0.12/0.26 % Problem : SLH0290^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.27 % Command : run_E %s %d THM 0.27/0.48 % Computer : n018.cluster.edu 0.27/0.48 % Model : x86_64 x86_64 0.27/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.27/0.48 % Memory : 8042.1875MB 0.27/0.48 % OS : Linux 3.10.0-693.el7.x86_64 0.27/0.48 % CPULimit : 30 0.27/0.48 % WCLimit : 30 0.27/0.48 % DateTime : Mon Jul 3 09:27:16 EDT 2023 0.27/0.49 % CPUTime : 0.46/0.60 The problem SPC is TH0_THM_EQU_NAR 0.46/0.60 Running higher-order on 1 cores theorem proving 0.46/0.61 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.XhtwEynBfe/Vampire---4.8_29465 0.46/0.61 # Version: 3.0pre003-ho 0.46/1.07 # Preprocessing class: HMLMSMSMSSLNHFA. 0.46/1.07 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.46/1.07 # Starting new_ho_10 with 30s (1) cores 0.46/1.07 # new_ho_10 with pid 29645 completed with status 0 0.46/1.07 # Result found by new_ho_10 0.46/1.07 # Preprocessing class: HMLMSMSMSSLNHFA. 0.46/1.07 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.46/1.07 # Starting new_ho_10 with 30s (1) cores 0.46/1.07 # No SInE strategy applied 0.46/1.07 # Search class: HGHSM-SMLM32-DHFFFSBC 0.46/1.07 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.46/1.07 # Starting ho_unfolding_3 with 12s (1) cores 0.46/1.07 # ho_unfolding_3 with pid 29646 completed with status 0 0.46/1.07 # Result found by ho_unfolding_3 0.46/1.07 # Preprocessing class: HMLMSMSMSSLNHFA. 0.46/1.07 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.46/1.07 # Starting new_ho_10 with 30s (1) cores 0.46/1.07 # No SInE strategy applied 0.46/1.07 # Search class: HGHSM-SMLM32-DHFFFSBC 0.46/1.07 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.46/1.07 # Starting ho_unfolding_3 with 12s (1) cores 0.46/1.07 # Preprocessing time : 0.026 s 0.46/1.07 # Presaturation interreduction done 0.46/1.07 0.46/1.07 # Proof found! 0.46/1.07 # SZS status Theorem 0.46/1.07 # SZS output start CNFRefutation 0.46/1.07 thf(decl_22, type, a_RCOS6328597822339572043t_unit: partia4692342223508353374t_unit > set_nat > set_set_nat). 0.46/1.07 thf(decl_23, type, a_l_co3340896127261556338t_unit: partia4692342223508353374t_unit > nat > set_nat > set_nat). 0.46/1.07 thf(decl_24, type, additi4297497278381856430t_unit: set_nat > partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_25, type, bounde3854465399476640195t_unit: partia4692342223508353374t_unit > nat > set_list_nat). 0.46/1.07 thf(decl_26, type, bounde5390228520265920195t_unit: partia4692342223508353374t_unit > (nat > nat) > nat > list_nat). 0.46/1.07 thf(decl_27, type, partia3149769786163120205t_unit: partia3928514338208745038t_unit > set_list_nat). 0.46/1.07 thf(decl_28, type, partia3499330772048238685t_unit: partia4692342223508353374t_unit > set_nat). 0.46/1.07 thf(decl_29, type, order_4854290735109294766t_unit: partia4692342223508353374t_unit > nat). 0.46/1.07 thf(decl_30, type, essent1469963903823369878t_unit: partia4692342223508353374t_unit > list_nat > list_nat > $o). 0.46/1.07 thf(decl_31, type, factor6197082534091422385t_unit: partia4692342223508353374t_unit > list_nat > nat > $o). 0.46/1.07 thf(decl_32, type, embedd2609395410403458802t_unit: set_nat > set_nat > partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_33, type, factor1798656936486255268me_int: int > $o). 0.46/1.07 thf(decl_34, type, factor1801147406995305544me_nat: nat > $o). 0.46/1.07 thf(decl_35, type, mod_ring: nat > partia4692342223508353374t_unit). 0.46/1.07 thf(decl_36, type, finite_card_complex: set_complex > nat). 0.46/1.07 thf(decl_37, type, finite_card_list_nat: set_list_nat > nat). 0.46/1.07 thf(decl_38, type, finite_card_nat: set_nat > nat). 0.46/1.07 thf(decl_39, type, finite_card_set_nat: set_set_nat > nat). 0.46/1.07 thf(decl_40, type, finite3207457112153483333omplex: set_complex > $o). 0.46/1.07 thf(decl_41, type, finite_finite_int: set_int > $o). 0.46/1.07 thf(decl_42, type, finite8100373058378681591st_nat: set_list_nat > $o). 0.46/1.07 thf(decl_43, type, finite_finite_nat: set_nat > $o). 0.46/1.07 thf(decl_44, type, frequency_Moment_Q: nat > list_nat > int > list_nat > nat). 0.46/1.07 thf(decl_45, type, freque1172397775421732366t_hash: nat > nat > list_nat > nat). 0.46/1.07 thf(decl_46, type, frequency_Moment_m: list_nat > nat). 0.46/1.07 thf(decl_47, type, frequency_Moment_p: nat > nat). 0.46/1.07 thf(decl_48, type, frequency_Moment_s: rat > nat). 0.46/1.07 thf(decl_49, type, frequency_Moment_t: rat > nat). 0.46/1.07 thf(decl_50, type, mult_l3598037199710408769t_unit: partia3928514338208745038t_unit > list_nat > list_nat > list_nat). 0.46/1.07 thf(decl_51, type, minus_minus_int: int > int > int). 0.46/1.07 thf(decl_52, type, minus_minus_nat: nat > nat > nat). 0.46/1.07 thf(decl_53, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 0.46/1.07 thf(decl_54, type, one_one_complex: complex). 0.46/1.07 thf(decl_55, type, one_one_int: int). 0.46/1.07 thf(decl_56, type, one_one_nat: nat). 0.46/1.07 thf(decl_57, type, one_one_rat: rat). 0.46/1.07 thf(decl_58, type, one_one_real: real). 0.46/1.07 thf(decl_59, type, plus_plus_nat: nat > nat > nat). 0.46/1.07 thf(decl_60, type, times_times_complex: complex > complex > complex). 0.46/1.07 thf(decl_61, type, times_times_int: int > int > int). 0.46/1.07 thf(decl_62, type, times_times_nat: nat > nat > nat). 0.46/1.07 thf(decl_63, type, times_times_rat: rat > rat > rat). 0.46/1.07 thf(decl_64, type, times_times_real: real > real > real). 0.46/1.07 thf(decl_65, type, zero_zero_complex: complex). 0.46/1.07 thf(decl_66, type, zero_zero_int: int). 0.46/1.07 thf(decl_67, type, zero_z7348594199698428585et_nat: multiset_nat). 0.46/1.07 thf(decl_68, type, zero_zero_nat: nat). 0.46/1.07 thf(decl_69, type, zero_zero_rat: rat). 0.46/1.07 thf(decl_70, type, zero_zero_real: real). 0.46/1.07 thf(decl_71, type, harmon7765383803455486132omplex: nat > complex). 0.46/1.07 thf(decl_72, type, harmonic_harm_real: nat > real). 0.46/1.07 thf(decl_73, type, genide4496968333291595629t_unit: partia4692342223508353374t_unit > set_nat > set_nat). 0.46/1.07 thf(decl_74, type, ideal_447837613088414863t_unit: set_nat > partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_75, type, princi4652470909602072491t_unit: set_nat > partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_76, type, if_nat: $o > nat > nat > nat). 0.46/1.07 thf(decl_77, type, ring_1_of_int_real: int > real). 0.46/1.07 thf(decl_78, type, lagran1184733223296265889t_unit: partia4692342223508353374t_unit > set_nat > nat > list_nat). 0.46/1.07 thf(decl_79, type, lagran4619179050034653041t_unit: partia4692342223508353374t_unit > set_nat > list_nat). 0.46/1.07 thf(decl_80, type, nil_nat: list_nat). 0.46/1.07 thf(decl_81, type, nil_Pr5478986624290739719at_nat: list_P6011104703257516679at_nat). 0.46/1.07 thf(decl_82, type, set_nat2: list_nat > set_nat). 0.46/1.07 thf(decl_83, type, semiri8010041392384452111omplex: nat > complex). 0.46/1.07 thf(decl_84, type, semiri1314217659103216013at_int: nat > int). 0.46/1.07 thf(decl_85, type, semiri1316708129612266289at_nat: nat > nat). 0.46/1.07 thf(decl_86, type, semiri681578069525770553at_rat: nat > rat). 0.46/1.07 thf(decl_87, type, semiri5074537144036343181t_real: nat > real). 0.46/1.07 thf(decl_88, type, size_size_list_nat: list_nat > nat). 0.46/1.07 thf(decl_89, type, size_s5917832649809541300et_nat: multiset_nat > nat). 0.46/1.07 thf(decl_90, type, ord_less_list_nat_o: (list_nat > $o) > (list_nat > $o) > $o). 0.46/1.07 thf(decl_91, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o). 0.46/1.07 thf(decl_92, type, ord_less_rat_o: (rat > $o) > (rat > $o) > $o). 0.46/1.07 thf(decl_93, type, ord_less_real_o: (real > $o) > (real > $o) > $o). 0.46/1.07 thf(decl_94, type, ord_less_set_nat_o: (set_nat > $o) > (set_nat > $o) > $o). 0.46/1.07 thf(decl_95, type, ord_less_complex: complex > complex > $o). 0.46/1.07 thf(decl_96, type, ord_less_int: int > int > $o). 0.46/1.07 thf(decl_97, type, ord_less_list_nat: list_nat > list_nat > $o). 0.46/1.07 thf(decl_98, type, ord_less_nat: nat > nat > $o). 0.46/1.07 thf(decl_99, type, ord_less_rat: rat > rat > $o). 0.46/1.07 thf(decl_100, type, ord_less_real: real > real > $o). 0.46/1.07 thf(decl_101, type, ord_less_set_int: set_int > set_int > $o). 0.46/1.07 thf(decl_102, type, ord_le1190675801316882794st_nat: set_list_nat > set_list_nat > $o). 0.46/1.07 thf(decl_103, type, ord_less_set_nat: set_nat > set_nat > $o). 0.46/1.07 thf(decl_104, type, ord_less_set_rat: set_rat > set_rat > $o). 0.46/1.07 thf(decl_105, type, ord_less_set_real: set_real > set_real > $o). 0.46/1.07 thf(decl_106, type, ord_less_set_set_nat: set_set_nat > set_set_nat > $o). 0.46/1.07 thf(decl_107, type, ord_le1520216061033275535_nat_o: (list_nat > $o) > (list_nat > $o) > $o). 0.46/1.07 thf(decl_108, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o). 0.46/1.07 thf(decl_109, type, ord_less_eq_rat_o: (rat > $o) > (rat > $o) > $o). 0.46/1.07 thf(decl_110, type, ord_less_eq_real_o: (real > $o) > (real > $o) > $o). 0.46/1.07 thf(decl_111, type, ord_le3964352015994296041_nat_o: (set_nat > $o) > (set_nat > $o) > $o). 0.46/1.07 thf(decl_112, type, ord_less_eq_complex: complex > complex > $o). 0.46/1.07 thf(decl_113, type, ord_less_eq_int: int > int > $o). 0.46/1.07 thf(decl_114, type, ord_less_eq_nat: nat > nat > $o). 0.46/1.07 thf(decl_115, type, ord_less_eq_rat: rat > rat > $o). 0.46/1.07 thf(decl_116, type, ord_less_eq_real: real > real > $o). 0.46/1.07 thf(decl_117, type, ord_le211207098394363844omplex: set_complex > set_complex > $o). 0.46/1.07 thf(decl_118, type, ord_less_eq_set_int: set_int > set_int > $o). 0.46/1.07 thf(decl_119, type, ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o). 0.46/1.07 thf(decl_120, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.46/1.07 thf(decl_121, type, ord_less_eq_set_rat: set_rat > set_rat > $o). 0.46/1.07 thf(decl_122, type, ord_less_eq_set_real: set_real > set_real > $o). 0.46/1.07 thf(decl_123, type, ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o). 0.46/1.07 thf(decl_124, type, polyno5438605918436351034t_unit: partia4692342223508353374t_unit > list_nat > list_nat > $o). 0.46/1.07 thf(decl_125, type, polyno3657048055446649318t_unit: partia4692342223508353374t_unit > list_nat > nat > nat). 0.46/1.07 thf(decl_126, type, polyno8921485606125069700t_unit: partia4692342223508353374t_unit > nat > nat > list_nat). 0.46/1.07 thf(decl_127, type, polyno2849863809390331288t_unit: partia4692342223508353374t_unit > list_nat > nat > $o). 0.46/1.07 thf(decl_128, type, polyno2671082143403887841t_unit: partia4692342223508353374t_unit > list_nat > multiset_nat). 0.46/1.07 thf(decl_129, type, polyno8228050081179043874t_unit: partia4692342223508353374t_unit > set_nat > list_nat > multiset_nat). 0.46/1.07 thf(decl_130, type, polyno2220068249563514667t_unit: partia4692342223508353374t_unit > list_nat > $o). 0.46/1.07 thf(decl_131, type, polyno7407801497863813228t_unit: partia4692342223508353374t_unit > set_nat > list_nat > $o). 0.46/1.07 thf(decl_132, type, polyno706972469035745780t_unit: partia4692342223508353374t_unit > set_nat > list_nat > $o). 0.46/1.07 thf(decl_133, type, dense_1666442052194663994t_unit: partia4692342223508353374t_unit > list_nat > list_P6011104703257516679at_nat). 0.46/1.07 thf(decl_134, type, normal7331864495608602945t_unit: partia4692342223508353374t_unit > list_nat > list_nat). 0.46/1.07 thf(decl_135, type, poly_o7905497302356279026t_unit: partia4692342223508353374t_unit > list_P6011104703257516679at_nat > list_nat). 0.46/1.07 thf(decl_136, type, univ_p6780865688651612086t_unit: partia4692342223508353374t_unit > set_nat > partia3928514338208745038t_unit). 0.46/1.07 thf(decl_137, type, var_nat_Product_unit: partia4692342223508353374t_unit > list_nat). 0.46/1.07 thf(decl_138, type, power_power_complex: complex > nat > complex). 0.46/1.07 thf(decl_139, type, power_power_int: int > nat > int). 0.46/1.07 thf(decl_140, type, power_power_nat: nat > nat > nat). 0.46/1.07 thf(decl_141, type, power_power_real: real > nat > real). 0.46/1.07 thf(decl_142, type, a_minu1015303446537658656t_unit: partia3928514338208745038t_unit > list_nat > list_nat > list_nat). 0.46/1.07 thf(decl_143, type, abelia362511065248671243t_unit: partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_144, type, semiri3921172975686117281t_unit: partia4692342223508353374t_unit > $o). 0.46/1.07 thf(decl_145, type, ring_c2111903209400434062t_unit: partia4692342223508353374t_unit > nat). 0.46/1.08 thf(decl_146, type, ring_e4993594205527337196t_unit: partia4692342223508353374t_unit > (nat > nat) > $o). 0.46/1.08 thf(decl_147, type, ring_f3392887053269007909t_unit: partia4692342223508353374t_unit > $o). 0.46/1.08 thf(decl_148, type, ring_n3609824999275186451t_unit: partia4692342223508353374t_unit > $o). 0.46/1.08 thf(decl_149, type, ring_n2382801499489538855t_unit: partia4692342223508353374t_unit > $o). 0.46/1.08 thf(decl_150, type, ring_p4499206118975793756t_unit: partia4692342223508353374t_unit > $o). 0.46/1.08 thf(decl_151, type, ring_r7080231636092395046t_unit: partia3928514338208745038t_unit > list_nat > $o). 0.46/1.08 thf(decl_152, type, collect_complex: (complex > $o) > set_complex). 0.46/1.08 thf(decl_153, type, collect_int: (int > $o) > set_int). 0.46/1.08 thf(decl_154, type, collect_list_nat: (list_nat > $o) > set_list_nat). 0.46/1.08 thf(decl_155, type, collect_nat: (nat > $o) > set_nat). 0.46/1.08 thf(decl_156, type, collect_rat: (rat > $o) > set_rat). 0.46/1.08 thf(decl_157, type, collect_real: (real > $o) > set_real). 0.46/1.08 thf(decl_158, type, collect_set_nat: (set_nat > $o) > set_set_nat). 0.46/1.08 thf(decl_159, type, set_or5832277885323065728an_int: int > int > set_int). 0.46/1.08 thf(decl_160, type, set_or8018300007763170356st_nat: list_nat > list_nat > set_list_nat). 0.46/1.08 thf(decl_161, type, set_or5834768355832116004an_nat: nat > nat > set_nat). 0.46/1.08 thf(decl_162, type, set_or5199638295745620268an_rat: rat > rat > set_rat). 0.46/1.08 thf(decl_163, type, set_or1633881224788618240n_real: real > real > set_real). 0.46/1.08 thf(decl_164, type, set_or8625682525731655386et_nat: set_nat > set_nat > set_set_nat). 0.46/1.08 thf(decl_165, type, set_or7194820819169546315omplex: complex > set_complex). 0.46/1.08 thf(decl_166, type, set_ord_lessThan_int: int > set_int). 0.46/1.08 thf(decl_167, type, set_or3033090826390029821st_nat: list_nat > set_list_nat). 0.46/1.08 thf(decl_168, type, set_ord_lessThan_nat: nat > set_nat). 0.46/1.08 thf(decl_169, type, set_ord_lessThan_rat: rat > set_rat). 0.46/1.08 thf(decl_170, type, set_or5984915006950818249n_real: real > set_real). 0.46/1.08 thf(decl_171, type, set_or890127255671739683et_nat: set_nat > set_set_nat). 0.46/1.08 thf(decl_172, type, subrin2893992908230074586t_unit: set_nat > partia4692342223508353374t_unit > $o). 0.46/1.08 thf(decl_173, type, member_complex: complex > set_complex > $o). 0.46/1.08 thf(decl_174, type, member_int: int > set_int > $o). 0.46/1.08 thf(decl_175, type, member_list_nat: list_nat > set_list_nat > $o). 0.46/1.08 thf(decl_176, type, member_nat: nat > set_nat > $o). 0.46/1.08 thf(decl_177, type, member_rat: rat > set_rat > $o). 0.46/1.08 thf(decl_178, type, member_real: real > set_real > $o). 0.46/1.08 thf(decl_179, type, member_set_nat: set_nat > set_set_nat > $o). 0.46/1.08 thf(decl_180, type, delta: rat). 0.46/1.08 thf(decl_181, type, epsilon: rat). 0.46/1.08 thf(decl_182, type, omega: list_nat). 0.46/1.08 thf(decl_183, type, as: list_nat). 0.46/1.08 thf(decl_184, type, n: nat). 0.46/1.08 thf(decl_185, type, u: int). 0.46/1.08 thf(decl_186, type, v: int). 0.46/1.08 thf(decl_187, type, epred1_3: ((nat > real) > nat > real) > (nat > $o) > ((nat > real) > $o) > $o). 0.46/1.08 thf(decl_188, type, esk1_1: (nat > $o) > nat). 0.46/1.08 thf(decl_189, type, esk2_1: (nat > $o) > nat). 0.46/1.08 thf(decl_190, type, esk3_1: (nat > $o) > nat). 0.46/1.08 thf(decl_191, type, esk4_2: (nat > $o) > nat > nat). 0.46/1.08 thf(decl_192, type, esk5_1: (nat > $o) > nat). 0.46/1.08 thf(decl_193, type, esk6_1: (nat > $o) > nat). 0.46/1.08 thf(decl_194, type, esk7_2: rat > rat > rat). 0.46/1.08 thf(decl_195, type, esk8_2: real > real > real). 0.46/1.08 thf(decl_196, type, esk9_2: (list_nat > $o) > (list_nat > $o) > list_nat). 0.46/1.08 thf(decl_197, type, esk10_2: (nat > $o) > (nat > $o) > nat). 0.46/1.08 thf(decl_198, type, esk11_2: (int > $o) > (int > $o) > int). 0.46/1.08 thf(decl_199, type, esk12_2: (complex > $o) > (complex > $o) > complex). 0.46/1.08 thf(decl_200, type, esk13_2: (nat > $o) > nat > nat). 0.46/1.08 thf(decl_201, type, esk14_1: (nat > $o) > nat). 0.46/1.08 thf(decl_202, type, esk15_1: (nat > nat) > nat). 0.46/1.08 thf(decl_203, type, esk16_1: (nat > nat) > nat). 0.46/1.08 thf(decl_204, type, esk17_2: (nat > $o) > nat > nat). 0.46/1.08 thf(decl_205, type, esk18_1: int > nat). 0.46/1.08 thf(decl_206, type, esk19_1: int > nat). 0.46/1.08 thf(decl_207, type, esk20_1: int > nat). 0.46/1.08 thf(decl_208, type, esk21_1: int > nat). 0.46/1.08 thf(decl_209, type, esk22_2: set_real > real > real). 0.46/1.08 thf(decl_210, type, esk23_1: set_real > real). 0.46/1.08 thf(decl_211, type, esk24_2: set_real > real > real). 0.46/1.08 thf(decl_212, type, esk25_2: real > real > nat). 0.46/1.08 thf(decl_213, type, esk26_2: real > real > nat). 0.46/1.08 thf(decl_214, type, esk27_1: nat > nat). 0.46/1.08 thf(decl_215, type, esk28_2: ((nat > real) > $o) > ((nat > real) > nat > real) > nat > real). 0.46/1.08 thf(decl_216, type, esk29_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat > real). 0.46/1.08 thf(decl_217, type, esk30_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat). 0.46/1.08 thf(decl_218, type, esk31_2: (nat > $o) > nat > nat). 0.46/1.08 thf(decl_219, type, esk32_1: (nat > $o) > nat). 0.46/1.08 thf(decl_220, type, esk33_1: nat > nat). 0.46/1.08 thf(decl_221, type, esk34_1: nat > nat). 0.46/1.08 thf(decl_222, type, esk35_2: rat > rat > rat). 0.46/1.08 thf(decl_223, type, esk36_2: real > real > real). 0.46/1.08 thf(decl_224, type, esk37_1: real > real). 0.46/1.08 thf(decl_225, type, esk38_1: real > real). 0.46/1.08 thf(decl_226, type, esk39_2: rat > rat > nat). 0.46/1.08 thf(decl_227, type, esk40_2: real > real > nat). 0.46/1.08 thf(decl_228, type, esk41_2: set_list_nat > set_list_nat > list_nat). 0.46/1.08 thf(decl_229, type, esk42_2: set_rat > set_rat > rat). 0.46/1.08 thf(decl_230, type, esk43_2: set_real > set_real > real). 0.46/1.08 thf(decl_231, type, esk44_2: set_set_nat > set_set_nat > set_nat). 0.46/1.08 thf(decl_232, type, esk45_2: set_nat > set_nat > nat). 0.46/1.08 thf(decl_233, type, esk46_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_234, type, esk47_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_235, type, esk48_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_236, type, esk49_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_237, type, esk50_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_238, type, esk51_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_239, type, esk52_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_240, type, esk53_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_241, type, esk54_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_242, type, esk55_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_243, type, esk56_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_244, type, esk57_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_245, type, esk58_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_246, type, esk59_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_247, type, esk60_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_248, type, esk61_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_249, type, esk62_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_250, type, esk63_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_251, type, esk64_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.46/1.08 thf(decl_252, type, esk65_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.46/1.08 thf(decl_253, type, esk66_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_254, type, esk67_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_255, type, esk68_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_256, type, esk69_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_257, type, esk70_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_258, type, esk71_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_259, type, esk72_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_260, type, esk73_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_261, type, esk74_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_262, type, esk75_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_263, type, esk76_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_264, type, esk77_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_265, type, esk78_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_266, type, esk79_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_267, type, esk80_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_268, type, esk81_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_269, type, esk82_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_270, type, esk83_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_271, type, esk84_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.46/1.08 thf(decl_272, type, esk85_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.46/1.08 thf(decl_273, type, esk86_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_274, type, esk87_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_275, type, esk88_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_276, type, esk89_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_277, type, esk90_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_278, type, esk91_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_279, type, esk92_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_280, type, esk93_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_281, type, esk94_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_282, type, esk95_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_283, type, esk96_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_284, type, esk97_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_285, type, esk98_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_286, type, esk99_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_287, type, esk100_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_288, type, esk101_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_289, type, esk102_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_290, type, esk103_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_291, type, esk104_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.46/1.08 thf(decl_292, type, esk105_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.46/1.08 thf(decl_293, type, esk106_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_294, type, esk107_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_295, type, esk108_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_296, type, esk109_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_297, type, esk110_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_298, type, esk111_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_299, type, esk112_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_300, type, esk113_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_301, type, esk114_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_302, type, esk115_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_303, type, esk116_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_304, type, esk117_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_305, type, esk118_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_306, type, esk119_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_307, type, esk120_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_308, type, esk121_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_309, type, esk122_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_310, type, esk123_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_311, type, esk124_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.46/1.08 thf(decl_312, type, esk125_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.46/1.08 thf(decl_313, type, esk126_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_314, type, esk127_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_315, type, esk128_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_316, type, esk129_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_317, type, esk130_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_318, type, esk131_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_319, type, esk132_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_320, type, esk133_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_321, type, esk134_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_322, type, esk135_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_323, type, esk136_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_324, type, esk137_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_325, type, esk138_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_326, type, esk139_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_327, type, esk140_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_328, type, esk141_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_329, type, esk142_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_330, type, esk143_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_331, type, esk144_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_332, type, esk145_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_333, type, esk146_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_334, type, esk147_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_335, type, esk148_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_336, type, esk149_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_337, type, esk150_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_338, type, esk151_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_339, type, esk152_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_340, type, esk153_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_341, type, esk154_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_342, type, esk155_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_343, type, esk156_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_344, type, esk157_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_345, type, esk158_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_346, type, esk159_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_347, type, esk160_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_348, type, esk161_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_349, type, esk162_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_350, type, esk163_4: nat > (nat > nat) > nat > nat > nat). 0.46/1.08 thf(decl_351, type, esk164_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_352, type, esk165_4: nat > (int > nat) > int > int > int). 0.46/1.08 thf(decl_353, type, esk166_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_354, type, esk167_4: nat > (real > nat) > real > real > real). 0.46/1.08 thf(decl_355, type, esk168_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_356, type, esk169_4: int > (nat > int) > nat > nat > nat). 0.46/1.08 thf(decl_357, type, esk170_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_358, type, esk171_4: int > (int > int) > int > int > int). 0.46/1.08 thf(decl_359, type, esk172_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_360, type, esk173_4: int > (real > int) > real > real > real). 0.46/1.08 thf(decl_361, type, esk174_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_362, type, esk175_4: real > (nat > real) > nat > nat > nat). 0.46/1.08 thf(decl_363, type, esk176_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_364, type, esk177_4: real > (int > real) > int > int > int). 0.46/1.08 thf(decl_365, type, esk178_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_366, type, esk179_4: real > (real > real) > real > real > real). 0.46/1.08 thf(decl_367, type, esk180_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_368, type, esk181_4: nat > nat > (nat > nat) > nat > nat). 0.46/1.08 thf(decl_369, type, esk182_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_370, type, esk183_4: nat > nat > (nat > int) > int > nat). 0.46/1.08 thf(decl_371, type, esk184_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_372, type, esk185_4: nat > nat > (nat > real) > real > nat). 0.46/1.08 thf(decl_373, type, esk186_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_374, type, esk187_4: int > int > (int > nat) > nat > int). 0.46/1.08 thf(decl_375, type, esk188_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_376, type, esk189_4: int > int > (int > int) > int > int). 0.46/1.08 thf(decl_377, type, esk190_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_378, type, esk191_4: int > int > (int > real) > real > int). 0.46/1.08 thf(decl_379, type, esk192_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_380, type, esk193_4: real > real > (real > nat) > nat > real). 0.46/1.08 thf(decl_381, type, esk194_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_382, type, esk195_4: real > real > (real > int) > int > real). 0.46/1.08 thf(decl_383, type, esk196_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_384, type, esk197_4: real > real > (real > real) > real > real). 0.46/1.08 thf(decl_385, type, esk198_1: real > real). 0.46/1.08 thf(decl_386, type, esk199_1: real > real). 0.46/1.08 thf(decl_387, type, esk200_2: (list_nat > $o) > (list_nat > $o) > list_nat). 0.46/1.08 thf(decl_388, type, esk201_2: (int > $o) > (int > $o) > int). 0.46/1.08 thf(decl_389, type, esk202_2: (complex > $o) > (complex > $o) > complex). 0.46/1.08 thf(decl_390, type, esk203_2: (nat > $o) > (nat > $o) > nat). 0.46/1.08 thf(decl_391, type, esk204_2: (list_nat > $o) > (list_nat > $o) > list_nat). 0.46/1.08 thf(decl_392, type, esk205_2: (int > $o) > (int > $o) > int). 0.46/1.08 thf(decl_393, type, esk206_2: (complex > $o) > (complex > $o) > complex). 0.46/1.08 thf(decl_394, type, esk207_2: (nat > $o) > (nat > $o) > nat). 0.46/1.08 thf(decl_395, type, esk208_2: set_list_nat > set_list_nat > list_nat). 0.46/1.08 thf(decl_396, type, esk209_2: set_rat > set_rat > rat). 0.46/1.08 thf(decl_397, type, esk210_2: set_real > set_real > real). 0.46/1.08 thf(decl_398, type, esk211_2: set_set_nat > set_set_nat > set_nat). 0.46/1.08 thf(decl_399, type, esk212_2: set_nat > set_nat > nat). 0.46/1.08 thf(decl_400, type, esk213_2: set_list_nat > set_list_nat > list_nat). 0.46/1.08 thf(decl_401, type, esk214_2: set_rat > set_rat > rat). 0.46/1.08 thf(decl_402, type, esk215_2: set_real > set_real > real). 0.46/1.08 thf(decl_403, type, esk216_2: set_set_nat > set_set_nat > set_nat). 0.46/1.08 thf(decl_404, type, esk217_2: set_nat > set_nat > nat). 0.46/1.08 thf(decl_405, type, esk218_3: nat > (nat > real) > (nat > real) > nat). 0.46/1.08 thf(decl_406, type, esk219_3: nat > (nat > real) > (nat > real) > nat). 0.46/1.08 thf(decl_407, type, esk220_2: nat > (nat > nat) > nat). 0.46/1.08 thf(decl_408, type, esk221_1: int > nat). 0.46/1.08 thf(decl_409, type, esk222_1: int > nat). 0.46/1.08 thf(decl_410, type, esk223_3: int > int > (int > $o) > int). 0.46/1.08 thf(decl_411, type, esk224_3: int > int > (int > $o) > int). 0.46/1.08 thf(decl_412, type, esk225_1: set_nat > nat). 0.46/1.08 thf(decl_413, type, esk226_2: set_nat > nat > nat). 0.46/1.08 thf(decl_414, type, esk227_2: set_nat > nat > nat). 0.46/1.08 thf(decl_415, type, esk228_1: set_nat > nat). 0.46/1.08 thf(decl_416, type, esk229_2: set_nat > nat > nat). 0.46/1.08 thf(decl_417, type, esk230_1: (nat > nat) > nat). 0.46/1.08 thf(decl_418, type, esk231_2: int > (int > $o) > int). 0.46/1.08 thf(decl_419, type, esk232_2: int > (int > $o) > int). 0.46/1.08 thf(decl_420, type, esk233_4: int > (int > $o) > (int > $o) > int > int). 0.46/1.08 thf(decl_421, type, esk234_3: int > (int > $o) > (int > $o) > int). 0.46/1.08 thf(decl_422, type, esk235_2: int > (int > $o) > int). 0.46/1.08 thf(decl_423, type, esk236_2: int > (int > $o) > int). 0.46/1.08 thf(decl_424, type, esk237_4: int > (int > $o) > (int > $o) > int > int). 0.46/1.08 thf(decl_425, type, esk238_3: int > (int > $o) > (int > $o) > int). 0.46/1.08 thf(decl_426, type, esk239_2: int > (int > $o) > int). 0.46/1.08 thf(decl_427, type, esk240_0: set_nat). 0.46/1.08 thf(decl_428, type, esk241_1: set_nat > set_nat). 0.46/1.08 thf(decl_429, type, esk242_3: nat > nat > nat > nat). 0.46/1.08 thf(decl_430, type, esk243_3: nat > nat > nat > nat). 0.46/1.08 thf(decl_431, type, esk244_3: nat > nat > nat > nat). 0.46/1.08 thf(decl_432, type, esk245_2: real > real > nat). 0.46/1.08 thf(decl_433, type, esk246_2: real > real > nat). 0.46/1.08 thf(decl_434, type, esk247_2: nat > real > real). 0.46/1.08 thf(decl_435, type, esk248_2: nat > real > real). 0.46/1.08 thf(decl_436, type, esk249_2: nat > (nat > nat) > nat). 0.46/1.08 thf(decl_437, type, esk250_1: list_nat > list_nat). 0.46/1.08 thf(decl_438, type, esk251_3: ((nat > real) > $o) > (nat > $o) > ((nat > real) > nat > real) > (nat > real) > nat > nat). 0.46/1.08 thf(decl_439, type, epred2_0: list_nat > $o). 0.46/1.08 thf(decl_440, type, epred3_1: set_rat > rat > $o). 0.46/1.08 thf(decl_441, type, epred4_1: set_real > real > $o). 0.46/1.08 thf(decl_442, type, epred5_1: set_set_nat > set_nat > $o). 0.46/1.08 thf(decl_443, type, epred6_1: set_list_nat > list_nat > $o). 0.46/1.08 thf(decl_444, type, epred7_1: set_nat > nat > $o). 0.46/1.08 thf(decl_445, type, epred8_1: set_int > int > $o). 0.46/1.08 thf(decl_446, type, epred9_1: set_complex > complex > $o). 0.46/1.08 thf(decl_447, type, esk252_0: nat > nat). 0.46/1.08 thf(decl_448, type, epred10_2: int > list_nat > nat > $o). 0.46/1.08 thf(decl_449, type, epred11_1: nat > nat > $o). 0.46/1.08 thf(decl_450, type, epred12_1: list_nat > list_nat > $o). 0.46/1.08 thf(decl_451, type, epred13_1: complex > complex > $o). 0.46/1.08 thf(decl_452, type, epred14_1: int > int > $o). 0.46/1.08 thf(decl_453, type, epred15_1: real > real > $o). 0.46/1.08 thf(decl_454, type, epred16_2: (rat > $o) > set_rat > rat > $o). 0.46/1.08 thf(decl_455, type, epred17_2: (real > $o) > set_real > real > $o). 0.46/1.08 thf(decl_456, type, epred18_2: (set_nat > $o) > set_set_nat > set_nat > $o). 0.46/1.08 thf(decl_457, type, epred19_2: (list_nat > $o) > set_list_nat > list_nat > $o). 0.46/1.08 thf(decl_458, type, epred20_2: (int > $o) > set_int > int > $o). 0.46/1.08 thf(decl_459, type, epred21_2: (complex > $o) > set_complex > complex > $o). 0.46/1.08 thf(decl_460, type, epred22_2: (nat > $o) > set_nat > nat > $o). 0.46/1.08 thf(decl_461, type, epred23_1: nat > nat > $o). 0.46/1.08 thf(decl_462, type, epred24_1: nat > nat > $o). 0.46/1.08 thf(decl_463, type, epred25_2: nat > (nat > $o) > nat > $o). 0.46/1.08 thf(decl_464, type, epred26_2: nat > (nat > nat) > nat > $o). 0.46/1.08 thf(decl_465, type, epred27_2: int > int > int > $o). 0.46/1.08 thf(decl_466, type, epred28_2: int > int > int > $o). 0.46/1.08 thf(decl_467, type, epred29_2: int > int > int > $o). 0.46/1.08 thf(decl_468, type, epred30_2: int > int > int > $o). 0.46/1.08 thf(decl_469, type, epred31_2: complex > nat > complex > $o). 0.46/1.08 thf(decl_470, type, esk253_1: set_nat > nat). 0.46/1.08 thf(decl_471, type, esk254_1: set_nat > nat). 0.46/1.08 thf(decl_472, type, esk255_1: nat > nat). 0.46/1.08 thf(decl_473, type, esk256_0: nat). 0.46/1.08 thf(decl_474, type, esk257_1: nat > nat). 0.46/1.08 thf(decl_475, type, esk258_1: nat > nat). 0.46/1.08 thf(decl_476, type, esk259_1: nat > nat). 0.46/1.08 thf(decl_477, type, esk260_1: set_list_nat > list_nat). 0.46/1.08 thf(decl_478, type, esk261_1: list_nat > list_nat). 0.46/1.08 thf(decl_479, type, esk262_1: int > nat). 0.46/1.08 thf(decl_480, type, esk263_0: nat). 0.46/1.08 thf(decl_481, type, esk264_1: real > nat). 0.46/1.08 thf(decl_482, type, esk265_1: set_nat > nat). 0.46/1.08 thf(decl_483, type, esk266_2: nat > (nat > $o) > nat). 0.46/1.08 thf(decl_484, type, esk267_0: nat). 0.46/1.08 thf(decl_485, type, esk268_1: nat > nat). 0.46/1.08 thf(decl_486, type, esk269_2: set_nat > nat > nat). 0.46/1.08 thf(decl_487, type, esk270_2: nat > list_nat > nat). 0.46/1.08 thf(decl_488, type, esk271_1: list_nat > nat). 0.46/1.08 thf(fact_257_Q__def, axiom, ![X114:int, X115:list_nat]:(((frequency_Moment_Q @ n @ as @ X114 @ X115)=(finite_card_nat @ (collect_nat @ (^[X116:nat]:(((member_nat @ X116 @ (set_nat2 @ as))&(ord_less_int @ (semiri1314217659103216013at_int @ (freque1172397775421732366t_hash @ (frequency_Moment_p @ n) @ X116 @ X115)) @ X114)))))))), file('/export/starexec/sandbox2/tmp/tmp.XhtwEynBfe/Vampire---4.8_29465', fact_257_Q__def)). 0.46/1.08 thf(fact_0__092_060open_062_092_060omega_062_A_092_060in_062_A_123_092_060omega_062_O_AQ_Av_A_092_060omega_062_A_060_At_125_092_060close_062, axiom, (member_list_nat @ omega @ (collect_list_nat @ (^[X1:list_nat]:((ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ X1) @ (frequency_Moment_t @ delta)))))), file('/export/starexec/sandbox2/tmp/tmp.XhtwEynBfe/Vampire---4.8_29465', fact_0__092_060open_062_092_060omega_062_A_092_060in_062_A_123_092_060omega_062_O_AQ_Av_A_092_060omega_062_A_060_At_125_092_060close_062)). 0.46/1.08 thf(fact_45_mem__Collect__eq, axiom, ![X33:list_nat, X34:list_nat > $o]:(((member_list_nat @ X33 @ (collect_list_nat @ X34))<=>(X34 @ X33))), file('/export/starexec/sandbox2/tmp/tmp.XhtwEynBfe/Vampire---4.8_29465', fact_45_mem__Collect__eq)). 0.46/1.08 thf(conj_0, conjecture, (ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ omega) @ (frequency_Moment_t @ delta)), file('/export/starexec/sandbox2/tmp/tmp.XhtwEynBfe/Vampire---4.8_29465', conj_0)). 0.46/1.08 thf(c_0_4, plain, ![X114:int, X115:list_nat]:(((frequency_Moment_Q @ n @ as @ X114 @ X115)=(finite_card_nat @ (collect_nat @ (^[Z0:nat]:(((member_nat @ Z0 @ (set_nat2 @ as))&(ord_less_int @ (semiri1314217659103216013at_int @ (freque1172397775421732366t_hash @ (frequency_Moment_p @ n) @ Z0 @ X115)) @ X114)))))))), inference(fof_simplification,[status(thm)],[fact_257_Q__def])). 0.46/1.08 thf(c_0_5, plain, (member_list_nat @ omega @ (collect_list_nat @ (^[Z0:list_nat]:((ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ Z0) @ (frequency_Moment_t @ delta)))))), inference(fof_simplification,[status(thm)],[fact_0__092_060open_062_092_060omega_062_A_092_060in_062_A_123_092_060omega_062_O_AQ_Av_A_092_060omega_062_A_060_At_125_092_060close_062])). 0.46/1.08 thf(c_0_6, plain, ![X6675:list_nat]:(((epred2_0 @ X6675)<=>(ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ X6675) @ (frequency_Moment_t @ delta)))), introduced(definition)). 0.46/1.08 thf(c_0_7, plain, ![X6750:list_nat]:(((~(epred2_0 @ X6750)|(ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ X6750) @ (frequency_Moment_t @ delta)))&(~(ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ X6750) @ (frequency_Moment_t @ delta))|(epred2_0 @ X6750)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])). 0.46/1.08 thf(c_0_8, plain, ![X4449:int, X4450:list_nat]:(((frequency_Moment_Q @ n @ as @ X4449 @ X4450)=(finite_card_nat @ (collect_nat @ (^[Z0:nat]:(((member_nat @ Z0 @ (set_nat2 @ as))&(ord_less_int @ (semiri1314217659103216013at_int @ (freque1172397775421732366t_hash @ (frequency_Moment_p @ n) @ Z0 @ X4450)) @ X4449)))))))), inference(variable_rename,[status(thm)],[c_0_4])). 0.46/1.08 thf(c_0_9, plain, ![X6684:nat, X1:list_nat, X26:int]:(((epred10_2 @ X26 @ X1 @ X6684)<=>((member_nat @ X6684 @ (set_nat2 @ as))&(ord_less_int @ (semiri1314217659103216013at_int @ (freque1172397775421732366t_hash @ (frequency_Moment_p @ n) @ X6684 @ X1)) @ X26)))), introduced(definition)). 0.46/1.08 thf(c_0_10, plain, ![X4230:list_nat, X4231:list_nat > $o]:(((~(member_list_nat @ X4230 @ (collect_list_nat @ X4231))|(X4231 @ X4230))&(~(X4231 @ X4230)|(member_list_nat @ X4230 @ (collect_list_nat @ X4231))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_45_mem__Collect__eq])])). 0.46/1.08 thf(c_0_11, plain, (((member_list_nat @ omega @ (collect_list_nat @ epred2_0)))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6])). 0.46/1.08 thf(c_0_12, negated_conjecture, ~(ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ omega) @ (frequency_Moment_t @ delta)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.46/1.08 thf(c_0_13, plain, ![X1:list_nat]:(((ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ X1) @ (frequency_Moment_t @ delta))|~((epred2_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.46/1.08 thf(c_0_14, plain, ![X26:int, X1:list_nat]:(((frequency_Moment_Q @ n @ as @ X26 @ X1)=(finite_card_nat @ (collect_nat @ (epred10_2 @ X26 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8]), c_0_9])). 0.46/1.08 thf(c_0_15, plain, ![X1:list_nat, X34:list_nat > $o]:(((X34 @ X1)|~((member_list_nat @ X1 @ (collect_list_nat @ X34))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.46/1.08 thf(c_0_16, plain, (member_list_nat @ omega @ (collect_list_nat @ epred2_0)), inference(cn,[status(thm)],[c_0_11])). 0.46/1.08 thf(c_0_17, negated_conjecture, ~((ord_less_nat @ (frequency_Moment_Q @ n @ as @ v @ omega) @ (frequency_Moment_t @ delta))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.46/1.08 thf(c_0_18, plain, ![X1:list_nat]:(((ord_less_nat @ (finite_card_nat @ (collect_nat @ (epred10_2 @ v @ X1))) @ (frequency_Moment_t @ delta))|~((epred2_0 @ X1)))), inference(rw,[status(thm)],[c_0_13, c_0_14])). 0.46/1.08 thf(c_0_19, plain, (epred2_0 @ omega), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.46/1.08 thf(c_0_20, negated_conjecture, ~((ord_less_nat @ (finite_card_nat @ (collect_nat @ (epred10_2 @ v @ omega))) @ (frequency_Moment_t @ delta))), inference(rw,[status(thm)],[c_0_17, c_0_14])). 0.46/1.08 thf(c_0_21, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), ['proof']). 0.46/1.08 # SZS output end CNFRefutation 0.46/1.08 # Parsed axioms : 1268 0.46/1.08 # Removed by relevancy pruning/SinE : 0 0.46/1.08 # Initial clauses : 2161 0.46/1.08 # Removed in clause preprocessing : 281 0.46/1.08 # Initial clauses in saturation : 1880 0.46/1.08 # Processed clauses : 2918 0.46/1.08 # ...of these trivial : 93 0.46/1.08 # ...subsumed : 638 0.46/1.08 # ...remaining for further processing : 2187 0.46/1.08 # Other redundant clauses eliminated : 254 0.46/1.08 # Clauses deleted for lack of memory : 0 0.46/1.08 # Backward-subsumed : 4 0.46/1.08 # Backward-rewritten : 81 0.46/1.08 # Generated clauses : 1659 0.46/1.08 # ...of the previous two non-redundant : 1236 0.46/1.08 # ...aggressively subsumed : 0 0.46/1.08 # Contextual simplify-reflections : 0 0.46/1.08 # Paramodulations : 1322 0.46/1.08 # Factorizations : 0 0.46/1.08 # NegExts : 16 0.46/1.08 # Equation resolutions : 257 0.46/1.08 # Propositional unsat checks : 0 0.46/1.08 # Propositional check models : 0 0.46/1.08 # Propositional check unsatisfiable : 0 0.46/1.08 # Propositional clauses : 0 0.46/1.08 # Propositional clauses after purity: 0 0.46/1.08 # Propositional unsat core size : 0 0.46/1.08 # Propositional preprocessing time : 0.000 0.46/1.08 # Propositional encoding time : 0.000 0.46/1.08 # Propositional solver time : 0.000 0.46/1.08 # Success case prop preproc time : 0.000 0.46/1.08 # Success case prop encoding time : 0.000 0.46/1.08 # Success case prop solver time : 0.000 0.46/1.08 # Current number of processed clauses : 524 0.46/1.08 # Positive orientable unit clauses : 213 0.46/1.08 # Positive unorientable unit clauses: 7 0.46/1.08 # Negative unit clauses : 76 0.46/1.08 # Non-unit-clauses : 228 0.46/1.08 # Current number of unprocessed clauses: 1513 0.46/1.08 # ...number of literals in the above : 3865 0.46/1.08 # Current number of archived formulas : 0 0.46/1.08 # Current number of archived clauses : 1433 0.46/1.08 # Clause-clause subsumption calls (NU) : 458381 0.46/1.08 # Rec. Clause-clause subsumption calls : 315802 0.46/1.08 # Non-unit clause-clause subsumptions : 337 0.46/1.08 # Unit Clause-clause subsumption calls : 10124 0.46/1.08 # Rewrite failures with RHS unbound : 0 0.46/1.08 # BW rewrite match attempts : 140 0.46/1.08 # BW rewrite match successes : 107 0.46/1.08 # Condensation attempts : 2919 0.46/1.08 # Condensation successes : 12 0.46/1.08 # Termbank termtop insertions : 199215 0.46/1.08 0.46/1.08 # ------------------------------------------------- 0.46/1.08 # User time : 0.398 s 0.46/1.08 # System time : 0.026 s 0.46/1.08 # Total time : 0.424 s 0.46/1.08 # Maximum resident set size: 11108 pages 0.46/1.08 0.46/1.08 # ------------------------------------------------- 0.46/1.08 # User time : 0.439 s 0.46/1.08 # System time : 0.031 s 0.46/1.08 # Total time : 0.470 s 0.46/1.08 # Maximum resident set size: 4136 pages 0.46/1.08 EOF