0.12/0.25 % Problem : SLH0370^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.26 % Command : run_E %s %d THM 0.26/0.47 % Computer : n008.cluster.edu 0.26/0.47 % Model : x86_64 x86_64 0.26/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.26/0.47 % Memory : 8042.1875MB 0.26/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.26/0.47 % CPULimit : 30 0.26/0.47 % WCLimit : 30 0.26/0.47 % DateTime : Mon Jul 3 08:55:34 EDT 2023 0.26/0.47 % CPUTime : 0.45/0.60 The problem SPC is TH0_THM_EQU_NAR 0.45/0.61 Running higher-order on 1 cores theorem proving 0.45/0.61 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.925qEdhOJZ/Vampire---4.8_4417 0.45/0.61 # Version: 3.0pre003-ho 3.27/3.53 # Preprocessing class: HMLMSMSMSSLNHSA. 3.27/3.53 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.27/3.53 # Starting sh2lt with 30s (1) cores 3.27/3.53 # sh2lt with pid 4598 completed with status 0 3.27/3.53 # Result found by sh2lt 3.27/3.53 # Preprocessing class: HMLMSMSMSSLNHSA. 3.27/3.53 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.27/3.53 # Starting sh2lt with 30s (1) cores 3.27/3.53 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 3.27/3.53 # ...ProofStateSinE()=1004/1170 3.27/3.53 # Search class: HGHSM-SSLM32-DHSFFSBN 3.27/3.53 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 3.27/3.53 # Starting new_bool_8 with 12s (1) cores 3.27/3.53 # new_bool_8 with pid 4599 completed with status 0 3.27/3.53 # Result found by new_bool_8 3.27/3.53 # Preprocessing class: HMLMSMSMSSLNHSA. 3.27/3.53 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.27/3.53 # Starting sh2lt with 30s (1) cores 3.27/3.53 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 3.27/3.53 # ...ProofStateSinE()=1004/1170 3.27/3.53 # Search class: HGHSM-SSLM32-DHSFFSBN 3.27/3.53 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 3.27/3.53 # Starting new_bool_8 with 12s (1) cores 3.27/3.53 # Preprocessing time : 0.029 s 3.27/3.53 # Presaturation interreduction done 3.27/3.53 3.27/3.53 # Proof found! 3.27/3.53 # SZS status Theorem 3.27/3.53 # SZS output start CNFRefutation 3.27/3.53 thf(decl_22, type, bochne2596016609597520987t_real: sigma_5515648953823433982at_nat > (product_prod_nat_nat > real) > $o). 3.27/3.53 thf(decl_23, type, bochne6384019433803981034t_real: sigma_5515648953823433982at_nat > (product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_24, type, finite_card_nat: set_nat > nat). 3.27/3.53 thf(decl_25, type, finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat). 3.27/3.53 thf(decl_26, type, finite_card_real: set_real > nat). 3.27/3.53 thf(decl_27, type, div_twopow: int > nat > int). 3.27/3.53 thf(decl_28, type, frequency_Moment_M_1: list_nat > set_Pr1261947904930325089at_nat). 3.27/3.53 thf(decl_29, type, freque5010624893710627907mega_1: list_nat > sigma_5515648953823433982at_nat). 3.27/3.53 thf(decl_30, type, freque7760203275552969084d_enat: nat > list_nat > product_prod_nat_nat > extended_enat). 3.27/3.53 thf(decl_31, type, freque8423578060899256726at_int: nat > list_nat > product_prod_nat_nat > int). 3.27/3.53 thf(decl_32, type, freque8426068531408307002at_nat: nat > list_nat > product_prod_nat_nat > nat). 3.27/3.53 thf(decl_33, type, freque135395702774845718t_real: nat > list_nat > product_prod_nat_nat > real). 3.27/3.53 thf(decl_34, type, frequency_F_nat: nat > list_nat > rat). 3.27/3.53 thf(decl_35, type, minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat). 3.27/3.53 thf(decl_36, type, minus_minus_int: int > int > int). 3.27/3.53 thf(decl_37, type, minus_minus_nat: nat > nat > nat). 3.27/3.53 thf(decl_38, type, minus_838314146864362899l_num1: numera2417102609627094330l_num1 > numera2417102609627094330l_num1 > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_39, type, minus_4365393887724441320at_nat: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_40, type, minus_minus_rat: rat > rat > rat). 3.27/3.53 thf(decl_41, type, minus_minus_real: real > real > real). 3.27/3.53 thf(decl_42, type, one_on7984719198319812577d_enat: extended_enat). 3.27/3.53 thf(decl_43, type, one_one_int: int). 3.27/3.53 thf(decl_44, type, one_one_nat: nat). 3.27/3.53 thf(decl_45, type, one_on3868389512446148991l_num1: numera2417102609627094330l_num1). 3.27/3.53 thf(decl_46, type, one_one_rat: rat). 3.27/3.53 thf(decl_47, type, one_one_real: real). 3.27/3.53 thf(decl_48, type, times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat). 3.27/3.53 thf(decl_49, type, times_times_int: int > int > int). 3.27/3.53 thf(decl_50, type, times_times_nat: nat > nat > nat). 3.27/3.53 thf(decl_51, type, times_times_num: num > num > num). 3.27/3.53 thf(decl_52, type, times_8498157372700349887l_num1: numera2417102609627094330l_num1 > numera2417102609627094330l_num1 > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_53, type, times_times_rat: rat > rat > rat). 3.27/3.53 thf(decl_54, type, times_times_real: real > real > real). 3.27/3.53 thf(decl_55, type, zero_z5237406670263579293d_enat: extended_enat). 3.27/3.53 thf(decl_56, type, zero_zero_int: int). 3.27/3.53 thf(decl_57, type, zero_zero_nat: nat). 3.27/3.53 thf(decl_58, type, zero_z5982384998485459395l_num1: numera2417102609627094330l_num1). 3.27/3.53 thf(decl_59, type, zero_z3979849011205770936at_nat: product_prod_nat_nat). 3.27/3.53 thf(decl_60, type, zero_zero_rat: rat). 3.27/3.53 thf(decl_61, type, zero_zero_real: real). 3.27/3.53 thf(decl_62, type, groups7108830773950497114d_enat: (nat > extended_enat) > set_nat > extended_enat). 3.27/3.53 thf(decl_63, type, groups3539618377306564664at_int: (nat > int) > set_nat > int). 3.27/3.53 thf(decl_64, type, groups3542108847815614940at_nat: (nat > nat) > set_nat > nat). 3.27/3.53 thf(decl_65, type, groups6591440286371151544t_real: (nat > real) > set_nat > real). 3.27/3.53 thf(decl_66, type, groups5777063318550204639d_enat: (product_prod_nat_nat > extended_enat) > set_Pr1261947904930325089at_nat > extended_enat). 3.27/3.53 thf(decl_67, type, groups975429370522433651at_int: (product_prod_nat_nat > int) > set_Pr1261947904930325089at_nat > int). 3.27/3.53 thf(decl_68, type, groups977919841031483927at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > nat). 3.27/3.53 thf(decl_69, type, groups342789780944988191at_rat: (product_prod_nat_nat > rat) > set_Pr1261947904930325089at_nat > rat). 3.27/3.53 thf(decl_70, type, groups4567486121110086003t_real: (product_prod_nat_nat > real) > set_Pr1261947904930325089at_nat > real). 3.27/3.53 thf(decl_71, type, groups2800946370649118462d_enat: (real > extended_enat) > set_real > extended_enat). 3.27/3.53 thf(decl_72, type, groups1932886352136224148al_int: (real > int) > set_real > int). 3.27/3.53 thf(decl_73, type, groups1935376822645274424al_nat: (real > nat) > set_real > nat). 3.27/3.53 thf(decl_74, type, groups8097168146408367636l_real: (real > real) > set_real > real). 3.27/3.53 thf(decl_75, type, if_nat: $o > nat > nat > nat). 3.27/3.53 thf(decl_76, type, nil_nat: list_nat). 3.27/3.53 thf(decl_77, type, suc: nat > nat). 3.27/3.53 thf(decl_78, type, semiri4216267220026989637d_enat: nat > extended_enat). 3.27/3.53 thf(decl_79, type, semiri1314217659103216013at_int: nat > int). 3.27/3.53 thf(decl_80, type, semiri1316708129612266289at_nat: nat > nat). 3.27/3.53 thf(decl_81, type, semiri1795386414920522267l_num1: nat > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_82, type, semiri681578069525770553at_rat: nat > rat). 3.27/3.53 thf(decl_83, type, semiri5074537144036343181t_real: nat > real). 3.27/3.53 thf(decl_84, type, size_size_list_nat: list_nat > nat). 3.27/3.53 thf(decl_85, type, size_size_num: num > nat). 3.27/3.53 thf(decl_86, type, bit0: num > num). 3.27/3.53 thf(decl_87, type, one: num). 3.27/3.53 thf(decl_88, type, numera1916890842035813515d_enat: num > extended_enat). 3.27/3.53 thf(decl_89, type, numeral_numeral_int: num > int). 3.27/3.53 thf(decl_90, type, numeral_numeral_nat: num > nat). 3.27/3.53 thf(decl_91, type, numera2161328050825114965l_num1: num > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_92, type, numeral_numeral_rat: num > rat). 3.27/3.53 thf(decl_93, type, numeral_numeral_real: num > real). 3.27/3.53 thf(decl_94, type, bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat). 3.27/3.53 thf(decl_95, type, ord_less_nat: nat > nat > $o). 3.27/3.53 thf(decl_96, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o). 3.27/3.53 thf(decl_97, type, ord_less_eq_int: int > int > $o). 3.27/3.53 thf(decl_98, type, ord_less_eq_nat: nat > nat > $o). 3.27/3.53 thf(decl_99, type, ord_less_eq_num: num > num > $o). 3.27/3.53 thf(decl_100, type, ord_less_eq_rat: rat > rat > $o). 3.27/3.53 thf(decl_101, type, ord_less_eq_real: real > real > $o). 3.27/3.53 thf(decl_102, type, power_8040749407984259932d_enat: extended_enat > nat > extended_enat). 3.27/3.53 thf(decl_103, type, power_power_int: int > nat > int). 3.27/3.53 thf(decl_104, type, power_power_nat: nat > nat > nat). 3.27/3.53 thf(decl_105, type, power_7402600760894073284l_num1: numera2417102609627094330l_num1 > nat > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_106, type, power_power_rat: rat > nat > rat). 3.27/3.53 thf(decl_107, type, power_power_real: real > nat > real). 3.27/3.53 thf(decl_108, type, probab7722952755062086631t_real: sigma_5515648953823433982at_nat > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_109, type, probab7541796623121487107_pmf_o: probab1498759712122475378_pmf_o > $o > real). 3.27/3.53 thf(decl_110, type, probab6340220560829807468at_nat: probab8034288487457972571at_nat > product_prod_nat_nat > real). 3.27/3.53 thf(decl_111, type, probab508924422549804617at_nat: set_Pr1261947904930325089at_nat > probab8034288487457972571at_nat). 3.27/3.53 thf(decl_112, type, product_snd_nat_nat: product_prod_nat_nat > nat). 3.27/3.53 thf(decl_113, type, field_7254667332652039916t_real: rat > real). 3.27/3.53 thf(decl_114, type, divide_divide_int: int > int > int). 3.27/3.53 thf(decl_115, type, divide_divide_nat: nat > nat > nat). 3.27/3.53 thf(decl_116, type, divide_divide_rat: rat > rat > rat). 3.27/3.53 thf(decl_117, type, divide_divide_real: real > real > real). 3.27/3.53 thf(decl_118, type, collect_nat: (nat > $o) > set_nat). 3.27/3.53 thf(decl_119, type, collect_real: (real > $o) > set_real). 3.27/3.53 thf(decl_120, type, powr_real: real > real > real). 3.27/3.53 thf(decl_121, type, member_nat: nat > set_nat > $o). 3.27/3.53 thf(decl_122, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 3.27/3.53 thf(decl_123, type, member_real: real > set_real > $o). 3.27/3.53 thf(decl_124, type, as: list_nat). 3.27/3.53 thf(decl_125, type, k: nat). 3.27/3.53 thf(decl_126, type, n: nat). 3.27/3.53 thf(decl_127, type, esk1_2: set_real > real > real). 3.27/3.53 thf(decl_128, type, esk2_1: set_real > real). 3.27/3.53 thf(decl_129, type, esk3_2: set_real > real > real). 3.27/3.53 thf(decl_130, type, esk4_1: (nat > real) > nat). 3.27/3.53 thf(decl_131, type, esk5_1: (nat > real) > nat). 3.27/3.53 thf(decl_132, type, esk6_3: set_real > (product_prod_nat_nat > real) > (real > product_prod_nat_nat) > real). 3.27/3.53 thf(decl_133, type, esk7_4: set_real > (product_prod_nat_nat > real) > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > real). 3.27/3.53 thf(decl_134, type, esk8_4: set_real > (product_prod_nat_nat > real) > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_135, type, esk9_4: set_real > (product_prod_nat_nat > real) > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_136, type, esk10_6: set_real > (product_prod_nat_nat > real) > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (real > real) > real). 3.27/3.53 thf(decl_137, type, esk11_3: set_Pr1261947904930325089at_nat > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_138, type, esk12_4: set_Pr1261947904930325089at_nat > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > set_real > product_prod_nat_nat). 3.27/3.53 thf(decl_139, type, esk13_4: set_Pr1261947904930325089at_nat > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > set_real > real). 3.27/3.53 thf(decl_140, type, esk14_4: set_Pr1261947904930325089at_nat > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > set_real > real). 3.27/3.53 thf(decl_141, type, esk15_6: set_Pr1261947904930325089at_nat > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > set_real > (real > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_142, type, esk16_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_143, type, esk17_4: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_144, type, esk18_4: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_145, type, esk19_4: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_146, type, esk20_6: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_147, type, esk21_4: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > set_real > (real > product_prod_nat_nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_148, type, esk22_6: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > set_real > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > (real > real) > real). 3.27/3.53 thf(decl_149, type, esk23_4: set_real > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_150, type, esk24_6: set_real > (real > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (real > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_151, type, esk25_4: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_152, type, esk26_6: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_153, type, esk27_3: set_Pr1261947904930325089at_nat > set_real > (real > product_prod_nat_nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_154, type, esk28_4: set_Pr1261947904930325089at_nat > set_real > (real > product_prod_nat_nat) > real > real). 3.27/3.53 thf(decl_155, type, esk29_5: set_Pr1261947904930325089at_nat > set_real > (real > product_prod_nat_nat) > (product_prod_nat_nat > real) > (real > real) > real). 3.27/3.53 thf(decl_156, type, esk30_3: set_real > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_157, type, esk31_4: set_real > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > product_prod_nat_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_158, type, esk32_5: set_real > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (real > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_159, type, esk33_3: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_160, type, esk34_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_161, type, esk35_5: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_162, type, esk36_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_163, type, esk37_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_164, type, esk38_3: set_Pr1261947904930325089at_nat > sigma_5515648953823433982at_nat > (product_prod_nat_nat > product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_165, type, esk39_2: (product_prod_nat_nat > real) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 3.27/3.53 thf(decl_166, type, esk40_2: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_167, type, esk41_3: set_Pr1261947904930325089at_nat > sigma_5515648953823433982at_nat > (product_prod_nat_nat > product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_168, type, esk42_2: (nat > $o) > nat > nat). 3.27/3.53 thf(decl_169, type, esk43_2: nat > nat > nat). 3.27/3.53 thf(decl_170, type, esk44_1: (nat > $o) > nat). 3.27/3.53 thf(decl_171, type, esk45_3: nat > nat > (nat > $o) > nat). 3.27/3.53 thf(decl_172, type, esk46_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_173, type, esk47_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_174, type, esk48_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_175, type, esk49_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_176, type, esk50_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_177, type, esk51_1: (nat > nat) > nat). 3.27/3.53 thf(decl_178, type, esk52_1: (nat > int) > nat). 3.27/3.53 thf(decl_179, type, esk53_1: (nat > extended_enat) > nat). 3.27/3.53 thf(decl_180, type, esk54_1: (nat > nat) > nat). 3.27/3.53 thf(decl_181, type, esk55_1: (nat > int) > nat). 3.27/3.53 thf(decl_182, type, esk56_1: (nat > extended_enat) > nat). 3.27/3.53 thf(decl_183, type, esk57_1: nat > nat). 3.27/3.53 thf(decl_184, type, esk58_1: (nat > $o) > nat). 3.27/3.53 thf(decl_185, type, esk59_1: (nat > nat > $o) > nat). 3.27/3.53 thf(decl_186, type, esk60_1: (nat > nat > $o) > nat). 3.27/3.53 thf(decl_187, type, esk61_1: (nat > nat > $o) > nat). 3.27/3.53 thf(decl_188, type, esk62_1: (nat > nat > $o) > nat). 3.27/3.53 thf(decl_189, type, esk63_1: (nat > $o) > nat). 3.27/3.53 thf(decl_190, type, esk64_1: nat > nat). 3.27/3.53 thf(decl_191, type, esk65_3: nat > nat > (nat > $o) > nat). 3.27/3.53 thf(decl_192, type, esk66_3: nat > nat > (nat > $o) > nat). 3.27/3.53 thf(decl_193, type, esk67_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_194, type, esk68_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_195, type, esk69_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_196, type, esk70_3: nat > nat > (nat > nat > $o) > nat). 3.27/3.53 thf(decl_197, type, esk71_2: nat > nat > nat). 3.27/3.53 thf(decl_198, type, esk72_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_199, type, esk73_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_200, type, esk74_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_201, type, esk75_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_202, type, esk76_2: nat > nat > nat). 3.27/3.53 thf(decl_203, type, esk77_2: nat > nat > nat). 3.27/3.53 thf(decl_204, type, esk78_2: nat > nat > nat). 3.27/3.53 thf(decl_205, type, esk79_1: nat > nat). 3.27/3.53 thf(decl_206, type, esk80_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_207, type, esk81_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_208, type, esk82_1: nat > nat). 3.27/3.53 thf(decl_209, type, esk83_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_210, type, esk84_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_211, type, esk85_3: nat > nat > (nat > $o) > nat). 3.27/3.53 thf(decl_212, type, esk86_3: nat > nat > (nat > $o) > nat). 3.27/3.53 thf(decl_213, type, esk87_2: (nat > $o) > nat > nat). 3.27/3.53 thf(decl_214, type, esk88_2: nat > (nat > $o) > nat). 3.27/3.53 thf(decl_215, type, esk89_2: (nat > $o) > nat > nat). 3.27/3.53 thf(decl_216, type, esk90_1: (nat > $o) > nat). 3.27/3.53 thf(decl_217, type, esk91_1: (nat > nat) > nat). 3.27/3.53 thf(decl_218, type, esk92_1: (nat > nat) > nat). 3.27/3.53 thf(decl_219, type, esk93_2: (nat > $o) > nat > nat). 3.27/3.53 thf(decl_220, type, esk94_3: set_real > real > (real > real) > real). 3.27/3.53 thf(decl_221, type, esk95_3: set_real > (real > real) > real > real). 3.27/3.53 thf(decl_222, type, esk96_3: set_real > (real > real) > (real > real) > real). 3.27/3.53 thf(decl_223, type, esk97_3: set_real > sigma_5515648953823433982at_nat > (real > product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_224, type, esk98_2: (real > real) > set_real > real). 3.27/3.53 thf(decl_225, type, esk99_3: set_real > sigma_5515648953823433982at_nat > (real > product_prod_nat_nat > real) > real). 3.27/3.53 thf(decl_226, type, esk100_1: (nat > $o) > nat). 3.27/3.53 thf(decl_227, type, esk101_1: (nat > $o) > nat). 3.27/3.53 thf(decl_228, type, esk102_1: (nat > $o) > nat). 3.27/3.53 thf(decl_229, type, esk103_3: set_Pr1261947904930325089at_nat > nat > (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_230, type, esk104_3: set_Pr1261947904930325089at_nat > int > (product_prod_nat_nat > int) > product_prod_nat_nat). 3.27/3.53 thf(decl_231, type, esk105_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > nat) > nat > product_prod_nat_nat). 3.27/3.53 thf(decl_232, type, esk106_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > int) > int > product_prod_nat_nat). 3.27/3.53 thf(decl_233, type, esk107_1: (nat > num) > nat). 3.27/3.53 thf(decl_234, type, esk108_1: (nat > num) > nat). 3.27/3.53 thf(decl_235, type, esk109_3: int > int > (int > $o) > int). 3.27/3.53 thf(decl_236, type, esk110_1: int > nat). 3.27/3.53 thf(decl_237, type, esk111_1: int > nat). 3.27/3.53 thf(decl_238, type, esk112_1: int > nat). 3.27/3.53 thf(decl_239, type, esk113_1: int > nat). 3.27/3.53 thf(decl_240, type, esk114_3: set_real > nat > (real > nat) > real). 3.27/3.53 thf(decl_241, type, esk115_3: set_real > int > (real > int) > real). 3.27/3.53 thf(decl_242, type, esk116_3: set_real > extended_enat > (real > extended_enat) > real). 3.27/3.53 thf(decl_243, type, esk117_3: set_real > (real > nat) > nat > real). 3.27/3.53 thf(decl_244, type, esk118_3: set_real > (real > int) > int > real). 3.27/3.53 thf(decl_245, type, esk119_3: set_real > (real > extended_enat) > extended_enat > real). 3.27/3.53 thf(decl_246, type, esk120_1: (numera2417102609627094330l_num1 > $o) > numera2417102609627094330l_num1). 3.27/3.53 thf(decl_247, type, esk121_3: set_real > (real > nat) > (real > nat) > real). 3.27/3.53 thf(decl_248, type, esk122_3: set_real > (real > nat) > (real > nat) > real). 3.27/3.53 thf(decl_249, type, esk123_2: (real > nat) > set_real > real). 3.27/3.53 thf(decl_250, type, esk124_3: set_real > (real > int) > (real > int) > real). 3.27/3.53 thf(decl_251, type, esk125_2: (real > int) > set_real > real). 3.27/3.53 thf(decl_252, type, esk126_2: set_real > (real > int) > real). 3.27/3.53 thf(decl_253, type, esk127_3: set_real > (real > extended_enat) > (real > extended_enat) > real). 3.27/3.53 thf(decl_254, type, esk128_2: (real > extended_enat) > set_real > real). 3.27/3.53 thf(decl_255, type, esk129_0: product_prod_nat_nat > real). 3.27/3.53 thf(decl_256, type, esk130_2: (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_257, type, esk131_1: (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_258, type, esk132_2: real > (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_259, type, esk133_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat > real). 3.27/3.53 thf(decl_260, type, esk134_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_261, type, esk135_2: (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_262, type, esk136_1: (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_263, type, esk137_2: real > (product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_264, type, esk138_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat > real). 3.27/3.53 thf(decl_265, type, esk139_1: real > product_prod_nat_nat > real). 3.27/3.53 thf(decl_266, type, esk140_0: product_prod_nat_nat > real). 3.27/3.53 thf(decl_267, type, esk141_2: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_268, type, esk142_1: (product_prod_nat_nat > product_prod_nat_nat > real) > product_prod_nat_nat > product_prod_nat_nat > real). 3.27/3.53 thf(decl_269, type, esk143_2: (product_prod_nat_nat > product_prod_nat_nat > real) > sigma_5515648953823433982at_nat > product_prod_nat_nat > real). 3.27/3.53 thf(decl_270, type, esk144_0: product_prod_nat_nat > real). 3.27/3.53 thf(decl_271, type, esk145_1: (real > product_prod_nat_nat > real) > product_prod_nat_nat > real > real). 3.27/3.53 thf(decl_272, type, esk146_2: set_real > (real > product_prod_nat_nat > real) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_273, type, esk147_2: (real > product_prod_nat_nat > real) > sigma_5515648953823433982at_nat > real > real). 3.27/3.53 thf(decl_274, type, esk148_1: int > product_prod_nat_nat > int). 3.27/3.53 thf(decl_275, type, esk149_1: nat > product_prod_nat_nat > nat). 3.27/3.53 thf(decl_276, type, epred1_1: nat > real > $o). 3.27/3.53 thf(decl_277, type, esk150_1: (product_prod_nat_nat > nat) > product_prod_nat_nat > real). 3.27/3.53 thf(decl_278, type, esk151_1: extended_enat > product_prod_nat_nat > extended_enat). 3.27/3.53 thf(decl_279, type, esk152_2: (real > nat) > (real > nat) > real > nat). 3.27/3.53 thf(decl_280, type, epred2_1: set_real > real > $o). 3.27/3.53 thf(decl_281, type, esk153_1: real > rat). 3.27/3.53 thf(decl_282, type, esk154_1: num > num). 3.27/3.53 thf(decl_283, type, esk155_1: nat > num). 3.27/3.53 thf(decl_284, type, esk156_1: real > nat). 3.27/3.53 thf(decl_285, type, esk157_1: extended_enat > num). 3.27/3.53 thf(decl_286, type, esk158_1: int > num). 3.27/3.53 thf(decl_287, type, esk159_1: real > num). 3.27/3.53 thf(decl_288, type, esk160_1: nat > nat). 3.27/3.53 thf(decl_289, type, esk161_1: extended_enat > nat). 3.27/3.53 thf(decl_290, type, esk162_1: int > nat). 3.27/3.53 thf(decl_291, type, esk163_1: nat > nat). 3.27/3.53 thf(decl_292, type, esk164_0: product_prod_nat_nat). 3.27/3.53 thf(decl_293, type, esk165_0: product_prod_nat_nat). 3.27/3.53 thf(decl_294, type, esk166_0: product_prod_nat_nat). 3.27/3.53 thf(decl_295, type, esk167_0: product_prod_nat_nat). 3.27/3.53 thf(decl_296, type, esk168_0: product_prod_nat_nat). 3.27/3.53 thf(decl_297, type, esk169_0: product_prod_nat_nat). 3.27/3.53 thf(decl_298, type, esk170_0: product_prod_nat_nat). 3.27/3.53 thf(decl_299, type, esk171_0: product_prod_nat_nat). 3.27/3.53 thf(decl_300, type, esk172_0: product_prod_nat_nat). 3.27/3.53 thf(decl_301, type, esk173_0: product_prod_nat_nat). 3.27/3.53 thf(decl_302, type, esk174_0: product_prod_nat_nat). 3.27/3.53 thf(decl_303, type, esk175_0: product_prod_nat_nat). 3.27/3.53 thf(decl_304, type, esk176_0: product_prod_nat_nat). 3.27/3.53 thf(decl_305, type, esk177_0: product_prod_nat_nat). 3.27/3.53 thf(decl_306, type, esk178_0: product_prod_nat_nat). 3.27/3.53 thf(decl_307, type, esk179_0: product_prod_nat_nat). 3.27/3.53 thf(decl_308, type, esk180_0: product_prod_nat_nat). 3.27/3.53 thf(decl_309, type, esk181_0: product_prod_nat_nat). 3.27/3.53 thf(decl_310, type, esk182_0: product_prod_nat_nat). 3.27/3.53 thf(decl_311, type, esk183_0: product_prod_nat_nat). 3.27/3.53 thf(decl_312, type, esk184_0: product_prod_nat_nat). 3.27/3.53 thf(decl_313, type, esk185_0: product_prod_nat_nat). 3.27/3.53 thf(decl_314, type, esk186_0: product_prod_nat_nat). 3.27/3.53 thf(decl_315, type, esk187_1: (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.53 thf(decl_316, type, esk188_0: product_prod_nat_nat). 3.27/3.53 thf(decl_317, type, esk189_0: product_prod_nat_nat). 3.27/3.53 thf(decl_318, type, esk190_0: product_prod_nat_nat). 3.27/3.53 thf(decl_319, type, esk191_0: product_prod_nat_nat). 3.27/3.53 thf(decl_320, type, esk192_0: product_prod_nat_nat). 3.27/3.53 thf(decl_321, type, esk193_0: product_prod_nat_nat). 3.27/3.53 thf(decl_322, type, esk194_0: product_prod_nat_nat). 3.27/3.53 thf(decl_323, type, esk195_0: product_prod_nat_nat). 3.27/3.53 thf(decl_324, type, esk196_0: product_prod_nat_nat). 3.27/3.53 thf(decl_325, type, esk197_0: product_prod_nat_nat). 3.27/3.53 thf(decl_326, type, esk198_0: product_prod_nat_nat). 3.27/3.53 thf(decl_327, type, esk199_0: product_prod_nat_nat). 3.27/3.53 thf(decl_328, type, esk200_0: product_prod_nat_nat). 3.27/3.53 thf(decl_329, type, esk201_0: product_prod_nat_nat). 3.27/3.53 thf(decl_330, type, esk202_0: product_prod_nat_nat). 3.27/3.53 thf(decl_331, type, esk203_0: product_prod_nat_nat). 3.27/3.53 thf(decl_332, type, esk204_0: product_prod_nat_nat). 3.27/3.53 thf(decl_333, type, esk205_0: product_prod_nat_nat). 3.27/3.53 thf(decl_334, type, esk206_0: product_prod_nat_nat). 3.27/3.53 thf(decl_335, type, esk207_0: product_prod_nat_nat). 3.27/3.53 thf(decl_336, type, esk208_0: product_prod_nat_nat). 3.27/3.53 thf(decl_337, type, esk209_0: product_prod_nat_nat). 3.27/3.53 thf(decl_338, type, esk210_0: product_prod_nat_nat). 3.27/3.53 thf(decl_339, type, esk211_0: product_prod_nat_nat). 3.27/3.53 thf(decl_340, type, esk212_0: product_prod_nat_nat). 3.27/3.53 thf(decl_341, type, esk213_0: product_prod_nat_nat). 3.27/3.53 thf(decl_342, type, esk214_0: product_prod_nat_nat). 3.27/3.53 thf(decl_343, type, esk215_0: product_prod_nat_nat). 3.27/3.53 thf(decl_344, type, esk216_0: product_prod_nat_nat). 3.27/3.53 thf(decl_345, type, esk217_0: product_prod_nat_nat). 3.27/3.53 thf(decl_346, type, esk218_0: product_prod_nat_nat). 3.27/3.53 thf(decl_347, type, esk219_0: product_prod_nat_nat). 3.27/3.53 thf(decl_348, type, esk220_0: product_prod_nat_nat). 3.27/3.53 thf(decl_349, type, esk221_0: product_prod_nat_nat). 3.27/3.53 thf(decl_350, type, esk222_0: product_prod_nat_nat). 3.27/3.53 thf(decl_351, type, esk223_0: product_prod_nat_nat). 3.27/3.53 thf(decl_352, type, esk224_0: product_prod_nat_nat). 3.27/3.53 thf(decl_353, type, esk225_0: product_prod_nat_nat). 3.27/3.53 thf(decl_354, type, esk226_0: product_prod_nat_nat). 3.27/3.53 thf(decl_355, type, esk227_0: product_prod_nat_nat). 3.27/3.53 thf(decl_356, type, esk228_0: product_prod_nat_nat). 3.27/3.53 thf(decl_357, type, esk229_0: product_prod_nat_nat). 3.27/3.53 thf(decl_358, type, esk230_0: product_prod_nat_nat). 3.27/3.53 thf(decl_359, type, esk231_0: product_prod_nat_nat). 3.27/3.53 thf(decl_360, type, esk232_0: product_prod_nat_nat). 3.27/3.53 thf(decl_361, type, esk233_0: product_prod_nat_nat). 3.27/3.53 thf(decl_362, type, esk234_0: product_prod_nat_nat). 3.27/3.53 thf(decl_363, type, esk235_0: product_prod_nat_nat). 3.27/3.53 thf(decl_364, type, esk236_0: product_prod_nat_nat). 3.27/3.53 thf(decl_365, type, esk237_0: product_prod_nat_nat). 3.27/3.53 thf(decl_366, type, esk238_0: product_prod_nat_nat). 3.27/3.53 thf(decl_367, type, esk239_0: product_prod_nat_nat). 3.27/3.53 thf(decl_368, type, esk240_0: product_prod_nat_nat). 3.27/3.53 thf(decl_369, type, esk241_0: product_prod_nat_nat). 3.27/3.53 thf(decl_370, type, esk242_0: product_prod_nat_nat). 3.27/3.53 thf(decl_371, type, esk243_0: product_prod_nat_nat). 3.27/3.53 thf(decl_372, type, esk244_0: product_prod_nat_nat). 3.27/3.53 thf(decl_373, type, esk245_0: product_prod_nat_nat). 3.27/3.53 thf(decl_374, type, esk246_0: product_prod_nat_nat). 3.27/3.53 thf(decl_375, type, esk247_0: product_prod_nat_nat). 3.27/3.53 thf(decl_376, type, esk248_0: product_prod_nat_nat). 3.27/3.53 thf(decl_377, type, esk249_0: product_prod_nat_nat). 3.27/3.53 thf(decl_378, type, esk250_0: product_prod_nat_nat). 3.27/3.53 thf(decl_379, type, esk251_0: product_prod_nat_nat). 3.27/3.53 thf(decl_380, type, esk252_0: product_prod_nat_nat). 3.27/3.53 thf(decl_381, type, esk253_0: product_prod_nat_nat). 3.27/3.53 thf(decl_382, type, esk254_0: product_prod_nat_nat). 3.27/3.53 thf(decl_383, type, esk255_0: product_prod_nat_nat). 3.27/3.53 thf(decl_384, type, esk256_0: product_prod_nat_nat). 3.27/3.53 thf(decl_385, type, esk257_0: product_prod_nat_nat). 3.27/3.53 thf(decl_386, type, esk258_0: product_prod_nat_nat). 3.27/3.53 thf(decl_387, type, esk259_0: product_prod_nat_nat). 3.27/3.53 thf(decl_388, type, esk260_0: product_prod_nat_nat). 3.27/3.53 thf(decl_389, type, esk261_0: product_prod_nat_nat). 3.27/3.53 thf(decl_390, type, esk262_0: product_prod_nat_nat). 3.27/3.53 thf(decl_391, type, esk263_0: product_prod_nat_nat). 3.27/3.53 thf(decl_392, type, esk264_0: product_prod_nat_nat). 3.27/3.53 thf(decl_393, type, esk265_0: product_prod_nat_nat). 3.27/3.53 thf(decl_394, type, esk266_0: product_prod_nat_nat). 3.27/3.53 thf(decl_395, type, esk267_0: product_prod_nat_nat). 3.27/3.53 thf(decl_396, type, esk268_0: product_prod_nat_nat). 3.27/3.53 thf(decl_397, type, esk269_0: product_prod_nat_nat). 3.27/3.53 thf(decl_398, type, esk270_0: product_prod_nat_nat). 3.27/3.53 thf(decl_399, type, esk271_0: product_prod_nat_nat). 3.27/3.53 thf(decl_400, type, esk272_0: product_prod_nat_nat). 3.27/3.53 thf(decl_401, type, esk273_0: product_prod_nat_nat). 3.27/3.53 thf(decl_402, type, esk274_0: product_prod_nat_nat). 3.27/3.53 thf(decl_403, type, esk275_0: product_prod_nat_nat). 3.27/3.53 thf(decl_404, type, esk276_0: product_prod_nat_nat). 3.27/3.53 thf(decl_405, type, esk277_0: product_prod_nat_nat). 3.27/3.53 thf(decl_406, type, esk278_0: product_prod_nat_nat). 3.27/3.53 thf(decl_407, type, esk279_0: product_prod_nat_nat). 3.27/3.53 thf(decl_408, type, esk280_0: product_prod_nat_nat). 3.27/3.53 thf(decl_409, type, esk281_0: product_prod_nat_nat). 3.27/3.53 thf(decl_410, type, esk282_0: product_prod_nat_nat). 3.27/3.53 thf(decl_411, type, esk283_0: product_prod_nat_nat). 3.27/3.53 thf(decl_412, type, esk284_0: product_prod_nat_nat). 3.27/3.53 thf(decl_413, type, esk285_0: product_prod_nat_nat). 3.27/3.53 thf(decl_414, type, esk286_0: product_prod_nat_nat). 3.27/3.53 thf(decl_415, type, esk287_0: product_prod_nat_nat). 3.27/3.53 thf(decl_416, type, esk288_0: product_prod_nat_nat). 3.27/3.53 thf(decl_417, type, esk289_0: product_prod_nat_nat). 3.27/3.53 thf(decl_418, type, esk290_0: product_prod_nat_nat). 3.27/3.53 thf(decl_419, type, esk291_0: product_prod_nat_nat). 3.27/3.53 thf(decl_420, type, esk292_0: product_prod_nat_nat). 3.27/3.53 thf(decl_421, type, esk293_0: product_prod_nat_nat). 3.27/3.53 thf(decl_422, type, esk294_0: product_prod_nat_nat). 3.27/3.53 thf(decl_423, type, esk295_0: product_prod_nat_nat). 3.27/3.53 thf(decl_424, type, esk296_0: product_prod_nat_nat). 3.27/3.53 thf(decl_425, type, esk297_0: product_prod_nat_nat). 3.27/3.53 thf(decl_426, type, esk298_0: product_prod_nat_nat). 3.27/3.53 thf(decl_427, type, esk299_0: product_prod_nat_nat). 3.27/3.53 thf(decl_428, type, esk300_0: product_prod_nat_nat). 3.27/3.53 thf(decl_429, type, esk301_0: product_prod_nat_nat). 3.27/3.53 thf(decl_430, type, esk302_0: product_prod_nat_nat). 3.27/3.53 thf(decl_431, type, esk303_0: product_prod_nat_nat). 3.27/3.53 thf(decl_432, type, esk304_0: product_prod_nat_nat). 3.27/3.53 thf(decl_433, type, esk305_0: product_prod_nat_nat). 3.27/3.53 thf(decl_434, type, esk306_0: product_prod_nat_nat). 3.27/3.53 thf(decl_435, type, esk307_0: product_prod_nat_nat). 3.27/3.53 thf(decl_436, type, esk308_0: product_prod_nat_nat). 3.27/3.53 thf(decl_437, type, esk309_0: product_prod_nat_nat). 3.27/3.53 thf(decl_438, type, esk310_0: product_prod_nat_nat). 3.27/3.53 thf(decl_439, type, esk311_0: product_prod_nat_nat). 3.27/3.53 thf(decl_440, type, esk312_0: product_prod_nat_nat). 3.27/3.53 thf(decl_441, type, esk313_0: product_prod_nat_nat). 3.27/3.53 thf(decl_442, type, esk314_0: product_prod_nat_nat). 3.27/3.53 thf(decl_443, type, esk315_0: product_prod_nat_nat). 3.27/3.53 thf(decl_444, type, esk316_0: product_prod_nat_nat). 3.27/3.53 thf(decl_445, type, esk317_0: product_prod_nat_nat). 3.27/3.53 thf(decl_446, type, esk318_0: product_prod_nat_nat). 3.27/3.53 thf(decl_447, type, esk319_0: product_prod_nat_nat). 3.27/3.53 thf(decl_448, type, esk320_0: product_prod_nat_nat). 3.27/3.53 thf(decl_449, type, esk321_0: product_prod_nat_nat). 3.27/3.53 thf(decl_450, type, esk322_0: product_prod_nat_nat). 3.27/3.53 thf(decl_451, type, esk323_0: product_prod_nat_nat). 3.27/3.53 thf(decl_452, type, esk324_0: product_prod_nat_nat). 3.27/3.53 thf(decl_453, type, esk325_0: product_prod_nat_nat). 3.27/3.53 thf(decl_454, type, esk326_0: product_prod_nat_nat). 3.27/3.53 thf(decl_455, type, esk327_0: product_prod_nat_nat). 3.27/3.53 thf(decl_456, type, esk328_0: product_prod_nat_nat). 3.27/3.53 thf(decl_457, type, esk329_0: product_prod_nat_nat). 3.27/3.53 thf(decl_458, type, esk330_0: product_prod_nat_nat). 3.27/3.53 thf(decl_459, type, esk331_0: product_prod_nat_nat). 3.27/3.53 thf(decl_460, type, esk332_0: product_prod_nat_nat). 3.27/3.53 thf(decl_461, type, esk333_0: product_prod_nat_nat). 3.27/3.53 thf(decl_462, type, esk334_0: product_prod_nat_nat). 3.27/3.53 thf(decl_463, type, esk335_0: product_prod_nat_nat). 3.27/3.53 thf(decl_464, type, esk336_0: product_prod_nat_nat). 3.27/3.53 thf(decl_465, type, esk337_0: product_prod_nat_nat). 3.27/3.53 thf(decl_466, type, esk338_0: product_prod_nat_nat). 3.27/3.53 thf(decl_467, type, esk339_0: product_prod_nat_nat). 3.27/3.53 thf(decl_468, type, esk340_0: product_prod_nat_nat). 3.27/3.53 thf(decl_469, type, esk341_0: product_prod_nat_nat). 3.27/3.53 thf(decl_470, type, esk342_0: product_prod_nat_nat). 3.27/3.53 thf(decl_471, type, esk343_0: product_prod_nat_nat). 3.27/3.53 thf(decl_472, type, esk344_0: product_prod_nat_nat). 3.27/3.53 thf(decl_473, type, esk345_0: product_prod_nat_nat). 3.27/3.53 thf(decl_474, type, esk346_0: product_prod_nat_nat). 3.27/3.53 thf(decl_475, type, esk347_0: product_prod_nat_nat). 3.27/3.53 thf(decl_476, type, esk348_0: product_prod_nat_nat). 3.27/3.53 thf(decl_477, type, esk349_0: product_prod_nat_nat). 3.27/3.53 thf(decl_478, type, esk350_0: product_prod_nat_nat). 3.27/3.53 thf(decl_479, type, esk351_0: product_prod_nat_nat). 3.27/3.53 thf(decl_480, type, esk352_0: product_prod_nat_nat). 3.27/3.53 thf(decl_481, type, esk353_0: product_prod_nat_nat). 3.27/3.53 thf(decl_482, type, esk354_0: product_prod_nat_nat). 3.27/3.53 thf(decl_483, type, esk355_0: product_prod_nat_nat). 3.27/3.53 thf(decl_484, type, esk356_0: product_prod_nat_nat). 3.27/3.53 thf(decl_485, type, esk357_0: product_prod_nat_nat). 3.27/3.53 thf(decl_486, type, esk358_0: product_prod_nat_nat). 3.27/3.53 thf(decl_487, type, esk359_0: product_prod_nat_nat). 3.27/3.53 thf(decl_488, type, esk360_0: product_prod_nat_nat). 3.27/3.53 thf(decl_489, type, esk361_0: product_prod_nat_nat). 3.27/3.53 thf(decl_490, type, esk362_0: product_prod_nat_nat). 3.27/3.53 thf(decl_491, type, esk363_0: product_prod_nat_nat). 3.27/3.53 thf(decl_492, type, esk364_0: product_prod_nat_nat). 3.27/3.53 thf(decl_493, type, esk365_0: product_prod_nat_nat). 3.27/3.53 thf(decl_494, type, esk366_0: product_prod_nat_nat). 3.27/3.53 thf(decl_495, type, esk367_0: product_prod_nat_nat). 3.27/3.53 thf(decl_496, type, esk368_0: product_prod_nat_nat). 3.27/3.53 thf(decl_497, type, esk369_0: product_prod_nat_nat). 3.27/3.53 thf(decl_498, type, esk370_0: product_prod_nat_nat). 3.27/3.53 thf(decl_499, type, esk371_0: product_prod_nat_nat). 3.27/3.53 thf(decl_500, type, esk372_0: product_prod_nat_nat). 3.27/3.53 thf(decl_501, type, esk373_0: product_prod_nat_nat). 3.27/3.53 thf(decl_502, type, esk374_0: product_prod_nat_nat). 3.27/3.53 thf(decl_503, type, esk375_0: product_prod_nat_nat). 3.27/3.53 thf(decl_504, type, esk376_0: product_prod_nat_nat). 3.27/3.53 thf(decl_505, type, esk377_0: product_prod_nat_nat). 3.27/3.53 thf(decl_506, type, esk378_0: product_prod_nat_nat). 3.27/3.53 thf(decl_507, type, esk379_0: product_prod_nat_nat). 3.27/3.53 thf(decl_508, type, esk380_0: product_prod_nat_nat). 3.27/3.53 thf(decl_509, type, esk381_0: product_prod_nat_nat). 3.27/3.53 thf(decl_510, type, esk382_0: product_prod_nat_nat). 3.27/3.53 thf(decl_511, type, esk383_0: product_prod_nat_nat). 3.27/3.53 thf(decl_512, type, esk384_0: product_prod_nat_nat). 3.27/3.53 thf(decl_513, type, esk385_0: product_prod_nat_nat). 3.27/3.53 thf(decl_514, type, esk386_0: product_prod_nat_nat). 3.27/3.53 thf(decl_515, type, esk387_0: product_prod_nat_nat). 3.27/3.53 thf(decl_516, type, esk388_0: product_prod_nat_nat). 3.27/3.53 thf(decl_517, type, esk389_0: product_prod_nat_nat). 3.27/3.53 thf(decl_518, type, esk390_0: product_prod_nat_nat). 3.27/3.53 thf(decl_519, type, esk391_0: product_prod_nat_nat). 3.27/3.53 thf(decl_520, type, esk392_0: product_prod_nat_nat). 3.27/3.53 thf(decl_521, type, esk393_0: product_prod_nat_nat). 3.27/3.53 thf(decl_522, type, esk394_0: product_prod_nat_nat). 3.27/3.53 thf(decl_523, type, esk395_0: product_prod_nat_nat). 3.27/3.53 thf(decl_524, type, esk396_0: product_prod_nat_nat). 3.27/3.53 thf(decl_525, type, esk397_0: product_prod_nat_nat). 3.27/3.53 thf(decl_526, type, esk398_0: product_prod_nat_nat). 3.27/3.53 thf(decl_527, type, esk399_0: product_prod_nat_nat). 3.27/3.53 thf(decl_528, type, esk400_0: product_prod_nat_nat). 3.27/3.53 thf(decl_529, type, esk401_0: product_prod_nat_nat). 3.27/3.53 thf(decl_530, type, esk402_0: product_prod_nat_nat). 3.27/3.53 thf(decl_531, type, esk403_0: product_prod_nat_nat). 3.27/3.53 thf(decl_532, type, esk404_0: product_prod_nat_nat). 3.27/3.53 thf(decl_533, type, esk405_0: product_prod_nat_nat). 3.27/3.53 thf(decl_534, type, esk406_0: product_prod_nat_nat). 3.27/3.53 thf(decl_535, type, esk407_0: product_prod_nat_nat). 3.27/3.53 thf(decl_536, type, esk408_0: product_prod_nat_nat). 3.27/3.53 thf(decl_537, type, esk409_0: product_prod_nat_nat). 3.27/3.53 thf(decl_538, type, esk410_0: product_prod_nat_nat). 3.27/3.53 thf(decl_539, type, esk411_0: product_prod_nat_nat). 3.27/3.53 thf(decl_540, type, esk412_0: product_prod_nat_nat). 3.27/3.53 thf(decl_541, type, esk413_0: product_prod_nat_nat). 3.27/3.53 thf(decl_542, type, esk414_0: product_prod_nat_nat). 3.27/3.53 thf(decl_543, type, esk415_0: product_prod_nat_nat). 3.27/3.53 thf(decl_544, type, esk416_0: product_prod_nat_nat). 3.27/3.53 thf(decl_545, type, esk417_0: product_prod_nat_nat). 3.27/3.53 thf(decl_546, type, esk418_0: product_prod_nat_nat). 3.27/3.53 thf(decl_547, type, esk419_0: product_prod_nat_nat). 3.27/3.53 thf(decl_548, type, esk420_0: product_prod_nat_nat). 3.27/3.53 thf(decl_549, type, esk421_0: product_prod_nat_nat). 3.27/3.53 thf(decl_550, type, esk422_0: product_prod_nat_nat). 3.27/3.53 thf(decl_551, type, esk423_0: product_prod_nat_nat). 3.27/3.53 thf(decl_552, type, esk424_0: product_prod_nat_nat). 3.27/3.53 thf(decl_553, type, esk425_0: product_prod_nat_nat). 3.27/3.53 thf(decl_554, type, esk426_0: product_prod_nat_nat). 3.27/3.53 thf(decl_555, type, esk427_0: product_prod_nat_nat). 3.27/3.53 thf(decl_556, type, esk428_0: product_prod_nat_nat). 3.27/3.53 thf(decl_557, type, esk429_0: product_prod_nat_nat). 3.27/3.53 thf(decl_558, type, esk430_0: product_prod_nat_nat). 3.27/3.53 thf(decl_559, type, esk431_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_560, type, esk432_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_561, type, esk433_0: product_prod_nat_nat). 3.27/3.53 thf(decl_562, type, esk434_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_563, type, esk435_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_564, type, esk436_0: product_prod_nat_nat). 3.27/3.53 thf(decl_565, type, esk437_0: product_prod_nat_nat). 3.27/3.53 thf(decl_566, type, esk438_0: product_prod_nat_nat). 3.27/3.53 thf(decl_567, type, esk439_0: product_prod_nat_nat). 3.27/3.53 thf(decl_568, type, esk440_0: product_prod_nat_nat). 3.27/3.53 thf(decl_569, type, esk441_0: product_prod_nat_nat). 3.27/3.53 thf(decl_570, type, esk442_0: product_prod_nat_nat). 3.27/3.53 thf(decl_571, type, esk443_0: product_prod_nat_nat). 3.27/3.53 thf(decl_572, type, esk444_0: product_prod_nat_nat). 3.27/3.53 thf(decl_573, type, esk445_0: product_prod_nat_nat). 3.27/3.53 thf(decl_574, type, esk446_0: product_prod_nat_nat). 3.27/3.53 thf(decl_575, type, esk447_0: product_prod_nat_nat). 3.27/3.53 thf(decl_576, type, esk448_0: product_prod_nat_nat). 3.27/3.53 thf(decl_577, type, esk449_0: product_prod_nat_nat). 3.27/3.53 thf(decl_578, type, esk450_0: product_prod_nat_nat). 3.27/3.53 thf(decl_579, type, esk451_0: product_prod_nat_nat). 3.27/3.53 thf(decl_580, type, esk452_0: product_prod_nat_nat). 3.27/3.53 thf(decl_581, type, esk453_0: product_prod_nat_nat). 3.27/3.53 thf(decl_582, type, esk454_0: product_prod_nat_nat). 3.27/3.53 thf(decl_583, type, esk455_0: product_prod_nat_nat). 3.27/3.53 thf(decl_584, type, esk456_0: product_prod_nat_nat). 3.27/3.53 thf(decl_585, type, esk457_0: product_prod_nat_nat). 3.27/3.53 thf(decl_586, type, esk458_0: product_prod_nat_nat). 3.27/3.53 thf(decl_587, type, esk459_0: product_prod_nat_nat). 3.27/3.53 thf(decl_588, type, esk460_0: product_prod_nat_nat). 3.27/3.53 thf(decl_589, type, esk461_0: product_prod_nat_nat). 3.27/3.53 thf(decl_590, type, esk462_0: product_prod_nat_nat). 3.27/3.53 thf(decl_591, type, esk463_0: product_prod_nat_nat). 3.27/3.53 thf(decl_592, type, esk464_0: product_prod_nat_nat). 3.27/3.53 thf(decl_593, type, esk465_0: product_prod_nat_nat). 3.27/3.53 thf(decl_594, type, esk466_0: product_prod_nat_nat). 3.27/3.53 thf(decl_595, type, esk467_0: product_prod_nat_nat). 3.27/3.53 thf(decl_596, type, esk468_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.53 thf(decl_597, type, esk469_0: product_prod_nat_nat). 3.27/3.53 thf(decl_598, type, esk470_0: product_prod_nat_nat). 3.27/3.53 thf(decl_599, type, esk471_0: product_prod_nat_nat). 3.27/3.53 thf(decl_600, type, esk472_0: product_prod_nat_nat). 3.27/3.53 thf(decl_601, type, esk473_0: product_prod_nat_nat). 3.27/3.53 thf(decl_602, type, esk474_0: product_prod_nat_nat). 3.27/3.53 thf(decl_603, type, esk475_0: product_prod_nat_nat). 3.27/3.53 thf(decl_604, type, esk476_0: product_prod_nat_nat). 3.27/3.53 thf(decl_605, type, esk477_0: product_prod_nat_nat). 3.27/3.53 thf(decl_606, type, esk478_0: product_prod_nat_nat). 3.27/3.53 thf(decl_607, type, esk479_0: product_prod_nat_nat). 3.27/3.53 thf(decl_608, type, esk480_0: product_prod_nat_nat). 3.27/3.53 thf(decl_609, type, esk481_0: product_prod_nat_nat). 3.27/3.53 thf(decl_610, type, esk482_0: product_prod_nat_nat). 3.27/3.53 thf(decl_611, type, esk483_0: product_prod_nat_nat). 3.27/3.53 thf(decl_612, type, esk484_0: product_prod_nat_nat). 3.27/3.53 thf(decl_613, type, esk485_0: product_prod_nat_nat). 3.27/3.53 thf(decl_614, type, esk486_0: product_prod_nat_nat). 3.27/3.53 thf(decl_615, type, esk487_0: product_prod_nat_nat). 3.27/3.53 thf(decl_616, type, esk488_0: product_prod_nat_nat). 3.27/3.53 thf(decl_617, type, esk489_0: product_prod_nat_nat). 3.27/3.53 thf(decl_618, type, esk490_0: product_prod_nat_nat). 3.27/3.53 thf(decl_619, type, esk491_0: product_prod_nat_nat). 3.27/3.53 thf(decl_620, type, esk492_0: product_prod_nat_nat). 3.27/3.53 thf(decl_621, type, esk493_0: product_prod_nat_nat). 3.27/3.53 thf(decl_622, type, esk494_0: product_prod_nat_nat). 3.27/3.53 thf(decl_623, type, esk495_0: product_prod_nat_nat). 3.27/3.53 thf(decl_624, type, esk496_0: product_prod_nat_nat). 3.27/3.53 thf(decl_625, type, esk497_0: product_prod_nat_nat). 3.27/3.53 thf(decl_626, type, esk498_0: product_prod_nat_nat). 3.27/3.53 thf(decl_627, type, esk499_0: product_prod_nat_nat). 3.27/3.53 thf(decl_628, type, esk500_0: product_prod_nat_nat). 3.27/3.53 thf(decl_629, type, esk501_0: product_prod_nat_nat). 3.27/3.53 thf(decl_630, type, esk502_0: product_prod_nat_nat). 3.27/3.53 thf(decl_631, type, esk503_0: product_prod_nat_nat). 3.27/3.53 thf(decl_632, type, esk504_0: product_prod_nat_nat). 3.27/3.53 thf(decl_633, type, esk505_0: product_prod_nat_nat). 3.27/3.53 thf(decl_634, type, esk506_0: product_prod_nat_nat). 3.27/3.53 thf(decl_635, type, esk507_0: product_prod_nat_nat). 3.27/3.53 thf(decl_636, type, esk508_0: product_prod_nat_nat). 3.27/3.53 thf(decl_637, type, esk509_0: product_prod_nat_nat). 3.27/3.53 thf(decl_638, type, esk510_0: product_prod_nat_nat). 3.27/3.53 thf(decl_639, type, esk511_0: product_prod_nat_nat). 3.27/3.53 thf(decl_640, type, esk512_0: product_prod_nat_nat). 3.27/3.53 thf(decl_641, type, esk513_0: product_prod_nat_nat). 3.27/3.53 thf(decl_642, type, esk514_0: product_prod_nat_nat). 3.27/3.53 thf(decl_643, type, esk515_0: product_prod_nat_nat). 3.27/3.53 thf(decl_644, type, esk516_0: product_prod_nat_nat). 3.27/3.53 thf(decl_645, type, esk517_0: product_prod_nat_nat). 3.27/3.53 thf(decl_646, type, esk518_0: product_prod_nat_nat). 3.27/3.53 thf(decl_647, type, esk519_0: product_prod_nat_nat). 3.27/3.53 thf(decl_648, type, esk520_0: product_prod_nat_nat). 3.27/3.53 thf(decl_649, type, esk521_0: product_prod_nat_nat). 3.27/3.53 thf(decl_650, type, esk522_0: product_prod_nat_nat). 3.27/3.53 thf(decl_651, type, esk523_1: real > product_prod_nat_nat). 3.27/3.53 thf(decl_652, type, esk524_0: product_prod_nat_nat). 3.27/3.53 thf(decl_653, type, esk525_0: product_prod_nat_nat). 3.27/3.53 thf(decl_654, type, esk526_0: product_prod_nat_nat). 3.27/3.53 thf(decl_655, type, esk527_0: product_prod_nat_nat). 3.27/3.53 thf(decl_656, type, esk528_0: product_prod_nat_nat). 3.27/3.53 thf(decl_657, type, esk529_0: product_prod_nat_nat). 3.27/3.53 thf(decl_658, type, esk530_0: product_prod_nat_nat). 3.27/3.53 thf(decl_659, type, esk531_1: real > product_prod_nat_nat). 3.27/3.53 thf(decl_660, type, esk532_0: product_prod_nat_nat). 3.27/3.53 thf(decl_661, type, esk533_0: product_prod_nat_nat). 3.27/3.53 thf(decl_662, type, esk534_0: product_prod_nat_nat). 3.27/3.53 thf(decl_663, type, esk535_0: product_prod_nat_nat). 3.27/3.53 thf(decl_664, type, esk536_0: product_prod_nat_nat). 3.27/3.53 thf(decl_665, type, esk537_0: product_prod_nat_nat). 3.27/3.53 thf(decl_666, type, esk538_0: product_prod_nat_nat). 3.27/3.53 thf(decl_667, type, esk539_0: product_prod_nat_nat). 3.27/3.53 thf(decl_668, type, esk540_0: product_prod_nat_nat). 3.27/3.53 thf(decl_669, type, esk541_0: product_prod_nat_nat). 3.27/3.53 thf(decl_670, type, esk542_0: product_prod_nat_nat). 3.27/3.53 thf(decl_671, type, esk543_0: product_prod_nat_nat). 3.27/3.53 thf(decl_672, type, esk544_0: product_prod_nat_nat). 3.27/3.53 thf(decl_673, type, esk545_0: product_prod_nat_nat). 3.27/3.53 thf(decl_674, type, esk546_0: product_prod_nat_nat). 3.27/3.53 thf(decl_675, type, esk547_0: product_prod_nat_nat). 3.27/3.53 thf(decl_676, type, esk548_1: real > product_prod_nat_nat). 3.27/3.53 thf(decl_677, type, esk549_0: product_prod_nat_nat). 3.27/3.53 thf(decl_678, type, esk550_0: product_prod_nat_nat). 3.27/3.53 thf(decl_679, type, esk551_0: product_prod_nat_nat). 3.27/3.53 thf(decl_680, type, esk552_0: product_prod_nat_nat). 3.27/3.53 thf(decl_681, type, esk553_0: product_prod_nat_nat). 3.27/3.53 thf(decl_682, type, esk554_0: product_prod_nat_nat). 3.27/3.53 thf(decl_683, type, esk555_0: product_prod_nat_nat). 3.27/3.53 thf(decl_684, type, esk556_0: product_prod_nat_nat). 3.27/3.53 thf(decl_685, type, esk557_0: product_prod_nat_nat). 3.27/3.53 thf(decl_686, type, esk558_0: product_prod_nat_nat). 3.27/3.53 thf(decl_687, type, esk559_0: product_prod_nat_nat). 3.27/3.53 thf(decl_688, type, esk560_0: product_prod_nat_nat). 3.27/3.53 thf(decl_689, type, esk561_0: product_prod_nat_nat). 3.27/3.53 thf(decl_690, type, esk562_0: product_prod_nat_nat). 3.27/3.53 thf(decl_691, type, esk563_0: product_prod_nat_nat). 3.27/3.53 thf(decl_692, type, esk564_0: product_prod_nat_nat). 3.27/3.53 thf(decl_693, type, esk565_0: product_prod_nat_nat). 3.27/3.53 thf(decl_694, type, esk566_0: product_prod_nat_nat). 3.27/3.53 thf(decl_695, type, esk567_0: product_prod_nat_nat). 3.27/3.53 thf(decl_696, type, esk568_0: product_prod_nat_nat). 3.27/3.53 thf(decl_697, type, esk569_0: product_prod_nat_nat). 3.27/3.53 thf(decl_698, type, esk570_0: product_prod_nat_nat). 3.27/3.53 thf(decl_699, type, esk571_0: product_prod_nat_nat). 3.27/3.53 thf(decl_700, type, esk572_0: product_prod_nat_nat). 3.27/3.53 thf(decl_701, type, esk573_0: product_prod_nat_nat). 3.27/3.53 thf(decl_702, type, esk574_0: product_prod_nat_nat). 3.27/3.53 thf(decl_703, type, esk575_0: product_prod_nat_nat). 3.27/3.53 thf(decl_704, type, esk576_0: product_prod_nat_nat). 3.27/3.53 thf(decl_705, type, esk577_0: product_prod_nat_nat). 3.27/3.53 thf(decl_706, type, esk578_0: product_prod_nat_nat). 3.27/3.53 thf(decl_707, type, esk579_0: product_prod_nat_nat). 3.27/3.53 thf(decl_708, type, esk580_0: product_prod_nat_nat). 3.27/3.53 thf(decl_709, type, esk581_0: product_prod_nat_nat). 3.27/3.53 thf(decl_710, type, esk582_0: product_prod_nat_nat). 3.27/3.53 thf(decl_711, type, esk583_0: product_prod_nat_nat). 3.27/3.53 thf(decl_712, type, esk584_0: product_prod_nat_nat). 3.27/3.53 thf(decl_713, type, esk585_0: product_prod_nat_nat). 3.27/3.53 thf(decl_714, type, esk586_0: product_prod_nat_nat). 3.27/3.53 thf(decl_715, type, esk587_0: product_prod_nat_nat). 3.27/3.53 thf(decl_716, type, esk588_0: product_prod_nat_nat). 3.27/3.53 thf(decl_717, type, esk589_0: product_prod_nat_nat). 3.27/3.53 thf(decl_718, type, esk590_0: product_prod_nat_nat). 3.27/3.53 thf(decl_719, type, esk591_0: product_prod_nat_nat). 3.27/3.53 thf(decl_720, type, esk592_0: product_prod_nat_nat). 3.27/3.53 thf(decl_721, type, esk593_0: product_prod_nat_nat). 3.27/3.53 thf(decl_722, type, esk594_0: product_prod_nat_nat). 3.27/3.53 thf(decl_723, type, esk595_0: product_prod_nat_nat). 3.27/3.53 thf(decl_724, type, esk596_0: product_prod_nat_nat). 3.27/3.53 thf(decl_725, type, esk597_0: product_prod_nat_nat). 3.27/3.53 thf(decl_726, type, esk598_0: product_prod_nat_nat). 3.27/3.53 thf(decl_727, type, esk599_0: product_prod_nat_nat). 3.27/3.53 thf(decl_728, type, esk600_0: product_prod_nat_nat). 3.27/3.53 thf(decl_729, type, esk601_0: product_prod_nat_nat). 3.27/3.53 thf(decl_730, type, esk602_0: product_prod_nat_nat). 3.27/3.53 thf(decl_731, type, esk603_0: product_prod_nat_nat). 3.27/3.53 thf(decl_732, type, esk604_0: product_prod_nat_nat). 3.27/3.53 thf(decl_733, type, esk605_0: product_prod_nat_nat). 3.27/3.53 thf(decl_734, type, esk606_0: product_prod_nat_nat). 3.27/3.53 thf(decl_735, type, esk607_0: product_prod_nat_nat). 3.27/3.53 thf(decl_736, type, esk608_0: product_prod_nat_nat). 3.27/3.53 thf(decl_737, type, esk609_0: product_prod_nat_nat). 3.27/3.53 thf(decl_738, type, esk610_0: product_prod_nat_nat). 3.27/3.53 thf(decl_739, type, esk611_0: product_prod_nat_nat). 3.27/3.53 thf(decl_740, type, esk612_0: product_prod_nat_nat). 3.27/3.53 thf(decl_741, type, esk613_0: product_prod_nat_nat). 3.27/3.53 thf(decl_742, type, esk614_0: product_prod_nat_nat). 3.27/3.53 thf(decl_743, type, esk615_0: product_prod_nat_nat). 3.27/3.53 thf(decl_744, type, esk616_0: product_prod_nat_nat). 3.27/3.53 thf(decl_745, type, esk617_0: product_prod_nat_nat). 3.27/3.53 thf(decl_746, type, esk618_0: product_prod_nat_nat). 3.27/3.53 thf(decl_747, type, esk619_0: product_prod_nat_nat). 3.27/3.53 thf(decl_748, type, esk620_0: product_prod_nat_nat). 3.27/3.53 thf(decl_749, type, esk621_0: product_prod_nat_nat). 3.27/3.53 thf(decl_750, type, esk622_0: product_prod_nat_nat). 3.27/3.53 thf(decl_751, type, esk623_0: product_prod_nat_nat). 3.27/3.53 thf(decl_752, type, esk624_0: product_prod_nat_nat). 3.27/3.53 thf(decl_753, type, esk625_0: product_prod_nat_nat). 3.27/3.53 thf(decl_754, type, esk626_0: product_prod_nat_nat). 3.27/3.53 thf(decl_755, type, esk627_0: product_prod_nat_nat). 3.27/3.53 thf(decl_756, type, esk628_0: product_prod_nat_nat). 3.27/3.53 thf(decl_757, type, esk629_0: product_prod_nat_nat). 3.27/3.53 thf(decl_758, type, esk630_0: product_prod_nat_nat). 3.27/3.53 thf(decl_759, type, esk631_0: product_prod_nat_nat). 3.27/3.53 thf(decl_760, type, esk632_0: product_prod_nat_nat). 3.27/3.53 thf(decl_761, type, esk633_0: product_prod_nat_nat). 3.27/3.53 thf(decl_762, type, esk634_0: product_prod_nat_nat). 3.27/3.53 thf(decl_763, type, esk635_0: product_prod_nat_nat). 3.27/3.53 thf(decl_764, type, esk636_0: product_prod_nat_nat). 3.27/3.53 thf(decl_765, type, esk637_0: product_prod_nat_nat). 3.27/3.53 thf(decl_766, type, esk638_0: product_prod_nat_nat). 3.27/3.53 thf(decl_767, type, esk639_0: product_prod_nat_nat). 3.27/3.53 thf(decl_768, type, esk640_0: product_prod_nat_nat). 3.27/3.53 thf(decl_769, type, esk641_0: product_prod_nat_nat). 3.27/3.53 thf(decl_770, type, esk642_0: product_prod_nat_nat). 3.27/3.53 thf(decl_771, type, esk643_0: product_prod_nat_nat). 3.27/3.53 thf(decl_772, type, esk644_0: product_prod_nat_nat). 3.27/3.53 thf(decl_773, type, esk645_0: product_prod_nat_nat). 3.27/3.53 thf(decl_774, type, esk646_0: product_prod_nat_nat). 3.27/3.53 thf(decl_775, type, esk647_0: product_prod_nat_nat). 3.27/3.53 thf(decl_776, type, esk648_0: product_prod_nat_nat). 3.27/3.53 thf(decl_777, type, esk649_0: product_prod_nat_nat). 3.27/3.53 thf(decl_778, type, esk650_0: product_prod_nat_nat). 3.27/3.53 thf(decl_779, type, esk651_0: product_prod_nat_nat). 3.27/3.53 thf(decl_780, type, esk652_0: product_prod_nat_nat). 3.27/3.53 thf(decl_781, type, esk653_0: product_prod_nat_nat). 3.27/3.53 thf(decl_782, type, esk654_0: product_prod_nat_nat). 3.27/3.53 thf(decl_783, type, esk655_0: product_prod_nat_nat). 3.27/3.53 thf(decl_784, type, esk656_0: product_prod_nat_nat). 3.27/3.53 thf(decl_785, type, esk657_0: product_prod_nat_nat). 3.27/3.53 thf(decl_786, type, esk658_0: product_prod_nat_nat). 3.27/3.53 thf(decl_787, type, esk659_0: product_prod_nat_nat). 3.27/3.53 thf(decl_788, type, esk660_0: product_prod_nat_nat). 3.27/3.53 thf(decl_789, type, esk661_0: product_prod_nat_nat). 3.27/3.53 thf(decl_790, type, esk662_0: product_prod_nat_nat). 3.27/3.53 thf(decl_791, type, esk663_0: product_prod_nat_nat). 3.27/3.53 thf(decl_792, type, esk664_0: product_prod_nat_nat). 3.27/3.53 thf(decl_793, type, esk665_0: product_prod_nat_nat). 3.27/3.53 thf(decl_794, type, esk666_0: product_prod_nat_nat). 3.27/3.53 thf(decl_795, type, esk667_0: product_prod_nat_nat). 3.27/3.53 thf(decl_796, type, esk668_0: product_prod_nat_nat). 3.27/3.53 thf(decl_797, type, esk669_0: product_prod_nat_nat). 3.27/3.53 thf(decl_798, type, esk670_0: product_prod_nat_nat). 3.27/3.53 thf(decl_799, type, esk671_0: product_prod_nat_nat). 3.27/3.53 thf(decl_800, type, esk672_0: product_prod_nat_nat). 3.27/3.53 thf(decl_801, type, esk673_0: product_prod_nat_nat). 3.27/3.53 thf(decl_802, type, esk674_0: product_prod_nat_nat). 3.27/3.53 thf(decl_803, type, esk675_0: product_prod_nat_nat). 3.27/3.53 thf(decl_804, type, esk676_0: product_prod_nat_nat). 3.27/3.53 thf(decl_805, type, esk677_0: product_prod_nat_nat). 3.27/3.53 thf(decl_806, type, esk678_0: product_prod_nat_nat). 3.27/3.53 thf(decl_807, type, esk679_0: product_prod_nat_nat). 3.27/3.53 thf(decl_808, type, esk680_0: product_prod_nat_nat). 3.27/3.53 thf(decl_809, type, esk681_0: product_prod_nat_nat). 3.27/3.53 thf(decl_810, type, esk682_0: product_prod_nat_nat). 3.27/3.53 thf(decl_811, type, esk683_0: product_prod_nat_nat). 3.27/3.53 thf(decl_812, type, esk684_0: product_prod_nat_nat). 3.27/3.53 thf(decl_813, type, esk685_0: product_prod_nat_nat). 3.27/3.53 thf(decl_814, type, esk686_0: product_prod_nat_nat). 3.27/3.53 thf(decl_815, type, esk687_0: product_prod_nat_nat). 3.27/3.53 thf(decl_816, type, esk688_0: product_prod_nat_nat). 3.27/3.53 thf(decl_817, type, esk689_0: product_prod_nat_nat). 3.27/3.53 thf(decl_818, type, esk690_0: product_prod_nat_nat). 3.27/3.53 thf(decl_819, type, esk691_0: product_prod_nat_nat). 3.27/3.53 thf(decl_820, type, esk692_0: product_prod_nat_nat). 3.27/3.53 thf(decl_821, type, esk693_0: product_prod_nat_nat). 3.27/3.53 thf(decl_822, type, esk694_0: product_prod_nat_nat). 3.27/3.53 thf(decl_823, type, esk695_0: product_prod_nat_nat). 3.27/3.53 thf(decl_824, type, esk696_0: product_prod_nat_nat). 3.27/3.54 thf(decl_825, type, esk697_0: product_prod_nat_nat). 3.27/3.54 thf(decl_826, type, esk698_0: product_prod_nat_nat). 3.27/3.54 thf(decl_827, type, esk699_0: product_prod_nat_nat). 3.27/3.54 thf(decl_828, type, esk700_0: product_prod_nat_nat). 3.27/3.54 thf(decl_829, type, esk701_0: product_prod_nat_nat). 3.27/3.54 thf(decl_830, type, esk702_0: product_prod_nat_nat). 3.27/3.54 thf(decl_831, type, esk703_0: product_prod_nat_nat). 3.27/3.54 thf(decl_832, type, esk704_0: product_prod_nat_nat). 3.27/3.54 thf(decl_833, type, esk705_0: product_prod_nat_nat). 3.27/3.54 thf(decl_834, type, esk706_0: product_prod_nat_nat). 3.27/3.54 thf(decl_835, type, esk707_0: product_prod_nat_nat). 3.27/3.54 thf(decl_836, type, esk708_0: product_prod_nat_nat). 3.27/3.54 thf(decl_837, type, esk709_0: product_prod_nat_nat). 3.27/3.54 thf(decl_838, type, esk710_0: product_prod_nat_nat). 3.27/3.54 thf(decl_839, type, esk711_0: product_prod_nat_nat). 3.27/3.54 thf(decl_840, type, esk712_0: product_prod_nat_nat). 3.27/3.54 thf(decl_841, type, esk713_0: product_prod_nat_nat). 3.27/3.54 thf(decl_842, type, esk714_0: product_prod_nat_nat). 3.27/3.54 thf(decl_843, type, esk715_0: product_prod_nat_nat). 3.27/3.54 thf(decl_844, type, esk716_0: product_prod_nat_nat). 3.27/3.54 thf(decl_845, type, esk717_0: product_prod_nat_nat). 3.27/3.54 thf(decl_846, type, esk718_0: product_prod_nat_nat). 3.27/3.54 thf(decl_847, type, esk719_0: product_prod_nat_nat). 3.27/3.54 thf(decl_848, type, esk720_0: product_prod_nat_nat). 3.27/3.54 thf(decl_849, type, esk721_0: product_prod_nat_nat). 3.27/3.54 thf(decl_850, type, esk722_0: product_prod_nat_nat). 3.27/3.54 thf(decl_851, type, esk723_0: product_prod_nat_nat). 3.27/3.54 thf(decl_852, type, esk724_0: product_prod_nat_nat). 3.27/3.54 thf(decl_853, type, esk725_0: product_prod_nat_nat). 3.27/3.54 thf(decl_854, type, esk726_0: product_prod_nat_nat). 3.27/3.54 thf(decl_855, type, esk727_0: product_prod_nat_nat). 3.27/3.54 thf(decl_856, type, esk728_0: product_prod_nat_nat). 3.27/3.54 thf(decl_857, type, esk729_0: product_prod_nat_nat). 3.27/3.54 thf(decl_858, type, esk730_0: product_prod_nat_nat). 3.27/3.54 thf(decl_859, type, esk731_1: product_prod_nat_nat > product_prod_nat_nat). 3.27/3.54 thf(decl_860, type, esk732_0: product_prod_nat_nat). 3.27/3.54 thf(decl_861, type, esk733_0: product_prod_nat_nat). 3.27/3.54 thf(decl_862, type, esk734_0: product_prod_nat_nat). 3.27/3.54 thf(decl_863, type, esk735_0: product_prod_nat_nat). 3.27/3.54 thf(decl_864, type, esk736_0: product_prod_nat_nat). 3.27/3.54 thf(decl_865, type, esk737_0: product_prod_nat_nat). 3.27/3.54 thf(decl_866, type, esk738_0: product_prod_nat_nat). 3.27/3.54 thf(decl_867, type, esk739_0: product_prod_nat_nat). 3.27/3.54 thf(decl_868, type, esk740_0: product_prod_nat_nat). 3.27/3.54 thf(decl_869, type, esk741_0: product_prod_nat_nat). 3.27/3.54 thf(decl_870, type, esk742_0: product_prod_nat_nat). 3.27/3.54 thf(decl_871, type, esk743_0: product_prod_nat_nat). 3.27/3.54 thf(decl_872, type, esk744_0: product_prod_nat_nat). 3.27/3.54 thf(decl_873, type, esk745_0: product_prod_nat_nat). 3.27/3.54 thf(decl_874, type, esk746_0: product_prod_nat_nat). 3.27/3.54 thf(decl_875, type, esk747_0: product_prod_nat_nat). 3.27/3.54 thf(decl_876, type, esk748_0: product_prod_nat_nat). 3.27/3.54 thf(decl_877, type, esk749_0: product_prod_nat_nat). 3.27/3.54 thf(decl_878, type, esk750_0: product_prod_nat_nat). 3.27/3.54 thf(decl_879, type, esk751_0: product_prod_nat_nat). 3.27/3.54 thf(decl_880, type, esk752_0: product_prod_nat_nat). 3.27/3.54 thf(decl_881, type, esk753_0: product_prod_nat_nat). 3.27/3.54 thf(decl_882, type, esk754_1: real > product_prod_nat_nat). 3.27/3.54 thf(decl_883, type, esk755_0: product_prod_nat_nat). 3.27/3.54 thf(decl_884, type, esk756_0: product_prod_nat_nat). 3.27/3.54 thf(decl_885, type, esk757_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_886, type, esk758_4: real > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_887, type, esk759_4: real > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_888, type, esk760_2: real > (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.54 thf(decl_889, type, esk761_4: (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > real > real > product_prod_nat_nat). 3.27/3.54 thf(decl_890, type, esk762_4: real > (product_prod_nat_nat > real) > (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_891, type, esk763_0: product_prod_nat_nat). 3.27/3.54 thf(decl_892, type, esk764_0: product_prod_nat_nat). 3.27/3.54 thf(decl_893, type, esk765_0: product_prod_nat_nat). 3.27/3.54 thf(decl_894, type, esk766_0: product_prod_nat_nat). 3.27/3.54 thf(decl_895, type, esk767_0: product_prod_nat_nat). 3.27/3.54 thf(decl_896, type, esk768_0: product_prod_nat_nat). 3.27/3.54 thf(decl_897, type, esk769_0: product_prod_nat_nat). 3.27/3.54 thf(decl_898, type, esk770_0: product_prod_nat_nat). 3.27/3.54 thf(decl_899, type, esk771_0: product_prod_nat_nat). 3.27/3.54 thf(decl_900, type, esk772_0: product_prod_nat_nat). 3.27/3.54 thf(decl_901, type, esk773_0: product_prod_nat_nat). 3.27/3.54 thf(decl_902, type, esk774_0: product_prod_nat_nat). 3.27/3.54 thf(decl_903, type, esk775_0: product_prod_nat_nat). 3.27/3.54 thf(decl_904, type, esk776_0: product_prod_nat_nat). 3.27/3.54 thf(decl_905, type, esk777_0: product_prod_nat_nat). 3.27/3.54 thf(decl_906, type, esk778_0: product_prod_nat_nat). 3.27/3.54 thf(decl_907, type, esk779_0: product_prod_nat_nat). 3.27/3.54 thf(decl_908, type, esk780_0: product_prod_nat_nat). 3.27/3.54 thf(decl_909, type, esk781_0: product_prod_nat_nat). 3.27/3.54 thf(decl_910, type, esk782_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.54 thf(decl_911, type, esk783_1: (product_prod_nat_nat > real) > product_prod_nat_nat). 3.27/3.54 thf(decl_912, type, esk784_0: product_prod_nat_nat). 3.27/3.54 thf(decl_913, type, esk785_0: product_prod_nat_nat). 3.27/3.54 thf(decl_914, type, esk786_0: product_prod_nat_nat). 3.27/3.54 thf(decl_915, type, esk787_0: product_prod_nat_nat). 3.27/3.54 thf(decl_916, type, esk788_0: product_prod_nat_nat). 3.27/3.54 thf(decl_917, type, esk789_0: product_prod_nat_nat). 3.27/3.54 thf(decl_918, type, esk790_0: product_prod_nat_nat). 3.27/3.54 thf(decl_919, type, esk791_0: product_prod_nat_nat). 3.27/3.54 thf(decl_920, type, esk792_0: product_prod_nat_nat). 3.27/3.54 thf(decl_921, type, esk793_0: product_prod_nat_nat). 3.27/3.54 thf(decl_922, type, esk794_0: product_prod_nat_nat). 3.27/3.54 thf(decl_923, type, esk795_0: product_prod_nat_nat). 3.27/3.54 thf(decl_924, type, esk796_0: product_prod_nat_nat). 3.27/3.54 thf(decl_925, type, esk797_0: product_prod_nat_nat). 3.27/3.54 thf(decl_926, type, esk798_0: product_prod_nat_nat). 3.27/3.54 thf(decl_927, type, esk799_0: product_prod_nat_nat). 3.27/3.54 thf(decl_928, type, esk800_0: product_prod_nat_nat). 3.27/3.54 thf(decl_929, type, esk801_0: product_prod_nat_nat). 3.27/3.54 thf(decl_930, type, esk802_1: real > product_prod_nat_nat). 3.27/3.54 thf(decl_931, type, esk803_1: real > product_prod_nat_nat). 3.27/3.54 thf(decl_932, type, esk804_0: product_prod_nat_nat). 3.27/3.54 thf(decl_933, type, esk805_0: product_prod_nat_nat). 3.27/3.54 thf(decl_934, type, esk806_0: product_prod_nat_nat). 3.27/3.54 thf(decl_935, type, esk807_0: product_prod_nat_nat). 3.27/3.54 thf(decl_936, type, esk808_0: product_prod_nat_nat). 3.27/3.54 thf(decl_937, type, esk809_0: product_prod_nat_nat). 3.27/3.54 thf(decl_938, type, esk810_0: product_prod_nat_nat). 3.27/3.54 thf(decl_939, type, esk811_0: product_prod_nat_nat). 3.27/3.54 thf(decl_940, type, esk812_0: product_prod_nat_nat). 3.27/3.54 thf(decl_941, type, esk813_0: product_prod_nat_nat). 3.27/3.54 thf(decl_942, type, esk814_0: product_prod_nat_nat). 3.27/3.54 thf(decl_943, type, esk815_0: product_prod_nat_nat). 3.27/3.54 thf(decl_944, type, esk816_0: product_prod_nat_nat). 3.27/3.54 thf(decl_945, type, esk817_0: product_prod_nat_nat). 3.27/3.54 thf(decl_946, type, esk818_0: product_prod_nat_nat). 3.27/3.54 thf(decl_947, type, esk819_0: product_prod_nat_nat). 3.27/3.54 thf(decl_948, type, esk820_0: product_prod_nat_nat). 3.27/3.54 thf(decl_949, type, esk821_0: product_prod_nat_nat). 3.27/3.54 thf(decl_950, type, esk822_0: product_prod_nat_nat). 3.27/3.54 thf(decl_951, type, esk823_0: product_prod_nat_nat). 3.27/3.54 thf(decl_952, type, esk824_0: product_prod_nat_nat). 3.27/3.54 thf(decl_953, type, esk825_0: product_prod_nat_nat). 3.27/3.54 thf(decl_954, type, esk826_0: product_prod_nat_nat). 3.27/3.54 thf(decl_955, type, esk827_0: product_prod_nat_nat). 3.27/3.54 thf(decl_956, type, esk828_0: product_prod_nat_nat). 3.27/3.54 thf(decl_957, type, esk829_0: product_prod_nat_nat). 3.27/3.54 thf(decl_958, type, esk830_0: product_prod_nat_nat). 3.27/3.54 thf(decl_959, type, esk831_0: product_prod_nat_nat). 3.27/3.54 thf(decl_960, type, esk832_0: product_prod_nat_nat). 3.27/3.54 thf(decl_961, type, esk833_1: (product_prod_nat_nat > nat) > product_prod_nat_nat). 3.27/3.54 thf(decl_962, type, esk834_0: product_prod_nat_nat). 3.27/3.54 thf(decl_963, type, esk835_0: product_prod_nat_nat). 3.27/3.54 thf(decl_964, type, esk836_0: product_prod_nat_nat). 3.27/3.54 thf(decl_965, type, esk837_0: product_prod_nat_nat). 3.27/3.54 thf(decl_966, type, esk838_0: product_prod_nat_nat). 3.27/3.54 thf(decl_967, type, esk839_0: product_prod_nat_nat). 3.27/3.54 thf(decl_968, type, esk840_0: product_prod_nat_nat). 3.27/3.54 thf(decl_969, type, esk841_0: product_prod_nat_nat). 3.27/3.54 thf(decl_970, type, esk842_0: product_prod_nat_nat). 3.27/3.54 thf(decl_971, type, esk843_0: product_prod_nat_nat). 3.27/3.54 thf(decl_972, type, esk844_0: product_prod_nat_nat). 3.27/3.54 thf(decl_973, type, esk845_0: product_prod_nat_nat). 3.27/3.54 thf(decl_974, type, esk846_0: product_prod_nat_nat). 3.27/3.54 thf(decl_975, type, esk847_0: product_prod_nat_nat). 3.27/3.54 thf(decl_976, type, esk848_0: product_prod_nat_nat). 3.27/3.54 thf(decl_977, type, esk849_0: product_prod_nat_nat). 3.27/3.54 thf(decl_978, type, esk850_0: product_prod_nat_nat). 3.27/3.54 thf(decl_979, type, esk851_0: product_prod_nat_nat). 3.27/3.54 thf(decl_980, type, esk852_0: product_prod_nat_nat). 3.27/3.54 thf(decl_981, type, esk853_0: product_prod_nat_nat). 3.27/3.54 thf(decl_982, type, esk854_0: product_prod_nat_nat). 3.27/3.54 thf(decl_983, type, esk855_0: product_prod_nat_nat). 3.27/3.54 thf(decl_984, type, esk856_0: product_prod_nat_nat). 3.27/3.54 thf(decl_985, type, esk857_0: product_prod_nat_nat). 3.27/3.54 thf(decl_986, type, esk858_0: product_prod_nat_nat). 3.27/3.54 thf(decl_987, type, esk859_0: product_prod_nat_nat). 3.27/3.54 thf(decl_988, type, esk860_0: product_prod_nat_nat). 3.27/3.54 thf(decl_989, type, esk861_0: product_prod_nat_nat). 3.27/3.54 thf(decl_990, type, esk862_0: product_prod_nat_nat). 3.27/3.54 thf(decl_991, type, esk863_0: product_prod_nat_nat). 3.27/3.54 thf(decl_992, type, esk864_0: product_prod_nat_nat). 3.27/3.54 thf(decl_993, type, esk865_0: product_prod_nat_nat). 3.27/3.54 thf(decl_994, type, esk866_0: product_prod_nat_nat). 3.27/3.54 thf(decl_995, type, esk867_0: product_prod_nat_nat). 3.27/3.54 thf(decl_996, type, esk868_0: product_prod_nat_nat). 3.27/3.54 thf(decl_997, type, esk869_0: product_prod_nat_nat). 3.27/3.54 thf(decl_998, type, esk870_0: product_prod_nat_nat). 3.27/3.54 thf(decl_999, type, esk871_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1000, type, esk872_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1001, type, esk873_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1002, type, esk874_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1003, type, esk875_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1004, type, esk876_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1005, type, esk877_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1006, type, esk878_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1007, type, esk879_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1008, type, esk880_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1009, type, esk881_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1010, type, esk882_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1011, type, esk883_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1012, type, esk884_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1013, type, esk885_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1014, type, esk886_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1015, type, esk887_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1016, type, esk888_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1017, type, esk889_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1018, type, esk890_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1019, type, esk891_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1020, type, esk892_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1021, type, esk893_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1022, type, esk894_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1023, type, esk895_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1024, type, esk896_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1025, type, esk897_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1026, type, esk898_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1027, type, esk899_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1028, type, esk900_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1029, type, esk901_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1030, type, esk902_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1031, type, esk903_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1032, type, esk904_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1033, type, esk905_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1034, type, esk906_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1035, type, esk907_1: real > product_prod_nat_nat). 3.27/3.54 thf(decl_1036, type, esk908_1: real > product_prod_nat_nat). 3.27/3.54 thf(decl_1037, type, esk909_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1038, type, esk910_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1039, type, esk911_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1040, type, esk912_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1041, type, esk913_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1042, type, esk914_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1043, type, esk915_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1044, type, esk916_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1045, type, esk917_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1046, type, esk918_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1047, type, esk919_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1048, type, esk920_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1049, type, esk921_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1050, type, esk922_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1051, type, esk923_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1052, type, esk924_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1053, type, esk925_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1054, type, esk926_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1055, type, esk927_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1056, type, esk928_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1057, type, esk929_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1058, type, esk930_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1059, type, esk931_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1060, type, esk932_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1061, type, esk933_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1062, type, esk934_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1063, type, esk935_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1064, type, esk936_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1065, type, esk937_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1066, type, esk938_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1067, type, esk939_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1068, type, esk940_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1069, type, esk941_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1070, type, esk942_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1071, type, esk943_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1072, type, esk944_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1073, type, esk945_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1074, type, esk946_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1075, type, esk947_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1076, type, esk948_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1077, type, esk949_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1078, type, esk950_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1079, type, esk951_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1080, type, esk952_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1081, type, esk953_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1082, type, esk954_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1083, type, esk955_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1084, type, esk956_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1085, type, esk957_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1086, type, esk958_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1087, type, esk959_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1088, type, esk960_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1089, type, esk961_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1090, type, esk962_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1091, type, esk963_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1092, type, esk964_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1093, type, esk965_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1094, type, esk966_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1095, type, esk967_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1096, type, esk968_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1097, type, esk969_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1098, type, esk970_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1099, type, esk971_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1100, type, esk972_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1101, type, esk973_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1102, type, esk974_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1103, type, esk975_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1104, type, esk976_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1105, type, esk977_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1106, type, esk978_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1107, type, esk979_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1108, type, esk980_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1109, type, esk981_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1110, type, esk982_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1111, type, esk983_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1112, type, esk984_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1113, type, esk985_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1114, type, esk986_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1115, type, esk987_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1116, type, esk988_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1117, type, esk989_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1118, type, esk990_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1119, type, esk991_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1120, type, esk992_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1121, type, esk993_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1122, type, esk994_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1123, type, esk995_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_1124, type, esk996_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1125, type, esk997_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1126, type, esk998_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_1127, type, esk999_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1128, type, esk1000_0: product_prod_nat_nat). 3.27/3.54 thf(decl_1129, type, esk1001_2: (product_prod_nat_nat > real) > real > product_prod_nat_nat). 3.27/3.54 thf(decl_1130, type, esk1002_0: product_prod_nat_nat). 3.27/3.54 thf(fact_490_vector__space__over__itself_Oscale__sum__right, axiom, ![X612:real, X613:product_prod_nat_nat > real, X614:set_Pr1261947904930325089at_nat]:(((times_times_real @ X612 @ (groups4567486121110086003t_real @ X613 @ X614))=(groups4567486121110086003t_real @ (^[X615:product_prod_nat_nat]:(times_times_real @ X612 @ (X613 @ X615))) @ X614))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_490_vector__space__over__itself_Oscale__sum__right)). 3.27/3.54 thf(fact_1_b, axiom, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (groups4567486121110086003t_real @ (^[X1:product_prod_nat_nat]:(power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k))) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (frequency_Moment_M_1 @ as))) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_1_b)). 3.27/3.54 thf(fact_130_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_130_Suc__1)). 3.27/3.54 thf(fact_915_One__nat__def, axiom, ((one_one_nat)=(suc @ zero_zero_nat)), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_915_One__nat__def)). 3.27/3.54 thf(fact_496__092_060open_062_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_A_Ireal_A_Ilength_Aas_J_A_K_Areal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_A_K_Apmf_A_Ipmf__of__set_Alocal_OM_092_060_094sub_0621_J_Aa_J_A_061_A_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_Areal_A_Ilength_Aas_J_A_K_A_Ireal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_J_092_060close_062, axiom, ((groups4567486121110086003t_real @ (^[X1:product_prod_nat_nat]:(times_times_real @ (power_power_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k)))) @ (numeral_numeral_nat @ (bit0 @ one))) @ (probab6340220560829807468at_nat @ (probab508924422549804617at_nat @ (frequency_Moment_M_1 @ as)) @ X1))) @ (frequency_Moment_M_1 @ as))=(groups4567486121110086003t_real @ (^[X1:product_prod_nat_nat]:(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (frequency_Moment_M_1 @ as))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_496__092_060open_062_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_A_Ireal_A_Ilength_Aas_J_A_K_Areal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_A_K_Apmf_A_Ipmf__of__set_Alocal_OM_092_060_094sub_0621_J_Aa_J_A_061_A_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_Areal_A_Ilength_Aas_J_A_K_A_Ireal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_J_092_060close_062)). 3.27/3.54 thf(conj_0, conjecture, (ord_less_eq_real @ (groups4567486121110086003t_real @ (^[X1:product_prod_nat_nat]:(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (frequency_Moment_M_1 @ as)) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', conj_0)). 3.27/3.54 thf(fact_121_of__nat__power, axiom, ![X119:nat, X4:nat]:(((semiri5074537144036343181t_real @ (power_power_nat @ X119 @ X4))=(power_power_real @ (semiri5074537144036343181t_real @ X119) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.925qEdhOJZ/Vampire---4.8_4417', fact_121_of__nat__power)). 3.27/3.54 thf(c_0_7, plain, ![X612:real, X613:product_prod_nat_nat > real, X614:set_Pr1261947904930325089at_nat]:(((times_times_real @ X612 @ (groups4567486121110086003t_real @ X613 @ X614))=(groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(times_times_real @ X612 @ (X613 @ Z0))) @ X614))), inference(fof_simplification,[status(thm)],[fact_490_vector__space__over__itself_Oscale__sum__right])). 3.27/3.54 thf(c_0_8, plain, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ Z0)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ Z0) @ k))) @ (numeral_numeral_nat @ (bit0 @ one)))) @ (frequency_Moment_M_1 @ as))) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))), inference(fof_simplification,[status(thm)],[fact_1_b])). 3.27/3.54 thf(c_0_9, plain, ![X5628:product_prod_nat_nat]:(((esk140_0 @ X5628)=(power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X5628)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X5628) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))), introduced(definition)). 3.27/3.54 thf(c_0_10, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_130_Suc__1])). 3.27/3.54 thf(c_0_11, plain, ((one_one_nat)=(suc @ zero_zero_nat)), inference(split_conjunct,[status(thm)],[fact_915_One__nat__def])). 3.27/3.54 thf(c_0_12, plain, ((groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(times_times_real @ (power_power_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ Z0)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ Z0) @ k)))) @ (numeral_numeral_nat @ (bit0 @ one))) @ (probab6340220560829807468at_nat @ (probab508924422549804617at_nat @ (frequency_Moment_M_1 @ as)) @ Z0))) @ (frequency_Moment_M_1 @ as))=(groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ Z0)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ Z0) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (frequency_Moment_M_1 @ as))), inference(fof_simplification,[status(thm)],[fact_496__092_060open_062_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_A_Ireal_A_Ilength_Aas_J_A_K_Areal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_A_K_Apmf_A_Ipmf__of__set_Alocal_OM_092_060_094sub_0621_J_Aa_J_A_061_A_I_092_060Sum_062a_092_060in_062local_OM_092_060_094sub_0621_O_Areal_A_Ilength_Aas_J_A_K_A_Ireal_A_ISuc_A_Isnd_Aa_J_A_094_Ak_A_N_Asnd_Aa_A_094_Ak_J_J_092_060_094sup_0622_J_092_060close_062])). 3.27/3.54 thf(c_0_13, plain, ![X5596:product_prod_nat_nat]:(((esk129_0 @ X5596)=(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X5596)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X5596) @ k))) @ (numeral_numeral_nat @ (bit0 @ one)))))), introduced(definition)). 3.27/3.54 thf(c_0_14, plain, ![X5653:product_prod_nat_nat]:(((esk144_0 @ X5653)=(times_times_real @ (power_power_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X5653)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X5653) @ k)))) @ (numeral_numeral_nat @ (bit0 @ one))) @ (probab6340220560829807468at_nat @ (probab508924422549804617at_nat @ (frequency_Moment_M_1 @ as)) @ X5653)))), introduced(definition)). 3.27/3.54 thf(c_0_15, plain, ![X3801:real, X3802:product_prod_nat_nat > real, X3803:set_Pr1261947904930325089at_nat]:(((times_times_real @ X3801 @ (groups4567486121110086003t_real @ X3802 @ X3803))=(groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(times_times_real @ X3801 @ (X3802 @ Z0))) @ X3803))), inference(variable_rename,[status(thm)],[c_0_7])). 3.27/3.54 thf(c_0_16, plain, ![X5601:product_prod_nat_nat, X17:real, X272:product_prod_nat_nat > real]:(((esk133_2 @ X272 @ X17 @ X5601)=(times_times_real @ X17 @ (X272 @ X5601)))), introduced(definition)). 3.27/3.54 thf(c_0_17, negated_conjecture, ~(ord_less_eq_real @ (groups4567486121110086003t_real @ (^[Z0:product_prod_nat_nat]:(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ Z0)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ Z0) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ (frequency_Moment_M_1 @ as)) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 3.27/3.54 thf(c_0_18, plain, ![X5727:product_prod_nat_nat]:(((esk140_0 @ X5727)=(power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X5727)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X5727) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))), inference(variable_rename,[status(thm)],[])). 3.27/3.54 thf(c_0_19, plain, ![X4001:nat, X4002:nat]:(((semiri5074537144036343181t_real @ (power_power_nat @ X4001 @ X4002))=(power_power_real @ (semiri5074537144036343181t_real @ X4001) @ X4002))), inference(variable_rename,[status(thm)],[fact_121_of__nat__power])). 3.27/3.54 thf(c_0_20, plain, (((ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (groups4567486121110086003t_real @ esk140_0 @ (frequency_Moment_M_1 @ as))) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8]), c_0_9])). 3.27/3.54 thf(c_0_21, plain, ((numeral_numeral_nat @ (bit0 @ one))=(suc @ (suc @ zero_zero_nat))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 3.27/3.54 thf(c_0_22, plain, ((groups4567486121110086003t_real @ esk144_0 @ (frequency_Moment_M_1 @ as))=(groups4567486121110086003t_real @ esk129_0 @ (frequency_Moment_M_1 @ as))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12]), c_0_13]), c_0_14])). 3.27/3.54 thf(c_0_23, plain, ![X17:real, X272:product_prod_nat_nat > real, X274:set_Pr1261947904930325089at_nat]:(((times_times_real @ X17 @ (groups4567486121110086003t_real @ X272 @ X274))=(groups4567486121110086003t_real @ (esk133_2 @ X272 @ X17) @ X274))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 3.27/3.54 thf(c_0_24, negated_conjecture, ~((((ord_less_eq_real @ (groups4567486121110086003t_real @ esk129_0 @ (frequency_Moment_M_1 @ as)) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_17]), c_0_13])). 3.27/3.54 thf(c_0_25, plain, ![X5698:product_prod_nat_nat]:(((esk129_0 @ X5698)=(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X5698)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X5698) @ k))) @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(variable_rename,[status(thm)],[])). 3.27/3.54 thf(c_0_26, plain, ![X1:product_prod_nat_nat]:(((esk140_0 @ X1)=(power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k))) @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[c_0_18])). 3.27/3.54 thf(c_0_27, plain, ![X4:nat, X5:nat]:(((semiri5074537144036343181t_real @ (power_power_nat @ X4 @ X5))=(power_power_real @ (semiri5074537144036343181t_real @ X4) @ X5))), inference(split_conjunct,[status(thm)],[c_0_19])). 3.27/3.54 thf(c_0_28, plain, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (groups4567486121110086003t_real @ esk140_0 @ (frequency_Moment_M_1 @ as))) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (suc @ (suc @ zero_zero_nat))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k))))))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_20]), c_0_21])). 3.27/3.54 thf(c_0_29, plain, ![X272:product_prod_nat_nat > real, X17:real]:((((times_times_real @ X17 @ (groups4567486121110086003t_real @ X272 @ (frequency_Moment_M_1 @ as)))=(groups4567486121110086003t_real @ esk129_0 @ (frequency_Moment_M_1 @ as)))|((esk129_0)!=(esk133_2 @ X272 @ X17)))), inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_22, c_0_23]), c_0_22])])). 3.27/3.54 thf(c_0_30, negated_conjecture, ~((ord_less_eq_real @ (groups4567486121110086003t_real @ esk129_0 @ (frequency_Moment_M_1 @ as)) @ (times_times_real @ (semiri5074537144036343181t_real @ k) @ (times_times_real @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (suc @ (suc @ zero_zero_nat))) @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))))))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_24]), c_0_21])). 3.27/3.54 thf(c_0_31, plain, ![X5707:product_prod_nat_nat, X5708:real, X5709:product_prod_nat_nat > real]:(((esk133_2 @ X5709 @ X5708 @ X5707)=(times_times_real @ X5708 @ (X5709 @ X5707)))), inference(variable_rename,[status(thm)],[])). 3.27/3.54 thf(c_0_32, plain, ![X1:product_prod_nat_nat]:(((esk129_0 @ X1)=(times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (power_power_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k))) @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(split_conjunct,[status(thm)],[c_0_25])). 3.27/3.54 thf(c_0_33, plain, ![X1:product_prod_nat_nat]:(((semiri5074537144036343181t_real @ (power_power_nat @ (minus_minus_nat @ (power_power_nat @ (suc @ (product_snd_nat_nat @ X1)) @ k) @ (power_power_nat @ (product_snd_nat_nat @ X1) @ k)) @ (suc @ (suc @ zero_zero_nat))))=(esk140_0 @ X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_21]), c_0_27])). 3.27/3.54 thf(c_0_34, plain, ((esk133_2 @ esk140_0 @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)))!=(esk129_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])). 3.27/3.54 thf(c_0_35, plain, ![X272:product_prod_nat_nat > real, X17:real, X1:product_prod_nat_nat]:(((esk133_2 @ X272 @ X17 @ X1)=(times_times_real @ X17 @ (X272 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_31])). 3.27/3.54 thf(c_0_36, plain, ![X1:product_prod_nat_nat]:(((times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (esk140_0 @ X1))=(esk129_0 @ X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_21]), c_0_27]), c_0_33])). 3.27/3.54 thf(c_0_37, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_34]), c_0_35]), c_0_36])]), ['proof']). 3.27/3.54 # SZS output end CNFRefutation 3.27/3.54 # Parsed axioms : 1170 3.27/3.54 # Removed by relevancy pruning/SinE : 166 3.27/3.54 # Initial clauses : 1606 3.27/3.54 # Removed in clause preprocessing : 53 3.27/3.54 # Initial clauses in saturation : 1553 3.27/3.54 # Processed clauses : 19103 3.27/3.54 # ...of these trivial : 339 3.27/3.54 # ...subsumed : 12830 3.27/3.54 # ...remaining for further processing : 5934 3.27/3.54 # Other redundant clauses eliminated : 849 3.27/3.54 # Clauses deleted for lack of memory : 0 3.27/3.54 # Backward-subsumed : 251 3.27/3.54 # Backward-rewritten : 113 3.27/3.54 # Generated clauses : 181163 3.27/3.54 # ...of the previous two non-redundant : 159790 3.27/3.54 # ...aggressively subsumed : 0 3.27/3.54 # Contextual simplify-reflections : 79 3.27/3.54 # Paramodulations : 178985 3.27/3.54 # Factorizations : 43 3.27/3.54 # NegExts : 839 3.27/3.54 # Equation resolutions : 890 3.27/3.54 # Propositional unsat checks : 1 3.27/3.54 # Propositional check models : 0 3.27/3.54 # Propositional check unsatisfiable : 0 3.27/3.54 # Propositional clauses : 0 3.27/3.54 # Propositional clauses after purity: 0 3.27/3.54 # Propositional unsat core size : 0 3.27/3.54 # Propositional preprocessing time : 0.000 3.27/3.54 # Propositional encoding time : 0.097 3.27/3.54 # Propositional solver time : 0.048 3.27/3.54 # Success case prop preproc time : 0.000 3.27/3.54 # Success case prop encoding time : 0.000 3.27/3.54 # Success case prop solver time : 0.000 3.27/3.54 # Current number of processed clauses : 4390 3.27/3.54 # Positive orientable unit clauses : 481 3.27/3.54 # Positive unorientable unit clauses: 34 3.27/3.54 # Negative unit clauses : 251 3.27/3.54 # Non-unit-clauses : 3624 3.27/3.54 # Current number of unprocessed clauses: 142764 3.27/3.54 # ...number of literals in the above : 510821 3.27/3.54 # Current number of archived formulas : 0 3.27/3.54 # Current number of archived clauses : 1355 3.27/3.54 # Clause-clause subsumption calls (NU) : 2700531 3.27/3.54 # Rec. Clause-clause subsumption calls : 1346559 3.27/3.54 # Non-unit clause-clause subsumptions : 7356 3.27/3.54 # Unit Clause-clause subsumption calls : 161415 3.27/3.54 # Rewrite failures with RHS unbound : 27 3.27/3.54 # BW rewrite match attempts : 762 3.27/3.54 # BW rewrite match successes : 330 3.27/3.54 # Condensation attempts : 0 3.27/3.54 # Condensation successes : 0 3.27/3.54 # Termbank termtop insertions : 3382407 3.27/3.54 3.27/3.54 # ------------------------------------------------- 3.27/3.54 # User time : 2.733 s 3.27/3.54 # System time : 0.097 s 3.27/3.54 # Total time : 2.830 s 3.27/3.54 # Maximum resident set size: 9232 pages 3.27/3.54 3.27/3.54 # ------------------------------------------------- 3.27/3.54 # User time : 2.771 s 3.27/3.54 # System time : 0.102 s 3.27/3.54 # Total time : 2.873 s 3.27/3.54 # Maximum resident set size: 3728 pages 3.27/3.54 EOF