0.11/0.27 % Problem : SLH0097^1 : TPTP v8.2.0. Released v8.2.0. 0.11/0.28 % Command : run_E %s %d THM 0.29/0.49 % Computer : n027.cluster.edu 0.29/0.49 % Model : x86_64 x86_64 0.29/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.29/0.49 % Memory : 8042.1875MB 0.29/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.29/0.49 % CPULimit : 30 0.29/0.49 % WCLimit : 30 0.29/0.49 % DateTime : Mon Jul 3 08:48:17 EDT 2023 0.29/0.49 % CPUTime : 0.40/0.61 The problem SPC is TH0_THM_EQU_NAR 0.40/0.62 Running higher-order on 1 cores theorem proving 0.40/0.62 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061 0.40/0.62 # Version: 3.0pre003-ho 1.63/1.85 # Preprocessing class: HMLMSMSMSSMNHSA. 1.63/1.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.63/1.85 # Starting new_ho_10 with 30s (1) cores 1.63/1.85 # new_ho_10 with pid 19241 completed with status 0 1.63/1.85 # Result found by new_ho_10 1.63/1.85 # Preprocessing class: HMLMSMSMSSMNHSA. 1.63/1.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.63/1.85 # Starting new_ho_10 with 30s (1) cores 1.63/1.85 # No SInE strategy applied 1.63/1.85 # Search class: HGHSM-SMLM32-MHSFFSBN 1.63/1.85 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.63/1.85 # Starting sh2 with 13s (1) cores 1.63/1.85 # sh2 with pid 19242 completed with status 0 1.63/1.85 # Result found by sh2 1.63/1.85 # Preprocessing class: HMLMSMSMSSMNHSA. 1.63/1.85 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.63/1.85 # Starting new_ho_10 with 30s (1) cores 1.63/1.85 # No SInE strategy applied 1.63/1.85 # Search class: HGHSM-SMLM32-MHSFFSBN 1.63/1.85 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.63/1.85 # Starting sh2 with 13s (1) cores 1.63/1.85 # Preprocessing time : 0.045 s 1.63/1.85 # Presaturation interreduction done 1.63/1.85 1.63/1.85 # Proof found! 1.63/1.85 # SZS status Theorem 1.63/1.85 # SZS output start CNFRefutation 1.63/1.85 thf(decl_22, type, disjoi6812529866258094733n_on_a: set_a > set_set_a > $o). 1.63/1.85 thf(decl_23, type, disjoi6812529866258094734n_on_b: set_b > set_set_b > $o). 1.63/1.85 thf(decl_24, type, cofinite_nat: filter_nat). 1.63/1.85 thf(decl_25, type, cofini76534143805230541t_unit: filter_Product_unit). 1.63/1.85 thf(decl_26, type, finite_Fpow_a: set_a > set_set_a). 1.63/1.85 thf(decl_27, type, finite_Fpow_b: set_b > set_set_b). 1.63/1.85 thf(decl_28, type, finite_card_nat: set_nat > nat). 1.63/1.85 thf(decl_29, type, finite410649719033368117t_unit: set_Product_unit > nat). 1.63/1.85 thf(decl_30, type, finite_card_a: set_a > nat). 1.63/1.85 thf(decl_31, type, finite_card_b: set_b > nat). 1.63/1.85 thf(decl_32, type, finite2115694454571419734at_nat: set_nat_nat > $o). 1.63/1.85 thf(decl_33, type, finite4257689694021357085t_unit: set_nat_Product_unit > $o). 1.63/1.85 thf(decl_34, type, finite4332129999517832055it_nat: set_Product_unit_nat > $o). 1.63/1.85 thf(decl_35, type, finite6665322292308856380t_unit: set_Pr1882883127215053275t_unit > $o). 1.63/1.85 thf(decl_36, type, finite_finite_nat: set_nat > $o). 1.63/1.85 thf(decl_37, type, finite5523153139673422903on_nat: set_option_nat > $o). 1.63/1.85 thf(decl_38, type, finite1445617369574913404t_unit: set_op3165557761946182707t_unit > $o). 1.63/1.85 thf(decl_39, type, finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o). 1.63/1.85 thf(decl_40, type, finite5113082511001691337t_unit: set_Pr4334478416066269672t_unit > $o). 1.63/1.85 thf(decl_41, type, finite5187522816498166307it_nat: set_Pr1763845938948868674it_nat > $o). 1.63/1.85 thf(decl_42, type, finite6816719414181127824t_unit: set_Pr5094982260447487303t_unit > $o). 1.63/1.85 thf(decl_43, type, finite4290736615968046902t_unit: set_Product_unit > $o). 1.63/1.85 thf(decl_44, type, finite1152437895449049373et_nat: set_set_nat > $o). 1.63/1.85 thf(decl_45, type, finite1772178364199683094t_unit: set_set_Product_unit > $o). 1.63/1.85 thf(decl_46, type, finite6187706683773761046at_nat: set_Sum_sum_nat_nat > $o). 1.63/1.85 thf(decl_47, type, finite4327512606132785245t_unit: set_Su7539578257924484756t_unit > $o). 1.63/1.85 thf(decl_48, type, finite4401952911629260215it_nat: set_Su4968945780807083758it_nat > $o). 1.63/1.85 thf(decl_49, type, finite3146551501593861116t_unit: set_Su4110612849109743515t_unit > $o). 1.63/1.85 thf(decl_50, type, finite_finite_a: set_a > $o). 1.63/1.85 thf(decl_51, type, finite_finite_b: set_b > $o). 1.63/1.85 thf(decl_52, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o). 1.63/1.85 thf(decl_53, type, bij_be6173805350841306181t_unit: (nat > product_unit) > set_nat > set_Product_unit > $o). 1.63/1.85 thf(decl_54, type, bij_betw_nat_a: (nat > a) > set_nat > set_a > $o). 1.63/1.85 thf(decl_55, type, bij_betw_nat_b: (nat > b) > set_nat > set_b > $o). 1.63/1.85 thf(decl_56, type, bij_be7542643206029314535it_nat: (product_unit > nat) > set_Product_unit > set_nat > $o). 1.63/1.85 thf(decl_57, type, bij_be8184862151332773558t_unit: (product_unit > product_unit) > set_Product_unit > set_Product_unit > $o). 1.63/1.85 thf(decl_58, type, bij_be982050936438670503unit_a: (product_unit > a) > set_Product_unit > set_a > $o). 1.63/1.85 thf(decl_59, type, bij_be982050936438670504unit_b: (product_unit > b) > set_Product_unit > set_b > $o). 1.63/1.85 thf(decl_60, type, bij_betw_set_a_set_b: (set_a > set_b) > set_set_a > set_set_b > $o). 1.63/1.85 thf(decl_61, type, bij_betw_set_b_set_a: (set_b > set_a) > set_set_b > set_set_a > $o). 1.63/1.85 thf(decl_62, type, bij_betw_a_nat: (a > nat) > set_a > set_nat > $o). 1.63/1.85 thf(decl_63, type, bij_be8910058485302438917t_unit: (a > product_unit) > set_a > set_Product_unit > $o). 1.63/1.85 thf(decl_64, type, bij_betw_a_a: (a > a) > set_a > set_a > $o). 1.63/1.85 thf(decl_65, type, bij_betw_a_b: (a > b) > set_a > set_b > $o). 1.63/1.85 thf(decl_66, type, bij_betw_b_nat: (b > nat) > set_b > set_nat > $o). 1.63/1.85 thf(decl_67, type, bij_be3637578084066251588t_unit: (b > product_unit) > set_b > set_Product_unit > $o). 1.63/1.85 thf(decl_68, type, bij_betw_b_a: (b > a) > set_b > set_a > $o). 1.63/1.85 thf(decl_69, type, bij_betw_b_b: (b > b) > set_b > set_b > $o). 1.63/1.85 thf(decl_70, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 1.63/1.85 thf(decl_71, type, inj_on7061601236592826506t_unit: (nat > product_unit) > set_nat > $o). 1.63/1.85 thf(decl_72, type, inj_on_nat_a: (nat > a) > set_nat > $o). 1.63/1.85 thf(decl_73, type, inj_on_nat_b: (nat > b) > set_nat > $o). 1.63/1.85 thf(decl_74, type, inj_on8430439091780834860it_nat: (product_unit > nat) > set_Product_unit > $o). 1.63/1.85 thf(decl_75, type, inj_on8151373323710067377t_unit: (product_unit > product_unit) > set_Product_unit > $o). 1.63/1.85 thf(decl_76, type, inj_on8151663806560157602unit_a: (product_unit > a) > set_Product_unit > $o). 1.63/1.85 thf(decl_77, type, inj_on8151663806560157603unit_b: (product_unit > b) > set_Product_unit > $o). 1.63/1.85 thf(decl_78, type, inj_on_set_a_set_b: (set_a > set_b) > set_set_a > $o). 1.63/1.85 thf(decl_79, type, inj_on_set_b_set_a: (set_b > set_a) > set_set_b > $o). 1.63/1.85 thf(decl_80, type, inj_on_a_nat: (a > nat) > set_a > $o). 1.63/1.85 thf(decl_81, type, inj_on_a_a: (a > a) > set_a > $o). 1.63/1.85 thf(decl_82, type, inj_on_a_b: (a > b) > set_a > $o). 1.63/1.85 thf(decl_83, type, inj_on_b_nat: (b > nat) > set_b > $o). 1.63/1.85 thf(decl_84, type, inj_on_b_a: (b > a) > set_b > $o). 1.63/1.85 thf(decl_85, type, inj_on_b_b: (b > b) > set_b > $o). 1.63/1.85 thf(decl_86, type, monotone_on_nat_nat: set_nat > (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > $o). 1.63/1.85 thf(decl_87, type, monoto5864591587204495892t_unit: set_nat > (nat > nat > $o) > (product_unit > product_unit > $o) > (nat > product_unit) > $o). 1.63/1.85 thf(decl_88, type, monoto7233429442392504246it_nat: set_Product_unit > (product_unit > product_unit > $o) > (nat > nat > $o) > (product_unit > nat) > $o). 1.63/1.85 thf(decl_89, type, monoto4644625510427873703t_unit: set_Product_unit > (product_unit > product_unit > $o) > (product_unit > product_unit > $o) > (product_unit > product_unit) > $o). 1.63/1.85 thf(decl_90, type, the_inv_into_nat_nat: set_nat > (nat > nat) > nat > nat). 1.63/1.85 thf(decl_91, type, the_in3181700400674233800t_unit: set_nat > (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_92, type, the_inv_into_nat_a: set_nat > (nat > a) > a > nat). 1.63/1.85 thf(decl_93, type, the_inv_into_nat_b: set_nat > (nat > b) > b > nat). 1.63/1.85 thf(decl_94, type, the_in4550538255862242154it_nat: set_Product_unit > (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_95, type, the_in3497175304077540020_set_b: set_set_a > (set_a > set_b) > set_b > set_a). 1.63/1.85 thf(decl_96, type, the_in4985137337069109746_set_a: set_set_b > (set_b > set_a) > set_a > set_b). 1.63/1.85 thf(decl_97, type, the_inv_into_a_nat: set_a > (a > nat) > nat > a). 1.63/1.85 thf(decl_98, type, the_inv_into_a_a: set_a > (a > a) > a > a). 1.63/1.85 thf(decl_99, type, the_inv_into_a_b: set_a > (a > b) > b > a). 1.63/1.85 thf(decl_100, type, the_inv_into_b_nat: set_b > (b > nat) > nat > b). 1.63/1.85 thf(decl_101, type, the_inv_into_b_a: set_b > (b > a) > a > b). 1.63/1.85 thf(decl_102, type, the_inv_into_b_b: set_b > (b > b) > b > b). 1.63/1.85 thf(decl_103, type, minus_minus_nat: nat > nat > nat). 1.63/1.85 thf(decl_104, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 1.63/1.85 thf(decl_105, type, minus_6452836326544984404t_unit: set_Product_unit > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_106, type, minus_5736297505244876581_set_a: set_set_a > set_set_a > set_set_a). 1.63/1.85 thf(decl_107, type, minus_5807331545291222566_set_b: set_set_b > set_set_b > set_set_b). 1.63/1.85 thf(decl_108, type, minus_minus_set_a: set_a > set_a > set_a). 1.63/1.85 thf(decl_109, type, minus_minus_set_b: set_b > set_b > set_b). 1.63/1.85 thf(decl_110, type, one_one_nat: nat). 1.63/1.85 thf(decl_111, type, uminus5710092332889474511et_nat: set_nat > set_nat). 1.63/1.85 thf(decl_112, type, uminus5944136376168626660t_unit: set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_113, type, uminus_uminus_set_a: set_a > set_a). 1.63/1.85 thf(decl_114, type, uminus_uminus_set_b: set_b > set_b). 1.63/1.85 thf(decl_115, type, zero_zero_nat: nat). 1.63/1.85 thf(decl_116, type, hilber5277034221543178913on_nat: (nat > nat) > $o). 1.63/1.85 thf(decl_117, type, hilber5511544253790364284t_unit: (product_unit > product_unit) > $o). 1.63/1.85 thf(decl_118, type, hilber3633877196798814958at_nat: set_nat > (nat > nat) > nat > nat). 1.63/1.85 thf(decl_119, type, hilber8138308709593191535t_unit: set_nat > (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_120, type, hilber2795491120104822624_nat_a: set_nat > (nat > a) > a > nat). 1.63/1.85 thf(decl_121, type, hilber2795491120104822625_nat_b: set_nat > (nat > b) > b > nat). 1.63/1.85 thf(decl_122, type, hilber283774527926424081it_nat: set_Product_unit > (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_123, type, hilber5531604916781629196t_unit: set_Product_unit > (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_124, type, hilber2411356885704684285unit_a: set_Product_unit > (product_unit > a) > a > product_unit). 1.63/1.85 thf(decl_125, type, hilber2411356885704684286unit_b: set_Product_unit > (product_unit > b) > b > product_unit). 1.63/1.85 thf(decl_126, type, hilbert_inv_into_a_a: set_a > (a > a) > a > a). 1.63/1.85 thf(decl_127, type, hilbert_inv_into_a_b: set_a > (a > b) > b > a). 1.63/1.85 thf(decl_128, type, hilbert_inv_into_b_a: set_b > (b > a) > a > b). 1.63/1.85 thf(decl_129, type, hilbert_inv_into_b_b: set_b > (b > b) > b > b). 1.63/1.85 thf(decl_130, type, inf_inf_nat: nat > nat > nat). 1.63/1.85 thf(decl_131, type, inf_inf_set_nat: set_nat > set_nat > set_nat). 1.63/1.85 thf(decl_132, type, inf_in4660618365625256667t_unit: set_Product_unit > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_133, type, inf_inf_set_a: set_a > set_a > set_a). 1.63/1.85 thf(decl_134, type, inf_inf_set_b: set_b > set_b > set_b). 1.63/1.85 thf(decl_135, type, semila1667268886620078168et_nat: (set_nat > set_nat > set_nat) > set_nat > (set_nat > set_nat > $o) > (set_nat > set_nat > $o) > $o). 1.63/1.85 thf(decl_136, type, semila4423693302617054363t_unit: (set_Product_unit > set_Product_unit > set_Product_unit) > set_Product_unit > (set_Product_unit > set_Product_unit > $o) > (set_Product_unit > set_Product_unit > $o) > $o). 1.63/1.85 thf(decl_137, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 1.63/1.85 thf(decl_138, type, sup_su793286257634532545t_unit: set_Product_unit > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_139, type, sup_sup_set_a: set_a > set_a > set_a). 1.63/1.85 thf(decl_140, type, sup_sup_set_b: set_b > set_b > set_b). 1.63/1.85 thf(decl_141, type, lattic8265883725875713057ax_nat: set_nat > nat). 1.63/1.85 thf(decl_142, type, lattic8721135487736765967in_nat: set_nat > nat). 1.63/1.85 thf(decl_143, type, lattic5238388535129920115in_nat: set_nat > nat). 1.63/1.85 thf(decl_144, type, suc: nat > nat). 1.63/1.85 thf(decl_145, type, bot_bot_a_o: a > $o). 1.63/1.85 thf(decl_146, type, bot_bot_b_o: b > $o). 1.63/1.85 thf(decl_147, type, bot_bot_filter_nat: filter_nat). 1.63/1.85 thf(decl_148, type, bot_bo7697929036666283903t_unit: filter_Product_unit). 1.63/1.85 thf(decl_149, type, bot_bot_nat: nat). 1.63/1.85 thf(decl_150, type, bot_bot_set_nat: set_nat). 1.63/1.85 thf(decl_151, type, bot_bo3957492148770167129t_unit: set_Product_unit). 1.63/1.85 thf(decl_152, type, bot_bot_set_set_a: set_set_a). 1.63/1.85 thf(decl_153, type, bot_bot_set_set_b: set_set_b). 1.63/1.85 thf(decl_154, type, bot_bot_set_a: set_a). 1.63/1.85 thf(decl_155, type, bot_bot_set_b: set_b). 1.63/1.85 thf(decl_156, type, ord_less_nat: nat > nat > $o). 1.63/1.85 thf(decl_157, type, ord_le361264281704409273t_unit: product_unit > product_unit > $o). 1.63/1.85 thf(decl_158, type, ord_less_set_nat: set_nat > set_nat > $o). 1.63/1.85 thf(decl_159, type, ord_le8056459307392131481t_unit: set_Product_unit > set_Product_unit > $o). 1.63/1.85 thf(decl_160, type, ord_less_set_a: set_a > set_a > $o). 1.63/1.85 thf(decl_161, type, ord_less_set_b: set_b > set_b > $o). 1.63/1.85 thf(decl_162, type, ord_less_eq_nat: nat > nat > $o). 1.63/1.85 thf(decl_163, type, ord_le3221252021190050221t_unit: product_unit > product_unit > $o). 1.63/1.85 thf(decl_164, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.63/1.85 thf(decl_165, type, ord_le3507040750410214029t_unit: set_Product_unit > set_Product_unit > $o). 1.63/1.85 thf(decl_166, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o). 1.63/1.85 thf(decl_167, type, ord_le3795704787696855135_set_b: set_set_b > set_set_b > $o). 1.63/1.85 thf(decl_168, type, ord_less_eq_set_a: set_a > set_a > $o). 1.63/1.85 thf(decl_169, type, ord_less_eq_set_b: set_b > set_b > $o). 1.63/1.85 thf(decl_170, type, top_top_nat_o: nat > $o). 1.63/1.85 thf(decl_171, type, top_to2465898995584390880unit_o: product_unit > $o). 1.63/1.85 thf(decl_172, type, top_top_a_o: a > $o). 1.63/1.85 thf(decl_173, type, top_top_b_o: b > $o). 1.63/1.85 thf(decl_174, type, top_top_set_nat_nat: set_nat_nat). 1.63/1.85 thf(decl_175, type, top_to8442108875268333988t_unit: set_nat_Product_unit). 1.63/1.85 thf(decl_176, type, top_to5871476398150932990it_nat: set_Product_unit_nat). 1.63/1.85 thf(decl_177, type, top_to658657236369668235t_unit: set_Pr1882883127215053275t_unit). 1.63/1.85 thf(decl_178, type, top_top_set_nat: set_nat). 1.63/1.85 thf(decl_179, type, top_to8920198386146353926on_nat: set_option_nat). 1.63/1.85 thf(decl_180, type, top_to2690860209552263555t_unit: set_op3165557761946182707t_unit). 1.63/1.85 thf(decl_181, type, top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat). 1.63/1.85 thf(decl_182, type, top_to8544742955230171288t_unit: set_Pr4334478416066269672t_unit). 1.63/1.85 thf(decl_183, type, top_to5974110478112770290it_nat: set_Pr1763845938948868674it_nat). 1.63/1.85 thf(decl_184, type, top_to1835807148980544151t_unit: set_Pr5094982260447487303t_unit). 1.63/1.85 thf(decl_185, type, top_to1996260823553986621t_unit: set_Product_unit). 1.63/1.85 thf(decl_186, type, top_top_set_set_nat: set_set_nat). 1.63/1.85 thf(decl_187, type, top_to1767297665138865437t_unit: set_set_Product_unit). 1.63/1.85 thf(decl_188, type, top_to6661820994512907621at_nat: set_Sum_sum_nat_nat). 1.63/1.85 thf(decl_189, type, top_to5465250082899874788t_unit: set_Su7539578257924484756t_unit). 1.63/1.85 thf(decl_190, type, top_to2894617605782473790it_nat: set_Su4968945780807083758it_nat). 1.63/1.85 thf(decl_191, type, top_to2771918933716375115t_unit: set_Su4110612849109743515t_unit). 1.63/1.85 thf(decl_192, type, top_top_set_a: set_a). 1.63/1.85 thf(decl_193, type, top_top_set_b: set_b). 1.63/1.85 thf(decl_194, type, collect_nat: (nat > $o) > set_nat). 1.63/1.85 thf(decl_195, type, collect_Product_unit: (product_unit > $o) > set_Product_unit). 1.63/1.85 thf(decl_196, type, collect_a: (a > $o) > set_a). 1.63/1.85 thf(decl_197, type, collect_b: (b > $o) > set_b). 1.63/1.85 thf(decl_198, type, pow_nat: set_nat > set_set_nat). 1.63/1.85 thf(decl_199, type, pow_Product_unit: set_Product_unit > set_set_Product_unit). 1.63/1.85 thf(decl_200, type, pow_a: set_a > set_set_a). 1.63/1.85 thf(decl_201, type, pow_b: set_b > set_set_b). 1.63/1.85 thf(decl_202, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 1.63/1.85 thf(decl_203, type, image_8730104196221521654t_unit: (nat > product_unit) > set_nat > set_Product_unit). 1.63/1.85 thf(decl_204, type, image_nat_a: (nat > a) > set_nat > set_a). 1.63/1.85 thf(decl_205, type, image_nat_b: (nat > b) > set_nat > set_b). 1.63/1.85 thf(decl_206, type, image_875570014554754200it_nat: (product_unit > nat) > set_Product_unit > set_nat). 1.63/1.85 thf(decl_207, type, image_405062704495631173t_unit: (product_unit > product_unit) > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_208, type, image_Product_unit_a: (product_unit > a) > set_Product_unit > set_a). 1.63/1.85 thf(decl_209, type, image_Product_unit_b: (product_unit > b) > set_Product_unit > set_b). 1.63/1.85 thf(decl_210, type, image_set_a_set_a: (set_a > set_a) > set_set_a > set_set_a). 1.63/1.85 thf(decl_211, type, image_set_a_set_b: (set_a > set_b) > set_set_a > set_set_b). 1.63/1.85 thf(decl_212, type, image_set_b_set_a: (set_b > set_a) > set_set_b > set_set_a). 1.63/1.85 thf(decl_213, type, image_set_b_set_b: (set_b > set_b) > set_set_b > set_set_b). 1.63/1.85 thf(decl_214, type, image_a_nat: (a > nat) > set_a > set_nat). 1.63/1.85 thf(decl_215, type, image_a_a: (a > a) > set_a > set_a). 1.63/1.85 thf(decl_216, type, image_a_b: (a > b) > set_a > set_b). 1.63/1.85 thf(decl_217, type, image_b_nat: (b > nat) > set_b > set_nat). 1.63/1.85 thf(decl_218, type, image_b_a: (b > a) > set_b > set_a). 1.63/1.85 thf(decl_219, type, image_b_b: (b > b) > set_b > set_b). 1.63/1.85 thf(decl_220, type, insert_nat: nat > set_nat > set_nat). 1.63/1.85 thf(decl_221, type, insert_Product_unit: product_unit > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_222, type, insert_set_a: set_a > set_set_a > set_set_a). 1.63/1.85 thf(decl_223, type, insert_set_b: set_b > set_set_b > set_set_b). 1.63/1.85 thf(decl_224, type, insert_a: a > set_a > set_a). 1.63/1.85 thf(decl_225, type, insert_b: b > set_b > set_b). 1.63/1.85 thf(decl_226, type, is_sin2160648248035936513t_unit: set_Product_unit > $o). 1.63/1.85 thf(decl_227, type, is_singleton_a: set_a > $o). 1.63/1.85 thf(decl_228, type, is_singleton_b: set_b > $o). 1.63/1.85 thf(decl_229, type, remove_a: a > set_a > set_a). 1.63/1.85 thf(decl_230, type, remove_b: b > set_b > set_b). 1.63/1.85 thf(decl_231, type, the_elem_a: set_a > a). 1.63/1.85 thf(decl_232, type, the_elem_b: set_b > b). 1.63/1.85 thf(decl_233, type, vimage_nat_nat: (nat > nat) > set_nat > set_nat). 1.63/1.85 thf(decl_234, type, vimage4884490618288580032t_unit: (nat > product_unit) > set_Product_unit > set_nat). 1.63/1.85 thf(decl_235, type, vimage_nat_a: (nat > a) > set_a > set_nat). 1.63/1.85 thf(decl_236, type, vimage_nat_b: (nat > b) > set_b > set_nat). 1.63/1.85 thf(decl_237, type, vimage6253328473476588386it_nat: (product_unit > nat) > set_nat > set_Product_unit). 1.63/1.85 thf(decl_238, type, vimage7995052115951654139t_unit: (product_unit > product_unit) > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_239, type, vimage_a_a: (a > a) > set_a > set_a). 1.63/1.85 thf(decl_240, type, vimage_a_b: (a > b) > set_b > set_a). 1.63/1.85 thf(decl_241, type, vimage_b_a: (b > a) > set_a > set_b). 1.63/1.85 thf(decl_242, type, vimage_b_b: (b > b) > set_b > set_b). 1.63/1.85 thf(decl_243, type, member_nat: nat > set_nat > $o). 1.63/1.85 thf(decl_244, type, member_Product_unit: product_unit > set_Product_unit > $o). 1.63/1.85 thf(decl_245, type, member_set_a: set_a > set_set_a > $o). 1.63/1.85 thf(decl_246, type, member_set_b: set_b > set_set_b > $o). 1.63/1.85 thf(decl_247, type, member_a: a > set_a > $o). 1.63/1.85 thf(decl_248, type, member_b: b > set_b > $o). 1.63/1.85 thf(decl_249, type, a2: set_a). 1.63/1.85 thf(decl_250, type, b2: set_b). 1.63/1.85 thf(decl_251, type, f: a > b). 1.63/1.85 thf(decl_252, type, x: b). 1.63/1.85 thf(decl_253, type, esk1_2: set_a > (a > a) > a). 1.63/1.85 thf(decl_254, type, esk2_2: set_a > (a > a) > a). 1.63/1.85 thf(decl_255, type, esk3_2: set_b > (b > b) > b). 1.63/1.85 thf(decl_256, type, esk4_2: set_b > (b > b) > b). 1.63/1.85 thf(decl_257, type, esk5_2: set_b > (b > a) > b). 1.63/1.85 thf(decl_258, type, esk6_2: set_b > (b > a) > b). 1.63/1.85 thf(decl_259, type, esk7_2: set_nat > (nat > b) > nat). 1.63/1.85 thf(decl_260, type, esk8_2: set_nat > (nat > b) > nat). 1.63/1.85 thf(decl_261, type, esk9_2: set_nat > (nat > a) > nat). 1.63/1.85 thf(decl_262, type, esk10_2: set_nat > (nat > a) > nat). 1.63/1.85 thf(decl_263, type, esk11_2: set_a > (a > b) > a). 1.63/1.85 thf(decl_264, type, esk12_2: set_a > (a > b) > a). 1.63/1.85 thf(decl_265, type, esk13_2: (nat > b) > set_nat > nat). 1.63/1.85 thf(decl_266, type, esk14_2: (nat > b) > set_nat > nat). 1.63/1.85 thf(decl_267, type, esk15_2: (nat > a) > set_nat > nat). 1.63/1.85 thf(decl_268, type, esk16_2: (nat > a) > set_nat > nat). 1.63/1.85 thf(decl_269, type, esk17_2: (b > b) > set_b > b). 1.63/1.85 thf(decl_270, type, esk18_2: (b > b) > set_b > b). 1.63/1.85 thf(decl_271, type, esk19_2: (b > a) > set_b > b). 1.63/1.85 thf(decl_272, type, esk20_2: (b > a) > set_b > b). 1.63/1.85 thf(decl_273, type, esk21_2: (a > a) > set_a > a). 1.63/1.85 thf(decl_274, type, esk22_2: (a > a) > set_a > a). 1.63/1.85 thf(decl_275, type, esk23_2: (a > b) > set_a > a). 1.63/1.85 thf(decl_276, type, esk24_2: (a > b) > set_a > a). 1.63/1.85 thf(decl_277, type, esk25_3: set_a > (a > a) > (a > a) > a). 1.63/1.85 thf(decl_278, type, esk26_3: set_b > (b > b) > (b > b) > b). 1.63/1.85 thf(decl_279, type, esk27_3: set_b > (b > a) > (b > a) > b). 1.63/1.85 thf(decl_280, type, esk28_3: set_nat > (nat > b) > (nat > b) > nat). 1.63/1.85 thf(decl_281, type, esk29_3: set_nat > (nat > a) > (nat > a) > nat). 1.63/1.85 thf(decl_282, type, esk30_3: set_a > (a > b) > (a > b) > a). 1.63/1.85 thf(decl_283, type, esk31_3: (set_b > set_a) > set_set_b > set_set_a > set_a > set_b). 1.63/1.85 thf(decl_284, type, esk32_3: (product_unit > nat) > set_Product_unit > set_nat > nat > product_unit). 1.63/1.85 thf(decl_285, type, esk33_3: (set_a > set_b) > set_set_a > set_set_b > set_b > set_a). 1.63/1.85 thf(decl_286, type, esk34_3: (nat > product_unit) > set_nat > set_Product_unit > product_unit > nat). 1.63/1.85 thf(decl_287, type, esk35_3: (nat > nat) > set_nat > set_nat > nat > nat). 1.63/1.85 thf(decl_288, type, esk36_3: (b > b) > set_b > set_b > b > b). 1.63/1.85 thf(decl_289, type, esk37_3: (a > a) > set_a > set_a > a > a). 1.63/1.85 thf(decl_290, type, esk38_3: (a > b) > set_a > set_b > b > a). 1.63/1.85 thf(decl_291, type, esk39_3: (b > a) > set_b > set_a > a > b). 1.63/1.85 thf(decl_292, type, esk40_4: (set_a > set_b) > set_set_a > set_set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_293, type, esk41_4: (set_a > set_b) > set_set_a > set_set_b > (set_b > $o) > set_a). 1.63/1.85 thf(decl_294, type, esk42_4: (nat > product_unit) > set_nat > set_Product_unit > (product_unit > $o) > product_unit). 1.63/1.85 thf(decl_295, type, esk43_4: (nat > product_unit) > set_nat > set_Product_unit > (product_unit > $o) > nat). 1.63/1.85 thf(decl_296, type, esk44_4: (nat > nat) > set_nat > set_nat > (nat > $o) > nat). 1.63/1.85 thf(decl_297, type, esk45_4: (nat > nat) > set_nat > set_nat > (nat > $o) > nat). 1.63/1.85 thf(decl_298, type, esk46_4: (b > b) > set_b > set_b > (b > $o) > b). 1.63/1.85 thf(decl_299, type, esk47_4: (b > b) > set_b > set_b > (b > $o) > b). 1.63/1.85 thf(decl_300, type, esk48_4: (a > a) > set_a > set_a > (a > $o) > a). 1.63/1.85 thf(decl_301, type, esk49_4: (a > a) > set_a > set_a > (a > $o) > a). 1.63/1.85 thf(decl_302, type, esk50_4: (a > b) > set_a > set_b > (b > $o) > b). 1.63/1.85 thf(decl_303, type, esk51_4: (a > b) > set_a > set_b > (b > $o) > a). 1.63/1.85 thf(decl_304, type, esk52_4: (b > a) > set_b > set_a > (a > $o) > a). 1.63/1.85 thf(decl_305, type, esk53_4: (b > a) > set_b > set_a > (a > $o) > b). 1.63/1.85 thf(decl_306, type, esk54_3: set_set_a > (set_a > set_b) > (set_a > set_b) > set_a). 1.63/1.85 thf(decl_307, type, esk55_3: set_nat > (nat > product_unit) > (nat > product_unit) > nat). 1.63/1.85 thf(decl_308, type, esk56_3: set_nat > (nat > nat) > (nat > nat) > nat). 1.63/1.85 thf(decl_309, type, esk57_3: set_b > (b > b) > (b > b) > b). 1.63/1.85 thf(decl_310, type, esk58_3: set_a > (a > a) > (a > a) > a). 1.63/1.85 thf(decl_311, type, esk59_3: set_a > (a > b) > (a > b) > a). 1.63/1.85 thf(decl_312, type, esk60_3: set_b > (b > a) > (b > a) > b). 1.63/1.85 thf(decl_313, type, esk61_3: set_a > (a > a) > (a > a) > a). 1.63/1.85 thf(decl_314, type, esk62_3: set_b > (b > b) > (b > b) > b). 1.63/1.85 thf(decl_315, type, esk63_3: set_b > (a > b) > (b > a) > b). 1.63/1.85 thf(decl_316, type, esk64_3: set_nat > (b > nat) > (nat > b) > nat). 1.63/1.85 thf(decl_317, type, esk65_3: set_nat > (a > nat) > (nat > a) > nat). 1.63/1.85 thf(decl_318, type, esk66_3: set_a > (b > a) > (a > b) > a). 1.63/1.85 thf(decl_319, type, esk67_3: set_nat > (nat > b) > (nat > nat) > nat). 1.63/1.85 thf(decl_320, type, esk68_3: set_nat > (nat > b) > (nat > nat) > nat). 1.63/1.85 thf(decl_321, type, esk69_3: set_nat > (nat > a) > (nat > nat) > nat). 1.63/1.85 thf(decl_322, type, esk70_3: set_nat > (nat > a) > (nat > nat) > nat). 1.63/1.85 thf(decl_323, type, esk71_3: set_b > (b > b) > (b > b) > b). 1.63/1.85 thf(decl_324, type, esk72_3: set_b > (b > b) > (b > b) > b). 1.63/1.85 thf(decl_325, type, esk73_3: set_b > (b > a) > (b > b) > b). 1.63/1.85 thf(decl_326, type, esk74_3: set_b > (b > a) > (b > b) > b). 1.63/1.85 thf(decl_327, type, esk75_3: set_a > (a > a) > (a > a) > a). 1.63/1.85 thf(decl_328, type, esk76_3: set_a > (a > a) > (a > a) > a). 1.63/1.85 thf(decl_329, type, esk77_3: set_a > (a > b) > (a > a) > a). 1.63/1.85 thf(decl_330, type, esk78_3: set_a > (a > b) > (a > a) > a). 1.63/1.85 thf(decl_331, type, esk79_3: (a > a) > set_a > set_a > a > a). 1.63/1.85 thf(decl_332, type, esk80_4: (a > a) > set_a > set_a > (a > a) > a). 1.63/1.85 thf(decl_333, type, esk81_4: (a > a) > set_a > set_a > (a > a) > a). 1.63/1.85 thf(decl_334, type, esk82_3: (b > b) > set_b > set_b > b > b). 1.63/1.85 thf(decl_335, type, esk83_4: (b > b) > set_b > set_b > (b > b) > b). 1.63/1.85 thf(decl_336, type, esk84_4: (b > b) > set_b > set_b > (b > b) > b). 1.63/1.85 thf(decl_337, type, esk85_3: (a > b) > set_a > set_b > b > a). 1.63/1.85 thf(decl_338, type, esk86_4: (a > b) > set_a > set_b > (b > a) > a). 1.63/1.85 thf(decl_339, type, esk87_4: (a > b) > set_a > set_b > (b > a) > b). 1.63/1.85 thf(decl_340, type, esk88_3: (b > a) > set_b > set_a > a > b). 1.63/1.85 thf(decl_341, type, esk89_4: (b > a) > set_b > set_a > (a > b) > b). 1.63/1.85 thf(decl_342, type, esk90_4: (b > a) > set_b > set_a > (a > b) > a). 1.63/1.85 thf(decl_343, type, esk91_2: set_a > (a > a) > a). 1.63/1.85 thf(decl_344, type, esk92_2: set_a > (a > a) > a). 1.63/1.85 thf(decl_345, type, esk93_3: set_a > (a > a) > set_a > a). 1.63/1.85 thf(decl_346, type, esk94_3: set_a > (a > a) > set_a > a). 1.63/1.85 thf(decl_347, type, esk95_2: set_b > (b > b) > b). 1.63/1.85 thf(decl_348, type, esk96_2: set_b > (b > b) > b). 1.63/1.85 thf(decl_349, type, esk97_3: set_b > (b > b) > set_b > b). 1.63/1.85 thf(decl_350, type, esk98_3: set_b > (b > b) > set_b > b). 1.63/1.85 thf(decl_351, type, esk99_2: set_a > (a > b) > a). 1.63/1.85 thf(decl_352, type, esk100_2: set_a > (a > b) > a). 1.63/1.85 thf(decl_353, type, esk101_3: set_a > (a > b) > set_b > a). 1.63/1.85 thf(decl_354, type, esk102_3: set_a > (a > b) > set_b > b). 1.63/1.85 thf(decl_355, type, esk103_2: set_b > (b > a) > b). 1.63/1.85 thf(decl_356, type, esk104_2: set_b > (b > a) > b). 1.63/1.85 thf(decl_357, type, esk105_3: set_b > (b > a) > set_a > b). 1.63/1.85 thf(decl_358, type, esk106_3: set_b > (b > a) > set_a > a). 1.63/1.85 thf(decl_359, type, esk107_4: set_a > set_a > (a > b) > (a > b) > a). 1.63/1.85 thf(decl_360, type, esk108_4: set_b > set_b > (b > a) > (b > a) > b). 1.63/1.85 thf(decl_361, type, esk109_4: set_a > set_a > (a > b) > (a > b) > a). 1.63/1.85 thf(decl_362, type, esk110_4: set_b > set_b > (b > a) > (b > a) > b). 1.63/1.85 thf(decl_363, type, esk111_3: a > (b > a) > set_b > b). 1.63/1.85 thf(decl_364, type, esk112_3: b > (a > b) > set_a > a). 1.63/1.85 thf(decl_365, type, esk113_3: (b > a) > set_b > (a > $o) > b). 1.63/1.85 thf(decl_366, type, esk114_3: (a > b) > set_a > (b > $o) > a). 1.63/1.85 thf(decl_367, type, esk115_4: set_a > set_a > (a > b) > (a > b) > a). 1.63/1.85 thf(decl_368, type, esk116_4: set_b > set_b > (b > a) > (b > a) > b). 1.63/1.85 thf(decl_369, type, esk117_3: (b > a) > set_b > (a > $o) > a). 1.63/1.85 thf(decl_370, type, esk118_3: (a > b) > set_a > (b > $o) > b). 1.63/1.85 thf(decl_371, type, esk119_2: set_a > set_a > a). 1.63/1.85 thf(decl_372, type, esk120_2: set_b > set_b > b). 1.63/1.85 thf(decl_373, type, esk121_0: a). 1.63/1.85 thf(decl_374, type, esk122_0: b). 1.63/1.85 thf(decl_375, type, esk123_0: nat). 1.63/1.85 thf(decl_376, type, esk124_0: product_unit). 1.63/1.85 thf(decl_377, type, esk125_2: set_a > set_a > a). 1.63/1.85 thf(decl_378, type, esk126_2: set_b > set_b > b). 1.63/1.85 thf(decl_379, type, esk127_2: set_a > set_a > a). 1.63/1.85 thf(decl_380, type, esk128_2: set_b > set_b > b). 1.63/1.85 thf(decl_381, type, esk129_1: set_a > a). 1.63/1.85 thf(decl_382, type, esk130_1: set_b > b). 1.63/1.85 thf(decl_383, type, esk131_1: set_nat > nat). 1.63/1.85 thf(decl_384, type, esk132_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_385, type, esk133_3: set_a > (b > a) > set_b > set_b). 1.63/1.85 thf(decl_386, type, esk134_3: set_b > (a > b) > set_a > set_a). 1.63/1.85 thf(decl_387, type, esk135_3: (b > a) > set_b > set_a > b). 1.63/1.85 thf(decl_388, type, esk136_3: (a > b) > set_a > set_b > a). 1.63/1.85 thf(decl_389, type, esk137_3: set_a > (b > a) > set_b > set_b). 1.63/1.85 thf(decl_390, type, esk138_3: set_b > (a > b) > set_a > set_a). 1.63/1.85 thf(decl_391, type, esk139_3: set_a > (a > a) > set_a > a). 1.63/1.85 thf(decl_392, type, esk140_3: set_a > (a > b) > set_b > a). 1.63/1.85 thf(decl_393, type, esk141_3: set_b > (b > a) > set_a > b). 1.63/1.85 thf(decl_394, type, esk142_3: set_b > (b > b) > set_b > b). 1.63/1.85 thf(decl_395, type, esk143_2: (b > a) > a > b). 1.63/1.85 thf(decl_396, type, esk144_1: (b > a) > a). 1.63/1.85 thf(decl_397, type, esk145_2: (a > b) > b > a). 1.63/1.85 thf(decl_398, type, esk146_1: (a > b) > b). 1.63/1.85 thf(decl_399, type, esk147_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_400, type, esk148_1: (nat > nat) > nat). 1.63/1.85 thf(decl_401, type, esk149_2: (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_402, type, esk150_1: (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_403, type, esk151_2: (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_404, type, esk152_1: (product_unit > nat) > nat). 1.63/1.85 thf(decl_405, type, esk153_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_406, type, esk154_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_407, type, esk155_2: (b > a) > (a > b) > a). 1.63/1.85 thf(decl_408, type, esk156_2: (a > b) > (b > a) > b). 1.63/1.85 thf(decl_409, type, esk157_2: (nat > nat) > (nat > nat) > nat). 1.63/1.85 thf(decl_410, type, esk158_2: (nat > product_unit) > (product_unit > nat) > product_unit). 1.63/1.85 thf(decl_411, type, esk159_2: (product_unit > nat) > (nat > product_unit) > nat). 1.63/1.85 thf(decl_412, type, esk160_2: (product_unit > product_unit) > (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_413, type, esk161_2: (b > a) > a > b). 1.63/1.85 thf(decl_414, type, esk162_2: (a > b) > b > a). 1.63/1.85 thf(decl_415, type, esk163_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_416, type, esk164_2: (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_417, type, esk165_2: (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_418, type, esk166_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_419, type, esk167_2: (b > a) > a > b). 1.63/1.85 thf(decl_420, type, esk168_2: (a > b) > b > a). 1.63/1.85 thf(decl_421, type, esk169_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_422, type, esk170_2: (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_423, type, esk171_2: (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_424, type, esk172_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_425, type, esk173_1: (a > b) > a). 1.63/1.85 thf(decl_426, type, esk174_1: (a > b) > a). 1.63/1.85 thf(decl_427, type, esk175_1: (a > b) > a). 1.63/1.85 thf(decl_428, type, esk176_1: (a > b) > a). 1.63/1.85 thf(decl_429, type, esk177_1: (nat > nat) > nat). 1.63/1.85 thf(decl_430, type, esk178_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_431, type, esk179_2: (a > b) > b > a). 1.63/1.85 thf(decl_432, type, esk180_2: (b > a) > a > b). 1.63/1.85 thf(decl_433, type, esk181_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_434, type, esk182_2: (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_435, type, esk183_2: (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_436, type, esk184_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_437, type, esk185_2: (a > b) > b > a). 1.63/1.85 thf(decl_438, type, esk186_1: (a > b) > b). 1.63/1.85 thf(decl_439, type, esk187_2: (a > b) > a > a). 1.63/1.85 thf(decl_440, type, esk188_2: (b > a) > a > b). 1.63/1.85 thf(decl_441, type, esk189_1: (b > a) > a). 1.63/1.85 thf(decl_442, type, esk190_2: (b > a) > b > b). 1.63/1.85 thf(decl_443, type, esk191_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_444, type, esk192_1: (nat > nat) > nat). 1.63/1.85 thf(decl_445, type, esk193_2: (nat > nat) > nat > nat). 1.63/1.85 thf(decl_446, type, esk194_2: (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_447, type, esk195_1: (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_448, type, esk196_2: (nat > product_unit) > nat > nat). 1.63/1.85 thf(decl_449, type, esk197_2: (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_450, type, esk198_1: (product_unit > nat) > nat). 1.63/1.85 thf(decl_451, type, esk199_2: (product_unit > nat) > product_unit > product_unit). 1.63/1.85 thf(decl_452, type, esk200_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_453, type, esk201_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_454, type, esk202_2: (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_455, type, esk203_3: set_a > (b > a) > (a > b) > a). 1.63/1.85 thf(decl_456, type, esk204_4: set_a > (b > a) > (a > b) > set_b > b). 1.63/1.85 thf(decl_457, type, esk205_3: set_b > (a > b) > (b > a) > b). 1.63/1.85 thf(decl_458, type, esk206_4: set_b > (a > b) > (b > a) > set_a > a). 1.63/1.85 thf(decl_459, type, esk207_2: (b > a) > a > b). 1.63/1.85 thf(decl_460, type, esk208_3: (b > a) > a > b > b). 1.63/1.85 thf(decl_461, type, esk209_2: (a > b) > b > a). 1.63/1.85 thf(decl_462, type, esk210_3: (a > b) > b > a > a). 1.63/1.85 thf(decl_463, type, esk211_2: (nat > a) > a > nat). 1.63/1.85 thf(decl_464, type, esk212_3: (nat > a) > a > nat > nat). 1.63/1.85 thf(decl_465, type, esk213_2: (nat > b) > b > nat). 1.63/1.85 thf(decl_466, type, esk214_3: (nat > b) > b > nat > nat). 1.63/1.85 thf(decl_467, type, esk215_2: (product_unit > a) > a > product_unit). 1.63/1.85 thf(decl_468, type, esk216_3: (product_unit > a) > a > product_unit > product_unit). 1.63/1.85 thf(decl_469, type, esk217_2: (product_unit > b) > b > product_unit). 1.63/1.85 thf(decl_470, type, esk218_3: (product_unit > b) > b > product_unit > product_unit). 1.63/1.85 thf(decl_471, type, esk219_4: (a > b) > set_a > set_b > (b > a) > a > b). 1.63/1.85 thf(decl_472, type, esk220_4: (b > a) > set_b > set_a > (a > b) > b > a). 1.63/1.85 thf(decl_473, type, esk221_3: set_a > (b > a) > set_b > set_b). 1.63/1.85 thf(decl_474, type, esk222_3: set_b > (a > b) > set_a > set_a). 1.63/1.85 thf(decl_475, type, esk223_1: (a > b) > a). 1.63/1.85 thf(decl_476, type, esk224_1: (a > b) > a). 1.63/1.85 thf(decl_477, type, esk225_1: (a > b) > b). 1.63/1.85 thf(decl_478, type, esk226_1: (b > a) > b). 1.63/1.85 thf(decl_479, type, esk227_1: (b > a) > b). 1.63/1.85 thf(decl_480, type, esk228_1: (b > a) > a). 1.63/1.85 thf(decl_481, type, esk229_1: (nat > nat) > nat). 1.63/1.85 thf(decl_482, type, esk230_1: (nat > nat) > nat). 1.63/1.85 thf(decl_483, type, esk231_1: (nat > nat) > nat). 1.63/1.85 thf(decl_484, type, esk232_1: (nat > product_unit) > nat). 1.63/1.85 thf(decl_485, type, esk233_1: (nat > product_unit) > nat). 1.63/1.85 thf(decl_486, type, esk234_1: (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_487, type, esk235_1: (product_unit > nat) > product_unit). 1.63/1.85 thf(decl_488, type, esk236_1: (product_unit > nat) > product_unit). 1.63/1.85 thf(decl_489, type, esk237_1: (product_unit > nat) > nat). 1.63/1.85 thf(decl_490, type, esk238_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_491, type, esk239_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_492, type, esk240_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_493, type, esk241_3: (b > a) > set_b > (set_a > $o) > set_a). 1.63/1.85 thf(decl_494, type, esk242_3: (b > a) > set_b > (set_a > $o) > set_b). 1.63/1.85 thf(decl_495, type, esk243_3: (a > b) > set_a > (set_b > $o) > set_b). 1.63/1.85 thf(decl_496, type, esk244_3: (a > b) > set_a > (set_b > $o) > set_a). 1.63/1.85 thf(decl_497, type, esk245_2: set_b > set_a > a > b). 1.63/1.85 thf(decl_498, type, esk246_2: set_b > set_a > b > a). 1.63/1.85 thf(decl_499, type, esk247_2: set_a > set_b > b > a). 1.63/1.85 thf(decl_500, type, esk248_2: set_a > set_b > a > b). 1.63/1.85 thf(decl_501, type, esk249_1: set_a > a). 1.63/1.85 thf(decl_502, type, esk250_1: set_b > b). 1.63/1.85 thf(decl_503, type, esk251_1: set_a > a). 1.63/1.85 thf(decl_504, type, esk252_1: set_b > b). 1.63/1.85 thf(decl_505, type, esk253_1: set_a > a). 1.63/1.85 thf(decl_506, type, esk254_1: set_b > b). 1.63/1.85 thf(decl_507, type, esk255_1: set_a > a). 1.63/1.85 thf(decl_508, type, esk256_1: set_b > b). 1.63/1.85 thf(decl_509, type, esk257_1: (b > a) > a). 1.63/1.85 thf(decl_510, type, esk258_1: (a > b) > b). 1.63/1.85 thf(decl_511, type, esk259_1: (nat > nat) > nat). 1.63/1.85 thf(decl_512, type, esk260_1: (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_513, type, esk261_1: (product_unit > nat) > nat). 1.63/1.85 thf(decl_514, type, esk262_1: (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_515, type, esk263_2: (b > a) > (a > b) > b). 1.63/1.85 thf(decl_516, type, esk264_2: (a > b) > (b > a) > a). 1.63/1.85 thf(decl_517, type, esk265_2: (nat > nat) > (nat > nat) > nat). 1.63/1.85 thf(decl_518, type, esk266_2: (nat > product_unit) > (product_unit > nat) > nat). 1.63/1.85 thf(decl_519, type, esk267_2: (product_unit > nat) > (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_520, type, esk268_2: (product_unit > product_unit) > (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_521, type, esk269_2: (a > b) > (b > a) > b). 1.63/1.85 thf(decl_522, type, esk270_2: (b > a) > (b > $o) > a). 1.63/1.85 thf(decl_523, type, esk271_2: (a > b) > (a > $o) > b). 1.63/1.85 thf(decl_524, type, esk272_2: (nat > a) > (nat > $o) > a). 1.63/1.85 thf(decl_525, type, esk273_2: (nat > b) > (nat > $o) > b). 1.63/1.85 thf(decl_526, type, esk274_2: (product_unit > a) > (product_unit > $o) > a). 1.63/1.85 thf(decl_527, type, esk275_2: (product_unit > b) > (product_unit > $o) > b). 1.63/1.85 thf(decl_528, type, esk276_3: set_a > (a > b) > a > a). 1.63/1.85 thf(decl_529, type, esk277_3: set_b > (b > a) > b > b). 1.63/1.85 thf(decl_530, type, esk278_2: set_nat > nat > nat). 1.63/1.85 thf(decl_531, type, esk279_2: set_nat > nat > nat). 1.63/1.85 thf(decl_532, type, esk280_1: set_a > a). 1.63/1.85 thf(decl_533, type, esk281_1: set_b > b). 1.63/1.85 thf(decl_534, type, esk282_1: set_nat > nat). 1.63/1.85 thf(decl_535, type, esk283_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_536, type, esk284_1: set_nat > nat > nat). 1.63/1.85 thf(decl_537, type, esk285_1: set_nat > nat > nat). 1.63/1.85 thf(decl_538, type, esk286_1: set_nat > nat). 1.63/1.85 thf(decl_539, type, esk287_1: set_nat > nat). 1.63/1.85 thf(decl_540, type, esk288_3: (b > a) > set_b > (set_a > $o) > set_a). 1.63/1.85 thf(decl_541, type, esk289_3: (b > a) > set_b > (set_a > $o) > set_b). 1.63/1.85 thf(decl_542, type, esk290_3: (a > b) > set_a > (set_b > $o) > set_b). 1.63/1.85 thf(decl_543, type, esk291_3: (a > b) > set_a > (set_b > $o) > set_a). 1.63/1.85 thf(decl_544, type, esk292_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_545, type, esk293_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_546, type, esk294_3: (b > a) > set_b > (set_a > $o) > set_b). 1.63/1.85 thf(decl_547, type, esk295_3: (b > a) > set_b > (set_a > $o) > set_a). 1.63/1.85 thf(decl_548, type, esk296_3: (a > b) > set_a > (set_b > $o) > set_a). 1.63/1.85 thf(decl_549, type, esk297_3: (a > b) > set_a > (set_b > $o) > set_b). 1.63/1.85 thf(decl_550, type, esk298_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_551, type, esk299_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_552, type, esk300_3: set_a > (b > a) > set_b > set_b). 1.63/1.85 thf(decl_553, type, esk301_3: set_b > (a > b) > set_a > set_a). 1.63/1.85 thf(decl_554, type, esk302_3: set_nat > (nat > nat) > set_nat > set_nat). 1.63/1.85 thf(decl_555, type, esk303_2: set_Product_unit > nat > set_Product_unit). 1.63/1.85 thf(decl_556, type, esk304_2: set_nat > nat > set_nat). 1.63/1.85 thf(decl_557, type, esk305_2: set_Product_unit > nat > set_Product_unit). 1.63/1.85 thf(decl_558, type, esk306_2: set_nat > nat > set_nat). 1.63/1.85 thf(decl_559, type, esk307_2: nat > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_560, type, esk308_2: nat > set_nat > set_nat). 1.63/1.85 thf(decl_561, type, esk309_3: set_Product_unit > nat > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_562, type, esk310_3: set_nat > nat > set_nat > set_nat). 1.63/1.85 thf(decl_563, type, esk311_2: set_b > set_a > b > a). 1.63/1.85 thf(decl_564, type, esk312_2: set_a > set_b > a > b). 1.63/1.85 thf(decl_565, type, esk313_2: set_Product_unit > set_Product_unit > product_unit > product_unit). 1.63/1.85 thf(decl_566, type, esk314_2: set_Product_unit > set_nat > product_unit > nat). 1.63/1.85 thf(decl_567, type, esk315_2: set_nat > set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_568, type, esk316_2: set_nat > set_nat > nat > nat). 1.63/1.85 thf(decl_569, type, esk317_2: set_b > set_a > b > a). 1.63/1.85 thf(decl_570, type, esk318_2: set_a > set_b > a > b). 1.63/1.85 thf(decl_571, type, esk319_2: set_Product_unit > set_Product_unit > product_unit > product_unit). 1.63/1.85 thf(decl_572, type, esk320_2: set_Product_unit > set_nat > product_unit > nat). 1.63/1.85 thf(decl_573, type, esk321_2: set_nat > set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_574, type, esk322_2: set_nat > set_nat > nat > nat). 1.63/1.85 thf(decl_575, type, esk323_3: set_b > set_a > (b > a) > a). 1.63/1.85 thf(decl_576, type, esk324_4: set_b > set_a > (b > a) > a > b). 1.63/1.85 thf(decl_577, type, esk325_3: set_a > set_b > (a > b) > b). 1.63/1.85 thf(decl_578, type, esk326_4: set_a > set_b > (a > b) > b > a). 1.63/1.85 thf(decl_579, type, esk327_3: set_Product_unit > set_Product_unit > (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_580, type, esk328_4: set_Product_unit > set_Product_unit > (product_unit > product_unit) > product_unit > product_unit). 1.63/1.85 thf(decl_581, type, esk329_3: set_Product_unit > set_nat > (product_unit > nat) > nat). 1.63/1.85 thf(decl_582, type, esk330_4: set_Product_unit > set_nat > (product_unit > nat) > nat > product_unit). 1.63/1.85 thf(decl_583, type, esk331_3: set_nat > set_Product_unit > (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_584, type, esk332_4: set_nat > set_Product_unit > (nat > product_unit) > product_unit > nat). 1.63/1.85 thf(decl_585, type, esk333_3: set_nat > set_nat > (nat > nat) > nat). 1.63/1.85 thf(decl_586, type, esk334_4: set_nat > set_nat > (nat > nat) > nat > nat). 1.63/1.85 thf(decl_587, type, esk335_2: set_a > set_b > a > b). 1.63/1.85 thf(decl_588, type, esk336_2: set_b > set_a > b > a). 1.63/1.85 thf(decl_589, type, esk337_2: set_Product_unit > set_Product_unit > product_unit > product_unit). 1.63/1.85 thf(decl_590, type, esk338_2: set_Product_unit > set_nat > product_unit > nat). 1.63/1.85 thf(decl_591, type, esk339_2: set_nat > set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_592, type, esk340_2: set_nat > set_nat > nat > nat). 1.63/1.85 thf(decl_593, type, esk341_2: set_a > set_b > a > b). 1.63/1.85 thf(decl_594, type, esk342_2: set_b > set_a > b > a). 1.63/1.85 thf(decl_595, type, esk343_2: set_Product_unit > set_Product_unit > product_unit > product_unit). 1.63/1.85 thf(decl_596, type, esk344_2: set_Product_unit > set_nat > product_unit > nat). 1.63/1.85 thf(decl_597, type, esk345_2: set_nat > set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_598, type, esk346_2: set_nat > set_nat > nat > nat). 1.63/1.85 thf(decl_599, type, esk347_2: (b > a) > set_b > a). 1.63/1.85 thf(decl_600, type, esk348_2: (a > b) > set_a > b). 1.63/1.85 thf(decl_601, type, esk349_2: (nat > nat) > set_nat > nat). 1.63/1.85 thf(decl_602, type, esk350_2: a > set_a > set_a). 1.63/1.85 thf(decl_603, type, esk351_2: b > set_b > set_b). 1.63/1.85 thf(decl_604, type, esk352_4: a > set_a > a > set_a > set_a). 1.63/1.85 thf(decl_605, type, esk353_4: b > set_b > b > set_b > set_b). 1.63/1.85 thf(decl_606, type, esk354_2: a > set_a > set_a). 1.63/1.85 thf(decl_607, type, esk355_2: b > set_b > set_b). 1.63/1.85 thf(decl_608, type, esk356_2: set_a > set_a > a). 1.63/1.85 thf(decl_609, type, esk357_2: set_b > set_b > b). 1.63/1.85 thf(decl_610, type, esk358_2: set_a > set_a > a). 1.63/1.85 thf(decl_611, type, esk359_2: set_b > set_b > b). 1.63/1.85 thf(decl_612, type, esk360_4: set_a > set_a > (a > $o) > (a > $o) > a). 1.63/1.85 thf(decl_613, type, esk361_4: set_b > set_b > (b > $o) > (b > $o) > b). 1.63/1.85 thf(decl_614, type, esk362_3: set_a > (nat > a) > set_nat > a). 1.63/1.85 thf(decl_615, type, esk363_3: set_b > (nat > b) > set_nat > b). 1.63/1.85 thf(decl_616, type, esk364_3: set_nat > (nat > nat) > set_nat > nat). 1.63/1.85 thf(decl_617, type, esk365_2: (b > a) > set_b > a). 1.63/1.85 thf(decl_618, type, esk366_2: (a > b) > set_a > b). 1.63/1.85 thf(decl_619, type, esk367_2: (nat > a) > set_nat > a). 1.63/1.85 thf(decl_620, type, esk368_2: (nat > b) > set_nat > b). 1.63/1.85 thf(decl_621, type, esk369_2: (nat > nat) > set_nat > nat). 1.63/1.85 thf(decl_622, type, esk370_2: (b > a) > set_b > a). 1.63/1.85 thf(decl_623, type, esk371_2: (a > b) > set_a > b). 1.63/1.85 thf(decl_624, type, esk372_2: (nat > nat) > set_nat > nat). 1.63/1.85 thf(decl_625, type, esk373_1: (set_a > $o) > set_a). 1.63/1.85 thf(decl_626, type, esk374_1: (set_a > $o) > a). 1.63/1.85 thf(decl_627, type, esk375_1: (set_a > $o) > set_a). 1.63/1.85 thf(decl_628, type, esk376_1: (set_b > $o) > set_b). 1.63/1.85 thf(decl_629, type, esk377_1: (set_b > $o) > b). 1.63/1.85 thf(decl_630, type, esk378_1: (set_b > $o) > set_b). 1.63/1.85 thf(decl_631, type, esk379_1: (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_632, type, esk380_1: (set_nat > $o) > nat). 1.63/1.85 thf(decl_633, type, esk381_1: (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_634, type, esk382_2: set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_635, type, esk383_2: set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_636, type, esk384_2: set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_637, type, esk385_2: set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_638, type, esk386_2: set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_639, type, esk387_2: set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_640, type, esk388_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_641, type, esk389_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_642, type, esk390_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_643, type, esk391_2: set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_644, type, esk392_2: set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_645, type, esk393_2: set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_646, type, esk394_2: set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_647, type, esk395_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_648, type, esk396_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_649, type, esk397_1: set_nat > set_nat). 1.63/1.85 thf(decl_650, type, esk398_1: set_nat > nat). 1.63/1.85 thf(decl_651, type, esk399_1: set_nat > set_nat). 1.63/1.85 thf(decl_652, type, esk400_1: set_nat > nat). 1.63/1.85 thf(decl_653, type, esk401_4: (a > a) > set_a > a > set_a > a). 1.63/1.85 thf(decl_654, type, esk402_4: (a > a) > set_a > a > set_a > set_a). 1.63/1.85 thf(decl_655, type, esk403_4: (b > a) > set_b > a > set_a > b). 1.63/1.85 thf(decl_656, type, esk404_4: (b > a) > set_b > a > set_a > set_b). 1.63/1.85 thf(decl_657, type, esk405_4: (a > b) > set_a > b > set_b > a). 1.63/1.85 thf(decl_658, type, esk406_4: (a > b) > set_a > b > set_b > set_a). 1.63/1.85 thf(decl_659, type, esk407_4: (b > b) > set_b > b > set_b > b). 1.63/1.85 thf(decl_660, type, esk408_4: (b > b) > set_b > b > set_b > set_b). 1.63/1.85 thf(decl_661, type, esk409_3: set_a > set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_662, type, esk410_3: set_a > set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_663, type, esk411_3: set_b > set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_664, type, esk412_3: set_b > set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_665, type, esk413_3: set_nat > set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_666, type, esk414_3: set_nat > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_667, type, esk415_3: set_a > set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_668, type, esk416_3: set_a > set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_669, type, esk417_3: set_b > set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_670, type, esk418_3: set_b > set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_671, type, esk419_3: set_nat > set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_672, type, esk420_3: set_nat > set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_673, type, esk421_2: (b > a) > set_b > a). 1.63/1.85 thf(decl_674, type, esk422_2: (a > b) > set_a > b). 1.63/1.85 thf(decl_675, type, esk423_2: (nat > a) > set_nat > a). 1.63/1.85 thf(decl_676, type, esk424_2: (nat > b) > set_nat > b). 1.63/1.85 thf(decl_677, type, esk425_2: (nat > nat) > set_nat > nat). 1.63/1.85 thf(decl_678, type, esk426_1: set_nat > nat). 1.63/1.85 thf(decl_679, type, esk427_1: set_nat > nat). 1.63/1.85 thf(decl_680, type, esk428_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_681, type, esk429_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_682, type, esk430_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_683, type, esk431_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_684, type, esk432_1: set_a > a). 1.63/1.85 thf(decl_685, type, esk433_1: set_a > a). 1.63/1.85 thf(decl_686, type, esk434_1: set_b > b). 1.63/1.85 thf(decl_687, type, esk435_1: set_b > b). 1.63/1.85 thf(decl_688, type, esk436_2: set_a > nat > a). 1.63/1.85 thf(decl_689, type, esk437_2: set_a > nat > set_a). 1.63/1.85 thf(decl_690, type, esk438_2: set_b > nat > b). 1.63/1.85 thf(decl_691, type, esk439_2: set_b > nat > set_b). 1.63/1.85 thf(decl_692, type, esk440_2: set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_693, type, esk441_2: set_Product_unit > nat > set_Product_unit). 1.63/1.85 thf(decl_694, type, esk442_2: set_nat > nat > nat). 1.63/1.85 thf(decl_695, type, esk443_2: set_nat > nat > set_nat). 1.63/1.85 thf(decl_696, type, esk444_2: set_a > nat > a). 1.63/1.85 thf(decl_697, type, esk445_2: set_a > nat > set_a). 1.63/1.85 thf(decl_698, type, esk446_2: set_b > nat > b). 1.63/1.85 thf(decl_699, type, esk447_2: set_b > nat > set_b). 1.63/1.85 thf(decl_700, type, esk448_2: set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_701, type, esk449_2: set_Product_unit > nat > set_Product_unit). 1.63/1.85 thf(decl_702, type, esk450_2: set_a > nat > a). 1.63/1.85 thf(decl_703, type, esk451_2: set_a > nat > set_a). 1.63/1.85 thf(decl_704, type, esk452_2: set_b > nat > b). 1.63/1.85 thf(decl_705, type, esk453_2: set_b > nat > set_b). 1.63/1.85 thf(decl_706, type, esk454_2: set_Product_unit > nat > product_unit). 1.63/1.85 thf(decl_707, type, esk455_2: set_Product_unit > nat > set_Product_unit). 1.63/1.85 thf(decl_708, type, esk456_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_709, type, esk457_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_710, type, esk458_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_711, type, esk459_1: set_nat > nat). 1.63/1.85 thf(decl_712, type, esk460_1: set_nat > nat). 1.63/1.85 thf(decl_713, type, esk461_2: nat > set_a > a). 1.63/1.85 thf(decl_714, type, esk462_2: nat > set_a > set_a). 1.63/1.85 thf(decl_715, type, esk463_2: nat > set_b > b). 1.63/1.85 thf(decl_716, type, esk464_2: nat > set_b > set_b). 1.63/1.85 thf(decl_717, type, esk465_2: nat > set_Product_unit > product_unit). 1.63/1.85 thf(decl_718, type, esk466_2: nat > set_Product_unit > set_Product_unit). 1.63/1.85 thf(decl_719, type, esk467_2: nat > set_nat > nat). 1.63/1.85 thf(decl_720, type, esk468_2: nat > set_nat > set_nat). 1.63/1.85 thf(decl_721, type, esk469_1: (nat > nat) > nat). 1.63/1.85 thf(decl_722, type, esk470_1: (nat > nat) > nat). 1.63/1.85 thf(decl_723, type, esk471_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_724, type, esk472_2: (nat > nat) > (nat > nat) > nat). 1.63/1.85 thf(decl_725, type, esk473_2: (nat > product_unit) > (product_unit > nat) > nat). 1.63/1.85 thf(decl_726, type, esk474_2: (product_unit > nat) > (nat > product_unit) > product_unit). 1.63/1.85 thf(decl_727, type, esk475_2: (product_unit > product_unit) > (product_unit > product_unit) > product_unit). 1.63/1.85 thf(decl_728, type, esk476_2: set_nat > nat > nat). 1.63/1.85 thf(decl_729, type, esk477_2: set_nat > nat > nat). 1.63/1.85 thf(decl_730, type, esk478_2: set_nat > nat > nat). 1.63/1.85 thf(decl_731, type, esk479_2: set_nat > nat > nat). 1.63/1.85 thf(decl_732, type, esk480_2: set_nat > nat > nat). 1.63/1.85 thf(decl_733, type, esk481_2: set_nat > set_nat > nat). 1.63/1.85 thf(decl_734, type, esk482_2: set_nat > set_nat > nat). 1.63/1.85 thf(decl_735, type, esk483_2: set_nat > nat > nat). 1.63/1.85 thf(decl_736, type, esk484_2: set_nat > nat > nat). 1.63/1.85 thf(decl_737, type, esk485_2: set_nat > nat > nat). 1.63/1.85 thf(decl_738, type, esk486_2: set_nat > nat > nat). 1.63/1.85 thf(decl_739, type, esk487_2: set_nat > nat > nat). 1.63/1.85 thf(decl_740, type, esk488_2: set_nat > nat > nat). 1.63/1.85 thf(decl_741, type, esk489_2: set_nat > nat > nat). 1.63/1.85 thf(decl_742, type, esk490_2: set_nat > nat > nat). 1.63/1.85 thf(decl_743, type, esk491_2: set_nat > nat > nat). 1.63/1.85 thf(decl_744, type, esk492_2: set_nat > nat > nat). 1.63/1.85 thf(decl_745, type, esk493_2: set_nat > nat > nat). 1.63/1.85 thf(decl_746, type, esk494_2: set_nat > nat > nat). 1.63/1.85 thf(decl_747, type, esk495_2: set_nat > nat > nat). 1.63/1.85 thf(decl_748, type, esk496_2: set_a > set_a > a). 1.63/1.85 thf(decl_749, type, esk497_2: set_b > set_b > b). 1.63/1.85 thf(decl_750, type, esk498_2: (set_nat > $o) > set_nat > set_nat). 1.63/1.85 thf(decl_751, type, esk499_2: set_a > (set_a > $o) > a). 1.63/1.85 thf(decl_752, type, esk500_2: set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_753, type, esk501_2: set_b > (set_b > $o) > b). 1.63/1.85 thf(decl_754, type, esk502_2: set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_755, type, esk503_2: set_nat > (set_nat > $o) > nat). 1.63/1.85 thf(decl_756, type, esk504_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_757, type, esk505_2: set_set_a > a > set_a). 1.63/1.85 thf(decl_758, type, esk506_2: set_set_b > b > set_b). 1.63/1.85 thf(decl_759, type, esk507_2: set_nat > nat > nat). 1.63/1.85 thf(decl_760, type, esk508_2: set_nat > nat > nat). 1.63/1.85 thf(decl_761, type, esk509_2: set_a > (set_a > $o) > set_a). 1.63/1.85 thf(decl_762, type, esk510_2: set_b > (set_b > $o) > set_b). 1.63/1.85 thf(decl_763, type, esk511_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_764, type, esk512_2: (set_a > $o) > set_a > set_a). 1.63/1.85 thf(decl_765, type, esk513_2: (set_b > $o) > set_b > set_b). 1.63/1.85 thf(decl_766, type, esk514_2: (set_nat > $o) > set_nat > set_nat). 1.63/1.85 thf(decl_767, type, esk515_2: set_nat > (set_nat > $o) > set_nat). 1.63/1.85 thf(decl_768, type, esk516_2: set_nat > nat > nat > nat). 1.63/1.85 thf(decl_769, type, esk517_1: (nat > nat) > nat). 1.63/1.85 thf(decl_770, type, esk518_1: (nat > nat) > nat). 1.63/1.85 thf(decl_771, type, esk519_1: set_nat > nat). 1.63/1.85 thf(decl_772, type, esk520_1: set_nat > nat). 1.63/1.85 thf(decl_773, type, esk521_1: set_Product_unit > product_unit). 1.63/1.85 thf(decl_774, type, esk522_0: a). 1.63/1.85 thf(decl_775, type, epred1_1: set_a > a > $o). 1.63/1.85 thf(decl_776, type, epred2_1: set_b > b > $o). 1.63/1.85 thf(fact_77_bij__betw__def, axiom, ((bij_betw_a_b)=(^[X216:a > b, X217:set_a, X201:set_b]:(((inj_on_a_b @ X216 @ X217)&((image_a_b @ X216 @ X217)=(X201)))))), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', fact_77_bij__betw__def)). 1.63/1.85 thf(conj_0, conjecture, ((member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2)&![X118:a]:((((member_a @ X118 @ a2)&((the_inv_into_a_b @ a2 @ f @ x)=(X118)))=>((X118)=(the_inv_into_a_b @ a2 @ f @ x))))), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', conj_0)). 1.63/1.85 thf(fact_38_the__inv__into__onto, axiom, ![X96:a > b, X97:set_a]:(((inj_on_a_b @ X96 @ X97)=>((image_b_a @ (the_inv_into_a_b @ X97 @ X96) @ (image_a_b @ X96 @ X97))=(X97)))), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', fact_38_the__inv__into__onto)). 1.63/1.85 thf(fact_1_assms_I1_J, axiom, (bij_betw_a_b @ f @ a2 @ b2), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', fact_1_assms_I1_J)). 1.63/1.85 thf(fact_206_imageI, axiom, ![X627:b, X628:set_b, X629:b > a]:(((member_b @ X627 @ X628)=>(member_a @ (X629 @ X627) @ (image_b_a @ X629 @ X628)))), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', fact_206_imageI)). 1.63/1.85 thf(fact_0_assms_I2_J, axiom, (member_b @ x @ b2), file('/export/starexec/sandbox2/tmp/tmp.me69gkk8Xs/Vampire---4.8_19061', fact_0_assms_I2_J)). 1.63/1.85 thf(c_0_6, plain, ![X6146:a > b, X6147:set_a, X6148:set_b]:(((bij_betw_a_b @ X6146 @ X6147 @ X6148)<=>((inj_on_a_b @ X6146 @ X6147)&((image_a_b @ X6146 @ X6147)=(X6148))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_77_bij__betw__def])])). 1.63/1.85 thf(c_0_7, plain, ![X6466:a > b, X6467:set_a, X6468:set_b]:(((((inj_on_a_b @ X6466 @ X6467)|~(bij_betw_a_b @ X6466 @ X6467 @ X6468))&(((image_a_b @ X6466 @ X6467)=(X6468))|~(bij_betw_a_b @ X6466 @ X6467 @ X6468)))&(~(inj_on_a_b @ X6466 @ X6467)|((image_a_b @ X6466 @ X6467)!=(X6468))|(bij_betw_a_b @ X6466 @ X6467 @ X6468)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 1.63/1.85 thf(c_0_8, negated_conjecture, ~(((member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2)&![X118:a]:((((member_a @ X118 @ a2)&((the_inv_into_a_b @ a2 @ f @ x)=(X118)))=>((X118)=(the_inv_into_a_b @ a2 @ f @ x)))))), inference(assume_negation,[status(cth)],[conj_0])). 1.63/1.85 thf(c_0_9, plain, ![X6295:a > b, X6296:set_a]:((~(inj_on_a_b @ X6295 @ X6296)|((image_b_a @ (the_inv_into_a_b @ X6296 @ X6295) @ (image_a_b @ X6295 @ X6296))=(X6296)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_the__inv__into__onto])])). 1.63/1.85 thf(c_0_10, plain, ![X14:a > b, X9:set_a, X6:set_b]:((((image_a_b @ X14 @ X9)=(X6))|~((bij_betw_a_b @ X14 @ X9 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_7])). 1.63/1.85 thf(c_0_11, plain, (bij_betw_a_b @ f @ a2 @ b2), inference(split_conjunct,[status(thm)],[fact_1_assms_I1_J])). 1.63/1.85 thf(c_0_12, plain, ![X14:a > b, X9:set_a, X6:set_b]:(((inj_on_a_b @ X14 @ X9)|~((bij_betw_a_b @ X14 @ X9 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_7])). 1.63/1.85 thf(c_0_13, negated_conjecture, ((((member_a @ esk522_0 @ a2)|~(member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2))&(((the_inv_into_a_b @ a2 @ f @ x)=(esk522_0))|~(member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2)))&(((esk522_0)!=(the_inv_into_a_b @ a2 @ f @ x))|~(member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 1.63/1.85 thf(c_0_14, plain, ![X7008:b, X7009:set_b, X7010:b > a]:((~(member_b @ X7008 @ X7009)|(member_a @ (X7010 @ X7008) @ (image_b_a @ X7010 @ X7009)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_206_imageI])])). 1.63/1.85 thf(c_0_15, plain, ![X14:a > b, X9:set_a]:((((image_b_a @ (the_inv_into_a_b @ X9 @ X14) @ (image_a_b @ X14 @ X9))=(X9))|~((inj_on_a_b @ X14 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_9])). 1.63/1.85 thf(c_0_16, plain, ((image_a_b @ f @ a2)=(b2)), inference(spm,[status(thm)],[c_0_10, c_0_11])). 1.63/1.85 thf(c_0_17, plain, (inj_on_a_b @ f @ a2), inference(spm,[status(thm)],[c_0_12, c_0_11])). 1.63/1.85 thf(c_0_18, negated_conjecture, (((the_inv_into_a_b @ a2 @ f @ x)=(esk522_0))|~((member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2))), inference(split_conjunct,[status(thm)],[c_0_13])). 1.63/1.85 thf(c_0_19, negated_conjecture, (((esk522_0)!=(the_inv_into_a_b @ a2 @ f @ x))|~((member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2))), inference(split_conjunct,[status(thm)],[c_0_13])). 1.63/1.85 thf(c_0_20, plain, ![X11:b > a, X7:b, X6:set_b]:(((member_a @ (X11 @ X7) @ (image_b_a @ X11 @ X6))|~((member_b @ X7 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_14])). 1.63/1.85 thf(c_0_21, plain, ((image_b_a @ (the_inv_into_a_b @ a2 @ f) @ b2)=(a2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])])). 1.63/1.85 thf(c_0_22, negated_conjecture, ~((member_a @ (the_inv_into_a_b @ a2 @ f @ x) @ a2)), inference(csr,[status(thm)],[c_0_18, c_0_19])). 1.63/1.86 thf(c_0_23, plain, ![X7:b]:(((member_a @ (the_inv_into_a_b @ a2 @ f @ X7) @ a2)|~((member_b @ X7 @ b2)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 1.63/1.86 thf(c_0_24, plain, (member_b @ x @ b2), inference(split_conjunct,[status(thm)],[fact_0_assms_I2_J])). 1.63/1.86 thf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), ['proof']). 1.63/1.86 # SZS output end CNFRefutation 1.63/1.86 # Parsed axioms : 1535 1.63/1.86 # Removed by relevancy pruning/SinE : 0 1.63/1.86 # Initial clauses : 2660 1.63/1.86 # Removed in clause preprocessing : 312 1.63/1.86 # Initial clauses in saturation : 2348 1.63/1.86 # Processed clauses : 7845 1.63/1.86 # ...of these trivial : 115 1.63/1.86 # ...subsumed : 3323 1.63/1.86 # ...remaining for further processing : 4407 1.63/1.86 # Other redundant clauses eliminated : 503 1.63/1.86 # Clauses deleted for lack of memory : 0 1.63/1.86 # Backward-subsumed : 130 1.63/1.86 # Backward-rewritten : 236 1.63/1.86 # Generated clauses : 15357 1.63/1.86 # ...of the previous two non-redundant : 13493 1.63/1.86 # ...aggressively subsumed : 0 1.63/1.86 # Contextual simplify-reflections : 37 1.63/1.86 # Paramodulations : 14804 1.63/1.86 # Factorizations : 26 1.63/1.86 # NegExts : 0 1.63/1.86 # Equation resolutions : 506 1.63/1.86 # Propositional unsat checks : 0 1.63/1.86 # Propositional check models : 0 1.63/1.86 # Propositional check unsatisfiable : 0 1.63/1.86 # Propositional clauses : 0 1.63/1.86 # Propositional clauses after purity: 0 1.63/1.86 # Propositional unsat core size : 0 1.63/1.86 # Propositional preprocessing time : 0.000 1.63/1.86 # Propositional encoding time : 0.000 1.63/1.86 # Propositional solver time : 0.000 1.63/1.86 # Success case prop preproc time : 0.000 1.63/1.86 # Success case prop encoding time : 0.000 1.63/1.86 # Success case prop solver time : 0.000 1.63/1.86 # Current number of processed clauses : 1948 1.63/1.86 # Positive orientable unit clauses : 210 1.63/1.86 # Positive unorientable unit clauses: 2 1.63/1.86 # Negative unit clauses : 110 1.63/1.86 # Non-unit-clauses : 1626 1.63/1.86 # Current number of unprocessed clauses: 9614 1.63/1.86 # ...number of literals in the above : 29331 1.63/1.86 # Current number of archived formulas : 0 1.63/1.86 # Current number of archived clauses : 2247 1.63/1.86 # Clause-clause subsumption calls (NU) : 903530 1.63/1.86 # Rec. Clause-clause subsumption calls : 473651 1.63/1.86 # Non-unit clause-clause subsumptions : 2350 1.63/1.86 # Unit Clause-clause subsumption calls : 33092 1.63/1.86 # Rewrite failures with RHS unbound : 0 1.63/1.86 # BW rewrite match attempts : 20802 1.63/1.86 # BW rewrite match successes : 82 1.63/1.86 # Condensation attempts : 0 1.63/1.86 # Condensation successes : 0 1.63/1.86 # Termbank termtop insertions : 380775 1.63/1.86 1.63/1.86 # ------------------------------------------------- 1.63/1.86 # User time : 1.110 s 1.63/1.86 # System time : 0.039 s 1.63/1.86 # Total time : 1.149 s 1.63/1.86 # Maximum resident set size: 15052 pages 1.63/1.86 1.63/1.86 # ------------------------------------------------- 1.63/1.86 # User time : 1.162 s 1.63/1.86 # System time : 0.046 s 1.63/1.86 # Total time : 1.208 s 1.63/1.86 # Maximum resident set size: 5192 pages 1.63/1.86 EOF