0.12/0.27 % Problem : SLH0448^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.28 % Command : run_E %s %d THM 0.28/0.49 % Computer : n003.cluster.edu 0.28/0.49 % Model : x86_64 x86_64 0.28/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.49 % Memory : 8042.1875MB 0.28/0.49 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.49 % CPULimit : 30 0.28/0.49 % WCLimit : 30 0.28/0.49 % DateTime : Mon Jul 3 08:18:46 EDT 2023 0.35/0.49 % CPUTime : 0.47/0.64 The problem SPC is TH0_THM_EQU_NAR 0.47/0.64 Running higher-order on 1 cores theorem proving 0.47/0.64 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.u9mfWTpWxf/Vampire---4.8_11072 0.47/0.64 # Version: 3.0pre003-ho 2.05/2.23 # partial match(1): HSLSSMSMSSSNHFA 2.05/2.23 # Preprocessing class: HMLSSMSMSSSNHFA. 2.05/2.23 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.05/2.23 # Starting new_ho_10 with 30s (1) cores 2.05/2.23 # new_ho_10 with pid 11359 completed with status 0 2.05/2.23 # Result found by new_ho_10 2.05/2.23 # partial match(1): HSLSSMSMSSSNHFA 2.05/2.23 # Preprocessing class: HMLSSMSMSSSNHFA. 2.05/2.23 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.05/2.23 # Starting new_ho_10 with 30s (1) cores 2.05/2.23 # No SInE strategy applied 2.05/2.23 # Search class: HGHSM-SMLM31-DHFFFSBN 2.05/2.23 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 2.05/2.23 # Starting new_ho_11 with 17s (1) cores 2.05/2.23 # new_ho_11 with pid 11428 completed with status 0 2.05/2.23 # Result found by new_ho_11 2.05/2.23 # partial match(1): HSLSSMSMSSSNHFA 2.05/2.23 # Preprocessing class: HMLSSMSMSSSNHFA. 2.05/2.23 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.05/2.23 # Starting new_ho_10 with 30s (1) cores 2.05/2.23 # No SInE strategy applied 2.05/2.23 # Search class: HGHSM-SMLM31-DHFFFSBN 2.05/2.23 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 2.05/2.23 # Starting new_ho_11 with 17s (1) cores 2.05/2.23 # Preprocessing time : 0.036 s 2.05/2.23 # Presaturation interreduction done 2.05/2.23 2.05/2.23 # Proof found! 2.05/2.23 # SZS status Theorem 2.05/2.23 # SZS output start CNFRefutation 2.05/2.23 thf(decl_22, type, archim7802044766580827645g_real: real > int). 2.05/2.23 thf(decl_23, type, archim6058952711729229775r_real: real > int). 2.05/2.23 thf(decl_24, type, assumptions_and_L0: nat). 2.05/2.23 thf(decl_25, type, assump8934899134041091456axioms: nat > nat > $o). 2.05/2.23 thf(decl_26, type, clique372436662812637751Number: nat). 2.05/2.23 thf(decl_27, type, log: nat > nat). 2.05/2.23 thf(decl_28, type, one_on7984719198319812577d_enat: extended_enat). 2.05/2.23 thf(decl_29, type, one_on2969667320475766781nnreal: extend8495563244428889912nnreal). 2.05/2.23 thf(decl_30, type, one_one_int: int). 2.05/2.23 thf(decl_31, type, one_one_nat: nat). 2.05/2.23 thf(decl_32, type, one_on3868389512446148991l_num1: numera2417102609627094330l_num1). 2.05/2.23 thf(decl_33, type, one_one_real: real). 2.05/2.23 thf(decl_34, type, plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat). 2.05/2.23 thf(decl_35, type, plus_p1859984266308609217nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_36, type, plus_plus_int: int > int > int). 2.05/2.23 thf(decl_37, type, plus_plus_nat: nat > nat > nat). 2.05/2.23 thf(decl_38, type, plus_plus_num: num > num > num). 2.05/2.23 thf(decl_39, type, plus_p2313304076027620419l_num1: numera2417102609627094330l_num1 > numera2417102609627094330l_num1 > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_40, type, plus_plus_real: real > real > real). 2.05/2.23 thf(decl_41, type, times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat). 2.05/2.23 thf(decl_42, type, times_1893300245718287421nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_43, type, times_times_int: int > int > int). 2.05/2.23 thf(decl_44, type, times_times_nat: nat > nat > nat). 2.05/2.23 thf(decl_45, type, times_times_num: num > num > num). 2.05/2.23 thf(decl_46, type, times_8498157372700349887l_num1: numera2417102609627094330l_num1 > numera2417102609627094330l_num1 > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_47, type, times_times_real: real > real > real). 2.05/2.23 thf(decl_48, type, times_2438108612031896577d_enat: set_Extended_enat > set_Extended_enat > set_Extended_enat). 2.05/2.23 thf(decl_49, type, times_times_set_int: set_int > set_int > set_int). 2.05/2.23 thf(decl_50, type, times_times_set_nat: set_nat > set_nat > set_nat). 2.05/2.23 thf(decl_51, type, times_times_set_num: set_num > set_num > set_num). 2.05/2.23 thf(decl_52, type, times_times_set_real: set_real > set_real > set_real). 2.05/2.23 thf(decl_53, type, zero_z5237406670263579293d_enat: extended_enat). 2.05/2.23 thf(decl_54, type, zero_z7100319975126383169nnreal: extend8495563244428889912nnreal). 2.05/2.23 thf(decl_55, type, zero_zero_int: int). 2.05/2.23 thf(decl_56, type, zero_zero_nat: nat). 2.05/2.23 thf(decl_57, type, zero_zero_real: real). 2.05/2.23 thf(decl_58, type, if_nat: $o > nat > nat > nat). 2.05/2.23 thf(decl_59, type, nat2: int > nat). 2.05/2.23 thf(decl_60, type, semiri4216267220026989637d_enat: nat > extended_enat). 2.05/2.23 thf(decl_61, type, semiri6283507881447550617nnreal: nat > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_62, type, semiri1314217659103216013at_int: nat > int). 2.05/2.23 thf(decl_63, type, semiri1316708129612266289at_nat: nat > nat). 2.05/2.23 thf(decl_64, type, semiri1795386414920522267l_num1: nat > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_65, type, semiri5074537144036343181t_real: nat > real). 2.05/2.23 thf(decl_66, type, bit0: num > num). 2.05/2.23 thf(decl_67, type, one: num). 2.05/2.23 thf(decl_68, type, numera1916890842035813515d_enat: num > extended_enat). 2.05/2.23 thf(decl_69, type, numera4658534427948366547nnreal: num > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_70, type, numeral_numeral_int: num > int). 2.05/2.23 thf(decl_71, type, numeral_numeral_nat: num > nat). 2.05/2.23 thf(decl_72, type, numera2161328050825114965l_num1: num > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_73, type, numeral_numeral_real: num > real). 2.05/2.23 thf(decl_74, type, pow: num > num > num). 2.05/2.23 thf(decl_75, type, ord_le72135733267957522d_enat: extended_enat > extended_enat > $o). 2.05/2.23 thf(decl_76, type, ord_le7381754540660121996nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > $o). 2.05/2.23 thf(decl_77, type, ord_less_int: int > int > $o). 2.05/2.23 thf(decl_78, type, ord_less_nat: nat > nat > $o). 2.05/2.23 thf(decl_79, type, ord_less_num: num > num > $o). 2.05/2.23 thf(decl_80, type, ord_less_real: real > real > $o). 2.05/2.23 thf(decl_81, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o). 2.05/2.23 thf(decl_82, type, ord_le3935885782089961368nnreal: extend8495563244428889912nnreal > extend8495563244428889912nnreal > $o). 2.05/2.23 thf(decl_83, type, ord_less_eq_int: int > int > $o). 2.05/2.23 thf(decl_84, type, ord_less_eq_nat: nat > nat > $o). 2.05/2.23 thf(decl_85, type, ord_less_eq_num: num > num > $o). 2.05/2.23 thf(decl_86, type, ord_less_eq_real: real > real > $o). 2.05/2.23 thf(decl_87, type, power_8040749407984259932d_enat: extended_enat > nat > extended_enat). 2.05/2.23 thf(decl_88, type, power_6007165696250533058nnreal: extend8495563244428889912nnreal > nat > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_89, type, power_power_int: int > nat > int). 2.05/2.23 thf(decl_90, type, power_power_nat: nat > nat > nat). 2.05/2.23 thf(decl_91, type, power_7402600760894073284l_num1: numera2417102609627094330l_num1 > nat > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_92, type, power_power_real: real > nat > real). 2.05/2.23 thf(decl_93, type, divide_divide_nat: nat > nat > nat). 2.05/2.23 thf(decl_94, type, collect_real: (real > $o) > set_real). 2.05/2.23 thf(decl_95, type, arsinh_real: real > real). 2.05/2.23 thf(decl_96, type, artanh_real: real > real). 2.05/2.23 thf(decl_97, type, log2: real > real > real). 2.05/2.23 thf(decl_98, type, powr_real: real > real > real). 2.05/2.23 thf(decl_99, type, member_Extended_enat: extended_enat > set_Extended_enat > $o). 2.05/2.23 thf(decl_100, type, member_int: int > set_int > $o). 2.05/2.23 thf(decl_101, type, member_nat: nat > set_nat > $o). 2.05/2.23 thf(decl_102, type, member_num: num > set_num > $o). 2.05/2.23 thf(decl_103, type, member_real: real > set_real > $o). 2.05/2.23 thf(decl_104, type, k: nat). 2.05/2.23 thf(decl_105, type, l: nat). 2.05/2.23 thf(decl_106, type, p: nat). 2.05/2.23 thf(decl_107, type, epred1_3: ((nat > real) > nat > real) > (nat > $o) > ((nat > real) > $o) > $o). 2.05/2.23 thf(decl_108, type, esk1_0: nat). 2.05/2.23 thf(decl_109, type, esk2_0: nat). 2.05/2.23 thf(decl_110, type, esk3_1: real > nat). 2.05/2.23 thf(decl_111, type, esk4_2: set_real > real > real). 2.05/2.23 thf(decl_112, type, esk5_1: set_real > real). 2.05/2.23 thf(decl_113, type, esk6_2: set_real > real > real). 2.05/2.23 thf(decl_114, type, esk7_2: (nat > $o) > nat > nat). 2.05/2.23 thf(decl_115, type, esk8_1: (nat > $o) > nat). 2.05/2.23 thf(decl_116, type, esk9_1: int > nat). 2.05/2.23 thf(decl_117, type, esk10_1: int > nat). 2.05/2.23 thf(decl_118, type, esk11_1: (nat > $o) > int). 2.05/2.23 thf(decl_119, type, esk12_1: (nat > $o) > nat). 2.05/2.23 thf(decl_120, type, esk13_1: (nat > $o) > nat). 2.05/2.23 thf(decl_121, type, esk14_1: (nat > $o) > int). 2.05/2.23 thf(decl_122, type, esk15_1: (nat > $o) > nat). 2.05/2.23 thf(decl_123, type, esk16_1: (nat > $o) > nat). 2.05/2.23 thf(decl_124, type, esk17_2: real > real > real). 2.05/2.23 thf(decl_125, type, esk18_1: real > nat). 2.05/2.23 thf(decl_126, type, esk19_1: (nat > $o) > nat). 2.05/2.23 thf(decl_127, type, esk20_1: (nat > nat) > nat). 2.05/2.23 thf(decl_128, type, esk21_1: (nat > nat) > nat). 2.05/2.23 thf(decl_129, type, esk22_2: (nat > $o) > nat > nat). 2.05/2.23 thf(decl_130, type, esk23_2: real > real > nat). 2.05/2.23 thf(decl_131, type, esk24_2: real > real > nat). 2.05/2.23 thf(decl_132, type, esk25_2: real > real > nat). 2.05/2.23 thf(decl_133, type, esk26_1: int > nat). 2.05/2.23 thf(decl_134, type, esk27_1: int > nat). 2.05/2.23 thf(decl_135, type, esk28_2: nat > real > real). 2.05/2.23 thf(decl_136, type, esk29_2: nat > real > real). 2.05/2.23 thf(decl_137, type, esk30_2: (nat > $o) > int > nat). 2.05/2.23 thf(decl_138, type, esk31_3: nat > (nat > real) > (nat > real) > nat). 2.05/2.23 thf(decl_139, type, esk32_3: nat > (nat > real) > (nat > real) > nat). 2.05/2.23 thf(decl_140, type, esk33_1: (extended_enat > $o) > extended_enat). 2.05/2.23 thf(decl_141, type, esk34_3: extended_enat > set_Extended_enat > set_Extended_enat > extended_enat). 2.05/2.23 thf(decl_142, type, esk35_3: extended_enat > set_Extended_enat > set_Extended_enat > extended_enat). 2.05/2.23 thf(decl_143, type, esk36_3: real > set_real > set_real > real). 2.05/2.23 thf(decl_144, type, esk37_3: real > set_real > set_real > real). 2.05/2.23 thf(decl_145, type, esk38_3: num > set_num > set_num > num). 2.05/2.23 thf(decl_146, type, esk39_3: num > set_num > set_num > num). 2.05/2.23 thf(decl_147, type, esk40_3: nat > set_nat > set_nat > nat). 2.05/2.23 thf(decl_148, type, esk41_3: nat > set_nat > set_nat > nat). 2.05/2.23 thf(decl_149, type, esk42_3: int > set_int > set_int > int). 2.05/2.23 thf(decl_150, type, esk43_3: int > set_int > set_int > int). 2.05/2.23 thf(decl_151, type, esk44_2: extended_enat > extended_enat > extended_enat). 2.05/2.23 thf(decl_152, type, esk45_2: nat > nat > nat). 2.05/2.23 thf(decl_153, type, esk46_2: extended_enat > extended_enat > extended_enat). 2.05/2.23 thf(decl_154, type, esk47_2: nat > nat > nat). 2.05/2.23 thf(decl_155, type, esk48_2: real > real > nat). 2.05/2.23 thf(decl_156, type, esk49_2: real > real > nat). 2.05/2.23 thf(decl_157, type, esk50_3: int > int > (int > $o) > int). 2.05/2.23 thf(decl_158, type, esk51_3: int > int > (int > $o) > int). 2.05/2.23 thf(decl_159, type, esk52_2: nat > nat > nat). 2.05/2.23 thf(decl_160, type, esk53_2: nat > nat > nat). 2.05/2.23 thf(decl_161, type, esk54_2: nat > nat > nat). 2.05/2.23 thf(decl_162, type, esk55_1: (nat > nat) > nat). 2.05/2.23 thf(decl_163, type, esk56_1: (nat > nat) > nat). 2.05/2.23 thf(decl_164, type, esk57_1: (numera2417102609627094330l_num1 > $o) > numera2417102609627094330l_num1). 2.05/2.23 thf(decl_165, type, esk58_2: int > int > nat). 2.05/2.23 thf(decl_166, type, esk59_2: nat > nat > nat). 2.05/2.23 thf(decl_167, type, esk60_2: nat > nat > nat). 2.05/2.23 thf(decl_168, type, esk61_1: (nat > $o) > nat). 2.05/2.23 thf(decl_169, type, esk62_2: ((nat > real) > $o) > ((nat > real) > nat > real) > nat > real). 2.05/2.23 thf(decl_170, type, esk63_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat > real). 2.05/2.23 thf(decl_171, type, esk64_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat). 2.05/2.23 thf(decl_172, type, esk65_2: int > (int > $o) > int). 2.05/2.23 thf(decl_173, type, esk66_2: extend8495563244428889912nnreal > extend8495563244428889912nnreal > extend8495563244428889912nnreal). 2.05/2.23 thf(decl_174, type, esk67_3: nat > nat > ((nat > nat) > nat > nat) > nat > nat). 2.05/2.23 thf(decl_175, type, esk68_3: nat > nat > ((nat > nat) > nat > nat) > nat). 2.05/2.23 thf(decl_176, type, esk69_3: nat > nat > ((nat > nat) > nat > nat) > nat > nat). 2.05/2.23 thf(decl_177, type, esk70_3: nat > nat > ((nat > nat) > nat > nat) > nat). 2.05/2.23 thf(decl_178, type, esk71_3: nat > nat > ((nat > nat) > nat > nat) > nat > nat). 2.05/2.23 thf(decl_179, type, esk72_3: nat > nat > ((nat > nat) > nat > nat) > nat). 2.05/2.23 thf(decl_180, type, esk73_3: nat > nat > ((nat > nat) > nat > nat) > nat > nat). 2.05/2.23 thf(decl_181, type, esk74_4: nat > nat > ((nat > nat) > nat > nat) > nat > nat > nat). 2.05/2.23 thf(decl_182, type, esk75_4: nat > nat > ((nat > nat) > nat > nat) > nat > nat > nat). 2.05/2.23 thf(decl_183, type, esk76_3: ((nat > real) > $o) > (nat > $o) > ((nat > real) > nat > real) > (nat > real) > nat > nat). 2.05/2.23 thf(decl_184, type, epred2_1: set_real > real > $o). 2.05/2.23 thf(conj_0, conjecture, ((semiri1314217659103216013at_int @ (nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))))=(archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', conj_0)). 2.05/2.23 thf(fact_356_int__nat__eq, axiom, ![X351:int]:((((ord_less_eq_int @ zero_zero_int @ X351)=>((semiri1314217659103216013at_int @ (nat2 @ X351))=(X351)))&(~((ord_less_eq_int @ zero_zero_int @ X351))=>((semiri1314217659103216013at_int @ (nat2 @ X351))=(zero_zero_int))))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_356_int__nat__eq)). 2.05/2.23 thf(fact_3_p__def, axiom, ((p)=(nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_3_p__def)). 2.05/2.23 thf(fact_1023_one__add__one, axiom, ((plus_plus_real @ one_one_real @ one_one_real)=(numeral_numeral_real @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_1023_one__add__one)). 2.05/2.23 thf(fact_82_ceiling__mono, axiom, ![X86:real, X87:real]:(((ord_less_eq_real @ X86 @ X87)=>(ord_less_eq_int @ (archim7802044766580827645g_real @ X86) @ (archim7802044766580827645g_real @ X87)))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_82_ceiling__mono)). 2.05/2.23 thf(fact_179_ceiling__zero, axiom, ((archim7802044766580827645g_real @ zero_zero_real)=(zero_zero_int)), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_179_ceiling__zero)). 2.05/2.23 thf(fact_145_tedious, axiom, (ord_less_eq_real @ zero_zero_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))), file('/export/starexec/sandbox2/tmp/tmp.u9mfWTpWxf/Vampire---4.8_11072', fact_145_tedious)). 2.05/2.23 thf(c_0_7, negated_conjecture, ((semiri1314217659103216013at_int @ (nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))))!=(archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 2.05/2.23 thf(c_0_8, plain, ![X351:int]:((((ord_less_eq_int @ zero_zero_int @ X351)=>((semiri1314217659103216013at_int @ (nat2 @ X351))=(X351)))&(~(ord_less_eq_int @ zero_zero_int @ X351)=>((semiri1314217659103216013at_int @ (nat2 @ X351))=(zero_zero_int))))), inference(fof_simplification,[status(thm)],[fact_356_int__nat__eq])). 2.05/2.23 thf(c_0_9, negated_conjecture, ((semiri1314217659103216013at_int @ (nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))))!=(archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))), inference(split_conjunct,[status(thm)],[c_0_7])). 2.05/2.23 thf(c_0_10, plain, ((p)=(nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))))), inference(split_conjunct,[status(thm)],[fact_3_p__def])). 2.05/2.23 thf(c_0_11, plain, ![X5007:int]:(((~(ord_less_eq_int @ zero_zero_int @ X5007)|((semiri1314217659103216013at_int @ (nat2 @ X5007))=(X5007)))&((ord_less_eq_int @ zero_zero_int @ X5007)|((semiri1314217659103216013at_int @ (nat2 @ X5007))=(zero_zero_int))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 2.05/2.23 thf(c_0_12, plain, ((plus_plus_real @ one_one_real @ one_one_real)=(numeral_numeral_real @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_1023_one__add__one])). 2.05/2.23 thf(c_0_13, negated_conjecture, ((archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))!=(semiri1314217659103216013at_int @ p)), inference(rw,[status(thm)],[c_0_9, c_0_10])). 2.05/2.23 thf(c_0_14, plain, ![X4557:real, X4558:real]:((~(ord_less_eq_real @ X4557 @ X4558)|(ord_less_eq_int @ (archim7802044766580827645g_real @ X4557) @ (archim7802044766580827645g_real @ X4558)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_ceiling__mono])])). 2.05/2.23 thf(c_0_15, plain, ![X54:int]:((((semiri1314217659103216013at_int @ (nat2 @ X54))=(X54))|~((ord_less_eq_int @ zero_zero_int @ X54)))), inference(split_conjunct,[status(thm)],[c_0_11])). 2.05/2.23 thf(c_0_16, plain, ((nat2 @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (plus_plus_real @ one_one_real @ one_one_real) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))))=(p)), inference(rw,[status(thm)],[c_0_10, c_0_12])). 2.05/2.23 thf(c_0_17, negated_conjecture, ((archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (plus_plus_real @ one_one_real @ one_one_real) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one))))))))!=(semiri1314217659103216013at_int @ p)), inference(rw,[status(thm)],[c_0_13, c_0_12])). 2.05/2.23 thf(c_0_18, plain, ![X50:real, X70:real]:(((ord_less_eq_int @ (archim7802044766580827645g_real @ X50) @ (archim7802044766580827645g_real @ X70))|~((ord_less_eq_real @ X50 @ X70)))), inference(split_conjunct,[status(thm)],[c_0_14])). 2.05/2.23 thf(c_0_19, plain, ((archim7802044766580827645g_real @ zero_zero_real)=(zero_zero_int)), inference(split_conjunct,[status(thm)],[fact_179_ceiling__zero])). 2.05/2.23 thf(c_0_20, plain, (ord_less_eq_real @ zero_zero_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))), inference(split_conjunct,[status(thm)],[fact_145_tedious])). 2.05/2.23 thf(c_0_21, plain, ~((ord_less_eq_int @ zero_zero_int @ (archim7802044766580827645g_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (plus_plus_real @ one_one_real @ one_one_real) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])). 2.05/2.23 thf(c_0_22, plain, ![X50:real]:(((ord_less_eq_int @ zero_zero_int @ (archim7802044766580827645g_real @ X50))|~((ord_less_eq_real @ zero_zero_real @ X50)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 2.05/2.23 thf(c_0_23, plain, (ord_less_eq_real @ zero_zero_real @ (times_times_real @ (semiri5074537144036343181t_real @ l) @ (log2 @ (plus_plus_real @ one_one_real @ one_one_real) @ (semiri5074537144036343181t_real @ (power_power_nat @ k @ (numeral_numeral_nat @ (bit0 @ (bit0 @ one)))))))), inference(rw,[status(thm)],[c_0_20, c_0_12])). 2.05/2.23 thf(c_0_24, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['proof']). 2.05/2.23 # SZS output end CNFRefutation 2.05/2.23 # Parsed axioms : 1368 2.05/2.23 # Removed by relevancy pruning/SinE : 0 2.05/2.23 # Initial clauses : 2468 2.05/2.23 # Removed in clause preprocessing : 188 2.05/2.23 # Initial clauses in saturation : 2280 2.05/2.23 # Processed clauses : 7539 2.05/2.23 # ...of these trivial : 202 2.05/2.23 # ...subsumed : 3005 2.05/2.23 # ...remaining for further processing : 4332 2.05/2.23 # Other redundant clauses eliminated : 486 2.05/2.23 # Clauses deleted for lack of memory : 0 2.05/2.23 # Backward-subsumed : 61 2.05/2.23 # Backward-rewritten : 100 2.05/2.23 # Generated clauses : 42616 2.05/2.23 # ...of the previous two non-redundant : 37409 2.05/2.23 # ...aggressively subsumed : 0 2.05/2.23 # Contextual simplify-reflections : 1 2.05/2.23 # Paramodulations : 41876 2.05/2.23 # Factorizations : 234 2.05/2.23 # NegExts : 0 2.05/2.23 # Equation resolutions : 521 2.05/2.23 # Propositional unsat checks : 0 2.05/2.23 # Propositional check models : 0 2.05/2.23 # Propositional check unsatisfiable : 0 2.05/2.23 # Propositional clauses : 0 2.05/2.23 # Propositional clauses after purity: 0 2.05/2.23 # Propositional unsat core size : 0 2.05/2.23 # Propositional preprocessing time : 0.000 2.05/2.23 # Propositional encoding time : 0.000 2.05/2.23 # Propositional solver time : 0.000 2.05/2.23 # Success case prop preproc time : 0.000 2.05/2.23 # Success case prop encoding time : 0.000 2.05/2.23 # Success case prop solver time : 0.000 2.05/2.23 # Current number of processed clauses : 2378 2.05/2.23 # Positive orientable unit clauses : 418 2.05/2.23 # Positive unorientable unit clauses: 17 2.05/2.23 # Negative unit clauses : 299 2.05/2.23 # Non-unit-clauses : 1644 2.05/2.23 # Current number of unprocessed clauses: 33612 2.05/2.23 # ...number of literals in the above : 118095 2.05/2.23 # Current number of archived formulas : 0 2.05/2.23 # Current number of archived clauses : 1737 2.05/2.23 # Clause-clause subsumption calls (NU) : 2187351 2.05/2.23 # Rec. Clause-clause subsumption calls : 365597 2.05/2.23 # Non-unit clause-clause subsumptions : 1085 2.05/2.23 # Unit Clause-clause subsumption calls : 116189 2.05/2.23 # Rewrite failures with RHS unbound : 0 2.05/2.23 # BW rewrite match attempts : 448 2.05/2.23 # BW rewrite match successes : 241 2.05/2.23 # Condensation attempts : 0 2.05/2.23 # Condensation successes : 0 2.05/2.23 # Termbank termtop insertions : 1036177 2.05/2.23 2.05/2.23 # ------------------------------------------------- 2.05/2.23 # User time : 1.497 s 2.05/2.23 # System time : 0.040 s 2.05/2.23 # Total time : 1.537 s 2.05/2.23 # Maximum resident set size: 11024 pages 2.05/2.23 2.05/2.23 # ------------------------------------------------- 2.05/2.23 # User time : 1.543 s 2.05/2.23 # System time : 0.044 s 2.05/2.23 # Total time : 1.587 s 2.05/2.23 # Maximum resident set size: 4128 pages 2.05/2.23 EOF