0.12/0.34 % Problem : SLH0323^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.35 % Command : run_E %s %d THM 0.34/0.56 % Computer : n027.cluster.edu 0.34/0.56 % Model : x86_64 x86_64 0.34/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.34/0.56 % Memory : 8042.1875MB 0.34/0.56 % OS : Linux 3.10.0-693.el7.x86_64 0.34/0.56 % CPULimit : 30 0.34/0.56 % WCLimit : 30 0.34/0.56 % DateTime : Mon Jul 3 09:25:02 EDT 2023 0.34/0.56 % CPUTime : 0.44/0.69 The problem SPC is TH0_THM_EQU_NAR 0.44/0.69 Running higher-order on 1 cores theorem proving 0.44/0.69 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.mAF8pYCdwr/Vampire---4.8_7074 0.44/0.69 # Version: 3.0pre003-ho 1.65/1.84 # Preprocessing class: HMLMSMSMSSLNHFA. 1.65/1.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.65/1.84 # Starting new_ho_10 with 30s (1) cores 1.65/1.84 # new_ho_10 with pid 7253 completed with status 0 1.65/1.84 # Result found by new_ho_10 1.65/1.84 # Preprocessing class: HMLMSMSMSSLNHFA. 1.65/1.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.65/1.84 # Starting new_ho_10 with 30s (1) cores 1.65/1.84 # No SInE strategy applied 1.65/1.84 # Search class: HGHSM-SMLM32-MHFFFSBN 1.65/1.84 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.65/1.84 # Starting post_as_ho6 with 19s (1) cores 1.65/1.84 # post_as_ho6 with pid 7254 completed with status 0 1.65/1.84 # Result found by post_as_ho6 1.65/1.84 # Preprocessing class: HMLMSMSMSSLNHFA. 1.65/1.84 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.65/1.84 # Starting new_ho_10 with 30s (1) cores 1.65/1.84 # No SInE strategy applied 1.65/1.84 # Search class: HGHSM-SMLM32-MHFFFSBN 1.65/1.84 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.65/1.84 # Starting post_as_ho6 with 19s (1) cores 1.65/1.84 # Preprocessing time : 0.073 s 1.65/1.84 # Presaturation interreduction done 1.65/1.84 1.65/1.84 # Proof found! 1.65/1.84 # SZS status Theorem 1.65/1.84 # SZS output start CNFRefutation 1.65/1.84 thf(decl_22, type, ad_agr_list_a_b: set_a > list_Sum_sum_a_b > list_Sum_sum_a_b > $o). 1.65/1.84 thf(decl_23, type, ad_agr_sets_a_b: set_nat > set_nat > set_a > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > $o). 1.65/1.84 thf(decl_24, type, ad_equiv_list_a_b: set_a > list_Sum_sum_a_b > list_Sum_sum_a_b > $o). 1.65/1.84 thf(decl_25, type, ad_equiv_pair_a_b: set_a > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_26, type, ad_terms_nat: list_fo_term_nat > set_nat). 1.65/1.84 thf(decl_27, type, ad_terms_a: list_fo_term_a > set_a). 1.65/1.84 thf(decl_28, type, all_tuples_fo_term_a: set_fo_term_a > nat > set_list_fo_term_a). 1.65/1.84 thf(decl_29, type, all_tuples_set_a: set_set_a > nat > set_list_set_a). 1.65/1.84 thf(decl_30, type, all_tuples_a: set_a > nat > set_list_a). 1.65/1.84 thf(decl_31, type, eval_eterm_a_b: (nat > sum_sum_a_b) > fo_term_a > sum_sum_a_b). 1.65/1.84 thf(decl_32, type, eval_eterms_a_b: (nat > sum_sum_a_b) > list_fo_term_a > list_Sum_sum_a_b). 1.65/1.84 thf(decl_33, type, eval_table_a_b: list_fo_term_a > set_list_Sum_sum_a_b > set_list_Sum_sum_a_b). 1.65/1.84 thf(decl_34, type, proj_v4774688849056456191um_a_b: set_nat_Sum_sum_a_b > list_nat > set_list_Sum_sum_a_b). 1.65/1.84 thf(decl_35, type, sp_equiv_a_b: (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > set_nat > $o). 1.65/1.84 thf(decl_36, type, sp_equiv_list_a_b: list_Sum_sum_a_b > list_Sum_sum_a_b > $o). 1.65/1.84 thf(decl_37, type, sp_equ1602150315804158378um_a_b: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o). 1.65/1.84 thf(decl_38, type, sp_equ4404609506204868152um_a_b: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_39, type, complete_Sup_Sup_o_o: set_o_o > $o > $o). 1.65/1.84 thf(decl_40, type, comple8317665133742190828_nat_o: set_nat_o > nat > $o). 1.65/1.84 thf(decl_41, type, comple1313159231058337691_a_b_o: set_Pr4460357641361952654_a_b_o > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_42, type, comple1006753396394606119_a_b_o: set_Su6672863918960448538_a_b_o > sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.84 thf(decl_43, type, complete_Sup_Sup_a_o: set_a_o > a > $o). 1.65/1.84 thf(decl_44, type, complete_Sup_Sup_o: set_o > $o). 1.65/1.84 thf(decl_45, type, complete_Sup_Sup_nat: set_nat > nat). 1.65/1.84 thf(decl_46, type, comple90263536869209701_set_o: set_set_o > set_o). 1.65/1.84 thf(decl_47, type, comple686855874154435973term_a: set_set_fo_term_a > set_fo_term_a). 1.65/1.84 thf(decl_48, type, comple7399068483239264473et_nat: set_set_nat > set_nat). 1.65/1.84 thf(decl_49, type, comple1455651807934007732um_a_b: set_se6131765522273127719um_a_b > set_Pr8399320699097828935um_a_b). 1.65/1.84 thf(decl_50, type, comple225027221175465466um_a_b: set_se8991359590818079341um_a_b > set_Pr7446880501794416397um_a_b). 1.65/1.84 thf(decl_51, type, comple548664676211718543et_nat: set_set_set_nat > set_set_nat). 1.65/1.84 thf(decl_52, type, comple3958522678809307947_set_a: set_set_set_a > set_set_a). 1.65/1.84 thf(decl_53, type, comple2307003609928055243_set_a: set_set_a > set_a). 1.65/1.84 thf(decl_54, type, condit5488710616941104124bove_o: set_o > $o). 1.65/1.84 thf(decl_55, type, condit2214826472909112428ve_nat: set_nat > $o). 1.65/1.84 thf(decl_56, type, condit5477540289124974626et_nat: set_set_nat > $o). 1.65/1.84 thf(decl_57, type, condit3373647341569784514_set_a: set_set_a > $o). 1.65/1.84 thf(decl_58, type, contai2722130307378928068um_a_b: (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o). 1.65/1.84 thf(decl_59, type, contai3288178304581096786um_a_b: (sum_sum_a_b > sum_sum_a_b > $o) > (sum_sum_a_b > sum_sum_a_b > $o) > (sum_sum_a_b > sum_sum_a_b > $o) > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_60, type, fo_Var_nat: nat > fo_term_nat). 1.65/1.84 thf(decl_61, type, fo_Var_a: nat > fo_term_a). 1.65/1.84 thf(decl_62, type, fo_set9081760999098759482term_a: fo_term_fo_term_a > set_fo_term_a). 1.65/1.84 thf(decl_63, type, fo_set_fo_term_nat: fo_term_nat > set_nat). 1.65/1.84 thf(decl_64, type, fo_set_fo_term_set_a: fo_term_set_a > set_set_a). 1.65/1.84 thf(decl_65, type, fo_set_fo_term_a: fo_term_a > set_a). 1.65/1.84 thf(decl_66, type, fv_fo_term_set_a: fo_term_a > set_nat). 1.65/1.84 thf(decl_67, type, fv_fo_terms_list_a: list_fo_term_a > list_nat). 1.65/1.84 thf(decl_68, type, fv_fo_terms_set_a: list_fo_term_a > set_nat). 1.65/1.84 thf(decl_69, type, list_f7871435398800439599term_a: fo_term_fo_term_a > list_fo_term_a). 1.65/1.84 thf(decl_70, type, list_fo_term_set_a: fo_term_set_a > list_set_a). 1.65/1.84 thf(decl_71, type, list_fo_term_a2: fo_term_a > list_a). 1.65/1.84 thf(decl_72, type, finite4008447295225144350term_a: set_fo_term_a > set_set_fo_term_a). 1.65/1.84 thf(decl_73, type, finite_Fpow_nat: set_nat > set_set_nat). 1.65/1.84 thf(decl_74, type, finite_Fpow_set_nat: set_set_nat > set_set_set_nat). 1.65/1.84 thf(decl_75, type, finite_Fpow_a: set_a > set_set_a). 1.65/1.84 thf(decl_76, type, zero_zero_nat: nat). 1.65/1.84 thf(decl_77, type, sup_sup_o_o: ($o > $o) > ($o > $o) > $o > $o). 1.65/1.84 thf(decl_78, type, sup_sup_nat_o: (nat > $o) > (nat > $o) > nat > $o). 1.65/1.84 thf(decl_79, type, sup_su9071720515518927874_a_b_o: (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_80, type, sup_su2552815873475517710_a_b_o: (sum_sum_a_b > sum_sum_a_b > $o) > (sum_sum_a_b > sum_sum_a_b > $o) > sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.84 thf(decl_81, type, sup_sup_o: $o > $o > $o). 1.65/1.84 thf(decl_82, type, sup_sup_nat: nat > nat > nat). 1.65/1.84 thf(decl_83, type, sup_sup_set_o: set_o > set_o > set_o). 1.65/1.84 thf(decl_84, type, sup_su8271228240639168364term_a: set_fo_term_a > set_fo_term_a > set_fo_term_a). 1.65/1.84 thf(decl_85, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 1.65/1.84 thf(decl_86, type, sup_su3336005721230496795um_a_b: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b). 1.65/1.84 thf(decl_87, type, sup_su136282286646373089um_a_b: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b). 1.65/1.84 thf(decl_88, type, sup_su452245544183510092term_a: set_set_fo_term_a > set_set_fo_term_a > set_set_fo_term_a). 1.65/1.84 thf(decl_89, type, sup_sup_set_set_nat: set_set_nat > set_set_nat > set_set_nat). 1.65/1.84 thf(decl_90, type, sup_su2076012971530813682_set_a: set_set_set_a > set_set_set_a > set_set_set_a). 1.65/1.84 thf(decl_91, type, sup_sup_set_set_a: set_set_a > set_set_a > set_set_a). 1.65/1.84 thf(decl_92, type, sup_sup_set_a: set_a > set_a > set_a). 1.65/1.84 thf(decl_93, type, bind_f896401455665358087term_a: list_fo_term_a > (fo_term_a > list_fo_term_a) > list_fo_term_a). 1.65/1.84 thf(decl_94, type, bind_fo_term_a_nat: list_fo_term_a > (fo_term_a > list_nat) > list_nat). 1.65/1.84 thf(decl_95, type, bind_fo_term_a_set_a: list_fo_term_a > (fo_term_a > list_set_a) > list_set_a). 1.65/1.84 thf(decl_96, type, bind_fo_term_a_a: list_fo_term_a > (fo_term_a > list_a) > list_a). 1.65/1.84 thf(decl_97, type, bind_set_a_fo_term_a: list_set_a > (set_a > list_fo_term_a) > list_fo_term_a). 1.65/1.84 thf(decl_98, type, bind_set_a_nat: list_set_a > (set_a > list_nat) > list_nat). 1.65/1.84 thf(decl_99, type, bind_set_a_set_a: list_set_a > (set_a > list_set_a) > list_set_a). 1.65/1.84 thf(decl_100, type, bind_set_a_a: list_set_a > (set_a > list_a) > list_a). 1.65/1.84 thf(decl_101, type, concat_fo_term_a: list_list_fo_term_a > list_fo_term_a). 1.65/1.84 thf(decl_102, type, concat_nat: list_list_nat > list_nat). 1.65/1.84 thf(decl_103, type, concat_set_a: list_list_set_a > list_set_a). 1.65/1.84 thf(decl_104, type, concat_Sum_sum_a_b: list_l4199846171218662726um_a_b > list_Sum_sum_a_b). 1.65/1.84 thf(decl_105, type, concat_a: list_list_a > list_a). 1.65/1.84 thf(decl_106, type, lex_fo_term_a: set_Pr2098608728313050119term_a > set_Pr1852429413832071943term_a). 1.65/1.84 thf(decl_107, type, lex_Pr8204711688206672151um_a_b: set_Pr8399320699097828935um_a_b > set_Pr5775938668032042439um_a_b). 1.65/1.84 thf(decl_108, type, lex_Sum_sum_a_b: set_Pr7446880501794416397um_a_b > set_Pr5051752586605715373um_a_b). 1.65/1.84 thf(decl_109, type, cons_o: $o > list_o > list_o). 1.65/1.84 thf(decl_110, type, cons_fo_term_a: fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.84 thf(decl_111, type, cons_list_fo_term_a: list_fo_term_a > list_list_fo_term_a > list_list_fo_term_a). 1.65/1.84 thf(decl_112, type, cons_nat: nat > list_nat > list_nat). 1.65/1.84 thf(decl_113, type, cons_P6714379909365491421term_a: produc1862286084049253159term_a > list_P5997994576843812653term_a > list_P5997994576843812653term_a). 1.65/1.84 thf(decl_114, type, cons_P1698812577840151325um_a_b: produc3571035918378404711um_a_b > list_P8078827403608860013um_a_b > list_P8078827403608860013um_a_b). 1.65/1.84 thf(decl_115, type, cons_P4211151491411527779um_a_b: produc4970237071031658413um_a_b > list_P911570089447184179um_a_b > list_P911570089447184179um_a_b). 1.65/1.84 thf(decl_116, type, cons_set_a: set_a > list_set_a > list_set_a). 1.65/1.84 thf(decl_117, type, cons_Sum_sum_a_b: sum_sum_a_b > list_Sum_sum_a_b > list_Sum_sum_a_b). 1.65/1.84 thf(decl_118, type, cons_a: a > list_a > list_a). 1.65/1.84 thf(decl_119, type, nil_o: list_o). 1.65/1.84 thf(decl_120, type, nil_fo_term_a: list_fo_term_a). 1.65/1.84 thf(decl_121, type, nil_list_fo_term_a: list_list_fo_term_a). 1.65/1.84 thf(decl_122, type, nil_nat: list_nat). 1.65/1.84 thf(decl_123, type, nil_set_a: list_set_a). 1.65/1.84 thf(decl_124, type, nil_Sum_sum_a_b: list_Sum_sum_a_b). 1.65/1.84 thf(decl_125, type, map_o_o: ($o > $o) > list_o > list_o). 1.65/1.84 thf(decl_126, type, map_fo892930752248153208et_nat: (fo_term_nat > set_nat) > list_fo_term_nat > list_set_nat). 1.65/1.84 thf(decl_127, type, map_fo1947372104148616388term_a: (fo_term_a > fo_term_a) > list_fo_term_a > list_fo_term_a). 1.65/1.84 thf(decl_128, type, map_fo8530922736995112688_set_a: (fo_term_a > list_set_a) > list_fo_term_a > list_list_set_a). 1.65/1.84 thf(decl_129, type, map_fo6830463384567567482et_nat: (fo_term_a > set_nat) > list_fo_term_a > list_set_nat). 1.65/1.84 thf(decl_130, type, map_fo_term_a_set_a: (fo_term_a > set_a) > list_fo_term_a > list_set_a). 1.65/1.84 thf(decl_131, type, map_fo7965992544404511898um_a_b: (fo_term_a > sum_sum_a_b) > list_fo_term_a > list_Sum_sum_a_b). 1.65/1.84 thf(decl_132, type, map_li5869153386775700970_set_a: (list_fo_term_a > list_set_a) > list_list_fo_term_a > list_list_set_a). 1.65/1.84 thf(decl_133, type, map_li8270126406123843804um_a_b: (list_nat > list_Sum_sum_a_b) > list_list_nat > list_l4199846171218662726um_a_b). 1.65/1.84 thf(decl_134, type, map_na6868575180539663436um_a_b: (nat > list_Sum_sum_a_b) > list_nat > list_l4199846171218662726um_a_b). 1.65/1.84 thf(decl_135, type, map_nat_nat: (nat > nat) > list_nat > list_nat). 1.65/1.84 thf(decl_136, type, map_nat_Sum_sum_a_b: (nat > sum_sum_a_b) > list_nat > list_Sum_sum_a_b). 1.65/1.84 thf(decl_137, type, map_Pr6887590558198987966um_a_b: (produc4970237071031658413um_a_b > produc3571035918378404711um_a_b) > list_P911570089447184179um_a_b > list_P8078827403608860013um_a_b). 1.65/1.84 thf(decl_138, type, map_set_a_fo_term_a: (set_a > fo_term_a) > list_set_a > list_fo_term_a). 1.65/1.84 thf(decl_139, type, map_set_a_set_a: (set_a > set_a) > list_set_a > list_set_a). 1.65/1.84 thf(decl_140, type, map_se8283177641175428800um_a_b: (set_a > sum_sum_a_b) > list_set_a > list_Sum_sum_a_b). 1.65/1.84 thf(decl_141, type, map_Su1807928384289759553um_a_b: (sum_sum_a_b > produc4970237071031658413um_a_b) > list_Sum_sum_a_b > list_P911570089447184179um_a_b). 1.65/1.84 thf(decl_142, type, map_a_Sum_sum_a_b: (a > sum_sum_a_b) > list_a > list_Sum_sum_a_b). 1.65/1.84 thf(decl_143, type, set_o2: list_o > set_o). 1.65/1.84 thf(decl_144, type, set_fo_term_a2: list_fo_term_a > set_fo_term_a). 1.65/1.84 thf(decl_145, type, set_list_fo_term_a2: list_list_fo_term_a > set_list_fo_term_a). 1.65/1.84 thf(decl_146, type, set_list_nat2: list_list_nat > set_list_nat). 1.65/1.84 thf(decl_147, type, set_list_set_a2: list_list_set_a > set_list_set_a). 1.65/1.84 thf(decl_148, type, set_list_a2: list_list_a > set_list_a). 1.65/1.84 thf(decl_149, type, set_nat2: list_nat > set_nat). 1.65/1.84 thf(decl_150, type, set_Product_prod_o_o2: list_P4002435161011370285od_o_o > set_Product_prod_o_o). 1.65/1.84 thf(decl_151, type, set_Pr3445763745426024412term_a: list_P7469713920060938829term_a > set_Pr69971523991894823term_a). 1.65/1.84 thf(decl_152, type, set_Pr7006799604034136130_o_nat: list_P6285523579766656935_o_nat > set_Pr2101469702781467981_o_nat). 1.65/1.84 thf(decl_153, type, set_Pr6861545823919239170_set_a: list_P510152626913474675_set_a > set_Pr4984367865441058893_set_a). 1.65/1.84 thf(decl_154, type, set_Pr857458729336798108rm_a_o: list_P5547956954539478541rm_a_o > set_Pr7371586595325210343rm_a_o). 1.65/1.84 thf(decl_155, type, set_Pr8525099475139956924term_a: list_P5997994576843812653term_a > set_Pr2098608728313050119term_a). 1.65/1.84 thf(decl_156, type, set_Pr4810744158623348578_a_nat: list_P1470736031938392775_a_nat > set_Pr8013344796587293805_a_nat). 1.65/1.84 thf(decl_157, type, set_Pr1291962091234853352_nat_o: list_P7333126701944960589_nat_o > set_Pr3149072824959771635_nat_o). 1.65/1.84 thf(decl_158, type, set_Pr6588302701960154888term_a: list_P777580505854760813term_a > set_Pr7320189270503661843term_a). 1.65/1.84 thf(decl_159, type, set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat). 1.65/1.84 thf(decl_160, type, set_Pr7605819797464226094_set_a: list_P6824557493144167827_set_a > set_Pr795711631749564473_set_a). 1.65/1.84 thf(decl_161, type, set_Pr7343516712102431484um_a_b: list_P8078827403608860013um_a_b > set_Pr8399320699097828935um_a_b). 1.65/1.84 thf(decl_162, type, set_Pr7878197726666307004_set_a: list_P3660316430366008877_set_a > set_Pr5845495582615845127_set_a). 1.65/1.84 thf(decl_163, type, set_Pr2436422074441463490um_a_b: list_P911570089447184179um_a_b > set_Pr7446880501794416397um_a_b). 1.65/1.84 thf(decl_164, type, set_set_nat2: list_set_nat > set_set_nat). 1.65/1.84 thf(decl_165, type, set_set_a2: list_set_a > set_set_a). 1.65/1.84 thf(decl_166, type, set_Sum_sum_a_b2: list_Sum_sum_a_b > set_Sum_sum_a_b). 1.65/1.84 thf(decl_167, type, set_a2: list_a > set_a). 1.65/1.84 thf(decl_168, type, map_ta7358401600219818932_set_a: (fo_term_a > set_a) > list_fo_term_a > list_set_a). 1.65/1.84 thf(decl_169, type, map_ta2267675914094331014um_a_b: (nat > sum_sum_a_b) > list_nat > list_Sum_sum_a_b). 1.65/1.84 thf(decl_170, type, n_lists_fo_term_a: nat > list_fo_term_a > list_list_fo_term_a). 1.65/1.84 thf(decl_171, type, n_lists_set_a: nat > list_set_a > list_list_set_a). 1.65/1.84 thf(decl_172, type, n_lists_a: nat > list_a > list_list_a). 1.65/1.84 thf(decl_173, type, subseqs_fo_term_a: list_fo_term_a > list_list_fo_term_a). 1.65/1.84 thf(decl_174, type, subseqs_set_a: list_set_a > list_list_set_a). 1.65/1.84 thf(decl_175, type, subseqs_a: list_a > list_list_a). 1.65/1.84 thf(decl_176, type, union_fo_term_a: list_fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.84 thf(decl_177, type, union_nat: list_nat > list_nat > list_nat). 1.65/1.84 thf(decl_178, type, union_set_a: list_set_a > list_set_a > list_set_a). 1.65/1.84 thf(decl_179, type, zip_o_o: list_o > list_o > list_P4002435161011370285od_o_o). 1.65/1.84 thf(decl_180, type, zip_o_fo_term_a: list_o > list_fo_term_a > list_P7469713920060938829term_a). 1.65/1.84 thf(decl_181, type, zip_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat). 1.65/1.84 thf(decl_182, type, zip_o_set_a: list_o > list_set_a > list_P510152626913474675_set_a). 1.65/1.84 thf(decl_183, type, zip_fo_term_a_o: list_fo_term_a > list_o > list_P5547956954539478541rm_a_o). 1.65/1.84 thf(decl_184, type, zip_fo6878876257050044983term_a: list_fo_term_a > list_fo_term_a > list_P5997994576843812653term_a). 1.65/1.84 thf(decl_185, type, zip_fo_term_a_nat: list_fo_term_a > list_nat > list_P1470736031938392775_a_nat). 1.65/1.84 thf(decl_186, type, zip_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o). 1.65/1.84 thf(decl_187, type, zip_nat_fo_term_a: list_nat > list_fo_term_a > list_P777580505854760813term_a). 1.65/1.84 thf(decl_188, type, zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat). 1.65/1.84 thf(decl_189, type, zip_nat_set_a: list_nat > list_set_a > list_P6824557493144167827_set_a). 1.65/1.84 thf(decl_190, type, zip_Pr2791044230619283191um_a_b: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > list_P8078827403608860013um_a_b). 1.65/1.84 thf(decl_191, type, zip_set_a_set_a: list_set_a > list_set_a > list_P3660316430366008877_set_a). 1.65/1.84 thf(decl_192, type, zip_Su8953288692215371525um_a_b: list_Sum_sum_a_b > list_Sum_sum_a_b > list_P911570089447184179um_a_b). 1.65/1.84 thf(decl_193, type, suc: nat > nat). 1.65/1.84 thf(decl_194, type, size_s8359284885213242922term_a: list_fo_term_a > nat). 1.65/1.84 thf(decl_195, type, size_size_list_nat: list_nat > nat). 1.65/1.84 thf(decl_196, type, size_s8239069388891432863um_a_b: list_P911570089447184179um_a_b > nat). 1.65/1.84 thf(decl_197, type, size_size_list_set_a: list_set_a > nat). 1.65/1.84 thf(decl_198, type, size_s5949480688510517322um_a_b: list_Sum_sum_a_b > nat). 1.65/1.84 thf(decl_199, type, size_size_list_a: list_a > nat). 1.65/1.84 thf(decl_200, type, bot_bot_o_o: $o > $o). 1.65/1.84 thf(decl_201, type, bot_bot_nat_o: nat > $o). 1.65/1.84 thf(decl_202, type, bot_bo3043406617904588954_a_b_o: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_203, type, bot_bo2807395181258315174_a_b_o: sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.84 thf(decl_204, type, bot_bot_o: $o). 1.65/1.84 thf(decl_205, type, bot_bot_nat: nat). 1.65/1.84 thf(decl_206, type, bot_bot_set_o: set_o). 1.65/1.84 thf(decl_207, type, bot_bo4735268219511357444term_a: set_fo_term_a). 1.65/1.84 thf(decl_208, type, bot_bot_set_nat: set_nat). 1.65/1.84 thf(decl_209, type, bot_bo3672398350399133875um_a_b: set_Pr8399320699097828935um_a_b). 1.65/1.84 thf(decl_210, type, bot_bo7178514019130905465um_a_b: set_Pr7446880501794416397um_a_b). 1.65/1.84 thf(decl_211, type, bot_bot_set_set_nat: set_set_nat). 1.65/1.84 thf(decl_212, type, bot_bot_set_set_a: set_set_a). 1.65/1.84 thf(decl_213, type, bot_bot_set_a: set_a). 1.65/1.84 thf(decl_214, type, ord_less_eq_o_o: ($o > $o) > ($o > $o) > $o). 1.65/1.84 thf(decl_215, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o). 1.65/1.84 thf(decl_216, type, ord_le596491480644971982_a_b_o: (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > $o). 1.65/1.84 thf(decl_217, type, ord_le5766693921943152858_a_b_o: (sum_sum_a_b > sum_sum_a_b > $o) > (sum_sum_a_b > sum_sum_a_b > $o) > $o). 1.65/1.84 thf(decl_218, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o). 1.65/1.84 thf(decl_219, type, ord_less_eq_o: $o > $o > $o). 1.65/1.84 thf(decl_220, type, ord_less_eq_nat: nat > nat > $o). 1.65/1.84 thf(decl_221, type, ord_less_eq_set_o: set_o > set_o > $o). 1.65/1.84 thf(decl_222, type, ord_le7235927774280267576term_a: set_fo_term_a > set_fo_term_a > $o). 1.65/1.84 thf(decl_223, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.65/1.84 thf(decl_224, type, ord_le7009189414759065063um_a_b: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > $o). 1.65/1.84 thf(decl_225, type, ord_le1431929631403617965um_a_b: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > $o). 1.65/1.84 thf(decl_226, type, ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o). 1.65/1.84 thf(decl_227, type, ord_le9131159989063066194et_nat: set_set_set_nat > set_set_set_nat > $o). 1.65/1.84 thf(decl_228, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o). 1.65/1.84 thf(decl_229, type, ord_less_eq_set_a: set_a > set_a > $o). 1.65/1.84 thf(decl_230, type, produc2541524099832587239term_a: (fo_term_a > fo_term_a > $o) > list_fo_term_a > produc6979806214577974775term_a). 1.65/1.84 thf(decl_231, type, product_Pair_o_o: $o > $o > product_prod_o_o). 1.65/1.84 thf(decl_232, type, produc3451725355510130231term_a: $o > fo_term_a > produc503651425900366919term_a). 1.65/1.84 thf(decl_233, type, product_Pair_o_nat: $o > nat > product_prod_o_nat). 1.65/1.84 thf(decl_234, type, product_Pair_o_set_a: $o > set_a > product_prod_o_set_a). 1.65/1.84 thf(decl_235, type, produc653204937247805943rm_a_o: fo_term_a > $o > produc7138718446665916423rm_a_o). 1.65/1.84 thf(decl_236, type, produc255400929278251799term_a: fo_term_a > fo_term_a > produc1862286084049253159term_a). 1.65/1.84 thf(decl_237, type, produc2792076895411073841_a_nat: fo_term_a > nat > produc2486529956818748343_a_nat). 1.65/1.84 thf(decl_238, type, produc2844275945459074327term_a: list_fo_term_a > list_fo_term_a > produc5326104604294387495term_a). 1.65/1.84 thf(decl_239, type, produc2669586549142030935um_a_b: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > produc4434868332320858087um_a_b). 1.65/1.84 thf(decl_240, type, produc5431536226049688709um_a_b: list_Sum_sum_a_b > list_Sum_sum_a_b > produc8534300558339992909um_a_b). 1.65/1.84 thf(decl_241, type, product_Pair_nat_o: nat > $o > product_prod_nat_o). 1.65/1.84 thf(decl_242, type, produc4373987677973670415term_a: nat > fo_term_a > produc4264088500155554653term_a). 1.65/1.84 thf(decl_243, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 1.65/1.84 thf(decl_244, type, produc4534374738092020277_set_a: nat > set_a > produc2875793189560775939_set_a). 1.65/1.84 thf(decl_245, type, produc4150817653361023831um_a_b: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4635856608676612327um_a_b). 1.65/1.84 thf(decl_246, type, produc1529531236301088727um_a_b: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > produc3571035918378404711um_a_b). 1.65/1.84 thf(decl_247, type, produc1385271121253346790um_a_b: set_a > produc4970237071031658413um_a_b > produc2771778909502576118um_a_b). 1.65/1.84 thf(decl_248, type, produc9088192753505129239_set_a: set_a > set_a > produc1703568184450464039_set_a). 1.65/1.84 thf(decl_249, type, produc8374529264883863525um_a_b: sum_sum_a_b > sum_sum_a_b > produc4970237071031658413um_a_b). 1.65/1.84 thf(decl_250, type, produc3510852908091513805_a_b_o: (produc3571035918378404711um_a_b > $o) > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.84 thf(decl_251, type, produc7531328843900428223_a_b_o: (produc4970237071031658413um_a_b > $o) > sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.84 thf(decl_252, type, collec5156538601139049578um_a_b: ((nat > sum_sum_a_b) > $o) > set_nat_Sum_sum_a_b). 1.65/1.84 thf(decl_253, type, collect_o: ($o > $o) > set_o). 1.65/1.84 thf(decl_254, type, collect_fo_term_a: (fo_term_a > $o) > set_fo_term_a). 1.65/1.84 thf(decl_255, type, collec1540775633247146793term_a: (list_fo_term_a > $o) > set_list_fo_term_a). 1.65/1.84 thf(decl_256, type, collect_list_set_a: (list_set_a > $o) > set_list_set_a). 1.65/1.84 thf(decl_257, type, collect_list_a: (list_a > $o) > set_list_a). 1.65/1.84 thf(decl_258, type, collect_nat: (nat > $o) > set_nat). 1.65/1.84 thf(decl_259, type, collect_set_nat: (set_nat > $o) > set_set_nat). 1.65/1.84 thf(decl_260, type, collect_set_a: (set_a > $o) > set_set_a). 1.65/1.84 thf(decl_261, type, collect_a: (a > $o) > set_a). 1.65/1.84 thf(decl_262, type, pow_fo_term_a: set_fo_term_a > set_set_fo_term_a). 1.65/1.84 thf(decl_263, type, pow_nat: set_nat > set_set_nat). 1.65/1.84 thf(decl_264, type, pow_set_a: set_set_a > set_set_set_a). 1.65/1.84 thf(decl_265, type, pow_a: set_a > set_set_a). 1.65/1.84 thf(decl_266, type, bind_fo_term_a_nat2: set_fo_term_a > (fo_term_a > set_nat) > set_nat). 1.65/1.84 thf(decl_267, type, bind_f8452300695516831147et_nat: set_fo_term_a > (fo_term_a > set_set_nat) > set_set_nat). 1.65/1.84 thf(decl_268, type, bind_nat_nat: set_nat > (nat > set_nat) > set_nat). 1.65/1.84 thf(decl_269, type, image_o_o_set_o: (($o > $o) > set_o) > set_o_o > set_set_o). 1.65/1.84 thf(decl_270, type, image_nat_o_set_nat: ((nat > $o) > set_nat) > set_nat_o > set_set_nat). 1.65/1.84 thf(decl_271, type, image_5382233125000138450um_a_b: ((nat > sum_sum_a_b) > list_Sum_sum_a_b) > set_nat_Sum_sum_a_b > set_list_Sum_sum_a_b). 1.65/1.84 thf(decl_272, type, image_a_o_set_a: ((a > $o) > set_a) > set_a_o > set_set_a). 1.65/1.84 thf(decl_273, type, image_o_o: ($o > $o) > set_o > set_o). 1.65/1.84 thf(decl_274, type, image_o_nat: ($o > nat) > set_o > set_nat). 1.65/1.84 thf(decl_275, type, image_o_set_o: ($o > set_o) > set_o > set_set_o). 1.65/1.84 thf(decl_276, type, image_o_set_nat: ($o > set_nat) > set_o > set_set_nat). 1.65/1.84 thf(decl_277, type, image_o_set_set_nat: ($o > set_set_nat) > set_o > set_set_set_nat). 1.65/1.84 thf(decl_278, type, image_o_set_a: ($o > set_a) > set_o > set_set_a). 1.65/1.84 thf(decl_279, type, image_o_a: ($o > a) > set_o > set_a). 1.65/1.84 thf(decl_280, type, image_8606175442914507212_nat_o: (fo_term_a > nat > $o) > set_fo_term_a > set_nat_o). 1.65/1.84 thf(decl_281, type, image_fo_term_a_o: (fo_term_a > $o) > set_fo_term_a > set_o). 1.65/1.84 thf(decl_282, type, image_7906337944658094469term_a: (fo_term_a > fo_term_a) > set_fo_term_a > set_fo_term_a). 1.65/1.84 thf(decl_283, type, image_fo_term_a_nat: (fo_term_a > nat) > set_fo_term_a > set_nat). 1.65/1.84 thf(decl_284, type, image_3113411586611785317term_a: (fo_term_a > set_fo_term_a) > set_fo_term_a > set_set_fo_term_a). 1.65/1.84 thf(decl_285, type, image_4076968986711908345et_nat: (fo_term_a > set_nat) > set_fo_term_a > set_set_nat). 1.65/1.85 thf(decl_286, type, image_3222234126150441135et_nat: (fo_term_a > set_set_nat) > set_fo_term_a > set_set_set_nat). 1.65/1.85 thf(decl_287, type, image_4690898902537475083_set_a: (fo_term_a > set_set_a) > set_fo_term_a > set_set_set_a). 1.65/1.85 thf(decl_288, type, image_5186207022665966251_set_a: (fo_term_a > set_a) > set_fo_term_a > set_set_a). 1.65/1.85 thf(decl_289, type, image_1472242209415884511term_a: (list_fo_term_a > set_fo_term_a) > set_list_fo_term_a > set_set_fo_term_a). 1.65/1.85 thf(decl_290, type, image_1775855109352712557et_nat: (list_nat > set_nat) > set_list_nat > set_set_nat). 1.65/1.85 thf(decl_291, type, image_8804695481318321887_set_a: (list_set_a > set_set_a) > set_list_set_a > set_set_set_a). 1.65/1.85 thf(decl_292, type, image_8650789150327864181um_a_b: (list_a > list_Sum_sum_a_b) > set_list_a > set_list_Sum_sum_a_b). 1.65/1.85 thf(decl_293, type, image_list_a_set_a: (list_a > set_a) > set_list_a > set_set_a). 1.65/1.85 thf(decl_294, type, image_nat_o: (nat > $o) > set_nat > set_o). 1.65/1.85 thf(decl_295, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 1.65/1.85 thf(decl_296, type, image_6061934383585434902um_a_b: (nat > produc4970237071031658413um_a_b) > set_nat > set_Pr7446880501794416397um_a_b). 1.65/1.85 thf(decl_297, type, image_nat_set_o: (nat > set_o) > set_nat > set_set_o). 1.65/1.85 thf(decl_298, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat). 1.65/1.85 thf(decl_299, type, image_2194112158459175443et_nat: (nat > set_set_nat) > set_nat > set_set_set_nat). 1.65/1.85 thf(decl_300, type, image_nat_set_a: (nat > set_a) > set_nat > set_set_a). 1.65/1.85 thf(decl_301, type, image_95481336540478333um_a_b: (nat > sum_sum_a_b) > set_nat > set_Sum_sum_a_b). 1.65/1.85 thf(decl_302, type, image_nat_a: (nat > a) > set_nat > set_a). 1.65/1.85 thf(decl_303, type, image_set_o_o_o: (set_o > $o > $o) > set_set_o > set_o_o). 1.65/1.85 thf(decl_304, type, image_set_o_o: (set_o > $o) > set_set_o > set_o). 1.65/1.85 thf(decl_305, type, image_6112669265629390213term_a: (set_fo_term_a > set_fo_term_a) > set_set_fo_term_a > set_set_fo_term_a). 1.65/1.85 thf(decl_306, type, image_6401696807295627481et_nat: (set_fo_term_a > set_nat) > set_set_fo_term_a > set_set_nat). 1.65/1.85 thf(decl_307, type, image_7777801852791253391et_nat: (set_fo_term_a > set_set_nat) > set_set_fo_term_a > set_set_set_nat). 1.65/1.85 thf(decl_308, type, image_set_nat_nat_o: (set_nat > nat > $o) > set_set_nat > set_nat_o). 1.65/1.85 thf(decl_309, type, image_set_nat_o: (set_nat > $o) > set_set_nat > set_o). 1.65/1.85 thf(decl_310, type, image_7916887816326733075et_nat: (set_nat > set_nat) > set_set_nat > set_set_nat). 1.65/1.85 thf(decl_311, type, image_set_nat_set_a: (set_nat > set_a) > set_set_nat > set_set_a). 1.65/1.85 thf(decl_312, type, image_862428058553186220_a_b_o: (set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > set_se6131765522273127719um_a_b > set_Pr4460357641361952654_a_b_o). 1.65/1.85 thf(decl_313, type, image_8319548832542508146_a_b_o: (set_Pr7446880501794416397um_a_b > sum_sum_a_b > sum_sum_a_b > $o) > set_se8991359590818079341um_a_b > set_Su6672863918960448538_a_b_o). 1.65/1.85 thf(decl_314, type, image_1042221919965026181_set_a: (set_set_a > set_set_a) > set_set_set_a > set_set_set_a). 1.65/1.85 thf(decl_315, type, image_set_a_a_o: (set_a > a > $o) > set_set_a > set_a_o). 1.65/1.85 thf(decl_316, type, image_set_a_o: (set_a > $o) > set_set_a > set_o). 1.65/1.85 thf(decl_317, type, image_733276817645785951term_a: (set_a > fo_term_a) > set_set_a > set_fo_term_a). 1.65/1.85 thf(decl_318, type, image_7481580212924510271term_a: (set_a > set_fo_term_a) > set_set_a > set_set_fo_term_a). 1.65/1.85 thf(decl_319, type, image_set_a_set_nat: (set_a > set_nat) > set_set_a > set_set_nat). 1.65/1.85 thf(decl_320, type, image_4955109552351689957_set_a: (set_a > set_set_a) > set_set_a > set_set_set_a). 1.65/1.85 thf(decl_321, type, image_set_a_set_a: (set_a > set_a) > set_set_a > set_set_a). 1.65/1.85 thf(decl_322, type, image_a_o: (a > $o) > set_a > set_o). 1.65/1.85 thf(decl_323, type, image_a_nat: (a > nat) > set_a > set_nat). 1.65/1.85 thf(decl_324, type, image_a_set_nat: (a > set_nat) > set_a > set_set_nat). 1.65/1.85 thf(decl_325, type, image_a_set_a: (a > set_a) > set_a > set_set_a). 1.65/1.85 thf(decl_326, type, image_a_Sum_sum_a_b: (a > sum_sum_a_b) > set_a > set_Sum_sum_a_b). 1.65/1.85 thf(decl_327, type, image_a_a: (a > a) > set_a > set_a). 1.65/1.85 thf(decl_328, type, insert_o: $o > set_o > set_o). 1.65/1.85 thf(decl_329, type, insert_fo_term_a: fo_term_a > set_fo_term_a > set_fo_term_a). 1.65/1.85 thf(decl_330, type, insert_nat: nat > set_nat > set_nat). 1.65/1.85 thf(decl_331, type, insert_set_nat: set_nat > set_set_nat > set_set_nat). 1.65/1.85 thf(decl_332, type, insert_set_a: set_a > set_set_a > set_set_a). 1.65/1.85 thf(decl_333, type, insert_a: a > set_a > set_a). 1.65/1.85 thf(decl_334, type, is_singleton_o: set_o > $o). 1.65/1.85 thf(decl_335, type, is_singleton_nat: set_nat > $o). 1.65/1.85 thf(decl_336, type, pairwise_o: ($o > $o > $o) > set_o > $o). 1.65/1.85 thf(decl_337, type, pairwise_fo_term_a: (fo_term_a > fo_term_a > $o) > set_fo_term_a > $o). 1.65/1.85 thf(decl_338, type, pairwise_nat: (nat > nat > $o) > set_nat > $o). 1.65/1.85 thf(decl_339, type, pairwi757434828799223448um_a_b: (produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o) > set_Pr7446880501794416397um_a_b > $o). 1.65/1.85 thf(decl_340, type, pairwise_set_nat: (set_nat > set_nat > $o) > set_set_nat > $o). 1.65/1.85 thf(decl_341, type, pairwise_a: (a > a > $o) > set_a > $o). 1.65/1.85 thf(decl_342, type, sum_Inl_a_b: a > sum_sum_a_b). 1.65/1.85 thf(decl_343, type, same_f2190400803041120684um_a_b: (produc4970237071031658413um_a_b > $o) > (produc4970237071031658413um_a_b > set_Pr8399320699097828935um_a_b) > set_Pr2313842040787193031um_a_b). 1.65/1.85 thf(decl_344, type, same_f5633148067467159866um_a_b: (sum_sum_a_b > $o) > (sum_sum_a_b > set_Pr7446880501794416397um_a_b) > set_Pr8399320699097828935um_a_b). 1.65/1.85 thf(decl_345, type, member_o: $o > set_o > $o). 1.65/1.85 thf(decl_346, type, member_fo_term_a: fo_term_a > set_fo_term_a > $o). 1.65/1.85 thf(decl_347, type, member1303841736766631655term_a: list_fo_term_a > set_list_fo_term_a > $o). 1.65/1.85 thf(decl_348, type, member_list_set_a: list_set_a > set_list_set_a > $o). 1.65/1.85 thf(decl_349, type, member7701661377270014157um_a_b: list_Sum_sum_a_b > set_list_Sum_sum_a_b > $o). 1.65/1.85 thf(decl_350, type, member_list_a: list_a > set_list_a > $o). 1.65/1.85 thf(decl_351, type, member_nat: nat > set_nat > $o). 1.65/1.85 thf(decl_352, type, member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o). 1.65/1.85 thf(decl_353, type, member1461078696117077360term_a: produc503651425900366919term_a > set_Pr69971523991894823term_a > $o). 1.65/1.85 thf(decl_354, type, member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o). 1.65/1.85 thf(decl_355, type, member430077771289815958_set_a: product_prod_o_set_a > set_Pr4984367865441058893_set_a > $o). 1.65/1.85 thf(decl_356, type, member8096145716882626864rm_a_o: produc7138718446665916423rm_a_o > set_Pr7371586595325210343rm_a_o > $o). 1.65/1.85 thf(decl_357, type, member3851078497659713104term_a: produc1862286084049253159term_a > set_Pr2098608728313050119term_a > $o). 1.65/1.85 thf(decl_358, type, member7398352709051999950_a_nat: produc2486529956818748343_a_nat > set_Pr8013344796587293805_a_nat > $o). 1.65/1.85 thf(decl_359, type, member266000746565486928term_a: produc5326104604294387495term_a > set_Pr1852429413832071943term_a > $o). 1.65/1.85 thf(decl_360, type, member6189382312003533840um_a_b: produc4434868332320858087um_a_b > set_Pr5775938668032042439um_a_b > $o). 1.65/1.85 thf(decl_361, type, member4891539924951922422um_a_b: produc8534300558339992909um_a_b > set_Pr5051752586605715373um_a_b > $o). 1.65/1.85 thf(decl_362, type, member6310962623043647828_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > $o). 1.65/1.85 thf(decl_363, type, member9175911252388806260term_a: produc4264088500155554653term_a > set_Pr7320189270503661843term_a > $o). 1.65/1.85 thf(decl_364, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 1.65/1.85 thf(decl_365, type, member5975939659289209498_set_a: produc2875793189560775939_set_a > set_Pr795711631749564473_set_a > $o). 1.65/1.85 thf(decl_366, type, member3284436464553810704um_a_b: produc4635856608676612327um_a_b > set_Pr2313842040787193031um_a_b > $o). 1.65/1.85 thf(decl_367, type, member1616855488514259088um_a_b: produc3571035918378404711um_a_b > set_Pr8399320699097828935um_a_b > $o). 1.65/1.85 thf(decl_368, type, member7983343339038529360_set_a: produc1703568184450464039_set_a > set_Pr5845495582615845127_set_a > $o). 1.65/1.85 thf(decl_369, type, member6480126262776431190um_a_b: produc4970237071031658413um_a_b > set_Pr7446880501794416397um_a_b > $o). 1.65/1.85 thf(decl_370, type, member_set_o: set_o > set_set_o > $o). 1.65/1.85 thf(decl_371, type, member_set_fo_term_a: set_fo_term_a > set_set_fo_term_a > $o). 1.65/1.85 thf(decl_372, type, member_set_nat: set_nat > set_set_nat > $o). 1.65/1.85 thf(decl_373, type, member_set_set_a: set_set_a > set_set_set_a > $o). 1.65/1.85 thf(decl_374, type, member_set_a: set_a > set_set_a > $o). 1.65/1.85 thf(decl_375, type, member_Sum_sum_a_b: sum_sum_a_b > set_Sum_sum_a_b > $o). 1.65/1.85 thf(decl_376, type, member_a: a > set_a > $o). 1.65/1.85 thf(decl_377, type, x: set_a). 1.65/1.85 thf(decl_378, type, sigma: nat > sum_sum_a_b). 1.65/1.85 thf(decl_379, type, tau: nat > sum_sum_a_b). 1.65/1.85 thf(decl_380, type, n: nat). 1.65/1.85 thf(decl_381, type, t: fo_term_a). 1.65/1.85 thf(decl_382, type, tsa: list_fo_term_a). 1.65/1.85 thf(decl_383, type, epred1_2: set_o > set_o > $o). 1.65/1.85 thf(decl_384, type, epred2_3: set_nat > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_385, type, epred3_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_386, type, epred4_3: set_nat > set_nat > (nat > $o) > $o). 1.65/1.85 thf(decl_387, type, epred5_2: set_o > set_o > $o). 1.65/1.85 thf(decl_388, type, epred6_4: set_nat > (nat > $o) > (nat > $o) > set_nat > $o). 1.65/1.85 thf(decl_389, type, epred7_4: set_o > ($o > $o) > ($o > $o) > set_o > $o). 1.65/1.85 thf(decl_390, type, epred8_4: set_a > (a > $o) > (a > $o) > set_a > $o). 1.65/1.85 thf(decl_391, type, epred9_2: set_o > set_o > $o). 1.65/1.85 thf(decl_392, type, epred10_4: nat > nat > (nat > $o) > (nat > $o) > $o). 1.65/1.85 thf(decl_393, type, epred11_4: nat > (nat > $o) > nat > (nat > $o) > $o). 1.65/1.85 thf(decl_394, type, epred12_4: $o > nat > ($o > $o) > (nat > $o) > $o). 1.65/1.85 thf(decl_395, type, epred13_4: nat > ($o > $o) > $o > (nat > $o) > $o). 1.65/1.85 thf(decl_396, type, epred14_4: nat > $o > (nat > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_397, type, epred15_4: $o > (nat > $o) > ($o > $o) > nat > $o). 1.65/1.85 thf(decl_398, type, epred16_4: $o > $o > ($o > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_399, type, epred17_4: $o > ($o > $o) > $o > ($o > $o) > $o). 1.65/1.85 thf(decl_400, type, epred18_3: set_nat > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_401, type, epred19_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_402, type, epred20_3: set_nat > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_403, type, epred21_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_404, type, epred22_2: set_o > set_o > $o). 1.65/1.85 thf(decl_405, type, epred23_3: $o > (nat > $o) > set_nat > $o). 1.65/1.85 thf(decl_406, type, epred24_2: set_o > set_o > $o). 1.65/1.85 thf(decl_407, type, epred25_2: set_o > set_o > $o). 1.65/1.85 thf(decl_408, type, epred26_3: set_nat > (nat > $o) > (nat > $o) > $o). 1.65/1.85 thf(decl_409, type, epred27_4: set_o > ($o > $o) > ($o > $o) > set_o > $o). 1.65/1.85 thf(decl_410, type, epred28_4: set_nat > (nat > $o) > (nat > $o) > set_nat > $o). 1.65/1.85 thf(decl_411, type, epred29_4: set_a > (a > $o) > (a > $o) > set_a > $o). 1.65/1.85 thf(decl_412, type, epred30_3: set_nat > (nat > $o) > set_nat > $o). 1.65/1.85 thf(decl_413, type, epred31_3: set_nat > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_414, type, esk1_1: produc4635856608676612327um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_415, type, esk2_1: produc4635856608676612327um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_416, type, esk3_1: produc4635856608676612327um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_417, type, esk4_1: produc4635856608676612327um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_418, type, esk5_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_419, type, esk6_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_420, type, esk7_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_421, type, esk8_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_422, type, esk9_1: produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_423, type, esk10_1: produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_424, type, esk11_1: produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_425, type, esk12_1: produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_426, type, esk13_1: produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_427, type, esk14_1: produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_428, type, esk15_1: produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_429, type, esk16_1: produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_430, type, esk17_1: (produc4970237071031658413um_a_b > $o) > sum_sum_a_b). 1.65/1.85 thf(decl_431, type, esk18_1: (produc4970237071031658413um_a_b > $o) > sum_sum_a_b). 1.65/1.85 thf(decl_432, type, esk19_1: (produc3571035918378404711um_a_b > $o) > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_433, type, esk20_1: (produc3571035918378404711um_a_b > $o) > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_434, type, esk21_1: produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_435, type, esk22_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_436, type, esk23_1: produc3571035918378404711um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_437, type, esk24_1: produc2771778909502576118um_a_b > set_a). 1.65/1.85 thf(decl_438, type, esk25_1: produc2771778909502576118um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_439, type, esk26_1: produc2771778909502576118um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_440, type, esk27_3: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_441, type, esk28_3: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_442, type, esk29_3: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_443, type, esk30_3: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > $o > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_444, type, esk31_3: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_445, type, esk32_3: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_446, type, esk33_3: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_447, type, esk34_3: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_448, type, esk35_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_449, type, esk36_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_450, type, esk37_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_451, type, esk38_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_452, type, esk39_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_453, type, esk40_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_454, type, esk41_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_455, type, esk42_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_456, type, esk43_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_457, type, esk44_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_458, type, esk45_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_459, type, esk46_2: produc3571035918378404711um_a_b > produc3571035918378404711um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_460, type, esk47_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_461, type, esk48_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_462, type, esk49_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_463, type, esk50_2: produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_464, type, esk51_1: (produc3571035918378404711um_a_b > $o) > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_465, type, esk52_1: (produc3571035918378404711um_a_b > $o) > sum_sum_a_b). 1.65/1.85 thf(decl_466, type, esk53_1: (produc3571035918378404711um_a_b > $o) > sum_sum_a_b). 1.65/1.85 thf(decl_467, type, esk54_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > fo_term_a). 1.65/1.85 thf(decl_468, type, esk55_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_469, type, esk56_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_470, type, esk57_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_471, type, esk58_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > fo_term_a). 1.65/1.85 thf(decl_472, type, esk59_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_473, type, esk60_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > fo_term_a). 1.65/1.85 thf(decl_474, type, esk61_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_475, type, esk62_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_476, type, esk63_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_477, type, esk64_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > fo_term_a). 1.65/1.85 thf(decl_478, type, esk65_3: (fo_term_a > set_nat) > set_fo_term_a > (nat > $o) > nat). 1.65/1.85 thf(decl_479, type, esk66_2: set_set_nat > (nat > $o) > set_nat). 1.65/1.85 thf(decl_480, type, esk67_2: set_set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_481, type, esk68_2: set_set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_482, type, esk69_2: set_set_a > (a > $o) > set_a). 1.65/1.85 thf(decl_483, type, esk70_2: set_set_a > (a > $o) > a). 1.65/1.85 thf(decl_484, type, esk71_2: set_set_a > (a > $o) > a). 1.65/1.85 thf(decl_485, type, esk72_2: set_set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_486, type, esk73_2: set_set_nat > (nat > $o) > set_nat). 1.65/1.85 thf(decl_487, type, esk74_2: set_set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_488, type, esk75_2: set_set_a > (a > $o) > a). 1.65/1.85 thf(decl_489, type, esk76_2: set_set_a > (a > $o) > set_a). 1.65/1.85 thf(decl_490, type, esk77_2: set_set_a > (a > $o) > a). 1.65/1.85 thf(decl_491, type, esk78_2: $o > set_set_o > set_o). 1.65/1.85 thf(decl_492, type, esk79_2: nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_493, type, esk80_2: a > set_set_a > set_a). 1.65/1.85 thf(decl_494, type, esk81_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_495, type, esk82_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 1.65/1.85 thf(decl_496, type, esk83_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_497, type, esk84_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 1.65/1.85 thf(decl_498, type, esk85_2: $o > set_set_o > set_o). 1.65/1.85 thf(decl_499, type, esk86_2: nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_500, type, esk87_2: a > set_set_a > set_a). 1.65/1.85 thf(decl_501, type, esk88_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_502, type, esk89_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_503, type, epred32_4: set_o > set_o > ($o > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_504, type, esk90_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat). 1.65/1.85 thf(decl_505, type, epred33_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o). 1.65/1.85 thf(decl_506, type, esk91_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 1.65/1.85 thf(decl_507, type, epred34_4: set_o > set_o > ($o > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_508, type, esk92_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 1.65/1.85 thf(decl_509, type, epred35_4: set_o > set_o > ($o > nat) > ($o > nat) > $o). 1.65/1.85 thf(decl_510, type, esk93_3: set_nat > (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_511, type, esk94_3: nat > (nat > nat) > set_nat > nat). 1.65/1.85 thf(decl_512, type, esk95_3: (fo_term_a > set_nat) > set_fo_term_a > (set_nat > $o) > fo_term_a). 1.65/1.85 thf(decl_513, type, esk96_3: (nat > nat) > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_514, type, esk97_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_515, type, esk98_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 1.65/1.85 thf(decl_516, type, esk99_3: (fo_term_a > set_nat) > set_fo_term_a > (set_nat > $o) > set_nat). 1.65/1.85 thf(decl_517, type, esk100_3: (nat > nat) > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_518, type, esk101_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_519, type, esk102_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_520, type, esk103_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_521, type, esk104_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_522, type, esk105_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_523, type, esk106_3: set_nat > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_524, type, esk107_3: (nat > sum_sum_a_b) > list_nat > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_525, type, esk108_3: (fo_term_a > set_a) > list_fo_term_a > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_526, type, esk109_3: nat > (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_527, type, esk110_3: set_nat > (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_528, type, esk111_3: nat > (nat > nat) > set_nat > nat). 1.65/1.85 thf(decl_529, type, epred36_3: nat > ($o > nat) > set_o > $o). 1.65/1.85 thf(decl_530, type, esk112_3: $o > (nat > $o) > set_nat > nat). 1.65/1.85 thf(decl_531, type, epred37_3: $o > ($o > $o) > set_o > $o). 1.65/1.85 thf(decl_532, type, esk113_4: (nat > sum_sum_a_b) > list_nat > sum_sum_a_b > list_Sum_sum_a_b > nat). 1.65/1.85 thf(decl_533, type, esk114_4: (nat > sum_sum_a_b) > list_nat > sum_sum_a_b > list_Sum_sum_a_b > list_nat). 1.65/1.85 thf(decl_534, type, esk115_4: (fo_term_a > set_a) > list_fo_term_a > set_a > list_set_a > fo_term_a). 1.65/1.85 thf(decl_535, type, esk116_4: (fo_term_a > set_a) > list_fo_term_a > set_a > list_set_a > list_fo_term_a). 1.65/1.85 thf(decl_536, type, esk117_4: (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_537, type, esk118_4: (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_538, type, esk119_4: sum_sum_a_b > list_Sum_sum_a_b > (nat > sum_sum_a_b) > list_nat > nat). 1.65/1.85 thf(decl_539, type, esk120_4: sum_sum_a_b > list_Sum_sum_a_b > (nat > sum_sum_a_b) > list_nat > list_nat). 1.65/1.85 thf(decl_540, type, esk121_4: set_a > list_set_a > (fo_term_a > set_a) > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_541, type, esk122_4: set_a > list_set_a > (fo_term_a > set_a) > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_542, type, esk123_4: fo_term_a > list_fo_term_a > (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_543, type, esk124_4: fo_term_a > list_fo_term_a > (fo_term_a > fo_term_a) > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_544, type, esk125_4: (nat > sum_sum_a_b) > list_nat > sum_sum_a_b > list_Sum_sum_a_b > nat). 1.65/1.85 thf(decl_545, type, esk126_4: (nat > sum_sum_a_b) > list_nat > sum_sum_a_b > list_Sum_sum_a_b > list_nat). 1.65/1.85 thf(decl_546, type, esk127_4: (fo_term_a > set_a) > list_fo_term_a > set_a > list_set_a > fo_term_a). 1.65/1.85 thf(decl_547, type, esk128_4: (fo_term_a > set_a) > list_fo_term_a > set_a > list_set_a > list_fo_term_a). 1.65/1.85 thf(decl_548, type, esk129_4: (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_549, type, esk130_4: (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_550, type, esk131_4: sum_sum_a_b > list_Sum_sum_a_b > (nat > sum_sum_a_b) > list_nat > nat). 1.65/1.85 thf(decl_551, type, esk132_4: sum_sum_a_b > list_Sum_sum_a_b > (nat > sum_sum_a_b) > list_nat > list_nat). 1.65/1.85 thf(decl_552, type, esk133_4: set_a > list_set_a > (fo_term_a > set_a) > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_553, type, esk134_4: set_a > list_set_a > (fo_term_a > set_a) > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_554, type, esk135_4: fo_term_a > list_fo_term_a > (fo_term_a > fo_term_a) > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_555, type, esk136_4: fo_term_a > list_fo_term_a > (fo_term_a > fo_term_a) > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_556, type, esk137_2: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_557, type, esk138_2: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_558, type, esk139_2: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_559, type, esk140_2: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_560, type, esk141_3: list_Sum_sum_a_b > (nat > sum_sum_a_b) > sum_sum_a_b > nat). 1.65/1.85 thf(decl_561, type, esk142_2: list_Sum_sum_a_b > (nat > sum_sum_a_b) > sum_sum_a_b). 1.65/1.85 thf(decl_562, type, esk143_2: list_Sum_sum_a_b > (nat > sum_sum_a_b) > list_nat). 1.65/1.85 thf(decl_563, type, esk144_3: list_set_a > (fo_term_a > set_a) > set_a > fo_term_a). 1.65/1.85 thf(decl_564, type, esk145_2: list_set_a > (fo_term_a > set_a) > set_a). 1.65/1.85 thf(decl_565, type, esk146_2: list_set_a > (fo_term_a > set_a) > list_fo_term_a). 1.65/1.85 thf(decl_566, type, esk147_4: list_nat > list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_567, type, esk148_4: list_fo_term_a > list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_568, type, esk149_2: list_nat > (nat > nat) > nat). 1.65/1.85 thf(decl_569, type, epred38_2: list_o > ($o > $o) > $o). 1.65/1.85 thf(decl_570, type, esk150_2: list_fo_term_a > (fo_term_a > fo_term_a) > fo_term_a). 1.65/1.85 thf(decl_571, type, esk151_2: list_set_a > (set_a > set_a) > set_a). 1.65/1.85 thf(decl_572, type, esk152_3: list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_573, type, esk153_3: list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_574, type, esk154_2: list_nat > (nat > nat) > nat). 1.65/1.85 thf(decl_575, type, epred39_2: list_o > ($o > $o) > $o). 1.65/1.85 thf(decl_576, type, esk155_2: list_fo_term_a > (fo_term_a > fo_term_a) > fo_term_a). 1.65/1.85 thf(decl_577, type, esk156_2: list_set_a > (set_a > set_a) > set_a). 1.65/1.85 thf(decl_578, type, esk157_4: list_nat > list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_579, type, esk158_4: list_nat > list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_580, type, esk159_4: list_fo_term_a > list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_581, type, esk160_4: list_fo_term_a > list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_582, type, esk161_3: list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_583, type, esk162_3: list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_584, type, esk163_4: list_nat > list_nat > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_585, type, esk164_4: list_fo_term_a > list_fo_term_a > (fo_term_a > set_a) > (fo_term_a > set_a) > fo_term_a). 1.65/1.85 thf(decl_586, type, esk165_2: nat > list_nat > list_nat). 1.65/1.85 thf(decl_587, type, esk166_2: nat > list_nat > nat). 1.65/1.85 thf(decl_588, type, esk167_2: nat > list_nat > list_nat). 1.65/1.85 thf(decl_589, type, esk168_2: $o > list_o > list_o). 1.65/1.85 thf(decl_590, type, epred40_2: $o > list_o > $o). 1.65/1.85 thf(decl_591, type, esk169_2: $o > list_o > list_o). 1.65/1.85 thf(decl_592, type, esk170_2: set_a > list_set_a > list_set_a). 1.65/1.85 thf(decl_593, type, esk171_2: set_a > list_set_a > set_a). 1.65/1.85 thf(decl_594, type, esk172_2: set_a > list_set_a > list_set_a). 1.65/1.85 thf(decl_595, type, esk173_2: fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_596, type, esk174_2: fo_term_a > list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_597, type, esk175_2: fo_term_a > list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_598, type, esk176_3: $o > (nat > set_o) > set_nat > nat). 1.65/1.85 thf(decl_599, type, epred41_3: $o > ($o > set_o) > set_o > $o). 1.65/1.85 thf(decl_600, type, esk177_3: nat > (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_601, type, esk178_3: nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_602, type, epred42_3: nat > ($o > set_nat) > set_o > $o). 1.65/1.85 thf(decl_603, type, esk179_3: a > (nat > set_a) > set_nat > nat). 1.65/1.85 thf(decl_604, type, epred43_3: a > ($o > set_a) > set_o > $o). 1.65/1.85 thf(decl_605, type, esk180_3: list_fo_term_a > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_606, type, esk181_4: fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_607, type, esk182_4: nat > set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_608, type, epred44_4: $o > set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_609, type, esk183_4: nat > set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_610, type, epred45_4: $o > set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_611, type, esk184_4: list_nat > set_a > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_612, type, esk185_4: list_fo_term_a > set_a > (fo_term_a > sum_sum_a_b) > (fo_term_a > sum_sum_a_b) > fo_term_a). 1.65/1.85 thf(decl_613, type, esk186_4: list_set_a > set_a > (set_a > sum_sum_a_b) > (set_a > sum_sum_a_b) > set_a). 1.65/1.85 thf(decl_614, type, esk187_1: (nat > $o) > nat). 1.65/1.85 thf(decl_615, type, esk188_1: (nat > $o) > nat). 1.65/1.85 thf(decl_616, type, epred46_1: set_o > $o). 1.65/1.85 thf(decl_617, type, esk189_1: set_nat > nat). 1.65/1.85 thf(decl_618, type, esk190_2: set_nat > set_nat > nat). 1.65/1.85 thf(decl_619, type, epred47_2: set_o > set_o > $o). 1.65/1.85 thf(decl_620, type, esk191_2: set_a > set_a > a). 1.65/1.85 thf(decl_621, type, esk192_1: set_set_nat > set_nat). 1.65/1.85 thf(decl_622, type, esk193_1: set_set_a > set_a). 1.65/1.85 thf(decl_623, type, epred48_1: set_o > $o). 1.65/1.85 thf(decl_624, type, esk194_1: set_set_nat > set_nat). 1.65/1.85 thf(decl_625, type, esk195_1: set_set_a > set_a). 1.65/1.85 thf(decl_626, type, epred49_1: set_o > $o). 1.65/1.85 thf(decl_627, type, esk196_2: (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_628, type, esk197_2: (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_629, type, esk198_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_630, type, esk199_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_631, type, epred50_2: set_o > $o > $o). 1.65/1.85 thf(decl_632, type, esk200_2: (a > $o) > (a > $o) > a). 1.65/1.85 thf(decl_633, type, esk201_2: (a > $o) > (a > $o) > a). 1.65/1.85 thf(decl_634, type, esk202_2: set_nat > set_nat > nat). 1.65/1.85 thf(decl_635, type, epred51_2: set_o > set_o > $o). 1.65/1.85 thf(decl_636, type, esk203_2: set_a > set_a > a). 1.65/1.85 thf(decl_637, type, epred52_1: set_o > $o). 1.65/1.85 thf(decl_638, type, esk204_1: set_nat > nat). 1.65/1.85 thf(decl_639, type, esk205_2: set_nat > set_nat > nat). 1.65/1.85 thf(decl_640, type, epred53_2: set_o > set_o > $o). 1.65/1.85 thf(decl_641, type, esk206_2: set_a > set_a > a). 1.65/1.85 thf(decl_642, type, epred54_1: set_o > $o). 1.65/1.85 thf(decl_643, type, esk207_1: set_nat > nat). 1.65/1.85 thf(decl_644, type, esk208_3: set_fo_term_a > set_nat > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_645, type, esk209_3: set_fo_term_a > set_nat > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_646, type, epred55_3: set_o > set_nat > ($o > set_nat) > $o). 1.65/1.85 thf(decl_647, type, epred56_3: set_o > set_nat > ($o > set_nat) > $o). 1.65/1.85 thf(decl_648, type, esk210_3: set_nat > set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_649, type, esk211_3: set_nat > set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_650, type, epred57_3: set_o > set_a > ($o > set_a) > $o). 1.65/1.85 thf(decl_651, type, epred58_3: set_o > set_a > ($o > set_a) > $o). 1.65/1.85 thf(decl_652, type, esk212_3: set_nat > set_a > (nat > set_a) > nat). 1.65/1.85 thf(decl_653, type, esk213_3: set_nat > set_a > (nat > set_a) > nat). 1.65/1.85 thf(decl_654, type, epred59_3: set_o > $o > ($o > $o) > $o). 1.65/1.85 thf(decl_655, type, epred60_3: set_o > $o > ($o > $o) > $o). 1.65/1.85 thf(decl_656, type, esk214_3: set_nat > $o > (nat > $o) > nat). 1.65/1.85 thf(decl_657, type, esk215_3: set_nat > $o > (nat > $o) > nat). 1.65/1.85 thf(decl_658, type, esk216_3: set_fo_term_a > (fo_term_a > set_nat) > set_set_nat > fo_term_a). 1.65/1.85 thf(decl_659, type, esk217_3: set_nat > (nat > nat) > set_nat > nat). 1.65/1.85 thf(decl_660, type, esk218_3: set_nat > (nat > $o) > set_o > nat). 1.65/1.85 thf(decl_661, type, epred61_3: set_o > ($o > nat) > set_nat > $o). 1.65/1.85 thf(decl_662, type, epred62_3: set_o > ($o > $o) > set_o > $o). 1.65/1.85 thf(decl_663, type, esk219_3: set_nat > (nat > a) > set_a > nat). 1.65/1.85 thf(decl_664, type, epred63_3: set_o > ($o > a) > set_a > $o). 1.65/1.85 thf(decl_665, type, esk220_3: set_set_nat > (fo_term_a > set_nat) > set_fo_term_a > set_fo_term_a). 1.65/1.85 thf(decl_666, type, esk221_3: set_nat > (nat > nat) > set_nat > set_nat). 1.65/1.85 thf(decl_667, type, esk222_3: set_a > (a > a) > set_a > set_a). 1.65/1.85 thf(decl_668, type, esk223_3: (fo_term_a > set_nat) > set_fo_term_a > set_set_nat > fo_term_a). 1.65/1.85 thf(decl_669, type, esk224_3: (nat > nat) > set_nat > set_nat > nat). 1.65/1.85 thf(decl_670, type, esk225_3: set_set_nat > (fo_term_a > set_nat) > set_fo_term_a > set_fo_term_a). 1.65/1.85 thf(decl_671, type, esk226_3: set_nat > (nat > nat) > set_nat > set_nat). 1.65/1.85 thf(decl_672, type, esk227_3: set_a > (a > a) > set_a > set_a). 1.65/1.85 thf(decl_673, type, esk228_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_674, type, esk229_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_675, type, esk230_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_676, type, esk231_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_677, type, esk232_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_678, type, esk233_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_679, type, esk234_1: (set_nat > set_nat > set_nat) > set_nat). 1.65/1.85 thf(decl_680, type, esk235_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_681, type, esk236_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_682, type, esk237_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_683, type, esk238_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_684, type, esk239_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_685, type, esk240_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_686, type, esk241_1: (set_a > set_a > set_a) > set_a). 1.65/1.85 thf(decl_687, type, esk242_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_688, type, esk243_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_689, type, esk244_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_690, type, esk245_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_691, type, esk246_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_692, type, esk247_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_693, type, esk248_1: (nat > nat > nat) > nat). 1.65/1.85 thf(decl_694, type, esk249_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_695, type, esk250_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_696, type, epred64_4: set_o > set_o > ($o > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_697, type, esk251_4: set_a > set_a > (a > set_nat) > (a > set_nat) > a). 1.65/1.85 thf(decl_698, type, esk252_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat). 1.65/1.85 thf(decl_699, type, epred65_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o). 1.65/1.85 thf(decl_700, type, esk253_4: set_a > set_a > (a > set_a) > (a > set_a) > a). 1.65/1.85 thf(decl_701, type, esk254_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 1.65/1.85 thf(decl_702, type, epred66_4: set_o > set_o > ($o > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_703, type, esk255_4: set_a > set_a > (a > $o) > (a > $o) > a). 1.65/1.85 thf(decl_704, type, esk256_2: list_nat > set_nat > nat). 1.65/1.85 thf(decl_705, type, epred67_2: list_o > set_o > $o). 1.65/1.85 thf(decl_706, type, esk257_2: list_fo_term_a > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_707, type, esk258_2: list_set_a > set_set_a > set_a). 1.65/1.85 thf(decl_708, type, esk259_2: list_a > set_a > a). 1.65/1.85 thf(decl_709, type, esk260_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_710, type, esk261_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_711, type, esk262_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_712, type, esk263_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_713, type, epred68_2: set_o > $o > $o). 1.65/1.85 thf(decl_714, type, epred69_2: set_o > $o > $o). 1.65/1.85 thf(decl_715, type, esk264_2: set_set_nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_716, type, esk265_2: set_set_a > set_set_a > set_a). 1.65/1.85 thf(decl_717, type, epred70_2: set_o > set_o > $o). 1.65/1.85 thf(decl_718, type, esk266_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_719, type, esk267_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_720, type, epred71_2: set_o > $o > $o). 1.65/1.85 thf(decl_721, type, esk268_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_722, type, esk269_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_723, type, epred72_2: set_o > $o > $o). 1.65/1.85 thf(decl_724, type, esk270_3: set_nat > set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_725, type, esk271_3: set_nat > set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_726, type, esk272_3: set_a > set_a > set_a > set_a). 1.65/1.85 thf(decl_727, type, esk273_3: set_a > set_a > set_a > set_a). 1.65/1.85 thf(decl_728, type, esk274_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_729, type, esk275_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_730, type, esk276_2: set_set_nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_731, type, esk277_2: set_set_a > set_set_a > set_a). 1.65/1.85 thf(decl_732, type, esk278_1: set_set_nat > set_nat). 1.65/1.85 thf(decl_733, type, esk279_1: set_set_a > set_a). 1.65/1.85 thf(decl_734, type, esk280_1: set_set_nat > set_nat). 1.65/1.85 thf(decl_735, type, esk281_1: set_set_a > set_a). 1.65/1.85 thf(decl_736, type, esk282_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 1.65/1.85 thf(decl_737, type, esk283_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 1.65/1.85 thf(decl_738, type, esk284_4: set_nat > set_o > (nat > $o) > ($o > $o) > nat). 1.65/1.85 thf(decl_739, type, epred73_4: set_nat > set_o > (nat > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_740, type, epred74_4: set_o > set_nat > ($o > $o) > (nat > $o) > $o). 1.65/1.85 thf(decl_741, type, esk285_4: set_o > set_nat > ($o > $o) > (nat > $o) > nat). 1.65/1.85 thf(decl_742, type, epred75_4: set_o > set_o > ($o > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_743, type, epred76_4: set_o > set_o > ($o > $o) > ($o > $o) > $o). 1.65/1.85 thf(decl_744, type, esk286_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_745, type, esk287_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_746, type, esk288_4: set_nat > set_o > (nat > set_nat) > ($o > set_nat) > nat). 1.65/1.85 thf(decl_747, type, epred77_4: set_nat > set_o > (nat > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_748, type, epred78_4: set_o > set_nat > ($o > set_nat) > (nat > set_nat) > $o). 1.65/1.85 thf(decl_749, type, esk289_4: set_o > set_nat > ($o > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_750, type, epred79_4: set_o > set_o > ($o > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_751, type, epred80_4: set_o > set_o > ($o > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_752, type, esk290_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat). 1.65/1.85 thf(decl_753, type, esk291_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat). 1.65/1.85 thf(decl_754, type, esk292_4: set_nat > set_o > (nat > set_a) > ($o > set_a) > nat). 1.65/1.85 thf(decl_755, type, epred81_4: set_nat > set_o > (nat > set_a) > ($o > set_a) > $o). 1.65/1.85 thf(decl_756, type, esk293_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_757, type, epred82_3: set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_758, type, esk294_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_759, type, epred83_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_760, type, esk295_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_761, type, epred84_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_762, type, esk296_3: set_nat > (nat > $o) > $o > nat). 1.65/1.85 thf(decl_763, type, esk297_3: (fo_term_a > set_nat) > set_fo_term_a > set_nat > fo_term_a). 1.65/1.85 thf(decl_764, type, esk298_2: (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_765, type, esk299_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_766, type, esk300_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_767, type, epred85_3: set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_768, type, esk301_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_769, type, epred86_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_770, type, esk302_3: set_nat > (nat > $o) > $o > nat). 1.65/1.85 thf(decl_771, type, epred87_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_772, type, esk303_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_773, type, esk304_4: set_nat > set_fo_term_a > (nat > set_nat) > (fo_term_a > set_nat) > nat). 1.65/1.85 thf(decl_774, type, epred88_4: set_o > set_fo_term_a > ($o > set_nat) > (fo_term_a > set_nat) > $o). 1.65/1.85 thf(decl_775, type, esk305_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_776, type, esk306_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > set_nat). 1.65/1.85 thf(decl_777, type, esk307_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_778, type, esk308_3: set_nat > (nat > set_nat) > set_nat > set_nat). 1.65/1.85 thf(decl_779, type, epred89_3: set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_780, type, esk309_3: set_o > ($o > set_nat) > set_nat > set_nat). 1.65/1.85 thf(decl_781, type, esk310_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_782, type, esk311_3: set_nat > (nat > set_a) > set_a > set_a). 1.65/1.85 thf(decl_783, type, epred90_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_784, type, esk312_3: set_o > ($o > set_a) > set_a > set_a). 1.65/1.85 thf(decl_785, type, esk313_3: set_nat > (nat > $o) > $o > nat). 1.65/1.85 thf(decl_786, type, epred91_3: set_nat > (nat > $o) > $o > $o). 1.65/1.85 thf(decl_787, type, epred92_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_788, type, epred93_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_789, type, esk314_3: (fo_term_a > set_nat) > set_fo_term_a > set_nat > fo_term_a). 1.65/1.85 thf(decl_790, type, esk315_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_791, type, esk316_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_792, type, epred94_3: set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_793, type, esk317_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_794, type, epred95_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_795, type, esk318_4: set_fo_term_a > set_fo_term_a > (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_796, type, esk319_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 1.65/1.85 thf(decl_797, type, epred96_4: set_o > set_o > ($o > set_nat) > ($o > set_nat) > $o). 1.65/1.85 thf(decl_798, type, esk320_4: set_a > set_a > (a > set_nat) > (a > set_nat) > a). 1.65/1.85 thf(decl_799, type, esk321_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat). 1.65/1.85 thf(decl_800, type, epred97_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o). 1.65/1.85 thf(decl_801, type, esk322_4: set_a > set_a > (a > set_a) > (a > set_a) > a). 1.65/1.85 thf(decl_802, type, esk323_2: (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_803, type, esk324_2: (fo_term_a > set_nat) > set_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_804, type, esk325_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_805, type, epred98_3: set_o > ($o > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_806, type, esk326_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_807, type, epred99_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_808, type, esk327_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_809, type, epred100_3: set_o > ($o > $o) > $o > $o). 1.65/1.85 thf(decl_810, type, esk328_3: set_nat > (nat > $o) > $o > nat). 1.65/1.85 thf(decl_811, type, epred101_3: set_o > ($o > nat) > nat > $o). 1.65/1.85 thf(decl_812, type, esk329_3: set_nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_813, type, esk330_2: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_814, type, esk331_2: set_Pr7446880501794416397um_a_b > set_Pr7446880501794416397um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_815, type, esk332_2: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_816, type, esk333_2: set_Pr8399320699097828935um_a_b > set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_817, type, esk334_2: set_nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_818, type, esk335_2: set_a > set_set_a > set_a). 1.65/1.85 thf(decl_819, type, epred102_2: $o > set_o > $o). 1.65/1.85 thf(decl_820, type, esk336_2: nat > set_nat > nat). 1.65/1.85 thf(decl_821, type, esk337_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_822, type, esk338_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_823, type, epred103_2: set_o > $o > $o). 1.65/1.85 thf(decl_824, type, esk339_2: set_nat > nat > nat). 1.65/1.85 thf(decl_825, type, esk340_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_826, type, esk341_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_827, type, esk342_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_828, type, esk343_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_829, type, epred104_2: set_o > $o > $o). 1.65/1.85 thf(decl_830, type, epred105_2: set_o > $o > $o). 1.65/1.85 thf(decl_831, type, esk344_2: set_nat > nat > nat). 1.65/1.85 thf(decl_832, type, esk345_2: set_nat > nat > nat). 1.65/1.85 thf(decl_833, type, esk346_5: set_nat > set_nat > set_a > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_834, type, esk347_3: (fo_term_a > $o) > (fo_term_a > set_nat) > set_set_nat > fo_term_a). 1.65/1.85 thf(decl_835, type, esk348_3: (nat > $o) > (nat > nat) > set_nat > nat). 1.65/1.85 thf(decl_836, type, esk349_1: (nat > nat > $o) > nat). 1.65/1.85 thf(decl_837, type, esk350_1: (nat > nat > $o) > nat). 1.65/1.85 thf(decl_838, type, esk351_1: (nat > nat > $o) > nat). 1.65/1.85 thf(decl_839, type, esk352_1: (nat > nat > $o) > nat). 1.65/1.85 thf(decl_840, type, esk353_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 1.65/1.85 thf(decl_841, type, esk354_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 1.65/1.85 thf(decl_842, type, esk355_4: set_a > (nat > set_a) > nat > nat > nat). 1.65/1.85 thf(decl_843, type, esk356_4: set_a > (nat > set_a) > nat > nat > nat). 1.65/1.85 thf(decl_844, type, esk357_4: nat > (set_a > nat) > set_a > set_a > set_a). 1.65/1.85 thf(decl_845, type, esk358_4: nat > (set_a > nat) > set_a > set_a > set_a). 1.65/1.85 thf(decl_846, type, esk359_4: nat > (nat > nat) > nat > nat > nat). 1.65/1.85 thf(decl_847, type, esk360_4: nat > (nat > nat) > nat > nat > nat). 1.65/1.85 thf(decl_848, type, esk361_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 1.65/1.85 thf(decl_849, type, esk362_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 1.65/1.85 thf(decl_850, type, esk363_4: set_a > set_a > (set_a > nat) > nat > set_a). 1.65/1.85 thf(decl_851, type, esk364_4: set_a > set_a > (set_a > nat) > nat > set_a). 1.65/1.85 thf(decl_852, type, esk365_4: nat > nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_853, type, esk366_4: nat > nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_854, type, esk367_4: nat > nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_855, type, esk368_4: nat > nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_856, type, esk369_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 1.65/1.85 thf(decl_857, type, esk370_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 1.65/1.85 thf(decl_858, type, esk371_4: nat > (set_a > nat) > set_a > set_a > set_a). 1.65/1.85 thf(decl_859, type, esk372_4: nat > (set_a > nat) > set_a > set_a > set_a). 1.65/1.85 thf(decl_860, type, esk373_4: set_a > (nat > set_a) > nat > nat > nat). 1.65/1.85 thf(decl_861, type, esk374_4: set_a > (nat > set_a) > nat > nat > nat). 1.65/1.85 thf(decl_862, type, esk375_4: nat > (nat > nat) > nat > nat > nat). 1.65/1.85 thf(decl_863, type, esk376_4: nat > (nat > nat) > nat > nat > nat). 1.65/1.85 thf(decl_864, type, esk377_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 1.65/1.85 thf(decl_865, type, esk378_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 1.65/1.85 thf(decl_866, type, esk379_4: set_a > set_a > (set_a > nat) > nat > set_a). 1.65/1.85 thf(decl_867, type, esk380_4: set_a > set_a > (set_a > nat) > nat > set_a). 1.65/1.85 thf(decl_868, type, esk381_4: nat > nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_869, type, esk382_4: nat > nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_870, type, esk383_4: nat > nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_871, type, esk384_4: nat > nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_872, type, epred106_1: set_o > $o). 1.65/1.85 thf(decl_873, type, esk385_1: set_nat > nat). 1.65/1.85 thf(decl_874, type, esk386_1: set_a > a). 1.65/1.85 thf(decl_875, type, esk387_4: list_fo_term_a > set_a > (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat). 1.65/1.85 thf(decl_876, type, esk388_3: (fo_term_a > set_nat) > set_fo_term_a > (set_set_nat > $o) > set_set_nat). 1.65/1.85 thf(decl_877, type, esk389_3: (fo_term_a > set_nat) > set_fo_term_a > (set_set_nat > $o) > set_fo_term_a). 1.65/1.85 thf(decl_878, type, esk390_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.65/1.85 thf(decl_879, type, esk391_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 1.65/1.85 thf(decl_880, type, esk392_3: (a > a) > set_a > (set_a > $o) > set_a). 1.65/1.85 thf(decl_881, type, esk393_3: (a > a) > set_a > (set_a > $o) > set_a). 1.65/1.85 thf(decl_882, type, esk394_2: set_nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_883, type, esk395_2: set_nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_884, type, epred107_2: set_o > ($o > $o > $o) > $o). 1.65/1.85 thf(decl_885, type, epred108_2: set_o > ($o > $o > $o) > $o). 1.65/1.85 thf(decl_886, type, esk396_3: set_fo_term_a > (fo_term_a > set_nat) > (set_nat > set_nat > $o) > fo_term_a). 1.65/1.85 thf(decl_887, type, esk397_3: set_fo_term_a > (fo_term_a > set_nat) > (set_nat > set_nat > $o) > fo_term_a). 1.65/1.85 thf(decl_888, type, esk398_3: set_nat > (nat > nat) > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_889, type, esk399_3: set_nat > (nat > nat) > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_890, type, esk400_3: (a > a > $o) > set_a > (a > a > $o) > a). 1.65/1.85 thf(decl_891, type, esk401_3: (a > a > $o) > set_a > (a > a > $o) > a). 1.65/1.85 thf(decl_892, type, epred109_2: set_o > ($o > set_nat) > $o). 1.65/1.85 thf(decl_893, type, esk402_2: set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_894, type, epred110_2: set_o > ($o > set_a) > $o). 1.65/1.85 thf(decl_895, type, esk403_2: set_nat > (nat > set_a) > nat). 1.65/1.85 thf(decl_896, type, epred111_2: set_o > ($o > set_nat) > $o). 1.65/1.85 thf(decl_897, type, esk404_2: set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_898, type, epred112_2: set_o > ($o > set_a) > $o). 1.65/1.85 thf(decl_899, type, esk405_2: set_nat > (nat > set_a) > nat). 1.65/1.85 thf(decl_900, type, epred113_2: set_o > ($o > set_nat) > $o). 1.65/1.85 thf(decl_901, type, esk406_2: set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_902, type, epred114_2: set_o > $o > $o). 1.65/1.85 thf(decl_903, type, esk407_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_904, type, esk408_2: set_nat > nat > nat). 1.65/1.85 thf(decl_905, type, esk409_1: set_set_a > set_a). 1.65/1.85 thf(decl_906, type, esk410_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_907, type, esk411_1: set_nat > nat). 1.65/1.85 thf(decl_908, type, esk412_2: set_nat > nat > nat). 1.65/1.85 thf(decl_909, type, epred115_1: set_o > $o). 1.65/1.85 thf(decl_910, type, esk413_1: set_set_a > set_a). 1.65/1.85 thf(decl_911, type, esk414_1: set_nat > nat). 1.65/1.85 thf(decl_912, type, esk415_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_913, type, esk416_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_914, type, epred116_3: set_o > ($o > set_a) > set_a > $o). 1.65/1.85 thf(decl_915, type, esk417_3: set_nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_916, type, epred117_3: set_o > ($o > nat) > nat > $o). 1.65/1.85 thf(decl_917, type, esk418_3: set_a > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_918, type, esk419_3: set_a > produc4970237071031658413um_a_b > $o > sum_sum_a_b). 1.65/1.85 thf(decl_919, type, esk420_2: set_a > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_920, type, esk421_2: set_a > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_921, type, esk422_2: set_a > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_922, type, esk423_2: set_a > produc4970237071031658413um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_923, type, esk424_2: set_set_nat > set_nat > set_nat). 1.65/1.85 thf(decl_924, type, esk425_2: set_set_a > set_a > set_a). 1.65/1.85 thf(decl_925, type, epred118_2: set_o > $o > $o). 1.65/1.85 thf(decl_926, type, esk426_2: set_nat > nat > nat). 1.65/1.85 thf(decl_927, type, esk427_2: set_set_nat > set_set_nat > set_nat). 1.65/1.85 thf(decl_928, type, esk428_2: set_set_a > set_set_a > set_a). 1.65/1.85 thf(decl_929, type, epred119_2: set_o > set_o > $o). 1.65/1.85 thf(decl_930, type, esk429_2: set_nat > set_nat > nat). 1.65/1.85 thf(decl_931, type, esk430_3: set_fo_term_a > (fo_term_a > set_nat) > set_nat > fo_term_a). 1.65/1.85 thf(decl_932, type, esk431_3: set_nat > (nat > set_nat) > set_nat > nat). 1.65/1.85 thf(decl_933, type, esk432_3: set_nat > (nat > set_a) > set_a > nat). 1.65/1.85 thf(decl_934, type, esk433_3: set_nat > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_935, type, esk434_4: set_fo_term_a > (fo_term_a > set_nat) > set_fo_term_a > (fo_term_a > set_nat) > fo_term_a). 1.65/1.85 thf(decl_936, type, epred120_4: set_o > (fo_term_a > set_nat) > set_fo_term_a > ($o > set_nat) > $o). 1.65/1.85 thf(decl_937, type, esk435_4: set_nat > (fo_term_a > set_nat) > set_fo_term_a > (nat > set_nat) > nat). 1.65/1.85 thf(decl_938, type, epred121_4: set_o > (nat > nat) > set_nat > ($o > nat) > $o). 1.65/1.85 thf(decl_939, type, esk436_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 1.65/1.85 thf(decl_940, type, epred122_4: set_o > ($o > $o) > set_o > ($o > $o) > $o). 1.65/1.85 thf(decl_941, type, esk437_4: set_nat > (nat > $o) > set_nat > (nat > $o) > nat). 1.65/1.85 thf(decl_942, type, esk438_4: set_a > (a > $o) > set_a > (a > $o) > a). 1.65/1.85 thf(decl_943, type, epred123_4: set_o > ($o > nat) > set_o > ($o > nat) > $o). 1.65/1.85 thf(decl_944, type, esk439_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 1.65/1.85 thf(decl_945, type, esk440_4: set_a > (a > nat) > set_a > (a > nat) > a). 1.65/1.85 thf(decl_946, type, epred124_4: set_o > ($o > set_nat) > set_o > ($o > set_nat) > $o). 1.65/1.85 thf(decl_947, type, esk441_4: set_nat > (nat > set_nat) > set_nat > (nat > set_nat) > nat). 1.65/1.85 thf(decl_948, type, esk442_4: set_a > (a > set_nat) > set_a > (a > set_nat) > a). 1.65/1.85 thf(decl_949, type, epred125_4: set_o > ($o > set_a) > set_o > ($o > set_a) > $o). 1.65/1.85 thf(decl_950, type, esk443_2: nat > set_nat > set_nat). 1.65/1.85 thf(decl_951, type, esk444_2: $o > set_o > set_o). 1.65/1.85 thf(decl_952, type, esk445_4: nat > set_nat > nat > set_nat > set_nat). 1.65/1.85 thf(decl_953, type, esk446_4: $o > set_o > $o > set_o > set_o). 1.65/1.85 thf(decl_954, type, esk447_2: nat > set_nat > set_nat). 1.65/1.85 thf(decl_955, type, esk448_2: $o > set_o > set_o). 1.65/1.85 thf(decl_956, type, esk449_3: (nat > nat > $o) > nat > set_nat > nat). 1.65/1.85 thf(decl_957, type, epred126_3: ($o > $o > $o) > $o > set_o > $o). 1.65/1.85 thf(decl_958, type, epred127_1: set_o > $o). 1.65/1.85 thf(decl_959, type, epred128_1: set_o > $o). 1.65/1.85 thf(decl_960, type, esk450_1: set_nat > nat). 1.65/1.85 thf(decl_961, type, esk451_1: set_nat > nat). 1.65/1.85 thf(decl_962, type, esk452_1: set_nat > nat). 1.65/1.85 thf(decl_963, type, esk453_1: set_nat > nat). 1.65/1.85 thf(decl_964, type, esk454_1: list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_965, type, esk455_1: list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_966, type, esk456_2: list_fo_term_a > (list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_967, type, esk457_2: list_fo_term_a > (list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_968, type, esk458_2: list_fo_term_a > (list_fo_term_a > $o) > list_fo_term_a). 1.65/1.85 thf(decl_969, type, esk459_1: (list_fo_term_a > list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_970, type, esk460_1: (list_fo_term_a > list_fo_term_a > $o) > list_fo_term_a). 1.65/1.85 thf(decl_971, type, esk461_1: (list_fo_term_a > list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_972, type, esk462_1: (list_fo_term_a > list_fo_term_a > $o) > list_fo_term_a). 1.65/1.85 thf(decl_973, type, esk463_1: (list_fo_term_a > list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_974, type, esk464_1: (list_fo_term_a > list_fo_term_a > $o) > list_fo_term_a). 1.65/1.85 thf(decl_975, type, esk465_1: (list_fo_term_a > list_fo_term_a > $o) > fo_term_a). 1.65/1.85 thf(decl_976, type, esk466_1: (list_fo_term_a > list_fo_term_a > $o) > list_fo_term_a). 1.65/1.85 thf(decl_977, type, esk467_1: list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_978, type, esk468_1: list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_979, type, esk469_1: list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_980, type, esk470_1: list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_981, type, esk471_1: list_list_fo_term_a > list_list_fo_term_a). 1.65/1.85 thf(decl_982, type, esk472_1: list_list_fo_term_a > fo_term_a). 1.65/1.85 thf(decl_983, type, esk473_1: list_list_fo_term_a > list_fo_term_a). 1.65/1.85 thf(decl_984, type, esk474_1: list_list_fo_term_a > list_list_fo_term_a). 1.65/1.85 thf(decl_985, type, epred129_1: produc6979806214577974775term_a > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_986, type, epred130_1: produc6979806214577974775term_a > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_987, type, esk475_1: produc6979806214577974775term_a > fo_term_a). 1.65/1.85 thf(decl_988, type, epred131_1: produc6979806214577974775term_a > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_989, type, esk476_1: produc6979806214577974775term_a > fo_term_a). 1.65/1.85 thf(decl_990, type, esk477_1: produc6979806214577974775term_a > fo_term_a). 1.65/1.85 thf(decl_991, type, esk478_1: produc6979806214577974775term_a > list_fo_term_a). 1.65/1.85 thf(decl_992, type, epred132_1: produc6979806214577974775term_a > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_993, type, epred133_1: produc6979806214577974775term_a > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_994, type, esk479_1: produc6979806214577974775term_a > fo_term_a). 1.65/1.85 thf(decl_995, type, esk480_1: produc6979806214577974775term_a > list_fo_term_a). 1.65/1.85 thf(decl_996, type, esk481_4: list_fo_term_a > list_fo_term_a > produc1862286084049253159term_a > list_P5997994576843812653term_a > fo_term_a). 1.65/1.85 thf(decl_997, type, esk482_4: list_fo_term_a > list_fo_term_a > produc1862286084049253159term_a > list_P5997994576843812653term_a > list_fo_term_a). 1.65/1.85 thf(decl_998, type, esk483_4: list_fo_term_a > list_fo_term_a > produc1862286084049253159term_a > list_P5997994576843812653term_a > fo_term_a). 1.65/1.85 thf(decl_999, type, esk484_4: list_fo_term_a > list_fo_term_a > produc1862286084049253159term_a > list_P5997994576843812653term_a > list_fo_term_a). 1.65/1.85 thf(decl_1000, type, esk485_4: list_Sum_sum_a_b > list_Sum_sum_a_b > produc4970237071031658413um_a_b > list_P911570089447184179um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_1001, type, esk486_4: list_Sum_sum_a_b > list_Sum_sum_a_b > produc4970237071031658413um_a_b > list_P911570089447184179um_a_b > list_Sum_sum_a_b). 1.65/1.85 thf(decl_1002, type, esk487_4: list_Sum_sum_a_b > list_Sum_sum_a_b > produc4970237071031658413um_a_b > list_P911570089447184179um_a_b > sum_sum_a_b). 1.65/1.85 thf(decl_1003, type, esk488_4: list_Sum_sum_a_b > list_Sum_sum_a_b > produc4970237071031658413um_a_b > list_P911570089447184179um_a_b > list_Sum_sum_a_b). 1.65/1.85 thf(decl_1004, type, esk489_4: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > produc3571035918378404711um_a_b > list_P8078827403608860013um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_1005, type, esk490_4: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > produc3571035918378404711um_a_b > list_P8078827403608860013um_a_b > list_P911570089447184179um_a_b). 1.65/1.85 thf(decl_1006, type, esk491_4: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > produc3571035918378404711um_a_b > list_P8078827403608860013um_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_1007, type, esk492_4: list_P911570089447184179um_a_b > list_P911570089447184179um_a_b > produc3571035918378404711um_a_b > list_P8078827403608860013um_a_b > list_P911570089447184179um_a_b). 1.65/1.85 thf(decl_1008, type, esk493_2: (nat > $o) > nat > nat). 1.65/1.85 thf(decl_1009, type, esk494_1: (nat > $o) > nat). 1.65/1.85 thf(decl_1010, type, esk495_2: nat > nat > nat). 1.65/1.85 thf(decl_1011, type, esk496_1: (nat > $o) > nat). 1.65/1.85 thf(decl_1012, type, esk497_3: nat > nat > (nat > $o) > nat). 1.65/1.85 thf(decl_1013, type, esk498_3: nat > nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_1014, type, esk499_3: nat > nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_1015, type, esk500_3: nat > nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_1016, type, esk501_3: nat > nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_1017, type, esk502_3: nat > nat > (nat > nat > $o) > nat). 1.65/1.85 thf(decl_1018, type, esk503_2: (nat > $o) > nat > nat). 1.65/1.85 thf(decl_1019, type, esk504_1: (nat > $o) > nat). 1.65/1.85 thf(decl_1020, type, esk505_3: set_nat > (nat > $o) > $o > nat). 1.65/1.85 thf(decl_1021, type, epred134_1: set_nat > nat > $o). 1.65/1.85 thf(decl_1022, type, epred135_1: set_o > $o > $o). 1.65/1.85 thf(decl_1023, type, esk506_0: nat > nat). 1.65/1.85 thf(decl_1024, type, esk507_0: set_nat > set_nat). 1.65/1.85 thf(decl_1025, type, esk508_0: set_a > set_a). 1.65/1.85 thf(decl_1026, type, epred136_0: $o > $o). 1.65/1.85 thf(decl_1027, type, epred137_2: set_o > set_o > $o > $o). 1.65/1.85 thf(decl_1028, type, epred138_2: set_nat > set_nat > nat > $o). 1.65/1.85 thf(decl_1029, type, esk509_2: (fo_term_a > set_nat) > (set_nat > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1030, type, esk510_2: (fo_term_a > fo_term_a) > (fo_term_a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1031, type, esk511_2: (nat > nat) > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_1032, type, epred139_3: (set_nat > $o) > set_fo_term_a > (fo_term_a > set_nat) > set_nat > $o). 1.65/1.85 thf(decl_1033, type, epred140_3: (fo_term_a > set_nat) > set_fo_term_a > (set_nat > $o) > fo_term_a > $o). 1.65/1.85 thf(decl_1034, type, epred141_3: (nat > $o) > set_nat > (nat > nat) > nat > $o). 1.65/1.85 thf(decl_1035, type, epred142_3: (nat > nat) > set_nat > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_1036, type, epred143_3: (nat > $o) > set_o > ($o > nat) > nat > $o). 1.65/1.85 thf(decl_1037, type, epred144_3: ($o > nat) > set_o > (nat > $o) > $o > $o). 1.65/1.85 thf(decl_1038, type, epred145_3: ($o > $o) > set_nat > (nat > $o) > $o > $o). 1.65/1.85 thf(decl_1039, type, epred146_3: (nat > $o) > set_nat > ($o > $o) > nat > $o). 1.65/1.85 thf(decl_1040, type, epred147_3: ($o > $o) > ($o > $o) > set_o > $o > $o). 1.65/1.85 thf(decl_1041, type, epred148_3: ($o > $o) > ($o > $o) > set_o > $o > $o). 1.65/1.85 thf(decl_1042, type, epred149_0: set_o > $o > $o). 1.65/1.85 thf(decl_1043, type, epred150_0: set_nat > nat > $o). 1.65/1.85 thf(decl_1044, type, epred151_0: set_a > a > $o). 1.65/1.85 thf(decl_1045, type, epred152_1: set_Pr7446880501794416397um_a_b > sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.85 thf(decl_1046, type, epred153_1: set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.85 thf(decl_1047, type, epred154_2: (nat > $o) > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_1048, type, epred155_0: set_Pr7446880501794416397um_a_b > sum_sum_a_b > sum_sum_a_b > $o). 1.65/1.85 thf(decl_1049, type, epred156_0: set_Pr8399320699097828935um_a_b > produc4970237071031658413um_a_b > produc4970237071031658413um_a_b > $o). 1.65/1.85 thf(decl_1050, type, epred157_1: set_set_o > $o > $o). 1.65/1.85 thf(decl_1051, type, epred158_1: set_set_nat > nat > $o). 1.65/1.85 thf(decl_1052, type, epred159_1: set_set_a > a > $o). 1.65/1.85 thf(decl_1053, type, epred160_1: (fo_term_a > set_nat) > fo_term_a > nat > $o). 1.65/1.85 thf(decl_1054, type, esk512_2: set_fo_term_a > (fo_term_a > fo_term_a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1055, type, esk513_1: (fo_term_a > fo_term_a > set_nat) > fo_term_a > fo_term_a > set_nat). 1.65/1.85 thf(decl_1056, type, esk514_2: (fo_term_a > set_fo_term_a) > (fo_term_a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1057, type, esk515_2: (fo_term_a > set_nat) > (nat > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1058, type, esk516_2: (fo_term_a > set_a) > (a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1059, type, esk517_2: (fo_term_a > set_nat) > (nat > set_a) > fo_term_a > set_a). 1.65/1.85 thf(decl_1060, type, esk518_1: (fo_term_a > set_nat) > set_fo_term_a > set_nat). 1.65/1.85 thf(decl_1061, type, esk519_1: (nat > set_nat) > set_nat > set_nat). 1.65/1.85 thf(decl_1062, type, esk520_1: (a > set_nat) > set_a > set_nat). 1.65/1.85 thf(decl_1063, type, esk521_1: (nat > set_a) > set_nat > set_a). 1.65/1.85 thf(decl_1064, type, esk522_1: (a > set_a) > set_a > set_a). 1.65/1.85 thf(decl_1065, type, esk523_2: (fo_term_a > set_nat) > (fo_term_a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1066, type, esk524_2: (fo_term_a > set_nat) > (nat > a) > fo_term_a > set_a). 1.65/1.85 thf(decl_1067, type, esk525_2: (fo_term_a > set_a) > (a > nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1068, type, esk526_2: (nat > nat) > (nat > set_nat) > nat > set_nat). 1.65/1.85 thf(decl_1069, type, esk527_2: (fo_term_a > set_nat) > (set_nat > set_a) > fo_term_a > set_a). 1.65/1.85 thf(decl_1070, type, esk528_2: (nat > nat) > (nat > set_a) > nat > set_a). 1.65/1.85 thf(decl_1071, type, epred161_2: (fo_term_a > set_nat) > (nat > $o) > fo_term_a > $o). 1.65/1.85 thf(decl_1072, type, esk529_1: (fo_term_a > list_fo_term_a) > fo_term_a > set_fo_term_a). 1.65/1.85 thf(decl_1073, type, esk530_1: (set_a > list_fo_term_a) > set_a > set_fo_term_a). 1.65/1.85 thf(decl_1074, type, esk531_1: (fo_term_a > list_set_a) > fo_term_a > set_set_a). 1.65/1.85 thf(decl_1075, type, esk532_1: (set_a > list_set_a) > set_a > set_set_a). 1.65/1.85 thf(decl_1076, type, esk533_1: (fo_term_a > list_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1077, type, esk534_1: (set_a > list_nat) > set_a > set_nat). 1.65/1.85 thf(decl_1078, type, esk535_1: (fo_term_a > list_a) > fo_term_a > set_a). 1.65/1.85 thf(decl_1079, type, esk536_1: (set_a > list_a) > set_a > set_a). 1.65/1.85 thf(decl_1080, type, esk537_1: list_nat > (nat > sum_sum_a_b) > list_Sum_sum_a_b). 1.65/1.85 thf(decl_1081, type, esk538_2: set_nat > (fo_term_a > set_nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1082, type, esk539_2: set_nat > (nat > set_nat) > nat > set_nat). 1.65/1.85 thf(decl_1083, type, esk540_2: set_a > (nat > set_a) > nat > set_a). 1.65/1.85 thf(decl_1084, type, esk541_2: (nat > set_nat) > set_nat > nat > set_nat). 1.65/1.85 thf(decl_1085, type, esk542_2: (nat > set_a) > set_a > nat > set_a). 1.65/1.85 thf(decl_1086, type, esk543_0: fo_term_a > set_nat). 1.65/1.85 thf(decl_1087, type, esk544_1: set_nat > fo_term_a > set_nat). 1.65/1.85 thf(decl_1088, type, esk545_1: set_nat > nat > set_nat). 1.65/1.85 thf(decl_1089, type, esk546_1: set_a > nat > set_a). 1.65/1.85 thf(decl_1090, type, epred162_0: nat > $o). 1.65/1.85 thf(decl_1091, type, epred163_0: nat > $o). 1.65/1.85 thf(decl_1092, type, epred164_2: (nat > $o) > set_nat > nat > $o). 1.65/1.85 thf(decl_1093, type, epred165_2: ($o > $o) > set_o > $o > $o). 1.65/1.85 thf(decl_1094, type, epred166_2: (a > $o) > set_a > a > $o). 1.65/1.85 thf(decl_1095, type, epred167_0: nat > $o). 1.65/1.85 thf(decl_1096, type, epred168_1: $o > nat > $o). 1.65/1.85 thf(decl_1097, type, esk547_1: nat > nat > nat). 1.65/1.85 thf(decl_1098, type, epred169_1: set_a > a > $o). 1.65/1.85 thf(decl_1099, type, epred170_2: (a > $o) > (a > $o) > a > $o). 1.65/1.85 thf(decl_1100, type, epred171_2: set_list_Sum_sum_a_b > list_fo_term_a > (nat > sum_sum_a_b) > $o). 1.65/1.85 thf(decl_1101, type, esk548_2: (nat > sum_sum_a_b) > (nat > sum_sum_a_b) > nat > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_1102, type, epred172_2: (fo_term_a > set_nat) > (set_nat > set_nat > $o) > fo_term_a > fo_term_a > $o). 1.65/1.85 thf(decl_1103, type, epred173_2: (nat > nat) > (nat > nat > $o) > nat > nat > $o). 1.65/1.85 thf(decl_1104, type, epred174_2: ($o > set_nat) > (nat > $o) > $o > $o). 1.65/1.85 thf(decl_1105, type, esk549_2: ($o > set_nat) > (nat > $o) > $o > set_o). 1.65/1.85 thf(decl_1106, type, epred175_2: (nat > set_nat) > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_1107, type, esk550_2: (nat > set_nat) > (nat > $o) > nat > set_o). 1.65/1.85 thf(decl_1108, type, epred176_2: ($o > set_a) > (a > $o) > $o > $o). 1.65/1.85 thf(decl_1109, type, esk551_2: ($o > set_a) > (a > $o) > $o > set_o). 1.65/1.85 thf(decl_1110, type, epred177_2: (nat > set_a) > (a > $o) > nat > $o). 1.65/1.85 thf(decl_1111, type, esk552_2: (nat > set_a) > (a > $o) > nat > set_o). 1.65/1.85 thf(decl_1112, type, esk553_2: ($o > set_nat) > (nat > nat) > $o > nat). 1.65/1.85 thf(decl_1113, type, esk554_2: ($o > set_nat) > (nat > nat) > $o > set_nat). 1.65/1.85 thf(decl_1114, type, esk555_2: (nat > set_nat) > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_1115, type, esk556_2: (nat > set_nat) > (nat > nat) > nat > set_nat). 1.65/1.85 thf(decl_1116, type, esk557_2: ($o > set_a) > (a > nat) > $o > nat). 1.65/1.85 thf(decl_1117, type, esk558_2: ($o > set_a) > (a > nat) > $o > set_nat). 1.65/1.85 thf(decl_1118, type, esk559_2: (nat > set_a) > (a > nat) > nat > nat). 1.65/1.85 thf(decl_1119, type, esk560_2: (nat > set_a) > (a > nat) > nat > set_nat). 1.65/1.85 thf(decl_1120, type, esk561_2: ($o > set_nat) > (nat > set_nat) > $o > set_nat). 1.65/1.85 thf(decl_1121, type, esk562_2: ($o > set_nat) > (nat > set_nat) > $o > set_set_nat). 1.65/1.85 thf(decl_1122, type, esk563_2: (nat > set_nat) > (nat > set_nat) > nat > set_nat). 1.65/1.85 thf(decl_1123, type, esk564_2: (nat > set_nat) > (nat > set_nat) > nat > set_set_nat). 1.65/1.85 thf(decl_1124, type, esk565_2: (nat > nat) > (nat > nat) > nat > nat). 1.65/1.85 thf(decl_1125, type, esk566_2: (nat > set_nat) > (nat > set_nat) > nat > set_nat). 1.65/1.85 thf(decl_1126, type, esk567_2: (nat > set_a) > (nat > set_a) > nat > set_a). 1.65/1.85 thf(decl_1127, type, epred178_2: (nat > $o) > (nat > $o) > nat > $o). 1.65/1.85 thf(decl_1128, type, epred179_2: list_fo_term_a > nat > list_fo_term_a > $o). 1.65/1.85 thf(decl_1129, type, epred180_2: list_set_a > nat > list_set_a > $o). 1.65/1.85 thf(decl_1130, type, epred181_2: list_a > nat > list_a > $o). 1.65/1.85 thf(decl_1131, type, epred182_2: set_fo_term_a > nat > list_fo_term_a > $o). 1.65/1.85 thf(decl_1132, type, epred183_2: set_set_a > nat > list_set_a > $o). 1.65/1.85 thf(decl_1133, type, epred184_2: set_a > nat > list_a > $o). 1.65/1.85 thf(decl_1134, type, epred185_1: nat > nat > $o). 1.65/1.85 thf(decl_1135, type, esk568_0: nat > set_nat). 1.65/1.85 thf(decl_1136, type, esk569_0: a > set_a). 1.65/1.85 thf(decl_1137, type, esk570_2: (nat > set_nat) > nat > nat > set_nat). 1.65/1.85 thf(decl_1138, type, esk571_2: (nat > set_a) > a > nat > set_a). 1.65/1.85 thf(decl_1139, type, epred186_2: set_nat > nat > nat > $o). 1.65/1.85 thf(decl_1140, type, epred187_2: set_o > $o > $o > $o). 1.65/1.85 thf(decl_1141, type, epred188_2: (nat > $o) > nat > nat > $o). 1.65/1.85 thf(decl_1142, type, epred189_2: (nat > $o) > nat > nat > $o). 1.65/1.85 thf(decl_1143, type, esk572_1: nat > $o > nat). 1.65/1.85 thf(decl_1144, type, esk573_2: ($o > set_nat) > nat > $o > set_nat). 1.65/1.85 thf(decl_1145, type, esk574_2: ($o > set_a) > a > $o > set_a). 1.65/1.85 thf(decl_1146, type, esk575_1: (fo_term_a > set_nat) > fo_term_a > set_set_nat). 1.65/1.85 thf(decl_1147, type, esk576_1: (nat > nat) > nat > set_nat). 1.65/1.85 thf(decl_1148, type, esk577_1: (fo_term_a > nat) > fo_term_a > set_nat). 1.65/1.85 thf(decl_1149, type, esk578_1: (nat > sum_sum_a_b) > nat > list_Sum_sum_a_b). 1.65/1.85 thf(decl_1150, type, esk579_1: (fo_term_a > set_a) > fo_term_a > list_set_a). 1.65/1.85 thf(decl_1151, type, esk580_0: sum_sum_a_b > produc4970237071031658413um_a_b). 1.65/1.85 thf(decl_1152, type, esk581_0: produc4970237071031658413um_a_b > produc3571035918378404711um_a_b). 1.65/1.85 thf(decl_1153, type, epred190_1: set_a > set_a > $o). 1.65/1.85 thf(decl_1154, type, esk582_0: nat > sum_sum_a_b). 1.65/1.85 thf(decl_1155, type, esk583_0: nat). 1.65/1.85 thf(decl_1156, type, esk584_1: set_nat > nat). 1.65/1.85 thf(decl_1157, type, esk585_0: nat). 1.65/1.85 thf(decl_1158, type, esk586_1: nat > nat). 1.65/1.85 thf(decl_1159, type, esk587_1: nat > nat). 1.65/1.85 thf(decl_1160, type, esk588_1: set_set_nat > nat). 1.65/1.85 thf(decl_1161, type, esk589_1: nat > nat). 1.65/1.85 thf(decl_1162, type, esk590_1: nat > nat). 1.65/1.85 thf(decl_1163, type, esk591_1: set_nat > nat). 1.65/1.85 thf(decl_1164, type, esk592_0: nat). 1.65/1.85 thf(decl_1165, type, esk593_1: set_set_nat > nat). 1.65/1.85 thf(decl_1166, type, esk594_0: nat). 1.65/1.85 thf(fact_731_fv__fo__terms__set__def, axiom, ((fv_fo_terms_set_a)=(^[X2143:list_fo_term_a]:(comple7399068483239264473et_nat @ (set_set_nat2 @ (map_fo6830463384567567482et_nat @ fv_fo_term_set_a @ X2143))))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_731_fv__fo__terms__set__def)). 1.65/1.85 thf(fact_167_list_Oset__map, axiom, ![X258:fo_term_a > set_nat, X490:list_fo_term_a]:(((set_set_nat2 @ (map_fo6830463384567567482et_nat @ X258 @ X490))=(image_4076968986711908345et_nat @ X258 @ (set_fo_term_a2 @ X490)))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_167_list_Oset__map)). 1.65/1.85 thf(fact_113_inf__sup__aci_I5_J, axiom, ((sup_sup_set_nat)=(^[X348:set_nat, X349:set_nat]:(sup_sup_set_nat @ X349 @ X348))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_113_inf__sup__aci_I5_J)). 1.65/1.85 thf(fact_1126_fv__fo__term__set_Osimps_I1_J, axiom, ![X236:nat]:(((fv_fo_term_set_a @ (fo_Var_a @ X236))=(insert_nat @ X236 @ bot_bot_set_nat))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_1126_fv__fo__term__set_Osimps_I1_J)). 1.65/1.85 thf(fact_0_ad__equiv, axiom, ![X1:nat]:(((member_nat @ X1 @ (sup_sup_set_nat @ (fv_fo_term_set_a @ t) @ (comple7399068483239264473et_nat @ (image_4076968986711908345et_nat @ fv_fo_term_set_a @ (set_fo_term_a2 @ tsa)))))=>(ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ X1) @ (tau @ X1))))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_0_ad__equiv)). 1.65/1.85 thf(fact_1049_singleton__conv, axiom, ![X3102:nat]:(((collect_nat @ (^[X3103:nat]:(((X3103)=(X3102)))))=(insert_nat @ X3102 @ bot_bot_set_nat))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_1049_singleton__conv)). 1.65/1.85 thf(fact_5_t__def, axiom, ((t)=(fo_Var_a @ n)), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_5_t__def)). 1.65/1.85 thf(fact_1110_Set_Oinsert__def, axiom, ((insert_nat)=(^[X3263:nat]:(sup_sup_set_nat @ (collect_nat @ (^[X3264:nat]:(((X3264)=(X3263)))))))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_1110_Set_Oinsert__def)). 1.65/1.85 thf(conj_0, conjecture, (ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ n) @ (tau @ n))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', conj_0)). 1.65/1.85 thf(fact_1098_insertI1, axiom, ![X3228:nat, X3229:set_nat]:((member_nat @ X3228 @ (insert_nat @ X3228 @ X3229))), file('/export/starexec/sandbox/tmp/tmp.mAF8pYCdwr/Vampire---4.8_7074', fact_1098_insertI1)). 1.65/1.85 thf(c_0_10, plain, ![X7432:list_fo_term_a]:(((fv_fo_terms_set_a @ X7432)=(comple7399068483239264473et_nat @ (set_set_nat2 @ (map_fo6830463384567567482et_nat @ fv_fo_term_set_a @ X7432))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_731_fv__fo__terms__set__def])])). 1.65/1.85 thf(c_0_11, plain, ![X10101:list_fo_term_a]:(((fv_fo_terms_set_a @ X10101)=(comple7399068483239264473et_nat @ (set_set_nat2 @ (map_fo6830463384567567482et_nat @ fv_fo_term_set_a @ X10101))))), inference(variable_rename,[status(thm)],[c_0_10])). 1.65/1.85 thf(c_0_12, plain, ![X8150:fo_term_a > set_nat, X8151:list_fo_term_a]:(((set_set_nat2 @ (map_fo6830463384567567482et_nat @ X8150 @ X8151))=(image_4076968986711908345et_nat @ X8150 @ (set_fo_term_a2 @ X8151)))), inference(variable_rename,[status(thm)],[fact_167_list_Oset__map])). 1.65/1.85 thf(c_0_13, plain, ![X7343:set_nat, X7344:set_nat]:(((sup_sup_set_nat @ X7343 @ X7344)=(sup_sup_set_nat @ X7344 @ X7343))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_113_inf__sup__aci_I5_J])])). 1.65/1.85 thf(c_0_14, plain, ![X11346:nat]:(((fv_fo_term_set_a @ (fo_Var_a @ X11346))=(insert_nat @ X11346 @ bot_bot_set_nat))), inference(variable_rename,[status(thm)],[fact_1126_fv__fo__term__set_Osimps_I1_J])). 1.65/1.85 thf(c_0_15, plain, ![X12539:nat]:(((esk568_0 @ X12539)=(insert_nat @ X12539 @ bot_bot_set_nat))), inference(variable_rename,[status(thm)],[])). 1.65/1.85 thf(c_0_16, plain, ![X7491:nat]:((~(member_nat @ X7491 @ (sup_sup_set_nat @ (fv_fo_term_set_a @ t) @ (comple7399068483239264473et_nat @ (image_4076968986711908345et_nat @ fv_fo_term_set_a @ (set_fo_term_a2 @ tsa)))))|(ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ X7491) @ (tau @ X7491))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_ad__equiv])])). 1.65/1.85 thf(c_0_17, plain, ![X411:list_fo_term_a]:(((fv_fo_terms_set_a @ X411)=(comple7399068483239264473et_nat @ (set_set_nat2 @ (map_fo6830463384567567482et_nat @ fv_fo_term_set_a @ X411))))), inference(split_conjunct,[status(thm)],[c_0_11])). 1.65/1.85 thf(c_0_18, plain, ![X91:fo_term_a > set_nat, X411:list_fo_term_a]:(((set_set_nat2 @ (map_fo6830463384567567482et_nat @ X91 @ X411))=(image_4076968986711908345et_nat @ X91 @ (set_fo_term_a2 @ X411)))), inference(split_conjunct,[status(thm)],[c_0_12])). 1.65/1.85 thf(c_0_19, plain, ![X7971:set_nat, X7972:set_nat]:(((sup_sup_set_nat @ X7971 @ X7972)=(sup_sup_set_nat @ X7972 @ X7971))), inference(variable_rename,[status(thm)],[c_0_13])). 1.65/1.85 thf(c_0_20, plain, ![X1:nat]:(((fv_fo_term_set_a @ (fo_Var_a @ X1))=(insert_nat @ X1 @ bot_bot_set_nat))), inference(split_conjunct,[status(thm)],[c_0_14])). 1.65/1.85 thf(c_0_21, plain, ![X1:nat]:(((esk568_0 @ X1)=(insert_nat @ X1 @ bot_bot_set_nat))), inference(split_conjunct,[status(thm)],[c_0_15])). 1.65/1.85 thf(c_0_22, plain, ![X3102:nat]:(((collect_nat @ (^[Z0:nat]:(((Z0)=(X3102)))))=(insert_nat @ X3102 @ bot_bot_set_nat))), inference(fof_simplification,[status(thm)],[fact_1049_singleton__conv])). 1.65/1.85 thf(c_0_23, plain, ![X1:nat]:(((ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ X1) @ (tau @ X1)))|~((member_nat @ X1 @ (sup_sup_set_nat @ (fv_fo_term_set_a @ t) @ (comple7399068483239264473et_nat @ (image_4076968986711908345et_nat @ fv_fo_term_set_a @ (set_fo_term_a2 @ tsa)))))))), inference(split_conjunct,[status(thm)],[c_0_16])). 1.65/1.85 thf(c_0_24, plain, ![X411:list_fo_term_a]:(((comple7399068483239264473et_nat @ (image_4076968986711908345et_nat @ fv_fo_term_set_a @ (set_fo_term_a2 @ X411)))=(fv_fo_terms_set_a @ X411))), inference(rw,[status(thm)],[c_0_17, c_0_18])). 1.65/1.85 thf(c_0_25, plain, ![X134:set_nat, X124:set_nat]:(((sup_sup_set_nat @ X124 @ X134)=(sup_sup_set_nat @ X134 @ X124))), inference(split_conjunct,[status(thm)],[c_0_19])). 1.65/1.85 thf(c_0_26, plain, ![X1:nat]:(((fv_fo_term_set_a @ (fo_Var_a @ X1))=(esk568_0 @ X1))), inference(rw,[status(thm)],[c_0_20, c_0_21])). 1.65/1.85 thf(c_0_27, plain, ((t)=(fo_Var_a @ n)), inference(split_conjunct,[status(thm)],[fact_5_t__def])). 1.65/1.85 thf(c_0_28, plain, ![X7485:nat]:(((insert_nat @ X7485)=(sup_sup_set_nat @ (collect_nat @ (^[Z0:nat]:(((Z0)=(X7485)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1110_Set_Oinsert__def])])). 1.65/1.85 thf(c_0_29, plain, ![X11149:nat]:(((collect_nat @ (^[Z0:nat]:(((Z0)=(X11149)))))=(insert_nat @ X11149 @ bot_bot_set_nat))), inference(variable_rename,[status(thm)],[c_0_22])). 1.65/1.85 thf(c_0_30, plain, ![X12189:nat, X1:nat]:(((epred185_1 @ X1 @ X12189)<=>((X12189)=(X1)))), introduced(definition)). 1.65/1.85 thf(c_0_31, negated_conjecture, ~(ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ n) @ (tau @ n))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.65/1.85 thf(c_0_32, plain, ![X1:nat]:(((ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ X1) @ (tau @ X1)))|~((member_nat @ X1 @ (sup_sup_set_nat @ (fv_fo_terms_set_a @ tsa) @ (fv_fo_term_set_a @ t)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_25])). 1.65/1.85 thf(c_0_33, plain, ((fv_fo_term_set_a @ t)=(esk568_0 @ n)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 1.65/1.85 thf(c_0_34, plain, ![X11311:nat]:(((insert_nat @ X11311)=(sup_sup_set_nat @ (collect_nat @ (^[Z0:nat]:(((Z0)=(X11311)))))))), inference(variable_rename,[status(thm)],[c_0_28])). 1.65/1.85 thf(c_0_35, plain, ![X1:nat]:(((collect_nat @ (epred185_1 @ X1))=(insert_nat @ X1 @ bot_bot_set_nat))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29]), c_0_30])). 1.65/1.85 thf(c_0_36, negated_conjecture, ~((ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ n) @ (tau @ n)))), inference(split_conjunct,[status(thm)],[c_0_31])). 1.65/1.85 thf(c_0_37, plain, ![X1:nat]:(((ad_equiv_pair_a_b @ x @ (produc8374529264883863525um_a_b @ (sigma @ X1) @ (tau @ X1)))|~((member_nat @ X1 @ (sup_sup_set_nat @ (fv_fo_terms_set_a @ tsa) @ (esk568_0 @ n)))))), inference(rw,[status(thm)],[c_0_32, c_0_33])). 1.65/1.85 thf(c_0_38, plain, ![X1:nat]:(((insert_nat @ X1)=(sup_sup_set_nat @ (collect_nat @ (epred185_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_34]), c_0_30])). 1.65/1.85 thf(c_0_39, plain, ![X1:nat]:(((collect_nat @ (epred185_1 @ X1))=(esk568_0 @ X1))), inference(rw,[status(thm)],[c_0_35, c_0_21])). 1.65/1.85 thf(c_0_40, negated_conjecture, ~((member_nat @ n @ (sup_sup_set_nat @ (fv_fo_terms_set_a @ tsa) @ (esk568_0 @ n)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 1.65/1.85 thf(c_0_41, plain, ![X1:nat]:(((sup_sup_set_nat @ (esk568_0 @ X1))=(insert_nat @ X1))), inference(rw,[status(thm)],[c_0_38, c_0_39])). 1.65/1.85 thf(c_0_42, plain, ![X11273:nat, X11274:set_nat]:((member_nat @ X11273 @ (insert_nat @ X11273 @ X11274))), inference(variable_rename,[status(thm)],[fact_1098_insertI1])). 1.65/1.85 thf(c_0_43, negated_conjecture, ~((member_nat @ n @ (sup_sup_set_nat @ (esk568_0 @ n) @ (fv_fo_terms_set_a @ tsa)))), inference(rw,[status(thm)],[c_0_40, c_0_25])). 1.65/1.85 thf(c_0_44, plain, ![X1:nat, X124:set_nat]:(((sup_sup_set_nat @ (esk568_0 @ X1) @ X124)=(insert_nat @ X1 @ X124))), inference(arg_cong,[status(thm)],[c_0_41])). 1.65/1.85 thf(c_0_45, plain, ![X1:nat, X124:set_nat]:((member_nat @ X1 @ (insert_nat @ X1 @ X124))), inference(split_conjunct,[status(thm)],[c_0_42])). 1.65/1.85 thf(c_0_46, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44]), c_0_45])]), ['proof']). 1.65/1.85 # SZS output end CNFRefutation 1.65/1.85 # Parsed axioms : 1721 1.65/1.85 # Removed by relevancy pruning/SinE : 0 1.65/1.85 # Initial clauses : 4884 1.65/1.85 # Removed in clause preprocessing : 1316 1.65/1.85 # Initial clauses in saturation : 3568 1.65/1.85 # Processed clauses : 4540 1.65/1.85 # ...of these trivial : 117 1.65/1.85 # ...subsumed : 739 1.65/1.85 # ...remaining for further processing : 3684 1.65/1.85 # Other redundant clauses eliminated : 386 1.65/1.85 # Clauses deleted for lack of memory : 0 1.65/1.85 # Backward-subsumed : 14 1.65/1.85 # Backward-rewritten : 43 1.65/1.85 # Generated clauses : 1656 1.65/1.85 # ...of the previous two non-redundant : 873 1.65/1.85 # ...aggressively subsumed : 0 1.65/1.85 # Contextual simplify-reflections : 120 1.65/1.85 # Paramodulations : 837 1.65/1.85 # Factorizations : 0 1.65/1.85 # NegExts : 12 1.65/1.85 # Equation resolutions : 394 1.65/1.85 # Propositional unsat checks : 0 1.65/1.85 # Propositional check models : 0 1.65/1.85 # Propositional check unsatisfiable : 0 1.65/1.85 # Propositional clauses : 0 1.65/1.85 # Propositional clauses after purity: 0 1.65/1.85 # Propositional unsat core size : 0 1.65/1.85 # Propositional preprocessing time : 0.000 1.65/1.85 # Propositional encoding time : 0.000 1.65/1.85 # Propositional solver time : 0.000 1.65/1.85 # Success case prop preproc time : 0.000 1.65/1.85 # Success case prop encoding time : 0.000 1.65/1.85 # Success case prop solver time : 0.000 1.65/1.85 # Current number of processed clauses : 607 1.65/1.85 # Positive orientable unit clauses : 192 1.65/1.85 # Positive unorientable unit clauses: 4 1.65/1.85 # Negative unit clauses : 59 1.65/1.85 # Non-unit-clauses : 352 1.65/1.85 # Current number of unprocessed clauses: 2604 1.65/1.85 # ...number of literals in the above : 8676 1.65/1.85 # Current number of archived formulas : 0 1.65/1.85 # Current number of archived clauses : 2792 1.65/1.85 # Clause-clause subsumption calls (NU) : 1796304 1.65/1.85 # Rec. Clause-clause subsumption calls : 460661 1.65/1.85 # Non-unit clause-clause subsumptions : 786 1.65/1.85 # Unit Clause-clause subsumption calls : 30011 1.65/1.85 # Rewrite failures with RHS unbound : 0 1.65/1.85 # BW rewrite match attempts : 214 1.65/1.85 # BW rewrite match successes : 71 1.65/1.85 # Condensation attempts : 4553 1.65/1.85 # Condensation successes : 16 1.65/1.85 # Termbank termtop insertions : 383640 1.65/1.85 1.65/1.85 # ------------------------------------------------- 1.65/1.85 # User time : 1.032 s 1.65/1.85 # System time : 0.042 s 1.65/1.85 # Total time : 1.074 s 1.65/1.85 # Maximum resident set size: 21528 pages 1.65/1.85 1.65/1.85 # ------------------------------------------------- 1.65/1.85 # User time : 1.106 s 1.65/1.85 # System time : 0.051 s 1.65/1.85 # Total time : 1.157 s 1.65/1.85 # Maximum resident set size: 6192 pages 1.65/1.85 EOF