0.04/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % 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 0.11/0.32 % Computer : n025.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Jul 13 14:14:12 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 # Version: 2.6rc1-ho 0.11/0.34 # No SInE strategy applied 0.11/0.34 # Trying AutoSched0 for 59 seconds 0.37/0.57 # AutoSched0-Mode selected heuristic G_E___200_C45_F1_SE_CS_SP_PI_CO_S0V 0.37/0.57 # and selection function PSelectComplexExceptRRHorn. 0.37/0.57 # 0.37/0.57 # Preprocessing time : 0.093 s 0.37/0.57 0.37/0.57 # Proof found! 0.37/0.57 # SZS status Theorem 0.37/0.57 # SZS output start CNFRefutation 0.37/0.57 thf(fact_293_Product__Type_Oproduct__def, axiom, (product_product_a_a)=(^[X345:set_a, X346:set_a]:product_Sigma_a_a @ X345 @ (^[X17:a]:X346)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_293_Product__Type_Oproduct__def)). 0.37/0.57 thf(fact_27_rev__finite__subset, axiom, ![X9:set_Product_prod_a_a, X239:set_Product_prod_a_a]:((ord_le1824328871od_a_a @ X239 @ X9=>finite179568208od_a_a @ X239)<=finite179568208od_a_a @ X9), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_27_rev__finite__subset)). 0.37/0.57 thf(fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062, axiom, ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[X17:a]:pair_p1047056820t_unit @ g)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062)). 0.37/0.57 thf(fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062, axiom, finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[X17:a]:pair_p1047056820t_unit @ g)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062)). 0.37/0.57 thf(conj_0, conjecture, finite179568208od_a_a @ (pair_p133601421t_unit @ g), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.37/0.57 thf(c_0_5, plain, ![X17:a, X81:set_a]:(esk3_2 @ X81 @ X17)=(X81), introduced(definition)). 0.37/0.57 thf(c_0_6, plain, ![X345:set_a, X346:set_a]:(product_product_a_a @ X345 @ X346)=(product_Sigma_a_a @ X345 @ (esk3_2 @ X346)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_293_Product__Type_Oproduct__def]), c_0_5])). 0.37/0.57 thf(c_0_7, plain, ![X9:set_Product_prod_a_a, X239:set_Product_prod_a_a]:(finite179568208od_a_a @ X9=>(ord_le1824328871od_a_a @ X239 @ X9=>finite179568208od_a_a @ X239)), inference(fof_simplification,[status(thm)],[fact_27_rev__finite__subset])). 0.37/0.57 thf(c_0_8, axiom, ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (esk3_2 @ (pair_p1047056820t_unit @ g))), inference(apply_def,[status(thm)],[fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062, c_0_5])). 0.37/0.57 thf(c_0_9, plain, ![X2211:set_a, X2212:set_a]:(product_product_a_a @ X2211 @ X2212)=(product_Sigma_a_a @ X2211 @ (esk3_2 @ X2212)), inference(variable_rename,[status(thm)],[c_0_6])). 0.37/0.57 thf(c_0_10, axiom, finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (esk3_2 @ (pair_p1047056820t_unit @ g))), inference(apply_def,[status(thm)],[fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062, c_0_5])). 0.37/0.57 thf(c_0_11, plain, ![X2095:set_Product_prod_a_a, X2096:set_Product_prod_a_a]:(~finite179568208od_a_a @ X2095|(~ord_le1824328871od_a_a @ X2096 @ X2095|finite179568208od_a_a @ X2096)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.37/0.57 thf(c_0_12, plain, ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (esk3_2 @ (pair_p1047056820t_unit @ g))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.37/0.57 thf(c_0_13, plain, ![X15:set_a, X23:set_a]:(product_product_a_a @ X15 @ X23)=(product_Sigma_a_a @ X15 @ (esk3_2 @ X23)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.37/0.57 thf(c_0_14, negated_conjecture, ~finite179568208od_a_a @ (pair_p133601421t_unit @ g), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.37/0.57 thf(c_0_15, plain, finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (esk3_2 @ (pair_p1047056820t_unit @ g))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.37/0.57 thf(c_0_16, plain, ![X19:set_Product_prod_a_a, X9:set_Product_prod_a_a]:(finite179568208od_a_a @ X19|~finite179568208od_a_a @ X9|~ord_le1824328871od_a_a @ X19 @ X9), inference(split_conjunct,[status(thm)],[c_0_11])). 0.37/0.57 thf(c_0_17, plain, ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_product_a_a @ (pair_p1047056820t_unit @ g) @ (pair_p1047056820t_unit @ g)), inference(rw,[status(thm)],[c_0_12, c_0_13])). 0.37/0.57 thf(c_0_18, negated_conjecture, ~finite179568208od_a_a @ (pair_p133601421t_unit @ g), inference(split_conjunct,[status(thm)],[c_0_14])). 0.37/0.57 thf(c_0_19, plain, finite179568208od_a_a @ (product_product_a_a @ (pair_p1047056820t_unit @ g) @ (pair_p1047056820t_unit @ g)), inference(rw,[status(thm)],[c_0_15, c_0_13])). 0.37/0.57 thf(c_0_20, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])]), ['proof']). 0.37/0.57 # SZS output end CNFRefutation 0.37/0.57 # Proof object total steps : 21 0.37/0.57 # Proof object clause steps : 8 0.37/0.57 # Proof object formula steps : 13 0.37/0.57 # Proof object conjectures : 3 0.37/0.57 # Proof object clause conjectures : 1 0.37/0.57 # Proof object formula conjectures : 2 0.37/0.57 # Proof object initial clauses used : 5 0.37/0.57 # Proof object initial formulas used : 5 0.37/0.57 # Proof object generating inferences : 1 0.37/0.57 # Proof object simplifying inferences : 5 0.37/0.57 # Training examples: 0 positive, 0 negative 0.37/0.57 # Parsed axioms : 493 0.37/0.57 # Removed by relevancy pruning/SinE : 0 0.37/0.57 # Initial clauses : 977 0.37/0.57 # Removed in clause preprocessing : 152 0.37/0.57 # Initial clauses in saturation : 825 0.37/0.57 # Processed clauses : 848 0.37/0.57 # ...of these trivial : 13 0.37/0.57 # ...subsumed : 164 0.37/0.57 # ...remaining for further processing : 670 0.37/0.57 # Other redundant clauses eliminated : 230 0.37/0.57 # Clauses deleted for lack of memory : 0 0.37/0.57 # Backward-subsumed : 1 0.37/0.57 # Backward-rewritten : 1 0.37/0.57 # Generated clauses : 2425 0.37/0.57 # ...of the previous two non-trivial : 1778 0.37/0.57 # Contextual simplify-reflections : 0 0.37/0.57 # Paramodulations : 1678 0.37/0.57 # Factorizations : 32 0.37/0.57 # NegExts : 0 0.37/0.57 # Equation resolutions : 233 0.37/0.57 # Propositional unsat checks : 0 0.37/0.57 # Propositional check models : 0 0.37/0.57 # Propositional check unsatisfiable : 0 0.37/0.57 # Propositional clauses : 0 0.37/0.57 # Propositional clauses after purity: 0 0.37/0.57 # Propositional unsat core size : 0 0.37/0.57 # Propositional preprocessing time : 0.000 0.37/0.57 # Propositional encoding time : 0.000 0.37/0.57 # Propositional solver time : 0.000 0.37/0.57 # Success case prop preproc time : 0.000 0.37/0.57 # Success case prop encoding time : 0.000 0.37/0.57 # Success case prop solver time : 0.000 0.37/0.57 # Current number of processed clauses : 556 0.37/0.57 # Positive orientable unit clauses : 47 0.37/0.57 # Positive unorientable unit clauses: 0 0.37/0.57 # Negative unit clauses : 9 0.37/0.57 # Non-unit-clauses : 500 0.37/0.57 # Current number of unprocessed clauses: 1753 0.37/0.57 # ...number of literals in the above : 5959 0.37/0.57 # Current number of archived formulas : 0 0.37/0.57 # Current number of archived clauses : 2 0.37/0.57 # Clause-clause subsumption calls (NU) : 115653 0.37/0.57 # Rec. Clause-clause subsumption calls : 72898 0.37/0.57 # Non-unit clause-clause subsumptions : 168 0.37/0.57 # Unit Clause-clause subsumption calls : 3595 0.37/0.57 # Rewrite failures with RHS unbound : 0 0.37/0.57 # BW rewrite match attempts : 5 0.37/0.57 # BW rewrite match successes : 2 0.37/0.57 # Condensation attempts : 848 0.37/0.57 # Condensation successes : 12 0.37/0.57 # Termbank termtop insertions : 105779 0.39/0.57 0.39/0.57 # ------------------------------------------------- 0.39/0.57 # User time : 0.225 s 0.39/0.57 # System time : 0.011 s 0.39/0.57 # Total time : 0.236 s 0.39/0.57 # Maximum resident set size: 2888 pages 0.39/0.57 EOF