TSTP Solution File: SEU382+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU382+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 : n006.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 10:58:35 EDT 2023

% Result   : Theorem 97.24s 74.69s
% Output   : CNFRefutation 97.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  808
% Syntax   : Number of formulae    :  816 (  11 unt; 804 typ;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1653 ( 747   >; 906   *;   0   +;   0  <<)
%            Number of predicates  :  134 ( 132 usr;   1 prp; 0-3 aty)
%            Number of functors    :  672 ( 672 usr;  57 con; 0-8 aty)
%            Number of variables   :    9 (;   9   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v1_partfun1 > subnetstr > subnet > 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 > is_often_in > is_eventually_in > full_subnetstr > bijective > below_refl > below > well_orders > v2_binop_1 > v1_binop_1 > upper_relstr_subset > subset > subrelstr > strict_net_str > proper_subset > proper_element > ordinal_subset > open_subsets > open_subset > net_str > is_well_founded_in > is_transitive_in > is_reflexive_in > is_connected_in > is_antisymmetric_in > is_a_cover_of_carrier > in > full_subrelstr > filtered_subset > ex_sup_of_relstr_set > ex_inf_of_relstr_set > equipotent > element > disjoint > directed_subset > closed_subsets > closed_subset > are_equipotent > with_suprema_relstr > with_infima_relstr > well_ordering > well_founded_relation > v5_membered > v4_membered > v3_waybel_3 > v3_membered > v2_waybel_3 > v2_waybel_2 > v2_membered > v1_yellow_3 > v1_xreal_0 > v1_xcmplx_0 > v1_waybel_2 > v1_rat_1 > v1_membered > v1_int_1 > upper_bounded_semilattstr > upper_bounded_relstr > up_complete_relstr > trivial_carrier > 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 > modular_lattstr > meet_semilatt_str > meet_commutative > meet_associative > meet_absorbing > lower_bounded_semilattstr > lower_bounded_relstr > lattice > latt_str > join_semilatt_str > join_complete_relstr > join_commutative > join_associative > join_absorbing > heyting_relstr > function > finite > epsilon_transitive > epsilon_connected > empty_carrier > empty > distributive_relstr > distributive_lattstr > directed_relstr > diff_closed > cup_closed > connected_relstr > connected > complete_relstr > complete_latt_str > complemented_relstr > complemented_lattstr > compact_top_space > centered > bounded_relstr > bounded_lattstr > boolean_relstr > boolean_lattstr > being_limit_ordinal > antisymmetric_relstr > antisymmetric > apply_binary_as_element > function_of_composition > relation_dom_restr_as_relation_of > ordered_pair_as_product_element > net_str_of > k10_filter_1 > function_invverse_img_as_carrier_subset > apply_on_structs > apply_on_set_and_struct > apply_as_element > unordered_triple > unordered_pair_as_carrier_subset > subset_union2 > subset_intersection2 > subset_difference > relation_rng_as_subset > relation_dom_as_subset > preimage_subnetstr > meet_commut > meet > latt_str_of > join_commut > join > apply_netmap > apply_binary > unordered_pair > union_of_subsets > topstr_closure > the_mapping > subset_complement > set_union2 > set_intersection2 > set_difference > relation_rng_restriction > relation_restriction_as_relation_of > relation_restriction > relation_inverse_image > relation_image > relation_dom_restriction > relation_composition > rel_str_of > ordered_pair > meet_on_relstr > meet_of_subsets > meet_of_latt_set > lim_points_of_net > k8_filter_1 > join_on_relstr > 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 > inclusion_order > incl_POSet > identity_relation > identity_on_carrier > identity_as_relation_of > function_inverse > empty_carrier_subset > cast_to_subset > cast_as_carrier_subset > bottom_of_semilattstr > bottom_of_relstr > boole_lattice > boole_POSet > a_1_0_filter_1 > omega > empty_set > #skF_13 > #skF_464 > #skF_142 > #skF_527 > #skF_542 > #skF_523 > #skF_218 > #skF_230 > #skF_333 > #skF_488 > #skF_572 > #skF_76 > #skF_159 > #skF_298 > #skF_419 > #skF_519 > #skF_199 > #skF_32 > #skF_445 > #skF_421 > #skF_231 > #skF_354 > #skF_26 > #skF_462 > #skF_557 > #skF_536 > #skF_410 > #skF_131 > #skF_374 > #skF_258 > #skF_226 > #skF_425 > #skF_62 > #skF_64 > #skF_439 > #skF_38 > #skF_302 > #skF_500 > #skF_442 > #skF_311 > #skF_303 > #skF_414 > #skF_499 > #skF_73 > #skF_322 > #skF_257 > #skF_369 > #skF_495 > #skF_219 > #skF_294 > #skF_448 > #skF_372 > #skF_80 > #skF_575 > #skF_316 > #skF_444 > #skF_30 > #skF_17 > #skF_530 > #skF_31 > #skF_109 > #skF_166 > #skF_338 > #skF_401 > #skF_370 > #skF_182 > #skF_345 > #skF_314 > #skF_33 > #skF_491 > #skF_392 > #skF_129 > #skF_535 > #skF_411 > #skF_341 > #skF_56 > #skF_427 > #skF_342 > #skF_468 > #skF_485 > #skF_418 > #skF_114 > #skF_146 > #skF_457 > #skF_301 > #skF_212 > #skF_130 > #skF_424 > #skF_222 > #skF_476 > #skF_113 > #skF_545 > #skF_206 > #skF_437 > #skF_200 > #skF_233 > #skF_124 > #skF_380 > #skF_91 > #skF_349 > #skF_278 > #skF_6 > #skF_276 > #skF_296 > #skF_543 > #skF_300 > #skF_188 > #skF_27 > #skF_215 > #skF_518 > #skF_562 > #skF_24 > #skF_484 > #skF_262 > #skF_387 > #skF_438 > #skF_126 > #skF_101 > #skF_426 > #skF_178 > #skF_47 > #skF_317 > #skF_510 > #skF_103 > #skF_25 > #skF_93 > #skF_264 > #skF_541 > #skF_53 > #skF_10 > #skF_205 > #skF_18 > #skF_217 > #skF_88 > #skF_273 > #skF_469 > #skF_555 > #skF_452 > #skF_286 > #skF_225 > #skF_251 > #skF_112 > #skF_277 > #skF_475 > #skF_493 > #skF_435 > #skF_171 > #skF_176 > #skF_347 > #skF_63 > #skF_71 > #skF_327 > #skF_203 > #skF_364 > #skF_247 > #skF_352 > #skF_436 > #skF_116 > #skF_360 > #skF_394 > #skF_356 > #skF_375 > #skF_416 > #skF_306 > #skF_22 > #skF_389 > #skF_111 > #skF_292 > #skF_72 > #skF_213 > #skF_515 > #skF_567 > #skF_164 > #skF_12 > #skF_70 > #skF_489 > #skF_271 > #skF_153 > #skF_357 > #skF_185 > #skF_195 > #skF_511 > #skF_82 > #skF_115 > #skF_155 > #skF_209 > #skF_179 > #skF_501 > #skF_399 > #skF_279 > #skF_100 > #skF_140 > #skF_559 > #skF_44 > #skF_568 > #skF_312 > #skF_121 > #skF_65 > #skF_494 > #skF_161 > #skF_187 > #skF_108 > #skF_454 > #skF_412 > #skF_482 > #skF_449 > #skF_3 > #skF_90 > #skF_432 > #skF_524 > #skF_455 > #skF_428 > #skF_261 > #skF_180 > #skF_177 > #skF_39 > #skF_446 > #skF_69 > #skF_563 > #skF_509 > #skF_238 > #skF_498 > #skF_393 > #skF_533 > #skF_52 > #skF_417 > #skF_318 > #skF_565 > #skF_546 > #skF_239 > #skF_117 > #skF_520 > #skF_481 > #skF_253 > #skF_497 > #skF_240 > #skF_532 > #skF_162 > #skF_487 > #skF_184 > #skF_553 > #skF_517 > #skF_470 > #skF_281 > #skF_15 > #skF_422 > #skF_252 > #skF_102 > #skF_571 > #skF_192 > #skF_363 > #skF_324 > #skF_58 > #skF_384 > #skF_574 > #skF_190 > #skF_531 > #skF_221 > #skF_74 > #skF_459 > #skF_197 > #skF_405 > #skF_573 > #skF_390 > #skF_330 > #skF_168 > #skF_237 > #skF_260 > #skF_235 > #skF_172 > #skF_368 > #skF_60 > #skF_547 > #skF_85 > #skF_400 > #skF_173 > #skF_556 > #skF_214 > #skF_450 > #skF_471 > #skF_156 > #skF_45 > #skF_323 > #skF_248 > #skF_275 > #skF_28 > #skF_377 > #skF_110 > #skF_163 > #skF_353 > #skF_211 > #skF_320 > #skF_326 > #skF_566 > #skF_290 > #skF_35 > #skF_358 > #skF_5 > #skF_534 > #skF_367 > #skF_415 > #skF_19 > #skF_167 > #skF_280 > #skF_406 > #skF_118 > #skF_319 > #skF_507 > #skF_150 > #skF_378 > #skF_434 > #skF_328 > #skF_66 > #skF_132 > #skF_144 > #skF_141 > #skF_265 > #skF_549 > #skF_254 > #skF_54 > #skF_250 > #skF_208 > #skF_67 > #skF_135 > #skF_194 > #skF_196 > #skF_245 > #skF_97 > #skF_175 > #skF_467 > #skF_525 > #skF_154 > #skF_307 > #skF_492 > #skF_37 > #skF_42 > #skF_379 > #skF_522 > #skF_433 > #skF_335 > #skF_490 > #skF_223 > #skF_355 > #skF_267 > #skF_529 > #skF_193 > #skF_560 > #skF_376 > #skF_98 > #skF_503 > #skF_94 > #skF_11 > #skF_220 > #skF_413 > #skF_321 > #skF_165 > #skF_554 > #skF_57 > #skF_458 > #skF_297 > #skF_552 > #skF_461 > #skF_451 > #skF_513 > #skF_329 > #skF_269 > #skF_477 > #skF_514 > #skF_359 > #skF_191 > #skF_43 > #skF_7 > #skF_343 > #skF_299 > #skF_268 > #skF_465 > #skF_548 > #skF_84 > #skF_234 > #skF_170 > #skF_576 > #skF_106 > #skF_138 > #skF_325 > #skF_274 > #skF_59 > #skF_404 > #skF_216 > #skF_479 > #skF_9 > #skF_20 > #skF_460 > #skF_473 > #skF_474 > #skF_236 > #skF_266 > #skF_429 > #skF_86 > #skF_256 > #skF_246 > #skF_570 > #skF_232 > #skF_34 > #skF_544 > #skF_564 > #skF_287 > #skF_407 > #skF_241 > #skF_423 > #skF_447 > #skF_402 > #skF_96 > #skF_128 > #skF_133 > #skF_151 > #skF_149 > #skF_14 > #skF_371 > #skF_160 > #skF_308 > #skF_78 > #skF_505 > #skF_186 > #skF_255 > #skF_295 > #skF_456 > #skF_551 > #skF_81 > #skF_285 > #skF_152 > #skF_403 > #skF_145 > #skF_242 > #skF_139 > #skF_136 > #skF_244 > #skF_420 > #skF_466 > #skF_315 > #skF_478 > #skF_361 > #skF_538 > #skF_340 > #skF_104 > #skF_512 > #skF_396 > #skF_201 > #skF_95 > #skF_259 > #skF_336 > #skF_397 > #skF_137 > #skF_344 > #skF_99 > #skF_409 > #skF_181 > #skF_284 > #skF_577 > #skF_313 > #skF_502 > #skF_309 > #skF_92 > #skF_561 > #skF_440 > #skF_334 > #skF_508 > #skF_55 > #skF_537 > #skF_157 > #skF_127 > #skF_46 > #skF_2 > #skF_77 > #skF_224 > #skF_21 > #skF_388 > #skF_365 > #skF_174 > #skF_125 > #skF_289 > #skF_337 > #skF_169 > #skF_119 > #skF_134 > #skF_331 > #skF_348 > #skF_272 > #skF_385 > #skF_107 > #skF_249 > #skF_362 > #skF_105 > #skF_569 > #skF_430 > #skF_83 > #skF_443 > #skF_68 > #skF_122 > #skF_189 > #skF_506 > #skF_123 > #skF_202 > #skF_8 > #skF_453 > #skF_270 > #skF_228 > #skF_143 > #skF_395 > #skF_558 > #skF_539 > #skF_381 > #skF_36 > #skF_75 > #skF_305 > #skF_89 > #skF_229 > #skF_304 > #skF_41 > #skF_504 > #skF_49 > #skF_540 > #skF_87 > #skF_332 > #skF_29 > #skF_227 > #skF_147 > #skF_198 > #skF_391 > #skF_183 > #skF_463 > #skF_521 > #skF_516 > #skF_398 > #skF_550 > #skF_382 > #skF_431 > #skF_120 > #skF_293 > #skF_496 > #skF_48 > #skF_486 > #skF_366 > #skF_483 > #skF_61 > #skF_40 > #skF_204 > #skF_50 > #skF_472 > #skF_1 > #skF_291 > #skF_386 > #skF_210 > #skF_408 > #skF_283 > #skF_148 > #skF_346 > #skF_441 > #skF_310 > #skF_263 > #skF_526 > #skF_383 > #skF_351 > #skF_373 > #skF_282 > #skF_4 > #skF_158 > #skF_207 > #skF_243 > #skF_350 > #skF_23 > #skF_16 > #skF_288 > #skF_79 > #skF_480 > #skF_51 > #skF_528 > #skF_339

%Foreground sorts:

%Background operators:

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

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

tff('#skF_464',type,
    '#skF_464': ( $i * $i * $i * $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_142',type,
    '#skF_142': ( $i * $i * $i ) > $i ).

tff('#skF_527',type,
    '#skF_527': ( $i * $i ) > $i ).

tff('#skF_542',type,
    '#skF_542': ( $i * $i ) > $i ).

tff('#skF_523',type,
    '#skF_523': $i ).

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

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

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

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

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

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

tff('#skF_488',type,
    '#skF_488': ( $i * $i * $i * $i ) > $i ).

tff('#skF_572',type,
    '#skF_572': $i > $i ).

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

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

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

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

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

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

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

tff('#skF_519',type,
    '#skF_519': ( $i * $i ) > $i ).

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_445',type,
    '#skF_445': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_557',type,
    '#skF_557': ( $i * $i ) > $i ).

tff('#skF_536',type,
    '#skF_536': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff('#skF_226',type,
    '#skF_226': $i ).

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

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

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

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

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

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_439',type,
    '#skF_439': $i > $i ).

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

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

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

tff('#skF_500',type,
    '#skF_500': ( $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_499',type,
    '#skF_499': ( $i * $i ) > $i ).

tff('#skF_73',type,
    '#skF_73': ( $i * $i ) > $i ).

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

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

tff('#skF_257',type,
    '#skF_257': $i ).

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

tff('#skF_495',type,
    '#skF_495': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_575',type,
    '#skF_575': ( $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_444',type,
    '#skF_444': ( $i * $i * $i ) > $i ).

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i ) > $i ).

tff('#skF_530',type,
    '#skF_530': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_491',type,
    '#skF_491': ( $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_535',type,
    '#skF_535': $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_545',type,
    '#skF_545': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_543',type,
    '#skF_543': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

tff('#skF_518',type,
    '#skF_518': ( $i * $i ) > $i ).

tff('#skF_562',type,
    '#skF_562': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_510',type,
    '#skF_510': $i > $i ).

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

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

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

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

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

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

tff('#skF_541',type,
    '#skF_541': ( $i * $i ) > $i ).

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

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_217',type,
    '#skF_217': $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_469',type,
    '#skF_469': ( $i * $i * $i ) > $i ).

tff('#skF_555',type,
    '#skF_555': $i > $i ).

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

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

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

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

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

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

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

tff(v3_waybel_3,type,
    v3_waybel_3: $i > $o ).

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_493',type,
    '#skF_493': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_515',type,
    '#skF_515': ( $i * $i * $i ) > $i ).

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

tff('#skF_567',type,
    '#skF_567': ( $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_489',type,
    '#skF_489': $i > $i ).

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

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

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

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

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

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

tff('#skF_511',type,
    '#skF_511': ( $i * $i ) > $i ).

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

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

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

tff('#skF_209',type,
    '#skF_209': $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_501',type,
    '#skF_501': ( $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_559',type,
    '#skF_559': ( $i * $i ) > $i ).

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

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

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

tff('#skF_568',type,
    '#skF_568': ( $i * $i ) > $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_494',type,
    '#skF_494': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_524',type,
    '#skF_524': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

tff('#skF_563',type,
    '#skF_563': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_509',type,
    '#skF_509': $i > $i ).

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

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

tff('#skF_498',type,
    '#skF_498': ( $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_393',type,
    '#skF_393': ( $i * $i ) > $i ).

tff('#skF_533',type,
    '#skF_533': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_565',type,
    '#skF_565': $i ).

tff('#skF_546',type,
    '#skF_546': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_520',type,
    '#skF_520': ( $i * $i ) > $i ).

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

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

tff('#skF_497',type,
    '#skF_497': ( $i * $i ) > $i ).

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

tff('#skF_532',type,
    '#skF_532': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_553',type,
    '#skF_553': ( $i * $i ) > $i ).

tff('#skF_517',type,
    '#skF_517': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

tff('#skF_571',type,
    '#skF_571': $i > $i ).

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

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

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

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

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

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

tff('#skF_574',type,
    '#skF_574': ( $i * $i * $i ) > $i ).

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

tff('#skF_531',type,
    '#skF_531': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

tff('#skF_573',type,
    '#skF_573': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_547',type,
    '#skF_547': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_556',type,
    '#skF_556': ( $i * $i ) > $i ).

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

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

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

tff('#skF_156',type,
    '#skF_156': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(v1_yellow_3,type,
    v1_yellow_3: $i > $o ).

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

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

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

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

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

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

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

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

tff('#skF_566',type,
    '#skF_566': ( $i * $i ) > $i ).

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

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

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

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

tff(cast_to_el_of_lattice,type,
    cast_to_el_of_lattice: ( $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_534',type,
    '#skF_534': $i > $i ).

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

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

tff('#skF_19',type,
    '#skF_19': ( $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_167',type,
    '#skF_167': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

tff('#skF_507',type,
    '#skF_507': $i > $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_549',type,
    '#skF_549': $i > $i ).

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

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

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

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

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

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

tff('#skF_135',type,
    '#skF_135': ( $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(v2_waybel_3,type,
    v2_waybel_3: $i > $o ).

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

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

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

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

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

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

tff('#skF_525',type,
    '#skF_525': $i ).

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

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

tff('#skF_492',type,
    '#skF_492': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_522',type,
    '#skF_522': ( $i * $i ) > $i ).

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

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

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

tff('#skF_490',type,
    '#skF_490': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_529',type,
    '#skF_529': ( $i * $i ) > $i ).

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

tff('#skF_560',type,
    '#skF_560': $i > $i ).

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

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

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

tff('#skF_503',type,
    '#skF_503': ( $i * $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(the_topology,type,
    the_topology: $i > $i ).

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

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

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

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

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

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

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

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

tff('#skF_554',type,
    '#skF_554': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_552',type,
    '#skF_552': ( $i * $i ) > $i ).

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

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

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

tff('#skF_513',type,
    '#skF_513': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_514',type,
    '#skF_514': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_465',type,
    '#skF_465': ( $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_548',type,
    '#skF_548': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_576',type,
    '#skF_576': $i > $i ).

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

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

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

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

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

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

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

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

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_216',type,
    '#skF_216': $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_570',type,
    '#skF_570': ( $i * $i ) > $i ).

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

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

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

tff('#skF_544',type,
    '#skF_544': ( $i * $i ) > $i ).

tff('#skF_564',type,
    '#skF_564': ( $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(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_241',type,
    '#skF_241': $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_505',type,
    '#skF_505': ( $i * $i * $i ) > $i ).

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

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

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

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

tff('#skF_551',type,
    '#skF_551': $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_538',type,
    '#skF_538': ( $i * $i ) > $i ).

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

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

tff('#skF_512',type,
    '#skF_512': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_577',type,
    '#skF_577': ( $i * $i ) > $i ).

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

tff('#skF_502',type,
    '#skF_502': ( $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_561',type,
    '#skF_561': $i > $i ).

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

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

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

tff('#skF_508',type,
    '#skF_508': $i > $i ).

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

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

tff('#skF_537',type,
    '#skF_537': ( $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_224',type,
    '#skF_224': $i ).

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

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

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

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

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

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

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

tff('#skF_337',type,
    '#skF_337': ( $i * $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('#skF_331',type,
    '#skF_331': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_569',type,
    '#skF_569': ( $i * $i ) > $i ).

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

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_443',type,
    '#skF_443': ( $i * $i ) > $i ).

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

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

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

tff(v2_waybel_2,type,
    v2_waybel_2: $i > $o ).

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

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

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

tff(v1_waybel_2,type,
    v1_waybel_2: $i > $o ).

tff('#skF_506',type,
    '#skF_506': $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_202',type,
    '#skF_202': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

tff('#skF_558',type,
    '#skF_558': ( $i * $i * $i ) > $i ).

tff('#skF_539',type,
    '#skF_539': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_41',type,
    '#skF_41': ( $i * $i * $i ) > $i ).

tff('#skF_504',type,
    '#skF_504': ( $i * $i ) > $i ).

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

tff('#skF_540',type,
    '#skF_540': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

tff('#skF_521',type,
    '#skF_521': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_516',type,
    '#skF_516': ( $i * $i ) > $i ).

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

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

tff('#skF_550',type,
    '#skF_550': $i > $i ).

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

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

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

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

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

tff('#skF_496',type,
    '#skF_496': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_441',type,
    '#skF_441': $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(subset_union2,type,
    subset_union2: ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_526',type,
    '#skF_526': $i > $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $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_288',type,
    '#skF_288': ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_528',type,
    '#skF_528': $i > $i ).

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

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

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

tff(f_5946,axiom,
    ! [A] : ( k1_pcomps_1(A) = powerset(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).

tff(f_9520,lemma,
    ! [A] : ( boole_POSet(A) = incl_POSet(powerset(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).

tff(f_8420,lemma,
    ! [A] :
      ( ( the_carrier(incl_POSet(A)) = A )
      & ( the_InternalRel(incl_POSet(A)) = inclusion_order(A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_yellow_1) ).

tff(f_9500,negated_conjecture,
    ~ ! [A] : ( the_carrier(boole_POSet(A)) = powerset(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).

tff(c_3836,plain,
    ! [A_2673] : ( powerset(A_2673) = k1_pcomps_1(A_2673) ),
    inference(cnfTransformation,[status(thm)],[f_5946]) ).

tff(c_9898,plain,
    ! [A_8197] : ( incl_POSet(powerset(A_8197)) = boole_POSet(A_8197) ),
    inference(cnfTransformation,[status(thm)],[f_9520]) ).

tff(c_13619,plain,
    ! [A_8757] : ( incl_POSet(k1_pcomps_1(A_8757)) = boole_POSet(A_8757) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3836,c_9898]) ).

tff(c_9514,plain,
    ! [A_7507] : ( the_carrier(incl_POSet(A_7507)) = A_7507 ),
    inference(cnfTransformation,[status(thm)],[f_8420]) ).

tff(c_13625,plain,
    ! [A_8757] : ( the_carrier(boole_POSet(A_8757)) = k1_pcomps_1(A_8757) ),
    inference(superposition,[status(thm),theory(equality)],[c_13619,c_9514]) ).

tff(c_9890,plain,
    the_carrier(boole_POSet('#skF_565')) != powerset('#skF_565'),
    inference(cnfTransformation,[status(thm)],[f_9500]) ).

tff(c_10165,plain,
    the_carrier(boole_POSet('#skF_565')) != k1_pcomps_1('#skF_565'),
    inference(demodulation,[status(thm),theory(equality)],[c_3836,c_9890]) ).

tff(c_14908,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13625,c_10165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n006.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
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 12:03:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 97.24/74.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 97.42/74.70  
% 97.42/74.70  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 97.42/74.74  
% 97.42/74.74  Inference rules
% 97.42/74.74  ----------------------
% 97.42/74.74  #Ref     : 0
% 97.42/74.74  #Sup     : 462
% 97.42/74.74  #Fact    : 0
% 97.42/74.74  #Define  : 0
% 97.42/74.74  #Split   : 0
% 97.42/74.74  #Chain   : 0
% 97.42/74.74  #Close   : 0
% 97.42/74.74  
% 97.42/74.74  Ordering : KBO
% 97.42/74.74  
% 97.42/74.74  Simplification rules
% 97.42/74.74  ----------------------
% 97.42/74.74  #Subsume      : 242
% 97.42/74.74  #Demod        : 7320
% 97.42/74.74  #Tautology    : 828
% 97.42/74.74  #SimpNegUnit  : 1
% 97.42/74.74  #BackRed      : 55
% 97.42/74.74  
% 97.42/74.74  #Partial instantiations: 0
% 97.42/74.74  #Strategies tried      : 1
% 97.42/74.74  
% 97.42/74.74  Timing (in seconds)
% 97.42/74.74  ----------------------
% 97.42/74.74  Preprocessing        : 5.89
% 97.42/74.74  Parsing              : 1.27
% 97.42/74.74  CNF conversion       : 0.32
% 97.42/74.74  Main loop            : 67.76
% 97.42/74.74  Inferencing          : 0.63
% 97.42/74.74  Reduction            : 50.65
% 97.42/74.74  Demodulation         : 41.75
% 97.42/74.74  BG Simplification    : 0.51
% 97.42/74.74  Subsumption          : 11.03
% 97.42/74.74  Abstraction          : 0.78
% 97.42/74.74  MUC search           : 0.00
% 97.42/74.74  Cooper               : 0.00
% 97.42/74.74  Total                : 73.72
% 97.42/74.75  Index Insertion      : 0.00
% 97.42/74.75  Index Deletion       : 0.00
% 97.42/74.75  Index Matching       : 0.00
% 97.42/74.75  BG Taut test         : 0.00
%------------------------------------------------------------------------------