0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.14 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.34 % Computer : n013.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:41:33 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 # Version: 2.6rc1-ho 0.13/0.36 # No SInE strategy applied 0.13/0.36 # Trying AutoSched0 for 59 seconds 59.11/59.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d 59.11/59.42 # and selection function SelectCQIPrecWNTNp. 59.11/59.42 # 59.11/59.42 # Preprocessing time : 0.057 s 59.11/59.42 # Presaturation interreduction done 59.21/59.51 # No success with AutoSched0 59.21/59.51 # Trying AutoSched1 for 26 seconds 61.01/61.34 # AutoSched1-Mode selected heuristic G_E___211_C18_F1_AE_CS_SP_S0Y 61.01/61.34 # and selection function SelectMaxLComplexAvoidPosPred. 61.01/61.34 # 61.01/61.34 # Preprocessing time : 0.058 s 61.01/61.34 61.01/61.34 # Proof found! 61.01/61.34 # SZS status Theorem 61.01/61.34 # SZS output start CNFRefutation 61.01/61.34 thf(conj_0, conjecture, ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ (degree_real @ p))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 61.01/61.34 thf(fact_154_int__poly__rat__no__root__ge, axiom, ![X2:poly_real, X207:int, X208:int]:(![X209:nat]:member_real @ (coeff_real @ X2 @ X209) @ ring_1_Ints_real=>(ord_less_int @ zero_zero_int @ X207=>((poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X208) @ (ring_1_of_int_real @ X207)))!=(zero_zero_real)=>ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ X207) @ (degree_real @ X2))) @ (abs_abs_real @ (poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X208) @ (ring_1_of_int_real @ X207))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_154_int__poly__rat__no__root__ge)). 61.01/61.34 thf(fact_23_of__int__power, axiom, ![X8:int, X5:nat]:(ring_1_of_int_real @ (power_power_int @ X8 @ X5))=(power_power_real @ (ring_1_of_int_real @ X8) @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_23_of__int__power)). 61.01/61.34 thf(fact_6_n__def, axiom, (n)=(degree_real @ p), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_6_n__def)). 61.01/61.34 thf(fact_2_p_I1_J, axiom, ![X6:nat]:member_real @ (coeff_real @ p @ X6) @ ring_1_Ints_real, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_2_p_I1_J)). 61.01/61.34 thf(fact_3_b, axiom, ord_less_int @ zero_zero_int @ b, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_b)). 61.01/61.34 thf(fact_5_no__root, axiom, (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))!=(zero_zero_real), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_5_no__root)). 61.01/61.34 thf(c_0_7, negated_conjecture, ~ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ (degree_real @ p))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 61.01/61.34 thf(c_0_8, plain, ![X1417:poly_real, X1419:int, X1420:int]:(~member_real @ (coeff_real @ X1417 @ (esk30_1 @ X1417)) @ ring_1_Ints_real|(~ord_less_int @ zero_zero_int @ X1419|((poly_real2 @ X1417 @ (divide_divide_real @ (ring_1_of_int_real @ X1420) @ (ring_1_of_int_real @ X1419)))=(zero_zero_real)|ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ X1419) @ (degree_real @ X1417))) @ (abs_abs_real @ (poly_real2 @ X1417 @ (divide_divide_real @ (ring_1_of_int_real @ X1420) @ (ring_1_of_int_real @ X1419))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_int__poly__rat__no__root__ge])])])])])). 61.01/61.34 thf(c_0_9, plain, ![X1278:int, X1279:nat]:(ring_1_of_int_real @ (power_power_int @ X1278 @ X1279))=(power_power_real @ (ring_1_of_int_real @ X1278) @ X1279), inference(variable_rename,[status(thm)],[fact_23_of__int__power])). 61.01/61.34 thf(c_0_10, negated_conjecture, ~ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ (degree_real @ p))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))), inference(split_conjunct,[status(thm)],[c_0_7])). 61.01/61.34 thf(c_0_11, plain, (n)=(degree_real @ p), inference(split_conjunct,[status(thm)],[fact_6_n__def])). 61.01/61.34 thf(c_0_12, plain, ![X2:poly_real, X14:int, X8:int]:((poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X14) @ (ring_1_of_int_real @ X8)))=(zero_zero_real)|ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ X8) @ (degree_real @ X2))) @ (abs_abs_real @ (poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X14) @ (ring_1_of_int_real @ X8))))|~member_real @ (coeff_real @ X2 @ (esk30_1 @ X2)) @ ring_1_Ints_real|~ord_less_int @ zero_zero_int @ X8), inference(split_conjunct,[status(thm)],[c_0_8])). 61.01/61.34 thf(c_0_13, plain, ![X8:int, X5:nat]:(ring_1_of_int_real @ (power_power_int @ X8 @ X5))=(power_power_real @ (ring_1_of_int_real @ X8) @ X5), inference(split_conjunct,[status(thm)],[c_0_9])). 61.01/61.34 thf(c_0_14, plain, ![X870:nat]:member_real @ (coeff_real @ p @ X870) @ ring_1_Ints_real, inference(variable_rename,[status(thm)],[fact_2_p_I1_J])). 61.01/61.34 thf(c_0_15, negated_conjecture, ~ord_less_eq_real @ (divide_divide_real @ one_one_real @ (power_power_real @ (ring_1_of_int_real @ b) @ n)) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 61.01/61.34 thf(c_0_16, plain, ![X2:poly_real, X8:int, X14:int]:((poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X8) @ (ring_1_of_int_real @ X14)))=(zero_zero_real)|ord_less_eq_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ X14 @ (degree_real @ X2)))) @ (abs_abs_real @ (poly_real2 @ X2 @ (divide_divide_real @ (ring_1_of_int_real @ X8) @ (ring_1_of_int_real @ X14))))|~member_real @ (coeff_real @ X2 @ (esk30_1 @ X2)) @ ring_1_Ints_real|~ord_less_int @ zero_zero_int @ X14), inference(rw,[status(thm)],[c_0_12, c_0_13])). 61.01/61.34 thf(c_0_17, plain, ![X5:nat]:member_real @ (coeff_real @ p @ X5) @ ring_1_Ints_real, inference(split_conjunct,[status(thm)],[c_0_14])). 61.01/61.34 thf(c_0_18, negated_conjecture, ~ord_less_eq_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ b @ n))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))), inference(rw,[status(thm)],[c_0_15, c_0_13])). 61.01/61.34 thf(c_0_19, plain, ![X8:int, X14:int]:((poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ X8) @ (ring_1_of_int_real @ X14)))=(zero_zero_real)|ord_less_eq_real @ (divide_divide_real @ one_one_real @ (ring_1_of_int_real @ (power_power_int @ X14 @ n))) @ (abs_abs_real @ (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ X8) @ (ring_1_of_int_real @ X14))))|~ord_less_int @ zero_zero_int @ X14), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_11]), c_0_17])])). 61.01/61.34 thf(c_0_20, plain, ord_less_int @ zero_zero_int @ b, inference(split_conjunct,[status(thm)],[fact_3_b])). 61.01/61.34 thf(c_0_21, plain, (poly_real2 @ p @ (divide_divide_real @ (ring_1_of_int_real @ a2) @ (ring_1_of_int_real @ b)))!=(zero_zero_real), inference(split_conjunct,[status(thm)],[fact_5_no__root])). 61.01/61.34 thf(c_0_22, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])]), c_0_21]), ['proof']). 61.01/61.34 # SZS output end CNFRefutation 61.01/61.34 # Proof object total steps : 23 61.01/61.34 # Proof object clause steps : 12 61.01/61.34 # Proof object formula steps : 11 61.01/61.34 # Proof object conjectures : 6 61.01/61.34 # Proof object clause conjectures : 4 61.01/61.34 # Proof object formula conjectures : 2 61.01/61.34 # Proof object initial clauses used : 7 61.01/61.34 # Proof object initial formulas used : 7 61.01/61.34 # Proof object generating inferences : 2 61.01/61.34 # Proof object simplifying inferences : 8 61.01/61.34 # Training examples: 0 positive, 0 negative 61.01/61.34 # Parsed axioms : 433 61.01/61.34 # Removed by relevancy pruning/SinE : 0 61.01/61.34 # Initial clauses : 631 61.01/61.34 # Removed in clause preprocessing : 93 61.01/61.34 # Initial clauses in saturation : 538 61.01/61.34 # Processed clauses : 30510 61.01/61.34 # ...of these trivial : 123 61.01/61.34 # ...subsumed : 26738 61.01/61.34 # ...remaining for further processing : 3649 61.01/61.34 # Other redundant clauses eliminated : 9 61.01/61.34 # Clauses deleted for lack of memory : 0 61.01/61.34 # Backward-subsumed : 124 61.01/61.34 # Backward-rewritten : 90 61.01/61.34 # Generated clauses : 176704 61.01/61.34 # ...of the previous two non-trivial : 158378 61.01/61.34 # Contextual simplify-reflections : 102 61.01/61.34 # Paramodulations : 176648 61.01/61.34 # Factorizations : 5 61.01/61.34 # NegExts : 2 61.01/61.34 # Equation resolutions : 49 61.01/61.34 # Propositional unsat checks : 0 61.01/61.34 # Propositional check models : 0 61.01/61.34 # Propositional check unsatisfiable : 0 61.01/61.34 # Propositional clauses : 0 61.01/61.34 # Propositional clauses after purity: 0 61.01/61.34 # Propositional unsat core size : 0 61.01/61.34 # Propositional preprocessing time : 0.000 61.01/61.34 # Propositional encoding time : 0.000 61.01/61.34 # Propositional solver time : 0.000 61.01/61.34 # Success case prop preproc time : 0.000 61.01/61.34 # Success case prop encoding time : 0.000 61.01/61.34 # Success case prop solver time : 0.000 61.01/61.34 # Current number of processed clauses : 3430 61.01/61.34 # Positive orientable unit clauses : 189 61.01/61.34 # Positive unorientable unit clauses: 0 61.01/61.34 # Negative unit clauses : 124 61.01/61.34 # Non-unit-clauses : 3117 61.01/61.34 # Current number of unprocessed clauses: 127715 61.01/61.34 # ...number of literals in the above : 447471 61.01/61.34 # Current number of archived formulas : 0 61.01/61.34 # Current number of archived clauses : 214 61.01/61.34 # Clause-clause subsumption calls (NU) : 1985628 61.01/61.34 # Rec. Clause-clause subsumption calls : 877832 61.01/61.34 # Non-unit clause-clause subsumptions : 8169 61.01/61.34 # Unit Clause-clause subsumption calls : 20178 61.01/61.34 # Rewrite failures with RHS unbound : 0 61.01/61.34 # BW rewrite match attempts : 183 61.01/61.34 # BW rewrite match successes : 35 61.01/61.34 # Condensation attempts : 0 61.01/61.34 # Condensation successes : 0 61.01/61.34 # Termbank termtop insertions : 2589370 61.01/61.35 61.01/61.35 # ------------------------------------------------- 61.01/61.35 # User time : 59.406 s 61.01/61.35 # System time : 1.493 s 61.01/61.35 # Total time : 60.899 s 61.01/61.35 # Maximum resident set size: 2228 pages 61.01/61.35 EOF