0.08/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.18 % 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 0.14/0.38 % Computer : n029.cluster.edu 0.14/0.38 % Model : x86_64 x86_64 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.38 % Memory : 8042.1875MB 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.38 % CPULimit : 1200 0.14/0.38 % WCLimit : 120 0.14/0.38 % DateTime : Tue Jul 13 15:29:40 EDT 2021 0.14/0.38 % CPUTime : 0.14/0.38 % Number of cores: 8 0.14/0.38 % Python version: Python 3.6.8 0.14/0.38 # Version: 2.6rc1-ho 0.14/0.40 # No SInE strategy applied 0.14/0.40 # Trying AutoSched0 for 59 seconds 0.20/0.50 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.20/0.50 # and selection function SelectMaxLComplexAvoidPosPred. 0.20/0.50 # 0.20/0.50 # Preprocessing time : 0.092 s 0.20/0.50 0.20/0.50 # Proof found! 0.20/0.50 # SZS status Theorem 0.20/0.50 # SZS output start CNFRefutation 0.20/0.50 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)). 0.20/0.50 thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.20/0.50 thf(def_n_is, axiom, (n_is)=(^[X589:$i, X590:$i]:(X589)=(X590)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.20/0.50 thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.20/0.50 thf(satz28h, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:all_of @ (^[X310:$i]:in @ X310 @ nat) @ (^[X311:$i]:n_is @ (n_pl @ (n_ts @ X1 @ X311) @ X311) @ (n_ts @ (ordsucc @ X1) @ X311))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz28h)). 0.20/0.50 thf(satz28d, axiom, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:all_of @ (^[X247:$i]:in @ X247 @ nat) @ (^[X248:$i]:n_is @ (n_ts @ (ordsucc @ X1) @ X248) @ (n_pl @ (n_ts @ X1 @ X248) @ X248))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz28d)). 0.20/0.50 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])). 0.20/0.50 thf(c_0_7, axiom, (n_is)=(^[X589:$i, X590:$i]:(X589)=(X590)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])). 0.20/0.50 thf(c_0_8, negated_conjecture, ~(![X2208:$i]:(in @ X2208 @ nat=>![X2212:$i]:(in @ X2212 @ nat=>(n_pl @ (n_ts @ X2208 @ X2212) @ X2212)=(n_ts @ (ordsucc @ X2208) @ X2212)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz28h]), c_0_6]), c_0_7])). 0.20/0.50 thf(c_0_9, plain, ![X1407:$i]:(in @ X1407 @ nat=>![X1411:$i]:(in @ X1411 @ nat=>(n_ts @ (ordsucc @ X1407) @ X1411)=(n_pl @ (n_ts @ X1407 @ X1411) @ X1411))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz28d, c_0_6]), c_0_7])). 0.20/0.50 thf(c_0_10, negated_conjecture, (in @ esk90_0 @ nat&(in @ esk91_0 @ nat&(n_pl @ (n_ts @ esk90_0 @ esk91_0) @ esk91_0)!=(n_ts @ (ordsucc @ esk90_0) @ esk91_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 0.20/0.50 thf(c_0_11, plain, ![X3320:$i, X3321:$i]:(~in @ X3320 @ nat|(~in @ X3321 @ nat|(n_ts @ (ordsucc @ X3320) @ X3321)=(n_pl @ (n_ts @ X3320 @ X3321) @ X3321))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 0.20/0.50 thf(c_0_12, negated_conjecture, (n_pl @ (n_ts @ esk90_0 @ esk91_0) @ esk91_0)!=(n_ts @ (ordsucc @ esk90_0) @ esk91_0), inference(split_conjunct,[status(thm)],[c_0_10])). 0.20/0.50 thf(c_0_13, plain, ![X1:$i, X4:$i]:((n_ts @ (ordsucc @ X1) @ X4)=(n_pl @ (n_ts @ X1 @ X4) @ X4)|~in @ X1 @ nat|~in @ X4 @ nat), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_14, negated_conjecture, in @ esk91_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_10])). 0.20/0.50 thf(c_0_15, negated_conjecture, in @ esk90_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_10])). 0.20/0.50 thf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15])]), ['proof']). 0.20/0.50 # SZS output end CNFRefutation 0.20/0.50 # Proof object total steps : 17 0.20/0.50 # Proof object clause steps : 5 0.20/0.50 # Proof object formula steps : 12 0.20/0.50 # Proof object conjectures : 7 0.20/0.50 # Proof object clause conjectures : 4 0.20/0.50 # Proof object formula conjectures : 3 0.20/0.50 # Proof object initial clauses used : 4 0.20/0.50 # Proof object initial formulas used : 6 0.20/0.50 # Proof object generating inferences : 1 0.20/0.50 # Proof object simplifying inferences : 3 0.20/0.50 # Training examples: 0 positive, 0 negative 0.20/0.50 # Parsed axioms : 439 0.20/0.50 # Removed by relevancy pruning/SinE : 0 0.20/0.50 # Initial clauses : 705 0.20/0.50 # Removed in clause preprocessing : 179 0.20/0.50 # Initial clauses in saturation : 526 0.20/0.50 # Processed clauses : 165 0.20/0.50 # ...of these trivial : 0 0.20/0.50 # ...subsumed : 15 0.20/0.50 # ...remaining for further processing : 150 0.20/0.50 # Other redundant clauses eliminated : 44 0.20/0.50 # Clauses deleted for lack of memory : 0 0.20/0.50 # Backward-subsumed : 0 0.20/0.50 # Backward-rewritten : 1 0.20/0.50 # Generated clauses : 463 0.20/0.50 # ...of the previous two non-trivial : 399 0.20/0.50 # Contextual simplify-reflections : 1 0.20/0.50 # Paramodulations : 366 0.20/0.50 # Factorizations : 0 0.20/0.50 # NegExts : 0 0.20/0.50 # Equation resolutions : 55 0.20/0.50 # Propositional unsat checks : 0 0.20/0.50 # Propositional check models : 0 0.20/0.50 # Propositional check unsatisfiable : 0 0.20/0.50 # Propositional clauses : 0 0.20/0.50 # Propositional clauses after purity: 0 0.20/0.50 # Propositional unsat core size : 0 0.20/0.50 # Propositional preprocessing time : 0.000 0.20/0.50 # Propositional encoding time : 0.000 0.20/0.50 # Propositional solver time : 0.000 0.20/0.50 # Success case prop preproc time : 0.000 0.20/0.50 # Success case prop encoding time : 0.000 0.20/0.50 # Success case prop solver time : 0.000 0.20/0.50 # Current number of processed clauses : 132 0.20/0.50 # Positive orientable unit clauses : 43 0.20/0.50 # Positive unorientable unit clauses: 0 0.20/0.50 # Negative unit clauses : 3 0.20/0.50 # Non-unit-clauses : 86 0.20/0.50 # Current number of unprocessed clauses: 744 0.20/0.50 # ...number of literals in the above : 3147 0.20/0.50 # Current number of archived formulas : 0 0.20/0.50 # Current number of archived clauses : 1 0.20/0.50 # Clause-clause subsumption calls (NU) : 3436 0.20/0.50 # Rec. Clause-clause subsumption calls : 1779 0.20/0.50 # Non-unit clause-clause subsumptions : 16 0.20/0.50 # Unit Clause-clause subsumption calls : 476 0.20/0.50 # Rewrite failures with RHS unbound : 0 0.20/0.50 # BW rewrite match attempts : 2 0.20/0.50 # BW rewrite match successes : 1 0.20/0.50 # Condensation attempts : 0 0.20/0.50 # Condensation successes : 0 0.20/0.50 # Termbank termtop insertions : 114414 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.103 s 0.20/0.50 # System time : 0.016 s 0.20/0.50 # Total time : 0.119 s 0.20/0.50 # Maximum resident set size: 2400 pages 0.20/0.50 EOF