0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % 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 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:15:04 EDT 2021 0.13/0.34 % CPUTime : 0.20/0.34 % Number of cores: 8 0.20/0.34 % Python version: Python 3.6.8 0.20/0.34 # Version: 2.6rc1-ho 0.20/0.35 # No SInE strategy applied 0.20/0.35 # Trying AutoSched0 for 59 seconds 0.20/0.53 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.20/0.53 # and selection function SelectComplexExceptUniqMaxHorn. 0.20/0.53 # 0.20/0.53 # Preprocessing time : 0.030 s 0.20/0.53 # Presaturation interreduction done 0.20/0.53 0.20/0.53 # Proof found! 0.20/0.53 # SZS status Theorem 0.20/0.53 # SZS output start CNFRefutation 0.20/0.53 thf(multiplication_def, axiom, ![X11:$i > $o, X3:$i > $o]:(multiplication @ (sup @ X11) @ (sup @ X3))=(sup @ (crossmult @ X11 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', multiplication_def)). 0.20/0.53 thf(crossmult_def, axiom, (crossmult)=(^[X7:$i > $o, X3:$i > $o, X8:$i]:?[X9:$i, X10:$i]:((X7 @ X9&X3 @ X10)&(X8)=(multiplication @ X9 @ X10))), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', crossmult_def)). 0.20/0.53 thf(sup_es, axiom, (sup @ emptyset)=(zero), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', sup_es)). 0.20/0.53 thf(emptyset_def, axiom, (emptyset)=(^[X1:$i]:~$true), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', emptyset_def)). 0.20/0.53 thf(sup_singleset, axiom, ![X1:$i]:(sup @ (singleton @ X1))=(X1), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', sup_singleset)). 0.20/0.53 thf(singleton_def, axiom, (singleton)=(^[X1:$i, X4:$i]:(X4)=(X1)), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', singleton_def)). 0.20/0.53 thf(multiplication_anni, conjecture, ![X9:$i]:(multiplication @ X9 @ zero)=(zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p', multiplication_anni)). 0.20/0.53 thf(c_0_7, plain, ![X29:$i, X3:$i > $o, X11:$i > $o]:(epred3_3 @ X11 @ X3 @ X29<=>?[X30:$i, X31:$i]:((X11 @ X30&X3 @ X31)&(X29)=(multiplication @ X30 @ X31))), introduced(definition)). 0.20/0.53 thf(c_0_8, plain, ![X1:$i]:~epred4_1 @ X1, inference(fof_simplification,[status(thm)],[introduced(definition)])). 0.20/0.53 thf(c_0_9, plain, ![X11:$i > $o, X3:$i > $o]:(multiplication @ (sup @ X11) @ (sup @ X3))=(sup @ (epred3_3 @ X11 @ X3)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[multiplication_def, crossmult_def]), c_0_7])). 0.20/0.53 thf(c_0_10, plain, (sup @ epred4_1)=(zero), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[sup_es, emptyset_def]), c_0_8])). 0.20/0.53 thf(c_0_11, plain, ![X42:$i > $o, X43:$i > $o]:(multiplication @ (sup @ X42) @ (sup @ X43))=(sup @ (epred3_3 @ X42 @ X43)), inference(variable_rename,[status(thm)],[c_0_9])). 0.20/0.53 thf(c_0_12, plain, (sup @ epred4_1)=(zero), inference(split_conjunct,[status(thm)],[c_0_10])). 0.20/0.53 thf(c_0_13, plain, ![X2:$i > $o, X3:$i > $o]:(multiplication @ (sup @ X2) @ (sup @ X3))=(sup @ (epred3_3 @ X2 @ X3)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.53 thf(c_0_14, plain, ![X63:$i]:~epred4_1 @ X63, inference(variable_rename,[status(thm)],[c_0_8])). 0.20/0.53 thf(c_0_15, plain, ![X53:$i, X54:$i > $o, X55:$i > $o, X58:$i, X59:$i > $o, X60:$i > $o, X61:$i, X62:$i]:((((X55 @ (esk2_3 @ X53 @ X54 @ X55)|~epred3_3 @ X55 @ X54 @ X53)&(X54 @ (esk3_3 @ X53 @ X54 @ X55)|~epred3_3 @ X55 @ X54 @ X53))&((X53)=(multiplication @ (esk2_3 @ X53 @ X54 @ X55) @ (esk3_3 @ X53 @ X54 @ X55))|~epred3_3 @ X55 @ X54 @ X53))&(~X60 @ X61|~X59 @ X62|(X58)!=(multiplication @ X61 @ X62)|epred3_3 @ X60 @ X59 @ X58)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])). 0.20/0.53 thf(c_0_16, plain, ![X2:$i > $o, X3:$i > $o]:((multiplication @ (sup @ X2) @ (sup @ X3))=(zero)|(epred3_3 @ X2 @ X3)!=(epred4_1)), inference(ext_sup,[status(thm)],[c_0_12, c_0_13])). 0.20/0.53 thf(c_0_17, plain, ![X28:$i, X1:$i]:(epred2_2 @ X1 @ X28<=>(X28)=(X1)), introduced(definition)). 0.20/0.53 thf(c_0_18, plain, ![X1:$i]:~epred4_1 @ X1, inference(split_conjunct,[status(thm)],[c_0_14])). 0.20/0.53 thf(c_0_19, plain, ![X3:$i > $o, X2:$i > $o, X1:$i]:(X2 @ (esk3_3 @ X1 @ X2 @ X3)|~epred3_3 @ X3 @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_15])). 0.20/0.53 thf(c_0_20, plain, ![X2:$i > $o, X3:$i > $o]:((multiplication @ (sup @ X2) @ (sup @ X3))=(zero)|(epred3_3 @ X2 @ X3 @ (esk23_2 @ X2 @ X3))!=(epred4_1 @ (esk23_2 @ X2 @ X3))), inference(neg_ext,[status(thm)],[c_0_16])). 0.20/0.53 thf(c_0_21, plain, ![X1:$i]:(sup @ (epred2_2 @ X1))=(X1), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[sup_singleset, singleton_def]), c_0_17])). 0.20/0.53 thf(c_0_22, negated_conjecture, ~(![X9:$i]:(multiplication @ X9 @ zero)=(zero)), inference(assume_negation,[status(cth)],[multiplication_anni])). 0.20/0.53 thf(c_0_23, plain, ![X2:$i > $o, X1:$i]:~epred3_3 @ X2 @ epred4_1 @ X1, inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.20/0.53 thf(c_0_24, plain, ![X2:$i > $o, X3:$i > $o]:((multiplication @ (sup @ X2) @ (sup @ X3))=(zero)|epred3_3 @ X2 @ X3 @ (esk23_2 @ X2 @ X3)), inference(sr,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_20]), c_0_18])). 0.20/0.53 thf(c_0_25, plain, ![X41:$i]:(sup @ (epred2_2 @ X41))=(X41), inference(variable_rename,[status(thm)],[c_0_21])). 0.20/0.53 thf(c_0_26, negated_conjecture, (multiplication @ esk1_0 @ zero)!=(zero), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 0.20/0.53 thf(c_0_27, plain, ![X2:$i > $o]:(multiplication @ (sup @ X2) @ zero)=(zero), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_12])). 0.20/0.53 thf(c_0_28, plain, ![X1:$i]:(sup @ (epred2_2 @ X1))=(X1), inference(split_conjunct,[status(thm)],[c_0_25])). 0.20/0.53 thf(c_0_29, negated_conjecture, (multiplication @ esk1_0 @ zero)!=(zero), inference(split_conjunct,[status(thm)],[c_0_26])). 0.20/0.53 thf(c_0_30, plain, ![X1:$i]:(multiplication @ X1 @ zero)=(zero), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.20/0.53 thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])]), ['proof']). 0.20/0.53 # SZS output end CNFRefutation 0.20/0.53 # Proof object total steps : 32 0.20/0.53 # Proof object clause steps : 13 0.20/0.53 # Proof object formula steps : 19 0.20/0.53 # Proof object conjectures : 5 0.20/0.53 # Proof object clause conjectures : 2 0.20/0.53 # Proof object formula conjectures : 3 0.20/0.53 # Proof object initial clauses used : 6 0.20/0.53 # Proof object initial formulas used : 7 0.20/0.53 # Proof object generating inferences : 3 0.20/0.53 # Proof object simplifying inferences : 4 0.20/0.53 # Training examples: 0 positive, 0 negative 0.20/0.53 # Parsed axioms : 27 0.20/0.53 # Removed by relevancy pruning/SinE : 0 0.20/0.53 # Initial clauses : 38 0.20/0.53 # Removed in clause preprocessing : 12 0.20/0.53 # Initial clauses in saturation : 26 0.20/0.53 # Processed clauses : 1353 0.20/0.53 # ...of these trivial : 5 0.20/0.53 # ...subsumed : 799 0.20/0.53 # ...remaining for further processing : 549 0.20/0.53 # Other redundant clauses eliminated : 2849 0.20/0.53 # Clauses deleted for lack of memory : 0 0.20/0.53 # Backward-subsumed : 9 0.20/0.53 # Backward-rewritten : 27 0.20/0.53 # Generated clauses : 10325 0.20/0.53 # ...of the previous two non-trivial : 6981 0.20/0.53 # Contextual simplify-reflections : 0 0.20/0.53 # Paramodulations : 1476 0.20/0.53 # Factorizations : 4 0.20/0.53 # NegExts : 492 0.20/0.53 # Equation resolutions : 2849 0.20/0.53 # Propositional unsat checks : 0 0.20/0.53 # Propositional check models : 0 0.20/0.53 # Propositional check unsatisfiable : 0 0.20/0.53 # Propositional clauses : 0 0.20/0.53 # Propositional clauses after purity: 0 0.20/0.53 # Propositional unsat core size : 0 0.20/0.53 # Propositional preprocessing time : 0.000 0.20/0.53 # Propositional encoding time : 0.000 0.20/0.53 # Propositional solver time : 0.000 0.20/0.53 # Success case prop preproc time : 0.000 0.20/0.53 # Success case prop encoding time : 0.000 0.20/0.53 # Success case prop solver time : 0.000 0.20/0.53 # Current number of processed clauses : 454 0.20/0.53 # Positive orientable unit clauses : 11 0.20/0.53 # Positive unorientable unit clauses: 0 0.20/0.53 # Negative unit clauses : 125 0.20/0.53 # Non-unit-clauses : 318 0.20/0.53 # Current number of unprocessed clauses: 5671 0.20/0.53 # ...number of literals in the above : 26830 0.20/0.53 # Current number of archived formulas : 0 0.20/0.53 # Current number of archived clauses : 90 0.20/0.53 # Clause-clause subsumption calls (NU) : 18964 0.20/0.53 # Rec. Clause-clause subsumption calls : 9379 0.20/0.53 # Non-unit clause-clause subsumptions : 425 0.20/0.53 # Unit Clause-clause subsumption calls : 2580 0.20/0.53 # Rewrite failures with RHS unbound : 0 0.20/0.53 # BW rewrite match attempts : 11 0.20/0.53 # BW rewrite match successes : 7 0.20/0.53 # Condensation attempts : 0 0.20/0.53 # Condensation successes : 0 0.20/0.53 # Termbank termtop insertions : 108050 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.172 s 0.20/0.53 # System time : 0.014 s 0.20/0.53 # Total time : 0.187 s 0.20/0.53 # Maximum resident set size: 1680 pages 0.20/0.53 EOF