0.10/0.32 % Problem : SLH0442^1 : TPTP v8.2.0. Released v8.2.0. 0.10/0.33 % Command : run_E %s %d THM 0.33/0.54 % Computer : n019.cluster.edu 0.33/0.54 % Model : x86_64 x86_64 0.33/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.33/0.54 % Memory : 8042.1875MB 0.33/0.54 % OS : Linux 3.10.0-693.el7.x86_64 0.33/0.54 % CPULimit : 30 0.33/0.54 % WCLimit : 30 0.33/0.54 % DateTime : Mon Jul 3 09:34:35 EDT 2023 0.33/0.54 % CPUTime : 0.44/0.65 The problem SPC is TH0_THM_EQU_NAR 0.44/0.65 Running higher-order on 1 cores theorem proving 0.44/0.65 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069 0.44/0.65 # Version: 3.0pre003-ho 1.25/1.46 # Preprocessing class: HMLMSMSMSSLNHFA. 1.25/1.46 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.25/1.46 # Starting new_ho_10 with 30s (1) cores 1.25/1.46 # new_ho_10 with pid 16249 completed with status 0 1.25/1.46 # Result found by new_ho_10 1.25/1.46 # Preprocessing class: HMLMSMSMSSLNHFA. 1.25/1.46 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.25/1.46 # Starting new_ho_10 with 30s (1) cores 1.25/1.46 # No SInE strategy applied 1.25/1.46 # Search class: HGHSM-SMLM32-DHFFFSBN 1.25/1.46 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.25/1.46 # Starting new_ho_10 with 19s (1) cores 1.25/1.46 # new_ho_10 with pid 16250 completed with status 0 1.25/1.46 # Result found by new_ho_10 1.25/1.46 # Preprocessing class: HMLMSMSMSSLNHFA. 1.25/1.46 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.25/1.46 # Starting new_ho_10 with 30s (1) cores 1.25/1.46 # No SInE strategy applied 1.25/1.46 # Search class: HGHSM-SMLM32-DHFFFSBN 1.25/1.46 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.25/1.46 # Starting new_ho_10 with 19s (1) cores 1.25/1.46 # Preprocessing time : 0.040 s 1.25/1.46 # Presaturation interreduction done 1.25/1.46 1.25/1.46 # Proof found! 1.25/1.46 # SZS status ContradictoryAxioms 1.25/1.46 # SZS output start CNFRefutation 1.25/1.46 thf(decl_22, type, abstra1902783451776770197rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_23, type, abstra2685462378305987313_a_nat: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_24, type, abstract_NF_term_a_b: set_Pr4386577575007340137rm_a_b > set_term_a_b). 1.25/1.46 thf(decl_25, type, abstract_NF_b: set_Product_prod_b_b > set_b). 1.25/1.46 thf(decl_26, type, abstra1303798319023342519rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_27, type, abstra7833083522531381839_a_nat: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.25/1.46 thf(decl_28, type, abstra3619855735679963878rm_a_b: set_Pr4386577575007340137rm_a_b > set_term_a_b > $o). 1.25/1.46 thf(decl_29, type, abstract_UNF_on_b: set_Product_prod_b_b > set_b > $o). 1.25/1.46 thf(decl_30, type, abstra875157153669124638rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_31, type, abstra6648775111202918568_a_nat: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.25/1.46 thf(decl_32, type, abstra5026849107050860991rm_a_b: set_Pr4386577575007340137rm_a_b > set_term_a_b > $o). 1.25/1.46 thf(decl_33, type, abstract_WCR_on_b: set_Product_prod_b_b > set_b > $o). 1.25/1.46 thf(decl_34, type, abstra2721873542170697047rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_35, type, abstra4582696096554303663_a_nat: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.25/1.46 thf(decl_36, type, abstra4644735066934440262rm_a_b: set_Pr4386577575007340137rm_a_b > set_term_a_b > $o). 1.25/1.46 thf(decl_37, type, abstract_WN_on_b: set_Product_prod_b_b > set_b > $o). 1.25/1.46 thf(decl_38, type, abstra4889682940153293507rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_39, type, abstra881512052393830979_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_40, type, abstra4096080454567261402rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_41, type, abstract_join_b: set_Product_prod_b_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_42, type, abstra1093061187967292567rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_43, type, abstra1496011390211842225rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_44, type, abstra3832961281062565333_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_45, type, abstra2972651231392952684rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_46, type, abstra380364156431640999lity_b: set_Product_prod_b_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_47, type, abstra2354209648719431185rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_48, type, abstra5205533538889074805_a_nat: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_49, type, abstra6662565036008789004rm_a_b: set_Pr4386577575007340137rm_a_b > set_term_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_50, type, abstract_restrict_b: set_Product_prod_b_b > set_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_51, type, bNF_Ca2413601583040309898_b_nat: set_Pr4386577575007340137rm_a_b > (term_a_b > nat) > $o). 1.25/1.46 thf(decl_52, type, bNF_Ca8501653506855686447rm_a_b: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4386577575007340137rm_a_b) > $o). 1.25/1.46 thf(decl_53, type, bNF_Ca9222207453146494317_a_nat: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > $o). 1.25/1.46 thf(decl_54, type, bNF_Ca4145430952545333252rm_a_b: set_Pr4386577575007340137rm_a_b > (term_a_b > set_term_a_b) > $o). 1.25/1.46 thf(decl_55, type, bNF_Ca1840730227163293605_set_b: set_Pr4386577575007340137rm_a_b > (term_a_b > set_b) > $o). 1.25/1.46 thf(decl_56, type, minus_minus_nat: nat > nat > nat). 1.25/1.46 thf(decl_57, type, zero_zero_nat: nat). 1.25/1.46 thf(decl_58, type, if_term_a_b: $o > term_a_b > term_a_b > term_a_b). 1.25/1.46 thf(decl_59, type, inf_in7523581892642934342_a_b_o: (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b > $o). 1.25/1.46 thf(decl_60, type, inf_in4234122607708886400_nat_o: (product_prod_a_nat > $o) > (product_prod_a_nat > $o) > product_prod_a_nat > $o). 1.25/1.46 thf(decl_61, type, inf_in2005149299588960588_a_b_o: (term_a_b > term_a_b > $o) > (term_a_b > term_a_b > $o) > term_a_b > term_a_b > $o). 1.25/1.46 thf(decl_62, type, inf_inf_term_a_b_o: (term_a_b > $o) > (term_a_b > $o) > term_a_b > $o). 1.25/1.46 thf(decl_63, type, inf_inf_a_nat_o: (a > nat > $o) > (a > nat > $o) > a > nat > $o). 1.25/1.46 thf(decl_64, type, inf_inf_b_o: (b > $o) > (b > $o) > b > $o). 1.25/1.46 thf(decl_65, type, inf_inf_nat: nat > nat > nat). 1.25/1.46 thf(decl_66, type, inf_in7724013137991509301rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_67, type, inf_in8678195602585455913_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_68, type, inf_in1693821330460682071rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_69, type, inf_in3813033988066259269_a_nat: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_70, type, inf_in8340392639285749429od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_71, type, inf_inf_set_term_a_b: set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_72, type, inf_inf_set_b: set_b > set_b > set_b). 1.25/1.46 thf(decl_73, type, sup_sup_nat: nat > nat > nat). 1.25/1.46 thf(decl_74, type, sup_su6776935440552674877rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_75, type, sup_su459911885395995103_a_nat: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_76, type, sup_sup_set_term_a_b: set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_77, type, sup_sup_set_b: set_b > set_b > set_b). 1.25/1.46 thf(decl_78, type, nil_term_a_b: list_term_a_b). 1.25/1.46 thf(decl_79, type, bot_bo23760184229683272_a_b_o: produc357393685978478089rm_a_b > $o). 1.25/1.46 thf(decl_80, type, bot_bo1388487281569869310_nat_o: product_prod_a_nat > $o). 1.25/1.46 thf(decl_81, type, bot_bo1413036057729848522_a_b_o: term_a_b > term_a_b > $o). 1.25/1.46 thf(decl_82, type, bot_bot_term_a_b_o: term_a_b > $o). 1.25/1.46 thf(decl_83, type, bot_bot_a_nat_o: a > nat > $o). 1.25/1.46 thf(decl_84, type, bot_bot_b_o: b > $o). 1.25/1.46 thf(decl_85, type, bot_bot_nat: nat). 1.25/1.46 thf(decl_86, type, bot_bot_set_list_nat: set_list_nat). 1.25/1.46 thf(decl_87, type, bot_bot_set_nat: set_nat). 1.25/1.46 thf(decl_88, type, bot_bo197521221353338581rm_a_b: set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_89, type, bot_bo9049108969261143879_a_nat: set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_90, type, bot_bot_set_term_a_b: set_term_a_b). 1.25/1.46 thf(decl_91, type, bot_bot_set_a: set_a). 1.25/1.46 thf(decl_92, type, bot_bot_set_b: set_b). 1.25/1.46 thf(decl_93, type, max_term_a_b: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.46 thf(decl_94, type, min_term_a_b: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.46 thf(decl_95, type, ord_le6645574462093738516_a_b_o: (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > $o). 1.25/1.46 thf(decl_96, type, ord_le8950881081082477362_nat_o: (product_prod_a_nat > $o) > (product_prod_a_nat > $o) > $o). 1.25/1.46 thf(decl_97, type, ord_le8627286948385211390_a_b_o: (term_a_b > term_a_b > $o) > (term_a_b > term_a_b > $o) > $o). 1.25/1.46 thf(decl_98, type, ord_le3490609322949561435_a_b_o: (term_a_b > $o) > (term_a_b > $o) > $o). 1.25/1.46 thf(decl_99, type, ord_less_eq_a_nat_o: (a > nat > $o) > (a > nat > $o) > $o). 1.25/1.46 thf(decl_100, type, ord_less_eq_b_o: (b > $o) > (b > $o) > $o). 1.25/1.46 thf(decl_101, type, ord_less_eq_nat: nat > nat > $o). 1.25/1.46 thf(decl_102, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.25/1.46 thf(decl_103, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 1.25/1.46 thf(decl_104, type, ord_le2593958535671617255rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b > $o). 1.25/1.46 thf(decl_105, type, ord_le1018141841545957851_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat > $o). 1.25/1.46 thf(decl_106, type, ord_le2177895101545574002rm_a_b: set_Pr7191425930741896914rm_a_b > set_Pr7191425930741896914rm_a_b > $o). 1.25/1.46 thf(decl_107, type, ord_le7516853312212197709_nat_b: set_Pr1427273409173037293_nat_b > set_Pr1427273409173037293_nat_b > $o). 1.25/1.46 thf(decl_108, type, ord_le4886990623789914610_a_nat: set_Pr677149416131461714_a_nat > set_Pr677149416131461714_a_nat > $o). 1.25/1.46 thf(decl_109, type, ord_le118470702582115849rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_110, type, ord_le2992246129189061110_a_b_b: set_Pr3369833000147915158_a_b_b > set_Pr3369833000147915158_a_b_b > $o). 1.25/1.46 thf(decl_111, type, ord_le8666007276011122963_a_nat: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.25/1.46 thf(decl_112, type, ord_le746702958409616551od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.25/1.46 thf(decl_113, type, ord_le8567420702850673729_a_nat: set_Pr2477840799811513313_a_nat > set_Pr2477840799811513313_a_nat > $o). 1.25/1.46 thf(decl_114, type, ord_le980006117782565848rm_a_b: set_Pr1357592988741419896rm_a_b > set_Pr1357592988741419896rm_a_b > $o). 1.25/1.46 thf(decl_115, type, ord_le182087997850975847od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o). 1.25/1.46 thf(decl_116, type, ord_le2705286416250468010rm_a_b: set_term_a_b > set_term_a_b > $o). 1.25/1.46 thf(decl_117, type, ord_less_eq_set_a: set_a > set_a > $o). 1.25/1.46 thf(decl_118, type, ord_less_eq_set_b: set_b > set_b > $o). 1.25/1.46 thf(decl_119, type, greatest_term_a_b: (term_a_b > term_a_b > $o) > (term_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_120, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 1.25/1.46 thf(decl_121, type, product_Pair_nat_a: nat > a > product_prod_nat_a). 1.25/1.46 thf(decl_122, type, produc1763473618796451543rm_a_b: produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > produc4523971788519308903rm_a_b). 1.25/1.46 thf(decl_123, type, produc2026711137822539155_a_nat: product_prod_a_nat > product_prod_a_nat > produc4708774622424448987_a_nat). 1.25/1.46 thf(decl_124, type, produc4170664577406169130rm_a_b: product_prod_a_nat > term_a_b > produc3105026996248004978rm_a_b). 1.25/1.46 thf(decl_125, type, produc4089303804546721641_nat_b: product_prod_a_nat > b > produc2885016591912173239_nat_b). 1.25/1.46 thf(decl_126, type, produc2782138671500312106_a_nat: term_a_b > product_prod_a_nat > produc5781992300264797426_a_nat). 1.25/1.46 thf(decl_127, type, produc7020197800436672577rm_a_b: term_a_b > term_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_128, type, produc1666658391573147538_a_b_b: term_a_b > b > produc6510227487322075744_a_b_b). 1.25/1.46 thf(decl_129, type, product_Pair_a_nat: a > nat > product_prod_a_nat). 1.25/1.46 thf(decl_130, type, product_Pair_a_a: a > a > product_prod_a_a). 1.25/1.46 thf(decl_131, type, produc360965915250950693_a_nat: b > product_prod_a_nat > produc3491864156559197099_a_nat). 1.25/1.46 thf(decl_132, type, produc1437816968797971900rm_a_b: b > term_a_b > produc6551080308567045442rm_a_b). 1.25/1.46 thf(decl_133, type, product_Pair_b_b: b > b > product_prod_b_b). 1.25/1.46 thf(decl_134, type, produc457027306803732586at_nat: set_nat > (nat > set_nat) > set_Pr1261947904930325089at_nat). 1.25/1.46 thf(decl_135, type, produc5745020764710804872rm_a_b: set_Pr4386577575007340137rm_a_b > (produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_136, type, produc3832836940518797764_a_nat: set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_137, type, produc1406664433328107739rm_a_b: set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_term_a_b) > set_Pr7191425930741896914rm_a_b). 1.25/1.46 thf(decl_138, type, produc7877981437133276280_nat_b: set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_b) > set_Pr1427273409173037293_nat_b). 1.25/1.46 thf(decl_139, type, produc18138527422250715_a_nat: set_term_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > set_Pr677149416131461714_a_nat). 1.25/1.46 thf(decl_140, type, produc1953217797448512882rm_a_b: set_term_a_b > (term_a_b > set_term_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_141, type, produc3118790356334764065_a_b_b: set_term_a_b > (term_a_b > set_b) > set_Pr3369833000147915158_a_b_b). 1.25/1.46 thf(decl_142, type, product_Sigma_a_nat: set_a > (a > set_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_143, type, product_Sigma_a_a: set_a > (a > set_a) > set_Product_prod_a_a). 1.25/1.46 thf(decl_144, type, produc4149643547837505332_a_nat: set_b > (b > set_Pr4934435412358123699_a_nat) > set_Pr2477840799811513313_a_nat). 1.25/1.46 thf(decl_145, type, produc2889948933559588427rm_a_b: set_b > (b > set_term_a_b) > set_Pr1357592988741419896rm_a_b). 1.25/1.46 thf(decl_146, type, product_Sigma_b_b: set_b > (b > set_b) > set_Product_prod_b_b). 1.25/1.46 thf(decl_147, type, produc161078424057476524_a_b_o: (produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > $o) > produc4523971788519308903rm_a_b > $o). 1.25/1.46 thf(decl_148, type, produc292522255390808560_nat_o: (product_prod_a_nat > product_prod_a_nat > $o) > produc4708774622424448987_a_nat > $o). 1.25/1.46 thf(decl_149, type, produc6251846659952913346_a_b_o: (term_a_b > term_a_b > $o) > produc357393685978478089rm_a_b > $o). 1.25/1.46 thf(decl_150, type, produc2089504961790700083rm_a_b: (term_a_b > term_a_b > produc357393685978478089rm_a_b) > produc357393685978478089rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_151, type, produc782875466020721299rm_a_b: (term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b) > produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_152, type, produc1617657634283585801_a_nat: (term_a_b > term_a_b > set_Pr4934435412358123699_a_nat) > produc357393685978478089rm_a_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_153, type, produc4183544859315501472rm_a_b: (term_a_b > term_a_b > set_term_a_b) > produc357393685978478089rm_a_b > set_term_a_b). 1.25/1.46 thf(decl_154, type, produc5762022541116952329_set_b: (term_a_b > term_a_b > set_b) > produc357393685978478089rm_a_b > set_b). 1.25/1.46 thf(decl_155, type, produc3680711911437148916_nat_o: (a > nat > $o) > product_prod_a_nat > $o). 1.25/1.46 thf(decl_156, type, produc8738682720600764961_a_nat: (a > nat > product_prod_a_nat) > product_prod_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_157, type, produc4998162335027492293rm_a_b: (a > nat > set_Pr4386577575007340137rm_a_b) > product_prod_a_nat > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_158, type, produc7499543521670136919_a_nat: (a > nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_159, type, produc6705337977959414766rm_a_b: (a > nat > set_term_a_b) > product_prod_a_nat > set_term_a_b). 1.25/1.46 thf(decl_160, type, produc3842549573009638715_set_b: (a > nat > set_b) > product_prod_a_nat > set_b). 1.25/1.46 thf(decl_161, type, produc4772849988445941548_b_b_o: (b > b > $o) > product_prod_b_b > $o). 1.25/1.46 thf(decl_162, type, relcomp_nat_a_nat: set_Pr4193341848836149977_nat_a > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat). 1.25/1.46 thf(decl_163, type, relcomp_nat_a_a: set_Pr4193341848836149977_nat_a > set_Product_prod_a_a > set_Pr4193341848836149977_nat_a). 1.25/1.46 thf(decl_164, type, relcom370159955682700863rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_165, type, relcomp_a_nat_nat: set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_166, type, relcomp_a_nat_a: set_Pr4934435412358123699_a_nat > set_Pr4193341848836149977_nat_a > set_Product_prod_a_a). 1.25/1.46 thf(decl_167, type, relcomp_a_a_nat: set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_168, type, replac8618238927709742794ed_a_b: a > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_169, type, rrstep_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_170, type, rrstepp_a_b: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > $o). 1.25/1.46 thf(decl_171, type, rstep_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_172, type, rstepp_a_b: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > $o). 1.25/1.46 thf(decl_173, type, sig_step_a_b: set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_174, type, srstep7844470518422762656ep_a_b: set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_175, type, rewrit2869827417384121323_a_b_a: set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_176, type, ball_P7180823220487229619rm_a_b: set_Pr4386577575007340137rm_a_b > (produc357393685978478089rm_a_b > $o) > $o). 1.25/1.46 thf(decl_177, type, ball_P1929731971474157651_a_nat: set_Pr4934435412358123699_a_nat > (product_prod_a_nat > $o) > $o). 1.25/1.46 thf(decl_178, type, ball_term_a_b: set_term_a_b > (term_a_b > $o) > $o). 1.25/1.46 thf(decl_179, type, ball_b: set_b > (b > $o) > $o). 1.25/1.46 thf(decl_180, type, collec1344989105561874898rm_a_b: (produc4523971788519308903rm_a_b > $o) > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_181, type, collec925066218191019974_a_nat: (produc4708774622424448987_a_nat > $o) > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_182, type, collec99177395925924084rm_a_b: (produc357393685978478089rm_a_b > $o) > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_183, type, collec4464134535221767506_a_nat: (product_prod_a_nat > $o) > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_184, type, collec548942219715005266od_b_b: (product_prod_b_b > $o) > set_Product_prod_b_b). 1.25/1.46 thf(decl_185, type, collect_term_a_b: (term_a_b > $o) > set_term_a_b). 1.25/1.46 thf(decl_186, type, collect_b: (b > $o) > set_b). 1.25/1.46 thf(decl_187, type, set_atMost_term_a_b: (term_a_b > term_a_b > $o) > term_a_b > set_term_a_b). 1.25/1.46 thf(decl_188, type, subter2376574525758040790rm_a_b: subterm_and_ctxt_a_b > term_a_b > term_a_b). 1.25/1.46 thf(decl_189, type, subter4086027020339385547_a_b_b: subterm_and_ctxt_a_b > (b > term_a_b) > subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_190, type, subter523971068842742411eq_a_b: set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_191, type, restri22458263168500592in_b_a: set_b > (b > term_a_b) > b > term_a_b). 1.25/1.46 thf(decl_192, type, subst_b_a: b > term_a_b > b > term_a_b). 1.25/1.46 thf(decl_193, type, subst_4153759000330037794_a_b_b: term_a7872195449889686814rm_a_b > (produc357393685978478089rm_a_b > term_a_b) > term_a_b). 1.25/1.46 thf(decl_194, type, subst_7594788693776874580_nat_b: term_a4869312137600358462_a_nat > (product_prod_a_nat > term_a_b) > term_a_b). 1.25/1.46 thf(decl_195, type, subst_3773052416385611261_a_b_b: term_a_term_a_b > (term_a_b > term_a_b) > term_a_b). 1.25/1.46 thf(decl_196, type, subst_7999470309526761004_a_b_b: term_a_b > (b > term_a_b) > term_a_b). 1.25/1.46 thf(decl_197, type, fun_a_b: a > list_term_a_b > term_a_b). 1.25/1.46 thf(decl_198, type, vars_t1977812157029556855rm_a_b: term_a7872195449889686814rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_199, type, vars_t1901007187362276239_a_nat: term_a4869312137600358462_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_200, type, vars_term_a_term_a_b: term_a_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_201, type, vars_term_a_b: term_a_b > set_b). 1.25/1.46 thf(decl_202, type, term_depth_a_b: term_a_b > nat). 1.25/1.46 thf(decl_203, type, term_funas_ctxt_a_b: subterm_and_ctxt_a_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_204, type, term_funas_term_a_b: term_a_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_205, type, term_ground_a_b: term_a_b > $o). 1.25/1.46 thf(decl_206, type, term_ground_ctxt_a_b: subterm_and_ctxt_a_b > $o). 1.25/1.46 thf(decl_207, type, term_p3503116865373065078eq_nat: list_nat > list_nat > $o). 1.25/1.46 thf(decl_208, type, term_p8391561492822560442rm_a_b: list_term_a_b > list_term_a_b > $o). 1.25/1.46 thf(decl_209, type, term_r6860082780075436317at_a_b: term_a_b > list_nat > term_a_b > term_a_b). 1.25/1.46 thf(decl_210, type, terms_8374513854926927137th_a_b: set_Pr4934435412358123699_a_nat > subterm_and_ctxt_a_b > $o). 1.25/1.46 thf(decl_211, type, terms_7988297476397195622_a_b_b: set_Pr4386577575007340137rm_a_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_212, type, terms_3799363064701517935xt_a_b: set_Pr4934435412358123699_a_nat > b > subterm_and_ctxt_a_b > subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_213, type, terms_130083692264552600xt_a_b: set_Pr4934435412358123699_a_nat > b > subterm_and_ctxt_a_b > term_a_b). 1.25/1.46 thf(decl_214, type, terms_5523818207328828897rm_a_b: term_a_b > $o). 1.25/1.46 thf(decl_215, type, terms_7168686267159881682rm_a_b: term_a_b > term_a_b > set_list_nat). 1.25/1.46 thf(decl_216, type, terms_8519481630511763164ig_a_b: set_Pr4934435412358123699_a_nat > b > term_a_b > term_a_b). 1.25/1.46 thf(decl_217, type, terms_varposs_a_b: term_a_b > set_list_nat). 1.25/1.46 thf(decl_218, type, transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 1.25/1.46 thf(decl_219, type, transi2615809358984392588rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_220, type, transi2726145917338391738_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_221, type, transi7742714808557438673rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_222, type, transitive_rtrancl_a: set_Product_prod_a_a > set_Product_prod_a_a). 1.25/1.46 thf(decl_223, type, transitive_rtrancl_b: set_Product_prod_b_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_224, type, transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 1.25/1.46 thf(decl_225, type, transi9211502839322181930rm_a_b: set_Pr2972776593051762503rm_a_b > set_Pr2972776593051762503rm_a_b). 1.25/1.46 thf(decl_226, type, transi6805586507763294364_a_nat: set_Pr1811044260758604347_a_nat > set_Pr1811044260758604347_a_nat). 1.25/1.46 thf(decl_227, type, transi7922773638565587891rm_a_b: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_228, type, transitive_trancl_a: set_Product_prod_a_a > set_Product_prod_a_a). 1.25/1.46 thf(decl_229, type, transitive_trancl_b: set_Product_prod_b_b > set_Product_prod_b_b). 1.25/1.46 thf(decl_230, type, member_list_nat: list_nat > set_list_nat > $o). 1.25/1.46 thf(decl_231, type, member_nat: nat > set_nat > $o). 1.25/1.46 thf(decl_232, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 1.25/1.46 thf(decl_233, type, member8962352052110095674_nat_a: product_prod_nat_a > set_Pr4193341848836149977_nat_a > $o). 1.25/1.46 thf(decl_234, type, member8417600551952982416rm_a_b: produc4523971788519308903rm_a_b > set_Pr2972776593051762503rm_a_b > $o). 1.25/1.46 thf(decl_235, type, member9062615507155100804_a_nat: produc4708774622424448987_a_nat > set_Pr1811044260758604347_a_nat > $o). 1.25/1.46 thf(decl_236, type, member1876585039447381659rm_a_b: produc3105026996248004978rm_a_b > set_Pr7191425930741896914rm_a_b > $o). 1.25/1.46 thf(decl_237, type, member7303756234203193678_nat_b: produc2885016591912173239_nat_b > set_Pr1427273409173037293_nat_b > $o). 1.25/1.46 thf(decl_238, type, member4553550343464174107_a_nat: produc5781992300264797426_a_nat > set_Pr677149416131461714_a_nat > $o). 1.25/1.46 thf(decl_239, type, member5869715511025134514rm_a_b: produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b > $o). 1.25/1.46 thf(decl_240, type, member6959280461167840375_a_b_b: produc6510227487322075744_a_b_b > set_Pr3369833000147915158_a_b_b > $o). 1.25/1.46 thf(decl_241, type, member5724188588386418708_a_nat: product_prod_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.25/1.46 thf(decl_242, type, member1426531477525435216od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 1.25/1.46 thf(decl_243, type, member7910603798850217538_a_nat: produc3491864156559197099_a_nat > set_Pr2477840799811513313_a_nat > $o). 1.25/1.46 thf(decl_244, type, member7000133282412810073rm_a_b: produc6551080308567045442rm_a_b > set_Pr1357592988741419896rm_a_b > $o). 1.25/1.46 thf(decl_245, type, member7862447936710763792od_b_b: product_prod_b_b > set_Product_prod_b_b > $o). 1.25/1.46 thf(decl_246, type, member_term_a_b: term_a_b > set_term_a_b > $o). 1.25/1.46 thf(decl_247, type, member_a: a > set_a > $o). 1.25/1.46 thf(decl_248, type, member_b: b > set_b > $o). 1.25/1.46 thf(decl_249, type, c: subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_250, type, d: subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_251, type, f: set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_252, type, h: set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_253, type, r: set_Pr4386577575007340137rm_a_b). 1.25/1.46 thf(decl_254, type, sigma: b > term_a_b). 1.25/1.46 thf(decl_255, type, c2: a). 1.25/1.46 thf(decl_256, type, l: term_a_b). 1.25/1.46 thf(decl_257, type, r2: term_a_b). 1.25/1.46 thf(decl_258, type, s: term_a_b). 1.25/1.46 thf(decl_259, type, esk1_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_260, type, esk2_2: set_term_a_b > set_term_a_b > term_a_b). 1.25/1.46 thf(decl_261, type, esk3_2: set_b > set_b > b). 1.25/1.46 thf(decl_262, type, esk4_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_263, type, esk5_0: subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_264, type, esk6_0: term_a_b). 1.25/1.46 thf(decl_265, type, esk7_0: term_a_b). 1.25/1.46 thf(decl_266, type, esk8_0: b > term_a_b). 1.25/1.46 thf(decl_267, type, esk9_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > a). 1.25/1.46 thf(decl_268, type, esk10_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_269, type, esk11_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_270, type, esk12_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_271, type, esk13_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.46 thf(decl_272, type, esk14_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.46 thf(decl_273, type, esk15_2: set_Pr4386577575007340137rm_a_b > (term_a_b > nat) > term_a_b). 1.25/1.46 thf(decl_274, type, esk16_2: set_Pr4386577575007340137rm_a_b > (term_a_b > nat) > term_a_b). 1.25/1.46 thf(decl_275, type, esk17_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_b) > term_a_b). 1.25/1.46 thf(decl_276, type, esk18_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_b) > term_a_b). 1.25/1.46 thf(decl_277, type, esk19_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.46 thf(decl_278, type, esk20_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.46 thf(decl_279, type, esk21_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.46 thf(decl_280, type, esk22_2: set_Pr4386577575007340137rm_a_b > (term_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.46 thf(decl_281, type, esk23_4: nat > nat > (nat > nat) > nat > nat). 1.25/1.46 thf(decl_282, type, esk24_4: nat > nat > (nat > nat) > nat > nat). 1.25/1.46 thf(decl_283, type, esk25_4: nat > nat > (nat > set_b) > set_b > nat). 1.25/1.46 thf(decl_284, type, esk26_4: nat > nat > (nat > set_b) > set_b > nat). 1.25/1.46 thf(decl_285, type, esk27_4: set_b > set_b > (set_b > nat) > nat > set_b). 1.25/1.46 thf(decl_286, type, esk28_4: set_b > set_b > (set_b > nat) > nat > set_b). 1.25/1.46 thf(decl_287, type, esk29_4: set_b > set_b > (set_b > set_b) > set_b > set_b). 1.25/1.46 thf(decl_288, type, esk30_4: set_b > set_b > (set_b > set_b) > set_b > set_b). 1.25/1.46 thf(decl_289, type, esk31_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > nat) > nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_290, type, esk32_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > nat) > nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_291, type, esk33_4: nat > nat > (nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_292, type, esk34_4: nat > nat > (nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_293, type, esk35_4: nat > nat > (nat > set_term_a_b) > set_term_a_b > nat). 1.25/1.46 thf(decl_294, type, esk36_4: nat > nat > (nat > set_term_a_b) > set_term_a_b > nat). 1.25/1.46 thf(decl_295, type, esk37_4: set_term_a_b > set_term_a_b > (set_term_a_b > nat) > nat > set_term_a_b). 1.25/1.46 thf(decl_296, type, esk38_4: set_term_a_b > set_term_a_b > (set_term_a_b > nat) > nat > set_term_a_b). 1.25/1.46 thf(decl_297, type, esk39_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > set_b) > set_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_298, type, esk40_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > set_b) > set_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_299, type, esk41_4: set_b > set_b > (set_b > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > set_b). 1.25/1.46 thf(decl_300, type, esk42_4: set_b > set_b > (set_b > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > set_b). 1.25/1.46 thf(decl_301, type, esk43_4: nat > (nat > nat) > nat > nat > nat). 1.25/1.46 thf(decl_302, type, esk44_4: nat > (nat > nat) > nat > nat > nat). 1.25/1.46 thf(decl_303, type, esk45_4: set_b > (nat > set_b) > nat > nat > nat). 1.25/1.46 thf(decl_304, type, esk46_4: set_b > (nat > set_b) > nat > nat > nat). 1.25/1.46 thf(decl_305, type, esk47_4: nat > (set_b > nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_306, type, esk48_4: nat > (set_b > nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_307, type, esk49_4: set_b > (set_b > set_b) > set_b > set_b > set_b). 1.25/1.46 thf(decl_308, type, esk50_4: set_b > (set_b > set_b) > set_b > set_b > set_b). 1.25/1.46 thf(decl_309, type, esk51_4: nat > (set_Pr4934435412358123699_a_nat > nat) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_310, type, esk52_4: nat > (set_Pr4934435412358123699_a_nat > nat) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_311, type, esk53_4: set_Pr4934435412358123699_a_nat > (nat > set_Pr4934435412358123699_a_nat) > nat > nat > nat). 1.25/1.46 thf(decl_312, type, esk54_4: set_Pr4934435412358123699_a_nat > (nat > set_Pr4934435412358123699_a_nat) > nat > nat > nat). 1.25/1.46 thf(decl_313, type, esk55_4: set_term_a_b > (nat > set_term_a_b) > nat > nat > nat). 1.25/1.46 thf(decl_314, type, esk56_4: set_term_a_b > (nat > set_term_a_b) > nat > nat > nat). 1.25/1.46 thf(decl_315, type, esk57_4: nat > (set_term_a_b > nat) > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_316, type, esk58_4: nat > (set_term_a_b > nat) > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_317, type, esk59_4: set_b > (set_Pr4934435412358123699_a_nat > set_b) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_318, type, esk60_4: set_b > (set_Pr4934435412358123699_a_nat > set_b) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_319, type, esk61_4: set_Pr4934435412358123699_a_nat > (set_b > set_Pr4934435412358123699_a_nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_320, type, esk62_4: set_Pr4934435412358123699_a_nat > (set_b > set_Pr4934435412358123699_a_nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_321, type, esk63_4: nat > nat > (nat > nat) > nat > nat). 1.25/1.46 thf(decl_322, type, esk64_4: nat > nat > (nat > nat) > nat > nat). 1.25/1.46 thf(decl_323, type, esk65_4: nat > nat > (nat > set_b) > set_b > nat). 1.25/1.46 thf(decl_324, type, esk66_4: nat > nat > (nat > set_b) > set_b > nat). 1.25/1.46 thf(decl_325, type, esk67_4: set_b > set_b > (set_b > nat) > nat > set_b). 1.25/1.46 thf(decl_326, type, esk68_4: set_b > set_b > (set_b > nat) > nat > set_b). 1.25/1.46 thf(decl_327, type, esk69_4: set_b > set_b > (set_b > set_b) > set_b > set_b). 1.25/1.46 thf(decl_328, type, esk70_4: set_b > set_b > (set_b > set_b) > set_b > set_b). 1.25/1.46 thf(decl_329, type, esk71_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > nat) > nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_330, type, esk72_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > nat) > nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_331, type, esk73_4: nat > nat > (nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_332, type, esk74_4: nat > nat > (nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_333, type, esk75_4: nat > nat > (nat > set_term_a_b) > set_term_a_b > nat). 1.25/1.46 thf(decl_334, type, esk76_4: nat > nat > (nat > set_term_a_b) > set_term_a_b > nat). 1.25/1.46 thf(decl_335, type, esk77_4: set_term_a_b > set_term_a_b > (set_term_a_b > nat) > nat > set_term_a_b). 1.25/1.46 thf(decl_336, type, esk78_4: set_term_a_b > set_term_a_b > (set_term_a_b > nat) > nat > set_term_a_b). 1.25/1.46 thf(decl_337, type, esk79_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > set_b) > set_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_338, type, esk80_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (set_Pr4934435412358123699_a_nat > set_b) > set_b > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_339, type, esk81_4: set_b > set_b > (set_b > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > set_b). 1.25/1.46 thf(decl_340, type, esk82_4: set_b > set_b > (set_b > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat > set_b). 1.25/1.46 thf(decl_341, type, esk83_4: nat > (nat > nat) > nat > nat > nat). 1.25/1.46 thf(decl_342, type, esk84_4: nat > (nat > nat) > nat > nat > nat). 1.25/1.46 thf(decl_343, type, esk85_4: nat > (set_b > nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_344, type, esk86_4: nat > (set_b > nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_345, type, esk87_4: set_b > (nat > set_b) > nat > nat > nat). 1.25/1.46 thf(decl_346, type, esk88_4: set_b > (nat > set_b) > nat > nat > nat). 1.25/1.46 thf(decl_347, type, esk89_4: set_b > (set_b > set_b) > set_b > set_b > set_b). 1.25/1.46 thf(decl_348, type, esk90_4: set_b > (set_b > set_b) > set_b > set_b > set_b). 1.25/1.46 thf(decl_349, type, esk91_4: set_Pr4934435412358123699_a_nat > (nat > set_Pr4934435412358123699_a_nat) > nat > nat > nat). 1.25/1.46 thf(decl_350, type, esk92_4: set_Pr4934435412358123699_a_nat > (nat > set_Pr4934435412358123699_a_nat) > nat > nat > nat). 1.25/1.46 thf(decl_351, type, esk93_4: nat > (set_Pr4934435412358123699_a_nat > nat) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_352, type, esk94_4: nat > (set_Pr4934435412358123699_a_nat > nat) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_353, type, esk95_4: nat > (set_term_a_b > nat) > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_354, type, esk96_4: nat > (set_term_a_b > nat) > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.46 thf(decl_355, type, esk97_4: set_term_a_b > (nat > set_term_a_b) > nat > nat > nat). 1.25/1.46 thf(decl_356, type, esk98_4: set_term_a_b > (nat > set_term_a_b) > nat > nat > nat). 1.25/1.46 thf(decl_357, type, esk99_4: set_Pr4934435412358123699_a_nat > (set_b > set_Pr4934435412358123699_a_nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_358, type, esk100_4: set_Pr4934435412358123699_a_nat > (set_b > set_Pr4934435412358123699_a_nat) > set_b > set_b > set_b). 1.25/1.46 thf(decl_359, type, esk101_4: set_b > (set_Pr4934435412358123699_a_nat > set_b) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_360, type, esk102_4: set_b > (set_Pr4934435412358123699_a_nat > set_b) > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.46 thf(decl_361, type, esk103_1: (nat > nat > $o) > nat). 1.25/1.46 thf(decl_362, type, esk104_1: (nat > nat > $o) > nat). 1.25/1.46 thf(decl_363, type, esk105_1: (nat > nat > $o) > nat). 1.25/1.46 thf(decl_364, type, esk106_1: (nat > nat > $o) > nat). 1.25/1.46 thf(decl_365, type, esk107_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_366, type, esk108_1: (produc357393685978478089rm_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_367, type, esk109_1: (produc357393685978478089rm_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_368, type, esk110_1: (product_prod_a_nat > $o) > a). 1.25/1.46 thf(decl_369, type, esk111_1: (product_prod_a_nat > $o) > nat). 1.25/1.46 thf(decl_370, type, esk112_1: produc357393685978478089rm_a_b > term_a_b). 1.25/1.46 thf(decl_371, type, esk113_1: produc357393685978478089rm_a_b > term_a_b). 1.25/1.46 thf(decl_372, type, esk114_1: product_prod_a_nat > a). 1.25/1.46 thf(decl_373, type, esk115_1: product_prod_a_nat > nat). 1.25/1.46 thf(decl_374, type, esk116_1: produc357393685978478089rm_a_b > term_a_b). 1.25/1.46 thf(decl_375, type, esk117_1: produc357393685978478089rm_a_b > term_a_b). 1.25/1.46 thf(decl_376, type, esk118_1: product_prod_a_nat > a). 1.25/1.46 thf(decl_377, type, esk119_1: product_prod_a_nat > nat). 1.25/1.46 thf(decl_378, type, esk120_2: (product_prod_a_nat > $o) > (product_prod_a_nat > $o) > product_prod_a_nat). 1.25/1.46 thf(decl_379, type, esk121_2: (b > $o) > (b > $o) > b). 1.25/1.46 thf(decl_380, type, esk122_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_381, type, esk123_2: (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_382, type, esk124_2: (product_prod_a_nat > $o) > (product_prod_a_nat > $o) > product_prod_a_nat). 1.25/1.46 thf(decl_383, type, esk125_2: (b > $o) > (b > $o) > b). 1.25/1.46 thf(decl_384, type, esk126_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b). 1.25/1.46 thf(decl_385, type, esk127_2: (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_386, type, esk128_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_387, type, esk129_2: set_b > set_b > b). 1.25/1.46 thf(decl_388, type, esk130_2: set_term_a_b > set_term_a_b > term_a_b). 1.25/1.46 thf(decl_389, type, esk131_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_390, type, esk132_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_391, type, esk133_2: set_b > set_b > b). 1.25/1.46 thf(decl_392, type, esk134_2: set_term_a_b > set_term_a_b > term_a_b). 1.25/1.46 thf(decl_393, type, esk135_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_394, type, esk136_5: term_a_b > term_a_b > set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > (b > term_a_b) > b). 1.25/1.46 thf(decl_395, type, esk137_2: produc357393685978478089rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_396, type, esk138_2: product_prod_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_397, type, esk139_2: b > set_Product_prod_b_b > b). 1.25/1.46 thf(decl_398, type, esk140_2: term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_399, type, esk141_2: produc357393685978478089rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.46 thf(decl_400, type, esk142_2: product_prod_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.46 thf(decl_401, type, esk143_2: b > set_Product_prod_b_b > b). 1.25/1.46 thf(decl_402, type, esk144_2: term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_403, type, esk145_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_404, type, esk146_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > b > term_a_b). 1.25/1.46 thf(decl_405, type, esk147_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_406, type, esk148_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_407, type, esk149_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > subterm_and_ctxt_a_b). 1.25/1.46 thf(decl_408, type, esk150_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_409, type, esk151_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_410, type, esk152_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > b > term_a_b). 1.25/1.46 thf(decl_411, type, esk153_4: set_a > set_a > (a > set_nat) > (a > set_nat) > a). 1.25/1.46 thf(decl_412, type, esk154_4: set_b > set_b > (b > set_b) > (b > set_b) > b). 1.25/1.46 thf(decl_413, type, esk155_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_b) > (product_prod_a_nat > set_b) > product_prod_a_nat). 1.25/1.46 thf(decl_414, type, esk156_4: set_b > set_b > (b > set_Pr4934435412358123699_a_nat) > (b > set_Pr4934435412358123699_a_nat) > b). 1.25/1.46 thf(decl_415, type, esk157_4: set_b > set_b > (b > set_term_a_b) > (b > set_term_a_b) > b). 1.25/1.46 thf(decl_416, type, esk158_4: set_term_a_b > set_term_a_b > (term_a_b > set_b) > (term_a_b > set_b) > term_a_b). 1.25/1.46 thf(decl_417, type, esk159_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_Pr4934435412358123699_a_nat) > (product_prod_a_nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat). 1.25/1.46 thf(decl_418, type, esk160_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_term_a_b) > (product_prod_a_nat > set_term_a_b) > product_prod_a_nat). 1.25/1.46 thf(decl_419, type, esk161_4: set_term_a_b > set_term_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > (term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.46 thf(decl_420, type, esk162_4: set_term_a_b > set_term_a_b > (term_a_b > set_term_a_b) > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.46 thf(decl_421, type, esk163_2: (nat > $o) > nat > nat). 1.25/1.46 thf(decl_422, type, esk164_1: (nat > $o) > nat). 1.25/1.46 thf(decl_423, type, esk165_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_424, type, esk166_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.46 thf(decl_425, type, esk167_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > a). 1.25/1.46 thf(decl_426, type, esk168_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > nat). 1.25/1.46 thf(decl_427, type, esk169_4: set_term_a_b > set_term_a_b > (term_a_b > set_term_a_b) > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.46 thf(decl_428, type, esk170_3: product_prod_b_b > set_b > (b > set_b) > b). 1.25/1.46 thf(decl_429, type, esk171_3: product_prod_b_b > set_b > (b > set_b) > b). 1.25/1.46 thf(decl_430, type, esk172_3: product_prod_a_nat > set_a > (a > set_nat) > a). 1.25/1.46 thf(decl_431, type, esk173_3: product_prod_a_nat > set_a > (a > set_nat) > nat). 1.25/1.46 thf(decl_432, type, esk174_3: produc6510227487322075744_a_b_b > set_term_a_b > (term_a_b > set_b) > term_a_b). 1.25/1.46 thf(decl_433, type, esk175_3: produc6510227487322075744_a_b_b > set_term_a_b > (term_a_b > set_b) > b). 1.25/1.46 thf(decl_434, type, esk176_3: produc2885016591912173239_nat_b > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_b) > product_prod_a_nat). 1.25/1.46 thf(decl_435, type, esk177_3: produc2885016591912173239_nat_b > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_b) > b). 1.25/1.46 thf(decl_436, type, esk178_3: produc6551080308567045442rm_a_b > set_b > (b > set_term_a_b) > b). 1.25/1.46 thf(decl_437, type, esk179_3: produc6551080308567045442rm_a_b > set_b > (b > set_term_a_b) > term_a_b). 1.25/1.46 thf(decl_438, type, esk180_3: produc3491864156559197099_a_nat > set_b > (b > set_Pr4934435412358123699_a_nat) > b). 1.25/1.46 thf(decl_439, type, esk181_3: produc3491864156559197099_a_nat > set_b > (b > set_Pr4934435412358123699_a_nat) > product_prod_a_nat). 1.25/1.46 thf(decl_440, type, esk182_3: produc5781992300264797426_a_nat > set_term_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.46 thf(decl_441, type, esk183_3: produc5781992300264797426_a_nat > set_term_a_b > (term_a_b > set_Pr4934435412358123699_a_nat) > product_prod_a_nat). 1.25/1.47 thf(decl_442, type, esk184_3: produc3105026996248004978rm_a_b > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_term_a_b) > product_prod_a_nat). 1.25/1.47 thf(decl_443, type, esk185_3: produc3105026996248004978rm_a_b > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_444, type, esk186_3: produc4708774622424448987_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat). 1.25/1.47 thf(decl_445, type, esk187_3: produc4708774622424448987_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat). 1.25/1.47 thf(decl_446, type, esk188_3: produc357393685978478089rm_a_b > set_term_a_b > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_447, type, esk189_3: produc357393685978478089rm_a_b > set_term_a_b > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_448, type, esk190_4: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > (product_prod_a_nat > $o) > (product_prod_a_nat > $o) > product_prod_a_nat). 1.25/1.47 thf(decl_449, type, esk191_4: set_b > set_b > (b > $o) > (b > $o) > b). 1.25/1.47 thf(decl_450, type, esk192_4: set_term_a_b > set_term_a_b > (term_a_b > $o) > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_451, type, esk193_4: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_452, type, esk194_2: term_a7872195449889686814rm_a_b > (produc357393685978478089rm_a_b > term_a_b) > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_453, type, esk195_2: term_a_term_a_b > (term_a_b > term_a_b) > term_a_b). 1.25/1.47 thf(decl_454, type, esk196_2: term_a4869312137600358462_a_nat > (product_prod_a_nat > term_a_b) > product_prod_a_nat). 1.25/1.47 thf(decl_455, type, esk197_2: term_a_b > (b > term_a_b) > b). 1.25/1.47 thf(decl_456, type, esk198_2: (b > term_a_b) > (b > term_a_b) > term_a_b). 1.25/1.47 thf(decl_457, type, esk199_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_458, type, esk200_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_459, type, esk201_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_460, type, esk202_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_461, type, esk203_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_462, type, esk204_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_463, type, esk205_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_464, type, esk206_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_465, type, esk207_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_466, type, esk208_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_467, type, esk209_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_468, type, esk210_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_469, type, esk211_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_470, type, esk212_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_471, type, esk213_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_472, type, esk214_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_473, type, esk215_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_474, type, esk216_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_475, type, esk217_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_476, type, esk218_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_477, type, esk219_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_478, type, esk220_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_479, type, esk221_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_480, type, esk222_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_481, type, esk223_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_482, type, esk224_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_483, type, esk225_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_484, type, esk226_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_485, type, esk227_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_486, type, esk228_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_487, type, esk229_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_488, type, esk230_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_489, type, esk231_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_490, type, esk232_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_491, type, esk233_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_492, type, esk234_3: term_a_b > (b > term_a_b) > (b > term_a_b) > b). 1.25/1.47 thf(decl_493, type, esk235_3: term_a_b > (b > term_a_b) > (b > term_a_b) > b). 1.25/1.47 thf(decl_494, type, esk236_4: term_a_b > a > subterm_and_ctxt_a_b > term_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_495, type, esk237_4: term_a_b > a > subterm_and_ctxt_a_b > term_a_b > b > term_a_b). 1.25/1.47 thf(decl_496, type, esk238_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_497, type, esk239_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_498, type, esk240_5: term_a_b > term_a_b > set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > (b > term_a_b) > b). 1.25/1.47 thf(decl_499, type, esk241_5: term_a_b > term_a_b > set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > (b > term_a_b) > b). 1.25/1.47 thf(decl_500, type, esk242_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_501, type, esk243_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_502, type, esk244_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_503, type, esk245_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_504, type, esk246_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_505, type, esk247_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_506, type, esk248_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_507, type, esk249_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_508, type, esk250_5: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > term_a_b). 1.25/1.47 thf(decl_509, type, esk251_5: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > term_a_b). 1.25/1.47 thf(decl_510, type, esk252_5: a > nat > a > nat > set_Pr1811044260758604347_a_nat > a). 1.25/1.47 thf(decl_511, type, esk253_5: a > nat > a > nat > set_Pr1811044260758604347_a_nat > nat). 1.25/1.47 thf(decl_512, type, esk254_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_513, type, esk255_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_514, type, esk256_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_515, type, esk257_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_516, type, esk258_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_517, type, esk259_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_518, type, esk260_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_519, type, esk261_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_520, type, esk262_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_521, type, esk263_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_522, type, esk264_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_523, type, esk265_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_524, type, esk266_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_525, type, esk267_6: term_a_b > term_a_b > term_a_b > term_a_b > set_Pr2972776593051762503rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_526, type, esk268_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_527, type, esk269_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_528, type, esk270_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_529, type, esk271_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_530, type, esk272_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_531, type, esk273_6: a > nat > a > nat > set_Pr1811044260758604347_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_532, type, esk274_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_533, type, esk275_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_534, type, esk276_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_535, type, esk277_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_536, type, esk278_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_537, type, esk279_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_538, type, esk280_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_539, type, esk281_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_540, type, esk282_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_541, type, esk283_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_542, type, esk284_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_543, type, esk285_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_544, type, esk286_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_545, type, esk287_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_546, type, esk288_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_547, type, esk289_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_548, type, esk290_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_549, type, esk291_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_550, type, esk292_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_551, type, esk293_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_552, type, esk294_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_553, type, esk295_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_554, type, esk296_1: set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_555, type, esk297_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_556, type, esk298_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_557, type, esk299_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_558, type, esk300_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_559, type, esk301_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_560, type, esk302_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_561, type, esk303_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_562, type, esk304_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_563, type, esk305_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_564, type, esk306_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_565, type, esk307_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_566, type, esk308_6: term_a_b > term_a_b > set_Pr4934435412358123699_a_nat > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > (b > term_a_b) > b). 1.25/1.47 thf(decl_567, type, esk309_2: produc357393685978478089rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_568, type, esk310_2: produc357393685978478089rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_569, type, esk311_2: product_prod_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_570, type, esk312_2: product_prod_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_571, type, esk313_2: set_Pr4386577575007340137rm_a_b > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_572, type, esk314_2: set_term_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_573, type, esk315_2: set_Pr4934435412358123699_a_nat > (product_prod_a_nat > $o) > product_prod_a_nat). 1.25/1.47 thf(decl_574, type, esk316_2: set_b > (b > $o) > b). 1.25/1.47 thf(decl_575, type, esk317_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_576, type, esk318_4: a > nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_577, type, esk319_4: a > nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_578, type, esk320_3: produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_579, type, esk321_3: produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_580, type, esk322_3: produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_581, type, esk323_3: product_prod_a_nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_582, type, esk324_3: product_prod_a_nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_583, type, esk325_3: product_prod_a_nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > nat). 1.25/1.47 thf(decl_584, type, esk326_3: product_prod_a_nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > a). 1.25/1.47 thf(decl_585, type, esk327_3: product_prod_a_nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_586, type, esk328_3: product_prod_a_nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_587, type, esk329_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_588, type, esk330_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_589, type, esk331_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_590, type, esk332_4: a > nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_591, type, esk333_4: a > nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_592, type, esk334_4: a > nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > nat). 1.25/1.47 thf(decl_593, type, esk335_4: a > nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > a). 1.25/1.47 thf(decl_594, type, esk336_4: a > nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_595, type, esk337_4: a > nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_596, type, esk338_4: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_597, type, esk339_4: a > nat > set_Product_prod_a_a > set_Pr4934435412358123699_a_nat > a). 1.25/1.47 thf(decl_598, type, esk340_4: a > nat > set_Pr4934435412358123699_a_nat > set_Pr1261947904930325089at_nat > nat). 1.25/1.47 thf(decl_599, type, esk341_2: (term_a_b > term_a_b > $o) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_600, type, esk342_2: (term_a_b > term_a_b > $o) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_601, type, esk343_2: (a > nat > $o) > product_prod_a_nat > a). 1.25/1.47 thf(decl_602, type, esk344_2: (a > nat > $o) > product_prod_a_nat > nat). 1.25/1.47 thf(decl_603, type, esk345_4: (term_a_b > $o) > (set_Pr4386577575007340137rm_a_b > $o) > (term_a_b > term_a_b) > (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.47 thf(decl_604, type, esk346_4: (term_a_b > $o) > (set_Pr4386577575007340137rm_a_b > $o) > (term_a_b > term_a_b) > (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.47 thf(decl_605, type, esk347_4: (term_a_b > $o) > (set_Pr4386577575007340137rm_a_b > $o) > (term_a_b > term_a_b) > (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_606, type, esk348_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_607, type, esk349_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_608, type, esk350_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_609, type, esk351_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_610, type, esk352_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_611, type, esk353_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_612, type, esk354_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_613, type, esk355_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_614, type, esk356_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_615, type, esk357_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_616, type, esk358_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_617, type, esk359_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_618, type, esk360_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_619, type, esk361_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_620, type, esk362_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_621, type, esk363_3: set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b) > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_622, type, esk364_3: set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b) > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_623, type, esk365_2: set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_624, type, esk366_2: set_Pr4386577575007340137rm_a_b > (term_a_b > term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_625, type, esk367_2: set_Pr4934435412358123699_a_nat > (a > nat > $o) > a). 1.25/1.47 thf(decl_626, type, esk368_2: set_Pr4934435412358123699_a_nat > (a > nat > $o) > nat). 1.25/1.47 thf(decl_627, type, esk369_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_628, type, esk370_3: produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > (term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.47 thf(decl_629, type, esk371_3: produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > (term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b) > term_a_b). 1.25/1.47 thf(decl_630, type, esk372_3: produc357393685978478089rm_a_b > term_a_b > (term_a_b > term_a_b > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_631, type, esk373_3: produc357393685978478089rm_a_b > term_a_b > (term_a_b > term_a_b > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_632, type, esk374_3: produc357393685978478089rm_a_b > product_prod_a_nat > (term_a_b > term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.47 thf(decl_633, type, esk375_3: produc357393685978478089rm_a_b > product_prod_a_nat > (term_a_b > term_a_b > set_Pr4934435412358123699_a_nat) > term_a_b). 1.25/1.47 thf(decl_634, type, esk376_3: produc357393685978478089rm_a_b > b > (term_a_b > term_a_b > set_b) > term_a_b). 1.25/1.47 thf(decl_635, type, esk377_3: produc357393685978478089rm_a_b > b > (term_a_b > term_a_b > set_b) > term_a_b). 1.25/1.47 thf(decl_636, type, esk378_3: product_prod_a_nat > produc357393685978478089rm_a_b > (a > nat > set_Pr4386577575007340137rm_a_b) > a). 1.25/1.47 thf(decl_637, type, esk379_3: product_prod_a_nat > produc357393685978478089rm_a_b > (a > nat > set_Pr4386577575007340137rm_a_b) > nat). 1.25/1.47 thf(decl_638, type, esk380_3: product_prod_a_nat > term_a_b > (a > nat > set_term_a_b) > a). 1.25/1.47 thf(decl_639, type, esk381_3: product_prod_a_nat > term_a_b > (a > nat > set_term_a_b) > nat). 1.25/1.47 thf(decl_640, type, esk382_3: product_prod_a_nat > product_prod_a_nat > (a > nat > set_Pr4934435412358123699_a_nat) > a). 1.25/1.47 thf(decl_641, type, esk383_3: product_prod_a_nat > product_prod_a_nat > (a > nat > set_Pr4934435412358123699_a_nat) > nat). 1.25/1.47 thf(decl_642, type, esk384_3: product_prod_a_nat > b > (a > nat > set_b) > a). 1.25/1.47 thf(decl_643, type, esk385_3: product_prod_a_nat > b > (a > nat > set_b) > nat). 1.25/1.47 thf(decl_644, type, esk386_3: produc357393685978478089rm_a_b > (term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_645, type, esk387_3: produc357393685978478089rm_a_b > (term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_646, type, esk388_3: term_a_b > (term_a_b > term_a_b > set_term_a_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_647, type, esk389_3: term_a_b > (term_a_b > term_a_b > set_term_a_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_648, type, esk390_3: product_prod_a_nat > (term_a_b > term_a_b > set_Pr4934435412358123699_a_nat) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_649, type, esk391_3: product_prod_a_nat > (term_a_b > term_a_b > set_Pr4934435412358123699_a_nat) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_650, type, esk392_3: b > (term_a_b > term_a_b > set_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_651, type, esk393_3: b > (term_a_b > term_a_b > set_b) > produc357393685978478089rm_a_b > term_a_b). 1.25/1.47 thf(decl_652, type, esk394_3: produc357393685978478089rm_a_b > (a > nat > set_Pr4386577575007340137rm_a_b) > product_prod_a_nat > a). 1.25/1.47 thf(decl_653, type, esk395_3: produc357393685978478089rm_a_b > (a > nat > set_Pr4386577575007340137rm_a_b) > product_prod_a_nat > nat). 1.25/1.47 thf(decl_654, type, esk396_3: term_a_b > (a > nat > set_term_a_b) > product_prod_a_nat > a). 1.25/1.47 thf(decl_655, type, esk397_3: term_a_b > (a > nat > set_term_a_b) > product_prod_a_nat > nat). 1.25/1.47 thf(decl_656, type, esk398_3: product_prod_a_nat > (a > nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat > a). 1.25/1.47 thf(decl_657, type, esk399_3: product_prod_a_nat > (a > nat > set_Pr4934435412358123699_a_nat) > product_prod_a_nat > nat). 1.25/1.47 thf(decl_658, type, esk400_3: b > (a > nat > set_b) > product_prod_a_nat > a). 1.25/1.47 thf(decl_659, type, esk401_3: b > (a > nat > set_b) > product_prod_a_nat > nat). 1.25/1.47 thf(decl_660, type, esk402_6: a > set_Pr4386577575007340137rm_a_b > term_a_b > term_a_b > term_a_b > list_nat > list_nat). 1.25/1.47 thf(decl_661, type, esk403_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_662, type, esk404_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_663, type, esk405_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_664, type, esk406_2: a > set_Pr4386577575007340137rm_a_b > list_nat). 1.25/1.47 thf(decl_665, type, esk407_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_666, type, esk408_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_667, type, esk409_2: a > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_668, type, esk410_2: a > set_Pr4386577575007340137rm_a_b > list_nat). 1.25/1.47 thf(decl_669, type, esk411_6: a > set_Pr4386577575007340137rm_a_b > list_nat > term_a_b > term_a_b > term_a_b > list_nat). 1.25/1.47 thf(decl_670, type, esk412_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_671, type, esk413_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_672, type, esk414_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > b > term_a_b). 1.25/1.47 thf(decl_673, type, esk415_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_674, type, esk416_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_675, type, esk417_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > b > term_a_b). 1.25/1.47 thf(decl_676, type, esk418_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_677, type, esk419_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_678, type, esk420_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > b > term_a_b). 1.25/1.47 thf(decl_679, type, esk421_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_680, type, esk422_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_681, type, esk423_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_682, type, esk424_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_683, type, esk425_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_684, type, esk426_3: term_a_b > term_a_b > set_Pr4386577575007340137rm_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_685, type, esk427_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_686, type, esk428_6: set_Pr4386577575007340137rm_a_b > a > list_nat > term_a_b > term_a_b > term_a_b > list_nat). 1.25/1.47 thf(decl_687, type, esk429_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_688, type, esk430_6: set_Pr4386577575007340137rm_a_b > a > list_nat > term_a_b > term_a_b > term_a_b > list_nat). 1.25/1.47 thf(decl_689, type, esk431_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_690, type, esk432_1: set_term_a_b > term_a_b). 1.25/1.47 thf(decl_691, type, esk433_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_692, type, esk434_1: set_b > b). 1.25/1.47 thf(decl_693, type, esk435_1: (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_694, type, esk436_1: (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_695, type, esk437_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_696, type, esk438_1: set_term_a_b > term_a_b). 1.25/1.47 thf(decl_697, type, esk439_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_698, type, esk440_1: set_b > b). 1.25/1.47 thf(decl_699, type, esk441_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_700, type, esk442_1: set_term_a_b > term_a_b). 1.25/1.47 thf(decl_701, type, esk443_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_702, type, esk444_1: set_b > b). 1.25/1.47 thf(decl_703, type, esk445_2: set_term_a_b > (term_a_b > set_term_a_b) > term_a_b). 1.25/1.47 thf(decl_704, type, esk446_2: set_term_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_705, type, esk447_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_706, type, esk448_2: set_b > set_b > b). 1.25/1.47 thf(decl_707, type, esk449_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_708, type, esk450_2: set_term_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_709, type, esk451_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_710, type, esk452_2: set_b > set_b > b). 1.25/1.47 thf(decl_711, type, esk453_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_712, type, esk454_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_713, type, esk455_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_714, type, esk456_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_715, type, esk457_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_716, type, esk458_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > b > term_a_b). 1.25/1.47 thf(decl_717, type, esk459_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_718, type, esk460_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_719, type, esk461_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > b > term_a_b). 1.25/1.47 thf(decl_720, type, esk462_2: term_a_b > term_a_b > b > term_a_b). 1.25/1.47 thf(decl_721, type, esk463_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_722, type, esk464_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_723, type, esk465_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_724, type, esk466_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_725, type, esk467_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_726, type, esk468_3: (term_a_b > term_a_b > $o) > term_a_b > term_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_727, type, esk469_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_728, type, esk470_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_729, type, esk471_1: set_b > b). 1.25/1.47 thf(decl_730, type, esk472_1: set_term_a_b > term_a_b). 1.25/1.47 thf(decl_731, type, esk473_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_732, type, esk474_2: term_a_b > term_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_733, type, esk475_2: term_a_b > term_a_b > subterm_and_ctxt_a_b). 1.25/1.47 thf(decl_734, type, esk476_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_735, type, esk477_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_736, type, esk478_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_737, type, esk479_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_738, type, esk480_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_739, type, esk481_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_740, type, esk482_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_741, type, esk483_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_742, type, esk484_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_743, type, esk485_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_744, type, esk486_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_745, type, esk487_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_746, type, esk488_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_747, type, esk489_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_748, type, esk490_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_749, type, esk491_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_750, type, esk492_2: (term_a_b > $o) > term_a_b > term_a_b). 1.25/1.47 thf(decl_751, type, esk493_3: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_752, type, esk494_3: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_753, type, esk495_3: set_Product_prod_b_b > set_b > b > b). 1.25/1.47 thf(decl_754, type, esk496_3: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_755, type, esk497_3: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_756, type, esk498_3: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_757, type, esk499_3: set_Product_prod_b_b > set_b > b > b). 1.25/1.47 thf(decl_758, type, esk500_3: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_759, type, esk501_3: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b > term_a_b). 1.25/1.47 thf(decl_760, type, esk502_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_761, type, esk503_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_762, type, esk504_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_763, type, esk505_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_764, type, esk506_2: (term_a_b > $o) > term_a_b > term_a_b). 1.25/1.47 thf(decl_765, type, esk507_3: (term_a_b > $o) > term_a_b > (term_a_b > $o) > term_a_b). 1.25/1.47 thf(decl_766, type, esk508_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_767, type, esk509_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_768, type, esk510_2: set_Pr4386577575007340137rm_a_b > set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b). 1.25/1.47 thf(decl_769, type, esk511_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_770, type, esk512_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_771, type, esk513_2: set_Pr4934435412358123699_a_nat > set_Pr1811044260758604347_a_nat > product_prod_a_nat). 1.25/1.47 thf(decl_772, type, esk514_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_773, type, esk515_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_774, type, esk516_2: set_b > set_Product_prod_b_b > b). 1.25/1.47 thf(decl_775, type, esk517_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_776, type, esk518_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_777, type, esk519_2: set_term_a_b > set_Pr4386577575007340137rm_a_b > term_a_b). 1.25/1.47 thf(decl_778, type, esk520_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_779, type, esk521_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_780, type, esk522_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b). 1.25/1.47 thf(decl_781, type, esk523_3: list_nat > a > term_a_b > list_nat). 1.25/1.47 thf(decl_782, type, esk524_3: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_783, type, esk525_3: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_784, type, esk526_3: set_b > set_b > set_b > set_b). 1.25/1.47 thf(decl_785, type, esk527_3: set_b > set_b > set_b > set_b). 1.25/1.47 thf(decl_786, type, esk528_3: set_term_a_b > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.47 thf(decl_787, type, esk529_3: set_term_a_b > set_term_a_b > set_term_a_b > set_term_a_b). 1.25/1.47 thf(decl_788, type, esk530_3: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_789, type, esk531_3: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_790, type, esk532_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_791, type, esk533_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_792, type, esk534_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_793, type, esk535_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_794, type, esk536_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_795, type, esk537_0: set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_796, type, esk538_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_797, type, esk539_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_798, type, esk540_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_799, type, esk541_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_800, type, esk542_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_801, type, esk543_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_802, type, esk544_1: (set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat) > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_803, type, esk545_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_804, type, esk546_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_805, type, esk547_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_806, type, esk548_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_807, type, esk549_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_808, type, esk550_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_809, type, esk551_1: (nat > nat > nat) > nat). 1.25/1.47 thf(decl_810, type, esk552_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_811, type, esk553_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_812, type, esk554_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_813, type, esk555_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_814, type, esk556_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_815, type, esk557_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_816, type, esk558_1: (set_b > set_b > set_b) > set_b). 1.25/1.47 thf(decl_817, type, esk559_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_818, type, esk560_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_819, type, esk561_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_820, type, esk562_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_821, type, esk563_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_822, type, esk564_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_823, type, esk565_1: (set_term_a_b > set_term_a_b > set_term_a_b) > set_term_a_b). 1.25/1.47 thf(decl_824, type, esk566_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_825, type, esk567_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_826, type, esk568_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_827, type, esk569_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_828, type, esk570_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_829, type, esk571_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_830, type, esk572_1: (set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b) > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_831, type, esk573_2: (nat > $o) > nat > nat). 1.25/1.47 thf(decl_832, type, esk574_1: (nat > $o) > nat). 1.25/1.47 thf(decl_833, type, epred1_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_834, type, epred2_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_835, type, epred3_1: set_b > b > $o). 1.25/1.47 thf(decl_836, type, epred4_1: set_term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_837, type, esk575_0: b > term_a_b). 1.25/1.47 thf(decl_838, type, esk576_0: b > term_a_b). 1.25/1.47 thf(decl_839, type, esk577_0: term_a_b > set_term_a_b). 1.25/1.47 thf(decl_840, type, esk578_1: set_term_a_b > term_a_b > set_term_a_b). 1.25/1.47 thf(decl_841, type, epred5_2: (product_prod_a_nat > $o) > set_Pr4934435412358123699_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_842, type, epred6_2: (b > $o) > set_b > b > $o). 1.25/1.47 thf(decl_843, type, epred7_2: (term_a_b > $o) > set_term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_844, type, epred8_2: (produc357393685978478089rm_a_b > $o) > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_845, type, epred9_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_846, type, epred10_2: set_b > set_b > b > $o). 1.25/1.47 thf(decl_847, type, epred11_2: set_term_a_b > set_term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_848, type, epred12_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_849, type, epred13_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b > $o). 1.25/1.47 thf(decl_850, type, epred14_2: (produc357393685978478089rm_a_b > $o) > (produc357393685978478089rm_a_b > $o) > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_851, type, esk579_1: set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > set_Pr4386577575007340137rm_a_b). 1.25/1.47 thf(decl_852, type, esk580_2: (term_a_b > set_term_a_b) > (term_a_b > set_term_a_b) > term_a_b > set_term_a_b). 1.25/1.47 thf(decl_853, type, esk581_1: set_b > b > set_b). 1.25/1.47 thf(decl_854, type, esk582_1: set_nat > a > set_nat). 1.25/1.47 thf(decl_855, type, esk583_1: set_b > product_prod_a_nat > set_b). 1.25/1.47 thf(decl_856, type, esk584_1: set_term_a_b > b > set_term_a_b). 1.25/1.47 thf(decl_857, type, esk585_1: set_Pr4934435412358123699_a_nat > b > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_858, type, esk586_1: set_b > term_a_b > set_b). 1.25/1.47 thf(decl_859, type, esk587_1: set_term_a_b > product_prod_a_nat > set_term_a_b). 1.25/1.47 thf(decl_860, type, esk588_1: set_Pr4934435412358123699_a_nat > product_prod_a_nat > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_861, type, esk589_1: set_Pr4934435412358123699_a_nat > term_a_b > set_Pr4934435412358123699_a_nat). 1.25/1.47 thf(decl_862, type, epred15_1: set_Pr4934435412358123699_a_nat > a > nat > $o). 1.25/1.47 thf(decl_863, type, epred16_1: set_Pr4386577575007340137rm_a_b > term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_864, type, epred17_1: set_Pr4934435412358123699_a_nat > term_a_b > $o). 1.25/1.47 thf(decl_865, type, esk590_1: a > b > term_a_b). 1.25/1.47 thf(decl_866, type, epred18_0: term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_867, type, epred19_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_868, type, esk591_3: (b > term_a_b) > set_Pr4934435412358123699_a_nat > b > b > term_a_b). 1.25/1.47 thf(decl_869, type, epred20_2: (term_a_b > term_a_b > $o) > (term_a_b > $o) > term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_870, type, esk592_1: (term_a_b > term_a_b > $o) > term_a_b > set_term_a_b). 1.25/1.47 thf(decl_871, type, esk593_1: set_a > a > set_a). 1.25/1.47 thf(decl_872, type, esk594_1: set_nat > nat > set_nat). 1.25/1.47 thf(decl_873, type, epred21_2: set_Pr2972776593051762503rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_874, type, epred22_2: set_Pr1811044260758604347_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_875, type, epred23_2: set_Product_prod_b_b > set_b > b > b > $o). 1.25/1.47 thf(decl_876, type, epred24_2: set_Pr4386577575007340137rm_a_b > set_term_a_b > term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_877, type, epred25_0: term_a_b > $o). 1.25/1.47 thf(decl_878, type, epred26_0: term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_879, type, epred27_1: set_Pr2972776593051762503rm_a_b > produc357393685978478089rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_880, type, epred28_1: set_Pr1811044260758604347_a_nat > product_prod_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_881, type, epred29_1: set_Product_prod_b_b > b > b > $o). 1.25/1.47 thf(decl_882, type, epred30_1: set_Pr4386577575007340137rm_a_b > term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_883, type, epred31_0: term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_884, type, esk595_2: (term_a_b > set_term_a_b) > (term_a_b > set_term_a_b) > term_a_b > set_term_a_b). 1.25/1.47 thf(decl_885, type, epred32_2: set_Pr4386577575007340137rm_a_b > set_Pr4386577575007340137rm_a_b > produc357393685978478089rm_a_b > $o). 1.25/1.47 thf(decl_886, type, epred33_2: set_Pr4934435412358123699_a_nat > set_Pr4934435412358123699_a_nat > product_prod_a_nat > $o). 1.25/1.47 thf(decl_887, type, epred34_2: set_b > set_b > b > $o). 1.25/1.47 thf(decl_888, type, epred35_2: set_term_a_b > set_term_a_b > term_a_b > $o). 1.25/1.47 thf(decl_889, type, epred36_2: (term_a_b > $o) > (term_a_b > $o) > term_a_b > $o). 1.25/1.47 thf(decl_890, type, esk596_0: b). 1.25/1.47 thf(fact_275__092_060open_062_ID_092_060langle_062l_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_M_AD_092_060langle_062r_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_J_A_092_060in_062_ARestr_A_Isrstep_A_092_060H_062_A_092_060R_062_J_A_ICollect_Aground_J_092_060close_062, axiom, (member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ (^[X743:b]:(if_term_a_b @ ((member_b @ X743 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ X743) @ (^[X744:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b))))) @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ r2 @ (^[X745:b]:(if_term_a_b @ ((member_b @ X745 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ X745) @ (^[X746:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b)))))) @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ (^[X747:term_a_b]:(collect_term_a_b @ term_ground_a_b))))), file('/export/starexec/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069', fact_275__092_060open_062_ID_092_060langle_062l_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_M_AD_092_060langle_062r_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_J_A_092_060in_062_ARestr_A_Isrstep_A_092_060H_062_A_092_060R_062_J_A_ICollect_Aground_J_092_060close_062)). 1.25/1.47 thf(fact_301_s, axiom, ((subst_7999470309526761004_a_b_b @ s @ (^[X825:b]:(fun_a_b @ c2 @ nil_term_a_b)))=(subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ (^[X826:b]:(if_term_a_b @ ((member_b @ X826 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ X826) @ (^[X827:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b)))))), file('/export/starexec/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069', fact_301_s)). 1.25/1.47 thf(fact_358_Int__commute, axiom, ((inf_in1693821330460682071rm_a_b)=(^[X1009:set_Pr4386577575007340137rm_a_b, X1010:set_Pr4386577575007340137rm_a_b]:(inf_in1693821330460682071rm_a_b @ X1010 @ X1009))), file('/export/starexec/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069', fact_358_Int__commute)). 1.25/1.47 thf(fact_297_nf__f_I4_J, axiom, (member_term_a_b @ (subst_7999470309526761004_a_b_b @ s @ (^[X818:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (abstract_NF_term_a_b @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ (^[X747:term_a_b]:(collect_term_a_b @ term_ground_a_b)))))), file('/export/starexec/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069', fact_297_nf__f_I4_J)). 1.25/1.47 thf(fact_232_NF__E, axiom, ![X27:term_a_b, X1:set_Pr4386577575007340137rm_a_b, X28:term_a_b]:(((member_term_a_b @ X27 @ (abstract_NF_term_a_b @ X1))=>~((member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ X27 @ X28) @ X1)))), file('/export/starexec/sandbox/tmp/tmp.14IIJU9USF/Vampire---4.8_16069', fact_232_NF__E)). 1.25/1.47 thf(c_0_5, plain, (member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ (^[Z0:b]:(if_term_a_b @ ((member_b @ Z0 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ Z0) @ (^[Z1:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b))))) @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ r2 @ (^[Z0:b]:(if_term_a_b @ ((member_b @ Z0 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ Z0) @ (^[Z1:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b)))))) @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ (^[Z0:term_a_b]:(collect_term_a_b @ term_ground_a_b))))), inference(fof_simplification,[status(thm)],[fact_275__092_060open_062_ID_092_060langle_062l_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_M_AD_092_060langle_062r_A_092_060cdot_062_A_I_092_060lambda_062x_O_Aif_Ax_A_092_060in_062_Avars__term_Al_Athen_A_092_060sigma_062_Ax_A_092_060cdot_062_Aconst__subst_Ac_Aelse_AconstT_Ac_J_092_060rangle_062_J_A_092_060in_062_ARestr_A_Isrstep_A_092_060H_062_A_092_060R_062_J_A_ICollect_Aground_J_092_060close_062])). 1.25/1.47 thf(c_0_6, plain, ![X11634:term_a_b]:(((esk577_0 @ X11634)=(collect_term_a_b @ term_ground_a_b))), introduced(definition)). 1.25/1.47 thf(c_0_7, plain, ![X11631:b]:(((esk576_0 @ X11631)=(if_term_a_b @ ((member_b @ X11631 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ X11631) @ esk575_0) @ (fun_a_b @ c2 @ nil_term_a_b)))), introduced(definition)). 1.25/1.47 thf(c_0_8, plain, ![X11630:b]:(((esk575_0 @ X11630)=(fun_a_b @ c2 @ nil_term_a_b))), introduced(definition)). 1.25/1.47 thf(c_0_9, plain, ((subst_7999470309526761004_a_b_b @ s @ (^[Z0:b]:(fun_a_b @ c2 @ nil_term_a_b)))=(subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ (^[Z0:b]:(if_term_a_b @ ((member_b @ Z0 @ (vars_term_a_b @ l))) @ (subst_7999470309526761004_a_b_b @ (sigma @ Z0) @ (^[Z1:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (fun_a_b @ c2 @ nil_term_a_b)))))), inference(fof_simplification,[status(thm)],[fact_301_s])). 1.25/1.47 thf(c_0_10, plain, ![X7210:set_Pr4386577575007340137rm_a_b, X7211:set_Pr4386577575007340137rm_a_b]:(((inf_in1693821330460682071rm_a_b @ X7210 @ X7211)=(inf_in1693821330460682071rm_a_b @ X7211 @ X7210))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_358_Int__commute])])). 1.25/1.47 thf(c_0_11, plain, (member_term_a_b @ (subst_7999470309526761004_a_b_b @ s @ (^[Z0:b]:(fun_a_b @ c2 @ nil_term_a_b))) @ (abstract_NF_term_a_b @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ (^[Z0:term_a_b]:(collect_term_a_b @ term_ground_a_b)))))), inference(fof_simplification,[status(thm)],[fact_297_nf__f_I4_J])). 1.25/1.47 thf(c_0_12, plain, ![X27:term_a_b, X1:set_Pr4386577575007340137rm_a_b, X28:term_a_b]:(((member_term_a_b @ X27 @ (abstract_NF_term_a_b @ X1))=>~(member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ X27 @ X28) @ X1))), inference(fof_simplification,[status(thm)],[fact_232_NF__E])). 1.25/1.47 thf(c_0_13, plain, (((member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ esk576_0)) @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ r2 @ esk576_0))) @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0))))=(($true))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6]), c_0_7]), c_0_8]), c_0_7]), c_0_8])). 1.25/1.47 thf(c_0_14, plain, ((subst_7999470309526761004_a_b_b @ s @ esk575_0)=(subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ l @ esk576_0))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_7]), c_0_8]), c_0_8])). 1.25/1.47 thf(c_0_15, plain, ![X8549:set_Pr4386577575007340137rm_a_b, X8550:set_Pr4386577575007340137rm_a_b]:(((inf_in1693821330460682071rm_a_b @ X8549 @ X8550)=(inf_in1693821330460682071rm_a_b @ X8550 @ X8549))), inference(variable_rename,[status(thm)],[c_0_10])). 1.25/1.47 thf(c_0_16, plain, (((member_term_a_b @ (subst_7999470309526761004_a_b_b @ s @ esk575_0) @ (abstract_NF_term_a_b @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0)))))=(($true))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11]), c_0_6]), c_0_8])). 1.25/1.47 thf(c_0_17, plain, ![X8138:term_a_b, X8139:set_Pr4386577575007340137rm_a_b, X8140:term_a_b]:((~(member_term_a_b @ X8138 @ (abstract_NF_term_a_b @ X8139))|~(member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ X8138 @ X8140) @ X8139))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])). 1.25/1.47 thf(c_0_18, plain, (member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ (subst_7999470309526761004_a_b_b @ s @ esk575_0) @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ r2 @ esk576_0))) @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_13]), c_0_14])). 1.25/1.47 thf(c_0_19, plain, ![X2:set_Pr4386577575007340137rm_a_b, X1:set_Pr4386577575007340137rm_a_b]:(((inf_in1693821330460682071rm_a_b @ X1 @ X2)=(inf_in1693821330460682071rm_a_b @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 1.25/1.47 thf(c_0_20, plain, (member_term_a_b @ (subst_7999470309526761004_a_b_b @ s @ esk575_0) @ (abstract_NF_term_a_b @ (inf_in1693821330460682071rm_a_b @ (sig_step_a_b @ h @ (rstep_a_b @ r)) @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0)))), inference(cn,[status(thm)],[c_0_16])). 1.25/1.47 thf(c_0_21, plain, ![X19:term_a_b, X6:term_a_b, X1:set_Pr4386577575007340137rm_a_b]:((~((member_term_a_b @ X6 @ (abstract_NF_term_a_b @ X1)))|~((member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ X6 @ X19) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 1.25/1.47 thf(c_0_22, plain, (member5869715511025134514rm_a_b @ (produc7020197800436672577rm_a_b @ (subst_7999470309526761004_a_b_b @ s @ esk575_0) @ (subter2376574525758040790rm_a_b @ d @ (subst_7999470309526761004_a_b_b @ r2 @ esk576_0))) @ (inf_in1693821330460682071rm_a_b @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0) @ (sig_step_a_b @ h @ (rstep_a_b @ r)))), inference(rw,[status(thm)],[c_0_18, c_0_19])). 1.25/1.47 thf(c_0_23, plain, (member_term_a_b @ (subst_7999470309526761004_a_b_b @ s @ esk575_0) @ (abstract_NF_term_a_b @ (inf_in1693821330460682071rm_a_b @ (produc1953217797448512882rm_a_b @ (collect_term_a_b @ term_ground_a_b) @ esk577_0) @ (sig_step_a_b @ h @ (rstep_a_b @ r))))), inference(rw,[status(thm)],[c_0_20, c_0_19])). 1.25/1.47 thf(c_0_24, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['proof']). 1.25/1.47 # SZS output end CNFRefutation 1.25/1.47 # Parsed axioms : 1560 1.25/1.47 # Removed by relevancy pruning/SinE : 0 1.25/1.47 # Initial clauses : 2582 1.25/1.47 # Removed in clause preprocessing : 319 1.25/1.47 # Initial clauses in saturation : 2263 1.25/1.47 # Processed clauses : 2449 1.25/1.47 # ...of these trivial : 100 1.25/1.47 # ...subsumed : 572 1.25/1.47 # ...remaining for further processing : 1777 1.25/1.47 # Other redundant clauses eliminated : 199 1.25/1.47 # Clauses deleted for lack of memory : 0 1.25/1.47 # Backward-subsumed : 0 1.25/1.47 # Backward-rewritten : 2 1.25/1.47 # Generated clauses : 192 1.25/1.47 # ...of the previous two non-redundant : 95 1.25/1.47 # ...aggressively subsumed : 0 1.25/1.47 # Contextual simplify-reflections : 0 1.25/1.47 # Paramodulations : 9 1.25/1.47 # Factorizations : 0 1.25/1.47 # NegExts : 0 1.25/1.47 # Equation resolutions : 199 1.25/1.47 # Propositional unsat checks : 0 1.25/1.47 # Propositional check models : 0 1.25/1.47 # Propositional check unsatisfiable : 0 1.25/1.47 # Propositional clauses : 0 1.25/1.47 # Propositional clauses after purity: 0 1.25/1.47 # Propositional unsat core size : 0 1.25/1.47 # Propositional preprocessing time : 0.000 1.25/1.47 # Propositional encoding time : 0.000 1.25/1.47 # Propositional solver time : 0.000 1.25/1.47 # Success case prop preproc time : 0.000 1.25/1.47 # Success case prop encoding time : 0.000 1.25/1.47 # Success case prop solver time : 0.000 1.25/1.47 # Current number of processed clauses : 96 1.25/1.47 # Positive orientable unit clauses : 62 1.25/1.47 # Positive unorientable unit clauses: 0 1.25/1.47 # Negative unit clauses : 16 1.25/1.47 # Non-unit-clauses : 18 1.25/1.47 # Current number of unprocessed clauses: 1406 1.25/1.47 # ...number of literals in the above : 3679 1.25/1.47 # Current number of archived formulas : 0 1.25/1.47 # Current number of archived clauses : 1499 1.25/1.47 # Clause-clause subsumption calls (NU) : 482639 1.25/1.47 # Rec. Clause-clause subsumption calls : 223647 1.25/1.47 # Non-unit clause-clause subsumptions : 553 1.25/1.47 # Unit Clause-clause subsumption calls : 3193 1.25/1.47 # Rewrite failures with RHS unbound : 0 1.25/1.47 # BW rewrite match attempts : 87 1.25/1.47 # BW rewrite match successes : 19 1.25/1.47 # Condensation attempts : 2449 1.25/1.47 # Condensation successes : 12 1.25/1.47 # Termbank termtop insertions : 220499 1.25/1.47 1.25/1.47 # ------------------------------------------------- 1.25/1.47 # User time : 0.690 s 1.25/1.47 # System time : 0.034 s 1.25/1.47 # Total time : 0.724 s 1.25/1.47 # Maximum resident set size: 16276 pages 1.25/1.47 1.25/1.47 # ------------------------------------------------- 1.25/1.47 # User time : 0.753 s 1.25/1.47 # System time : 0.041 s 1.25/1.47 # Total time : 0.795 s 1.25/1.47 # Maximum resident set size: 5768 pages 1.25/1.47 EOF