%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, set_Pr2014382200lle_tv: $tType).
thf(type_def_6, type, produc1647334210lle_tv: $tType).
thf(type_def_7, type, set_Pr1725653840tv_nat: $tType).
thf(type_def_8, type, set_Pr13445366lle_tv: $tType).
thf(type_def_9, type, produc194167194tv_nat: $tType).
thf(type_def_10, type, produc270694976lle_tv: $tType).
thf(type_def_11, type, set_se800614875lle_tv: $tType).
thf(type_def_12, type, set_Pr1986765409at_nat: $tType).
thf(type_def_13, type, set_Pa1764573435lle_tv: $tType).
thf(type_def_14, type, product_prod_nat_nat: $tType).
thf(type_def_15, type, paraco1605129243lle_tv: $tType).
thf(type_def_16, type, set_set_nat: $tType).
thf(type_def_17, type, set_nat: $tType).
thf(type_def_18, type, nat: $tType).
thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_0, type, inj_on_nat_nat: ((nat > nat) > set_nat > $o)).
thf(func_def_1, type, inj_on1955349912lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > $o)).
thf(func_def_2, type, inj_on1179712058tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > $o)).
thf(func_def_3, type, inj_on772319074lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > $o)).
thf(func_def_4, type, inj_on642995232at_nat: ((product_prod_nat_nat > nat) > set_Pr1986765409at_nat > $o)).
thf(func_def_5, type, inj_on520021963lle_tv: ((product_prod_nat_nat > paraco1605129243lle_tv) > set_Pr1986765409at_nat > $o)).
thf(func_def_6, type, inj_on26176689at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > $o)).
thf(func_def_7, type, inj_on1840679568lle_tv: ((product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > $o)).
thf(func_def_8, type, inj_on1764151786tv_nat: ((product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > $o)).
thf(func_def_9, type, inj_on936843139tv_nat: ((produc270694976lle_tv > nat) > set_Pr13445366lle_tv > $o)).
thf(func_def_10, type, inj_on394919723lle_tv: ((produc270694976lle_tv > paraco1605129243lle_tv) > set_Pr13445366lle_tv > $o)).
thf(func_def_11, type, inj_on1954136462at_nat: ((produc270694976lle_tv > product_prod_nat_nat) > set_Pr13445366lle_tv > $o)).
thf(func_def_12, type, inj_on1745913142lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > $o)).
thf(func_def_13, type, inj_on808253149at_nat: ((produc194167194tv_nat > nat) > set_Pr1725653840tv_nat > $o)).
thf(func_def_14, type, inj_on1612474245lle_tv: ((produc194167194tv_nat > paraco1605129243lle_tv) > set_Pr1725653840tv_nat > $o)).
thf(func_def_15, type, inj_on1971554740at_nat: ((produc194167194tv_nat > product_prod_nat_nat) > set_Pr1725653840tv_nat > $o)).
thf(func_def_16, type, inj_on552895452tv_nat: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > $o)).
thf(func_def_17, type, inj_on967082628lle_tv: ((produc194167194tv_nat > produc1647334210lle_tv) > set_Pr1725653840tv_nat > $o)).
thf(func_def_18, type, inj_on2112487900lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > $o)).
thf(func_def_19, type, strict2146030304at_nat: ((nat > nat) > set_nat > $o)).
thf(func_def_20, type, strict1310998166et_nat: ((nat > set_nat) > set_nat > $o)).
thf(func_def_21, type, strict1658340843lle_tv: ((nat > set_Pa1764573435lle_tv) > set_nat > $o)).
thf(func_def_22, type, strict1802283670at_nat: ((set_nat > nat) > set_set_nat > $o)).
thf(func_def_23, type, strict473775692et_nat: ((set_nat > set_nat) > set_set_nat > $o)).
thf(func_def_24, type, strict172559285lle_tv: ((set_nat > set_Pa1764573435lle_tv) > set_set_nat > $o)).
thf(func_def_25, type, strict1125660301tv_nat: ((set_Pa1764573435lle_tv > nat) > set_se800614875lle_tv > $o)).
thf(func_def_26, type, strict1455779395et_nat: ((set_Pa1764573435lle_tv > set_nat) > set_se800614875lle_tv > $o)).
thf(func_def_27, type, strict592849515lle_tv: ((set_Pa1764573435lle_tv > set_Pa1764573435lle_tv) > set_se800614875lle_tv > $o)).
thf(func_def_28, type, the_inv_into_nat_nat: (set_nat > (nat > nat) > nat > nat)).
thf(func_def_29, type, the_in138087638lle_tv: (set_nat > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
thf(func_def_30, type, the_in1509933432tv_nat: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > nat) > nat > paraco1605129243lle_tv)).
thf(func_def_31, type, the_in452116896lle_tv: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
thf(func_def_32, type, the_in2068894451at_nat: (set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat)).
thf(func_def_33, type, the_in744013006lle_tv: (set_Pr1986765409at_nat > (product_prod_nat_nat > produc270694976lle_tv) > produc270694976lle_tv > product_prod_nat_nat)).
thf(func_def_34, type, the_in667485224tv_nat: (set_Pr1986765409at_nat > (product_prod_nat_nat > produc194167194tv_nat) > produc194167194tv_nat > product_prod_nat_nat)).
thf(func_def_35, type, the_in857469900at_nat: (set_Pr13445366lle_tv > (produc270694976lle_tv > product_prod_nat_nat) > product_prod_nat_nat > produc270694976lle_tv)).
thf(func_def_36, type, the_in1388677748lle_tv: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv > produc270694976lle_tv)).
thf(func_def_37, type, the_in874888178at_nat: (set_Pr1725653840tv_nat > (produc194167194tv_nat > product_prod_nat_nat) > product_prod_nat_nat > produc194167194tv_nat)).
thf(func_def_38, type, the_in195660058tv_nat: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat > produc194167194tv_nat)).
thf(func_def_39, type, the_in427240730lle_tv: (set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
thf(func_def_40, type, plus_plus_nat: (nat > nat > nat)).
thf(func_def_41, type, ord_less_nat: (nat > nat > $o)).
thf(func_def_42, type, ord_less_set_nat: (set_nat > set_nat > $o)).
thf(func_def_43, type, ord_le727057319lle_tv: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o)).
thf(func_def_44, type, ord_less_eq_nat: (nat > nat > $o)).
thf(func_def_45, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
thf(func_def_46, type, ord_le241064091lle_tv: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o)).
thf(func_def_47, type, order_769474267at_nat: ((nat > nat) > $o)).
thf(func_def_48, type, top_top_nat_o: (nat > $o)).
thf(func_def_49, type, top_to1299250770e_tv_o: (paraco1605129243lle_tv > $o)).
thf(func_def_50, type, top_to632227436_nat_o: (product_prod_nat_nat > $o)).
thf(func_def_51, type, top_to1889334367e_tv_o: (produc270694976lle_tv > $o)).
thf(func_def_52, type, top_to900819589_nat_o: (produc194167194tv_nat > $o)).
thf(func_def_53, type, top_top_o: $o).
thf(func_def_54, type, top_top_set_nat: set_nat).
thf(func_def_55, type, top_to1057771083lle_tv: set_Pa1764573435lle_tv).
thf(func_def_56, type, top_to1555900337at_nat: set_Pr1986765409at_nat).
thf(func_def_57, type, top_to1411004326lle_tv: set_Pr13445366lle_tv).
thf(func_def_58, type, top_to975729152tv_nat: set_Pr1725653840tv_nat).
thf(func_def_59, type, top_to1871154984lle_tv: set_Pr2014382200lle_tv).
thf(func_def_60, type, paraco1147068288nge_tv: ((nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
thf(func_def_61, type, paraco793048302_Indet: (nat > paraco1605129243lle_tv)).
thf(func_def_62, type, produc1320959600at_nat: ((nat > nat) > product_prod_nat_nat > product_prod_nat_nat)).
thf(func_def_63, type, produc237097339lle_tv: ((nat > nat) > produc194167194tv_nat > produc194167194tv_nat)).
thf(func_def_64, type, produc1608943133tv_nat: ((nat > paraco1605129243lle_tv) > product_prod_nat_nat > produc270694976lle_tv)).
thf(func_def_65, type, produc1804670661lle_tv: ((nat > paraco1605129243lle_tv) > produc194167194tv_nat > produc1647334210lle_tv)).
thf(func_def_66, type, produc2040316391tv_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc270694976lle_tv)).
thf(func_def_67, type, produc1408152463lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
thf(func_def_68, type, produc505105722at_nat: ((nat > nat) > (nat > nat) > product_prod_nat_nat > product_prod_nat_nat)).
thf(func_def_69, type, produc2101297531lle_tv: ((nat > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc270694976lle_tv)).
thf(func_def_70, type, produc189459613tv_nat: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > produc270694976lle_tv > produc194167194tv_nat)).
thf(func_def_71, type, produc1975500101lle_tv: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc1647334210lle_tv)).
thf(func_def_72, type, produc386540311at_nat: ((paraco1605129243lle_tv > nat) > (nat > nat) > produc194167194tv_nat > product_prod_nat_nat)).
thf(func_def_73, type, produc72207551lle_tv: ((paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > produc194167194tv_nat > produc270694976lle_tv)).
thf(func_def_74, type, produc51277375tv_nat: ((paraco1605129243lle_tv > nat) > (paraco1605129243lle_tv > nat) > produc1647334210lle_tv > product_prod_nat_nat)).
thf(func_def_75, type, produc1095080935lle_tv: ((paraco1605129243lle_tv > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc270694976lle_tv)).
thf(func_def_76, type, produc42536895at_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (nat > nat) > produc194167194tv_nat > produc194167194tv_nat)).
thf(func_def_77, type, produc1521089895lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > produc194167194tv_nat > produc1647334210lle_tv)).
thf(func_def_78, type, produc1500159719tv_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > produc1647334210lle_tv > produc194167194tv_nat)).
thf(func_def_79, type, produc1345917071lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
thf(func_def_80, type, collect_nat: ((nat > $o) > set_nat)).
thf(func_def_81, type, collec1111687558lle_tv: ((paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv)).
thf(func_def_82, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
thf(func_def_83, type, collec924990229lle_tv: ((produc270694976lle_tv > $o) > set_Pr13445366lle_tv)).
thf(func_def_84, type, collec848462447tv_nat: ((produc194167194tv_nat > $o) > set_Pr1725653840tv_nat)).
thf(func_def_85, type, image_nat_nat: ((nat > nat) > set_nat > set_nat)).
thf(func_def_86, type, image_1151963140lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > set_Pa1764573435lle_tv)).
thf(func_def_87, type, image_376325286tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > set_nat)).
thf(func_def_88, type, image_335818702lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_89, type, image_1397137548at_nat: ((product_prod_nat_nat > nat) > set_Pr1986765409at_nat > set_nat)).
thf(func_def_90, type, image_1093035615lle_tv: ((product_prod_nat_nat > paraco1605129243lle_tv) > set_Pr1986765409at_nat > set_Pa1764573435lle_tv)).
thf(func_def_91, type, image_815163717at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
thf(func_def_92, type, image_1674248956lle_tv: ((product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > set_Pr13445366lle_tv)).
thf(func_def_93, type, image_1597721174tv_nat: ((product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat)).
thf(func_def_94, type, image_1509856791tv_nat: ((produc270694976lle_tv > nat) > set_Pr13445366lle_tv > set_nat)).
thf(func_def_95, type, image_802013119lle_tv: ((produc270694976lle_tv > paraco1605129243lle_tv) > set_Pr13445366lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_96, type, image_1787705850at_nat: ((produc270694976lle_tv > product_prod_nat_nat) > set_Pr13445366lle_tv > set_Pr1986765409at_nat)).
thf(func_def_97, type, image_149830562lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > set_Pr13445366lle_tv)).
thf(func_def_98, type, image_53754658tv_nat: ((produc270694976lle_tv > produc194167194tv_nat) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat)).
thf(func_def_99, type, image_988201162lle_tv: ((produc270694976lle_tv > produc1647334210lle_tv) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv)).
thf(func_def_100, type, image_1381266801at_nat: ((produc194167194tv_nat > nat) > set_Pr1725653840tv_nat > set_nat)).
thf(func_def_101, type, image_2019567641lle_tv: ((produc194167194tv_nat > paraco1605129243lle_tv) > set_Pr1725653840tv_nat > set_Pa1764573435lle_tv)).
thf(func_def_102, type, image_1805124128at_nat: ((produc194167194tv_nat > product_prod_nat_nat) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat)).
thf(func_def_103, type, image_1200372424lle_tv: ((produc194167194tv_nat > produc270694976lle_tv) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv)).
thf(func_def_104, type, image_1104296520tv_nat: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > set_Pr1725653840tv_nat)).
thf(func_def_105, type, image_228488944lle_tv: ((produc194167194tv_nat > produc1647334210lle_tv) > set_Pr1725653840tv_nat > set_Pr2014382200lle_tv)).
thf(func_def_106, type, image_901203832at_nat: ((produc1647334210lle_tv > product_prod_nat_nat) > set_Pr2014382200lle_tv > set_Pr1986765409at_nat)).
thf(func_def_107, type, image_1892891680lle_tv: ((produc1647334210lle_tv > produc270694976lle_tv) > set_Pr2014382200lle_tv > set_Pr13445366lle_tv)).
thf(func_def_108, type, image_1796815776tv_nat: ((produc1647334210lle_tv > produc194167194tv_nat) > set_Pr2014382200lle_tv > set_Pr1725653840tv_nat)).
thf(func_def_109, type, image_1221801032lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv)).
thf(func_def_110, type, member_nat: (nat > set_nat > $o)).
thf(func_def_111, type, member266900804lle_tv: (paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o)).
thf(func_def_112, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
thf(func_def_113, type, member813679063lle_tv: (produc270694976lle_tv > set_Pr13445366lle_tv > $o)).
thf(func_def_114, type, member737151281tv_nat: (produc194167194tv_nat > set_Pr1725653840tv_nat > $o)).
thf(func_def_115, type, member1531318361lle_tv: (produc1647334210lle_tv > set_Pr2014382200lle_tv > $o)).
thf(func_def_116, type, member_set_nat: (set_nat > set_set_nat > $o)).
thf(func_def_117, type, member1875402276lle_tv: (set_Pa1764573435lle_tv > set_se800614875lle_tv > $o)).
thf(func_def_118, type, f: (nat > nat)).
thf(func_def_122, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
thf(func_def_123, type, vIMP: ($o > $o > $o)).
thf(func_def_124, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_125, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_126, type, db2: !>[X0: $tType]:(X0)).
thf(func_def_127, type, db3: !>[X0: $tType]:(X0)).
thf(func_def_128, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
thf(func_def_129, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(func_def_130, type, vAND: ($o > $o > $o)).
thf(func_def_131, type, sK0: ((nat > nat) > nat)).
thf(func_def_132, type, sK1: ((nat > nat) > nat)).
thf(func_def_133, type, sK2: ((nat > nat) > nat)).
thf(func_def_134, type, sK3: ((nat > nat) > nat)).
thf(func_def_135, type, sK4: ((nat > set_nat) > nat)).
thf(func_def_136, type, sK5: ((nat > set_nat) > nat)).
thf(func_def_137, type, sK6: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_138, type, sK7: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_139, type, sK8: ((product_prod_nat_nat > produc194167194tv_nat) > (product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_140, type, sK9: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
thf(func_def_141, type, sK10: ((paraco1605129243lle_tv > nat) > nat)).
thf(func_def_142, type, sK11: ((nat > nat) > nat > nat)).
thf(func_def_143, type, sK12: ((set_nat > set_Pa1764573435lle_tv) > set_nat)).
thf(func_def_144, type, sK13: ((set_nat > set_Pa1764573435lle_tv) > set_nat)).
thf(func_def_145, type, sK14: ((produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > produc270694976lle_tv)).
thf(func_def_146, type, sK15: ((paraco1605129243lle_tv > nat) > nat > paraco1605129243lle_tv)).
thf(func_def_147, type, sK16: (set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_148, type, sK17: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_149, type, sK18: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_150, type, sK19: (set_Pr13445366lle_tv > produc270694976lle_tv)).
thf(func_def_151, type, sK20: ((produc270694976lle_tv > $o) > set_Pr1986765409at_nat > (product_prod_nat_nat > produc270694976lle_tv) > product_prod_nat_nat)).
thf(func_def_152, type, sK21: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_153, type, sK22: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
thf(func_def_154, type, sK23: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
thf(func_def_155, type, sK24: (set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > $o) > product_prod_nat_nat)).
thf(func_def_156, type, sK25: ((nat > nat) > set_nat > (nat > nat) > nat)).
thf(func_def_157, type, sK26: ((set_nat > set_nat) > set_nat)).
thf(func_def_158, type, sK27: ((set_nat > set_nat) > set_nat)).
thf(func_def_159, type, sK28: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_160, type, sK29: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_161, type, sK30: ((nat > nat) > set_nat > nat)).
thf(func_def_162, type, sK31: ((nat > nat) > set_nat > nat)).
thf(func_def_163, type, sK32: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_164, type, sK33: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_165, type, sK34: (set_set_nat > (set_nat > set_Pa1764573435lle_tv) > set_nat)).
thf(func_def_166, type, sK35: (set_set_nat > (set_nat > set_Pa1764573435lle_tv) > set_nat)).
thf(func_def_167, type, sK36: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_168, type, sK37: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_169, type, sK38: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_170, type, sK39: (set_nat > (nat > set_nat) > nat)).
thf(func_def_171, type, sK40: (set_nat > (nat > set_nat) > nat)).
thf(func_def_172, type, sK41: (set_nat > set_nat > nat)).
thf(func_def_173, type, sK42: (produc194167194tv_nat > set_Pr1986765409at_nat > (product_prod_nat_nat > produc194167194tv_nat) > product_prod_nat_nat)).
thf(func_def_174, type, sK43: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_175, type, sK44: (set_set_nat > (set_nat > nat) > set_nat)).
thf(func_def_176, type, sK45: (set_set_nat > (set_nat > nat) > set_nat)).
thf(func_def_177, type, sK46: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_178, type, sK47: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_179, type, sK48: ((set_nat > nat) > set_nat)).
thf(func_def_180, type, sK49: ((set_nat > nat) > set_nat)).
thf(func_def_181, type, sK50: ((nat > nat) > nat > nat)).
thf(func_def_182, type, sK51: (nat > (nat > nat) > nat)).
thf(func_def_183, type, sK52: ((nat > nat) > nat)).
thf(func_def_184, type, sK53: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_185, type, sK54: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_186, type, sK55: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_187, type, sK56: (produc270694976lle_tv > (product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_188, type, sK57: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_189, type, sK58: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_190, type, sK59: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > set_nat > nat)).
thf(func_def_191, type, sK60: (set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > $o) > product_prod_nat_nat)).
thf(func_def_192, type, sK61: ((nat > nat) > nat)).
thf(func_def_193, type, sK62: ((nat > nat) > nat)).
thf(func_def_194, type, sK63: nat).
thf(func_def_195, type, sK64: (nat > (product_prod_nat_nat > nat) > product_prod_nat_nat)).
thf(func_def_196, type, sK65: (product_prod_nat_nat > nat > (product_prod_nat_nat > nat) > product_prod_nat_nat)).
thf(func_def_197, type, sK66: ((nat > paraco1605129243lle_tv) > set_nat > (nat > paraco1605129243lle_tv) > nat)).
thf(func_def_198, type, sK67: ((nat > $o) > (nat > $o) > nat)).
thf(func_def_199, type, sK68: (set_nat > nat)).
thf(func_def_200, type, sK69: (produc270694976lle_tv > (produc270694976lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > produc270694976lle_tv)).
thf(func_def_201, type, sK70: ((produc270694976lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > produc270694976lle_tv)).
thf(func_def_202, type, sK71: ((nat > nat) > nat > set_nat > nat)).
thf(func_def_203, type, sK72: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_204, type, sK73: produc194167194tv_nat).
thf(func_def_205, type, sK74: ((nat > nat) > nat)).
thf(func_def_206, type, sK75: ((nat > nat) > nat)).
thf(func_def_207, type, sK76: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_208, type, sK77: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > nat)).
thf(func_def_209, type, sK78: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
thf(func_def_210, type, sK79: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
thf(func_def_211, type, sK80: ((nat > nat) > set_nat > (nat > nat) > nat)).
thf(func_def_212, type, sK81: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
thf(func_def_213, type, sK82: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
thf(func_def_214, type, sK83: ((product_prod_nat_nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > product_prod_nat_nat)).
thf(func_def_215, type, sK84: (product_prod_nat_nat > (product_prod_nat_nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > product_prod_nat_nat)).
thf(func_def_216, type, sK85: ((nat > paraco1605129243lle_tv) > set_nat > nat)).
thf(func_def_217, type, sK86: ((nat > paraco1605129243lle_tv) > set_nat > nat)).
thf(func_def_218, type, sK87: ((set_Pa1764573435lle_tv > nat) > set_Pa1764573435lle_tv)).
thf(func_def_219, type, sK88: ((set_Pa1764573435lle_tv > nat) > set_Pa1764573435lle_tv)).
thf(func_def_220, type, sK89: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > produc1647334210lle_tv)).
thf(func_def_221, type, sK90: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > produc1647334210lle_tv)).
thf(func_def_222, type, sK91: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_223, type, sK92: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_224, type, sK93: ((produc194167194tv_nat > $o) > set_Pr1986765409at_nat > (product_prod_nat_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_225, type, sK94: ((nat > nat) > (nat > nat) > set_nat > nat)).
thf(func_def_226, type, sK95: ((nat > nat) > (nat > nat) > set_nat > nat)).
thf(func_def_227, type, sK96: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_228, type, sK97: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_229, type, sK98: product_prod_nat_nat).
thf(func_def_230, type, sK99: (set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_231, type, sK100: paraco1605129243lle_tv).
thf(func_def_232, type, sK101: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > produc270694976lle_tv)).
thf(func_def_233, type, sK102: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > produc270694976lle_tv)).
thf(func_def_234, type, sK103: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_235, type, sK104: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > nat)).
thf(func_def_236, type, sK105: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv)).
thf(func_def_237, type, sK106: ((nat > nat) > set_nat > nat)).
thf(func_def_238, type, sK107: ((nat > nat) > set_nat > nat)).
thf(func_def_239, type, sK108: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > nat)).
thf(func_def_240, type, sK109: (set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_241, type, sK110: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_242, type, sK111: ((nat > paraco1605129243lle_tv) > nat)).
thf(func_def_243, type, sK112: ((set_Pa1764573435lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv)).
thf(func_def_244, type, sK113: ((set_Pa1764573435lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv)).
thf(func_def_245, type, sK114: ((nat > nat) > (nat > nat) > nat)).
thf(func_def_246, type, sK115: (set_nat > set_nat > (nat > nat) > nat)).
thf(func_def_247, type, sK116: ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_248, type, sK117: ((produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > produc270694976lle_tv)).
thf(func_def_249, type, sK118: ((set_Pa1764573435lle_tv > set_Pa1764573435lle_tv) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_250, type, sK119: ((set_Pa1764573435lle_tv > set_Pa1764573435lle_tv) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_251, type, sK120: ((nat > set_Pa1764573435lle_tv) > set_nat > nat)).
thf(func_def_252, type, sK121: ((nat > set_Pa1764573435lle_tv) > set_nat > nat)).
thf(func_def_253, type, sK122: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_254, type, sK123: (set_Pa1764573435lle_tv > (nat > paraco1605129243lle_tv) > set_nat > nat)).
thf(func_def_255, type, sK124: (set_nat > (nat > nat) > (nat > nat) > nat)).
thf(func_def_256, type, sK125: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_257, type, sK126: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_258, type, sK127: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_259, type, sK128: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_260, type, sK129: (set_nat > set_nat > (nat > nat) > set_nat)).
thf(func_def_261, type, sK130: (set_nat > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
thf(func_def_262, type, sK131: ((product_prod_nat_nat > produc270694976lle_tv) > (product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_263, type, sK132: (paraco1605129243lle_tv > nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
thf(func_def_264, type, sK133: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
thf(func_def_265, type, sK134: ((produc270694976lle_tv > $o) > set_Pr1986765409at_nat > (product_prod_nat_nat > produc270694976lle_tv) > produc270694976lle_tv)).
thf(func_def_266, type, sK135: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
thf(func_def_267, type, sK136: (nat > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
thf(func_def_268, type, sK137: ((produc194167194tv_nat > nat) > nat > produc194167194tv_nat)).
thf(func_def_269, type, sK138: (produc194167194tv_nat > (produc194167194tv_nat > nat) > nat > produc194167194tv_nat)).
thf(func_def_270, type, sK139: ((nat > nat) > set_nat > (nat > $o) > nat)).
thf(func_def_271, type, sK140: (set_nat > (nat > $o) > (nat > nat) > nat)).
thf(func_def_272, type, sK141: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_273, type, sK142: (set_nat > (paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > nat)).
thf(func_def_274, type, sK143: (set_Pr1725653840tv_nat > produc194167194tv_nat)).
thf(func_def_275, type, sK144: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
thf(func_def_276, type, sK145: (set_set_nat > (set_nat > set_nat) > set_nat)).
thf(func_def_277, type, sK146: (set_set_nat > (set_nat > set_nat) > set_nat)).
thf(func_def_278, type, sK147: ((nat > nat) > set_nat > nat)).
thf(func_def_279, type, sK148: ((nat > nat) > set_nat > nat)).
thf(func_def_280, type, sK149: (set_nat > nat)).
thf(func_def_281, type, sK150: (set_nat > nat)).
thf(func_def_282, type, sK151: produc270694976lle_tv).
thf(func_def_283, type, sK152: ((paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_284, type, sK153: (produc194167194tv_nat > paraco1605129243lle_tv > (produc194167194tv_nat > paraco1605129243lle_tv) > produc194167194tv_nat)).
thf(func_def_285, type, sK154: (paraco1605129243lle_tv > (produc194167194tv_nat > paraco1605129243lle_tv) > produc194167194tv_nat)).
thf(func_def_286, type, sK155: (set_nat > (nat > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > nat)).
thf(func_def_287, type, sK156: (nat > (nat > nat) > nat > nat)).
thf(func_def_288, type, sK157: ((nat > nat) > nat > nat)).
thf(func_def_289, type, sK158: ((paraco1605129243lle_tv > $o) > set_nat > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
thf(func_def_290, type, sK159: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_291, type, sK160: ((produc194167194tv_nat > $o) > (product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_292, type, sK161: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_293, type, sK162: ((set_Pa1764573435lle_tv > set_nat) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_294, type, sK163: ((set_Pa1764573435lle_tv > set_nat) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_295, type, sK164: ((nat > set_Pa1764573435lle_tv) > nat)).
thf(func_def_296, type, sK165: ((nat > set_Pa1764573435lle_tv) > nat)).
thf(func_def_297, type, sK166: ((set_Pa1764573435lle_tv > nat) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_298, type, sK167: ((set_Pa1764573435lle_tv > nat) > set_se800614875lle_tv > set_Pa1764573435lle_tv)).
thf(func_def_299, type, sK168: (set_Pr1986765409at_nat > product_prod_nat_nat)).
thf(func_def_300, type, sK169: ((set_Pa1764573435lle_tv > set_nat) > set_Pa1764573435lle_tv)).
thf(func_def_301, type, sK170: ((set_Pa1764573435lle_tv > set_nat) > set_Pa1764573435lle_tv)).
thf(func_def_302, type, sK171: (product_prod_nat_nat > set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
thf(func_def_303, type, sK172: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_304, type, sK173: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
thf(func_def_305, type, sK174: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
thf(func_def_306, type, sK175: ((nat > nat) > (nat > nat) > nat)).
thf(func_def_307, type, sK176: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > $o) > set_nat > nat)).
thf(func_def_308, type, sK177: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
thf(func_def_309, type, sK178: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_310, type, sK179: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
thf(func_def_311, type, sK180: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_312, type, sK181: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
thf(func_def_313, type, sK182: ((paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
thf(func_def_314, type, sK183: (nat > (produc270694976lle_tv > nat) > produc270694976lle_tv)).
thf(func_def_315, type, sK184: (produc270694976lle_tv > nat > (produc270694976lle_tv > nat) > produc270694976lle_tv)).
thf(func_def_316, type, vNOT: ($o > $o)).
thf(func_def_318, type, inv_paraco793048302_Indet_186: (paraco1605129243lle_tv > nat)).
thf(f219,axiom,(
  ! [X1 : paraco1605129243lle_tv,X0 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) = ((paraco1147068288nge_tv @ f @ X1))) => (X0 = X1))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062)).
thf(f227,axiom,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = ! [X2 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_inj__def)).
thf(f239,conjecture,(
  (inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
thf(f240,negated_conjecture,(
  ~(inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)),
  inference(negated_conjecture,[status(cth)],[f239])).
thf(f362,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = ! [X1 : paraco1605129243lle_tv,X2 : paraco1605129243lle_tv] : ((((X0 @ X1)) = ((X0 @ X2))) => (X1 = X2)))),
  inference(rectify,[],[f227])).
thf(f363,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (! [X1 : paraco1605129243lle_tv,X2 : paraco1605129243lle_tv] : ((((X0 @ X2)) = ((X0 @ X1))) => (X1 = X2)) <=> (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true))),
  inference(fool_elimination,[],[f362])).
thf(f814,plain,(
  ~(inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)),
  inference(rectify,[],[f240])).
thf(f815,plain,(
  ~ (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) = $true)),
  inference(fool_elimination,[],[f814])).
thf(f976,plain,(
  ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) = ((paraco1147068288nge_tv @ f @ X1))) => (X0 = X1))),
  inference(rectify,[],[f219])).
thf(f988,plain,(
  (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) != $true)),
  inference(flattening,[],[f815])).
thf(f1208,plain,(
  ! [X1 : paraco1605129243lle_tv,X0 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) != ((paraco1147068288nge_tv @ f @ X1))) | (X0 = X1))),
  inference(ennf_transformation,[],[f976])).
thf(f1311,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : ((((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true) <=> ! [X2 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((X1 = X2) | (((X0 @ X2)) != ((X0 @ X1)))))),
  inference(ennf_transformation,[],[f363])).
thf(f1396,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (((((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true) | ? [X2 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((X1 != X2) & (((X0 @ X2)) = ((X0 @ X1))))) & (! [X2 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((X1 = X2) | (((X0 @ X2)) != ((X0 @ X1)))) | (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) != $true)))),
  inference(nnf_transformation,[],[f1311])).
thf(f1397,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (((((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true) | ? [X1 : paraco1605129243lle_tv,X2 : paraco1605129243lle_tv] : ((X1 != X2) & (((X0 @ X2)) = ((X0 @ X1))))) & (! [X3 : paraco1605129243lle_tv,X4 : paraco1605129243lle_tv] : ((X3 = X4) | (((X0 @ X3)) != ((X0 @ X4)))) | (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) != $true)))),
  inference(rectify,[],[f1396])).
thf(f1398,plain,(
  ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : (((((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true) | ((((sK6 @ X0)) != ((sK7 @ X0))) & (((X0 @ (sK6 @ X0))) = ((X0 @ (sK7 @ X0)))))) & (! [X3 : paraco1605129243lle_tv,X4 : paraco1605129243lle_tv] : ((X3 = X4) | (((X0 @ X3)) != ((X0 @ X4)))) | (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) != $true)))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,$thf(sK1 @ X0)),skolemize(X2,$thf(sK1 @ X0))],[f1397])).
thf(f1426,plain,(
  ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) != ((paraco1147068288nge_tv @ f @ X1))) | (X0 = X1))),
  inference(rectify,[],[f1208])).
thf(f1814,plain,(
  ( ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : ((((X0 @ (sK6 @ X0))) = ((X0 @ (sK7 @ X0)))) | (((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true)) )),
  inference(cnf_transformation,[],[f1398])).
thf(f1815,plain,(
  ( ! [X0 : (paraco1605129243lle_tv > paraco1605129243lle_tv)] : ((((inj_on772319074lle_tv @ X0 @ top_to1057771083lle_tv)) = $true) | (((sK6 @ X0)) != ((sK7 @ X0)))) )),
  inference(cnf_transformation,[],[f1398])).
thf(f1850,plain,(
  ( ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) != ((paraco1147068288nge_tv @ f @ X1))) | (X0 = X1)) )),
  inference(cnf_transformation,[],[f1426])).
thf(f2182,plain,(
  (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) != $true)),
  inference(cnf_transformation,[],[f988])).
thf(f2599,definition,(
  spl185_2 <=> (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) = $true)),
  introduced(definition,[new_symbols(definition,[spl185_2])],[avatar_definition])).
thf(f2601,plain,(
  (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) != $true) | spl185_2),
  inference(avatar_component_clause,[],[f2599])).
thf(f2602,plain,(
  ~spl185_2),
  inference(avatar_split_clause,[],[f2182,f2599])).
thf(f2798,plain,(
  ($true != $true) | (((sK7 @ (paraco1147068288nge_tv @ f))) != ((sK6 @ (paraco1147068288nge_tv @ f)))) | spl185_2),
  inference(superposition,[],[f2601,f1815])).
thf(f2799,plain,(
  (((sK7 @ (paraco1147068288nge_tv @ f))) != ((sK6 @ (paraco1147068288nge_tv @ f)))) | spl185_2),
  inference(trivial_inequality_removal,[],[f2798])).
thf(f2801,definition,(
  spl185_42 <=> (((sK7 @ (paraco1147068288nge_tv @ f))) = ((sK6 @ (paraco1147068288nge_tv @ f))))),
  introduced(definition,[new_symbols(definition,[spl185_42])],[avatar_definition])).
thf(f2803,plain,(
  (((sK7 @ (paraco1147068288nge_tv @ f))) != ((sK6 @ (paraco1147068288nge_tv @ f)))) | spl185_42),
  inference(avatar_component_clause,[],[f2801])).
thf(f2804,plain,(
  ~spl185_42 | spl185_2),
  inference(avatar_split_clause,[],[f2799,f2599,f2801])).
thf(f2824,plain,(
  ( ! [X0 : paraco1605129243lle_tv] : ((((sK6 @ (paraco1147068288nge_tv @ f))) = X0) | (((paraco1147068288nge_tv @ f @ X0)) != ((paraco1147068288nge_tv @ f @ (sK7 @ (paraco1147068288nge_tv @ f))))) | (((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)) = $true)) )),
  inference(superposition,[],[f1850,f1814])).
thf(f2827,plain,(
  ( ! [X0 : paraco1605129243lle_tv] : ((((paraco1147068288nge_tv @ f @ X0)) != ((paraco1147068288nge_tv @ f @ (sK7 @ (paraco1147068288nge_tv @ f))))) | (((sK6 @ (paraco1147068288nge_tv @ f))) = X0)) ) | spl185_2),
  inference(forward_subsumption_resolution,[],[f2824,f2601])).
thf(f2830,plain,(
  (((sK7 @ (paraco1147068288nge_tv @ f))) = ((sK6 @ (paraco1147068288nge_tv @ f)))) | spl185_2),
  inference(equality_resolution,[],[f2827])).
thf(f2831,plain,(
  $false | (spl185_2 | spl185_42)),
  inference(forward_subsumption_resolution,[],[f2830,f2803])).
thf(f2832,plain,(
  spl185_2 | spl185_42),
  inference(avatar_contradiction_clause,[],[f2831])).
cnf(s2, plain, ~spl185_2, inference(sat_conversion,[],[f2602])).
cnf(s44, plain, spl185_2 | ~spl185_42, inference(sat_conversion,[],[f2804])).
cnf(s46, plain, spl185_2 | spl185_42, inference(sat_conversion,[],[f2832])).
cnf(s47, plain, spl185_42, inference(rat,[],[s46,s2])).
cnf(s49, plain, $false, inference(rat,[],[s44,s47,s2])).
thf(f2833,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s49])).
% SZS output end Proof for theBenchmark