0.10/0.21 % Problem : SLH0179^1 : TPTP v8.2.0. Released v8.2.0. 0.10/0.22 % Command : run_E %s %d THM 0.21/0.43 % Computer : n007.cluster.edu 0.21/0.43 % Model : x86_64 x86_64 0.21/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.21/0.43 % Memory : 8042.1875MB 0.21/0.43 % OS : Linux 3.10.0-693.el7.x86_64 0.21/0.43 % CPULimit : 30 0.21/0.43 % WCLimit : 30 0.21/0.43 % DateTime : Mon Jul 3 09:34:58 EDT 2023 0.21/0.43 % CPUTime : 0.27/0.55 The problem SPC is TH0_THM_EQU_NAR 0.27/0.55 Running higher-order on 1 cores theorem proving 0.27/0.55 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.EEifhyyzTo/Vampire---4.8_22989 0.27/0.55 # Version: 3.0pre003-ho 0.41/0.73 # Preprocessing class: HMLSSMSMSSSNSFA. 0.41/0.73 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.41/0.73 # Starting sh3 with 30s (1) cores 0.41/0.73 # sh3 with pid 23169 completed with status 0 0.41/0.73 # Result found by sh3 0.41/0.73 # Preprocessing class: HMLSSMSMSSSNSFA. 0.41/0.73 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.41/0.73 # Starting sh3 with 30s (1) cores 0.41/0.73 # No SInE strategy applied 0.41/0.73 # Search class: HGHSM-SSLM31-DSFFFFBN 0.41/0.73 # partial match(1): HGHSM-FSLM31-DSFFFFBN 0.41/0.73 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.41/0.73 # Starting lpo8_lambda_fix with 11s (1) cores 0.41/0.73 # lpo8_lambda_fix with pid 23170 completed with status 0 0.41/0.73 # Result found by lpo8_lambda_fix 0.41/0.73 # Preprocessing class: HMLSSMSMSSSNSFA. 0.41/0.73 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.41/0.73 # Starting sh3 with 30s (1) cores 0.41/0.73 # No SInE strategy applied 0.41/0.73 # Search class: HGHSM-SSLM31-DSFFFFBN 0.41/0.73 # partial match(1): HGHSM-FSLM31-DSFFFFBN 0.41/0.73 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.41/0.73 # Starting lpo8_lambda_fix with 11s (1) cores 0.41/0.73 # Preprocessing time : 0.015 s 0.41/0.73 # Presaturation interreduction done 0.41/0.73 0.41/0.73 # Proof found! 0.41/0.73 # SZS status Theorem 0.41/0.73 # SZS output start CNFRefutation 0.41/0.73 thf(decl_22, type, frequency_F_nat: nat > list_nat > rat). 0.41/0.73 thf(decl_23, type, minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat). 0.41/0.73 thf(decl_24, type, minus_minus_int: int > int > int). 0.41/0.73 thf(decl_25, type, minus_minus_nat: nat > nat > nat). 0.41/0.73 thf(decl_26, type, minus_minus_rat: rat > rat > rat). 0.41/0.73 thf(decl_27, type, minus_minus_real: real > real > real). 0.41/0.73 thf(decl_28, type, one_on7984719198319812577d_enat: extended_enat). 0.41/0.73 thf(decl_29, type, one_one_int: int). 0.41/0.73 thf(decl_30, type, one_one_nat: nat). 0.41/0.73 thf(decl_31, type, one_one_rat: rat). 0.41/0.73 thf(decl_32, type, one_one_real: real). 0.41/0.73 thf(decl_33, type, plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat). 0.41/0.73 thf(decl_34, type, plus_plus_int: int > int > int). 0.41/0.73 thf(decl_35, type, plus_plus_nat: nat > nat > nat). 0.41/0.73 thf(decl_36, type, plus_plus_num: num > num > num). 0.41/0.73 thf(decl_37, type, plus_plus_rat: rat > rat > rat). 0.41/0.73 thf(decl_38, type, plus_plus_real: real > real > real). 0.41/0.73 thf(decl_39, type, times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat). 0.41/0.73 thf(decl_40, type, times_times_int: int > int > int). 0.41/0.73 thf(decl_41, type, times_times_nat: nat > nat > nat). 0.41/0.73 thf(decl_42, type, times_times_num: num > num > num). 0.41/0.73 thf(decl_43, type, times_times_rat: rat > rat > rat). 0.41/0.73 thf(decl_44, type, times_times_real: real > real > real). 0.41/0.73 thf(decl_45, type, zero_z5237406670263579293d_enat: extended_enat). 0.41/0.73 thf(decl_46, type, zero_zero_int: int). 0.41/0.73 thf(decl_47, type, zero_zero_nat: nat). 0.41/0.73 thf(decl_48, type, zero_zero_rat: rat). 0.41/0.73 thf(decl_49, type, zero_zero_real: real). 0.41/0.73 thf(decl_50, type, if_Extended_enat: $o > extended_enat > extended_enat > extended_enat). 0.41/0.73 thf(decl_51, type, if_int: $o > int > int > int). 0.41/0.73 thf(decl_52, type, if_nat: $o > nat > nat > nat). 0.41/0.73 thf(decl_53, type, if_real: $o > real > real > real). 0.41/0.73 thf(decl_54, type, nil_nat: list_nat). 0.41/0.73 thf(decl_55, type, semiri4216267220026989637d_enat: nat > extended_enat). 0.41/0.73 thf(decl_56, type, semiri1314217659103216013at_int: nat > int). 0.41/0.73 thf(decl_57, type, semiri1316708129612266289at_nat: nat > nat). 0.41/0.73 thf(decl_58, type, semiri681578069525770553at_rat: nat > rat). 0.41/0.73 thf(decl_59, type, semiri5074537144036343181t_real: nat > real). 0.41/0.73 thf(decl_60, type, size_size_list_nat: list_nat > nat). 0.41/0.73 thf(decl_61, type, size_size_num: num > nat). 0.41/0.73 thf(decl_62, type, bit0: num > num). 0.41/0.73 thf(decl_63, type, one: num). 0.41/0.73 thf(decl_64, type, numera1916890842035813515d_enat: num > extended_enat). 0.41/0.73 thf(decl_65, type, numeral_numeral_int: num > int). 0.41/0.73 thf(decl_66, type, numeral_numeral_nat: num > nat). 0.41/0.73 thf(decl_67, type, numeral_numeral_rat: num > rat). 0.41/0.73 thf(decl_68, type, numeral_numeral_real: num > real). 0.41/0.73 thf(decl_69, type, ord_less_nat: nat > nat > $o). 0.41/0.73 thf(decl_70, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o). 0.41/0.73 thf(decl_71, type, ord_less_eq_int: int > int > $o). 0.41/0.73 thf(decl_72, type, ord_less_eq_nat: nat > nat > $o). 0.41/0.73 thf(decl_73, type, ord_less_eq_num: num > num > $o). 0.41/0.73 thf(decl_74, type, ord_less_eq_rat: rat > rat > $o). 0.41/0.73 thf(decl_75, type, ord_less_eq_real: real > real > $o). 0.41/0.73 thf(decl_76, type, power_8040749407984259932d_enat: extended_enat > nat > extended_enat). 0.41/0.73 thf(decl_77, type, power_power_int: int > nat > int). 0.41/0.73 thf(decl_78, type, power_power_nat: nat > nat > nat). 0.41/0.73 thf(decl_79, type, power_power_rat: rat > nat > rat). 0.41/0.73 thf(decl_80, type, power_power_real: real > nat > real). 0.41/0.73 thf(decl_81, type, field_7254667332652039916t_real: rat > real). 0.41/0.73 thf(decl_82, type, divide_divide_int: int > int > int). 0.41/0.73 thf(decl_83, type, divide_divide_nat: nat > nat > nat). 0.41/0.73 thf(decl_84, type, divide_divide_rat: rat > rat > rat). 0.41/0.73 thf(decl_85, type, divide_divide_real: real > real > real). 0.41/0.73 thf(decl_86, type, collect_real: (real > $o) > set_real). 0.41/0.73 thf(decl_87, type, powr_real: real > real > real). 0.41/0.73 thf(decl_88, type, member_real: real > set_real > $o). 0.41/0.73 thf(decl_89, type, m: nat). 0.41/0.73 thf(decl_90, type, as: list_nat). 0.41/0.73 thf(decl_91, type, k: nat). 0.41/0.73 thf(decl_92, type, n: nat). 0.41/0.73 thf(decl_93, type, esk1_2: set_real > real > real). 0.41/0.73 thf(decl_94, type, esk2_1: set_real > real). 0.41/0.73 thf(decl_95, type, esk3_2: set_real > real > real). 0.41/0.73 thf(decl_96, type, esk4_2: (nat > $o) > nat > nat). 0.41/0.73 thf(decl_97, type, esk5_1: (nat > $o) > nat). 0.41/0.73 thf(decl_98, type, esk6_2: nat > nat > nat). 0.41/0.73 thf(decl_99, type, esk7_2: nat > nat > nat). 0.41/0.73 thf(decl_100, type, esk8_1: int > nat). 0.41/0.73 thf(decl_101, type, esk9_1: int > nat). 0.41/0.73 thf(decl_102, type, esk10_3: int > int > (int > $o) > int). 0.41/0.73 thf(decl_103, type, esk11_2: (int > $o) > int > int). 0.41/0.73 thf(decl_104, type, esk12_2: (int > $o) > int > int). 0.41/0.73 thf(decl_105, type, esk13_3: int > int > (int > $o) > int). 0.41/0.73 thf(decl_106, type, esk14_2: int > int > nat). 0.41/0.73 thf(decl_107, type, esk15_1: int > nat). 0.41/0.73 thf(decl_108, type, esk16_1: int > nat). 0.41/0.73 thf(decl_109, type, esk17_1: (nat > $o) > nat). 0.41/0.73 thf(decl_110, type, esk18_1: (nat > $o) > nat). 0.41/0.73 thf(decl_111, type, esk19_1: (nat > nat) > nat). 0.41/0.73 thf(decl_112, type, esk20_1: (nat > nat) > nat). 0.41/0.73 thf(decl_113, type, esk21_1: (nat > $o) > nat). 0.41/0.73 thf(decl_114, type, esk22_1: (nat > $o) > nat). 0.41/0.73 thf(decl_115, type, esk23_2: (nat > $o) > nat > nat). 0.41/0.73 thf(decl_116, type, esk24_2: nat > nat > nat). 0.41/0.73 thf(decl_117, type, esk25_1: (nat > nat) > nat). 0.41/0.73 thf(decl_118, type, esk26_1: (nat > nat) > nat). 0.41/0.73 thf(decl_119, type, epred1_1: set_real > real > $o). 0.41/0.73 thf(fact_389_b, axiom, ((minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)=(plus_plus_nat @ (minus_minus_nat @ k @ one_one_nat) @ k)), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_389_b)). 0.41/0.73 thf(fact_184_numeral__One, axiom, ((numeral_numeral_nat @ one)=(one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_184_numeral__One)). 0.41/0.73 thf(conj_0, conjecture, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat) @ as))) @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', conj_0)). 0.41/0.73 thf(fact_5__092_060open_062real__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_Ik_A_N_A1_J_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A1_A_061_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062, axiom, ((times_times_real @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ k @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ one_one_real))=(powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k)))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_5__092_060open_062real__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_Ik_A_N_A1_J_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A1_A_061_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062)). 0.41/0.73 thf(fact_195_power2__eq__square, axiom, ![X15:real]:(((power_power_real @ X15 @ (numeral_numeral_nat @ (bit0 @ one)))=(times_times_real @ X15 @ X15))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_195_power2__eq__square)). 0.41/0.73 thf(fact_343_mult__of__nat__commute, axiom, ![X3:nat, X364:real]:(((times_times_real @ (semiri5074537144036343181t_real @ X3) @ X364)=(times_times_real @ X364 @ (semiri5074537144036343181t_real @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_343_mult__of__nat__commute)). 0.41/0.73 thf(fact_6__092_060open_062real_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_A_061_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_A_Ireal__of__rat_A_IF_Ak_Aas_J_J_092_060_094sup_0622_092_060close_062, axiom, ((times_times_real @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))))=(times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_6__092_060open_062real_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_A_061_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_A_Ireal__of__rat_A_IF_Ak_Aas_J_J_092_060_094sup_0622_092_060close_062)). 0.41/0.73 thf(fact_7__092_060open_062real_A_Ilength_Aas_J_A_K_Areal__of__rat_A_IF_A_I2_A_K_Ak_A_N_A1_J_Aas_J_A_092_060le_062_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062, axiom, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat) @ as))) @ (times_times_real @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))))), file('/export/starexec/sandbox2/tmp/tmp.EEifhyyzTo/Vampire---4.8_22989', fact_7__092_060open_062real_A_Ilength_Aas_J_A_K_Areal__of__rat_A_IF_A_I2_A_K_Ak_A_N_A1_J_Aas_J_A_092_060le_062_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062)). 0.41/0.73 thf(c_0_8, plain, ((minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)=(plus_plus_nat @ (minus_minus_nat @ k @ one_one_nat) @ k)), inference(split_conjunct,[status(thm)],[fact_389_b])). 0.41/0.73 thf(c_0_9, plain, ((numeral_numeral_nat @ one)=(one_one_nat)), inference(split_conjunct,[status(thm)],[fact_184_numeral__One])). 0.41/0.73 thf(c_0_10, negated_conjecture, ~(ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat) @ as))) @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.41/0.73 thf(c_0_11, plain, ((times_times_real @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ k @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ one_one_real))=(powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k)))), inference(split_conjunct,[status(thm)],[fact_5__092_060open_062real__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_Ik_A_N_A1_J_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A1_A_061_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062])). 0.41/0.73 thf(c_0_12, plain, ((minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ (numeral_numeral_nat @ one))=(plus_plus_nat @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one)) @ k)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9]), c_0_9])). 0.41/0.73 thf(c_0_13, plain, ![X3675:real]:(((power_power_real @ X3675 @ (numeral_numeral_nat @ (bit0 @ one)))=(times_times_real @ X3675 @ X3675))), inference(variable_rename,[status(thm)],[fact_195_power2__eq__square])). 0.41/0.73 thf(c_0_14, negated_conjecture, ~((ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat) @ as))) @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.41/0.73 thf(c_0_15, plain, ![X3949:nat, X3950:real]:(((times_times_real @ (semiri5074537144036343181t_real @ X3949) @ X3950)=(times_times_real @ X3950 @ (semiri5074537144036343181t_real @ X3949)))), inference(variable_rename,[status(thm)],[fact_343_mult__of__nat__commute])). 0.41/0.73 thf(c_0_16, plain, ((times_times_real @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))))=(times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_6__092_060open_062real_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_A_061_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_A_Ireal__of__rat_A_IF_Ak_Aas_J_J_092_060_094sup_0622_092_060close_062])). 0.41/0.73 thf(c_0_17, plain, ((powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (plus_plus_nat @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one)) @ k)) @ (semiri5074537144036343181t_real @ k)))=(times_times_real @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one))) @ (semiri5074537144036343181t_real @ k))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ one_one_real))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_9]), c_0_12]), c_0_9])). 0.41/0.73 thf(c_0_18, plain, ![X13:real]:(((power_power_real @ X13 @ (numeral_numeral_nat @ (bit0 @ one)))=(times_times_real @ X13 @ X13))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.41/0.73 thf(c_0_19, negated_conjecture, ~((ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (plus_plus_nat @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one)) @ k) @ as))) @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (power_power_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_9]), c_0_12])). 0.41/0.73 thf(c_0_20, plain, ![X13:real, X2:nat]:(((times_times_real @ (semiri5074537144036343181t_real @ X2) @ X13)=(times_times_real @ X13 @ (semiri5074537144036343181t_real @ X2)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.41/0.73 thf(c_0_21, plain, (ord_less_eq_real @ (times_times_real @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat) @ as))) @ (times_times_real @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ k) @ one_one_nat)) @ (semiri5074537144036343181t_real @ k))))), inference(split_conjunct,[status(thm)],[fact_7__092_060open_062real_A_Ilength_Aas_J_A_K_Areal__of__rat_A_IF_A_I2_A_K_Ak_A_N_A1_J_Aas_J_A_092_060le_062_Areal_An_Apowr_A_I1_A_N_A1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_I1_A_P_Areal_Ak_J_A_K_Areal__of__rat_A_IF_Ak_Aas_J_Apowr_A_Ireal_A_I2_A_K_Ak_A_N_A1_J_A_P_Areal_Ak_J_092_060close_062])). 0.41/0.73 thf(c_0_22, plain, ((times_times_real @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (times_times_real @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (divide_divide_real @ (semiri5074537144036343181t_real @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one))) @ (semiri5074537144036343181t_real @ k))) @ (powr_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ one_one_real)))=(times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (times_times_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_9]), c_0_12]), c_0_17]), c_0_18])). 0.41/0.73 thf(c_0_23, negated_conjecture, ~((ord_less_eq_real @ (times_times_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ (plus_plus_nat @ (minus_minus_nat @ k @ (numeral_numeral_nat @ one)) @ k) @ as)) @ (semiri5074537144036343181t_real @ (size_size_list_nat @ as))) @ (times_times_real @ (powr_real @ (semiri5074537144036343181t_real @ n) @ (minus_minus_real @ one_one_real @ (divide_divide_real @ one_one_real @ (semiri5074537144036343181t_real @ k)))) @ (times_times_real @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)) @ (field_7254667332652039916t_real @ (frequency_F_nat @ k @ as)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_18])). 0.41/0.73 thf(c_0_24, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_9]), c_0_12]), c_0_20]), c_0_9]), c_0_12]), c_0_17]), c_0_22]), c_0_23]), ['proof']). 0.41/0.73 # SZS output end CNFRefutation 0.41/0.73 # Parsed axioms : 1124 0.41/0.73 # Removed by relevancy pruning/SinE : 0 0.41/0.73 # Initial clauses : 1517 0.41/0.73 # Removed in clause preprocessing : 121 0.41/0.73 # Initial clauses in saturation : 1396 0.41/0.73 # Processed clauses : 773 0.41/0.73 # ...of these trivial : 78 0.41/0.73 # ...subsumed : 112 0.41/0.73 # ...remaining for further processing : 582 0.41/0.73 # Other redundant clauses eliminated : 145 0.41/0.73 # Clauses deleted for lack of memory : 0 0.41/0.73 # Backward-subsumed : 13 0.41/0.73 # Backward-rewritten : 41 0.41/0.73 # Generated clauses : 137 0.41/0.73 # ...of the previous two non-redundant : 36 0.41/0.73 # ...aggressively subsumed : 0 0.41/0.73 # Contextual simplify-reflections : 0 0.41/0.73 # Paramodulations : 0 0.41/0.73 # Factorizations : 0 0.41/0.73 # NegExts : 0 0.41/0.73 # Equation resolutions : 145 0.41/0.73 # Propositional unsat checks : 0 0.41/0.73 # Propositional check models : 0 0.41/0.73 # Propositional check unsatisfiable : 0 0.41/0.73 # Propositional clauses : 0 0.41/0.73 # Propositional clauses after purity: 0 0.41/0.73 # Propositional unsat core size : 0 0.41/0.73 # Propositional preprocessing time : 0.000 0.41/0.73 # Propositional encoding time : 0.000 0.41/0.73 # Propositional solver time : 0.000 0.41/0.73 # Success case prop preproc time : 0.000 0.41/0.73 # Success case prop encoding time : 0.000 0.41/0.73 # Success case prop solver time : 0.000 0.41/0.73 # Current number of processed clauses : 391 0.41/0.73 # Positive orientable unit clauses : 168 0.41/0.73 # Positive unorientable unit clauses: 10 0.41/0.73 # Negative unit clauses : 20 0.41/0.73 # Non-unit-clauses : 193 0.41/0.73 # Current number of unprocessed clauses: 659 0.41/0.73 # ...number of literals in the above : 1484 0.41/0.73 # Current number of archived formulas : 0 0.41/0.73 # Current number of archived clauses : 54 0.41/0.73 # Clause-clause subsumption calls (NU) : 10208 0.41/0.73 # Rec. Clause-clause subsumption calls : 7943 0.41/0.73 # Non-unit clause-clause subsumptions : 93 0.41/0.73 # Unit Clause-clause subsumption calls : 280 0.41/0.73 # Rewrite failures with RHS unbound : 0 0.41/0.73 # BW rewrite match attempts : 91 0.41/0.73 # BW rewrite match successes : 52 0.41/0.73 # Condensation attempts : 773 0.41/0.73 # Condensation successes : 0 0.41/0.73 # Termbank termtop insertions : 95275 0.41/0.73 0.41/0.73 # ------------------------------------------------- 0.41/0.73 # User time : 0.130 s 0.41/0.73 # System time : 0.013 s 0.41/0.73 # Total time : 0.142 s 0.41/0.73 # Maximum resident set size: 8084 pages 0.41/0.73 0.41/0.73 # ------------------------------------------------- 0.41/0.73 # User time : 0.163 s 0.41/0.73 # System time : 0.014 s 0.41/0.73 # Total time : 0.177 s 0.41/0.73 # Maximum resident set size: 3488 pages 0.41/0.73 EOF