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 0.12/0.34 % Computer : n007.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Jul 13 16:01:34 EDT 2021 0.20/0.34 % CPUTime : 0.20/0.35 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 # Version: 2.6rc1-ho 0.20/0.35 # No SInE strategy applied 0.20/0.35 # Trying AutoSched0 for 59 seconds 0.20/0.38 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.20/0.38 # and selection function SelectComplexExceptUniqMaxHorn. 0.20/0.38 # 0.20/0.38 # Preprocessing time : 0.031 s 0.20/0.38 # Presaturation interreduction done 0.20/0.38 0.20/0.38 # Proof found! 0.20/0.38 # SZS status Theorem 0.20/0.38 # SZS output start CNFRefutation 0.20/0.38 thf(breln1, axiom, (breln1)=(^[X1:$i, X4:$i]:subset @ X4 @ (cartprod @ X1 @ X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1)). 0.20/0.38 thf(breln, axiom, (breln)=(^[X1:$i, X2:$i, X3:$i]:subset @ X3 @ (cartprod @ X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln)). 0.20/0.38 thf(setOfPairsIsBReln1, axiom, (setOfPairsIsBReln1<=>![X1:$i, X5:$i > $i > $o]:breln1 @ X1 @ (dpsetconstr @ X1 @ X1 @ (^[X6:$i, X7:$i]:X5 @ X6 @ X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setOfPairsIsBReln1)). 0.20/0.38 thf(breln1compprop, conjecture, (setOfPairsIsBReln1=>![X1:$i, X4:$i]:(![X8:$i]:(breln1 @ X1 @ (breln1compset @ X1 @ X4 @ X8)<=breln1 @ X1 @ X8)<=breln1 @ X1 @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compprop)). 0.20/0.38 thf(breln1compset, axiom, (breln1compset)=(^[X1:$i, X4:$i, X8:$i]:dpsetconstr @ X1 @ X1 @ (^[X6:$i, X7:$i]:?[X9:$i]:((in @ X9 @ X1&in @ (kpair @ X6 @ X9) @ X4)&in @ (kpair @ X9 @ X7) @ X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1compset)). 0.20/0.38 thf(c_0_5, axiom, (breln1)=(^[X1:$i, X4:$i]:subset @ X4 @ (cartprod @ X1 @ X1)), inference(apply_def,[status(thm)],[breln1, breln])). 0.20/0.38 thf(c_0_6, axiom, (setOfPairsIsBReln1)=(![X1:$i, X5:$i > $i > $o]:subset @ (dpsetconstr @ X1 @ X1 @ (^[X6:$i, X7:$i]:X5 @ X6 @ X7)) @ (cartprod @ X1 @ X1)), inference(apply_def,[status(thm)],[setOfPairsIsBReln1, c_0_5])). 0.20/0.38 thf(c_0_7, plain, ![X7:$i, X6:$i, X5:$i > $i > $o]:(epred2_3 @ X5 @ X6 @ X7<=>X5 @ X6 @ X7), introduced(definition)). 0.20/0.38 thf(c_0_8, plain, ![X16:$i, X15:$i, X1:$i, X4:$i, X8:$i]:(epred1_5 @ X8 @ X4 @ X1 @ X15 @ X16<=>?[X17:$i]:((in @ X17 @ X1&in @ (kpair @ X15 @ X17) @ X4)&in @ (kpair @ X17 @ X16) @ X8)), introduced(definition)). 0.20/0.38 thf(c_0_9, negated_conjecture, ~((![X1:$i, X5:$i > $i > $o]:subset @ (dpsetconstr @ X1 @ X1 @ (epred2_3 @ X5)) @ (cartprod @ X1 @ X1)=>![X1:$i, X4:$i]:(subset @ X4 @ (cartprod @ X1 @ X1)=>![X8:$i]:(subset @ X8 @ (cartprod @ X1 @ X1)=>subset @ (breln1compset @ X1 @ X4 @ X8) @ (cartprod @ X1 @ X1))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1compprop]), c_0_5]), c_0_6]), c_0_7])])). 0.20/0.38 thf(c_0_10, plain, ![X1:$i, X4:$i, X8:$i]:(breln1compset @ X1 @ X4 @ X8)=(dpsetconstr @ X1 @ X1 @ (epred1_5 @ X8 @ X4 @ X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[breln1compset]), c_0_8])). 0.20/0.38 thf(c_0_11, negated_conjecture, ![X21:$i, X22:$i > $i > $o]:(subset @ (dpsetconstr @ X21 @ X21 @ (epred2_3 @ X22)) @ (cartprod @ X21 @ X21)&(subset @ esk2_0 @ (cartprod @ esk1_0 @ esk1_0)&(subset @ esk3_0 @ (cartprod @ esk1_0 @ esk1_0)&~subset @ (breln1compset @ esk1_0 @ esk2_0 @ esk3_0) @ (cartprod @ esk1_0 @ esk1_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])). 0.20/0.38 thf(c_0_12, plain, ![X18:$i, X19:$i, X20:$i]:(breln1compset @ X18 @ X19 @ X20)=(dpsetconstr @ X18 @ X18 @ (epred1_5 @ X20 @ X19 @ X18)), inference(variable_rename,[status(thm)],[c_0_10])). 0.20/0.38 thf(c_0_13, negated_conjecture, ![X5:$i > $i > $o, X1:$i]:subset @ (dpsetconstr @ X1 @ X1 @ (epred2_3 @ X5)) @ (cartprod @ X1 @ X1), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.38 thf(c_0_14, plain, ![X3:$i, X2:$i, X1:$i]:(breln1compset @ X1 @ X2 @ X3)=(dpsetconstr @ X1 @ X1 @ (epred1_5 @ X3 @ X2 @ X1)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.20/0.38 thf(c_0_15, plain, ![X1:$i, X2:$i, X3:$i, X5:$i > $i > $o]:(subset @ (breln1compset @ X1 @ X2 @ X3) @ (cartprod @ X1 @ X1)|(epred1_5 @ X3 @ X2 @ X1)!=(epred2_3 @ X5)), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_13, c_0_14])])). 0.20/0.38 thf(c_0_16, plain, ![X5:$i > $i > $o, X3:$i, X2:$i, X1:$i]:(subset @ (breln1compset @ X1 @ X2 @ X3) @ (cartprod @ X1 @ X1)|(epred1_5 @ X3 @ X2 @ X1 @ (esk5_4 @ X5 @ X3 @ X2 @ X1) @ (esk6_4 @ X5 @ X3 @ X2 @ X1))!=(epred2_3 @ X5 @ (esk5_4 @ X5 @ X3 @ X2 @ X1) @ (esk6_4 @ X5 @ X3 @ X2 @ X1))), inference(neg_ext,[status(thm)],[c_0_15])). 0.20/0.38 thf(c_0_17, plain, ![X38:$i, X39:$i, X40:$i > $i > $o]:((~epred2_3 @ X40 @ X39 @ X38|X40 @ X39 @ X38)&(~X40 @ X39 @ X38|epred2_3 @ X40 @ X39 @ X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.20/0.38 thf(c_0_18, negated_conjecture, ~subset @ (breln1compset @ esk1_0 @ esk2_0 @ esk3_0) @ (cartprod @ esk1_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.38 thf(c_0_19, plain, ![X1:$i, X2:$i, X5:$i > $i > $o, X3:$i]:(epred1_5 @ X1 @ X2 @ X3 @ (esk5_4 @ X5 @ X1 @ X2 @ X3) @ (esk6_4 @ X5 @ X1 @ X2 @ X3)|epred2_3 @ X5 @ (esk5_4 @ X5 @ X1 @ X2 @ X3) @ (esk6_4 @ X5 @ X1 @ X2 @ X3)|subset @ (breln1compset @ X3 @ X2 @ X1) @ (cartprod @ X3 @ X3)), inference(dynamic cnf,[status(thm)],[c_0_16])). 0.20/0.38 thf(c_0_20, plain, ![X1:$i, X5:$i > $i > $o, X2:$i]:(X5 @ X1 @ X2|~epred2_3 @ X5 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_17])). 0.20/0.38 thf(c_0_21, negated_conjecture, ![X5:$i > $i > $o]:(epred1_5 @ esk3_0 @ esk2_0 @ esk1_0 @ (esk5_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0)|epred2_3 @ X5 @ (esk5_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.20/0.38 thf(c_0_22, plain, ![X5:$i > $i > $o]:(epred1_5 @ esk3_0 @ esk2_0 @ esk1_0 @ (esk5_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0)|X5 @ (esk5_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ X5 @ esk3_0 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.20/0.38 thf(c_0_23, plain, ![X5:$i > $i > $o, X3:$i, X2:$i, X1:$i]:(subset @ (breln1compset @ X1 @ X2 @ X3) @ (cartprod @ X1 @ X1)|~epred1_5 @ X3 @ X2 @ X1 @ (esk5_4 @ X5 @ X3 @ X2 @ X1) @ (esk6_4 @ X5 @ X3 @ X2 @ X1)|~epred2_3 @ X5 @ (esk5_4 @ X5 @ X3 @ X2 @ X1) @ (esk6_4 @ X5 @ X3 @ X2 @ X1)), inference(dynamic cnf,[status(thm)],[c_0_16])). 0.20/0.38 thf(c_0_24, plain, epred1_5 @ esk3_0 @ esk2_0 @ esk1_0 @ (esk5_4 @ (epred1_5 @ esk3_0 @ esk2_0 @ esk1_0) @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ (epred1_5 @ esk3_0 @ esk2_0 @ esk1_0) @ esk3_0 @ esk2_0 @ esk1_0), inference(ef,[status(thm)],[c_0_22])). 0.20/0.38 thf(c_0_25, plain, ~epred2_3 @ (epred1_5 @ esk3_0 @ esk2_0 @ esk1_0) @ (esk5_4 @ (epred1_5 @ esk3_0 @ esk2_0 @ esk1_0) @ esk3_0 @ esk2_0 @ esk1_0) @ (esk6_4 @ (epred1_5 @ esk3_0 @ esk2_0 @ esk1_0) @ esk3_0 @ esk2_0 @ esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_18])). 0.20/0.38 thf(c_0_26, plain, ![X1:$i, X5:$i > $i > $o, X2:$i]:(epred2_3 @ X5 @ X1 @ X2|~X5 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_17])). 0.20/0.38 thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_24])]), ['proof']). 0.20/0.38 # SZS output end CNFRefutation 0.20/0.38 # Proof object total steps : 28 0.20/0.38 # Proof object clause steps : 14 0.20/0.38 # Proof object formula steps : 14 0.20/0.38 # Proof object conjectures : 6 0.20/0.38 # Proof object clause conjectures : 3 0.20/0.38 # Proof object formula conjectures : 3 0.20/0.38 # Proof object initial clauses used : 5 0.20/0.38 # Proof object initial formulas used : 5 0.20/0.38 # Proof object generating inferences : 5 0.20/0.38 # Proof object simplifying inferences : 4 0.20/0.38 # Training examples: 0 positive, 0 negative 0.20/0.38 # Parsed axioms : 14 0.20/0.38 # Removed by relevancy pruning/SinE : 0 0.20/0.38 # Initial clauses : 20 0.20/0.38 # Removed in clause preprocessing : 9 0.20/0.38 # Initial clauses in saturation : 11 0.20/0.38 # Processed clauses : 37 0.20/0.38 # ...of these trivial : 0 0.20/0.38 # ...subsumed : 0 0.20/0.38 # ...remaining for further processing : 37 0.20/0.38 # Other redundant clauses eliminated : 1 0.20/0.38 # Clauses deleted for lack of memory : 0 0.20/0.38 # Backward-subsumed : 0 0.20/0.38 # Backward-rewritten : 0 0.20/0.38 # Generated clauses : 30 0.20/0.38 # ...of the previous two non-trivial : 20 0.20/0.38 # Contextual simplify-reflections : 0 0.20/0.38 # Paramodulations : 17 0.20/0.38 # Factorizations : 2 0.20/0.38 # NegExts : 3 0.20/0.38 # Equation resolutions : 1 0.20/0.38 # Propositional unsat checks : 0 0.20/0.38 # Propositional check models : 0 0.20/0.38 # Propositional check unsatisfiable : 0 0.20/0.38 # Propositional clauses : 0 0.20/0.38 # Propositional clauses after purity: 0 0.20/0.38 # Propositional unsat core size : 0 0.20/0.38 # Propositional preprocessing time : 0.000 0.20/0.38 # Propositional encoding time : 0.000 0.20/0.38 # Propositional solver time : 0.000 0.20/0.38 # Success case prop preproc time : 0.000 0.20/0.38 # Success case prop encoding time : 0.000 0.20/0.38 # Success case prop solver time : 0.000 0.20/0.38 # Current number of processed clauses : 24 0.20/0.38 # Positive orientable unit clauses : 5 0.20/0.38 # Positive unorientable unit clauses: 0 0.20/0.38 # Negative unit clauses : 2 0.20/0.38 # Non-unit-clauses : 17 0.20/0.38 # Current number of unprocessed clauses: 5 0.20/0.38 # ...number of literals in the above : 11 0.20/0.38 # Current number of archived formulas : 0 0.20/0.38 # Current number of archived clauses : 13 0.20/0.38 # Clause-clause subsumption calls (NU) : 93 0.20/0.38 # Rec. Clause-clause subsumption calls : 85 0.20/0.38 # Non-unit clause-clause subsumptions : 0 0.20/0.38 # Unit Clause-clause subsumption calls : 0 0.20/0.38 # Rewrite failures with RHS unbound : 0 0.20/0.38 # BW rewrite match attempts : 1 0.20/0.38 # BW rewrite match successes : 0 0.20/0.38 # Condensation attempts : 0 0.20/0.38 # Condensation successes : 0 0.20/0.38 # Termbank termtop insertions : 1758 0.20/0.39 0.20/0.39 # ------------------------------------------------- 0.20/0.39 # User time : 0.031 s 0.20/0.39 # System time : 0.006 s 0.20/0.39 # Total time : 0.037 s 0.20/0.39 # Maximum resident set size: 1652 pages 0.20/0.39 EOF