0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % 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 0.12/0.33 % Computer : n018.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Jul 13 15:34:53 EDT 2021 0.12/0.33 % CPUTime : 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.33 # Version: 2.6rc1-ho 0.12/0.34 # No SInE strategy applied 0.12/0.34 # Trying AutoSched0 for 59 seconds 0.18/0.55 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.18/0.55 # and selection function SelectMaxLComplexAvoidPosPred. 0.18/0.55 # 0.18/0.55 # Preprocessing time : 0.070 s 0.18/0.55 0.18/0.55 # Proof found! 0.18/0.55 # SZS status Theorem 0.18/0.55 # SZS output start CNFRefutation 0.18/0.55 thf(def_d_not, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)). 0.18/0.55 thf(def_imp, axiom, (imp)=(^[X34:$o, X35:$o]:(X34=>X35)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)). 0.18/0.55 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)). 0.18/0.55 thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.18/0.55 thf(def_non, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)). 0.18/0.55 thf(def_l_some, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X416:$i]:(in @ X416 @ X1=>(X2 @ X416=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)). 0.18/0.55 thf(def_n_is, axiom, (n_is)=(^[X492:$i, X493:$i]:(X492)=(X493)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.18/0.55 thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.18/0.55 thf(def_n_some, axiom, (n_some)=(^[X494:$i > $o]:(![X495:$i]:(in @ X495 @ nat=>(X494 @ X495=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)). 0.18/0.55 thf(def_diffprop, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_diffprop)). 0.18/0.55 thf(def_d_29_ii, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X516:$i]:(in @ X516 @ nat=>((X1)=(n_pl @ X184 @ X516)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)). 0.18/0.55 thf(satz18b, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:d_29_ii @ (ordsucc @ X1) @ X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz18b)). 0.18/0.55 thf(satz4e, axiom, 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)). 0.18/0.55 thf(n_1_p, axiom, is_of @ n_1 @ (^[X1:$i]:in @ X1 @ nat), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', n_1_p)). 0.18/0.55 thf(c_0_14, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), inference(apply_def,[status(thm)],[def_d_not, def_imp])). 0.18/0.55 thf(c_0_15, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), inference(apply_def,[status(thm)],[def_all_of, def_is_of])). 0.18/0.55 thf(c_0_16, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), inference(apply_def,[status(thm)],[def_non, c_0_14])). 0.18/0.55 thf(c_0_17, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X416:$i]:(in @ X416 @ X1=>(X2 @ X416=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_some, c_0_15]), c_0_14]), c_0_16])). 0.18/0.55 thf(c_0_18, axiom, (n_is)=(^[X492:$i, X493:$i]:(X492)=(X493)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])). 0.18/0.55 thf(c_0_19, axiom, (n_some)=(^[X494:$i > $o]:(![X495:$i]:(in @ X495 @ nat=>(X494 @ X495=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_n_some, c_0_17])). 0.18/0.55 thf(c_0_20, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), inference(apply_def,[status(thm)],[def_diffprop, c_0_18])). 0.18/0.55 thf(c_0_21, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X516:$i]:(in @ X516 @ nat=>((X1)=(n_pl @ X184 @ X516)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_d_29_ii, c_0_19]), c_0_20])). 0.18/0.55 thf(c_0_22, negated_conjecture, ~(![X806:$i]:(in @ X806 @ nat=>~(![X810:$i]:(in @ X810 @ nat=>(ordsucc @ X806)!=(n_pl @ X806 @ X810))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz18b]), c_0_15]), c_0_21])])). 0.18/0.55 thf(c_0_23, plain, ![X1150:$i]:(in @ X1150 @ nat=>(ordsucc @ X1150)=(n_pl @ X1150 @ n_1)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz4e, c_0_15]), c_0_18])). 0.18/0.55 thf(c_0_24, negated_conjecture, ![X1894:$i]:(in @ esk42_0 @ nat&(~in @ X1894 @ nat|(ordsucc @ esk42_0)!=(n_pl @ esk42_0 @ X1894))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])). 0.18/0.55 thf(c_0_25, plain, ![X1956:$i]:(~in @ X1956 @ nat|(ordsucc @ X1956)=(n_pl @ X1956 @ n_1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])). 0.18/0.55 thf(c_0_26, negated_conjecture, ![X1:$i]:(~in @ X1 @ nat|(ordsucc @ esk42_0)!=(n_pl @ esk42_0 @ X1)), inference(split_conjunct,[status(thm)],[c_0_24])). 0.18/0.55 thf(c_0_27, plain, ![X1:$i]:((ordsucc @ X1)=(n_pl @ X1 @ n_1)|~in @ X1 @ nat), inference(split_conjunct,[status(thm)],[c_0_25])). 0.18/0.55 thf(c_0_28, negated_conjecture, in @ esk42_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_24])). 0.18/0.55 thf(c_0_29, plain, in @ n_1 @ nat, inference(apply_def,[status(thm)],[n_1_p, def_is_of])). 0.18/0.55 thf(c_0_30, negated_conjecture, ![X1:$i]:((n_pl @ esk42_0 @ n_1)!=(n_pl @ esk42_0 @ X1)|~in @ X1 @ nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])). 0.18/0.55 thf(c_0_31, plain, in @ n_1 @ nat, inference(split_conjunct,[status(thm)],[c_0_29])). 0.18/0.55 thf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_30]), c_0_31])]), ['proof']). 0.18/0.55 # SZS output end CNFRefutation 0.18/0.55 # Proof object total steps : 33 0.18/0.55 # Proof object clause steps : 6 0.18/0.55 # Proof object formula steps : 27 0.18/0.55 # Proof object conjectures : 7 0.18/0.55 # Proof object clause conjectures : 4 0.18/0.55 # Proof object formula conjectures : 3 0.18/0.55 # Proof object initial clauses used : 4 0.18/0.55 # Proof object initial formulas used : 14 0.18/0.55 # Proof object generating inferences : 2 0.18/0.55 # Proof object simplifying inferences : 4 0.18/0.55 # Training examples: 0 positive, 0 negative 0.18/0.55 # Parsed axioms : 367 0.18/0.55 # Removed by relevancy pruning/SinE : 0 0.18/0.55 # Initial clauses : 537 0.18/0.55 # Removed in clause preprocessing : 155 0.18/0.55 # Initial clauses in saturation : 382 0.18/0.55 # Processed clauses : 409 0.18/0.55 # ...of these trivial : 8 0.18/0.55 # ...subsumed : 26 0.18/0.55 # ...remaining for further processing : 375 0.18/0.55 # Other redundant clauses eliminated : 559 0.18/0.55 # Clauses deleted for lack of memory : 0 0.18/0.55 # Backward-subsumed : 0 0.18/0.55 # Backward-rewritten : 2 0.18/0.55 # Generated clauses : 4265 0.18/0.55 # ...of the previous two non-trivial : 3636 0.18/0.55 # Contextual simplify-reflections : 0 0.18/0.55 # Paramodulations : 3481 0.18/0.55 # Factorizations : 0 0.18/0.55 # NegExts : 1 0.18/0.55 # Equation resolutions : 596 0.18/0.55 # Propositional unsat checks : 0 0.18/0.55 # Propositional check models : 0 0.18/0.55 # Propositional check unsatisfiable : 0 0.18/0.55 # Propositional clauses : 0 0.18/0.55 # Propositional clauses after purity: 0 0.18/0.55 # Propositional unsat core size : 0 0.18/0.55 # Propositional preprocessing time : 0.000 0.18/0.55 # Propositional encoding time : 0.000 0.18/0.55 # Propositional solver time : 0.000 0.18/0.55 # Success case prop preproc time : 0.000 0.18/0.55 # Success case prop encoding time : 0.000 0.18/0.55 # Success case prop solver time : 0.000 0.18/0.55 # Current number of processed clauses : 342 0.18/0.55 # Positive orientable unit clauses : 75 0.18/0.55 # Positive unorientable unit clauses: 3 0.18/0.55 # Negative unit clauses : 4 0.18/0.55 # Non-unit-clauses : 260 0.18/0.55 # Current number of unprocessed clauses: 3609 0.18/0.55 # ...number of literals in the above : 18130 0.18/0.55 # Current number of archived formulas : 0 0.18/0.55 # Current number of archived clauses : 2 0.18/0.55 # Clause-clause subsumption calls (NU) : 26531 0.18/0.55 # Rec. Clause-clause subsumption calls : 4023 0.18/0.55 # Non-unit clause-clause subsumptions : 24 0.18/0.55 # Unit Clause-clause subsumption calls : 3158 0.18/0.55 # Rewrite failures with RHS unbound : 2 0.18/0.55 # BW rewrite match attempts : 23 0.18/0.55 # BW rewrite match successes : 2 0.18/0.55 # Condensation attempts : 0 0.18/0.55 # Condensation successes : 0 0.18/0.55 # Termbank termtop insertions : 134737 0.18/0.55 0.18/0.55 # ------------------------------------------------- 0.18/0.55 # User time : 0.203 s 0.18/0.55 # System time : 0.011 s 0.18/0.55 # Total time : 0.214 s 0.18/0.55 # Maximum resident set size: 2212 pages 0.18/0.55 EOF