TSTP Solution File: SEU354+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU354+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:58:30 EDT 2023

% Result   : Theorem 108.22s 79.89s
% Output   : CNFRefutation 108.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  662
% Syntax   : Number of formulae    :  690 (  24 unt; 656 typ;   0 def)
%            Number of atoms       :   47 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  16   ~;   9   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1357 ( 616   >; 741   *;   0   +;   0  <<)
%            Number of predicates  :   94 (  92 usr;   1 prp; 0-3 aty)
%            Number of functors    :  564 ( 564 usr;  40 con; 0-8 aty)
%            Number of variables   :   20 (;  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v1_partfun1 > relstr_set_smaller > relstr_element_smaller > relation_of2_as_subset > relation_of2 > relation_isomorphism > related_reflexive > related > quasi_total > point_neighbourhood > onto > latt_set_smaller > latt_element_smaller > bijective > below_refl > below > well_orders > v2_binop_1 > v1_binop_1 > subset > proper_subset > proper_element > ordinal_subset > open_subsets > open_subset > is_well_founded_in > is_transitive_in > is_reflexive_in > is_connected_in > is_antisymmetric_in > is_a_cover_of_carrier > in > equipotent > element > disjoint > closed_subsets > closed_subset > are_equipotent > well_ordering > well_founded_relation > v5_membered > v4_membered > v3_membered > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_rat_1 > v1_membered > v1_int_1 > transitive_relstr > transitive > topological_space > top_str > symmetric > strict_rel_str > strict_latt_str > relation_empty_yielding > relation > rel_str > reflexive_relstr > reflexive > preboolean > ordinal > one_to_one > one_sorted_str > natural > meet_semilatt_str > meet_commutative > meet_associative > meet_absorbing > lower_bounded_semilattstr > lattice > latt_str > join_semilatt_str > join_commutative > join_associative > join_absorbing > function > finite > epsilon_transitive > epsilon_connected > empty_carrier > empty > diff_closed > cup_closed > connected > complete_latt_str > compact_top_space > centered > being_limit_ordinal > antisymmetric_relstr > antisymmetric > apply_binary_as_element > ordered_pair_as_product_element > k10_filter_1 > apply_as_element > unordered_triple > subset_union2 > subset_intersection2 > subset_difference > relation_rng_as_subset > relation_dom_as_subset > meet_commut > meet > latt_str_of > join_commut > join > apply_binary > unordered_pair > union_of_subsets > topstr_closure > subset_complement > set_union2 > set_intersection2 > set_difference > relation_rng_restriction > relation_restriction > relation_inverse_image > relation_image > relation_dom_restriction > relation_composition > rel_str_of > ordered_pair > meet_of_subsets > meet_of_latt_set > k8_filter_1 > join_of_latt_set > interior > fiber > complements_of_subsets > cast_to_el_of_lattice > cast_to_el_of_LattPOSet > cartesian_product2 > apply > a_2_3_lattice3 > a_2_2_lattice3 > #nlpp > union > the_topology > the_carrier > the_L_meet > the_L_join > the_InternalRel > succ > singleton > set_meet > relation_rng > relation_of_lattice > relation_inverse > relation_field > relation_dom > powerset > poset_of_lattice > pair_second > pair_first > k2_lattice3 > k1_pcomps_1 > inclusion_relation > identity_relation > identity_on_carrier > identity_as_relation_of > function_inverse > empty_carrier_subset > cast_to_subset > cast_as_carrier_subset > bottom_of_semilattstr > boole_lattice > a_1_0_filter_1 > omega > empty_set > #skF_471 > #skF_279 > #skF_267 > #skF_449 > #skF_452 > #skF_13 > #skF_217 > #skF_172 > #skF_381 > #skF_338 > #skF_91 > #skF_289 > #skF_135 > #skF_108 > #skF_134 > #skF_104 > #skF_199 > #skF_32 > #skF_268 > #skF_26 > #skF_24 > #skF_337 > #skF_412 > #skF_81 > #skF_441 > #skF_190 > #skF_62 > #skF_349 > #skF_377 > #skF_427 > #skF_302 > #skF_311 > #skF_386 > #skF_110 > #skF_41 > #skF_73 > #skF_257 > #skF_369 > #skF_228 > #skF_182 > #skF_296 > #skF_316 > #skF_17 > #skF_477 > #skF_205 > #skF_401 > #skF_370 > #skF_473 > #skF_416 > #skF_250 > #skF_236 > #skF_215 > #skF_57 > #skF_148 > #skF_56 > #skF_191 > #skF_399 > #skF_437 > #skF_421 > #skF_144 > #skF_114 > #skF_411 > #skF_130 > #skF_186 > #skF_238 > #skF_476 > #skF_113 > #skF_366 > #skF_206 > #skF_124 > #skF_451 > #skF_380 > #skF_111 > #skF_173 > #skF_27 > #skF_178 > #skF_93 > #skF_171 > #skF_270 > #skF_220 > #skF_6 > #skF_352 > #skF_276 > #skF_181 > #skF_378 > #skF_398 > #skF_409 > #skF_44 > #skF_122 > #skF_195 > #skF_127 > #skF_396 > #skF_126 > #skF_317 > #skF_404 > #skF_19 > #skF_53 > #skF_304 > #skF_384 > #skF_18 > #skF_88 > #skF_273 > #skF_20 > #skF_458 > #skF_387 > #skF_454 > #skF_196 > #skF_371 > #skF_79 > #skF_112 > #skF_277 > #skF_475 > #skF_115 > #skF_216 > #skF_440 > #skF_420 > #skF_395 > #skF_255 > #skF_389 > #skF_37 > #skF_150 > #skF_394 > #skF_188 > #skF_356 > #skF_306 > #skF_286 > #skF_263 > #skF_375 > #skF_391 > #skF_332 > #skF_165 > #skF_22 > #skF_72 > #skF_64 > #skF_469 > #skF_131 > #skF_314 > #skF_417 > #skF_280 > #skF_460 > #skF_66 > #skF_357 > #skF_185 > #skF_301 > #skF_40 > #skF_430 > #skF_321 > #skF_136 > #skF_52 > #skF_346 > #skF_92 > #skF_474 > #skF_142 > #skF_432 > #skF_200 > #skF_312 > #skF_121 > #skF_65 > #skF_293 > #skF_209 > #skF_453 > #skF_281 > #skF_319 > #skF_12 > #skF_328 > #skF_487 > #skF_309 > #skF_235 > #skF_3 > #skF_344 > #skF_291 > #skF_374 > #skF_282 > #skF_180 > #skF_419 > #skF_245 > #skF_69 > #skF_485 > #skF_207 > #skF_359 > #skF_29 > #skF_467 > #skF_225 > #skF_425 > #skF_240 > #skF_162 > #skF_259 > #skF_299 > #skF_202 > #skF_184 > #skF_198 > #skF_351 > #skF_253 > #skF_102 > #skF_324 > #skF_313 > #skF_358 > #skF_87 > #skF_284 > #skF_278 > #skF_459 > #skF_393 > #skF_151 > #skF_405 > #skF_101 > #skF_390 > #skF_30 > #skF_143 > #skF_78 > #skF_292 > #skF_400 > #skF_450 > #skF_23 > #skF_348 > #skF_201 > #skF_256 > #skF_323 > #skF_275 > #skF_163 > #skF_160 > #skF_343 > #skF_156 > #skF_290 > #skF_363 > #skF_385 > #skF_74 > #skF_161 > #skF_175 > #skF_33 > #skF_414 > #skF_260 > #skF_5 > #skF_49 > #skF_152 > #skF_415 > #skF_193 > #skF_38 > #skF_438 > #skF_444 > #skF_137 > #skF_177 > #skF_434 > #skF_132 > #skF_141 > #skF_54 > #skF_179 > #skF_149 > #skF_208 > #skF_99 > #skF_224 > #skF_362 > #skF_342 > #skF_287 > #skF_97 > #skF_244 > #skF_251 > #skF_307 > #skF_266 > #skF_239 > #skF_42 > #skF_379 > #skF_483 > #skF_153 > #skF_463 > #skF_107 > #skF_355 > #skF_164 > #skF_51 > #skF_300 > #skF_376 > #skF_98 > #skF_94 > #skF_334 > #skF_11 > #skF_367 > #skF_446 > #skF_297 > #skF_194 > #skF_231 > #skF_212 > #skF_90 > #skF_166 > #skF_71 > #skF_269 > #skF_222 > #skF_472 > #skF_424 > #skF_329 > #skF_7 > #skF_295 > #skF_223 > #skF_298 > #skF_252 > #skF_118 > #skF_234 > #skF_170 > #skF_39 > #skF_227 > #skF_60 > #skF_325 > #skF_274 > #skF_229 > #skF_294 > #skF_100 > #skF_9 > #skF_347 > #skF_486 > #skF_350 > #skF_211 > #skF_31 > #skF_146 > #skF_167 > #skF_480 > #skF_232 > #skF_479 > #skF_218 > #skF_145 > #skF_465 > #skF_34 > #skF_15 > #skF_413 > #skF_333 > #skF_203 > #skF_407 > #skF_213 > #skF_103 > #skF_128 > #skF_14 > #skF_50 > #skF_67 > #skF_320 > #skF_315 > #skF_89 > #skF_116 > #skF_140 > #skF_308 > #skF_258 > #skF_335 > #skF_461 > #skF_147 > #skF_422 > #skF_456 > #skF_265 > #skF_262 > #skF_192 > #skF_403 > #skF_464 > #skF_242 > #skF_174 > #skF_233 > #skF_448 > #skF_468 > #skF_249 > #skF_285 > #skF_373 > #skF_264 > #skF_330 > #skF_340 > #skF_254 > #skF_58 > #skF_95 > #skF_372 > #skF_410 > #skF_397 > #skF_402 > #skF_431 > #skF_84 > #skF_423 > #skF_288 > #skF_322 > #skF_59 > #skF_169 > #skF_55 > #skF_157 > #skF_80 > #skF_2 > #skF_77 > #skF_353 > #skF_247 > #skF_133 > #skF_21 > #skF_76 > #skF_388 > #skF_365 > #skF_248 > #skF_125 > #skF_327 > #skF_418 > #skF_119 > #skF_462 > #skF_331 > #skF_382 > #skF_241 > #skF_219 > #skF_466 > #skF_230 > #skF_48 > #skF_272 > #skF_226 > #skF_426 > #skF_159 > #skF_187 > #skF_176 > #skF_105 > #skF_120 > #skF_189 > #skF_447 > #skF_83 > #skF_303 > #skF_154 > #skF_443 > #skF_106 > #skF_68 > #skF_261 > #skF_82 > #skF_271 > #skF_470 > #skF_123 > #skF_360 > #skF_8 > #skF_139 > #skF_345 > #skF_36 > #skF_158 > #skF_75 > #skF_305 > #skF_25 > #skF_155 > #skF_481 > #skF_43 > #skF_455 > #skF_368 > #skF_326 > #skF_482 > #skF_433 > #skF_35 > #skF_168 > #skF_406 > #skF_442 > #skF_85 > #skF_183 > #skF_46 > #skF_478 > #skF_237 > #skF_61 > #skF_210 > #skF_204 > #skF_361 > #skF_1 > #skF_439 > #skF_214 > #skF_221 > #skF_336 > #skF_246 > #skF_45 > #skF_408 > #skF_129 > #skF_484 > #skF_428 > #skF_436 > #skF_445 > #skF_283 > #skF_310 > #skF_435 > #skF_96 > #skF_28 > #skF_197 > #skF_86 > #skF_364 > #skF_383 > #skF_70 > #skF_4 > #skF_429 > #skF_63 > #skF_392 > #skF_117 > #skF_16 > #skF_10 > #skF_354 > #skF_138 > #skF_243 > #skF_47 > #skF_457 > #skF_318 > #skF_341 > #skF_109 > #skF_339

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(omega,type,
    omega: $i ).

tff('#skF_471',type,
    '#skF_471': $i > $i ).

tff('#skF_279',type,
    '#skF_279': ( $i * $i ) > $i ).

tff('#skF_267',type,
    '#skF_267': ( $i * $i * $i * $i ) > $i ).

tff('#skF_449',type,
    '#skF_449': ( $i * $i * $i ) > $i ).

tff('#skF_452',type,
    '#skF_452': $i > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_217',type,
    '#skF_217': $i > $i ).

tff(well_ordering,type,
    well_ordering: $i > $o ).

tff(subset_intersection2,type,
    subset_intersection2: ( $i * $i * $i ) > $i ).

tff(k1_pcomps_1,type,
    k1_pcomps_1: $i > $i ).

tff('#skF_172',type,
    '#skF_172': $i ).

tff(epsilon_connected,type,
    epsilon_connected: $i > $o ).

tff('#skF_381',type,
    '#skF_381': ( $i * $i * $i ) > $i ).

tff('#skF_338',type,
    '#skF_338': ( $i * $i ) > $i ).

tff('#skF_91',type,
    '#skF_91': $i > $i ).

tff(are_equipotent,type,
    are_equipotent: ( $i * $i ) > $o ).

tff('#skF_289',type,
    '#skF_289': $i > $i ).

tff('#skF_135',type,
    '#skF_135': $i > $i ).

tff('#skF_108',type,
    '#skF_108': ( $i * $i * $i ) > $i ).

tff(subset_difference,type,
    subset_difference: ( $i * $i * $i ) > $i ).

tff('#skF_134',type,
    '#skF_134': $i > $i ).

tff('#skF_104',type,
    '#skF_104': ( $i * $i ) > $i ).

tff(antisymmetric,type,
    antisymmetric: $i > $o ).

tff('#skF_199',type,
    '#skF_199': $i > $i ).

tff('#skF_32',type,
    '#skF_32': ( $i * $i * $i ) > $i ).

tff(bottom_of_semilattstr,type,
    bottom_of_semilattstr: $i > $i ).

tff('#skF_268',type,
    '#skF_268': $i > $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i ) > $i ).

tff('#skF_337',type,
    '#skF_337': ( $i * $i ) > $i ).

tff('#skF_412',type,
    '#skF_412': $i > $i ).

tff('#skF_81',type,
    '#skF_81': ( $i * $i * $i ) > $i ).

tff('#skF_441',type,
    '#skF_441': ( $i * $i ) > $i ).

tff('#skF_190',type,
    '#skF_190': $i ).

tff(complements_of_subsets,type,
    complements_of_subsets: ( $i * $i ) > $i ).

tff(empty_carrier,type,
    empty_carrier: $i > $o ).

tff('#skF_62',type,
    '#skF_62': ( $i * $i ) > $i ).

tff('#skF_349',type,
    '#skF_349': ( $i * $i * $i ) > $i ).

tff(identity_on_carrier,type,
    identity_on_carrier: $i > $i ).

tff(relation_field,type,
    relation_field: $i > $i ).

tff(relation,type,
    relation: $i > $o ).

tff('#skF_377',type,
    '#skF_377': ( $i * $i ) > $i ).

tff('#skF_427',type,
    '#skF_427': $i > $i ).

tff(cast_to_subset,type,
    cast_to_subset: $i > $i ).

tff('#skF_302',type,
    '#skF_302': ( $i * $i ) > $i ).

tff(union,type,
    union: $i > $i ).

tff('#skF_311',type,
    '#skF_311': ( $i * $i ) > $i ).

tff('#skF_386',type,
    '#skF_386': ( $i * $i * $i * $i ) > $i ).

tff('#skF_110',type,
    '#skF_110': ( $i * $i * $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_257',type,
    '#skF_257': ( $i * $i * $i ) > $i ).

tff('#skF_369',type,
    '#skF_369': ( $i * $i ) > $i ).

tff(latt_set_smaller,type,
    latt_set_smaller: ( $i * $i * $i ) > $o ).

tff('#skF_228',type,
    '#skF_228': ( $i * $i ) > $i ).

tff('#skF_182',type,
    '#skF_182': $i > $i ).

tff('#skF_296',type,
    '#skF_296': ( $i * $i * $i ) > $i ).

tff('#skF_316',type,
    '#skF_316': ( $i * $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_477',type,
    '#skF_477': ( $i * $i ) > $i ).

tff('#skF_205',type,
    '#skF_205': $i ).

tff(the_InternalRel,type,
    the_InternalRel: $i > $i ).

tff('#skF_401',type,
    '#skF_401': ( $i * $i * $i ) > $i ).

tff('#skF_370',type,
    '#skF_370': ( $i * $i * $i ) > $i ).

tff(cup_closed,type,
    cup_closed: $i > $o ).

tff('#skF_473',type,
    '#skF_473': ( $i * $i * $i ) > $i ).

tff(related_reflexive,type,
    related_reflexive: ( $i * $i * $i ) > $o ).

tff('#skF_416',type,
    '#skF_416': ( $i * $i ) > $i ).

tff('#skF_250',type,
    '#skF_250': ( $i * $i * $i * $i * $i ) > $i ).

tff(topstr_closure,type,
    topstr_closure: ( $i * $i ) > $i ).

tff('#skF_236',type,
    '#skF_236': $i ).

tff('#skF_215',type,
    '#skF_215': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_57',type,
    '#skF_57': ( $i * $i ) > $i ).

tff(connected,type,
    connected: $i > $o ).

tff(empty_carrier_subset,type,
    empty_carrier_subset: $i > $i ).

tff('#skF_148',type,
    '#skF_148': $i ).

tff('#skF_56',type,
    '#skF_56': ( $i * $i ) > $i ).

tff('#skF_191',type,
    '#skF_191': $i > $i ).

tff('#skF_399',type,
    '#skF_399': ( $i * $i ) > $i ).

tff(relation_inverse,type,
    relation_inverse: $i > $i ).

tff('#skF_437',type,
    '#skF_437': ( $i * $i ) > $i ).

tff('#skF_421',type,
    '#skF_421': ( $i * $i ) > $i ).

tff('#skF_144',type,
    '#skF_144': ( $i * $i ) > $i ).

tff('#skF_114',type,
    '#skF_114': ( $i * $i ) > $i ).

tff(singleton,type,
    singleton: $i > $i ).

tff('#skF_411',type,
    '#skF_411': ( $i * $i * $i * $i ) > $i ).

tff('#skF_130',type,
    '#skF_130': ( $i * $i * $i ) > $i ).

tff('#skF_186',type,
    '#skF_186': $i > $i ).

tff('#skF_238',type,
    '#skF_238': $i ).

tff('#skF_476',type,
    '#skF_476': ( $i * $i ) > $i ).

tff('#skF_113',type,
    '#skF_113': ( $i * $i ) > $i ).

tff('#skF_366',type,
    '#skF_366': $i > $i ).

tff('#skF_206',type,
    '#skF_206': $i > $i ).

tff(related,type,
    related: ( $i * $i * $i ) > $o ).

tff('#skF_124',type,
    '#skF_124': ( $i * $i ) > $i ).

tff('#skF_451',type,
    '#skF_451': $i > $i ).

tff('#skF_380',type,
    '#skF_380': ( $i * $i ) > $i ).

tff('#skF_111',type,
    '#skF_111': ( $i * $i * $i ) > $i ).

tff('#skF_173',type,
    '#skF_173': $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i ) > $i ).

tff('#skF_178',type,
    '#skF_178': $i ).

tff('#skF_93',type,
    '#skF_93': ( $i * $i ) > $i ).

tff('#skF_171',type,
    '#skF_171': $i ).

tff('#skF_270',type,
    '#skF_270': $i > $i ).

tff(is_reflexive_in,type,
    is_reflexive_in: ( $i * $i ) > $o ).

tff('#skF_220',type,
    '#skF_220': $i > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

tff('#skF_352',type,
    '#skF_352': ( $i * $i * $i * $i ) > $i ).

tff('#skF_276',type,
    '#skF_276': ( $i * $i ) > $i ).

tff('#skF_181',type,
    '#skF_181': $i > $i ).

tff(apply,type,
    apply: ( $i * $i ) > $i ).

tff('#skF_378',type,
    '#skF_378': ( $i * $i ) > $i ).

tff(meet_commut,type,
    meet_commut: ( $i * $i * $i ) > $i ).

tff('#skF_398',type,
    '#skF_398': ( $i * $i ) > $i ).

tff('#skF_409',type,
    '#skF_409': ( $i * $i * $i ) > $i ).

tff('#skF_44',type,
    '#skF_44': ( $i * $i ) > $i ).

tff(quasi_total,type,
    quasi_total: ( $i * $i * $i ) > $o ).

tff('#skF_122',type,
    '#skF_122': ( $i * $i ) > $i ).

tff(lower_bounded_semilattstr,type,
    lower_bounded_semilattstr: $i > $o ).

tff('#skF_195',type,
    '#skF_195': $i > $i ).

tff('#skF_127',type,
    '#skF_127': ( $i * $i * $i ) > $i ).

tff('#skF_396',type,
    '#skF_396': ( $i * $i ) > $i ).

tff('#skF_126',type,
    '#skF_126': ( $i * $i ) > $i ).

tff(v1_partfun1,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff('#skF_317',type,
    '#skF_317': ( $i * $i * $i ) > $i ).

tff('#skF_404',type,
    '#skF_404': ( $i * $i * $i * $i ) > $i ).

tff(closed_subsets,type,
    closed_subsets: ( $i * $i ) > $o ).

tff(unordered_pair,type,
    unordered_pair: ( $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff('#skF_53',type,
    '#skF_53': ( $i * $i ) > $i ).

tff('#skF_304',type,
    '#skF_304': ( $i * $i * $i ) > $i ).

tff('#skF_384',type,
    '#skF_384': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(the_carrier,type,
    the_carrier: $i > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i ) > $i ).

tff('#skF_88',type,
    '#skF_88': ( $i * $i ) > $i ).

tff(epsilon_transitive,type,
    epsilon_transitive: $i > $o ).

tff(v1_int_1,type,
    v1_int_1: $i > $o ).

tff('#skF_273',type,
    '#skF_273': ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i ) > $i ).

tff(meet_of_subsets,type,
    meet_of_subsets: ( $i * $i ) > $i ).

tff('#skF_458',type,
    '#skF_458': ( $i * $i * $i ) > $i ).

tff(symmetric,type,
    symmetric: $i > $o ).

tff('#skF_387',type,
    '#skF_387': ( $i * $i * $i * $i ) > $i ).

tff('#skF_454',type,
    '#skF_454': ( $i * $i * $i ) > $i ).

tff('#skF_196',type,
    '#skF_196': $i ).

tff('#skF_371',type,
    '#skF_371': ( $i * $i * $i ) > $i ).

tff('#skF_79',type,
    '#skF_79': $i > $i ).

tff(relstr_set_smaller,type,
    relstr_set_smaller: ( $i * $i * $i ) > $o ).

tff('#skF_112',type,
    '#skF_112': ( $i * $i ) > $i ).

tff('#skF_277',type,
    '#skF_277': ( $i * $i ) > $i ).

tff('#skF_475',type,
    '#skF_475': ( $i * $i ) > $i ).

tff('#skF_115',type,
    '#skF_115': ( $i * $i * $i ) > $i ).

tff('#skF_216',type,
    '#skF_216': ( $i * $i * $i * $i ) > $i ).

tff('#skF_440',type,
    '#skF_440': ( $i * $i * $i ) > $i ).

tff('#skF_420',type,
    '#skF_420': ( $i * $i ) > $i ).

tff('#skF_395',type,
    '#skF_395': ( $i * $i * $i ) > $i ).

tff(element,type,
    element: ( $i * $i ) > $o ).

tff(finite,type,
    finite: $i > $o ).

tff(compact_top_space,type,
    compact_top_space: $i > $o ).

tff('#skF_255',type,
    '#skF_255': ( $i * $i * $i ) > $i ).

tff('#skF_389',type,
    '#skF_389': ( $i * $i * $i ) > $i ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff('#skF_150',type,
    '#skF_150': $i ).

tff(proper_element,type,
    proper_element: ( $i * $i ) > $o ).

tff('#skF_394',type,
    '#skF_394': ( $i * $i ) > $i ).

tff(ordered_pair,type,
    ordered_pair: ( $i * $i ) > $i ).

tff('#skF_188',type,
    '#skF_188': $i ).

tff('#skF_356',type,
    '#skF_356': ( $i * $i * $i ) > $i ).

tff('#skF_306',type,
    '#skF_306': ( $i * $i ) > $i ).

tff('#skF_286',type,
    '#skF_286': $i > $i ).

tff('#skF_263',type,
    '#skF_263': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_375',type,
    '#skF_375': ( $i * $i ) > $i ).

tff('#skF_391',type,
    '#skF_391': $i > $i ).

tff('#skF_332',type,
    '#skF_332': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(one_to_one,type,
    one_to_one: $i > $o ).

tff('#skF_165',type,
    '#skF_165': ( $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i ) > $i ).

tff('#skF_72',type,
    '#skF_72': ( $i * $i ) > $i ).

tff(join,type,
    join: ( $i * $i * $i ) > $i ).

tff(pair_second,type,
    pair_second: $i > $i ).

tff('#skF_64',type,
    '#skF_64': ( $i * $i ) > $i ).

tff(relation_rng_restriction,type,
    relation_rng_restriction: ( $i * $i ) > $i ).

tff(join_absorbing,type,
    join_absorbing: $i > $o ).

tff('#skF_469',type,
    '#skF_469': ( $i * $i ) > $i ).

tff('#skF_131',type,
    '#skF_131': $i > $i ).

tff('#skF_314',type,
    '#skF_314': ( $i * $i ) > $i ).

tff(inclusion_relation,type,
    inclusion_relation: $i > $i ).

tff('#skF_417',type,
    '#skF_417': ( $i * $i ) > $i ).

tff('#skF_280',type,
    '#skF_280': ( $i * $i ) > $i ).

tff(below_refl,type,
    below_refl: ( $i * $i * $i ) > $o ).

tff('#skF_460',type,
    '#skF_460': $i > $i ).

tff('#skF_66',type,
    '#skF_66': ( $i * $i * $i ) > $i ).

tff('#skF_357',type,
    '#skF_357': ( $i * $i * $i ) > $i ).

tff('#skF_185',type,
    '#skF_185': $i ).

tff('#skF_301',type,
    '#skF_301': ( $i * $i ) > $i ).

tff('#skF_40',type,
    '#skF_40': $i > $i ).

tff('#skF_430',type,
    '#skF_430': ( $i * $i ) > $i ).

tff('#skF_321',type,
    '#skF_321': ( $i * $i ) > $i ).

tff(relation_inverse_image,type,
    relation_inverse_image: ( $i * $i ) > $i ).

tff('#skF_136',type,
    '#skF_136': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_52',type,
    '#skF_52': ( $i * $i * $i ) > $i ).

tff(function,type,
    function: $i > $o ).

tff('#skF_346',type,
    '#skF_346': ( $i * $i * $i ) > $i ).

tff('#skF_92',type,
    '#skF_92': ( $i * $i ) > $i ).

tff('#skF_474',type,
    '#skF_474': ( $i * $i ) > $i ).

tff('#skF_142',type,
    '#skF_142': ( $i * $i ) > $i ).

tff('#skF_432',type,
    '#skF_432': ( $i * $i ) > $i ).

tff('#skF_200',type,
    '#skF_200': $i ).

tff('#skF_312',type,
    '#skF_312': ( $i * $i ) > $i ).

tff('#skF_121',type,
    '#skF_121': ( $i * $i ) > $i ).

tff('#skF_65',type,
    '#skF_65': ( $i * $i ) > $i ).

tff('#skF_293',type,
    '#skF_293': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_209',type,
    '#skF_209': ( $i * $i ) > $i ).

tff('#skF_453',type,
    '#skF_453': ( $i * $i * $i ) > $i ).

tff('#skF_281',type,
    '#skF_281': ( $i * $i * $i ) > $i ).

tff(meet_semilatt_str,type,
    meet_semilatt_str: $i > $o ).

tff('#skF_319',type,
    '#skF_319': ( $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i * $i ) > $i ).

tff('#skF_328',type,
    '#skF_328': ( $i * $i * $i ) > $i ).

tff(relation_empty_yielding,type,
    relation_empty_yielding: $i > $o ).

tff('#skF_487',type,
    '#skF_487': ( $i * $i ) > $i ).

tff('#skF_309',type,
    '#skF_309': ( $i * $i * $i ) > $i ).

tff('#skF_235',type,
    '#skF_235': $i > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_344',type,
    '#skF_344': ( $i * $i * $i ) > $i ).

tff('#skF_291',type,
    '#skF_291': $i > $i ).

tff(apply_binary,type,
    apply_binary: ( $i * $i * $i ) > $i ).

tff('#skF_374',type,
    '#skF_374': ( $i * $i * $i * $i ) > $i ).

tff('#skF_282',type,
    '#skF_282': ( $i * $i * $i ) > $i ).

tff('#skF_180',type,
    '#skF_180': $i ).

tff('#skF_419',type,
    '#skF_419': ( $i * $i ) > $i ).

tff('#skF_245',type,
    '#skF_245': ( $i * $i ) > $i ).

tff('#skF_69',type,
    '#skF_69': ( $i * $i ) > $i ).

tff(onto,type,
    onto: ( $i * $i * $i ) > $o ).

tff('#skF_485',type,
    '#skF_485': ( $i * $i ) > $i ).

tff('#skF_207',type,
    '#skF_207': $i > $i ).

tff('#skF_359',type,
    '#skF_359': ( $i * $i * $i ) > $i ).

tff(antisymmetric_relstr,type,
    antisymmetric_relstr: $i > $o ).

tff('#skF_29',type,
    '#skF_29': ( $i * $i * $i ) > $i ).

tff(the_L_join,type,
    the_L_join: $i > $i ).

tff(ordered_pair_as_product_element,type,
    ordered_pair_as_product_element: ( $i * $i * $i * $i ) > $i ).

tff(join_commut,type,
    join_commut: ( $i * $i * $i ) > $i ).

tff('#skF_467',type,
    '#skF_467': ( $i * $i ) > $i ).

tff(open_subset,type,
    open_subset: ( $i * $i ) > $o ).

tff('#skF_225',type,
    '#skF_225': ( $i * $i * $i * $i ) > $i ).

tff(meet_associative,type,
    meet_associative: $i > $o ).

tff('#skF_425',type,
    '#skF_425': $i > $i ).

tff('#skF_240',type,
    '#skF_240': $i ).

tff('#skF_162',type,
    '#skF_162': $i > $i ).

tff('#skF_259',type,
    '#skF_259': ( $i * $i * $i ) > $i ).

tff('#skF_299',type,
    '#skF_299': ( $i * $i ) > $i ).

tff('#skF_202',type,
    '#skF_202': $i > $i ).

tff('#skF_184',type,
    '#skF_184': $i > $i ).

tff('#skF_198',type,
    '#skF_198': $i ).

tff(identity_as_relation_of,type,
    identity_as_relation_of: $i > $i ).

tff('#skF_351',type,
    '#skF_351': ( $i * $i * $i * $i ) > $i ).

tff('#skF_253',type,
    '#skF_253': ( $i * $i * $i ) > $i ).

tff('#skF_102',type,
    '#skF_102': ( $i * $i * $i ) > $i ).

tff(ordinal,type,
    ordinal: $i > $o ).

tff('#skF_324',type,
    '#skF_324': ( $i * $i * $i ) > $i ).

tff('#skF_313',type,
    '#skF_313': ( $i * $i ) > $i ).

tff('#skF_358',type,
    '#skF_358': ( $i * $i * $i ) > $i ).

tff('#skF_87',type,
    '#skF_87': ( $i * $i * $i * $i ) > $i ).

tff(well_founded_relation,type,
    well_founded_relation: $i > $o ).

tff('#skF_284',type,
    '#skF_284': $i > $i ).

tff('#skF_278',type,
    '#skF_278': ( $i * $i ) > $i ).

tff('#skF_459',type,
    '#skF_459': ( $i * $i * $i * $i ) > $i ).

tff(latt_str,type,
    latt_str: $i > $o ).

tff('#skF_393',type,
    '#skF_393': ( $i * $i * $i * $i ) > $i ).

tff('#skF_151',type,
    '#skF_151': $i ).

tff('#skF_405',type,
    '#skF_405': ( $i * $i * $i ) > $i ).

tff(proper_subset,type,
    proper_subset: ( $i * $i ) > $o ).

tff('#skF_101',type,
    '#skF_101': ( $i * $i ) > $i ).

tff('#skF_390',type,
    '#skF_390': ( $i * $i * $i ) > $i ).

tff(in,type,
    in: ( $i * $i ) > $o ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i * $i ) > $i ).

tff('#skF_143',type,
    '#skF_143': ( $i * $i ) > $i ).

tff(strict_rel_str,type,
    strict_rel_str: $i > $o ).

tff('#skF_78',type,
    '#skF_78': ( $i * $i ) > $i ).

tff('#skF_292',type,
    '#skF_292': ( $i * $i * $i * $i ) > $i ).

tff('#skF_400',type,
    '#skF_400': ( $i * $i * $i ) > $i ).

tff('#skF_450',type,
    '#skF_450': ( $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i ) > $i ).

tff('#skF_348',type,
    '#skF_348': ( $i * $i * $i ) > $i ).

tff('#skF_201',type,
    '#skF_201': $i ).

tff('#skF_256',type,
    '#skF_256': ( $i * $i * $i ) > $i ).

tff('#skF_323',type,
    '#skF_323': ( $i * $i * $i ) > $i ).

tff('#skF_275',type,
    '#skF_275': ( $i * $i ) > $i ).

tff(a_1_0_filter_1,type,
    a_1_0_filter_1: $i > $i ).

tff(reflexive_relstr,type,
    reflexive_relstr: $i > $o ).

tff(one_sorted_str,type,
    one_sorted_str: $i > $o ).

tff(is_a_cover_of_carrier,type,
    is_a_cover_of_carrier: ( $i * $i ) > $o ).

tff('#skF_163',type,
    '#skF_163': $i > $i ).

tff(subset,type,
    subset: ( $i * $i ) > $o ).

tff(preboolean,type,
    preboolean: $i > $o ).

tff(is_well_founded_in,type,
    is_well_founded_in: ( $i * $i ) > $o ).

tff('#skF_160',type,
    '#skF_160': ( $i * $i * $i ) > $i ).

tff('#skF_343',type,
    '#skF_343': ( $i * $i * $i ) > $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_290',type,
    '#skF_290': ( $i * $i ) > $i ).

tff('#skF_363',type,
    '#skF_363': ( $i * $i * $i * $i ) > $i ).

tff(relation_of_lattice,type,
    relation_of_lattice: $i > $i ).

tff('#skF_385',type,
    '#skF_385': ( $i * $i * $i * $i ) > $i ).

tff('#skF_74',type,
    '#skF_74': ( $i * $i ) > $i ).

tff('#skF_161',type,
    '#skF_161': $i > $i ).

tff('#skF_175',type,
    '#skF_175': $i ).

tff(cast_to_el_of_lattice,type,
    cast_to_el_of_lattice: ( $i * $i ) > $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i ) > $i ).

tff('#skF_414',type,
    '#skF_414': ( $i * $i ) > $i ).

tff('#skF_260',type,
    '#skF_260': ( $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i ) > $i ).

tff(latt_str_of,type,
    latt_str_of: ( $i * $i * $i ) > $i ).

tff('#skF_49',type,
    '#skF_49': ( $i * $i ) > $i ).

tff('#skF_152',type,
    '#skF_152': $i ).

tff('#skF_415',type,
    '#skF_415': ( $i * $i * $i ) > $i ).

tff(set_intersection2,type,
    set_intersection2: ( $i * $i ) > $i ).

tff(diff_closed,type,
    diff_closed: $i > $o ).

tff(k8_filter_1,type,
    k8_filter_1: ( $i * $i ) > $i ).

tff('#skF_193',type,
    '#skF_193': $i > $i ).

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff('#skF_438',type,
    '#skF_438': ( $i * $i ) > $i ).

tff(transitive_relstr,type,
    transitive_relstr: $i > $o ).

tff(latt_element_smaller,type,
    latt_element_smaller: ( $i * $i * $i ) > $o ).

tff('#skF_444',type,
    '#skF_444': $i ).

tff('#skF_137',type,
    '#skF_137': ( $i * $i * $i ) > $i ).

tff('#skF_177',type,
    '#skF_177': $i ).

tff(rel_str_of,type,
    rel_str_of: ( $i * $i ) > $i ).

tff(v3_membered,type,
    v3_membered: $i > $o ).

tff(a_2_3_lattice3,type,
    a_2_3_lattice3: ( $i * $i ) > $i ).

tff('#skF_434',type,
    '#skF_434': ( $i * $i * $i ) > $i ).

tff('#skF_132',type,
    '#skF_132': $i > $i ).

tff(meet_of_latt_set,type,
    meet_of_latt_set: ( $i * $i ) > $i ).

tff('#skF_141',type,
    '#skF_141': ( $i * $i * $i ) > $i ).

tff('#skF_54',type,
    '#skF_54': ( $i * $i ) > $i ).

tff('#skF_179',type,
    '#skF_179': $i ).

tff('#skF_149',type,
    '#skF_149': $i ).

tff('#skF_208',type,
    '#skF_208': $i ).

tff('#skF_99',type,
    '#skF_99': ( $i * $i ) > $i ).

tff('#skF_224',type,
    '#skF_224': ( $i * $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_362',type,
    '#skF_362': ( $i * $i * $i * $i ) > $i ).

tff('#skF_342',type,
    '#skF_342': ( $i * $i * $i ) > $i ).

tff('#skF_287',type,
    '#skF_287': $i > $i ).

tff('#skF_97',type,
    '#skF_97': ( $i * $i * $i ) > $i ).

tff('#skF_244',type,
    '#skF_244': ( $i * $i ) > $i ).

tff('#skF_251',type,
    '#skF_251': ( $i * $i * $i ) > $i ).

tff('#skF_307',type,
    '#skF_307': ( $i * $i ) > $i ).

tff('#skF_266',type,
    '#skF_266': ( $i * $i * $i * $i ) > $i ).

tff(cast_as_carrier_subset,type,
    cast_as_carrier_subset: $i > $i ).

tff('#skF_239',type,
    '#skF_239': ( $i * $i ) > $i ).

tff('#skF_42',type,
    '#skF_42': ( $i * $i ) > $i ).

tff('#skF_379',type,
    '#skF_379': ( $i * $i ) > $i ).

tff('#skF_483',type,
    '#skF_483': $i ).

tff('#skF_153',type,
    '#skF_153': ( $i * $i ) > $i ).

tff(empty,type,
    empty: $i > $o ).

tff('#skF_463',type,
    '#skF_463': ( $i * $i ) > $i ).

tff('#skF_107',type,
    '#skF_107': ( $i * $i ) > $i ).

tff('#skF_355',type,
    '#skF_355': ( $i * $i * $i ) > $i ).

tff(closed_subset,type,
    closed_subset: ( $i * $i ) > $o ).

tff('#skF_164',type,
    '#skF_164': $i > $i ).

tff(disjoint,type,
    disjoint: ( $i * $i ) > $o ).

tff(strict_latt_str,type,
    strict_latt_str: $i > $o ).

tff('#skF_51',type,
    '#skF_51': ( $i * $i ) > $i ).

tff('#skF_300',type,
    '#skF_300': ( $i * $i ) > $i ).

tff('#skF_376',type,
    '#skF_376': ( $i * $i ) > $i ).

tff('#skF_98',type,
    '#skF_98': ( $i * $i * $i ) > $i ).

tff(v1_xreal_0,type,
    v1_xreal_0: $i > $o ).

tff(relation_dom_restriction,type,
    relation_dom_restriction: ( $i * $i ) > $i ).

tff('#skF_94',type,
    '#skF_94': ( $i * $i ) > $i ).

tff('#skF_334',type,
    '#skF_334': ( $i * $i * $i * $i ) > $i ).

tff(the_topology,type,
    the_topology: $i > $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i ) > $i ).

tff('#skF_367',type,
    '#skF_367': $i > $i ).

tff('#skF_446',type,
    '#skF_446': ( $i * $i ) > $i ).

tff('#skF_297',type,
    '#skF_297': ( $i * $i ) > $i ).

tff('#skF_194',type,
    '#skF_194': $i ).

tff('#skF_231',type,
    '#skF_231': $i > $i ).

tff('#skF_212',type,
    '#skF_212': ( $i * $i ) > $i ).

tff('#skF_90',type,
    '#skF_90': $i > $i ).

tff(v5_membered,type,
    v5_membered: $i > $o ).

tff('#skF_166',type,
    '#skF_166': $i > $i ).

tff('#skF_71',type,
    '#skF_71': ( $i * $i ) > $i ).

tff(meet,type,
    meet: ( $i * $i * $i ) > $i ).

tff('#skF_269',type,
    '#skF_269': $i > $i ).

tff('#skF_222',type,
    '#skF_222': ( $i * $i ) > $i ).

tff('#skF_472',type,
    '#skF_472': ( $i * $i ) > $i ).

tff('#skF_424',type,
    '#skF_424': ( $i * $i * $i ) > $i ).

tff(a_2_2_lattice3,type,
    a_2_2_lattice3: ( $i * $i ) > $i ).

tff('#skF_329',type,
    '#skF_329': ( $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

tff(poset_of_lattice,type,
    poset_of_lattice: $i > $i ).

tff('#skF_295',type,
    '#skF_295': ( $i * $i ) > $i ).

tff(well_orders,type,
    well_orders: ( $i * $i ) > $o ).

tff('#skF_223',type,
    '#skF_223': ( $i * $i ) > $i ).

tff(empty_set,type,
    empty_set: $i ).

tff(equipotent,type,
    equipotent: ( $i * $i ) > $o ).

tff(relation_dom,type,
    relation_dom: $i > $i ).

tff('#skF_298',type,
    '#skF_298': ( $i * $i ) > $i ).

tff('#skF_252',type,
    '#skF_252': ( $i * $i * $i ) > $i ).

tff('#skF_118',type,
    '#skF_118': ( $i * $i ) > $i ).

tff('#skF_234',type,
    '#skF_234': $i ).

tff('#skF_170',type,
    '#skF_170': ( $i * $i ) > $i ).

tff('#skF_39',type,
    '#skF_39': $i > $i ).

tff('#skF_227',type,
    '#skF_227': ( $i * $i ) > $i ).

tff('#skF_60',type,
    '#skF_60': ( $i * $i * $i ) > $i ).

tff('#skF_325',type,
    '#skF_325': ( $i * $i * $i ) > $i ).

tff('#skF_274',type,
    '#skF_274': ( $i * $i ) > $i ).

tff(k10_filter_1,type,
    k10_filter_1: ( $i * $i * $i * $i ) > $i ).

tff(relation_of2,type,
    relation_of2: ( $i * $i * $i ) > $o ).

tff(cast_to_el_of_LattPOSet,type,
    cast_to_el_of_LattPOSet: ( $i * $i ) > $i ).

tff('#skF_229',type,
    '#skF_229': ( $i * $i ) > $i ).

tff(v2_membered,type,
    v2_membered: $i > $o ).

tff('#skF_294',type,
    '#skF_294': ( $i * $i ) > $i ).

tff('#skF_100',type,
    '#skF_100': ( $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff(v1_membered,type,
    v1_membered: $i > $o ).

tff('#skF_347',type,
    '#skF_347': ( $i * $i * $i ) > $i ).

tff('#skF_486',type,
    '#skF_486': $i > $i ).

tff('#skF_350',type,
    '#skF_350': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(bijective,type,
    bijective: ( $i * $i * $i ) > $o ).

tff('#skF_211',type,
    '#skF_211': ( $i * $i ) > $i ).

tff(set_meet,type,
    set_meet: $i > $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i * $i * $i ) > $i ).

tff(v1_xcmplx_0,type,
    v1_xcmplx_0: $i > $o ).

tff('#skF_146',type,
    '#skF_146': ( $i * $i * $i ) > $i ).

tff('#skF_167',type,
    '#skF_167': $i > $i ).

tff('#skF_480',type,
    '#skF_480': $i > $i ).

tff('#skF_232',type,
    '#skF_232': $i ).

tff('#skF_479',type,
    '#skF_479': ( $i * $i ) > $i ).

tff('#skF_218',type,
    '#skF_218': $i > $i ).

tff(relation_isomorphism,type,
    relation_isomorphism: ( $i * $i * $i ) > $o ).

tff('#skF_145',type,
    '#skF_145': ( $i * $i * $i ) > $i ).

tff('#skF_465',type,
    '#skF_465': $i > $i ).

tff('#skF_34',type,
    '#skF_34': ( $i * $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_413',type,
    '#skF_413': ( $i * $i * $i ) > $i ).

tff('#skF_333',type,
    '#skF_333': ( $i * $i * $i * $i ) > $i ).

tff(being_limit_ordinal,type,
    being_limit_ordinal: $i > $o ).

tff('#skF_203',type,
    '#skF_203': $i ).

tff(relation_rng_as_subset,type,
    relation_rng_as_subset: ( $i * $i * $i ) > $i ).

tff(v1_binop_1,type,
    v1_binop_1: ( $i * $i ) > $o ).

tff(v2_binop_1,type,
    v2_binop_1: ( $i * $i ) > $o ).

tff('#skF_407',type,
    '#skF_407': ( $i * $i * $i * $i ) > $i ).

tff('#skF_213',type,
    '#skF_213': ( $i * $i ) > $i ).

tff(the_L_meet,type,
    the_L_meet: $i > $i ).

tff('#skF_103',type,
    '#skF_103': ( $i * $i ) > $i ).

tff('#skF_128',type,
    '#skF_128': ( $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff('#skF_50',type,
    '#skF_50': ( $i * $i ) > $i ).

tff('#skF_67',type,
    '#skF_67': $i > $i ).

tff('#skF_320',type,
    '#skF_320': ( $i * $i ) > $i ).

tff('#skF_315',type,
    '#skF_315': ( $i * $i ) > $i ).

tff('#skF_89',type,
    '#skF_89': $i > $i ).

tff('#skF_116',type,
    '#skF_116': $i > $i ).

tff('#skF_140',type,
    '#skF_140': ( $i * $i * $i ) > $i ).

tff('#skF_308',type,
    '#skF_308': ( $i * $i ) > $i ).

tff('#skF_258',type,
    '#skF_258': ( $i * $i * $i ) > $i ).

tff('#skF_335',type,
    '#skF_335': ( $i * $i * $i * $i ) > $i ).

tff('#skF_461',type,
    '#skF_461': $i > $i ).

tff('#skF_147',type,
    '#skF_147': $i ).

tff('#skF_422',type,
    '#skF_422': ( $i * $i * $i * $i ) > $i ).

tff('#skF_456',type,
    '#skF_456': ( $i * $i * $i ) > $i ).

tff('#skF_265',type,
    '#skF_265': ( $i * $i * $i * $i ) > $i ).

tff('#skF_262',type,
    '#skF_262': ( $i * $i * $i ) > $i ).

tff('#skF_192',type,
    '#skF_192': $i > $i ).

tff(join_semilatt_str,type,
    join_semilatt_str: $i > $o ).

tff('#skF_403',type,
    '#skF_403': ( $i * $i * $i * $i ) > $i ).

tff('#skF_464',type,
    '#skF_464': ( $i * $i ) > $i ).

tff('#skF_242',type,
    '#skF_242': ( $i * $i ) > $i ).

tff('#skF_174',type,
    '#skF_174': ( $i * $i ) > $i ).

tff('#skF_233',type,
    '#skF_233': $i > $i ).

tff('#skF_448',type,
    '#skF_448': ( $i * $i ) > $i ).

tff('#skF_468',type,
    '#skF_468': ( $i * $i * $i ) > $i ).

tff('#skF_249',type,
    '#skF_249': ( $i * $i ) > $i ).

tff('#skF_285',type,
    '#skF_285': $i > $i ).

tff('#skF_373',type,
    '#skF_373': ( $i * $i * $i ) > $i ).

tff(interior,type,
    interior: ( $i * $i ) > $i ).

tff('#skF_264',type,
    '#skF_264': ( $i * $i * $i * $i ) > $i ).

tff('#skF_330',type,
    '#skF_330': ( $i * $i * $i ) > $i ).

tff('#skF_340',type,
    '#skF_340': ( $i * $i * $i * $i ) > $i ).

tff('#skF_254',type,
    '#skF_254': ( $i * $i * $i ) > $i ).

tff('#skF_58',type,
    '#skF_58': ( $i * $i ) > $i ).

tff('#skF_95',type,
    '#skF_95': ( $i * $i ) > $i ).

tff('#skF_372',type,
    '#skF_372': ( $i * $i * $i ) > $i ).

tff('#skF_410',type,
    '#skF_410': ( $i * $i * $i * $i ) > $i ).

tff(join_of_latt_set,type,
    join_of_latt_set: ( $i * $i ) > $i ).

tff('#skF_397',type,
    '#skF_397': ( $i * $i * $i ) > $i ).

tff(lattice,type,
    lattice: $i > $o ).

tff(relation_restriction,type,
    relation_restriction: ( $i * $i ) > $i ).

tff('#skF_402',type,
    '#skF_402': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_431',type,
    '#skF_431': ( $i * $i ) > $i ).

tff('#skF_84',type,
    '#skF_84': ( $i * $i * $i ) > $i ).

tff(apply_as_element,type,
    apply_as_element: ( $i * $i * $i * $i ) > $i ).

tff(point_neighbourhood,type,
    point_neighbourhood: ( $i * $i * $i ) > $o ).

tff('#skF_423',type,
    '#skF_423': ( $i * $i ) > $i ).

tff(join_associative,type,
    join_associative: $i > $o ).

tff('#skF_288',type,
    '#skF_288': ( $i * $i ) > $i ).

tff('#skF_322',type,
    '#skF_322': ( $i * $i * $i * $i ) > $i ).

tff(rel_str,type,
    rel_str: $i > $o ).

tff('#skF_59',type,
    '#skF_59': ( $i * $i * $i ) > $i ).

tff('#skF_169',type,
    '#skF_169': $i > $i ).

tff(below,type,
    below: ( $i * $i * $i ) > $o ).

tff('#skF_55',type,
    '#skF_55': ( $i * $i ) > $i ).

tff('#skF_157',type,
    '#skF_157': ( $i * $i ) > $i ).

tff('#skF_80',type,
    '#skF_80': ( $i * $i * $i ) > $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff('#skF_77',type,
    '#skF_77': ( $i * $i ) > $i ).

tff('#skF_353',type,
    '#skF_353': ( $i * $i * $i * $i ) > $i ).

tff('#skF_247',type,
    '#skF_247': ( $i * $i ) > $i ).

tff('#skF_133',type,
    '#skF_133': ( $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i ) > $i ).

tff(transitive,type,
    transitive: $i > $o ).

tff('#skF_76',type,
    '#skF_76': ( $i * $i * $i ) > $i ).

tff('#skF_388',type,
    '#skF_388': ( $i * $i ) > $i ).

tff('#skF_365',type,
    '#skF_365': $i > $i ).

tff('#skF_248',type,
    '#skF_248': ( $i * $i ) > $i ).

tff('#skF_125',type,
    '#skF_125': ( $i * $i ) > $i ).

tff('#skF_327',type,
    '#skF_327': ( $i * $i * $i ) > $i ).

tff('#skF_418',type,
    '#skF_418': ( $i * $i ) > $i ).

tff('#skF_119',type,
    '#skF_119': ( $i * $i ) > $i ).

tff('#skF_462',type,
    '#skF_462': $i > $i ).

tff('#skF_331',type,
    '#skF_331': ( $i * $i * $i ) > $i ).

tff(union_of_subsets,type,
    union_of_subsets: ( $i * $i ) > $i ).

tff('#skF_382',type,
    '#skF_382': ( $i * $i * $i ) > $i ).

tff('#skF_241',type,
    '#skF_241': $i > $i ).

tff('#skF_219',type,
    '#skF_219': $i > $i ).

tff('#skF_466',type,
    '#skF_466': ( $i * $i ) > $i ).

tff('#skF_230',type,
    '#skF_230': ( $i * $i * $i * $i ) > $i ).

tff('#skF_48',type,
    '#skF_48': $i > $i ).

tff('#skF_272',type,
    '#skF_272': ( $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_426',type,
    '#skF_426': $i > $i ).

tff('#skF_159',type,
    '#skF_159': ( $i * $i * $i ) > $i ).

tff('#skF_187',type,
    '#skF_187': $i ).

tff('#skF_176',type,
    '#skF_176': $i ).

tff('#skF_105',type,
    '#skF_105': ( $i * $i ) > $i ).

tff('#skF_120',type,
    '#skF_120': ( $i * $i * $i ) > $i ).

tff(set_union2,type,
    set_union2: ( $i * $i ) > $i ).

tff(v1_rat_1,type,
    v1_rat_1: $i > $o ).

tff('#skF_189',type,
    '#skF_189': ( $i * $i ) > $i ).

tff('#skF_447',type,
    '#skF_447': $i > $i ).

tff(meet_absorbing,type,
    meet_absorbing: $i > $o ).

tff(powerset,type,
    powerset: $i > $i ).

tff(reflexive,type,
    reflexive: $i > $o ).

tff('#skF_83',type,
    '#skF_83': ( $i * $i * $i ) > $i ).

tff(subset_complement,type,
    subset_complement: ( $i * $i ) > $i ).

tff('#skF_303',type,
    '#skF_303': ( $i * $i * $i ) > $i ).

tff('#skF_154',type,
    '#skF_154': ( $i * $i ) > $i ).

tff('#skF_443',type,
    '#skF_443': ( $i * $i ) > $i ).

tff(relation_rng,type,
    relation_rng: $i > $i ).

tff('#skF_106',type,
    '#skF_106': ( $i * $i ) > $i ).

tff(relstr_element_smaller,type,
    relstr_element_smaller: ( $i * $i * $i ) > $o ).

tff('#skF_68',type,
    '#skF_68': ( $i * $i ) > $i ).

tff('#skF_261',type,
    '#skF_261': ( $i * $i * $i ) > $i ).

tff(is_transitive_in,type,
    is_transitive_in: ( $i * $i ) > $o ).

tff('#skF_82',type,
    '#skF_82': ( $i * $i * $i ) > $i ).

tff('#skF_271',type,
    '#skF_271': $i > $i ).

tff('#skF_470',type,
    '#skF_470': $i > $i ).

tff(natural,type,
    natural: $i > $o ).

tff(ordinal_subset,type,
    ordinal_subset: ( $i * $i ) > $o ).

tff('#skF_123',type,
    '#skF_123': ( $i * $i ) > $i ).

tff('#skF_360',type,
    '#skF_360': ( $i * $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

tff(boole_lattice,type,
    boole_lattice: $i > $i ).

tff('#skF_139',type,
    '#skF_139': ( $i * $i * $i ) > $i ).

tff(meet_commutative,type,
    meet_commutative: $i > $o ).

tff(is_antisymmetric_in,type,
    is_antisymmetric_in: ( $i * $i ) > $o ).

tff('#skF_345',type,
    '#skF_345': ( $i * $i * $i ) > $i ).

tff('#skF_36',type,
    '#skF_36': ( $i * $i * $i * $i ) > $i ).

tff('#skF_158',type,
    '#skF_158': ( $i * $i ) > $i ).

tff('#skF_75',type,
    '#skF_75': ( $i * $i * $i ) > $i ).

tff('#skF_305',type,
    '#skF_305': ( $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i ) > $i ).

tff('#skF_155',type,
    '#skF_155': $i > $i ).

tff('#skF_481',type,
    '#skF_481': $i > $i ).

tff('#skF_43',type,
    '#skF_43': ( $i * $i ) > $i ).

tff('#skF_455',type,
    '#skF_455': ( $i * $i ) > $i ).

tff('#skF_368',type,
    '#skF_368': $i > $i ).

tff('#skF_326',type,
    '#skF_326': ( $i * $i * $i ) > $i ).

tff('#skF_482',type,
    '#skF_482': $i ).

tff('#skF_433',type,
    '#skF_433': ( $i * $i ) > $i ).

tff('#skF_35',type,
    '#skF_35': ( $i * $i * $i * $i ) > $i ).

tff('#skF_168',type,
    '#skF_168': $i > $i ).

tff('#skF_406',type,
    '#skF_406': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_442',type,
    '#skF_442': $i ).

tff('#skF_85',type,
    '#skF_85': ( $i * $i * $i ) > $i ).

tff('#skF_183',type,
    '#skF_183': $i ).

tff(v4_membered,type,
    v4_membered: $i > $o ).

tff(cartesian_product2,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': $i > $i ).

tff('#skF_478',type,
    '#skF_478': ( $i * $i ) > $i ).

tff('#skF_237',type,
    '#skF_237': $i > $i ).

tff('#skF_61',type,
    '#skF_61': ( $i * $i ) > $i ).

tff('#skF_210',type,
    '#skF_210': ( $i * $i ) > $i ).

tff('#skF_204',type,
    '#skF_204': $i > $i ).

tff('#skF_361',type,
    '#skF_361': ( $i * $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff('#skF_439',type,
    '#skF_439': ( $i * $i ) > $i ).

tff(centered,type,
    centered: $i > $o ).

tff(succ,type,
    succ: $i > $i ).

tff('#skF_214',type,
    '#skF_214': ( $i * $i ) > $i ).

tff('#skF_221',type,
    '#skF_221': ( $i * $i ) > $i ).

tff('#skF_336',type,
    '#skF_336': ( $i * $i ) > $i ).

tff('#skF_246',type,
    '#skF_246': ( $i * $i ) > $i ).

tff(k2_lattice3,type,
    k2_lattice3: $i > $i ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

tff('#skF_408',type,
    '#skF_408': ( $i * $i * $i * $i ) > $i ).

tff('#skF_129',type,
    '#skF_129': ( $i * $i * $i ) > $i ).

tff('#skF_484',type,
    '#skF_484': ( $i * $i * $i ) > $i ).

tff('#skF_428',type,
    '#skF_428': $i > $i ).

tff('#skF_436',type,
    '#skF_436': ( $i * $i ) > $i ).

tff('#skF_445',type,
    '#skF_445': $i > $i ).

tff('#skF_283',type,
    '#skF_283': ( $i * $i * $i ) > $i ).

tff('#skF_310',type,
    '#skF_310': ( $i * $i ) > $i ).

tff(apply_binary_as_element,type,
    apply_binary_as_element: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(relation_of2_as_subset,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

tff('#skF_435',type,
    '#skF_435': ( $i * $i ) > $i ).

tff(subset_union2,type,
    subset_union2: ( $i * $i * $i ) > $i ).

tff(open_subsets,type,
    open_subsets: ( $i * $i ) > $o ).

tff('#skF_96',type,
    '#skF_96': ( $i * $i * $i ) > $i ).

tff('#skF_28',type,
    '#skF_28': ( $i * $i * $i ) > $i ).

tff('#skF_197',type,
    '#skF_197': $i ).

tff('#skF_86',type,
    '#skF_86': ( $i * $i * $i * $i ) > $i ).

tff('#skF_364',type,
    '#skF_364': ( $i * $i * $i * $i ) > $i ).

tff(join_commutative,type,
    join_commutative: $i > $o ).

tff('#skF_383',type,
    '#skF_383': ( $i * $i * $i ) > $i ).

tff('#skF_70',type,
    '#skF_70': $i > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_429',type,
    '#skF_429': $i > $i ).

tff('#skF_63',type,
    '#skF_63': $i > $i ).

tff('#skF_392',type,
    '#skF_392': ( $i * $i * $i ) > $i ).

tff(fiber,type,
    fiber: ( $i * $i ) > $i ).

tff('#skF_117',type,
    '#skF_117': ( $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(topological_space,type,
    topological_space: $i > $o ).

tff('#skF_354',type,
    '#skF_354': ( $i * $i * $i ) > $i ).

tff(complete_latt_str,type,
    complete_latt_str: $i > $o ).

tff('#skF_138',type,
    '#skF_138': ( $i * $i * $i ) > $i ).

tff('#skF_243',type,
    '#skF_243': ( $i * $i * $i ) > $i ).

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff('#skF_457',type,
    '#skF_457': ( $i * $i * $i * $i ) > $i ).

tff('#skF_318',type,
    '#skF_318': ( $i * $i ) > $i ).

tff(top_str,type,
    top_str: $i > $o ).

tff('#skF_341',type,
    '#skF_341': ( $i * $i * $i ) > $i ).

tff('#skF_109',type,
    '#skF_109': ( $i * $i ) > $i ).

tff('#skF_339',type,
    '#skF_339': ( $i * $i ) > $i ).

tff(f_1347,axiom,
    ! [A] : ( cast_to_subset(A) = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).

tff(f_3452,axiom,
    ! [A] : ( k1_pcomps_1(A) = powerset(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).

tff(f_1881,axiom,
    ! [A] : element(cast_to_subset(A),powerset(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).

tff(f_6935,lemma,
    ! [A] : ( union(powerset(A)) = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_zfmisc_1) ).

tff(f_1114,axiom,
    ! [A,B] :
      ( element(B,A)
     => ( proper_element(B,A)
      <=> ( B != union(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tex_2) ).

tff(f_6678,negated_conjecture,
    ~ ! [A,B] :
        ( element(B,powerset(A))
       => ( proper_element(B,powerset(A))
        <=> ( B != A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).

tff(c_936,plain,
    ! [A_920] : ( cast_to_subset(A_920) = A_920 ),
    inference(cnfTransformation,[status(thm)],[f_1347]) ).

tff(c_2276,plain,
    ! [A_1717] : ( powerset(A_1717) = k1_pcomps_1(A_1717) ),
    inference(cnfTransformation,[status(thm)],[f_3452]) ).

tff(c_1322,plain,
    ! [A_1358] : element(cast_to_subset(A_1358),powerset(A_1358)),
    inference(cnfTransformation,[status(thm)],[f_1881]) ).

tff(c_10219,plain,
    ! [A_1358] : element(cast_to_subset(A_1358),k1_pcomps_1(A_1358)),
    inference(demodulation,[status(thm),theory(equality)],[c_2276,c_1322]) ).

tff(c_10436,plain,
    ! [A_1358] : element(A_1358,k1_pcomps_1(A_1358)),
    inference(demodulation,[status(thm),theory(equality)],[c_936,c_10219]) ).

tff(c_8218,plain,
    ! [A_6763] : ( union(powerset(A_6763)) = A_6763 ),
    inference(cnfTransformation,[status(thm)],[f_6935]) ).

tff(c_8256,plain,
    ! [A_6763] : ( union(k1_pcomps_1(A_6763)) = A_6763 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2276,c_8218]) ).

tff(c_70397,plain,
    ! [A_9619] :
      ( ~ proper_element(union(A_9619),A_9619)
      | ~ element(union(A_9619),A_9619) ),
    inference(cnfTransformation,[status(thm)],[f_1114]) ).

tff(c_70409,plain,
    ! [A_6763] :
      ( ~ proper_element(A_6763,k1_pcomps_1(A_6763))
      | ~ element(union(k1_pcomps_1(A_6763)),k1_pcomps_1(A_6763)) ),
    inference(superposition,[status(thm),theory(equality)],[c_8256,c_70397]) ).

tff(c_70413,plain,
    ! [A_6763] : ~ proper_element(A_6763,k1_pcomps_1(A_6763)),
    inference(demodulation,[status(thm),theory(equality)],[c_10436,c_8256,c_70409]) ).

tff(c_8098,plain,
    ( proper_element('#skF_483',powerset('#skF_482'))
    | ( '#skF_483' != '#skF_482' ) ),
    inference(cnfTransformation,[status(thm)],[f_6678]) ).

tff(c_8259,plain,
    ( proper_element('#skF_483',k1_pcomps_1('#skF_482'))
    | ( '#skF_483' != '#skF_482' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2276,c_8098]) ).

tff(c_10548,plain,
    '#skF_483' != '#skF_482',
    inference(splitLeft,[status(thm)],[c_8259]) ).

tff(c_8090,plain,
    element('#skF_483',powerset('#skF_482')),
    inference(cnfTransformation,[status(thm)],[f_6678]) ).

tff(c_8258,plain,
    element('#skF_483',k1_pcomps_1('#skF_482')),
    inference(demodulation,[status(thm),theory(equality)],[c_2276,c_8090]) ).

tff(c_48871,plain,
    ! [B_8398,A_8399] :
      ( proper_element(B_8398,A_8399)
      | ( union(A_8399) = B_8398 )
      | ~ element(B_8398,A_8399) ),
    inference(cnfTransformation,[status(thm)],[f_1114]) ).

tff(c_8092,plain,
    ( ( '#skF_483' = '#skF_482' )
    | ~ proper_element('#skF_483',powerset('#skF_482')) ),
    inference(cnfTransformation,[status(thm)],[f_6678]) ).

tff(c_8265,plain,
    ( ( '#skF_483' = '#skF_482' )
    | ~ proper_element('#skF_483',k1_pcomps_1('#skF_482')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2276,c_8092]) ).

tff(c_10549,plain,
    ~ proper_element('#skF_483',k1_pcomps_1('#skF_482')),
    inference(splitLeft,[status(thm)],[c_8265]) ).

tff(c_48885,plain,
    ( ( union(k1_pcomps_1('#skF_482')) = '#skF_483' )
    | ~ element('#skF_483',k1_pcomps_1('#skF_482')) ),
    inference(resolution,[status(thm)],[c_48871,c_10549]) ).

tff(c_48896,plain,
    '#skF_483' = '#skF_482',
    inference(demodulation,[status(thm),theory(equality)],[c_8258,c_8256,c_48885]) ).

tff(c_48898,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10548,c_48896]) ).

tff(c_48899,plain,
    '#skF_483' = '#skF_482',
    inference(splitRight,[status(thm)],[c_8265]) ).

tff(c_48901,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10548,c_48899]) ).

tff(c_48903,plain,
    '#skF_483' = '#skF_482',
    inference(splitRight,[status(thm)],[c_8259]) ).

tff(c_48902,plain,
    proper_element('#skF_483',k1_pcomps_1('#skF_482')),
    inference(splitRight,[status(thm)],[c_8259]) ).

tff(c_48910,plain,
    proper_element('#skF_482',k1_pcomps_1('#skF_482')),
    inference(demodulation,[status(thm),theory(equality)],[c_48903,c_48902]) ).

tff(c_70415,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_70413,c_48910]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU354+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 11:44:07 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 108.22/79.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 108.22/79.90  
% 108.22/79.90  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 108.30/79.94  
% 108.30/79.94  Inference rules
% 108.30/79.94  ----------------------
% 108.30/79.94  #Ref     : 7
% 108.30/79.94  #Sup     : 14513
% 108.30/79.94  #Fact    : 0
% 108.30/79.94  #Define  : 0
% 108.30/79.94  #Split   : 118
% 108.30/79.94  #Chain   : 0
% 108.30/79.94  #Close   : 0
% 108.30/79.94  
% 108.30/79.94  Ordering : KBO
% 108.30/79.94  
% 108.30/79.94  Simplification rules
% 108.30/79.94  ----------------------
% 108.30/79.94  #Subsume      : 4206
% 108.30/79.94  #Demod        : 10720
% 108.30/79.94  #Tautology    : 3903
% 108.30/79.94  #SimpNegUnit  : 683
% 108.30/79.94  #BackRed      : 345
% 108.30/79.94  
% 108.30/79.94  #Partial instantiations: 0
% 108.30/79.94  #Strategies tried      : 1
% 108.30/79.94  
% 108.30/79.94  Timing (in seconds)
% 108.30/79.94  ----------------------
% 108.30/79.94  Preprocessing        : 4.41
% 108.30/79.94  Parsing              : 1.02
% 108.30/79.94  CNF conversion       : 0.28
% 108.30/79.94  Main loop            : 74.45
% 108.30/79.94  Inferencing          : 5.95
% 108.30/79.94  Reduction            : 47.51
% 108.30/79.94  Demodulation         : 36.79
% 108.30/79.94  BG Simplification    : 0.53
% 108.30/79.94  Subsumption          : 14.46
% 108.30/79.94  Abstraction          : 0.71
% 108.30/79.94  MUC search           : 0.00
% 108.30/79.94  Cooper               : 0.00
% 108.30/79.94  Total                : 78.93
% 108.30/79.94  Index Insertion      : 0.00
% 108.30/79.94  Index Deletion       : 0.00
% 108.30/79.94  Index Matching       : 0.00
% 108.30/79.95  BG Taut test         : 0.00
%------------------------------------------------------------------------------