0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % 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 : n007.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 12:26:50 EDT 2021 0.12/0.34 % CPUTime : 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.19/0.34 # Version: 2.6rc1-ho 0.19/0.34 # No SInE strategy applied 0.19/0.34 # Trying AutoSched0 for 59 seconds 0.19/0.39 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S087N 0.19/0.39 # and selection function SelectCQArNpEqFirstUnlessPDom. 0.19/0.39 # 0.19/0.39 # Preprocessing time : 0.030 s 0.19/0.39 # Presaturation interreduction done 0.19/0.39 0.19/0.39 # Proof found! 0.19/0.39 # SZS status Theorem 0.19/0.39 # SZS output start CNFRefutation 0.19/0.39 thf(dpsetconstrEL1, conjecture, ((![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i, X4:$i]:(in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X1 @ X5 @ (^[X9:$i, X7:$i]:X8 @ X9 @ X7))=>in @ X3 @ X1)<=cartprodpairmemEL)<=dsetconstrEL), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL1)). 0.19/0.39 thf(dsetconstrEL, axiom, (dsetconstrEL<=>![X1:$i, X2:$i > $o, X3:$i]:(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:X2 @ X4))=>in @ X3 @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)). 0.19/0.39 thf(cartprodpairmemEL, axiom, (cartprodpairmemEL<=>![X1:$i, X5:$i, X3:$i, X4:$i]:(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5)=>in @ X3 @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemEL)). 0.19/0.39 thf(dpsetconstr, axiom, (dpsetconstr)=(^[X1:$i, X5:$i, X6:$i > $i > $o]:dsetconstr @ (cartprod @ X1 @ X5) @ (^[X7:$i]:?[X3:$i]:(in @ X3 @ X1&?[X4:$i]:((in @ X4 @ X5&X6 @ X3 @ X4)&(X7)=(kpair @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstr)). 0.19/0.39 thf(c_0_4, plain, ![X4:$i, X2:$i > $o]:(epred3_2 @ X2 @ X4<=>X2 @ X4), introduced(definition)). 0.19/0.39 thf(c_0_5, plain, ![X7:$i, X9:$i, X8:$i > $i > $o]:(epred2_3 @ X8 @ X9 @ X7<=>X8 @ X9 @ X7), introduced(definition)). 0.19/0.39 thf(c_0_6, plain, ![X22:$i, X1:$i, X5:$i, X6:$i > $i > $o]:(epred1_4 @ X6 @ X5 @ X1 @ X22<=>?[X23:$i]:(in @ X23 @ X1&?[X24:$i]:((in @ X24 @ X5&X6 @ X23 @ X24)&(X22)=(kpair @ X23 @ X24)))), introduced(definition)). 0.19/0.39 thf(c_0_7, negated_conjecture, ~((![X1:$i, X2:$i > $o, X3:$i]:(in @ X3 @ (dsetconstr @ X1 @ (epred3_2 @ X2))=>in @ X3 @ X1)=>(![X1:$i, X5:$i, X3:$i, X4:$i]:(in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5)=>in @ X3 @ X1)=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i, X4:$i]:(in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X1 @ X5 @ (epred2_3 @ X8))=>in @ X3 @ X1)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[dpsetconstrEL1]), dsetconstrEL]), cartprodpairmemEL]), c_0_4]), c_0_5])])). 0.19/0.39 thf(c_0_8, plain, ![X1:$i, X5:$i, X6:$i > $i > $o]:(dpsetconstr @ X1 @ X5 @ X6)=(dsetconstr @ (cartprod @ X1 @ X5) @ (epred1_4 @ X6 @ X5 @ X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[dpsetconstr]), c_0_6])). 0.19/0.39 thf(c_0_9, negated_conjecture, ![X28:$i, X29:$i > $o, X30:$i, X31:$i, X32:$i, X33:$i, X34:$i]:((~in @ X30 @ (dsetconstr @ X28 @ (epred3_2 @ X29))|in @ X30 @ X28)&((~in @ (kpair @ X33 @ X34) @ (cartprod @ X31 @ X32)|in @ X33 @ X31)&(in @ (kpair @ esk3_0 @ esk4_0) @ (dpsetconstr @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))&~in @ esk3_0 @ esk1_0))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 0.19/0.39 thf(c_0_10, plain, ![X25:$i, X26:$i, X27:$i > $i > $o]:(dpsetconstr @ X25 @ X26 @ X27)=(dsetconstr @ (cartprod @ X25 @ X26) @ (epred1_4 @ X27 @ X26 @ X25)), inference(variable_rename,[status(thm)],[c_0_8])). 0.19/0.39 thf(c_0_11, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(in @ X1 @ X3|~in @ X1 @ (dsetconstr @ X3 @ (epred3_2 @ X2))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.39 thf(c_0_12, plain, ![X6:$i > $i > $o, X3:$i, X1:$i]:(dpsetconstr @ X1 @ X3 @ X6)=(dsetconstr @ (cartprod @ X1 @ X3) @ (epred1_4 @ X6 @ X3 @ X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.19/0.39 thf(c_0_13, plain, ![X1:$i, X2:$i > $o, X3:$i, X4:$i, X6:$i > $i > $o]:(in @ X1 @ (cartprod @ X3 @ X4)|(epred1_4 @ X6 @ X4 @ X3)!=(epred3_2 @ X2)|~in @ X1 @ (dpsetconstr @ X3 @ X4 @ X6)), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_11, c_0_12])])). 0.19/0.39 thf(c_0_14, plain, ![X2:$i > $o, X1:$i, X3:$i, X4:$i, X6:$i > $i > $o]:(in @ X1 @ (cartprod @ X3 @ X4)|(epred1_4 @ X6 @ X4 @ X3 @ (esk7_4 @ X2 @ X3 @ X4 @ X6))!=(epred3_2 @ X2 @ (esk7_4 @ X2 @ X3 @ X4 @ X6))|~in @ X1 @ (dpsetconstr @ X3 @ X4 @ X6)), inference(neg_ext,[status(thm)],[c_0_13])). 0.19/0.39 thf(c_0_15, plain, ![X55:$i, X56:$i > $o]:((~epred3_2 @ X56 @ X55|X56 @ X55)&(~X56 @ X55|epred3_2 @ X56 @ X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])). 0.19/0.39 thf(c_0_16, plain, ![X1:$i, X3:$i, X4:$i, X2:$i > $o, X6:$i > $i > $o]:(epred1_4 @ X6 @ X1 @ X3 @ (esk7_4 @ X2 @ X3 @ X1 @ X6)|epred3_2 @ X2 @ (esk7_4 @ X2 @ X3 @ X1 @ X6)|in @ X4 @ (cartprod @ X3 @ X1)|~in @ X4 @ (dpsetconstr @ X3 @ X1 @ X6)), inference(dynamic cnf,[status(thm)],[c_0_14])). 0.19/0.39 thf(c_0_17, negated_conjecture, in @ (kpair @ esk3_0 @ esk4_0) @ (dpsetconstr @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.39 thf(c_0_18, plain, ![X2:$i > $o, X1:$i]:(X2 @ X1|~epred3_2 @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_15])). 0.19/0.39 thf(c_0_19, negated_conjecture, ![X2:$i > $o]:(epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0 @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)|epred3_2 @ X2 @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.19/0.39 thf(c_0_20, plain, ![X2:$i > $o]:(epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0 @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)|X2 @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.19/0.39 thf(c_0_21, plain, ![X2:$i > $o, X1:$i]:(epred3_2 @ X2 @ X1|~X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_15])). 0.19/0.39 thf(c_0_22, plain, ![X2:$i > $o, X1:$i, X3:$i, X4:$i, X6:$i > $i > $o]:(in @ X1 @ (cartprod @ X3 @ X4)|~epred1_4 @ X6 @ X4 @ X3 @ (esk7_4 @ X2 @ X3 @ X4 @ X6)|~epred3_2 @ X2 @ (esk7_4 @ X2 @ X3 @ X4 @ X6)|~in @ X1 @ (dpsetconstr @ X3 @ X4 @ X6)), inference(dynamic cnf,[status(thm)],[c_0_14])). 0.19/0.39 thf(c_0_23, plain, (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0 @ (esk7_4 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)), inference(ef,[status(thm)],[c_0_20])). 0.19/0.39 thf(c_0_24, plain, ![X2:$i > $o]:(epred3_2 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|epred3_2 @ X2 @ (esk7_4 @ X2 @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_21, c_0_19])). 0.19/0.39 thf(c_0_25, plain, ![X1:$i]:(in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)|in @ X1 @ (cartprod @ esk1_0 @ esk2_0)|~epred3_2 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ (esk7_4 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|~in @ X1 @ (dpsetconstr @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.19/0.39 thf(c_0_26, plain, (epred3_2 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ (esk7_4 @ (epred1_4 @ (epred2_3 @ epred4_0) @ esk2_0 @ esk1_0) @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))|in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)), inference(ef,[status(thm)],[c_0_24])). 0.19/0.39 thf(c_0_27, plain, ![X1:$i]:(in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)|in @ X1 @ (cartprod @ esk1_0 @ esk2_0)|~in @ X1 @ (dpsetconstr @ esk1_0 @ esk2_0 @ (epred2_3 @ epred4_0))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.19/0.39 thf(c_0_28, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X5:$i]:(in @ X1 @ X4|~in @ (kpair @ X1 @ X3) @ (cartprod @ X4 @ X5)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.39 thf(c_0_29, negated_conjecture, in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0), inference(spm,[status(thm)],[c_0_27, c_0_17])). 0.19/0.39 thf(c_0_30, negated_conjecture, ~in @ esk3_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.39 thf(c_0_31, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), ['proof']). 0.19/0.39 # SZS output end CNFRefutation 0.19/0.39 # Proof object total steps : 32 0.19/0.39 # Proof object clause steps : 20 0.19/0.39 # Proof object formula steps : 12 0.19/0.39 # Proof object conjectures : 10 0.19/0.39 # Proof object clause conjectures : 7 0.19/0.39 # Proof object formula conjectures : 3 0.19/0.39 # Proof object initial clauses used : 7 0.19/0.39 # Proof object initial formulas used : 4 0.19/0.39 # Proof object generating inferences : 9 0.19/0.39 # Proof object simplifying inferences : 2 0.19/0.39 # Training examples: 0 positive, 0 negative 0.19/0.39 # Parsed axioms : 11 0.19/0.39 # Removed by relevancy pruning/SinE : 0 0.19/0.39 # Initial clauses : 21 0.19/0.39 # Removed in clause preprocessing : 7 0.19/0.39 # Initial clauses in saturation : 14 0.19/0.39 # Processed clauses : 131 0.19/0.39 # ...of these trivial : 0 0.19/0.39 # ...subsumed : 2 0.19/0.39 # ...remaining for further processing : 129 0.19/0.39 # Other redundant clauses eliminated : 8 0.19/0.39 # Clauses deleted for lack of memory : 0 0.19/0.39 # Backward-subsumed : 1 0.19/0.39 # Backward-rewritten : 9 0.19/0.39 # Generated clauses : 271 0.19/0.39 # ...of the previous two non-trivial : 167 0.19/0.39 # Contextual simplify-reflections : 0 0.19/0.39 # Paramodulations : 243 0.19/0.39 # Factorizations : 4 0.19/0.39 # NegExts : 1 0.19/0.39 # Equation resolutions : 8 0.19/0.39 # Propositional unsat checks : 0 0.19/0.39 # Propositional check models : 0 0.19/0.39 # Propositional check unsatisfiable : 0 0.19/0.39 # Propositional clauses : 0 0.19/0.39 # Propositional clauses after purity: 0 0.19/0.39 # Propositional unsat core size : 0 0.19/0.39 # Propositional preprocessing time : 0.000 0.19/0.39 # Propositional encoding time : 0.000 0.19/0.39 # Propositional solver time : 0.000 0.19/0.39 # Success case prop preproc time : 0.000 0.19/0.39 # Success case prop encoding time : 0.000 0.19/0.39 # Success case prop solver time : 0.000 0.19/0.39 # Current number of processed clauses : 103 0.19/0.39 # Positive orientable unit clauses : 86 0.19/0.39 # Positive unorientable unit clauses: 0 0.19/0.39 # Negative unit clauses : 1 0.19/0.39 # Non-unit-clauses : 16 0.19/0.39 # Current number of unprocessed clauses: 60 0.19/0.39 # ...number of literals in the above : 153 0.19/0.39 # Current number of archived formulas : 0 0.19/0.39 # Current number of archived clauses : 25 0.19/0.39 # Clause-clause subsumption calls (NU) : 262 0.19/0.39 # Rec. Clause-clause subsumption calls : 196 0.19/0.39 # Non-unit clause-clause subsumptions : 3 0.19/0.39 # Unit Clause-clause subsumption calls : 0 0.19/0.39 # Rewrite failures with RHS unbound : 0 0.19/0.39 # BW rewrite match attempts : 1403 0.19/0.39 # BW rewrite match successes : 1 0.19/0.39 # Condensation attempts : 0 0.19/0.39 # Condensation successes : 0 0.19/0.39 # Termbank termtop insertions : 7169 0.19/0.39 0.19/0.39 # ------------------------------------------------- 0.19/0.39 # User time : 0.039 s 0.19/0.39 # System time : 0.008 s 0.19/0.39 # Total time : 0.047 s 0.19/0.39 # Maximum resident set size: 1656 pages 0.19/0.39 EOF