0.12/0.28	% Problem    : SLH0465^1 : TPTP v8.2.0. Released v8.2.0.
0.28/0.29	% Command    : run_E %s %d THM
0.29/0.50	% Computer : n003.cluster.edu
0.29/0.50	% Model    : x86_64 x86_64
0.29/0.50	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.29/0.50	% Memory   : 8042.1875MB
0.29/0.50	% OS       : Linux 3.10.0-693.el7.x86_64
0.29/0.50	% CPULimit   : 30
0.29/0.50	% WCLimit    : 30
0.29/0.50	% DateTime   : Mon Jul  3 09:04:46 EDT 2023
0.29/0.50	% CPUTime    : 
0.45/0.63	The problem SPC is TH0_THM_EQU_NAR
0.45/0.63	Running higher-order on 1 cores theorem proving
0.45/0.63	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134
0.45/0.63	# Version: 3.0pre003-ho
15.00/15.23	# Preprocessing class: HMLMSMSMSSLCHSA.
15.00/15.23	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
15.00/15.23	# Starting new_ho_10 with 30s (1) cores
15.00/15.23	# new_ho_10 with pid 10314 completed with status 0
15.00/15.23	# Result found by new_ho_10
15.00/15.23	# Preprocessing class: HMLMSMSMSSLCHSA.
15.00/15.23	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
15.00/15.23	# Starting new_ho_10 with 30s (1) cores
15.00/15.23	# No SInE strategy applied
15.00/15.23	# Search class: HGHSM-SMLM32-MHSFFSBC
15.00/15.23	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
15.00/15.23	# Starting full_lambda_3 with 13s (1) cores
15.00/15.23	# full_lambda_3 with pid 10315 completed with status 7
15.00/15.23	# Starting new_ho_10 with 4s (1) cores
15.00/15.23	# new_ho_10 with pid 10316 completed with status 0
15.00/15.23	# Result found by new_ho_10
15.00/15.23	# Preprocessing class: HMLMSMSMSSLCHSA.
15.00/15.23	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
15.00/15.23	# Starting new_ho_10 with 30s (1) cores
15.00/15.23	# No SInE strategy applied
15.00/15.23	# Search class: HGHSM-SMLM32-MHSFFSBC
15.00/15.23	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
15.00/15.23	# Starting full_lambda_3 with 13s (1) cores
15.00/15.23	# full_lambda_3 with pid 10315 completed with status 7
15.00/15.23	# Starting new_ho_10 with 4s (1) cores
15.00/15.23	# Preprocessing time       : 0.029 s
15.00/15.23	# Presaturation interreduction done
15.00/15.23	
15.00/15.23	# Proof found!
15.00/15.23	# SZS status Theorem
15.00/15.23	# SZS output start CNFRefutation
15.00/15.23	thf(decl_22, type, sP_a_b: fo_fmla_a_b > set_nat).
15.00/15.23	thf(decl_23, type, act_edom_a_b: fo_fmla_a_b > (product_prod_b_nat > set_list_a) > set_a).
15.00/15.23	thf(decl_24, type, ad_agr_a_b_nat: fo_fmla_a_b > set_a > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_25, type, ad_agr_sets_a_nat: set_nat > set_nat > set_a > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_26, type, esat_a_b: fo_fmla_a_b > (product_prod_b_nat > set_list_a) > (nat > sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_27, type, complete_Inf_Inf_nat: set_nat > nat).
15.00/15.23	thf(decl_28, type, complete_Sup_Sup_o: set_o > $o).
15.00/15.23	thf(decl_29, type, comple90263536869209701_set_o: set_set_o > set_o).
15.00/15.23	thf(decl_30, type, comple7399068483239264473et_nat: set_set_nat > set_nat).
15.00/15.23	thf(decl_31, type, comple1247738100258233164_a_nat: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_32, type, comple2307003609928055243_set_a: set_set_a > set_a).
15.00/15.23	thf(decl_33, type, fo_Exists_a_b: nat > fo_fmla_a_b > fo_fmla_a_b).
15.00/15.23	thf(decl_34, type, fo_Forall_a_b: nat > fo_fmla_a_b > fo_fmla_a_b).
15.00/15.23	thf(decl_35, type, fv_fo_fmla_a_b: fo_fmla_a_b > set_nat).
15.00/15.23	thf(decl_36, type, finite_Fpow_o: set_o > set_set_o).
15.00/15.23	thf(decl_37, type, finite_Fpow_nat: set_nat > set_set_nat).
15.00/15.23	thf(decl_38, type, finite171985660919647589_a_nat: set_Sum_sum_a_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_39, type, finite_Fpow_a: set_a > set_set_a).
15.00/15.23	thf(decl_40, type, fun_upd_o_o: ($o > $o) > $o > $o > $o > $o).
15.00/15.23	thf(decl_41, type, fun_upd_o_nat: ($o > nat) > $o > nat > $o > nat).
15.00/15.23	thf(decl_42, type, fun_up5863625987353594468_a_nat: ($o > sum_sum_a_nat) > $o > sum_sum_a_nat > $o > sum_sum_a_nat).
15.00/15.23	thf(decl_43, type, fun_upd_nat_o: (nat > $o) > nat > $o > nat > $o).
15.00/15.23	thf(decl_44, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat).
15.00/15.23	thf(decl_45, type, fun_up180537416982607344_a_nat: (nat > sum_sum_a_nat) > nat > sum_sum_a_nat > nat > sum_sum_a_nat).
15.00/15.23	thf(decl_46, type, fun_up7819281663573056470_nat_o: (sum_sum_a_nat > $o) > sum_sum_a_nat > $o > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_47, type, fun_up4584519350643678994at_nat: (sum_sum_a_nat > nat) > sum_sum_a_nat > nat > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_48, type, fun_up6086130847573437501_a_nat: (sum_sum_a_nat > sum_sum_a_nat) > sum_sum_a_nat > sum_sum_a_nat > sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_49, type, inj_on_o_o: ($o > $o) > set_o > $o).
15.00/15.23	thf(decl_50, type, inj_on_o_nat: ($o > nat) > set_o > $o).
15.00/15.23	thf(decl_51, type, inj_on_o_set_o: ($o > set_o) > set_o > $o).
15.00/15.23	thf(decl_52, type, inj_on5680514814725316952_a_nat: ($o > sum_sum_a_nat) > set_o > $o).
15.00/15.23	thf(decl_53, type, inj_on_o_a: ($o > a) > set_o > $o).
15.00/15.23	thf(decl_54, type, inj_on_nat_o: (nat > $o) > set_nat > $o).
15.00/15.23	thf(decl_55, type, inj_on_nat_nat: (nat > nat) > set_nat > $o).
15.00/15.23	thf(decl_56, type, inj_on_nat_set_nat: (nat > set_nat) > set_nat > $o).
15.00/15.23	thf(decl_57, type, inj_on4348161877322679292_a_nat: (nat > sum_sum_a_nat) > set_nat > $o).
15.00/15.23	thf(decl_58, type, inj_on_nat_a: (nat > a) > set_nat > $o).
15.00/15.23	thf(decl_59, type, inj_on4604407203859583615et_nat: (set_nat > set_nat) > set_set_nat > $o).
15.00/15.23	thf(decl_60, type, inj_on93695437914386470_a_nat: (set_nat > set_Sum_sum_a_nat) > set_set_nat > $o).
15.00/15.23	thf(decl_61, type, inj_on7636170490944778954_nat_o: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_62, type, inj_on8752143810983750942at_nat: (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_63, type, inj_on4435861275598021777_a_nat: (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_64, type, inj_on6255688694610590513_a_nat: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_65, type, inj_on1540874404089004336_nat_a: (sum_sum_a_nat > a) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_66, type, inj_on_a_o: (a > $o) > set_a > $o).
15.00/15.23	thf(decl_67, type, inj_on_a_nat: (a > nat) > set_a > $o).
15.00/15.23	thf(decl_68, type, inj_on3092108040974901106_a_nat: (a > sum_sum_a_nat) > set_a > $o).
15.00/15.23	thf(decl_69, type, inj_on_a_a: (a > a) > set_a > $o).
15.00/15.23	thf(decl_70, type, monotone_on_nat_nat: set_nat > (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > $o).
15.00/15.23	thf(decl_71, type, minus_minus_o_o: ($o > $o) > ($o > $o) > $o > $o).
15.00/15.23	thf(decl_72, type, minus_minus_nat_o: (nat > $o) > (nat > $o) > nat > $o).
15.00/15.23	thf(decl_73, type, minus_2198590880655318551_nat_o: (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_74, type, minus_minus_nat: nat > nat > nat).
15.00/15.23	thf(decl_75, type, minus_minus_set_o: set_o > set_o > set_o).
15.00/15.23	thf(decl_76, type, minus_minus_set_nat: set_nat > set_nat > set_nat).
15.00/15.23	thf(decl_77, type, minus_1134630996077396038_a_nat: set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_78, type, minus_minus_set_a: set_a > set_a > set_a).
15.00/15.23	thf(decl_79, type, the_o: ($o > $o) > $o).
15.00/15.23	thf(decl_80, type, the_nat: (nat > $o) > nat).
15.00/15.23	thf(decl_81, type, the_Sum_sum_a_nat: (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_82, type, the_a: (a > $o) > a).
15.00/15.23	thf(decl_83, type, uniq_o: ($o > $o) > $o).
15.00/15.23	thf(decl_84, type, uniq_nat: (nat > $o) > $o).
15.00/15.23	thf(decl_85, type, uniq_Sum_sum_a_nat: (sum_sum_a_nat > $o) > $o).
15.00/15.23	thf(decl_86, type, uniq_a: (a > $o) > $o).
15.00/15.23	thf(decl_87, type, if_nat: $o > nat > nat > nat).
15.00/15.23	thf(decl_88, type, if_Sum_sum_a_nat: $o > sum_sum_a_nat > sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_89, type, if_a: $o > a > a > a).
15.00/15.23	thf(decl_90, type, bot_bot_o_o: $o > $o).
15.00/15.23	thf(decl_91, type, bot_bot_nat_o: nat > $o).
15.00/15.23	thf(decl_92, type, bot_bo7797463397293707474_nat_o: sum_sum_a_nat > $o).
15.00/15.23	thf(decl_93, type, bot_bot_o: $o).
15.00/15.23	thf(decl_94, type, bot_bot_nat: nat).
15.00/15.23	thf(decl_95, type, bot_bot_set_o: set_o).
15.00/15.23	thf(decl_96, type, bot_bot_set_nat: set_nat).
15.00/15.23	thf(decl_97, type, bot_bot_set_set_o: set_set_o).
15.00/15.23	thf(decl_98, type, bot_bot_set_set_nat: set_set_nat).
15.00/15.23	thf(decl_99, type, bot_bo2635121477170169643_a_nat: set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_100, type, bot_bot_set_set_a: set_set_a).
15.00/15.23	thf(decl_101, type, bot_bo3438331934148233675_a_nat: set_Sum_sum_a_nat).
15.00/15.23	thf(decl_102, type, bot_bot_set_a: set_a).
15.00/15.23	thf(decl_103, type, ord_Least_nat: (nat > $o) > nat).
15.00/15.23	thf(decl_104, type, ord_less_nat: nat > nat > $o).
15.00/15.23	thf(decl_105, type, ord_less_set_o: set_o > set_o > $o).
15.00/15.23	thf(decl_106, type, ord_less_set_nat: set_nat > set_nat > $o).
15.00/15.23	thf(decl_107, type, ord_le4638968407124865547_a_nat: set_Sum_sum_a_nat > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_108, type, ord_less_set_a: set_a > set_a > $o).
15.00/15.23	thf(decl_109, type, ord_less_eq_o_o: ($o > $o) > ($o > $o) > $o).
15.00/15.23	thf(decl_110, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o).
15.00/15.23	thf(decl_111, type, ord_le1477630214076318366_nat_o: (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > $o).
15.00/15.23	thf(decl_112, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o).
15.00/15.23	thf(decl_113, type, ord_less_eq_o: $o > $o > $o).
15.00/15.23	thf(decl_114, type, ord_less_eq_nat: nat > nat > $o).
15.00/15.23	thf(decl_115, type, ord_less_eq_set_o: set_o > set_o > $o).
15.00/15.23	thf(decl_116, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
15.00/15.23	thf(decl_117, type, ord_le7974500612278410847_a_nat: set_se4904748513628223167_a_nat > set_se4904748513628223167_a_nat > $o).
15.00/15.23	thf(decl_118, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o).
15.00/15.23	thf(decl_119, type, ord_le1325389633284124927_a_nat: set_Sum_sum_a_nat > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_120, type, ord_less_eq_set_a: set_a > set_a > $o).
15.00/15.23	thf(decl_121, type, top_top_set_o: set_o).
15.00/15.23	thf(decl_122, type, top_top_set_nat: set_nat).
15.00/15.23	thf(decl_123, type, top_top_set_set_o: set_set_o).
15.00/15.23	thf(decl_124, type, top_top_set_set_nat: set_set_nat).
15.00/15.23	thf(decl_125, type, top_to795618464972521135_a_nat: set_Sum_sum_a_nat).
15.00/15.23	thf(decl_126, type, top_top_set_a: set_a).
15.00/15.23	thf(decl_127, type, partial_flat_lub_o: $o > set_o > $o).
15.00/15.23	thf(decl_128, type, partial_flat_lub_nat: nat > set_nat > nat).
15.00/15.23	thf(decl_129, type, partia2925862224517891019_a_nat: sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_130, type, partial_flat_lub_a: a > set_a > a).
15.00/15.23	thf(decl_131, type, collect_o: ($o > $o) > set_o).
15.00/15.23	thf(decl_132, type, collect_nat: (nat > $o) > set_nat).
15.00/15.23	thf(decl_133, type, collec4049389696321283146_a_nat: (set_Sum_sum_a_nat > $o) > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_134, type, collect_set_a: (set_a > $o) > set_set_a).
15.00/15.23	thf(decl_135, type, collec7073057861543223018_a_nat: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_136, type, collect_a: (a > $o) > set_a).
15.00/15.23	thf(decl_137, type, pow_o: set_o > set_set_o).
15.00/15.23	thf(decl_138, type, pow_nat: set_nat > set_set_nat).
15.00/15.23	thf(decl_139, type, pow_Sum_sum_a_nat: set_Sum_sum_a_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_140, type, pow_a: set_a > set_set_a).
15.00/15.23	thf(decl_141, type, image_o_o: ($o > $o) > set_o > set_o).
15.00/15.23	thf(decl_142, type, image_o_nat: ($o > nat) > set_o > set_nat).
15.00/15.23	thf(decl_143, type, image_o_set_o: ($o > set_o) > set_o > set_set_o).
15.00/15.23	thf(decl_144, type, image_o_set_nat: ($o > set_nat) > set_o > set_set_nat).
15.00/15.23	thf(decl_145, type, image_3365592128754359116_a_nat: ($o > set_Sum_sum_a_nat) > set_o > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_146, type, image_o_set_a: ($o > set_a) > set_o > set_set_a).
15.00/15.23	thf(decl_147, type, image_4139480514073730540_a_nat: ($o > sum_sum_a_nat) > set_o > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_148, type, image_o_a: ($o > a) > set_o > set_a).
15.00/15.23	thf(decl_149, type, image_nat_o: (nat > $o) > set_nat > set_o).
15.00/15.23	thf(decl_150, type, image_nat_nat: (nat > nat) > set_nat > set_nat).
15.00/15.23	thf(decl_151, type, image_nat_set_o: (nat > set_o) > set_nat > set_set_o).
15.00/15.23	thf(decl_152, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat).
15.00/15.23	thf(decl_153, type, image_4085361583586468296_a_nat: (nat > set_Sum_sum_a_nat) > set_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_154, type, image_nat_set_a: (nat > set_a) > set_nat > set_set_a).
15.00/15.23	thf(decl_155, type, image_7293268710728258664_a_nat: (nat > sum_sum_a_nat) > set_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_156, type, image_nat_a: (nat > a) > set_nat > set_a).
15.00/15.23	thf(decl_157, type, image_set_o_set_o: (set_o > set_o) > set_set_o > set_set_o).
15.00/15.23	thf(decl_158, type, image_7916887816326733075et_nat: (set_nat > set_nat) > set_set_nat > set_set_nat).
15.00/15.23	thf(decl_159, type, image_3578472599065059474_a_nat: (set_nat > set_Sum_sum_a_nat) > set_set_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_160, type, image_5599399343138760645_a_nat: (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_se4904748513628223167_a_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_161, type, image_6095136190293192542_nat_o: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > set_o).
15.00/15.23	thf(decl_162, type, image_2473878607534554506at_nat: (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_nat).
15.00/15.23	thf(decl_163, type, image_3342437468262948414_set_o: (sum_sum_a_nat > set_o) > set_Sum_sum_a_nat > set_set_o).
15.00/15.23	thf(decl_164, type, image_4589483402070311232et_nat: (sum_sum_a_nat > set_nat) > set_Sum_sum_a_nat > set_set_nat).
15.00/15.23	thf(decl_165, type, image_7877458644602423589_a_nat: (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_166, type, image_8809959208761443620_set_a: (sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_set_a).
15.00/15.23	thf(decl_167, type, image_7142520692256960453_a_nat: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_168, type, image_6322530041254294468_nat_a: (sum_sum_a_nat > a) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_169, type, image_a_o: (a > $o) > set_a > set_o).
15.00/15.23	thf(decl_170, type, image_a_nat: (a > nat) > set_a > set_nat).
15.00/15.23	thf(decl_171, type, image_1201892972954314598_a_nat: (a > set_Sum_sum_a_nat) > set_a > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_172, type, image_a_set_a: (a > set_a) > set_a > set_set_a).
15.00/15.23	thf(decl_173, type, image_7873763678140191238_a_nat: (a > sum_sum_a_nat) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_174, type, image_a_a: (a > a) > set_a > set_a).
15.00/15.23	thf(decl_175, type, insert_o: $o > set_o > set_o).
15.00/15.23	thf(decl_176, type, insert_nat: nat > set_nat > set_nat).
15.00/15.23	thf(decl_177, type, insert_set_o: set_o > set_set_o > set_set_o).
15.00/15.23	thf(decl_178, type, insert_set_nat: set_nat > set_set_nat > set_set_nat).
15.00/15.23	thf(decl_179, type, insert7996324640348233519_a_nat: set_Sum_sum_a_nat > set_se4904748513628223167_a_nat > set_se4904748513628223167_a_nat).
15.00/15.23	thf(decl_180, type, insert_Sum_sum_a_nat: sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_181, type, insert_a: a > set_a > set_a).
15.00/15.23	thf(decl_182, type, is_singleton_o: set_o > $o).
15.00/15.23	thf(decl_183, type, is_singleton_nat: set_nat > $o).
15.00/15.23	thf(decl_184, type, is_sin5176708635568246003_a_nat: set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_185, type, pairwise_o: ($o > $o > $o) > set_o > $o).
15.00/15.23	thf(decl_186, type, pairwise_nat: (nat > nat > $o) > set_nat > $o).
15.00/15.23	thf(decl_187, type, pairwi7370142813935713258_a_nat: (sum_sum_a_nat > sum_sum_a_nat > $o) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_188, type, pairwise_a: (a > a > $o) > set_a > $o).
15.00/15.23	thf(decl_189, type, remove_o: $o > set_o > set_o).
15.00/15.23	thf(decl_190, type, remove_nat: nat > set_nat > set_nat).
15.00/15.23	thf(decl_191, type, remove_Sum_sum_a_nat: sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_192, type, the_elem_o: set_o > $o).
15.00/15.23	thf(decl_193, type, the_elem_nat: set_nat > nat).
15.00/15.23	thf(decl_194, type, the_el9213825397763150452_a_nat: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_195, type, member_o: $o > set_o > $o).
15.00/15.23	thf(decl_196, type, member_nat: nat > set_nat > $o).
15.00/15.23	thf(decl_197, type, member_set_o: set_o > set_set_o > $o).
15.00/15.23	thf(decl_198, type, member_set_nat: set_nat > set_set_nat > $o).
15.00/15.23	thf(decl_199, type, member8098812455498974984_a_nat: set_Sum_sum_a_nat > set_se4904748513628223167_a_nat > $o).
15.00/15.23	thf(decl_200, type, member_set_a: set_a > set_set_a > $o).
15.00/15.23	thf(decl_201, type, member_Sum_sum_a_nat: sum_sum_a_nat > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_202, type, member_a: a > set_a > $o).
15.00/15.23	thf(decl_203, type, ad: set_a).
15.00/15.23	thf(decl_204, type, i: product_prod_b_nat > set_list_a).
15.00/15.23	thf(decl_205, type, x: set_Sum_sum_a_nat).
15.00/15.23	thf(decl_206, type, phi: fo_fmla_a_b).
15.00/15.23	thf(decl_207, type, sigma: nat > sum_sum_a_nat).
15.00/15.23	thf(decl_208, type, tau: nat > sum_sum_a_nat).
15.00/15.23	thf(decl_209, type, m: nat).
15.00/15.23	thf(decl_210, type, z: sum_sum_a_nat).
15.00/15.23	thf(decl_211, type, epred1_2: set_o > set_o > $o).
15.00/15.23	thf(decl_212, type, esk1_1: (nat > $o) > nat).
15.00/15.23	thf(decl_213, type, epred2_1: ($o > $o) > $o).
15.00/15.23	thf(decl_214, type, esk2_1: (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_215, type, esk3_1: (nat > $o) > nat).
15.00/15.23	thf(decl_216, type, epred3_1: ($o > $o) > $o).
15.00/15.23	thf(decl_217, type, esk4_1: (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_218, type, esk5_1: set_nat > nat).
15.00/15.23	thf(decl_219, type, epred4_1: set_o > $o).
15.00/15.23	thf(decl_220, type, esk6_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_221, type, esk7_1: set_nat > nat).
15.00/15.23	thf(decl_222, type, epred5_1: set_o > $o).
15.00/15.23	thf(decl_223, type, esk8_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_224, type, esk9_1: set_nat > nat).
15.00/15.23	thf(decl_225, type, epred6_1: set_o > $o).
15.00/15.23	thf(decl_226, type, esk10_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_227, type, esk11_2: sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_228, type, esk12_2: nat > set_nat > set_nat).
15.00/15.23	thf(decl_229, type, esk13_2: $o > set_o > set_o).
15.00/15.23	thf(decl_230, type, esk14_4: sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_231, type, esk15_4: nat > set_nat > nat > set_nat > set_nat).
15.00/15.23	thf(decl_232, type, esk16_4: $o > set_o > $o > set_o > set_o).
15.00/15.23	thf(decl_233, type, esk17_2: sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_234, type, esk18_2: nat > set_nat > set_nat).
15.00/15.23	thf(decl_235, type, esk19_2: $o > set_o > set_o).
15.00/15.23	thf(decl_236, type, esk20_1: set_nat > nat).
15.00/15.23	thf(decl_237, type, epred7_1: set_o > $o).
15.00/15.23	thf(decl_238, type, esk21_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_239, type, esk22_1: set_nat > nat).
15.00/15.23	thf(decl_240, type, epred8_1: set_o > $o).
15.00/15.23	thf(decl_241, type, esk23_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_242, type, esk24_2: (nat > nat > $o) > set_nat > nat).
15.00/15.23	thf(decl_243, type, esk25_2: (nat > nat > $o) > set_nat > nat).
15.00/15.23	thf(decl_244, type, epred9_2: ($o > $o > $o) > set_o > $o).
15.00/15.23	thf(decl_245, type, epred10_2: ($o > $o > $o) > set_o > $o).
15.00/15.23	thf(decl_246, type, esk26_2: (sum_sum_a_nat > sum_sum_a_nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_247, type, esk27_2: (sum_sum_a_nat > sum_sum_a_nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_248, type, esk28_2: set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_249, type, esk29_2: set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_250, type, esk30_2: set_nat > (nat > nat > $o) > nat).
15.00/15.23	thf(decl_251, type, esk31_2: set_nat > (nat > nat > $o) > nat).
15.00/15.23	thf(decl_252, type, epred11_2: set_o > ($o > $o > $o) > $o).
15.00/15.23	thf(decl_253, type, epred12_2: set_o > ($o > $o > $o) > $o).
15.00/15.23	thf(decl_254, type, esk32_3: (sum_sum_a_nat > sum_sum_a_nat > $o) > sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_255, type, esk33_3: (nat > nat > $o) > nat > set_nat > nat).
15.00/15.23	thf(decl_256, type, epred13_3: ($o > $o > $o) > $o > set_o > $o).
15.00/15.23	thf(decl_257, type, esk34_1: set_nat > nat).
15.00/15.23	thf(decl_258, type, esk35_1: set_nat > nat).
15.00/15.23	thf(decl_259, type, epred14_1: set_o > $o).
15.00/15.23	thf(decl_260, type, epred15_1: set_o > $o).
15.00/15.23	thf(decl_261, type, esk36_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_262, type, esk37_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_263, type, esk38_0: sum_sum_a_nat).
15.00/15.23	thf(decl_264, type, esk39_2: set_nat > set_nat > nat).
15.00/15.23	thf(decl_265, type, epred16_2: set_o > set_o > $o).
15.00/15.23	thf(decl_266, type, esk40_2: set_Sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_267, type, esk41_2: set_a > set_a > a).
15.00/15.23	thf(decl_268, type, esk42_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_269, type, esk43_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_270, type, esk44_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_271, type, esk45_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_272, type, esk46_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_273, type, esk47_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_274, type, esk48_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_275, type, esk49_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_276, type, esk50_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_277, type, esk51_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_278, type, esk52_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_279, type, esk53_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_280, type, esk54_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_281, type, esk55_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_282, type, esk56_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_283, type, esk57_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_284, type, esk58_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_285, type, esk59_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_286, type, esk60_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_287, type, esk61_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_288, type, esk62_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_289, type, esk63_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_290, type, esk64_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_291, type, esk65_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_292, type, esk66_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_293, type, esk67_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_294, type, esk68_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_295, type, esk69_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_296, type, esk70_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_297, type, esk71_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_298, type, esk72_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_299, type, esk73_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_300, type, esk74_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_301, type, esk75_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_302, type, esk76_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_303, type, esk77_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_304, type, esk78_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_305, type, esk79_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_306, type, esk80_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_307, type, esk81_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_308, type, esk82_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_309, type, esk83_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_310, type, esk84_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_311, type, esk85_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_312, type, esk86_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_313, type, esk87_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_314, type, esk88_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_315, type, esk89_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_316, type, esk90_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_317, type, esk91_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_318, type, esk92_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_319, type, esk93_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_320, type, esk94_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_321, type, esk95_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_322, type, esk96_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_323, type, esk97_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_324, type, esk98_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_325, type, esk99_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_326, type, esk100_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_327, type, esk101_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_328, type, esk102_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_329, type, esk103_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_330, type, esk104_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_331, type, esk105_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_332, type, esk106_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_333, type, esk107_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_334, type, esk108_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_335, type, esk109_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_336, type, esk110_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_337, type, esk111_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_338, type, esk112_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_339, type, esk113_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_340, type, esk114_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_341, type, esk115_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_342, type, esk116_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_343, type, esk117_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_344, type, esk118_3: set_Sum_sum_a_nat > (nat > sum_sum_a_nat) > set_nat > set_nat).
15.00/15.23	thf(decl_345, type, esk119_3: set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_346, type, esk120_3: set_Sum_sum_a_nat > (a > sum_sum_a_nat) > set_a > set_a).
15.00/15.23	thf(decl_347, type, esk121_3: set_a > (sum_sum_a_nat > a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_348, type, esk122_3: set_a > (a > a) > set_a > set_a).
15.00/15.23	thf(decl_349, type, esk123_3: (nat > sum_sum_a_nat) > set_nat > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_350, type, esk124_2: (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_351, type, esk125_2: (a > $o) > (a > $o) > a).
15.00/15.23	thf(decl_352, type, esk126_3: set_Sum_sum_a_nat > (nat > sum_sum_a_nat) > set_nat > set_nat).
15.00/15.23	thf(decl_353, type, esk127_3: set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_354, type, esk128_3: set_Sum_sum_a_nat > (a > sum_sum_a_nat) > set_a > set_a).
15.00/15.23	thf(decl_355, type, esk129_3: set_a > (sum_sum_a_nat > a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_356, type, esk130_3: set_a > (a > a) > set_a > set_a).
15.00/15.23	thf(decl_357, type, esk131_3: set_nat > (nat > nat) > set_nat > nat).
15.00/15.23	thf(decl_358, type, esk132_3: set_nat > (nat > $o) > set_o > nat).
15.00/15.23	thf(decl_359, type, epred17_3: set_o > ($o > nat) > set_nat > $o).
15.00/15.23	thf(decl_360, type, epred18_3: set_o > ($o > $o) > set_o > $o).
15.00/15.23	thf(decl_361, type, esk133_3: set_nat > (nat > a) > set_a > nat).
15.00/15.23	thf(decl_362, type, epred19_3: set_o > ($o > a) > set_a > $o).
15.00/15.23	thf(decl_363, type, esk134_3: set_Sum_sum_a_nat > (sum_sum_a_nat > nat) > set_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_364, type, esk135_3: set_Sum_sum_a_nat > (sum_sum_a_nat > $o) > set_o > sum_sum_a_nat).
15.00/15.23	thf(decl_365, type, esk136_3: set_nat > (nat > sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_366, type, epred20_3: set_o > ($o > sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_367, type, esk137_2: (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_368, type, esk138_2: (a > $o) > (a > $o) > a).
15.00/15.23	thf(decl_369, type, esk139_3: (nat > sum_sum_a_nat) > set_nat > (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_370, type, esk140_2: set_nat > set_nat > nat).
15.00/15.23	thf(decl_371, type, epred21_2: set_o > set_o > $o).
15.00/15.23	thf(decl_372, type, esk141_2: set_Sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_373, type, esk142_2: set_a > set_a > a).
15.00/15.23	thf(decl_374, type, esk143_4: set_nat > set_nat > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_375, type, esk144_3: (nat > sum_sum_a_nat) > set_nat > (sum_sum_a_nat > $o) > nat).
15.00/15.23	thf(decl_376, type, esk145_2: set_nat > set_nat > nat).
15.00/15.23	thf(decl_377, type, epred22_2: set_o > set_o > $o).
15.00/15.23	thf(decl_378, type, esk146_2: set_Sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_379, type, esk147_2: set_a > set_a > a).
15.00/15.23	thf(decl_380, type, esk148_3: sum_sum_a_nat > (nat > sum_sum_a_nat) > set_nat > nat).
15.00/15.23	thf(decl_381, type, esk149_5: nat > fo_fmla_a_b > (product_prod_b_nat > set_list_a) > (nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_382, type, esk150_5: nat > fo_fmla_a_b > (product_prod_b_nat > set_list_a) > (nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_383, type, esk151_3: sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_384, type, esk152_3: sum_sum_a_nat > (nat > sum_sum_a_nat) > set_nat > nat).
15.00/15.23	thf(decl_385, type, epred23_3: sum_sum_a_nat > ($o > sum_sum_a_nat) > set_o > $o).
15.00/15.23	thf(decl_386, type, esk153_3: nat > (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_387, type, esk154_3: nat > (nat > nat) > set_nat > nat).
15.00/15.23	thf(decl_388, type, epred24_3: nat > ($o > nat) > set_o > $o).
15.00/15.23	thf(decl_389, type, esk155_3: $o > (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_390, type, esk156_3: $o > (nat > $o) > set_nat > nat).
15.00/15.23	thf(decl_391, type, epred25_3: $o > ($o > $o) > set_o > $o).
15.00/15.23	thf(decl_392, type, esk157_3: fo_fmla_a_b > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_393, type, esk158_3: set_nat > (nat > sum_sum_a_nat) > (sum_sum_a_nat > sum_sum_a_nat > $o) > nat).
15.00/15.23	thf(decl_394, type, esk159_3: set_nat > (nat > sum_sum_a_nat) > (sum_sum_a_nat > sum_sum_a_nat > $o) > nat).
15.00/15.23	thf(decl_395, type, esk160_3: (sum_sum_a_nat > sum_sum_a_nat > $o) > set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_396, type, esk161_3: (sum_sum_a_nat > sum_sum_a_nat > $o) > set_Sum_sum_a_nat > (sum_sum_a_nat > sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_397, type, esk162_3: (a > a > $o) > set_a > (a > a > $o) > a).
15.00/15.23	thf(decl_398, type, esk163_3: (a > a > $o) > set_a > (a > a > $o) > a).
15.00/15.23	thf(decl_399, type, esk164_3: set_nat > (nat > sum_sum_a_nat) > nat > nat).
15.00/15.23	thf(decl_400, type, esk165_2: set_set_nat > nat > set_nat).
15.00/15.23	thf(decl_401, type, esk166_2: set_set_o > $o > set_o).
15.00/15.23	thf(decl_402, type, esk167_2: set_se4904748513628223167_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_403, type, esk168_3: (nat > $o) > (nat > sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_404, type, esk169_1: set_nat > nat).
15.00/15.23	thf(decl_405, type, epred26_1: set_o > $o).
15.00/15.23	thf(decl_406, type, esk170_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_407, type, esk171_1: set_a > a).
15.00/15.23	thf(decl_408, type, esk172_3: (nat > sum_sum_a_nat) > set_nat > (set_Sum_sum_a_nat > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_409, type, esk173_3: (nat > sum_sum_a_nat) > set_nat > (set_Sum_sum_a_nat > $o) > set_nat).
15.00/15.23	thf(decl_410, type, esk174_3: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_411, type, esk175_3: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_412, type, esk176_3: (a > sum_sum_a_nat) > set_a > (set_Sum_sum_a_nat > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_413, type, esk177_3: (a > sum_sum_a_nat) > set_a > (set_Sum_sum_a_nat > $o) > set_a).
15.00/15.23	thf(decl_414, type, esk178_3: (sum_sum_a_nat > a) > set_Sum_sum_a_nat > (set_a > $o) > set_a).
15.00/15.23	thf(decl_415, type, esk179_3: (sum_sum_a_nat > a) > set_Sum_sum_a_nat > (set_a > $o) > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_416, type, esk180_3: (a > a) > set_a > (set_a > $o) > set_a).
15.00/15.23	thf(decl_417, type, esk181_3: (a > a) > set_a > (set_a > $o) > set_a).
15.00/15.23	thf(decl_418, type, esk182_1: set_nat > nat).
15.00/15.23	thf(decl_419, type, epred27_1: set_o > $o).
15.00/15.23	thf(decl_420, type, esk183_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_421, type, esk184_1: set_a > a).
15.00/15.23	thf(decl_422, type, esk185_3: set_nat > set_nat > (nat > $o) > nat).
15.00/15.23	thf(decl_423, type, epred28_3: set_o > set_o > ($o > $o) > $o).
15.00/15.23	thf(decl_424, type, esk186_3: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_425, type, esk187_3: set_a > set_a > (a > $o) > a).
15.00/15.23	thf(decl_426, type, esk188_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat).
15.00/15.23	thf(decl_427, type, epred29_4: set_o > set_o > ($o > $o) > ($o > $o) > $o).
15.00/15.23	thf(decl_428, type, esk189_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > sum_sum_a_nat).
15.00/15.23	thf(decl_429, type, esk190_4: set_a > set_a > (a > $o) > (a > $o) > a).
15.00/15.23	thf(decl_430, type, esk191_4: set_nat > set_nat > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_431, type, esk192_4: set_nat > set_nat > (nat > sum_sum_a_nat) > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_432, type, esk193_1: set_set_nat > set_nat).
15.00/15.23	thf(decl_433, type, esk194_1: set_set_o > set_o).
15.00/15.23	thf(decl_434, type, esk195_1: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_435, type, esk196_1: set_set_nat > set_nat).
15.00/15.23	thf(decl_436, type, esk197_1: set_set_o > set_o).
15.00/15.23	thf(decl_437, type, esk198_1: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_438, type, esk199_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_439, type, esk200_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_440, type, esk201_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_441, type, esk202_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_442, type, esk203_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_443, type, esk204_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_444, type, esk205_3: set_nat > (nat > nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_445, type, esk206_1: (nat > nat) > nat).
15.00/15.23	thf(decl_446, type, esk207_1: (nat > nat) > nat).
15.00/15.23	thf(decl_447, type, esk208_3: set_nat > (nat > nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_448, type, esk209_2: (nat > nat) > set_nat > nat).
15.00/15.23	thf(decl_449, type, esk210_2: (nat > nat) > set_nat > nat).
15.00/15.23	thf(decl_450, type, esk211_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_451, type, esk212_2: set_nat > (nat > nat) > nat).
15.00/15.23	thf(decl_452, type, esk213_1: (nat > nat) > nat).
15.00/15.23	thf(decl_453, type, esk214_1: (nat > nat) > nat).
15.00/15.23	thf(decl_454, type, esk215_1: (nat > nat) > nat).
15.00/15.23	thf(decl_455, type, esk216_1: (nat > nat) > nat).
15.00/15.23	thf(decl_456, type, esk217_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_457, type, esk218_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_458, type, esk219_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_459, type, esk220_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_460, type, esk221_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_461, type, esk222_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_462, type, esk223_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_463, type, esk224_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_464, type, esk225_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_465, type, esk226_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_466, type, esk227_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_467, type, esk228_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_468, type, esk229_1: (nat > nat > $o) > nat).
15.00/15.23	thf(decl_469, type, esk230_1: (nat > $o) > nat).
15.00/15.23	thf(decl_470, type, esk231_2: (nat > $o) > nat > nat).
15.00/15.23	thf(decl_471, type, esk232_1: (nat > $o) > nat).
15.00/15.23	thf(decl_472, type, esk233_1: (nat > $o) > nat).
15.00/15.23	thf(decl_473, type, esk234_1: nat > nat).
15.00/15.23	thf(decl_474, type, esk235_0: sum_sum_a_nat).
15.00/15.23	thf(decl_475, type, epred30_0: $o).
15.00/15.23	thf(decl_476, type, esk236_0: nat).
15.00/15.23	thf(decl_477, type, esk237_1: set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_478, type, epred31_1: set_o > $o).
15.00/15.23	thf(decl_479, type, esk238_1: set_nat > nat).
15.00/15.23	thf(decl_480, type, epred32_2: ($o > sum_sum_a_nat) > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_481, type, epred33_3: ($o > sum_sum_a_nat) > sum_sum_a_nat > $o > $o).
15.00/15.23	thf(decl_482, type, epred34_2: ($o > nat) > nat > $o).
15.00/15.23	thf(decl_483, type, epred35_3: ($o > nat) > nat > $o > $o).
15.00/15.23	thf(decl_484, type, epred36_2: ($o > $o) > $o > $o).
15.00/15.23	thf(decl_485, type, epred37_3: ($o > $o) > $o > $o > $o).
15.00/15.23	thf(decl_486, type, esk239_2: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_487, type, esk240_3: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat > nat).
15.00/15.23	thf(decl_488, type, esk241_2: (nat > nat) > nat > nat).
15.00/15.23	thf(decl_489, type, esk242_3: (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_490, type, esk243_2: (nat > $o) > $o > nat).
15.00/15.23	thf(decl_491, type, esk244_3: (nat > $o) > $o > nat > nat).
15.00/15.23	thf(decl_492, type, esk245_3: set_nat > (nat > nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_493, type, esk246_3: set_nat > (nat > nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_494, type, esk247_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_495, type, esk248_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_496, type, epred38_2: set_o > $o > $o).
15.00/15.23	thf(decl_497, type, esk249_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_498, type, esk250_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_499, type, epred39_2: set_o > set_o > $o).
15.00/15.23	thf(decl_500, type, esk251_2: set_se4904748513628223167_a_nat > set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_501, type, esk252_2: set_set_a > set_set_a > set_a).
15.00/15.23	thf(decl_502, type, epred40_2: set_o > $o > $o).
15.00/15.23	thf(decl_503, type, epred41_2: set_o > $o > $o).
15.00/15.23	thf(decl_504, type, esk253_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_505, type, esk254_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_506, type, esk255_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_507, type, esk256_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_508, type, esk257_2: set_Sum_sum_a_nat > (sum_sum_a_nat > set_nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_509, type, esk258_2: set_Sum_sum_a_nat > (sum_sum_a_nat > set_nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_510, type, esk259_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_nat) > (nat > nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_511, type, esk260_2: set_nat > (nat > set_nat) > nat).
15.00/15.23	thf(decl_512, type, esk261_2: set_nat > (nat > set_nat) > nat).
15.00/15.23	thf(decl_513, type, esk262_3: set_nat > (nat > set_nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_514, type, epred42_2: set_o > ($o > set_nat) > $o).
15.00/15.23	thf(decl_515, type, epred43_2: set_o > ($o > set_nat) > $o).
15.00/15.23	thf(decl_516, type, epred44_3: set_o > ($o > set_nat) > (nat > nat) > $o).
15.00/15.23	thf(decl_517, type, esk263_1: set_set_nat > set_nat).
15.00/15.23	thf(decl_518, type, esk264_1: set_set_o > set_o).
15.00/15.23	thf(decl_519, type, esk265_1: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_520, type, esk266_1: set_set_nat > set_nat).
15.00/15.23	thf(decl_521, type, esk267_1: set_set_o > set_o).
15.00/15.23	thf(decl_522, type, esk268_1: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_523, type, esk269_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_524, type, esk270_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_525, type, esk271_2: set_se4904748513628223167_a_nat > set_se4904748513628223167_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_526, type, esk272_2: set_set_a > set_set_a > set_a).
15.00/15.23	thf(decl_527, type, esk273_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_528, type, esk274_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_529, type, esk275_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_530, type, esk276_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_531, type, esk277_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_532, type, esk278_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_533, type, esk279_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_534, type, esk280_4: set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_535, type, esk281_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_536, type, esk282_4: set_a > (set_Sum_sum_a_nat > set_a) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_537, type, esk283_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_538, type, esk284_4: nat > (set_Sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_539, type, esk285_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_540, type, esk286_4: set_Sum_sum_a_nat > (set_a > set_Sum_sum_a_nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_541, type, esk287_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_542, type, esk288_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
15.00/15.23	thf(decl_543, type, esk289_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_544, type, esk290_4: nat > (set_a > nat) > set_a > set_a > set_a).
15.00/15.23	thf(decl_545, type, esk291_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_546, type, esk292_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_547, type, esk293_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_548, type, esk294_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_549, type, esk295_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_550, type, esk296_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_551, type, esk297_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_552, type, esk298_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_553, type, esk299_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_554, type, esk300_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > set_a) > set_a > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_555, type, esk301_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_556, type, esk302_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (set_Sum_sum_a_nat > nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_557, type, esk303_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_558, type, esk304_4: set_a > set_a > (set_a > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_a).
15.00/15.23	thf(decl_559, type, esk305_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_560, type, esk306_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
15.00/15.23	thf(decl_561, type, esk307_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_562, type, esk308_4: set_a > set_a > (set_a > nat) > nat > set_a).
15.00/15.23	thf(decl_563, type, esk309_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_564, type, esk310_4: nat > nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_565, type, esk311_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_566, type, esk312_4: nat > nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_567, type, esk313_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_568, type, esk314_4: nat > nat > (nat > nat) > nat > nat).
15.00/15.23	thf(decl_569, type, esk315_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_570, type, esk316_4: set_Sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > nat > nat > nat).
15.00/15.23	thf(decl_571, type, esk317_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_572, type, esk318_4: set_a > (nat > set_a) > nat > nat > nat).
15.00/15.23	thf(decl_573, type, esk319_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_574, type, esk320_4: nat > (nat > nat) > nat > nat > nat).
15.00/15.23	thf(decl_575, type, esk321_2: set_nat > set_nat > nat).
15.00/15.23	thf(decl_576, type, epred45_2: set_o > set_o > $o).
15.00/15.23	thf(decl_577, type, esk322_2: set_Sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_578, type, epred46_2: ($o > $o) > $o > $o).
15.00/15.23	thf(decl_579, type, epred47_2: ($o > nat) > nat > $o).
15.00/15.23	thf(decl_580, type, esk323_2: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_581, type, esk324_2: (nat > $o) > $o > nat).
15.00/15.23	thf(decl_582, type, esk325_2: (nat > nat) > nat > nat).
15.00/15.23	thf(decl_583, type, epred48_2: ($o > $o) > $o > $o).
15.00/15.23	thf(decl_584, type, epred49_2: ($o > nat) > nat > $o).
15.00/15.23	thf(decl_585, type, esk326_2: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_586, type, esk327_2: (nat > $o) > $o > nat).
15.00/15.23	thf(decl_587, type, esk328_2: (nat > nat) > nat > nat).
15.00/15.23	thf(decl_588, type, epred50_2: ($o > $o) > ($o > $o) > $o).
15.00/15.23	thf(decl_589, type, esk329_2: ($o > nat) > (nat > $o) > nat).
15.00/15.23	thf(decl_590, type, esk330_2: ($o > nat) > (nat > $o) > nat).
15.00/15.23	thf(decl_591, type, esk331_2: (nat > sum_sum_a_nat) > (sum_sum_a_nat > nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_592, type, epred51_2: (nat > $o) > ($o > nat) > $o).
15.00/15.23	thf(decl_593, type, esk332_2: (nat > nat) > (nat > nat) > nat).
15.00/15.23	thf(decl_594, type, epred52_2: ($o > $o) > $o > $o).
15.00/15.23	thf(decl_595, type, epred53_1: ($o > $o) > $o).
15.00/15.23	thf(decl_596, type, epred54_2: ($o > nat) > nat > $o).
15.00/15.23	thf(decl_597, type, esk333_1: ($o > nat) > nat).
15.00/15.23	thf(decl_598, type, esk334_2: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_599, type, esk335_1: (nat > sum_sum_a_nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_600, type, esk336_2: (nat > $o) > $o > nat).
15.00/15.23	thf(decl_601, type, epred55_1: (nat > $o) > $o).
15.00/15.23	thf(decl_602, type, esk337_2: (nat > nat) > nat > nat).
15.00/15.23	thf(decl_603, type, esk338_1: (nat > nat) > nat).
15.00/15.23	thf(decl_604, type, esk339_3: sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_605, type, esk340_3: sum_sum_a_nat > (nat > set_Sum_sum_a_nat) > set_nat > nat).
15.00/15.23	thf(decl_606, type, epred56_3: sum_sum_a_nat > ($o > set_Sum_sum_a_nat) > set_o > $o).
15.00/15.23	thf(decl_607, type, esk341_3: nat > (sum_sum_a_nat > set_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_608, type, esk342_3: nat > (nat > set_nat) > set_nat > nat).
15.00/15.23	thf(decl_609, type, epred57_3: nat > ($o > set_nat) > set_o > $o).
15.00/15.23	thf(decl_610, type, esk343_3: $o > (sum_sum_a_nat > set_o) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_611, type, esk344_3: $o > (nat > set_o) > set_nat > nat).
15.00/15.23	thf(decl_612, type, epred58_3: $o > ($o > set_o) > set_o > $o).
15.00/15.23	thf(decl_613, type, esk345_2: (nat > nat) > set_nat > nat).
15.00/15.23	thf(decl_614, type, epred59_2: sum_sum_a_nat > ($o > sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_615, type, epred60_2: nat > ($o > nat) > $o).
15.00/15.23	thf(decl_616, type, epred61_2: $o > ($o > $o) > $o).
15.00/15.23	thf(decl_617, type, esk346_2: sum_sum_a_nat > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_618, type, esk347_2: nat > (nat > nat) > nat).
15.00/15.23	thf(decl_619, type, esk348_2: $o > (nat > $o) > nat).
15.00/15.23	thf(decl_620, type, esk349_4: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_621, type, esk350_4: (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_622, type, esk351_4: (nat > sum_sum_a_nat) > set_nat > sum_sum_a_nat > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_623, type, esk352_4: (nat > sum_sum_a_nat) > set_nat > sum_sum_a_nat > set_Sum_sum_a_nat > set_nat).
15.00/15.23	thf(decl_624, type, epred62_4: ($o > sum_sum_a_nat) > set_o > sum_sum_a_nat > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_625, type, esk353_4: ($o > sum_sum_a_nat) > set_o > sum_sum_a_nat > set_Sum_sum_a_nat > set_o).
15.00/15.23	thf(decl_626, type, esk354_4: (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > nat > set_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_627, type, esk355_4: (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > nat > set_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_628, type, esk356_4: (nat > nat) > set_nat > nat > set_nat > nat).
15.00/15.23	thf(decl_629, type, esk357_4: (nat > nat) > set_nat > nat > set_nat > set_nat).
15.00/15.23	thf(decl_630, type, epred63_4: ($o > nat) > set_o > nat > set_nat > $o).
15.00/15.23	thf(decl_631, type, esk358_4: ($o > nat) > set_o > nat > set_nat > set_o).
15.00/15.23	thf(decl_632, type, esk359_4: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > $o > set_o > sum_sum_a_nat).
15.00/15.23	thf(decl_633, type, esk360_4: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > $o > set_o > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_634, type, esk361_4: (nat > $o) > set_nat > $o > set_o > nat).
15.00/15.23	thf(decl_635, type, esk362_4: (nat > $o) > set_nat > $o > set_o > set_nat).
15.00/15.23	thf(decl_636, type, epred64_4: ($o > $o) > set_o > $o > set_o > $o).
15.00/15.23	thf(decl_637, type, esk363_4: ($o > $o) > set_o > $o > set_o > set_o).
15.00/15.23	thf(decl_638, type, esk364_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat).
15.00/15.23	thf(decl_639, type, esk365_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat).
15.00/15.23	thf(decl_640, type, esk366_4: set_nat > set_o > (nat > set_a) > ($o > set_a) > nat).
15.00/15.23	thf(decl_641, type, epred65_4: set_nat > set_o > (nat > set_a) > ($o > set_a) > $o).
15.00/15.23	thf(decl_642, type, epred66_4: set_o > set_nat > ($o > set_a) > (nat > set_a) > $o).
15.00/15.23	thf(decl_643, type, esk367_4: set_o > set_nat > ($o > set_a) > (nat > set_a) > nat).
15.00/15.23	thf(decl_644, type, epred67_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o).
15.00/15.23	thf(decl_645, type, epred68_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o).
15.00/15.23	thf(decl_646, type, esk368_4: set_nat > set_nat > (nat > set_Sum_sum_a_nat) > (nat > set_Sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_647, type, esk369_4: set_nat > set_nat > (nat > set_Sum_sum_a_nat) > (nat > set_Sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_648, type, esk370_4: set_nat > set_o > (nat > set_Sum_sum_a_nat) > ($o > set_Sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_649, type, epred69_4: set_nat > set_o > (nat > set_Sum_sum_a_nat) > ($o > set_Sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_650, type, epred70_4: set_o > set_nat > ($o > set_Sum_sum_a_nat) > (nat > set_Sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_651, type, esk371_4: set_o > set_nat > ($o > set_Sum_sum_a_nat) > (nat > set_Sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_652, type, epred71_4: set_o > set_o > ($o > set_Sum_sum_a_nat) > ($o > set_Sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_653, type, epred72_4: set_o > set_o > ($o > set_Sum_sum_a_nat) > ($o > set_Sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_654, type, esk372_4: set_Sum_sum_a_nat > set_nat > (sum_sum_a_nat > set_a) > (nat > set_a) > sum_sum_a_nat).
15.00/15.23	thf(decl_655, type, esk373_4: set_Sum_sum_a_nat > set_nat > (sum_sum_a_nat > set_a) > (nat > set_a) > nat).
15.00/15.23	thf(decl_656, type, esk374_4: set_Sum_sum_a_nat > set_o > (sum_sum_a_nat > set_a) > ($o > set_a) > sum_sum_a_nat).
15.00/15.23	thf(decl_657, type, epred73_4: set_Sum_sum_a_nat > set_o > (sum_sum_a_nat > set_a) > ($o > set_a) > $o).
15.00/15.23	thf(decl_658, type, epred74_2: set_o > $o > $o).
15.00/15.23	thf(decl_659, type, esk375_2: set_se4904748513628223167_a_nat > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_660, type, esk376_2: set_set_a > set_a > set_a).
15.00/15.23	thf(decl_661, type, esk377_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_662, type, esk378_3: set_nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_663, type, epred75_3: set_o > ($o > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_664, type, esk379_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_a) > set_a > sum_sum_a_nat).
15.00/15.23	thf(decl_665, type, esk380_3: set_nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_666, type, epred76_3: set_o > ($o > set_a) > set_a > $o).
15.00/15.23	thf(decl_667, type, esk381_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_668, type, esk382_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_669, type, esk383_3: set_nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_670, type, esk384_3: set_nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_671, type, epred77_3: set_o > ($o > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_672, type, esk385_3: set_o > ($o > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_673, type, esk386_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_a) > set_a > sum_sum_a_nat).
15.00/15.23	thf(decl_674, type, esk387_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_a) > set_a > set_a).
15.00/15.23	thf(decl_675, type, esk388_3: set_nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_676, type, esk389_3: set_nat > (nat > set_a) > set_a > set_a).
15.00/15.23	thf(decl_677, type, epred78_3: set_o > ($o > set_a) > set_a > $o).
15.00/15.23	thf(decl_678, type, esk390_3: set_o > ($o > set_a) > set_a > set_a).
15.00/15.23	thf(decl_679, type, esk391_4: set_nat > set_nat > (nat > set_Sum_sum_a_nat) > (nat > set_Sum_sum_a_nat) > nat).
15.00/15.23	thf(decl_680, type, epred79_4: set_o > set_o > ($o > set_Sum_sum_a_nat) > ($o > set_Sum_sum_a_nat) > $o).
15.00/15.23	thf(decl_681, type, esk392_4: set_nat > set_nat > (nat > set_a) > (nat > set_a) > nat).
15.00/15.23	thf(decl_682, type, epred80_4: set_o > set_o > ($o > set_a) > ($o > set_a) > $o).
15.00/15.23	thf(decl_683, type, esk393_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > (sum_sum_a_nat > set_Sum_sum_a_nat) > sum_sum_a_nat).
15.00/15.23	thf(decl_684, type, esk394_4: set_Sum_sum_a_nat > set_Sum_sum_a_nat > (sum_sum_a_nat > set_a) > (sum_sum_a_nat > set_a) > sum_sum_a_nat).
15.00/15.23	thf(decl_685, type, esk395_4: set_a > set_a > (a > set_Sum_sum_a_nat) > (a > set_Sum_sum_a_nat) > a).
15.00/15.23	thf(decl_686, type, esk396_4: set_a > set_a > (a > set_a) > (a > set_a) > a).
15.00/15.23	thf(decl_687, type, esk397_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_688, type, esk398_3: set_nat > (nat > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > nat).
15.00/15.23	thf(decl_689, type, epred81_3: set_o > ($o > set_Sum_sum_a_nat) > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_690, type, esk399_3: set_Sum_sum_a_nat > (sum_sum_a_nat > set_a) > set_a > sum_sum_a_nat).
15.00/15.23	thf(decl_691, type, esk400_3: set_nat > (nat > set_a) > set_a > nat).
15.00/15.23	thf(decl_692, type, epred82_3: set_o > ($o > set_a) > set_a > $o).
15.00/15.23	thf(decl_693, type, esk401_2: (nat > $o) > nat > nat).
15.00/15.23	thf(decl_694, type, esk402_1: (nat > $o) > nat).
15.00/15.23	thf(decl_695, type, esk403_1: (nat > nat) > nat).
15.00/15.23	thf(decl_696, type, esk404_1: (nat > nat) > nat).
15.00/15.23	thf(decl_697, type, esk405_2: set_nat > nat > nat).
15.00/15.23	thf(decl_698, type, esk406_2: nat > (nat > $o) > nat).
15.00/15.23	thf(decl_699, type, esk407_2: nat > (nat > $o) > nat).
15.00/15.23	thf(decl_700, type, epred83_1: set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_701, type, epred84_1: set_nat > nat > $o).
15.00/15.23	thf(decl_702, type, epred85_1: set_o > $o > $o).
15.00/15.23	thf(decl_703, type, epred86_1: nat > nat > $o).
15.00/15.23	thf(decl_704, type, epred87_1: $o > $o > $o).
15.00/15.23	thf(decl_705, type, epred88_1: sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_706, type, epred89_0: nat > $o).
15.00/15.23	thf(decl_707, type, epred90_0: $o > $o).
15.00/15.23	thf(decl_708, type, epred91_0: sum_sum_a_nat > $o).
15.00/15.23	thf(decl_709, type, epred92_2: (nat > $o) > nat > nat > $o).
15.00/15.23	thf(decl_710, type, epred93_2: ($o > $o) > $o > $o > $o).
15.00/15.23	thf(decl_711, type, epred94_2: (sum_sum_a_nat > $o) > sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_712, type, epred95_2: set_Sum_sum_a_nat > sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_713, type, epred96_2: set_nat > nat > nat > $o).
15.00/15.23	thf(decl_714, type, epred97_2: set_o > $o > $o > $o).
15.00/15.23	thf(decl_715, type, epred98_2: set_nat > set_nat > nat > $o).
15.00/15.23	thf(decl_716, type, epred99_2: set_o > set_o > $o > $o).
15.00/15.23	thf(decl_717, type, epred100_2: set_Sum_sum_a_nat > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_718, type, epred101_2: (nat > $o) > nat > nat > $o).
15.00/15.23	thf(decl_719, type, epred102_2: ($o > $o) > $o > $o > $o).
15.00/15.23	thf(decl_720, type, epred103_2: (sum_sum_a_nat > $o) > sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_721, type, epred104_2: (nat > $o) > nat > nat > $o).
15.00/15.23	thf(decl_722, type, epred105_2: ($o > $o) > $o > $o > $o).
15.00/15.23	thf(decl_723, type, epred106_2: (sum_sum_a_nat > $o) > sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_724, type, epred107_1: set_nat > nat > $o).
15.00/15.23	thf(decl_725, type, epred108_1: set_o > $o > $o).
15.00/15.23	thf(decl_726, type, epred109_1: set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_727, type, epred110_3: (sum_sum_a_nat > $o) > (sum_sum_a_nat > sum_sum_a_nat) > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_728, type, epred111_3: (sum_sum_a_nat > sum_sum_a_nat) > (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_729, type, epred112_3: (sum_sum_a_nat > $o) > set_nat > (nat > sum_sum_a_nat) > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_730, type, epred113_3: (nat > sum_sum_a_nat) > set_nat > (sum_sum_a_nat > $o) > nat > $o).
15.00/15.23	thf(decl_731, type, epred114_3: (sum_sum_a_nat > $o) > ($o > sum_sum_a_nat) > set_o > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_732, type, epred115_3: ($o > sum_sum_a_nat) > (sum_sum_a_nat > $o) > set_o > $o > $o).
15.00/15.23	thf(decl_733, type, epred116_3: (nat > $o) > (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > nat > $o).
15.00/15.23	thf(decl_734, type, epred117_3: (sum_sum_a_nat > nat) > (nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_735, type, epred118_3: (nat > $o) > (nat > nat) > set_nat > nat > $o).
15.00/15.23	thf(decl_736, type, epred119_3: (nat > nat) > (nat > $o) > set_nat > nat > $o).
15.00/15.23	thf(decl_737, type, epred120_3: (nat > $o) > ($o > nat) > set_o > nat > $o).
15.00/15.23	thf(decl_738, type, epred121_3: ($o > nat) > (nat > $o) > set_o > $o > $o).
15.00/15.23	thf(decl_739, type, epred122_3: ($o > $o) > (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > $o > $o).
15.00/15.23	thf(decl_740, type, epred123_3: (sum_sum_a_nat > $o) > ($o > $o) > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_741, type, epred124_3: ($o > $o) > (nat > $o) > set_nat > $o > $o).
15.00/15.23	thf(decl_742, type, epred125_3: (nat > $o) > ($o > $o) > set_nat > nat > $o).
15.00/15.23	thf(decl_743, type, epred126_3: ($o > $o) > ($o > $o) > set_o > $o > $o).
15.00/15.23	thf(decl_744, type, epred127_3: ($o > $o) > ($o > $o) > set_o > $o > $o).
15.00/15.23	thf(decl_745, type, esk408_2: (nat > sum_sum_a_nat) > (sum_sum_a_nat > sum_sum_a_nat) > nat > sum_sum_a_nat).
15.00/15.23	thf(decl_746, type, esk409_2: (nat > nat) > (nat > sum_sum_a_nat) > nat > sum_sum_a_nat).
15.00/15.23	thf(decl_747, type, epred128_2: (nat > $o) > set_nat > nat > $o).
15.00/15.23	thf(decl_748, type, epred129_2: ($o > $o) > set_o > $o > $o).
15.00/15.23	thf(decl_749, type, epred130_2: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_750, type, epred131_2: (a > $o) > set_a > a > $o).
15.00/15.23	thf(decl_751, type, epred132_2: (nat > sum_sum_a_nat) > (sum_sum_a_nat > sum_sum_a_nat > $o) > nat > nat > $o).
15.00/15.23	thf(decl_752, type, esk410_1: nat > sum_sum_a_nat > nat).
15.00/15.23	thf(decl_753, type, esk411_1: nat > nat > nat).
15.00/15.23	thf(decl_754, type, esk412_1: nat > $o > nat).
15.00/15.23	thf(decl_755, type, epred133_1: $o > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_756, type, epred134_1: $o > nat > $o).
15.00/15.23	thf(decl_757, type, epred135_1: $o > $o > $o).
15.00/15.23	thf(decl_758, type, esk413_1: sum_sum_a_nat > sum_sum_a_nat > sum_sum_a_nat).
15.00/15.23	thf(decl_759, type, esk414_1: sum_sum_a_nat > nat > sum_sum_a_nat).
15.00/15.23	thf(decl_760, type, esk415_1: sum_sum_a_nat > $o > sum_sum_a_nat).
15.00/15.23	thf(decl_761, type, epred136_1: set_a > a > $o).
15.00/15.23	thf(decl_762, type, epred137_2: (sum_sum_a_nat > $o) > (sum_sum_a_nat > $o) > sum_sum_a_nat > $o).
15.00/15.23	thf(decl_763, type, epred138_2: (a > $o) > (a > $o) > a > $o).
15.00/15.23	thf(decl_764, type, esk416_1: (nat > sum_sum_a_nat) > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_765, type, esk417_2: (nat > set_nat) > nat > nat > set_nat).
15.00/15.23	thf(decl_766, type, esk418_2: (nat > set_o) > $o > nat > set_o).
15.00/15.23	thf(decl_767, type, esk419_2: (nat > set_Sum_sum_a_nat) > sum_sum_a_nat > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_768, type, esk420_2: ($o > set_nat) > nat > $o > set_nat).
15.00/15.23	thf(decl_769, type, esk421_2: ($o > set_o) > $o > $o > set_o).
15.00/15.23	thf(decl_770, type, esk422_2: ($o > set_Sum_sum_a_nat) > sum_sum_a_nat > $o > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_771, type, esk423_2: (sum_sum_a_nat > set_nat) > nat > sum_sum_a_nat > set_nat).
15.00/15.23	thf(decl_772, type, esk424_2: (sum_sum_a_nat > set_o) > $o > sum_sum_a_nat > set_o).
15.00/15.23	thf(decl_773, type, esk425_2: (sum_sum_a_nat > set_Sum_sum_a_nat) > sum_sum_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_774, type, esk426_0: nat > set_nat).
15.00/15.23	thf(decl_775, type, esk427_0: $o > set_o).
15.00/15.23	thf(decl_776, type, esk428_0: sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_777, type, epred139_0: sum_sum_a_nat > $o).
15.00/15.23	thf(decl_778, type, epred140_0: $o > $o).
15.00/15.23	thf(decl_779, type, epred141_0: nat > $o).
15.00/15.23	thf(decl_780, type, esk429_1: set_nat > nat > set_nat).
15.00/15.23	thf(decl_781, type, esk430_1: set_o > nat > set_o).
15.00/15.23	thf(decl_782, type, esk431_1: set_Sum_sum_a_nat > nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_783, type, esk432_1: set_nat > $o > set_nat).
15.00/15.23	thf(decl_784, type, esk433_1: set_o > $o > set_o).
15.00/15.23	thf(decl_785, type, esk434_1: set_Sum_sum_a_nat > $o > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_786, type, esk435_1: set_nat > sum_sum_a_nat > set_nat).
15.00/15.23	thf(decl_787, type, esk436_1: set_o > sum_sum_a_nat > set_o).
15.00/15.23	thf(decl_788, type, esk437_1: set_Sum_sum_a_nat > sum_sum_a_nat > set_Sum_sum_a_nat).
15.00/15.23	thf(decl_789, type, esk438_0: nat > nat).
15.00/15.23	thf(decl_790, type, epred142_1: set_Sum_sum_a_nat > set_Sum_sum_a_nat > $o).
15.00/15.23	thf(decl_791, type, epred143_1: set_a > set_a > $o).
15.00/15.23	thf(decl_792, type, epred144_2: (nat > nat) > set_nat > nat > $o).
15.00/15.23	thf(decl_793, type, epred145_3: (nat > nat) > nat > set_nat > nat > $o).
15.00/15.23	thf(decl_794, type, esk439_2: ($o > nat) > (nat > sum_sum_a_nat) > $o > sum_sum_a_nat).
15.00/15.23	thf(decl_795, type, esk440_1: nat > nat > nat).
15.00/15.23	thf(decl_796, type, esk441_3: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat > nat).
15.00/15.23	thf(decl_797, type, esk442_5: (nat > sum_sum_a_nat) > sum_sum_a_nat > nat > sum_sum_a_nat > (nat > sum_sum_a_nat) > nat).
15.00/15.23	thf(fact_22_ad__agr__def, axiom, ((ad_agr_a_b_nat)=(^[X34:fo_fmla_a_b]:(ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X34) @ (sP_a_b @ X34)))), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', fact_22_ad__agr__def)).
15.00/15.23	thf(fact_214_fv__fo__fmla_Osimps_I7_J, axiom, ![X252:nat, X253:fo_fmla_a_b]:(((fv_fo_fmla_a_b @ (fo_Exists_a_b @ X252 @ X253))=(minus_minus_set_nat @ (fv_fo_fmla_a_b @ X253) @ (insert_nat @ X252 @ bot_bot_set_nat)))), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', fact_214_fv__fo__fmla_Osimps_I7_J)).
15.00/15.23	thf(fact_154_SP_Osimps_I5_J, axiom, ![X252:nat, X253:fo_fmla_a_b]:(((sP_a_b @ (fo_Exists_a_b @ X252 @ X253))=(minus_minus_set_nat @ (sP_a_b @ X253) @ (insert_nat @ X252 @ bot_bot_set_nat)))), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', fact_154_SP_Osimps_I5_J)).
15.00/15.23	thf(conj_0, conjecture, (ad_agr_sets_a_nat @ (minus_minus_set_nat @ (fv_fo_fmla_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ (minus_minus_set_nat @ (sP_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ ad @ tau @ sigma), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', conj_0)).
15.00/15.23	thf(fact_0_ad__agr__sets__comm, axiom, ![X1:set_nat, X2:set_nat, X3:set_a, X4:nat > sum_sum_a_nat, X5:nat > sum_sum_a_nat]:(((ad_agr_sets_a_nat @ X1 @ X2 @ X3 @ X4 @ X5)=>(ad_agr_sets_a_nat @ X1 @ X2 @ X3 @ X5 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', fact_0_ad__agr__sets__comm)).
15.00/15.23	thf(fact_141_Exists_Oprems_I1_J, axiom, (ad_agr_a_b_nat @ (fo_Exists_a_b @ m @ phi) @ ad @ sigma @ tau), file('/export/starexec/sandbox2/tmp/tmp.p7yY33AxA0/Vampire---4.8_10134', fact_141_Exists_Oprems_I1_J)).
15.00/15.23	thf(c_0_6, plain, ![X6325:fo_fmla_a_b]:(((ad_agr_a_b_nat @ X6325)=(ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X6325) @ (sP_a_b @ X6325)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_22_ad__agr__def])])).
15.00/15.23	thf(c_0_7, plain, ![X6549:fo_fmla_a_b]:(((ad_agr_a_b_nat @ X6549)=(ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X6549) @ (sP_a_b @ X6549)))), inference(variable_rename,[status(thm)],[c_0_6])).
15.00/15.23	thf(c_0_8, plain, ![X34:fo_fmla_a_b]:(((ad_agr_a_b_nat @ X34)=(ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X34) @ (sP_a_b @ X34)))), inference(split_conjunct,[status(thm)],[c_0_7])).
15.00/15.23	thf(c_0_9, plain, ![X7039:nat, X7040:fo_fmla_a_b]:(((fv_fo_fmla_a_b @ (fo_Exists_a_b @ X7039 @ X7040))=(minus_minus_set_nat @ (fv_fo_fmla_a_b @ X7040) @ (insert_nat @ X7039 @ bot_bot_set_nat)))), inference(variable_rename,[status(thm)],[fact_214_fv__fo__fmla_Osimps_I7_J])).
15.00/15.23	thf(c_0_10, plain, ![X10867:nat]:(((esk426_0 @ X10867)=(insert_nat @ X10867 @ bot_bot_set_nat))), inference(variable_rename,[status(thm)],[])).
15.00/15.23	thf(c_0_11, plain, ![X6889:nat, X6890:fo_fmla_a_b]:(((sP_a_b @ (fo_Exists_a_b @ X6889 @ X6890))=(minus_minus_set_nat @ (sP_a_b @ X6890) @ (insert_nat @ X6889 @ bot_bot_set_nat)))), inference(variable_rename,[status(thm)],[fact_154_SP_Osimps_I5_J])).
15.00/15.23	thf(c_0_12, plain, ![X34:fo_fmla_a_b, X10948:nat > sum_sum_a_nat, X10947:set_a, X10949:nat > sum_sum_a_nat]:(((ad_agr_a_b_nat @ X34 @ X10947 @ X10948 @ X10949)<=>(ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X34) @ (sP_a_b @ X34) @ X10947 @ X10948 @ X10949))), inference(arg_cong,[status(thm)],[c_0_8])).
15.00/15.23	thf(c_0_13, plain, ![X34:fo_fmla_a_b, X10:nat]:(((fv_fo_fmla_a_b @ (fo_Exists_a_b @ X10 @ X34))=(minus_minus_set_nat @ (fv_fo_fmla_a_b @ X34) @ (insert_nat @ X10 @ bot_bot_set_nat)))), inference(split_conjunct,[status(thm)],[c_0_9])).
15.00/15.23	thf(c_0_14, plain, ![X10:nat]:(((esk426_0 @ X10)=(insert_nat @ X10 @ bot_bot_set_nat))), inference(split_conjunct,[status(thm)],[c_0_10])).
15.00/15.23	thf(c_0_15, plain, ![X34:fo_fmla_a_b, X10:nat]:(((sP_a_b @ (fo_Exists_a_b @ X10 @ X34))=(minus_minus_set_nat @ (sP_a_b @ X34) @ (insert_nat @ X10 @ bot_bot_set_nat)))), inference(split_conjunct,[status(thm)],[c_0_11])).
15.00/15.23	thf(c_0_16, negated_conjecture, ~(ad_agr_sets_a_nat @ (minus_minus_set_nat @ (fv_fo_fmla_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ (minus_minus_set_nat @ (sP_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ ad @ tau @ sigma), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
15.00/15.23	thf(c_0_17, plain, ![X6508:set_nat, X6509:set_nat, X6510:set_a, X6511:nat > sum_sum_a_nat, X6512:nat > sum_sum_a_nat]:((~(ad_agr_sets_a_nat @ X6508 @ X6509 @ X6510 @ X6511 @ X6512)|(ad_agr_sets_a_nat @ X6508 @ X6509 @ X6510 @ X6512 @ X6511))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_ad__agr__sets__comm])])).
15.00/15.23	thf(c_0_18, plain, ![X4:nat > sum_sum_a_nat, X3:set_a, X34:fo_fmla_a_b, X5:nat > sum_sum_a_nat]:(((ad_agr_sets_a_nat @ (fv_fo_fmla_a_b @ X34) @ (sP_a_b @ X34) @ X3 @ X4 @ X5)|~((ad_agr_a_b_nat @ X34 @ X3 @ X4 @ X5)))), inference(dynamic cnf,[status(thm)],[c_0_12])).
15.00/15.23	thf(c_0_19, plain, (ad_agr_a_b_nat @ (fo_Exists_a_b @ m @ phi) @ ad @ sigma @ tau), inference(split_conjunct,[status(thm)],[fact_141_Exists_Oprems_I1_J])).
15.00/15.23	thf(c_0_20, plain, ![X34:fo_fmla_a_b, X10:nat]:(((fv_fo_fmla_a_b @ (fo_Exists_a_b @ X10 @ X34))=(minus_minus_set_nat @ (fv_fo_fmla_a_b @ X34) @ (esk426_0 @ X10)))), inference(rw,[status(thm)],[c_0_13, c_0_14])).
15.00/15.23	thf(c_0_21, plain, ![X34:fo_fmla_a_b, X10:nat]:(((sP_a_b @ (fo_Exists_a_b @ X10 @ X34))=(minus_minus_set_nat @ (sP_a_b @ X34) @ (esk426_0 @ X10)))), inference(rw,[status(thm)],[c_0_15, c_0_14])).
15.00/15.23	thf(c_0_22, negated_conjecture, ~((ad_agr_sets_a_nat @ (minus_minus_set_nat @ (fv_fo_fmla_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ (minus_minus_set_nat @ (sP_a_b @ phi) @ (insert_nat @ m @ bot_bot_set_nat)) @ ad @ tau @ sigma)), inference(split_conjunct,[status(thm)],[c_0_16])).
15.00/15.23	thf(c_0_23, plain, ![X4:nat > sum_sum_a_nat, X1:set_nat, X2:set_nat, X3:set_a, X5:nat > sum_sum_a_nat]:(((ad_agr_sets_a_nat @ X1 @ X2 @ X3 @ X5 @ X4)|~((ad_agr_sets_a_nat @ X1 @ X2 @ X3 @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_17])).
15.00/15.23	thf(c_0_24, plain, (ad_agr_sets_a_nat @ (minus_minus_set_nat @ (fv_fo_fmla_a_b @ phi) @ (esk426_0 @ m)) @ (minus_minus_set_nat @ (sP_a_b @ phi) @ (esk426_0 @ m)) @ ad @ sigma @ tau), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21])).
15.00/15.23	thf(c_0_25, negated_conjecture, ~((ad_agr_sets_a_nat @ (minus_minus_set_nat @ (fv_fo_fmla_a_b @ phi) @ (esk426_0 @ m)) @ (minus_minus_set_nat @ (sP_a_b @ phi) @ (esk426_0 @ m)) @ ad @ tau @ sigma)), inference(spm,[status(thm)],[c_0_22, c_0_14])).
15.00/15.23	thf(c_0_26, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), ['proof']).
15.00/15.23	# SZS output end CNFRefutation
15.00/15.23	# Parsed axioms                        : 1486
15.00/15.23	# Removed by relevancy pruning/SinE    : 0
15.00/15.23	# Initial clauses                      : 3239
15.00/15.23	# Removed in clause preprocessing      : 331
15.00/15.23	# Initial clauses in saturation        : 2908
15.00/15.23	# Processed clauses                    : 6641
15.00/15.23	# ...of these trivial                  : 47
15.00/15.23	# ...subsumed                          : 1610
15.00/15.23	# ...remaining for further processing  : 4984
15.00/15.23	# Other redundant clauses eliminated   : 579
15.00/15.23	# Clauses deleted for lack of memory   : 0
15.00/15.23	# Backward-subsumed                    : 18
15.00/15.23	# Backward-rewritten                   : 59
15.00/15.23	# Generated clauses                    : 25082
15.00/15.23	# ...of the previous two non-redundant : 22123
15.00/15.23	# ...aggressively subsumed             : 0
15.00/15.23	# Contextual simplify-reflections      : 58
15.00/15.23	# Paramodulations                      : 24373
15.00/15.23	# Factorizations                       : 8
15.00/15.23	# NegExts                              : 2
15.00/15.23	# Equation resolutions                 : 602
15.00/15.23	# Propositional unsat checks           : 0
15.00/15.23	#    Propositional check models        : 0
15.00/15.23	#    Propositional check unsatisfiable : 0
15.00/15.23	#    Propositional clauses             : 0
15.00/15.23	#    Propositional clauses after purity: 0
15.00/15.23	#    Propositional unsat core size     : 0
15.00/15.23	#    Propositional preprocessing time  : 0.000
15.00/15.23	#    Propositional encoding time       : 0.000
15.00/15.23	#    Propositional solver time         : 0.000
15.00/15.23	#    Success case prop preproc time    : 0.000
15.00/15.23	#    Success case prop encoding time   : 0.000
15.00/15.23	#    Success case prop solver time     : 0.000
15.00/15.23	# Current number of processed clauses  : 2474
15.00/15.23	#    Positive orientable unit clauses  : 370
15.00/15.23	#    Positive unorientable unit clauses: 9
15.00/15.23	#    Negative unit clauses             : 113
15.00/15.23	#    Non-unit-clauses                  : 1982
15.00/15.23	# Current number of unprocessed clauses: 20438
15.00/15.23	# ...number of literals in the above   : 71813
15.00/15.23	# Current number of archived formulas  : 0
15.00/15.23	# Current number of archived clauses   : 2211
15.00/15.23	# Clause-clause subsumption calls (NU) : 1869805
15.00/15.23	# Rec. Clause-clause subsumption calls : 927700
15.00/15.23	# Non-unit clause-clause subsumptions  : 1012
15.00/15.23	# Unit Clause-clause subsumption calls : 35119
15.00/15.23	# Rewrite failures with RHS unbound    : 0
15.00/15.23	# BW rewrite match attempts            : 186
15.00/15.23	# BW rewrite match successes           : 74
15.00/15.23	# Condensation attempts                : 6647
15.00/15.23	# Condensation successes               : 23
15.00/15.23	# Termbank termtop insertions          : 630345
15.00/15.23	
15.00/15.23	# -------------------------------------------------
15.00/15.23	# User time                : 14.129 s
15.00/15.23	# System time              : 0.402 s
15.00/15.23	# Total time               : 14.531 s
15.00/15.23	# Maximum resident set size: 16988 pages
15.00/15.23	
15.00/15.23	# -------------------------------------------------
15.00/15.23	# User time                : 14.190 s
15.00/15.23	# System time              : 0.410 s
15.00/15.23	# Total time               : 14.600 s
15.00/15.23	# Maximum resident set size: 5388 pages
15.00/15.23	EOF