TSTP Solution File: SEU295+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 : Tue Aug 22 10:58:18 EDT 2023
% Result : Theorem 17.95s 6.61s
% Output : CNFRefutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 369
% Syntax : Number of formulae : 376 ( 7 unt; 366 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 1 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 770 ( 348 >; 422 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 331 ( 331 usr; 18 con; 0-8 aty)
% Number of variables : 10 (; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > relation_isomorphism > quasi_total > well_orders > subset > proper_subset > ordinal_subset > is_well_founded_in > is_transitive_in > is_reflexive_in > is_connected_in > is_antisymmetric_in > in > equipotent > element > disjoint > are_equipotent > well_ordering > well_founded_relation > transitive > relation_empty_yielding > relation > reflexive > ordinal > one_to_one > natural > function > finite > epsilon_transitive > epsilon_connected > empty > connected > being_limit_ordinal > antisymmetric > unordered_triple > subset_difference > relation_rng_as_subset > relation_dom_as_subset > unordered_pair > union_of_subsets > subset_complement > set_union2 > set_intersection2 > set_difference > relation_rng_restriction > relation_restriction > relation_inverse_image > relation_image > relation_dom_restriction > relation_composition > ordered_pair > meet_of_subsets > fiber > complements_of_subsets > cartesian_product2 > apply > #nlpp > union > succ > singleton > set_meet > relation_rng > relation_inverse > relation_field > relation_dom > powerset > pair_second > pair_first > inclusion_relation > identity_relation > function_inverse > cast_to_subset > empty_set > #skF_53 > #skF_279 > #skF_62 > #skF_13 > #skF_253 > #skF_289 > #skF_108 > #skF_114 > #skF_104 > #skF_240 > #skF_47 > #skF_183 > #skF_24 > #skF_106 > #skF_37 > #skF_35 > #skF_220 > #skF_64 > #skF_225 > #skF_75 > #skF_38 > #skF_133 > #skF_41 > #skF_73 > #skF_228 > #skF_80 > #skF_17 > #skF_175 > #skF_61 > #skF_130 > #skF_145 > #skF_181 > #skF_57 > #skF_216 > #skF_129 > #skF_198 > #skF_148 > #skF_56 > #skF_44 > #skF_123 > #skF_121 > #skF_97 > #skF_63 > #skF_214 > #skF_113 > #skF_221 > #skF_268 > #skF_124 > #skF_180 > #skF_27 > #skF_93 > #skF_6 > #skF_276 > #skF_190 > #skF_247 > #skF_122 > #skF_195 > #skF_262 > #skF_178 > #skF_272 > #skF_153 > #skF_68 > #skF_31 > #skF_18 > #skF_188 > #skF_286 > #skF_234 > #skF_237 > #skF_115 > #skF_171 > #skF_255 > #skF_257 > #skF_139 > #skF_32 > #skF_150 > #skF_116 > #skF_127 > #skF_67 > #skF_111 > #skF_72 > #skF_206 > #skF_203 > #skF_293 > #skF_238 > #skF_244 > #skF_131 > #skF_165 > #skF_280 > #skF_292 > #skF_66 > #skF_99 > #skF_179 > #skF_60 > #skF_136 > #skF_92 > #skF_12 > #skF_160 > #skF_78 > #skF_191 > #skF_3 > #skF_177 > #skF_211 > #skF_117 > #skF_263 > #skF_77 > #skF_212 > #skF_261 > #skF_281 > #skF_154 > #skF_90 > #skF_34 > #skF_209 > #skF_187 > #skF_162 > #skF_29 > #skF_278 > #skF_224 > #skF_233 > #skF_101 > #skF_260 > #skF_218 > #skF_172 > #skF_109 > #skF_85 > #skF_173 > #skF_251 > #skF_269 > #skF_23 > #skF_45 > #skF_256 > #skF_275 > #skF_26 > #skF_71 > #skF_110 > #skF_277 > #skF_140 > #skF_156 > #skF_88 > #skF_107 > #skF_141 > #skF_126 > #skF_74 > #skF_33 > #skF_5 > #skF_196 > #skF_267 > #skF_146 > #skF_49 > #skF_152 > #skF_19 > #skF_264 > #skF_58 > #skF_65 > #skF_163 > #skF_132 > #skF_144 > #skF_84 > #skF_265 > #skF_54 > #skF_236 > #skF_128 > #skF_245 > #skF_69 > #skF_239 > #skF_42 > #skF_242 > #skF_194 > #skF_241 > #skF_254 > #skF_164 > #skF_149 > #skF_51 > #skF_222 > #skF_94 > #skF_11 > #skF_217 > #skF_201 > #skF_36 > #skF_184 > #skF_166 > #skF_270 > #skF_7 > #skF_200 > #skF_118 > #skF_170 > #skF_138 > #skF_227 > #skF_223 > #skF_283 > #skF_229 > #skF_100 > #skF_9 > #skF_20 > #skF_266 > #skF_230 > #skF_167 > #skF_86 > #skF_204 > #skF_15 > #skF_182 > #skF_287 > #skF_205 > #skF_83 > #skF_103 > #skF_14 > #skF_28 > #skF_50 > #skF_208 > #skF_271 > #skF_102 > #skF_193 > #skF_95 > #skF_185 > #skF_151 > #skF_186 > #skF_243 > #skF_46 > #skF_81 > #skF_285 > #skF_174 > #skF_249 > #skF_176 > #skF_207 > #skF_259 > #skF_52 > #skF_274 > #skF_142 > #skF_192 > #skF_235 > #skF_284 > #skF_199 > #skF_87 > #skF_59 > #skF_290 > #skF_55 > #skF_157 > #skF_2 > #skF_76 > #skF_248 > #skF_169 > #skF_119 > #skF_134 > #skF_48 > #skF_161 > #skF_226 > #skF_105 > #skF_40 > #skF_137 > #skF_135 > #skF_231 > #skF_82 > #skF_143 > #skF_202 > #skF_215 > #skF_8 > #skF_159 > #skF_158 > #skF_91 > #skF_25 > #skF_89 > #skF_43 > #skF_273 > #skF_197 > #skF_168 > #skF_288 > #skF_258 > #skF_147 > #skF_210 > #skF_252 > #skF_213 > #skF_120 > #skF_112 > #skF_21 > #skF_250 > #skF_96 > #skF_1 > #skF_291 > #skF_246 > #skF_98 > #skF_22 > #skF_30 > #skF_232 > #skF_219 > #skF_189 > #skF_70 > #skF_282 > #skF_4 > #skF_125 > #skF_16 > #skF_10 > #skF_79 > #skF_155 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff('#skF_279',type,
'#skF_279': ( $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(well_ordering,type,
well_ordering: $i > $o ).
tff('#skF_253',type,
'#skF_253': ( $i * $i ) > $i ).
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff(are_equipotent,type,
are_equipotent: ( $i * $i ) > $o ).
tff('#skF_289',type,
'#skF_289': $i > $i ).
tff('#skF_108',type,
'#skF_108': ( $i * $i * $i ) > $i ).
tff(subset_difference,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff('#skF_114',type,
'#skF_114': ( $i * $i * $i ) > $i ).
tff('#skF_104',type,
'#skF_104': ( $i * $i ) > $i ).
tff(antisymmetric,type,
antisymmetric: $i > $o ).
tff('#skF_240',type,
'#skF_240': ( $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_183',type,
'#skF_183': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff('#skF_106',type,
'#skF_106': ( $i * $i * $i ) > $i ).
tff(complements_of_subsets,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i ) > $i ).
tff('#skF_220',type,
'#skF_220': ( $i * $i * $i * $i ) > $i ).
tff(relation_field,type,
relation_field: $i > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_225',type,
'#skF_225': ( $i * $i ) > $i ).
tff('#skF_75',type,
'#skF_75': ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i ) > $i ).
tff(cast_to_subset,type,
cast_to_subset: $i > $i ).
tff(union,type,
union: $i > $i ).
tff('#skF_133',type,
'#skF_133': $i > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i ) > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_228',type,
'#skF_228': ( $i * $i ) > $i ).
tff('#skF_80',type,
'#skF_80': ( $i * $i ) > $i ).
tff(unordered_triple,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_175',type,
'#skF_175': ( $i * $i ) > $i ).
tff('#skF_61',type,
'#skF_61': $i > $i ).
tff('#skF_130',type,
'#skF_130': $i > $i ).
tff('#skF_145',type,
'#skF_145': $i ).
tff('#skF_181',type,
'#skF_181': ( $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff('#skF_216',type,
'#skF_216': ( $i * $i * $i ) > $i ).
tff('#skF_129',type,
'#skF_129': ( $i * $i ) > $i ).
tff(connected,type,
connected: $i > $o ).
tff('#skF_198',type,
'#skF_198': ( $i * $i ) > $i ).
tff('#skF_148',type,
'#skF_148': $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i ) > $i ).
tff('#skF_123',type,
'#skF_123': $i > $i ).
tff(relation_inverse,type,
relation_inverse: $i > $i ).
tff('#skF_121',type,
'#skF_121': ( $i * $i * $i ) > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_97',type,
'#skF_97': ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i ) > $i ).
tff('#skF_214',type,
'#skF_214': ( $i * $i * $i ) > $i ).
tff('#skF_113',type,
'#skF_113': ( $i * $i * $i ) > $i ).
tff('#skF_221',type,
'#skF_221': $i > $i ).
tff('#skF_268',type,
'#skF_268': ( $i * $i * $i ) > $i ).
tff('#skF_124',type,
'#skF_124': ( $i * $i ) > $i ).
tff('#skF_180',type,
'#skF_180': ( $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_93',type,
'#skF_93': ( $i * $i ) > $i ).
tff(is_reflexive_in,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_276',type,
'#skF_276': ( $i * $i ) > $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff('#skF_190',type,
'#skF_190': ( $i * $i * $i * $i ) > $i ).
tff(quasi_total,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff('#skF_247',type,
'#skF_247': ( $i * $i * $i ) > $i ).
tff('#skF_122',type,
'#skF_122': ( $i * $i ) > $i ).
tff('#skF_195',type,
'#skF_195': $i > $i ).
tff('#skF_262',type,
'#skF_262': $i > $i ).
tff('#skF_178',type,
'#skF_178': ( $i * $i * $i ) > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_272',type,
'#skF_272': $i > $i ).
tff('#skF_153',type,
'#skF_153': $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(meet_of_subsets,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff('#skF_188',type,
'#skF_188': ( $i * $i * $i ) > $i ).
tff('#skF_286',type,
'#skF_286': ( $i * $i ) > $i ).
tff('#skF_234',type,
'#skF_234': ( $i * $i * $i ) > $i ).
tff('#skF_237',type,
'#skF_237': ( $i * $i * $i * $i ) > $i ).
tff('#skF_115',type,
'#skF_115': ( $i * $i * $i ) > $i ).
tff('#skF_171',type,
'#skF_171': ( $i * $i ) > $i ).
tff('#skF_255',type,
'#skF_255': ( $i * $i ) > $i ).
tff('#skF_257',type,
'#skF_257': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_139',type,
'#skF_139': $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff('#skF_150',type,
'#skF_150': $i ).
tff('#skF_116',type,
'#skF_116': ( $i * $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_127',type,
'#skF_127': $i > $i ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i ) > $i ).
tff('#skF_111',type,
'#skF_111': $i > $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i ) > $i ).
tff('#skF_206',type,
'#skF_206': ( $i * $i ) > $i ).
tff('#skF_203',type,
'#skF_203': ( $i * $i ) > $i ).
tff(pair_second,type,
pair_second: $i > $i ).
tff('#skF_293',type,
'#skF_293': ( $i * $i ) > $i ).
tff(relation_rng_restriction,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff('#skF_238',type,
'#skF_238': ( $i * $i * $i * $i ) > $i ).
tff('#skF_244',type,
'#skF_244': ( $i * $i * $i * $i ) > $i ).
tff('#skF_131',type,
'#skF_131': $i > $i ).
tff(inclusion_relation,type,
inclusion_relation: $i > $i ).
tff('#skF_165',type,
'#skF_165': $i > $i ).
tff('#skF_280',type,
'#skF_280': ( $i * $i ) > $i ).
tff('#skF_292',type,
'#skF_292': $i > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i ) > $i ).
tff('#skF_99',type,
'#skF_99': ( $i * $i * $i ) > $i ).
tff('#skF_179',type,
'#skF_179': ( $i * $i * $i ) > $i ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_136',type,
'#skF_136': $i ).
tff('#skF_92',type,
'#skF_92': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_160',type,
'#skF_160': ( $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': ( $i * $i * $i ) > $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_191',type,
'#skF_191': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_177',type,
'#skF_177': ( $i * $i * $i ) > $i ).
tff('#skF_211',type,
'#skF_211': ( $i * $i * $i ) > $i ).
tff('#skF_117',type,
'#skF_117': ( $i * $i * $i ) > $i ).
tff('#skF_263',type,
'#skF_263': $i > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i * $i ) > $i ).
tff('#skF_212',type,
'#skF_212': ( $i * $i * $i ) > $i ).
tff('#skF_261',type,
'#skF_261': $i > $i ).
tff('#skF_281',type,
'#skF_281': $i > $i ).
tff('#skF_154',type,
'#skF_154': $i ).
tff('#skF_90',type,
'#skF_90': ( $i * $i * $i ) > $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_209',type,
'#skF_209': ( $i * $i * $i ) > $i ).
tff('#skF_187',type,
'#skF_187': ( $i * $i * $i ) > $i ).
tff('#skF_162',type,
'#skF_162': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff(well_founded_relation,type,
well_founded_relation: $i > $o ).
tff('#skF_278',type,
'#skF_278': ( $i * $i ) > $i ).
tff('#skF_224',type,
'#skF_224': $i > $i ).
tff('#skF_233',type,
'#skF_233': ( $i * $i * $i ) > $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff('#skF_101',type,
'#skF_101': ( $i * $i ) > $i ).
tff('#skF_260',type,
'#skF_260': $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_218',type,
'#skF_218': ( $i * $i * $i * $i ) > $i ).
tff('#skF_172',type,
'#skF_172': ( $i * $i ) > $i ).
tff('#skF_109',type,
'#skF_109': ( $i * $i * $i ) > $i ).
tff('#skF_85',type,
'#skF_85': ( $i * $i ) > $i ).
tff('#skF_173',type,
'#skF_173': ( $i * $i ) > $i ).
tff('#skF_251',type,
'#skF_251': ( $i * $i ) > $i ).
tff('#skF_269',type,
'#skF_269': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i ) > $i ).
tff('#skF_256',type,
'#skF_256': ( $i * $i * $i ) > $i ).
tff('#skF_275',type,
'#skF_275': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': $i > $i ).
tff('#skF_110',type,
'#skF_110': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(is_well_founded_in,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff('#skF_277',type,
'#skF_277': $i > $i ).
tff('#skF_140',type,
'#skF_140': $i ).
tff(identity_relation,type,
identity_relation: $i > $i ).
tff('#skF_156',type,
'#skF_156': ( $i * $i ) > $i ).
tff(function_inverse,type,
function_inverse: $i > $i ).
tff('#skF_88',type,
'#skF_88': ( $i * $i * $i ) > $i ).
tff('#skF_107',type,
'#skF_107': ( $i * $i * $i ) > $i ).
tff('#skF_141',type,
'#skF_141': $i ).
tff('#skF_126',type,
'#skF_126': $i > $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_196',type,
'#skF_196': $i > $i ).
tff('#skF_267',type,
'#skF_267': ( $i * $i * $i ) > $i ).
tff('#skF_146',type,
'#skF_146': $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_152',type,
'#skF_152': $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff('#skF_264',type,
'#skF_264': ( $i * $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i * $i ) > $i ).
tff('#skF_163',type,
'#skF_163': ( $i * $i * $i * $i ) > $i ).
tff('#skF_132',type,
'#skF_132': $i > $i ).
tff('#skF_144',type,
'#skF_144': $i > $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i ) > $i ).
tff('#skF_265',type,
'#skF_265': $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff('#skF_236',type,
'#skF_236': ( $i * $i * $i * $i ) > $i ).
tff('#skF_128',type,
'#skF_128': $i > $i ).
tff(relation_image,type,
relation_image: ( $i * $i ) > $i ).
tff(relation_dom_as_subset,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(relation_composition,type,
relation_composition: ( $i * $i ) > $i ).
tff('#skF_245',type,
'#skF_245': $i > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i * $i ) > $i ).
tff('#skF_239',type,
'#skF_239': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff('#skF_242',type,
'#skF_242': ( $i * $i * $i ) > $i ).
tff('#skF_194',type,
'#skF_194': $i > $i ).
tff('#skF_241',type,
'#skF_241': ( $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_254',type,
'#skF_254': ( $i * $i * $i * $i ) > $i ).
tff('#skF_164',type,
'#skF_164': $i > $i ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_149',type,
'#skF_149': $i > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff('#skF_222',type,
'#skF_222': $i > $i ).
tff(relation_dom_restriction,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff('#skF_217',type,
'#skF_217': ( $i * $i * $i ) > $i ).
tff('#skF_201',type,
'#skF_201': ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i ) > $i ).
tff('#skF_184',type,
'#skF_184': ( $i * $i * $i ) > $i ).
tff('#skF_166',type,
'#skF_166': $i > $i ).
tff('#skF_270',type,
'#skF_270': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff('#skF_200',type,
'#skF_200': ( $i * $i ) > $i ).
tff(well_orders,type,
well_orders: ( $i * $i ) > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(equipotent,type,
equipotent: ( $i * $i ) > $o ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_118',type,
'#skF_118': ( $i * $i ) > $i ).
tff('#skF_170',type,
'#skF_170': ( $i * $i ) > $i ).
tff('#skF_138',type,
'#skF_138': ( $i * $i ) > $i ).
tff('#skF_227',type,
'#skF_227': ( $i * $i ) > $i ).
tff('#skF_223',type,
'#skF_223': $i > $i ).
tff('#skF_283',type,
'#skF_283': ( $i * $i ) > $i ).
tff(relation_of2,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff('#skF_229',type,
'#skF_229': ( $i * $i ) > $i ).
tff('#skF_100',type,
'#skF_100': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(set_meet,type,
set_meet: $i > $i ).
tff('#skF_266',type,
'#skF_266': $i ).
tff('#skF_230',type,
'#skF_230': ( $i * $i ) > $i ).
tff('#skF_167',type,
'#skF_167': $i > $i ).
tff('#skF_86',type,
'#skF_86': ( $i * $i ) > $i ).
tff(relation_isomorphism,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff('#skF_204',type,
'#skF_204': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_182',type,
'#skF_182': ( $i * $i * $i ) > $i ).
tff(being_limit_ordinal,type,
being_limit_ordinal: $i > $o ).
tff(relation_rng_as_subset,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff('#skF_287',type,
'#skF_287': ( $i * $i ) > $i ).
tff('#skF_205',type,
'#skF_205': ( $i * $i ) > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i ) > $i ).
tff('#skF_103',type,
'#skF_103': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_208',type,
'#skF_208': ( $i * $i * $i ) > $i ).
tff('#skF_271',type,
'#skF_271': ( $i * $i * $i * $i ) > $i ).
tff('#skF_102',type,
'#skF_102': ( $i * $i ) > $i ).
tff('#skF_193',type,
'#skF_193': ( $i * $i * $i * $i ) > $i ).
tff('#skF_95',type,
'#skF_95': ( $i * $i * $i ) > $i ).
tff('#skF_185',type,
'#skF_185': ( $i * $i * $i ) > $i ).
tff('#skF_151',type,
'#skF_151': $i > $i ).
tff('#skF_186',type,
'#skF_186': ( $i * $i * $i ) > $i ).
tff('#skF_243',type,
'#skF_243': ( $i * $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff('#skF_285',type,
'#skF_285': ( $i * $i ) > $i ).
tff('#skF_174',type,
'#skF_174': ( $i * $i ) > $i ).
tff('#skF_249',type,
'#skF_249': ( $i * $i ) > $i ).
tff('#skF_176',type,
'#skF_176': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_207',type,
'#skF_207': ( $i * $i * $i ) > $i ).
tff('#skF_259',type,
'#skF_259': $i > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff(relation_restriction,type,
relation_restriction: ( $i * $i ) > $i ).
tff('#skF_274',type,
'#skF_274': $i > $i ).
tff('#skF_142',type,
'#skF_142': $i > $i ).
tff('#skF_192',type,
'#skF_192': ( $i * $i * $i * $i ) > $i ).
tff('#skF_235',type,
'#skF_235': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_284',type,
'#skF_284': ( $i * $i ) > $i ).
tff('#skF_199',type,
'#skF_199': ( $i * $i ) > $i ).
tff('#skF_87',type,
'#skF_87': ( $i * $i ) > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_290',type,
'#skF_290': ( $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff('#skF_157',type,
'#skF_157': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(transitive,type,
transitive: $i > $o ).
tff('#skF_76',type,
'#skF_76': ( $i * $i * $i ) > $i ).
tff('#skF_248',type,
'#skF_248': ( $i * $i ) > $i ).
tff('#skF_169',type,
'#skF_169': ( $i * $i * $i ) > $i ).
tff('#skF_119',type,
'#skF_119': ( $i * $i ) > $i ).
tff('#skF_134',type,
'#skF_134': ( $i * $i ) > $i ).
tff(union_of_subsets,type,
union_of_subsets: ( $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_161',type,
'#skF_161': ( $i * $i ) > $i ).
tff(is_connected_in,type,
is_connected_in: ( $i * $i ) > $o ).
tff('#skF_226',type,
'#skF_226': ( $i * $i ) > $i ).
tff('#skF_105',type,
'#skF_105': ( $i * $i ) > $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(reflexive,type,
reflexive: $i > $o ).
tff(subset_complement,type,
subset_complement: ( $i * $i ) > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_137',type,
'#skF_137': $i ).
tff('#skF_135',type,
'#skF_135': $i ).
tff(is_transitive_in,type,
is_transitive_in: ( $i * $i ) > $o ).
tff('#skF_231',type,
'#skF_231': ( $i * $i ) > $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i * $i ) > $i ).
tff('#skF_143',type,
'#skF_143': $i ).
tff(natural,type,
natural: $i > $o ).
tff(ordinal_subset,type,
ordinal_subset: ( $i * $i ) > $o ).
tff('#skF_202',type,
'#skF_202': ( $i * $i ) > $i ).
tff('#skF_215',type,
'#skF_215': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_159',type,
'#skF_159': ( $i * $i ) > $i ).
tff(is_antisymmetric_in,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff('#skF_158',type,
'#skF_158': ( $i * $i ) > $i ).
tff('#skF_91',type,
'#skF_91': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i ) > $i ).
tff('#skF_89',type,
'#skF_89': ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_273',type,
'#skF_273': $i > $i ).
tff('#skF_197',type,
'#skF_197': $i > $i ).
tff('#skF_168',type,
'#skF_168': $i > $i ).
tff('#skF_288',type,
'#skF_288': $i > $i ).
tff('#skF_258',type,
'#skF_258': $i > $i ).
tff('#skF_147',type,
'#skF_147': ( $i * $i ) > $i ).
tff('#skF_210',type,
'#skF_210': ( $i * $i * $i ) > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_252',type,
'#skF_252': ( $i * $i ) > $i ).
tff('#skF_213',type,
'#skF_213': ( $i * $i * $i ) > $i ).
tff('#skF_120',type,
'#skF_120': ( $i * $i ) > $i ).
tff('#skF_112',type,
'#skF_112': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_250',type,
'#skF_250': ( $i * $i ) > $i ).
tff('#skF_96',type,
'#skF_96': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_291',type,
'#skF_291': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff('#skF_246',type,
'#skF_246': ( $i * $i ) > $i ).
tff('#skF_98',type,
'#skF_98': ( $i * $i ) > $i ).
tff(relation_of2_as_subset,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_232',type,
'#skF_232': ( $i * $i * $i ) > $i ).
tff('#skF_219',type,
'#skF_219': ( $i * $i * $i * $i ) > $i ).
tff('#skF_189',type,
'#skF_189': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': $i > $i ).
tff('#skF_282',type,
'#skF_282': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_125',type,
'#skF_125': $i > $i ).
tff(fiber,type,
fiber: ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(pair_first,type,
pair_first: $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': ( $i * $i ) > $i ).
tff('#skF_155',type,
'#skF_155': $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_2237,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
tff(f_940,axiom,
! [A,B] :
( finite(B)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_finset_1) ).
tff(f_120,axiom,
! [A,B] : ( set_intersection2(A,B) = set_intersection2(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
tff(c_2654,plain,
finite('#skF_265'),
inference(cnfTransformation,[status(thm)],[f_2237]) ).
tff(c_3961,plain,
! [A_3481,B_3482] :
( finite(set_intersection2(A_3481,B_3482))
| ~ finite(B_3482) ),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_52,plain,
! [B_27,A_26] : ( set_intersection2(B_27,A_26) = set_intersection2(A_26,B_27) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_2652,plain,
~ finite(set_intersection2('#skF_265','#skF_266')),
inference(cnfTransformation,[status(thm)],[f_2237]) ).
tff(c_3170,plain,
~ finite(set_intersection2('#skF_266','#skF_265')),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2652]) ).
tff(c_3964,plain,
~ finite('#skF_265'),
inference(resolution,[status(thm)],[c_3961,c_3170]) ).
tff(c_3977,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2654,c_3964]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 11:38:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.95/6.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.08/6.62
% 18.08/6.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.12/6.65
% 18.12/6.65 Inference rules
% 18.12/6.65 ----------------------
% 18.12/6.65 #Ref : 0
% 18.12/6.65 #Sup : 162
% 18.12/6.65 #Fact : 0
% 18.12/6.65 #Define : 0
% 18.12/6.65 #Split : 0
% 18.12/6.65 #Chain : 0
% 18.12/6.65 #Close : 0
% 18.12/6.65
% 18.12/6.65 Ordering : KBO
% 18.12/6.65
% 18.12/6.65 Simplification rules
% 18.12/6.65 ----------------------
% 18.12/6.65 #Subsume : 102
% 18.12/6.65 #Demod : 178
% 18.12/6.65 #Tautology : 194
% 18.12/6.65 #SimpNegUnit : 0
% 18.12/6.65 #BackRed : 49
% 18.12/6.65
% 18.12/6.65 #Partial instantiations: 0
% 18.12/6.65 #Strategies tried : 1
% 18.12/6.65
% 18.12/6.65 Timing (in seconds)
% 18.12/6.65 ----------------------
% 18.12/6.66 Preprocessing : 2.14
% 18.12/6.66 Parsing : 0.80
% 18.12/6.66 CNF conversion : 0.21
% 18.12/6.66 Main loop : 3.44
% 18.12/6.66 Inferencing : 0.20
% 18.12/6.66 Reduction : 1.77
% 18.12/6.66 Demodulation : 1.19
% 18.12/6.66 BG Simplification : 0.21
% 18.12/6.66 Subsumption : 0.90
% 18.12/6.66 Abstraction : 0.10
% 18.12/6.66 MUC search : 0.00
% 18.12/6.66 Cooper : 0.00
% 18.12/6.66 Total : 5.63
% 18.12/6.66 Index Insertion : 0.00
% 18.12/6.66 Index Deletion : 0.00
% 18.12/6.66 Index Matching : 0.00
% 18.12/6.66 BG Taut test : 0.00
%------------------------------------------------------------------------------