0.06/0.15 % Problem : Vampire---4.8_8254 : TPTP v0.0.0. Released v0.0.0. 0.06/0.16 % Command : run_E %s %d THM 0.16/0.37 % Computer : n009.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1440 0.16/0.37 % WCLimit : 180 0.16/0.37 % DateTime : Mon Jul 3 12:50:26 EDT 2023 0.16/0.37 % CPUTime : 0.36/0.53 Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254 0.36/0.54 # Version: 3.1pre001-ho 0.39/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.39/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.62 # Starting new_ho_10 with 900s (5) cores 0.39/0.62 # Starting new_ho_10_cnf2 with 180s (1) cores 0.39/0.62 # Starting full_lambda_6 with 180s (1) cores 0.39/0.62 # Starting full_lambda_9 with 180s (1) cores 0.39/0.62 # new_ho_10_cnf2 with pid 8434 completed with status 0 0.39/0.62 # Result found by new_ho_10_cnf2 0.39/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.39/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.62 # Starting new_ho_10 with 900s (5) cores 0.39/0.62 # Starting new_ho_10_cnf2 with 180s (1) cores 0.39/0.62 # No SInE strategy applied 0.39/0.62 # Search class: HGHSM-FSLM31-DHFFFFBN 0.39/0.62 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.39/0.62 # Starting new_ho_10 with 37s (1) cores 0.39/0.62 # new_ho_10 with pid 8439 completed with status 0 0.39/0.62 # Result found by new_ho_10 0.39/0.62 # Preprocessing class: HSLSSMSMSSSNHFA. 0.39/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.62 # Starting new_ho_10 with 900s (5) cores 0.39/0.62 # Starting new_ho_10_cnf2 with 180s (1) cores 0.39/0.62 # No SInE strategy applied 0.39/0.62 # Search class: HGHSM-FSLM31-DHFFFFBN 0.39/0.62 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.39/0.62 # Starting new_ho_10 with 37s (1) cores 0.39/0.62 # Preprocessing time : 0.007 s 0.39/0.62 # Presaturation interreduction done 0.39/0.62 0.39/0.62 # Proof found! 0.39/0.62 # SZS status Theorem 0.39/0.62 # SZS output start CNFRefutation 0.39/0.62 thf(decl_22, type, archim1371465213g_real: real > int). 0.39/0.62 thf(decl_30, type, nat2: int > nat). 0.39/0.62 thf(decl_32, type, ring_1_of_int_real: int > real). 0.39/0.62 thf(decl_36, type, semiri2110766477t_real: nat > real). 0.39/0.62 thf(decl_39, type, bit0: num > num). 0.39/0.62 thf(decl_40, type, one: num). 0.39/0.62 thf(decl_41, type, numeral_numeral_int: num > int). 0.39/0.62 thf(decl_43, type, numeral_numeral_real: num > real). 0.39/0.62 thf(decl_46, type, ord_less_eq_int: int > int > $o). 0.39/0.62 thf(decl_49, type, ord_less_eq_real: real > real > $o). 0.39/0.62 thf(decl_50, type, power_power_int: int > nat > int). 0.39/0.62 thf(decl_54, type, log: real > real > real). 0.39/0.62 thf(decl_55, type, powr_real: real > real > real). 0.39/0.62 thf(decl_57, type, d: int). 0.39/0.62 thf(fact_28_of__int__le__iff, axiom, ![X25:int, X5:int]:(((ord_less_eq_real @ (ring_1_of_int_real @ X25) @ (ring_1_of_int_real @ X5))<=>(ord_less_eq_int @ X25 @ X5))), file('/export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254', fact_28_of__int__le__iff)). 0.39/0.62 thf(fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062, axiom, (ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), file('/export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254', fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062)). 0.39/0.62 thf(fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062, axiom, ((ring_1_of_int_real @ d)=(powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))), file('/export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254', fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062)). 0.39/0.62 thf(fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062, axiom, ((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))=(ring_1_of_int_real @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), file('/export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254', fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062)). 0.39/0.62 thf(conj_0, conjecture, (ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))), file('/export/starexec/sandbox2/tmp/tmp.hSPDv1nne6/Vampire---4.8_8254', conj_0)). 0.39/0.62 thf(c_0_5, plain, ![X901:int, X902:int]:(((~(ord_less_eq_real @ (ring_1_of_int_real @ X901) @ (ring_1_of_int_real @ X902))|(ord_less_eq_int @ X901 @ X902))&(~(ord_less_eq_int @ X901 @ X902)|(ord_less_eq_real @ (ring_1_of_int_real @ X901) @ (ring_1_of_int_real @ X902))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_28_of__int__le__iff])])). 0.39/0.62 thf(c_0_6, plain, (ord_less_eq_real @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))) @ (powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), inference(split_conjunct,[status(thm)],[fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062])). 0.39/0.62 thf(c_0_7, plain, ((ring_1_of_int_real @ d)=(powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))), inference(split_conjunct,[status(thm)],[fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062])). 0.39/0.62 thf(c_0_8, plain, ((powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (semiri2110766477t_real @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))=(ring_1_of_int_real @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), inference(split_conjunct,[status(thm)],[fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062])). 0.39/0.62 thf(c_0_9, negated_conjecture, ~(ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.39/0.62 thf(c_0_10, plain, ![X3:int, X5:int]:(((ord_less_eq_int @ X3 @ X5)|~((ord_less_eq_real @ (ring_1_of_int_real @ X3) @ (ring_1_of_int_real @ X5))))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.39/0.62 thf(c_0_11, plain, (ord_less_eq_real @ (ring_1_of_int_real @ d) @ (ring_1_of_int_real @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7]), c_0_8])). 0.39/0.62 thf(c_0_12, negated_conjecture, ~((ord_less_eq_int @ d @ (power_power_int @ (numeral_numeral_int @ (bit0 @ one)) @ (nat2 @ (archim1371465213g_real @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d))))))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.39/0.62 thf(c_0_13, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), ['proof']). 0.39/0.62 # SZS output end CNFRefutation 0.39/0.62 # Parsed axioms : 396 0.39/0.62 # Removed by relevancy pruning/SinE : 0 0.39/0.62 # Initial clauses : 588 0.39/0.62 # Removed in clause preprocessing : 68 0.39/0.62 # Initial clauses in saturation : 520 0.39/0.62 # Processed clauses : 702 0.39/0.62 # ...of these trivial : 28 0.39/0.62 # ...subsumed : 103 0.39/0.62 # ...remaining for further processing : 571 0.39/0.62 # Other redundant clauses eliminated : 90 0.39/0.62 # Clauses deleted for lack of memory : 0 0.39/0.62 # Backward-subsumed : 0 0.39/0.62 # Backward-rewritten : 12 0.39/0.62 # Generated clauses : 271 0.39/0.62 # ...of the previous two non-redundant : 129 0.39/0.62 # ...aggressively subsumed : 0 0.39/0.62 # Contextual simplify-reflections : 0 0.39/0.62 # Paramodulations : 179 0.39/0.62 # Factorizations : 0 0.39/0.62 # NegExts : 0 0.39/0.62 # Equation resolutions : 94 0.39/0.62 # Total rewrite steps : 281 0.39/0.62 # Propositional unsat checks : 0 0.39/0.62 # Propositional check models : 0 0.39/0.62 # Propositional check unsatisfiable : 0 0.39/0.62 # Propositional clauses : 0 0.39/0.62 # Propositional clauses after purity: 0 0.39/0.62 # Propositional unsat core size : 0 0.39/0.62 # Propositional preprocessing time : 0.000 0.39/0.62 # Propositional encoding time : 0.000 0.39/0.62 # Propositional solver time : 0.000 0.39/0.62 # Success case prop preproc time : 0.000 0.39/0.62 # Success case prop encoding time : 0.000 0.39/0.62 # Success case prop solver time : 0.000 0.39/0.62 # Current number of processed clauses : 132 0.39/0.62 # Positive orientable unit clauses : 59 0.39/0.62 # Positive unorientable unit clauses: 0 0.39/0.62 # Negative unit clauses : 22 0.39/0.62 # Non-unit-clauses : 51 0.39/0.62 # Current number of unprocessed clauses: 282 0.39/0.62 # ...number of literals in the above : 601 0.39/0.62 # Current number of archived formulas : 0 0.39/0.62 # Current number of archived clauses : 357 0.39/0.62 # Clause-clause subsumption calls (NU) : 14299 0.39/0.62 # Rec. Clause-clause subsumption calls : 11226 0.39/0.62 # Non-unit clause-clause subsumptions : 77 0.39/0.62 # Unit Clause-clause subsumption calls : 571 0.39/0.62 # Rewrite failures with RHS unbound : 0 0.39/0.62 # BW rewrite match attempts : 23 0.39/0.62 # BW rewrite match successes : 8 0.39/0.62 # Condensation attempts : 702 0.39/0.62 # Condensation successes : 2 0.39/0.62 # Termbank termtop insertions : 34743 0.39/0.62 0.39/0.62 # ------------------------------------------------- 0.39/0.62 # User time : 0.067 s 0.39/0.62 # System time : 0.003 s 0.39/0.62 # Total time : 0.070 s 0.39/0.62 # Maximum resident set size: 3816 pages 0.39/0.62 0.39/0.62 # ------------------------------------------------- 0.39/0.62 # User time : 0.078 s 0.39/0.62 # System time : 0.004 s 0.39/0.62 # Total time : 0.082 s 0.39/0.62 # Maximum resident set size: 2280 pages 0.39/0.62 % E---3.1 exiting 0.39/0.63 EOF