0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % 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 0.14/0.36 % Computer : n021.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 14:28:25 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 0.23/0.49 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.23/0.49 # and selection function SelectMaxLComplexAvoidPosPred. 0.23/0.49 # 0.23/0.49 # Preprocessing time : 0.111 s 0.23/0.49 0.23/0.49 # Proof found! 0.23/0.49 # SZS status Theorem 0.23/0.49 # SZS output start CNFRefutation 0.23/0.49 thf(def_all_of, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_all_of)). 0.23/0.49 thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.23/0.49 thf(def_n_is, axiom, (n_is)=(^[X585:$i, X586:$i]:(X585)=(X586)), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.23/0.49 thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.23/0.49 thf(satz28e, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:n_is @ X1 @ (n_ts @ X1 @ n_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz28e)). 0.23/0.49 thf(satz28a, axiom, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:n_is @ (n_ts @ X1 @ n_1) @ X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz28a)). 0.23/0.49 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])). 0.23/0.49 thf(c_0_7, axiom, (n_is)=(^[X585:$i, X586:$i]:(X585)=(X586)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])). 0.23/0.49 thf(c_0_8, negated_conjecture, ~(![X1399:$i]:(in @ X1399 @ nat=>(X1399)=(n_ts @ X1399 @ n_1))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz28e]), c_0_6]), c_0_7])). 0.23/0.49 thf(c_0_9, plain, ![X1831:$i]:(in @ X1831 @ nat=>(n_ts @ X1831 @ n_1)=(X1831)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz28a, c_0_6]), c_0_7])). 0.23/0.49 thf(c_0_10, negated_conjecture, (in @ esk63_0 @ nat&(esk63_0)!=(n_ts @ esk63_0 @ n_1)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 0.23/0.49 thf(c_0_11, plain, ![X3379:$i]:(~in @ X3379 @ nat|(n_ts @ X3379 @ n_1)=(X3379)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.23/0.49 thf(c_0_12, negated_conjecture, (esk63_0)!=(n_ts @ esk63_0 @ n_1), inference(split_conjunct,[status(thm)],[c_0_10])). 0.23/0.49 thf(c_0_13, plain, ![X1:$i]:((n_ts @ X1 @ n_1)=(X1)|~in @ X1 @ nat), inference(split_conjunct,[status(thm)],[c_0_11])). 0.23/0.49 thf(c_0_14, negated_conjecture, in @ esk63_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_10])). 0.23/0.49 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']). 0.23/0.49 # SZS output end CNFRefutation 0.23/0.49 # Proof object total steps : 16 0.23/0.49 # Proof object clause steps : 4 0.23/0.49 # Proof object formula steps : 12 0.23/0.49 # Proof object conjectures : 6 0.23/0.49 # Proof object clause conjectures : 3 0.23/0.49 # Proof object formula conjectures : 3 0.23/0.49 # Proof object initial clauses used : 3 0.23/0.49 # Proof object initial formulas used : 6 0.23/0.49 # Proof object generating inferences : 1 0.23/0.49 # Proof object simplifying inferences : 2 0.23/0.49 # Training examples: 0 positive, 0 negative 0.23/0.49 # Parsed axioms : 436 0.23/0.49 # Removed by relevancy pruning/SinE : 0 0.23/0.49 # Initial clauses : 701 0.23/0.49 # Removed in clause preprocessing : 179 0.23/0.49 # Initial clauses in saturation : 522 0.23/0.49 # Processed clauses : 21 0.23/0.49 # ...of these trivial : 0 0.23/0.49 # ...subsumed : 0 0.23/0.49 # ...remaining for further processing : 21 0.23/0.49 # Other redundant clauses eliminated : 0 0.23/0.49 # Clauses deleted for lack of memory : 0 0.23/0.49 # Backward-subsumed : 0 0.23/0.49 # Backward-rewritten : 0 0.23/0.49 # Generated clauses : 10 0.23/0.49 # ...of the previous two non-trivial : 8 0.23/0.49 # Contextual simplify-reflections : 0 0.23/0.49 # Paramodulations : 5 0.23/0.49 # Factorizations : 0 0.23/0.49 # NegExts : 0 0.23/0.49 # Equation resolutions : 0 0.23/0.49 # Propositional unsat checks : 0 0.23/0.49 # Propositional check models : 0 0.23/0.49 # Propositional check unsatisfiable : 0 0.23/0.49 # Propositional clauses : 0 0.23/0.49 # Propositional clauses after purity: 0 0.23/0.49 # Propositional unsat core size : 0 0.23/0.49 # Propositional preprocessing time : 0.000 0.23/0.49 # Propositional encoding time : 0.000 0.23/0.49 # Propositional solver time : 0.000 0.23/0.49 # Success case prop preproc time : 0.000 0.23/0.49 # Success case prop encoding time : 0.000 0.23/0.49 # Success case prop solver time : 0.000 0.23/0.49 # Current number of processed clauses : 21 0.23/0.49 # Positive orientable unit clauses : 12 0.23/0.49 # Positive unorientable unit clauses: 0 0.23/0.49 # Negative unit clauses : 3 0.23/0.49 # Non-unit-clauses : 6 0.23/0.49 # Current number of unprocessed clauses: 509 0.23/0.49 # ...number of literals in the above : 2120 0.23/0.49 # Current number of archived formulas : 0 0.23/0.49 # Current number of archived clauses : 0 0.23/0.49 # Clause-clause subsumption calls (NU) : 3 0.23/0.49 # Rec. Clause-clause subsumption calls : 3 0.23/0.49 # Non-unit clause-clause subsumptions : 0 0.23/0.49 # Unit Clause-clause subsumption calls : 2 0.23/0.49 # Rewrite failures with RHS unbound : 0 0.23/0.49 # BW rewrite match attempts : 0 0.23/0.49 # BW rewrite match successes : 0 0.23/0.49 # Condensation attempts : 0 0.23/0.49 # Condensation successes : 0 0.23/0.49 # Termbank termtop insertions : 108024 0.23/0.49 0.23/0.49 # ------------------------------------------------- 0.23/0.49 # User time : 0.113 s 0.23/0.49 # System time : 0.017 s 0.23/0.49 # Total time : 0.130 s 0.23/0.49 # Maximum resident set size: 2388 pages 0.23/0.49 EOF