0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % 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 0.15/0.35 % Computer : n008.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1200 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Jul 13 13:42:44 EDT 2021 0.15/0.35 % CPUTime : 0.15/0.35 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 # Version: 2.6rc1-ho 0.15/0.36 # No SInE strategy applied 0.15/0.36 # Trying AutoSched0 for 59 seconds 0.21/0.42 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.21/0.42 # and selection function SelectMaxLComplexAvoidPosPred. 0.21/0.42 # 0.21/0.42 # Preprocessing time : 0.051 s 0.21/0.42 0.21/0.42 # Proof found! 0.21/0.42 # SZS status Theorem 0.21/0.42 # SZS output start CNFRefutation 0.21/0.42 thf(def_all_of, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_all_of)). 0.21/0.42 thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.21/0.42 thf(def_n_is, axiom, (n_is)=(^[X414:$i, X415:$i]:(X414)=(X415)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.21/0.42 thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.21/0.42 thf(satz4e, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz4e)). 0.21/0.42 thf(satz4a, axiom, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:n_is @ (n_pl @ X1 @ n_1) @ (ordsucc @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz4a)). 0.21/0.42 thf(c_0_6, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), inference(apply_def,[status(thm)],[def_all_of, def_is_of])). 0.21/0.42 thf(c_0_7, axiom, (n_is)=(^[X414:$i, X415:$i]:(X414)=(X415)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])). 0.21/0.42 thf(c_0_8, negated_conjecture, ~(![X628:$i]:(in @ X628 @ nat=>(ordsucc @ X628)=(n_pl @ X628 @ n_1))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz4e]), c_0_6]), c_0_7])). 0.21/0.42 thf(c_0_9, plain, ![X684:$i]:(in @ X684 @ nat=>(n_pl @ X684 @ n_1)=(ordsucc @ X684)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz4a, c_0_6]), c_0_7])). 0.21/0.42 thf(c_0_10, negated_conjecture, (in @ esk40_0 @ nat&(ordsucc @ esk40_0)!=(n_pl @ esk40_0 @ n_1)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 0.21/0.42 thf(c_0_11, plain, ![X1090:$i]:(~in @ X1090 @ nat|(n_pl @ X1090 @ n_1)=(ordsucc @ X1090)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.21/0.42 thf(c_0_12, negated_conjecture, (ordsucc @ esk40_0)!=(n_pl @ esk40_0 @ n_1), inference(split_conjunct,[status(thm)],[c_0_10])). 0.21/0.42 thf(c_0_13, plain, ![X1:$i]:((n_pl @ X1 @ n_1)=(ordsucc @ X1)|~in @ X1 @ nat), inference(split_conjunct,[status(thm)],[c_0_11])). 0.21/0.42 thf(c_0_14, negated_conjecture, in @ esk40_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_10])). 0.21/0.42 thf(c_0_15, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])]), ['proof']). 0.21/0.42 # SZS output end CNFRefutation 0.21/0.42 # Proof object total steps : 16 0.21/0.42 # Proof object clause steps : 4 0.21/0.42 # Proof object formula steps : 12 0.21/0.42 # Proof object conjectures : 6 0.21/0.42 # Proof object clause conjectures : 3 0.21/0.42 # Proof object formula conjectures : 3 0.21/0.42 # Proof object initial clauses used : 3 0.21/0.42 # Proof object initial formulas used : 6 0.21/0.42 # Proof object generating inferences : 1 0.21/0.42 # Proof object simplifying inferences : 2 0.21/0.42 # Training examples: 0 positive, 0 negative 0.21/0.42 # Parsed axioms : 311 0.21/0.42 # Removed by relevancy pruning/SinE : 0 0.21/0.42 # Initial clauses : 419 0.21/0.42 # Removed in clause preprocessing : 139 0.21/0.42 # Initial clauses in saturation : 280 0.21/0.42 # Processed clauses : 14 0.21/0.42 # ...of these trivial : 0 0.21/0.42 # ...subsumed : 0 0.21/0.42 # ...remaining for further processing : 14 0.21/0.42 # Other redundant clauses eliminated : 0 0.21/0.42 # Clauses deleted for lack of memory : 0 0.21/0.42 # Backward-subsumed : 0 0.21/0.42 # Backward-rewritten : 0 0.21/0.42 # Generated clauses : 6 0.21/0.42 # ...of the previous two non-trivial : 5 0.21/0.42 # Contextual simplify-reflections : 0 0.21/0.42 # Paramodulations : 3 0.21/0.42 # Factorizations : 0 0.21/0.42 # NegExts : 0 0.21/0.42 # Equation resolutions : 0 0.21/0.42 # Propositional unsat checks : 0 0.21/0.42 # Propositional check models : 0 0.21/0.42 # Propositional check unsatisfiable : 0 0.21/0.42 # Propositional clauses : 0 0.21/0.42 # Propositional clauses after purity: 0 0.21/0.42 # Propositional unsat core size : 0 0.21/0.42 # Propositional preprocessing time : 0.000 0.21/0.42 # Propositional encoding time : 0.000 0.21/0.42 # Propositional solver time : 0.000 0.21/0.42 # Success case prop preproc time : 0.000 0.21/0.42 # Success case prop encoding time : 0.000 0.21/0.42 # Success case prop solver time : 0.000 0.21/0.42 # Current number of processed clauses : 14 0.21/0.42 # Positive orientable unit clauses : 7 0.21/0.42 # Positive unorientable unit clauses: 0 0.21/0.42 # Negative unit clauses : 3 0.21/0.42 # Non-unit-clauses : 4 0.21/0.42 # Current number of unprocessed clauses: 271 0.21/0.42 # ...number of literals in the above : 711 0.21/0.42 # Current number of archived formulas : 0 0.21/0.42 # Current number of archived clauses : 0 0.21/0.42 # Clause-clause subsumption calls (NU) : 1 0.21/0.42 # Rec. Clause-clause subsumption calls : 1 0.21/0.42 # Non-unit clause-clause subsumptions : 0 0.21/0.42 # Unit Clause-clause subsumption calls : 3 0.21/0.42 # Rewrite failures with RHS unbound : 0 0.21/0.42 # BW rewrite match attempts : 0 0.21/0.42 # BW rewrite match successes : 0 0.21/0.42 # Condensation attempts : 0 0.21/0.42 # Condensation successes : 0 0.21/0.42 # Termbank termtop insertions : 32822 0.21/0.42 0.21/0.42 # ------------------------------------------------- 0.21/0.42 # User time : 0.052 s 0.21/0.42 # System time : 0.008 s 0.21/0.42 # Total time : 0.060 s 0.21/0.42 # Maximum resident set size: 2068 pages 0.21/0.42 EOF