain,
    ( ~ c0_1(a2226)
    | ~ c3_1(a2226)
    | ~ c2_1(a2226)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_14694]) ).

cnf(c_16422,plain,
    ( ~ c0_1(a2226)
    | ~ c2_1(a2226)
    | ~ sP27_iProver_split
    | c1_1(a2226) ),
    inference(instantiation,[status(thm)],[c_14742]) ).

cnf(c_16430,plain,
    ( ~ c0_1(a2226)
    | ~ sP14_iProver_split
    | c1_1(a2226)
    | c3_1(a2226) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_16649,plain,
    ( ~ c0_1(a2186)
    | ~ sP14_iProver_split
    | c1_1(a2186)
    | c3_1(a2186) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_16657,plain,
    ( ~ c0_1(a2218)
    | ~ sP14_iProver_split
    | c1_1(a2218)
    | c3_1(a2218) ),
    inference(instantiation,[status(thm)],[c_14712]) ).

cnf(c_16842,plain,
    ( ~ c1_1(a2239)
    | ~ sP30_iProver_split
    | c3_1(a2239) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

cnf(c_16843,plain,
    ( ~ c1_1(a2221)
    | ~ sP30_iProver_split
    | c3_1(a2221) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

cnf(c_16950,plain,
    ( ~ c0_1(a2235)
    | ~ c3_1(a2235)
    | ~ c2_1(a2235)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_14694]) ).

cnf(c_17101,plain,
    ( ~ c3_1(a2235)
    | ~ c2_1(a2235)
    | ~ sP16_iProver_split
    | c1_1(a2235) ),
    inference(instantiation,[status(thm)],[c_14715]) ).

cnf(c_17277,negated_conjecture,
    ( sP0_iProver_split
    | sP13_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_14737,c_178,c_177,c_238,c_5506,c_5520,c_5534,c_14705,c_14714,c_14737,c_14786,c_14794,c_14795,c_14971]) ).

cnf(c_17313,plain,
    ( ~ c0_1(a2240)
    | ~ c2_1(a2240)
    | ~ hskp54
    | hskp0 ),
    inference(superposition,[status(thm)],[c_121,c_551]) ).

cnf(c_18015,plain,
    ( ~ c1_1(a2235)
    | ~ c3_1(a2235)
    | ~ c2_1(a2235)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_14727]) ).

cnf(c_18021,plain,
    ( ~ c1_1(a2189)
    | ~ c3_1(a2189)
    | ~ c2_1(a2189)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_14727]) ).

cnf(c_18093,plain,
    ( ~ hskp54
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_17313,c_123,c_122,c_121,c_268,c_267,c_266,c_14703,c_14725,c_14734,c_15121,c_15120,c_15464,c_15460,c_15769,c_16296,c_17313]) ).

cnf(c_18253,plain,
    ( ~ c1_1(a2228)
    | ~ c3_1(a2228)
    | ~ c2_1(a2228)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_14727]) ).

cnf(c_18290,plain,
    ( ~ c2_1(a2228)
    | ~ sP13_iProver_split
    | c0_1(a2228)
    | c1_1(a2228) ),
    inference(instantiation,[status(thm)],[c_14711]) ).

cnf(c_18481,plain,
    ( ~ c0_1(a2235)
    | ~ c3_1(a2235)
    | ~ sP24_iProver_split
    | c1_1(a2235) ),
    inference(instantiation,[status(thm)],[c_14730]) ).

cnf(c_18484,plain,
    ( ~ c0_1(a2229)
    | ~ c3_1(a2229)
    | ~ sP24_iProver_split
    | c1_1(a2229) ),
    inference(instantiation,[status(thm)],[c_14730]) ).

cnf(c_18494,plain,
    ( ~ c0_1(a2222)
    | ~ c3_1(a2222)
    | ~ sP24_iProver_split
    | c1_1(a2222) ),
    inference(instantiation,[status(thm)],[c_14730]) ).

cnf(c_18715,plain,
    ( ~ c0_1(a2241)
    | ~ c2_1(a2241)
    | hskp54
    | hskp21
    | hskp0 ),
    inference(superposition,[status(thm)],[c_2111,c_551]) ).

cnf(c_19425,plain,
    ( ~ c3_1(a2181)
    | ~ sP28_iProver_split
    | c0_1(a2181)
    | c1_1(a2181) ),
    inference(instantiation,[status(thm)],[c_14747]) ).

cnf(c_19856,plain,
    ( ~ hskp33
    | c3_1(a2188)
    | c2_1(a2188)
    | hskp18 ),
    inference(superposition,[status(thm)],[c_166,c_493]) ).

cnf(c_20202,plain,
    ( ~ c0_1(a2218)
    | ~ c1_1(a2218)
    | ~ c2_1(a2218)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_14696]) ).

cnf(c_20204,plain,
    ( ~ c1_1(a2218)
    | ~ sP30_iProver_split
    | c3_1(a2218) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

cnf(c_20253,plain,
    ( ~ c0_1(a2252)
    | ~ c3_1(a2252)
    | ~ sP20_iProver_split
    | c2_1(a2252) ),
    inference(instantiation,[status(thm)],[c_14722]) ).

cnf(c_20275,plain,
    ( ~ sP18_iProver_split
    | c0_1(a2181)
    | c3_1(a2181)
    | c2_1(a2181) ),
    inference(instantiation,[status(thm)],[c_14720]) ).

cnf(c_20285,plain,
    ( ~ c0_1(a2235)
    | ~ c1_1(a2235)
    | ~ c2_1(a2235)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_14696]) ).

cnf(c_20377,plain,
    ( ~ hskp41
    | ~ sP30_iProver_split
    | c3_1(a2205) ),
    inference(superposition,[status(thm)],[c_153,c_14759]) ).

cnf(c_20386,plain,
    ( ~ hskp20
    | ~ sP30_iProver_split
    | c3_1(a2237) ),
    inference(superposition,[status(thm)],[c_186,c_14759]) ).

cnf(c_20593,plain,
    ( ~ c0_1(a2204)
    | ~ c2_1(a2204)
    | ~ sP27_iProver_split
    | c1_1(a2204) ),
    inference(instantiation,[status(thm)],[c_14742]) ).

cnf(c_20718,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20593,c_20377,c_20386,c_20285,c_20275,c_20253,c_20202,c_20204,c_19856,c_19425,c_18715,c_18494,c_18484,c_18481,c_18290,c_18253,c_18093,c_18021,c_18015,c_17277,c_17101,c_16950,c_16843,c_16842,c_16657,c_16649,c_16430,c_16421,c_16422,c_16367,c_16357,c_16335,c_16328,c_16299,c_16289,c_16290,c_16292,c_15936,c_15938,c_15927,c_15922,c_15890,c_15892,c_15861,c_15832,c_15830,c_15798,c_15794,c_15769,c_15751,c_15719,c_15681,c_15471,c_15460,c_15464,c_15319,c_15266,c_15242,c_15054,c_15043,c_15040,c_15038,c_15034,c_14989,c_14977,c_14980,c_14969,c_14953,c_14948,c_14945,c_14941,c_14943,c_14935,c_14932,c_14929,c_14898,c_14894,c_14884,c_14880,c_14874,c_14845,c_14839,c_14822,c_14772,c_14768,c_14765,c_14760,c_14758,c_14756,c_14755,c_14754,c_14750,c_14749,c_14748,c_14746,c_14743,c_14741,c_14739,c_14736,c_14734,c_14733,c_14732,c_14731,c_14729,c_14725,c_14723,c_14719,c_14718,c_14714,c_14707,c_14703,c_14699,c_14695,c_2101,c_2091,c_206,c_207,c_208,c_209,c_211,c_212,c_213,c_214,c_215,c_218,c_219,c_227,c_228,c_229,c_230,c_231,c_232,c_245,c_246,c_247,c_251,c_252,c_253,c_261,c_266,c_267,c_268,c_282,c_283,c_284,c_287,c_288,c_289,c_113,c_117,c_124,c_125,c_126,c_135,c_136,c_137,c_138,c_139,c_140,c_141,c_142,c_146,c_147,c_153,c_154,c_155,c_164,c_165,c_167,c_168,c_169,c_185,c_186,c_188,c_189,c_190,c_193,c_194,c_202,c_203,c_204]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN460-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 21:40:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.57/1.10  % SZS status Started for theBenchmark.p
% 3.57/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.10  
% 3.57/1.10  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.57/1.10  
% 3.57/1.10  ------  iProver source info
% 3.57/1.10  
% 3.57/1.10  git: date: 2023-05-31 18:12:56 +0000
% 3.57/1.10  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.57/1.10  git: non_committed_changes: false
% 3.57/1.10  git: last_make_outside_of_git: false
% 3.57/1.10  
% 3.57/1.10  ------ Parsing...successful
% 3.57/1.10  
% 3.57/1.10  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.57/1.10  
% 3.57/1.10  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.57/1.10   gs_s  sp: 97 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.57/1.10  ------ Proving...
% 3.57/1.10  ------ Problem Properties 
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  clauses                                 263
% 3.57/1.10  conjectures                             248
% 3.57/1.10  EPR                                     263
% 3.57/1.10  Horn                                    178
% 3.57/1.10  unary                                   0
% 3.57/1.10  binary                                  162
% 3.57/1.10  lits                                    661
% 3.57/1.10  lits eq                                 0
% 3.57/1.10  fd_pure                                 0
% 3.57/1.10  fd_pseudo                               0
% 3.57/1.10  fd_cond                                 0
% 3.57/1.10  fd_pseudo_cond                          0
% 3.57/1.10  AC symbols                              0
% 3.57/1.10  
% 3.57/1.10  ------ Schedule EPR non Horn non eq is on
% 3.57/1.10  
% 3.57/1.10  ------ no equalities: superposition off 
% 3.57/1.10  
% 3.57/1.10  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  ------ 
% 3.57/1.10  Current options:
% 3.57/1.10  ------ 
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  ------ Proving...
% 3.57/1.10  
% 3.57/1.10  
% 3.57/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.10  
% 3.57/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.10  
% 3.57/1.10  
%------------------------------------------------------------------------------