0.09/0.28	% Problem    : SLH0070^1 : TPTP v8.2.0. Released v8.2.0.
0.09/0.29	% Command    : run_E %s %d THM
0.28/0.50	% Computer : n016.cluster.edu
0.28/0.50	% Model    : x86_64 x86_64
0.28/0.50	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.28/0.50	% Memory   : 8042.1875MB
0.28/0.50	% OS       : Linux 3.10.0-693.el7.x86_64
0.28/0.50	% CPULimit   : 30
0.28/0.50	% WCLimit    : 30
0.28/0.50	% DateTime   : Mon Jul  3 09:34:04 EDT 2023
0.28/0.50	% CPUTime    : 
0.43/0.61	The problem SPC is TH0_THM_EQU_NAR
0.43/0.61	Running higher-order on 1 cores theorem proving
0.43/0.61	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.2hGHeRLMjp/Vampire---4.8_4462
0.43/0.61	# Version: 3.0pre003-ho
2.22/2.42	# Preprocessing class: HMLMSMSMSSMNHSA.
2.22/2.42	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.22/2.42	# Starting new_ho_10 with 30s (1) cores
2.22/2.42	# new_ho_10 with pid 4641 completed with status 0
2.22/2.42	# Result found by new_ho_10
2.22/2.42	# Preprocessing class: HMLMSMSMSSMNHSA.
2.22/2.42	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.22/2.42	# Starting new_ho_10 with 30s (1) cores
2.22/2.42	# No SInE strategy applied
2.22/2.42	# Search class: HGHSM-SMLM31-DHSFFFBN
2.22/2.42	# partial match(1): HGHSM-SMLM31-MHSFFFBN
2.22/2.42	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
2.22/2.42	# Starting new_bool_1 with 19s (1) cores
2.22/2.42	# new_bool_1 with pid 4642 completed with status 0
2.22/2.42	# Result found by new_bool_1
2.22/2.42	# Preprocessing class: HMLMSMSMSSMNHSA.
2.22/2.42	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.22/2.42	# Starting new_ho_10 with 30s (1) cores
2.22/2.42	# No SInE strategy applied
2.22/2.42	# Search class: HGHSM-SMLM31-DHSFFFBN
2.22/2.42	# partial match(1): HGHSM-SMLM31-MHSFFFBN
2.22/2.42	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
2.22/2.42	# Starting new_bool_1 with 19s (1) cores
2.22/2.42	# Preprocessing time       : 0.030 s
2.22/2.42	# Presaturation interreduction done
2.22/2.42	
2.22/2.42	# Proof found!
2.22/2.42	# SZS status Theorem
2.22/2.42	# SZS output start CNFRefutation
2.22/2.42	thf(decl_22, type, assumptions_and_L0: nat).
2.22/2.42	thf(decl_23, type, assumptions_and_L02: nat).
2.22/2.42	thf(decl_24, type, assumptions_and_L03: nat).
2.22/2.42	thf(decl_25, type, assumptions_and_M0: nat).
2.22/2.42	thf(decl_26, type, assumptions_and_M02: nat).
2.22/2.42	thf(decl_27, type, assumptions_and_eps: real).
2.22/2.42	thf(decl_28, type, assump1710595444109740301irst_L: nat > nat > nat).
2.22/2.42	thf(decl_29, type, assump1710595444109740334irst_m: nat > nat).
2.22/2.42	thf(decl_30, type, assump2881078719466019805ptions: nat > nat > nat > $o).
2.22/2.42	thf(decl_31, type, assump2119784843035796504ptions: nat > nat > nat > $o).
2.22/2.42	thf(decl_32, type, assump4853309720620433339axioms: nat > nat > nat > $o).
2.22/2.42	thf(decl_33, type, binomial: nat > nat > nat).
2.22/2.42	thf(decl_34, type, clique3210737319928189260st_ACC: nat > set_set_set_nat > set_set_set_nat).
2.22/2.42	thf(decl_35, type, clique951075384711337423ACC_cf: nat > set_set_set_nat > set_nat_nat).
2.22/2.42	thf(decl_36, type, clique363107459185959606CLIQUE: nat > set_set_set_nat).
2.22/2.42	thf(decl_37, type, clique3210737375870294875st_NEG: nat > set_set_set_nat).
2.22/2.42	thf(decl_38, type, clique2971579238625216137irst_F: nat > set_nat_nat).
2.22/2.42	thf(decl_39, type, clique7840962075309931874st_G_l: nat > nat > set_set_set_nat).
2.22/2.42	thf(decl_40, type, clique3326749438856946062irst_K: nat > set_set_set_nat).
2.22/2.42	thf(decl_41, type, clique2294137941332549862_L_G_l: nat > nat > nat > set_set_set_set_nat).
2.22/2.42	thf(decl_42, type, clique3686358387679108662ccepts: set_set_set_nat > set_set_nat > $o).
2.22/2.42	thf(decl_43, type, clique5469973757772500719t_odot: set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.42	thf(decl_44, type, clique7966186356931407165_odotl: nat > nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.42	thf(decl_45, type, clique4095374090462327202g_step: nat > set_set_set_nat > set_set_set_nat).
2.22/2.42	thf(decl_46, type, clique8462013130872731469t_v_gs: set_set_set_nat > set_set_nat).
2.22/2.42	thf(decl_47, type, clique5528702923696243640at_nat: nat > nat > nat > set_nat_nat > ((nat > nat) > set_nat) > $o).
2.22/2.43	thf(decl_48, type, clique6903265979540849103mula_a: nat > nat > nat > set_Mo2626137824023173004mula_a > (monotone_mformula_a > set_nat) > $o).
2.22/2.43	thf(decl_49, type, clique5247942176440063525s_real: nat > nat > nat > set_real > (real > set_nat) > $o).
2.22/2.43	thf(decl_50, type, clique522982669833463679et_nat: nat > nat > nat > set_set_nat > (set_nat > set_nat) > $o).
2.22/2.43	thf(decl_51, type, clique2455256169097332789et_nat: nat > nat > nat > set_set_set_nat > (set_set_nat > set_nat) > $o).
2.22/2.43	thf(decl_52, type, clique3407333501437444587et_nat: nat > nat > nat > set_set_set_set_nat > (set_set_set_nat > set_nat) > $o).
2.22/2.43	thf(decl_53, type, clique8563529963003110213ions_a: nat > nat > nat > set_a > (a > set_nat) > $o).
2.22/2.43	thf(decl_54, type, clique8961599393750669800f_mf_a: nat > (a > set_nat) > monotone_mformula_a > set_nat_nat).
2.22/2.43	thf(decl_55, type, clique4708818501384062891C_mf_a: nat > (a > set_nat) > monotone_mformula_a > set_set_set_nat).
2.22/2.43	thf(decl_56, type, clique3873310923663319714_APR_a: nat > nat > nat > (a > set_nat) > monotone_mformula_a > set_set_set_nat).
2.22/2.43	thf(decl_57, type, clique1210094862117783592mula_a: set_Mo2626137824023173004mula_a > set_Mo2143135626697343604mula_a).
2.22/2.43	thf(decl_58, type, clique599365674680642430A_real: set_real > set_Mo5142863025579657674a_real).
2.22/2.43	thf(decl_59, type, clique7740924183492588046et_nat: set_set_set_nat > set_Mo2574807150581459802et_nat).
2.22/2.43	thf(decl_60, type, clique2555064243683067844et_nat: set_set_set_set_nat > set_Mo5210732246825857808et_nat).
2.22/2.43	thf(decl_61, type, clique5987991184601036204th_A_a: set_a > set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_62, type, clique6623365555141101007_neg_a: nat > nat > nat > (a > set_nat) > monotone_mformula_a > set_nat_nat).
2.22/2.43	thf(decl_63, type, clique8538548958085942603_pos_a: nat > nat > nat > (a > set_nat) > monotone_mformula_a > set_set_set_nat).
2.22/2.43	thf(decl_64, type, clique2019076642914533763_neg_a: nat > nat > nat > (a > set_nat) > monotone_mformula_a > set_nat_nat).
2.22/2.43	thf(decl_65, type, clique3934260045859375359_pos_a: nat > nat > nat > (a > set_nat) > monotone_mformula_a > set_set_set_nat).
2.22/2.43	thf(decl_66, type, clique2167767161250051942orth_n: nat > nat).
2.22/2.43	thf(decl_67, type, clique2699557479641037314nd_PLU: nat > nat > nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_68, type, clique429652266423863867U_main: nat > nat > nat > set_set_set_nat > produc4045820344675478307at_nat).
2.22/2.43	thf(decl_69, type, clique1591571987438064265eg_cap: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_nat_nat).
2.22/2.43	thf(decl_70, type, clique1591571987439376245eg_cup: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_nat_nat).
2.22/2.43	thf(decl_71, type, clique3314026705535538693os_cap: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_72, type, clique3314026705536850673os_cup: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_73, type, clique2586627118206219037_sqcap: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_74, type, clique2586627118207531017_sqcup: nat > nat > nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_75, type, semiri4449623510593786356d_enat: nat > extended_enat).
2.22/2.43	thf(decl_76, type, semiri5516887276850767914nnreal: nat > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_77, type, semiri1406184849735516958ct_int: nat > int).
2.22/2.43	thf(decl_78, type, semiri1408675320244567234ct_nat: nat > nat).
2.22/2.43	thf(decl_79, type, semiri2265585572941072030t_real: nat > real).
2.22/2.43	thf(decl_80, type, finite_card_nat_nat: set_nat_nat > nat).
2.22/2.43	thf(decl_81, type, finite_card_set_nat: set_set_nat > nat).
2.22/2.43	thf(decl_82, type, finite1149291290879098388et_nat: set_set_set_nat > nat).
2.22/2.43	thf(decl_83, type, finite_card_a: set_a > nat).
2.22/2.43	thf(decl_84, type, finite2115694454571419734at_nat: set_nat_nat > $o).
2.22/2.43	thf(decl_85, type, finite_finite_nat: set_nat > $o).
2.22/2.43	thf(decl_86, type, finite_finite_num: set_num > $o).
2.22/2.43	thf(decl_87, type, finite_finite_real: set_real > $o).
2.22/2.43	thf(decl_88, type, finite3586981331298542604at_nat: set_set_nat_nat > $o).
2.22/2.43	thf(decl_89, type, finite1152437895449049373et_nat: set_set_nat > $o).
2.22/2.43	thf(decl_90, type, finite6739761609112101331et_nat: set_set_set_nat > $o).
2.22/2.43	thf(decl_91, type, finite5926941155766903689et_nat: set_set_set_set_nat > $o).
2.22/2.43	thf(decl_92, type, finite_finite_a: set_a > $o).
2.22/2.43	thf(decl_93, type, minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat).
2.22/2.43	thf(decl_94, type, minus_minus_int: int > int > int).
2.22/2.43	thf(decl_95, type, minus_minus_nat: nat > nat > nat).
2.22/2.43	thf(decl_96, type, minus_5410813661909488930l_num1: numera4273646738625120315l_num1 > numera4273646738625120315l_num1 > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_97, type, minus_minus_real: real > real > real).
2.22/2.43	thf(decl_98, type, minus_8121590178497047118at_nat: set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_99, type, minus_3028096444314564325mula_a: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_100, type, minus_minus_set_real: set_real > set_real > set_real).
2.22/2.43	thf(decl_101, type, minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_102, type, minus_2447799839930672331et_nat: set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_103, type, minus_3113942175840221057et_nat: set_set_set_set_nat > set_set_set_set_nat > set_set_set_set_nat).
2.22/2.43	thf(decl_104, type, minus_minus_set_a: set_a > set_a > set_a).
2.22/2.43	thf(decl_105, type, one_on7984719198319812577d_enat: extended_enat).
2.22/2.43	thf(decl_106, type, one_on2969667320475766781nnreal: extend8495563244428889912nnreal).
2.22/2.43	thf(decl_107, type, one_one_int: int).
2.22/2.43	thf(decl_108, type, one_one_nat: nat).
2.22/2.43	thf(decl_109, type, one_on7795324986448017462l_num1: numera4273646738625120315l_num1).
2.22/2.43	thf(decl_110, type, one_on3868389512446148991l_num1: numera2417102609627094330l_num1).
2.22/2.43	thf(decl_111, type, one_on7819281148064737470l_num1: numera6367994245245682809l_num1).
2.22/2.43	thf(decl_112, type, one_one_real: real).
2.22/2.43	thf(decl_113, type, plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat).
2.22/2.43	thf(decl_114, type, plus_plus_nat: nat > nat > nat).
2.22/2.43	thf(decl_115, type, plus_plus_num: num > num > num).
2.22/2.43	thf(decl_116, type, plus_plus_real: real > real > real).
2.22/2.43	thf(decl_117, type, times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat).
2.22/2.43	thf(decl_118, type, times_1893300245718287421nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_119, type, times_times_int: int > int > int).
2.22/2.43	thf(decl_120, type, times_times_nat: nat > nat > nat).
2.22/2.43	thf(decl_121, type, times_times_num: num > num > num).
2.22/2.43	thf(decl_122, type, times_2938166955517408246l_num1: numera4273646738625120315l_num1 > numera4273646738625120315l_num1 > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_123, type, times_8498157372700349887l_num1: numera2417102609627094330l_num1 > numera2417102609627094330l_num1 > numera2417102609627094330l_num1).
2.22/2.43	thf(decl_124, type, times_3225676971464162558l_num1: numera6367994245245682809l_num1 > numera6367994245245682809l_num1 > numera6367994245245682809l_num1).
2.22/2.43	thf(decl_125, type, times_times_real: real > real > real).
2.22/2.43	thf(decl_126, type, inf_inf_nat: nat > nat > nat).
2.22/2.43	thf(decl_127, type, inf_inf_set_nat_nat: set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_128, type, inf_in4741988911529734942mula_a: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_129, type, inf_inf_set_real: set_real > set_real > set_real).
2.22/2.43	thf(decl_130, type, inf_inf_set_set_nat: set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_131, type, inf_in5711780100303410308et_nat: set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_132, type, inf_in2396666505901392698et_nat: set_set_set_set_nat > set_set_set_set_nat > set_set_set_set_nat).
2.22/2.43	thf(decl_133, type, inf_inf_set_a: set_a > set_a > set_a).
2.22/2.43	thf(decl_134, type, sup_sup_nat: nat > nat > nat).
2.22/2.43	thf(decl_135, type, sup_sup_set_nat_nat: set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_136, type, sup_sup_set_set_nat: set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_137, type, sup_su4213647025997063966et_nat: set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_138, type, monotone_cs_a: monotone_mformula_a > nat).
2.22/2.43	thf(decl_139, type, monotone_Conj_a: monotone_mformula_a > monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_140, type, monotone_Disj_a: monotone_mformula_a > monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_141, type, monotone_FALSE_a: monotone_mformula_a).
2.22/2.43	thf(decl_142, type, monotone_TRUE_a: monotone_mformula_a).
2.22/2.43	thf(decl_143, type, monoto932558850274723920mula_a: monotone_mformula_a > monoto5348676645462821012mula_a).
2.22/2.43	thf(decl_144, type, monotone_Var_real: real > monoto5128229694023682026a_real).
2.22/2.43	thf(decl_145, type, monoto3251651810667535926et_nat: set_set_nat > monoto5483634261523599098et_nat).
2.22/2.43	thf(decl_146, type, monoto7822445266502226924et_nat: set_set_set_nat > monoto8535755219626829232et_nat).
2.22/2.43	thf(decl_147, type, monotone_Var_a: a > monotone_mformula_a).
2.22/2.43	thf(decl_148, type, monoto4877036962378694605mula_a: set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_149, type, semiri4216267220026989637d_enat: nat > extended_enat).
2.22/2.43	thf(decl_150, type, semiri6283507881447550617nnreal: nat > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_151, type, semiri1314217659103216013at_int: nat > int).
2.22/2.43	thf(decl_152, type, semiri1316708129612266289at_nat: nat > nat).
2.22/2.43	thf(decl_153, type, semiri5667362542588693146l_num1: nat > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_154, type, semiri1795386414920522267l_num1: nat > numera2417102609627094330l_num1).
2.22/2.43	thf(decl_155, type, semiri5746278050539110746l_num1: nat > numera6367994245245682809l_num1).
2.22/2.43	thf(decl_156, type, semiri5074537144036343181t_real: nat > real).
2.22/2.43	thf(decl_157, type, root: nat > real > real).
2.22/2.43	thf(decl_158, type, sqrt: real > real).
2.22/2.43	thf(decl_159, type, bit0: num > num).
2.22/2.43	thf(decl_160, type, bit1: num > num).
2.22/2.43	thf(decl_161, type, one: num).
2.22/2.43	thf(decl_162, type, numera1916890842035813515d_enat: num > extended_enat).
2.22/2.43	thf(decl_163, type, numera4658534427948366547nnreal: num > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_164, type, numeral_numeral_int: num > int).
2.22/2.43	thf(decl_165, type, numeral_numeral_nat: num > nat).
2.22/2.43	thf(decl_166, type, numera7754357348821619680l_num1: num > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_167, type, numera2161328050825114965l_num1: num > numera2417102609627094330l_num1).
2.22/2.43	thf(decl_168, type, numera6112219686443703444l_num1: num > numera6367994245245682809l_num1).
2.22/2.43	thf(decl_169, type, numeral_numeral_real: num > real).
2.22/2.43	thf(decl_170, type, bot_bot_nat_nat_o: (nat > nat) > $o).
2.22/2.43	thf(decl_171, type, bot_bot_set_nat_o: set_nat > $o).
2.22/2.43	thf(decl_172, type, bot_bo6227097192321305471_nat_o: set_set_nat > $o).
2.22/2.43	thf(decl_173, type, bot_bot_set_nat_nat: set_nat_nat).
2.22/2.43	thf(decl_174, type, bot_bo3042613601904376864mula_a: set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_175, type, bot_bot_set_nat: set_nat).
2.22/2.43	thf(decl_176, type, bot_bot_set_num: set_num).
2.22/2.43	thf(decl_177, type, bot_bot_set_real: set_real).
2.22/2.43	thf(decl_178, type, bot_bo7376149671870096959at_nat: set_set_nat_nat).
2.22/2.43	thf(decl_179, type, bot_bot_set_set_nat: set_set_nat).
2.22/2.43	thf(decl_180, type, bot_bo7198184520161983622et_nat: set_set_set_nat).
2.22/2.43	thf(decl_181, type, bot_bo193956671110832956et_nat: set_set_set_set_nat).
2.22/2.43	thf(decl_182, type, bot_bot_set_a: set_a).
2.22/2.43	thf(decl_183, type, ord_le72135733267957522d_enat: extended_enat > extended_enat > $o).
2.22/2.43	thf(decl_184, type, ord_le7381754540660121996nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > $o).
2.22/2.43	thf(decl_185, type, ord_less_nat: nat > nat > $o).
2.22/2.43	thf(decl_186, type, ord_less_num: num > num > $o).
2.22/2.43	thf(decl_187, type, ord_less_real: real > real > $o).
2.22/2.43	thf(decl_188, type, ord_le152980574450754630et_nat: set_set_set_nat > set_set_set_nat > $o).
2.22/2.43	thf(decl_189, type, ord_less_eq_nat_nat: (nat > nat) > (nat > nat) > $o).
2.22/2.43	thf(decl_190, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o).
2.22/2.43	thf(decl_191, type, ord_le3935885782089961368nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > $o).
2.22/2.43	thf(decl_192, type, ord_less_eq_int: int > int > $o).
2.22/2.43	thf(decl_193, type, ord_less_eq_nat: nat > nat > $o).
2.22/2.43	thf(decl_194, type, ord_less_eq_num: num > num > $o).
2.22/2.43	thf(decl_195, type, ord_less_eq_real: real > real > $o).
2.22/2.43	thf(decl_196, type, ord_le9059583361652607317at_nat: set_nat_nat > set_nat_nat > $o).
2.22/2.43	thf(decl_197, type, ord_le5054881893329012716mula_a: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > $o).
2.22/2.43	thf(decl_198, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
2.22/2.43	thf(decl_199, type, ord_less_eq_set_real: set_real > set_real > $o).
2.22/2.43	thf(decl_200, type, ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o).
2.22/2.43	thf(decl_201, type, ord_le9131159989063066194et_nat: set_set_set_nat > set_set_set_nat > $o).
2.22/2.43	thf(decl_202, type, ord_le572741076514265352et_nat: set_set_set_set_nat > set_set_set_set_nat > $o).
2.22/2.43	thf(decl_203, type, ord_less_eq_set_a: set_a > set_a > $o).
2.22/2.43	thf(decl_204, type, power_8040749407984259932d_enat: extended_enat > nat > extended_enat).
2.22/2.43	thf(decl_205, type, power_6007165696250533058nnreal: extend8495563244428889912nnreal > nat > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_206, type, power_power_int: int > nat > int).
2.22/2.43	thf(decl_207, type, power_power_nat: nat > nat > nat).
2.22/2.43	thf(decl_208, type, power_1002146276965246001l_num1: numera4273646738625120315l_num1 > nat > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_209, type, power_7402600760894073284l_num1: numera2417102609627094330l_num1 > nat > numera2417102609627094330l_num1).
2.22/2.43	thf(decl_210, type, power_2130120359657885955l_num1: numera6367994245245682809l_num1 > nat > numera6367994245245682809l_num1).
2.22/2.43	thf(decl_211, type, power_power_real: real > nat > real).
2.22/2.43	thf(decl_212, type, product_Pair_num_num: num > num > product_prod_num_num).
2.22/2.43	thf(decl_213, type, produc2803780273060847707at_nat: set_set_set_nat > nat > produc4045820344675478307at_nat).
2.22/2.43	thf(decl_214, type, divide4826598186094686858nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > extend8495563244428889912nnreal).
2.22/2.43	thf(decl_215, type, divide_divide_int: int > int > int).
2.22/2.43	thf(decl_216, type, divide_divide_nat: nat > nat > nat).
2.22/2.43	thf(decl_217, type, divide_divide_real: real > real > real).
2.22/2.43	thf(decl_218, type, collect_nat_nat: ((nat > nat) > $o) > set_nat_nat).
2.22/2.43	thf(decl_219, type, collec4794253742848188331mula_a: (monotone_mformula_a > $o) > set_Mo2626137824023173004mula_a).
2.22/2.43	thf(decl_220, type, collect_real: (real > $o) > set_real).
2.22/2.43	thf(decl_221, type, collect_set_nat: (set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_222, type, collect_set_set_nat: (set_set_nat > $o) > set_set_set_nat).
2.22/2.43	thf(decl_223, type, collec7201453139178570183et_nat: (set_set_set_nat > $o) > set_set_set_set_nat).
2.22/2.43	thf(decl_224, type, collect_a: (a > $o) > set_a).
2.22/2.43	thf(decl_225, type, log: real > real > real).
2.22/2.43	thf(decl_226, type, powr_real: real > real > real).
2.22/2.43	thf(decl_227, type, member_nat_nat: (nat > nat) > set_nat_nat > $o).
2.22/2.43	thf(decl_228, type, member7301845319495194941mula_a: monoto5348676645462821012mula_a > set_Mo2143135626697343604mula_a > $o).
2.22/2.43	thf(decl_229, type, member127535134946891667a_real: monoto5128229694023682026a_real > set_Mo5142863025579657674a_real > $o).
2.22/2.43	thf(decl_230, type, member4844836972813196067et_nat: monoto5483634261523599098et_nat > set_Mo2574807150581459802et_nat > $o).
2.22/2.43	thf(decl_231, type, member4689220760989666777et_nat: monoto8535755219626829232et_nat > set_Mo5210732246825857808et_nat > $o).
2.22/2.43	thf(decl_232, type, member535913909593306477mula_a: monotone_mformula_a > set_Mo2626137824023173004mula_a > $o).
2.22/2.43	thf(decl_233, type, member_nat: nat > set_nat > $o).
2.22/2.43	thf(decl_234, type, member_num: num > set_num > $o).
2.22/2.43	thf(decl_235, type, member_real: real > set_real > $o).
2.22/2.43	thf(decl_236, type, member_set_nat_nat: set_nat_nat > set_set_nat_nat > $o).
2.22/2.43	thf(decl_237, type, member_set_nat: set_nat > set_set_nat > $o).
2.22/2.43	thf(decl_238, type, member_set_set_nat: set_set_nat > set_set_set_nat > $o).
2.22/2.43	thf(decl_239, type, member2946998982187404937et_nat: set_set_set_nat > set_set_set_set_nat > $o).
2.22/2.43	thf(decl_240, type, member_a: a > set_a > $o).
2.22/2.43	thf(decl_241, type, v: set_a).
2.22/2.43	thf(decl_242, type, phi: monotone_mformula_a).
2.22/2.43	thf(decl_243, type, pi: a > set_nat).
2.22/2.43	thf(decl_244, type, k: nat).
2.22/2.43	thf(decl_245, type, l: nat).
2.22/2.43	thf(decl_246, type, p: nat).
2.22/2.43	thf(decl_247, type, esk1_2: set_set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_248, type, esk2_2: (nat > $o) > nat > nat).
2.22/2.43	thf(decl_249, type, esk3_1: (nat > $o) > nat).
2.22/2.43	thf(decl_250, type, esk4_1: (numera2417102609627094330l_num1 > $o) > numera2417102609627094330l_num1).
2.22/2.43	thf(decl_251, type, esk5_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_252, type, esk6_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_253, type, esk7_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_254, type, esk8_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_255, type, esk9_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_256, type, esk10_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_257, type, esk11_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_258, type, esk12_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_259, type, esk13_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_260, type, esk14_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_261, type, esk15_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_262, type, esk16_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_263, type, esk17_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_264, type, esk18_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_265, type, esk19_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_266, type, esk20_2: monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_267, type, esk21_2: monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_268, type, esk22_2: monotone_mformula_a > set_set_set_nat > a).
2.22/2.43	thf(decl_269, type, esk23_2: monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_270, type, esk24_2: monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_271, type, esk25_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_272, type, esk26_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_273, type, esk27_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_274, type, esk28_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_275, type, esk29_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_276, type, esk30_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_277, type, esk31_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_278, type, esk32_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_279, type, esk33_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_280, type, esk34_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_281, type, esk35_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_282, type, esk36_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_283, type, esk37_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_284, type, esk38_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_285, type, esk39_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_286, type, esk40_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_287, type, esk41_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_288, type, esk42_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_set_set_nat > a).
2.22/2.43	thf(decl_289, type, esk43_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_290, type, esk44_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_set_set_nat > monotone_mformula_a).
2.22/2.43	thf(decl_291, type, esk45_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_292, type, esk46_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_293, type, esk47_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_294, type, esk48_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_295, type, esk49_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_296, type, esk50_2: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_297, type, esk51_2: set_set_set_set_nat > set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_298, type, esk52_2: set_a > set_a > a).
2.22/2.43	thf(decl_299, type, esk53_2: set_real > set_real > real).
2.22/2.43	thf(decl_300, type, esk54_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_301, type, esk55_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_302, type, esk56_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_303, type, esk57_1: (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_304, type, esk58_1: (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_305, type, esk59_1: ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_306, type, esk60_1: (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_307, type, esk61_1: (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_308, type, esk62_1: ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_309, type, esk63_1: set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_310, type, esk64_1: set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_311, type, esk65_1: set_a > a).
2.22/2.43	thf(decl_312, type, esk66_1: set_real > real).
2.22/2.43	thf(decl_313, type, esk67_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_314, type, esk68_1: set_set_nat > set_nat).
2.22/2.43	thf(decl_315, type, esk69_1: set_nat_nat > nat > nat).
2.22/2.43	thf(decl_316, type, esk70_2: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_317, type, esk71_2: set_set_set_set_nat > set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_318, type, esk72_2: set_a > set_a > a).
2.22/2.43	thf(decl_319, type, esk73_2: set_real > set_real > real).
2.22/2.43	thf(decl_320, type, esk74_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_321, type, esk75_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_322, type, esk76_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_323, type, esk77_2: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_324, type, esk78_2: set_set_set_set_nat > set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_325, type, esk79_2: set_a > set_a > a).
2.22/2.43	thf(decl_326, type, esk80_2: set_real > set_real > real).
2.22/2.43	thf(decl_327, type, esk81_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_328, type, esk82_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_329, type, esk83_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_330, type, esk84_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_331, type, esk85_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_332, type, esk86_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_333, type, esk87_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_334, type, esk88_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_335, type, esk89_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_336, type, esk90_4: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > (monotone_mformula_a > $o) > (monotone_mformula_a > $o) > monotone_mformula_a).
2.22/2.43	thf(decl_337, type, esk91_4: set_set_set_set_nat > set_set_set_set_nat > (set_set_set_nat > $o) > (set_set_set_nat > $o) > set_set_set_nat).
2.22/2.43	thf(decl_338, type, esk92_4: set_a > set_a > (a > $o) > (a > $o) > a).
2.22/2.43	thf(decl_339, type, esk93_4: set_real > set_real > (real > $o) > (real > $o) > real).
2.22/2.43	thf(decl_340, type, esk94_4: set_set_set_nat > set_set_set_nat > (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_341, type, esk95_4: set_set_nat > set_set_nat > (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_342, type, esk96_4: set_nat_nat > set_nat_nat > ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_343, type, esk97_3: set_set_set_nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_344, type, esk98_3: set_set_set_nat > set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_345, type, esk99_3: set_set_nat > set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_346, type, esk100_3: set_set_nat > set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_347, type, esk101_3: set_nat_nat > set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_348, type, esk102_3: set_nat_nat > set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_349, type, esk103_2: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_350, type, esk104_2: set_set_set_set_nat > set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_351, type, esk105_2: set_a > set_a > a).
2.22/2.43	thf(decl_352, type, esk106_2: set_real > set_real > real).
2.22/2.43	thf(decl_353, type, esk107_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_354, type, esk108_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_355, type, esk109_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_356, type, esk110_2: set_Mo2626137824023173004mula_a > set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_357, type, esk111_2: set_set_set_set_nat > set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_358, type, esk112_2: set_a > set_a > a).
2.22/2.43	thf(decl_359, type, esk113_2: set_real > set_real > real).
2.22/2.43	thf(decl_360, type, esk114_2: set_set_set_nat > set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_361, type, esk115_2: set_set_nat > set_set_nat > set_nat).
2.22/2.43	thf(decl_362, type, esk116_2: set_nat_nat > set_nat_nat > nat > nat).
2.22/2.43	thf(decl_363, type, esk117_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_364, type, esk118_2: (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_365, type, esk119_2: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_366, type, esk120_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_367, type, esk121_2: (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_368, type, esk122_2: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_369, type, esk123_1: set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_370, type, esk124_1: set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_371, type, esk125_1: set_a > a).
2.22/2.43	thf(decl_372, type, esk126_1: set_real > real).
2.22/2.43	thf(decl_373, type, esk127_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_374, type, esk128_1: set_set_nat > set_nat).
2.22/2.43	thf(decl_375, type, esk129_1: set_nat_nat > nat > nat).
2.22/2.43	thf(decl_376, type, esk130_1: set_Mo2626137824023173004mula_a > monotone_mformula_a).
2.22/2.43	thf(decl_377, type, esk131_1: set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_378, type, esk132_1: set_a > a).
2.22/2.43	thf(decl_379, type, esk133_1: set_real > real).
2.22/2.43	thf(decl_380, type, esk134_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_381, type, esk135_1: set_set_nat > set_nat).
2.22/2.43	thf(decl_382, type, esk136_1: set_nat_nat > nat > nat).
2.22/2.43	thf(decl_383, type, esk137_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_384, type, esk138_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_385, type, esk139_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_386, type, esk140_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_387, type, esk141_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_388, type, esk142_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_389, type, esk143_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_390, type, esk144_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_391, type, esk145_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_392, type, esk146_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_393, type, esk147_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_394, type, esk148_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_395, type, esk149_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_396, type, esk150_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_397, type, esk151_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_398, type, esk152_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_399, type, esk153_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_400, type, esk154_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_401, type, esk155_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_402, type, esk156_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_403, type, esk157_1: monotone_mformula_a > a).
2.22/2.43	thf(decl_404, type, esk158_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_405, type, esk159_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_406, type, esk160_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_407, type, esk161_1: monotone_mformula_a > monotone_mformula_a).
2.22/2.43	thf(decl_408, type, esk162_2: monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_409, type, esk163_2: monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_410, type, esk164_2: monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_411, type, esk165_2: monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_412, type, esk166_2: monotone_mformula_a > set_nat_nat > a).
2.22/2.43	thf(decl_413, type, esk167_2: set_real > real > real).
2.22/2.43	thf(decl_414, type, esk168_2: set_nat_nat > (nat > nat) > nat > nat).
2.22/2.43	thf(decl_415, type, esk169_2: set_set_nat > set_nat > set_nat).
2.22/2.43	thf(decl_416, type, esk170_2: set_set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_417, type, esk171_2: set_set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_418, type, esk172_2: set_set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_419, type, esk173_2: set_num > num > num).
2.22/2.43	thf(decl_420, type, esk174_2: set_nat > nat > nat).
2.22/2.43	thf(decl_421, type, esk175_2: set_real > real > real).
2.22/2.43	thf(decl_422, type, esk176_2: set_nat_nat > (nat > nat) > nat > nat).
2.22/2.43	thf(decl_423, type, esk177_2: set_set_nat > set_nat > set_nat).
2.22/2.43	thf(decl_424, type, esk178_2: set_set_set_set_nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_425, type, esk179_2: set_set_set_nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_426, type, esk180_2: set_set_nat_nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_427, type, esk181_2: set_num > num > num).
2.22/2.43	thf(decl_428, type, esk182_2: set_nat > nat > nat).
2.22/2.43	thf(decl_429, type, esk183_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_430, type, esk184_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_431, type, esk185_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_432, type, esk186_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_nat_nat > monotone_mformula_a).
2.22/2.43	thf(decl_433, type, esk187_7: nat > nat > nat > set_a > (a > set_nat) > monotone_mformula_a > set_nat_nat > a).
2.22/2.43	thf(decl_434, type, esk188_1: set_set_nat > set_nat).
2.22/2.43	thf(decl_435, type, esk189_1: set_nat_nat > nat > nat).
2.22/2.43	thf(decl_436, type, esk190_1: set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_437, type, esk191_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_438, type, esk192_1: set_set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_439, type, esk193_1: set_num > num).
2.22/2.43	thf(decl_440, type, esk194_1: set_nat > nat).
2.22/2.43	thf(decl_441, type, esk195_1: set_set_nat > set_nat).
2.22/2.43	thf(decl_442, type, esk196_1: set_nat_nat > nat > nat).
2.22/2.43	thf(decl_443, type, esk197_1: set_set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_444, type, esk198_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_445, type, esk199_1: set_set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_446, type, esk200_1: set_num > num).
2.22/2.43	thf(decl_447, type, esk201_1: set_nat > nat).
2.22/2.43	thf(decl_448, type, esk202_2: set_a > nat > set_a).
2.22/2.43	thf(decl_449, type, esk203_2: set_set_set_nat > nat > set_set_set_nat).
2.22/2.43	thf(decl_450, type, esk204_2: set_set_nat > nat > set_set_nat).
2.22/2.43	thf(decl_451, type, esk205_2: set_nat_nat > nat > set_nat_nat).
2.22/2.43	thf(decl_452, type, esk206_3: set_a > nat > set_a > set_a).
2.22/2.43	thf(decl_453, type, esk207_3: set_set_set_nat > nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_454, type, esk208_3: set_set_nat > nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_455, type, esk209_3: set_nat_nat > nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_456, type, esk210_2: nat > set_a > set_a).
2.22/2.43	thf(decl_457, type, esk211_2: nat > set_set_set_nat > set_set_set_nat).
2.22/2.43	thf(decl_458, type, esk212_2: nat > set_set_nat > set_set_nat).
2.22/2.43	thf(decl_459, type, esk213_2: nat > set_nat_nat > set_nat_nat).
2.22/2.43	thf(decl_460, type, esk214_2: set_a > nat > set_a).
2.22/2.43	thf(decl_461, type, esk215_2: set_set_set_nat > nat > set_set_set_nat).
2.22/2.43	thf(decl_462, type, esk216_2: set_set_nat > nat > set_set_nat).
2.22/2.43	thf(decl_463, type, esk217_2: set_nat_nat > nat > set_nat_nat).
2.22/2.43	thf(decl_464, type, esk218_2: real > real > nat).
2.22/2.43	thf(decl_465, type, esk219_2: set_real > real > real).
2.22/2.43	thf(decl_466, type, esk220_1: set_real > real).
2.22/2.43	thf(decl_467, type, esk221_2: set_real > real > real).
2.22/2.43	thf(decl_468, type, esk222_1: (nat > $o) > nat).
2.22/2.43	thf(decl_469, type, esk223_1: (nat > $o) > nat).
2.22/2.43	thf(decl_470, type, esk224_1: (nat > nat) > nat).
2.22/2.43	thf(decl_471, type, esk225_1: (nat > nat) > nat).
2.22/2.43	thf(decl_472, type, esk226_1: (numera6367994245245682809l_num1 > $o) > numera6367994245245682809l_num1).
2.22/2.43	thf(decl_473, type, esk227_1: (numera4273646738625120315l_num1 > $o) > numera4273646738625120315l_num1).
2.22/2.43	thf(decl_474, type, esk228_1: num > num).
2.22/2.43	thf(decl_475, type, esk229_1: num > num).
2.22/2.43	thf(decl_476, type, esk230_1: (extended_enat > $o) > extended_enat).
2.22/2.43	thf(decl_477, type, esk231_2: nat > nat > nat).
2.22/2.43	thf(decl_478, type, esk232_2: nat > nat > nat).
2.22/2.43	thf(decl_479, type, esk233_1: (nat > nat) > nat).
2.22/2.43	thf(decl_480, type, esk234_1: (nat > nat) > nat).
2.22/2.43	thf(decl_481, type, esk235_2: nat > nat > nat).
2.22/2.43	thf(decl_482, type, esk236_2: nat > nat > nat).
2.22/2.43	thf(decl_483, type, esk237_1: product_prod_num_num > num).
2.22/2.43	thf(decl_484, type, esk238_1: product_prod_num_num > num).
2.22/2.43	thf(decl_485, type, esk239_1: product_prod_num_num > num).
2.22/2.43	thf(decl_486, type, esk240_1: product_prod_num_num > num).
2.22/2.43	thf(decl_487, type, esk241_1: product_prod_num_num > num).
2.22/2.43	thf(decl_488, type, esk242_1: product_prod_num_num > num).
2.22/2.43	thf(decl_489, type, esk243_1: product_prod_num_num > num).
2.22/2.43	thf(decl_490, type, esk244_1: product_prod_num_num > num).
2.22/2.43	thf(decl_491, type, esk245_1: product_prod_num_num > num).
2.22/2.43	thf(decl_492, type, esk246_1: product_prod_num_num > num).
2.22/2.43	thf(decl_493, type, esk247_1: product_prod_num_num > num).
2.22/2.43	thf(decl_494, type, esk248_1: product_prod_num_num > num).
2.22/2.43	thf(decl_495, type, epred1_1: set_Mo2626137824023173004mula_a > monotone_mformula_a > $o).
2.22/2.43	thf(decl_496, type, epred2_1: set_set_set_nat > set_set_nat > $o).
2.22/2.43	thf(decl_497, type, epred3_1: set_set_set_set_nat > set_set_set_nat > $o).
2.22/2.43	thf(decl_498, type, epred4_1: set_a > a > $o).
2.22/2.43	thf(decl_499, type, epred5_1: set_real > real > $o).
2.22/2.43	thf(decl_500, type, esk249_0: set_set_nat).
2.22/2.43	thf(decl_501, type, esk250_1: nat > nat).
2.22/2.43	thf(decl_502, type, esk251_0: set_nat).
2.22/2.43	thf(decl_503, type, esk252_0: set_set_nat).
2.22/2.43	thf(decl_504, type, esk253_1: (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_505, type, esk254_2: ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_506, type, esk255_1: (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_507, type, esk256_1: (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_508, type, esk257_1: set_set_set_nat > set_set_nat).
2.22/2.43	thf(decl_509, type, esk258_2: (set_set_nat > set_set_nat) > (set_set_nat > set_set_nat) > set_set_nat).
2.22/2.43	thf(decl_510, type, esk259_3: ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > (nat > nat) > nat).
2.22/2.43	thf(decl_511, type, esk260_3: ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > nat > nat).
2.22/2.43	thf(decl_512, type, esk261_3: ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > (nat > nat) > nat).
2.22/2.43	thf(decl_513, type, esk262_2: (set_nat > set_nat) > (set_nat > set_nat) > set_nat).
2.22/2.43	thf(decl_514, type, esk263_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_515, type, esk264_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_516, type, esk265_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_517, type, esk266_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_518, type, esk267_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_519, type, esk268_3: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_520, type, esk269_3: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_521, type, esk270_3: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat).
2.22/2.43	thf(decl_522, type, esk271_2: (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_523, type, esk272_2: (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_524, type, esk273_2: (set_nat > $o) > (set_nat > $o) > set_nat).
2.22/2.43	thf(decl_525, type, esk274_2: (set_set_nat > $o) > (set_set_nat > $o) > set_set_nat).
2.22/2.43	thf(decl_526, type, esk275_2: (set_set_nat > set_set_nat) > (set_set_nat > set_set_nat) > set_set_nat).
2.22/2.43	thf(decl_527, type, esk276_0: set_set_nat).
2.22/2.43	thf(decl_528, type, esk277_3: ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > nat > nat).
2.22/2.43	thf(fact_9_calculation, axiom, ((binomial @ (assump1710595444109740334irst_m @ k) @ k)=(finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_9_calculation)).
2.22/2.43	thf(fact_3_m__def, axiom, ((assump1710595444109740334irst_m @ k)=(power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_3_m__def)).
2.22/2.43	thf(conj_0, conjecture, (ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ phi) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat)))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', conj_0)).
2.22/2.43	thf(fact_14_local_Oid, axiom, ((clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi)=(clique3326749438856946062irst_K @ k)), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_14_local_Oid)).
2.22/2.43	thf(fact_255_mult_Ocommute, axiom, ((times_times_nat)=(^[X221:nat, X222:nat]:(times_times_nat @ X222 @ X221))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_255_mult_Ocommute)).
2.22/2.43	thf(fact_199_card__deviate__Pos, axiom, ![X14:monotone_mformula_a]:(((member535913909593306477mula_a @ X14 @ monoto4877036962378694605mula_a)=>((member535913909593306477mula_a @ X14 @ (clique5987991184601036204th_A_a @ v))=>(ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ X14)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ X14) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat))))))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_199_card__deviate__Pos)).
2.22/2.43	thf(fact_251_ab__semigroup__mult__class_Omult__ac_I1_J, axiom, ![X209:nat, X210:nat, X211:nat]:(((times_times_nat @ (times_times_nat @ X209 @ X210) @ X211)=(times_times_nat @ X209 @ (times_times_nat @ X210 @ X211)))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_251_ab__semigroup__mult__class_Omult__ac_I1_J)).
2.22/2.43	thf(fact_257_mult_Oleft__commute, axiom, ![X225:nat, X226:nat, X227:nat]:(((times_times_nat @ X225 @ (times_times_nat @ X226 @ X227))=(times_times_nat @ X226 @ (times_times_nat @ X225 @ X227)))), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_257_mult_Oleft__commute)).
2.22/2.43	thf(fact_0_phi_I1_J, axiom, (member535913909593306477mula_a @ phi @ monoto4877036962378694605mula_a), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_0_phi_I1_J)).
2.22/2.43	thf(fact_203_phi_I2_J, axiom, (member535913909593306477mula_a @ phi @ (clique5987991184601036204th_A_a @ v)), file('/export/starexec/sandbox2/tmp/tmp.2hGHeRLMjp/Vampire---4.8_4462', fact_203_phi_I2_J)).
2.22/2.43	thf(c_0_10, plain, ((binomial @ (assump1710595444109740334irst_m @ k) @ k)=(finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi))), inference(split_conjunct,[status(thm)],[fact_9_calculation])).
2.22/2.43	thf(c_0_11, plain, ((assump1710595444109740334irst_m @ k)=(power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_3_m__def])).
2.22/2.43	thf(c_0_12, negated_conjecture, ~(ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ phi) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
2.22/2.43	thf(c_0_13, plain, ((finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi))=(binomial @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ k)), inference(rw,[status(thm)],[c_0_10, c_0_11])).
2.22/2.43	thf(c_0_14, plain, ((clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi)=(clique3326749438856946062irst_K @ k)), inference(split_conjunct,[status(thm)],[fact_14_local_Oid])).
2.22/2.43	thf(c_0_15, plain, ![X4547:nat, X4548:nat]:(((times_times_nat @ X4547 @ X4548)=(times_times_nat @ X4548 @ X4547))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_255_mult_Ocommute])])).
2.22/2.43	thf(c_0_16, negated_conjecture, ~((ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ phi)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ phi) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat))))), inference(split_conjunct,[status(thm)],[c_0_12])).
2.22/2.43	thf(c_0_17, plain, ((finite1149291290879098388et_nat @ (clique3326749438856946062irst_K @ k))=(binomial @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ k)), inference(rw,[status(thm)],[c_0_13, c_0_14])).
2.22/2.43	thf(c_0_18, plain, ![X5028:nat, X5029:nat]:(((times_times_nat @ X5028 @ X5029)=(times_times_nat @ X5029 @ X5028))), inference(variable_rename,[status(thm)],[c_0_15])).
2.22/2.43	thf(c_0_19, plain, ![X4908:monotone_mformula_a]:((~(member535913909593306477mula_a @ X4908 @ monoto4877036962378694605mula_a)|(~(member535913909593306477mula_a @ X4908 @ (clique5987991184601036204th_A_a @ v))|(ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ X4908)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ X4908) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_199_card__deviate__Pos])])).
2.22/2.43	thf(c_0_20, plain, ![X5016:nat, X5017:nat, X5018:nat]:(((times_times_nat @ (times_times_nat @ X5016 @ X5017) @ X5018)=(times_times_nat @ X5016 @ (times_times_nat @ X5017 @ X5018)))), inference(variable_rename,[status(thm)],[fact_251_ab__semigroup__mult__class_Omult__ac_I1_J])).
2.22/2.43	thf(c_0_21, negated_conjecture, ~((ord_less_eq_nat @ (binomial @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ k) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ phi) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_14]), c_0_17]), c_0_11])).
2.22/2.43	thf(c_0_22, plain, ![X16:nat, X15:nat]:(((times_times_nat @ X15 @ X16)=(times_times_nat @ X16 @ X15))), inference(split_conjunct,[status(thm)],[c_0_18])).
2.22/2.43	thf(c_0_23, plain, ![X5032:nat, X5033:nat, X5034:nat]:(((times_times_nat @ X5032 @ (times_times_nat @ X5033 @ X5034))=(times_times_nat @ X5033 @ (times_times_nat @ X5032 @ X5034)))), inference(variable_rename,[status(thm)],[fact_257_mult_Oleft__commute])).
2.22/2.43	thf(c_0_24, plain, ![X14:monotone_mformula_a]:(((ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ X14)) @ (times_times_nat @ (times_times_nat @ (monotone_cs_a @ X14) @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (assump1710595444109740334irst_m @ k) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat))))|~((member535913909593306477mula_a @ X14 @ monoto4877036962378694605mula_a))|~((member535913909593306477mula_a @ X14 @ (clique5987991184601036204th_A_a @ v))))), inference(split_conjunct,[status(thm)],[c_0_19])).
2.22/2.43	thf(c_0_25, plain, ![X15:nat, X16:nat, X17:nat]:(((times_times_nat @ (times_times_nat @ X15 @ X16) @ X17)=(times_times_nat @ X15 @ (times_times_nat @ X16 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_20])).
2.22/2.43	thf(c_0_26, negated_conjecture, ~((ord_less_eq_nat @ (binomial @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ k) @ (times_times_nat @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat)) @ (times_times_nat @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one))) @ (monotone_cs_a @ phi))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_22])).
2.22/2.43	thf(c_0_27, plain, ![X15:nat, X16:nat, X17:nat]:(((times_times_nat @ X15 @ (times_times_nat @ X16 @ X17))=(times_times_nat @ X16 @ (times_times_nat @ X15 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_23])).
2.22/2.43	thf(c_0_28, plain, ![X14:monotone_mformula_a]:(((ord_less_eq_nat @ (finite1149291290879098388et_nat @ (clique3934260045859375359_pos_a @ l @ p @ k @ pi @ X14)) @ (times_times_nat @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one))) @ (times_times_nat @ (monotone_cs_a @ X14) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat)))))|~((member535913909593306477mula_a @ X14 @ (clique5987991184601036204th_A_a @ v)))|~((member535913909593306477mula_a @ X14 @ monoto4877036962378694605mula_a)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_22]), c_0_11]), c_0_25])).
2.22/2.43	thf(c_0_29, plain, (member535913909593306477mula_a @ phi @ monoto4877036962378694605mula_a), inference(split_conjunct,[status(thm)],[fact_0_phi_I1_J])).
2.22/2.43	thf(c_0_30, plain, (member535913909593306477mula_a @ phi @ (clique5987991184601036204th_A_a @ v)), inference(split_conjunct,[status(thm)],[fact_203_phi_I2_J])).
2.22/2.43	thf(c_0_31, negated_conjecture, ~((ord_less_eq_nat @ (binomial @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ k) @ (times_times_nat @ (power_power_nat @ (assump1710595444109740301irst_L @ l @ p) @ (numeral_numeral_nat @ (bit0 @ one))) @ (times_times_nat @ (monotone_cs_a @ phi) @ (binomial @ (minus_minus_nat @ (minus_minus_nat @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))) @ l) @ one_one_nat) @ (minus_minus_nat @ (minus_minus_nat @ k @ l) @ one_one_nat)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27]), c_0_22])).
2.22/2.43	thf(c_0_32, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_14]), c_0_17]), c_0_30])]), c_0_31]), ['proof']).
2.22/2.43	# SZS output end CNFRefutation
2.22/2.43	# Parsed axioms                        : 1528
2.22/2.43	# Removed by relevancy pruning/SinE    : 0
2.22/2.43	# Initial clauses                      : 2215
2.22/2.43	# Removed in clause preprocessing      : 307
2.22/2.43	# Initial clauses in saturation        : 1908
2.22/2.43	# Processed clauses                    : 7695
2.22/2.43	# ...of these trivial                  : 253
2.22/2.43	# ...subsumed                          : 2923
2.22/2.43	# ...remaining for further processing  : 4519
2.22/2.43	# Other redundant clauses eliminated   : 451
2.22/2.43	# Clauses deleted for lack of memory   : 0
2.22/2.43	# Backward-subsumed                    : 45
2.22/2.43	# Backward-rewritten                   : 189
2.22/2.43	# Generated clauses                    : 42792
2.22/2.43	# ...of the previous two non-redundant : 37284
2.22/2.43	# ...aggressively subsumed             : 0
2.22/2.43	# Contextual simplify-reflections      : 1
2.22/2.43	# Paramodulations                      : 41780
2.22/2.43	# Factorizations                       : 16
2.22/2.43	# NegExts                              : 29
2.22/2.43	# Equation resolutions                 : 473
2.22/2.43	# Propositional unsat checks           : 0
2.22/2.43	#    Propositional check models        : 0
2.22/2.43	#    Propositional check unsatisfiable : 0
2.22/2.43	#    Propositional clauses             : 0
2.22/2.43	#    Propositional clauses after purity: 0
2.22/2.43	#    Propositional unsat core size     : 0
2.22/2.43	#    Propositional preprocessing time  : 0.000
2.22/2.43	#    Propositional encoding time       : 0.000
2.22/2.43	#    Propositional solver time         : 0.000
2.22/2.43	#    Success case prop preproc time    : 0.000
2.22/2.43	#    Success case prop encoding time   : 0.000
2.22/2.43	#    Success case prop solver time     : 0.000
2.22/2.43	# Current number of processed clauses  : 2659
2.22/2.43	#    Positive orientable unit clauses  : 1174
2.22/2.43	#    Positive unorientable unit clauses: 13
2.22/2.43	#    Negative unit clauses             : 383
2.22/2.43	#    Non-unit-clauses                  : 1089
2.22/2.43	# Current number of unprocessed clauses: 32480
2.22/2.43	# ...number of literals in the above   : 50391
2.22/2.43	# Current number of archived formulas  : 0
2.22/2.43	# Current number of archived clauses   : 1609
2.22/2.43	# Clause-clause subsumption calls (NU) : 538083
2.22/2.43	# Rec. Clause-clause subsumption calls : 377252
2.22/2.43	# Non-unit clause-clause subsumptions  : 1100
2.22/2.43	# Unit Clause-clause subsumption calls : 71568
2.22/2.43	# Rewrite failures with RHS unbound    : 3
2.22/2.43	# BW rewrite match attempts            : 1015
2.22/2.43	# BW rewrite match successes           : 265
2.22/2.43	# Condensation attempts                : 0
2.22/2.43	# Condensation successes               : 0
2.22/2.43	# Termbank termtop insertions          : 987043
2.22/2.43	
2.22/2.43	# -------------------------------------------------
2.22/2.43	# User time                : 1.701 s
2.22/2.43	# System time              : 0.062 s
2.22/2.43	# Total time               : 1.763 s
2.22/2.43	# Maximum resident set size: 11452 pages
2.22/2.43	
2.22/2.43	# -------------------------------------------------
2.22/2.43	# User time                : 1.747 s
2.22/2.43	# System time              : 0.068 s
2.22/2.43	# Total time               : 1.814 s
2.22/2.43	# Maximum resident set size: 4248 pages
2.22/2.43	EOF