0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.13 % 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 0.11/0.34 % Computer : n014.cluster.edu 0.11/0.34 % Model : x86_64 x86_64 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.34 % Memory : 8042.1875MB 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.34 % CPULimit : 1200 0.11/0.34 % WCLimit : 120 0.11/0.34 % DateTime : Tue Jul 13 10:36:34 EDT 2021 0.11/0.34 % CPUTime : 0.11/0.34 % Number of cores: 8 0.11/0.34 % Python version: Python 3.6.8 0.11/0.34 # Version: 2.6rc1-ho 0.11/0.34 # No SInE strategy applied 0.11/0.34 # Trying AutoSched0 for 59 seconds 0.11/0.38 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S088N 0.11/0.38 # and selection function SelectCQArNTEqFirstUnlessPDom. 0.11/0.38 # 0.11/0.38 # Preprocessing time : 0.028 s 0.11/0.38 # Presaturation interreduction done 0.11/0.38 0.11/0.38 # Proof found! 0.11/0.38 # SZS status Theorem 0.11/0.38 # SZS output start CNFRefutation 0.11/0.38 thf(breln1, axiom, (breln1)=(^[X1:$i, X9:$i]:subset @ X9 @ (cartprod @ X1 @ X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1)). 0.11/0.38 thf(breln, axiom, (breln)=(^[X1:$i, X2:$i, X3:$i]:subset @ X3 @ (cartprod @ X1 @ X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln)). 0.11/0.38 thf(breln1invI, conjecture, (dpsetconstrI=>![X1:$i, X9:$i]:(![X5:$i]:(in @ X5 @ X1=>![X6:$i]:(in @ X6 @ X1=>(in @ (kpair @ X6 @ X5) @ (breln1invset @ X1 @ X9)<=in @ (kpair @ X5 @ X6) @ X9)))<=breln1 @ X1 @ X9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invI)). 0.11/0.38 thf(dpsetconstrI, axiom, (dpsetconstrI<=>![X1:$i, X2:$i, X4:$i > $i > $o, X5:$i]:(in @ X5 @ X1=>![X6:$i]:(in @ X6 @ X2=>(X4 @ X5 @ X6=>in @ (kpair @ X5 @ X6) @ (dpsetconstr @ X1 @ X2 @ (^[X7:$i, X8:$i]:X4 @ X7 @ X8)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dpsetconstrI)). 0.11/0.38 thf(breln1invset, axiom, (breln1invset)=(^[X1:$i, X9:$i]:dpsetconstr @ X1 @ X1 @ (^[X5:$i, X6:$i]:in @ (kpair @ X6 @ X5) @ X9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', breln1invset)). 0.11/0.38 thf(c_0_5, axiom, (breln1)=(^[X1:$i, X9:$i]:subset @ X9 @ (cartprod @ X1 @ X1)), inference(apply_def,[status(thm)],[breln1, breln])). 0.11/0.38 thf(c_0_6, plain, ![X8:$i, X7:$i, X4:$i > $i > $o]:(epred2_3 @ X4 @ X7 @ X8<=>X4 @ X7 @ X8), introduced(definition)). 0.11/0.38 thf(c_0_7, plain, ![X20:$i, X19:$i, X9:$i]:(epred1_3 @ X9 @ X19 @ X20<=>in @ (kpair @ X20 @ X19) @ X9), introduced(definition)). 0.11/0.38 thf(c_0_8, negated_conjecture, ~((![X1:$i, X2:$i, X4:$i > $i > $o, X5:$i]:(in @ X5 @ X1=>![X6:$i]:(in @ X6 @ X2=>(X4 @ X5 @ X6=>in @ (kpair @ X5 @ X6) @ (dpsetconstr @ X1 @ X2 @ (epred2_3 @ X4)))))=>![X1:$i, X9:$i]:(subset @ X9 @ (cartprod @ X1 @ X1)=>![X5:$i]:(in @ X5 @ X1=>![X6:$i]:(in @ X6 @ X1=>(in @ (kpair @ X5 @ X6) @ X9=>in @ (kpair @ X6 @ X5) @ (breln1invset @ X1 @ X9))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1invI]), dpsetconstrI]), c_0_5]), c_0_6])])). 0.11/0.38 thf(c_0_9, plain, ![X1:$i, X9:$i]:(breln1invset @ X1 @ X9)=(dpsetconstr @ X1 @ X1 @ (epred1_3 @ X9)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[breln1invset]), c_0_7])). 0.11/0.38 thf(c_0_10, negated_conjecture, ![X23:$i, X24:$i, X25:$i > $i > $o, X26:$i, X27:$i]:((~in @ X26 @ X23|(~in @ X27 @ X24|(~X25 @ X26 @ X27|in @ (kpair @ X26 @ X27) @ (dpsetconstr @ X23 @ X24 @ (epred2_3 @ X25)))))&(subset @ esk2_0 @ (cartprod @ esk1_0 @ esk1_0)&(in @ esk3_0 @ esk1_0&(in @ esk4_0 @ esk1_0&(in @ (kpair @ esk3_0 @ esk4_0) @ esk2_0&~in @ (kpair @ esk4_0 @ esk3_0) @ (breln1invset @ esk1_0 @ esk2_0)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 0.11/0.38 thf(c_0_11, plain, ![X21:$i, X22:$i]:(breln1invset @ X21 @ X22)=(dpsetconstr @ X21 @ X21 @ (epred1_3 @ X22)), inference(variable_rename,[status(thm)],[c_0_9])). 0.11/0.38 thf(c_0_12, negated_conjecture, ![X2:$i, X1:$i, X5:$i, X4:$i > $i > $o, X3:$i]:(in @ (kpair @ X1 @ X3) @ (dpsetconstr @ X2 @ X5 @ (epred2_3 @ X4))|~in @ X1 @ X2|~in @ X3 @ X5|~X4 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.38 thf(c_0_13, plain, ![X1:$i, X2:$i]:(breln1invset @ X1 @ X2)=(dpsetconstr @ X1 @ X1 @ (epred1_3 @ X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.11/0.38 thf(c_0_14, negated_conjecture, ~in @ (kpair @ esk4_0 @ esk3_0) @ (breln1invset @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.38 thf(c_0_15, plain, ![X1:$i, X5:$i, X4:$i > $i > $o, X3:$i, X2:$i]:(in @ (kpair @ X1 @ X2) @ (breln1invset @ X3 @ X5)|(epred1_3 @ X5)!=(epred2_3 @ X4)|~in @ X2 @ X3|~in @ X1 @ X3|~X4 @ X1 @ X2), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_12, c_0_13])])])). 0.11/0.38 thf(c_0_16, negated_conjecture, in @ esk3_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.38 thf(c_0_17, negated_conjecture, in @ esk4_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.38 thf(c_0_18, negated_conjecture, ![X4:$i > $i > $o]:((epred2_3 @ X4)!=(epred1_3 @ esk2_0)|~X4 @ esk4_0 @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])])). 0.11/0.38 thf(c_0_19, plain, ![X32:$i, X33:$i, X34:$i]:((~epred1_3 @ X34 @ X33 @ X32|in @ (kpair @ X32 @ X33) @ X34)&(~in @ (kpair @ X32 @ X33) @ X34|epred1_3 @ X34 @ X33 @ X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.11/0.38 thf(c_0_20, negated_conjecture, ![X4:$i > $i > $o]:((epred2_3 @ X4 @ (esk7_1 @ X4) @ (esk8_1 @ X4))!=(epred1_3 @ esk2_0 @ (esk7_1 @ X4) @ (esk8_1 @ X4))|~X4 @ esk4_0 @ esk3_0), inference(neg_ext,[status(thm)],[c_0_18])). 0.11/0.38 thf(c_0_21, plain, ![X1:$i, X2:$i, X3:$i]:(epred1_3 @ X3 @ X2 @ X1|~in @ (kpair @ X1 @ X2) @ X3), inference(split_conjunct,[status(thm)],[c_0_19])). 0.11/0.38 thf(c_0_22, negated_conjecture, in @ (kpair @ esk3_0 @ esk4_0) @ esk2_0, inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.38 thf(c_0_23, plain, ![X35:$i, X36:$i, X37:$i > $i > $o]:((~epred2_3 @ X37 @ X36 @ X35|X37 @ X36 @ X35)&(~X37 @ X36 @ X35|epred2_3 @ X37 @ X36 @ X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.11/0.38 thf(c_0_24, negated_conjecture, ![X4:$i > $i > $o]:(epred1_3 @ esk2_0 @ (esk7_1 @ X4) @ (esk8_1 @ X4)|epred2_3 @ X4 @ (esk7_1 @ X4) @ (esk8_1 @ X4)|~X4 @ esk4_0 @ esk3_0), inference(dynamic cnf,[status(thm)],[c_0_20])). 0.11/0.38 thf(c_0_25, negated_conjecture, epred1_3 @ esk2_0 @ esk4_0 @ esk3_0, inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.11/0.38 thf(c_0_26, plain, ![X1:$i, X4:$i > $i > $o, X2:$i]:(epred2_3 @ X4 @ X1 @ X2|~X4 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_23])). 0.11/0.38 thf(c_0_27, plain, ![X1:$i, X4:$i > $i > $o, X2:$i]:(X4 @ X1 @ X2|~epred2_3 @ X4 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_23])). 0.11/0.38 thf(c_0_28, negated_conjecture, epred2_3 @ (epred1_3 @ esk2_0) @ (esk7_1 @ (epred1_3 @ esk2_0)) @ (esk8_1 @ (epred1_3 @ esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 0.11/0.38 thf(c_0_29, negated_conjecture, ![X4:$i > $i > $o]:(~epred1_3 @ esk2_0 @ (esk7_1 @ X4) @ (esk8_1 @ X4)|~epred2_3 @ X4 @ (esk7_1 @ X4) @ (esk8_1 @ X4)|~X4 @ esk4_0 @ esk3_0), inference(dynamic cnf,[status(thm)],[c_0_20])). 0.11/0.38 thf(c_0_30, plain, epred1_3 @ esk2_0 @ (esk7_1 @ (epred1_3 @ esk2_0)) @ (esk8_1 @ (epred1_3 @ esk2_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.11/0.38 thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_28]), c_0_25])]), ['proof']). 0.11/0.38 # SZS output end CNFRefutation 0.11/0.38 # Proof object total steps : 32 0.11/0.38 # Proof object clause steps : 18 0.11/0.38 # Proof object formula steps : 14 0.11/0.38 # Proof object conjectures : 15 0.11/0.38 # Proof object clause conjectures : 12 0.11/0.38 # Proof object formula conjectures : 3 0.11/0.38 # Proof object initial clauses used : 9 0.11/0.38 # Proof object initial formulas used : 5 0.11/0.38 # Proof object generating inferences : 5 0.11/0.38 # Proof object simplifying inferences : 9 0.11/0.38 # Training examples: 0 positive, 0 negative 0.11/0.38 # Parsed axioms : 14 0.11/0.38 # Removed by relevancy pruning/SinE : 0 0.11/0.38 # Initial clauses : 20 0.11/0.38 # Removed in clause preprocessing : 9 0.11/0.38 # Initial clauses in saturation : 11 0.11/0.38 # Processed clauses : 53 0.11/0.38 # ...of these trivial : 0 0.11/0.38 # ...subsumed : 0 0.11/0.38 # ...remaining for further processing : 53 0.11/0.38 # Other redundant clauses eliminated : 10 0.11/0.38 # Clauses deleted for lack of memory : 0 0.11/0.38 # Backward-subsumed : 0 0.11/0.38 # Backward-rewritten : 0 0.11/0.38 # Generated clauses : 136 0.11/0.38 # ...of the previous two non-trivial : 63 0.11/0.38 # Contextual simplify-reflections : 1 0.11/0.38 # Paramodulations : 52 0.11/0.38 # Factorizations : 0 0.11/0.38 # NegExts : 5 0.11/0.38 # Equation resolutions : 10 0.11/0.38 # Propositional unsat checks : 0 0.11/0.38 # Propositional check models : 0 0.11/0.38 # Propositional check unsatisfiable : 0 0.11/0.38 # Propositional clauses : 0 0.11/0.38 # Propositional clauses after purity: 0 0.11/0.38 # Propositional unsat core size : 0 0.11/0.38 # Propositional preprocessing time : 0.000 0.11/0.38 # Propositional encoding time : 0.000 0.11/0.38 # Propositional solver time : 0.000 0.11/0.38 # Success case prop preproc time : 0.000 0.11/0.38 # Success case prop encoding time : 0.000 0.11/0.38 # Success case prop solver time : 0.000 0.11/0.38 # Current number of processed clauses : 40 0.11/0.38 # Positive orientable unit clauses : 8 0.11/0.38 # Positive unorientable unit clauses: 0 0.11/0.38 # Negative unit clauses : 1 0.11/0.38 # Non-unit-clauses : 31 0.11/0.38 # Current number of unprocessed clauses: 31 0.11/0.38 # ...number of literals in the above : 114 0.11/0.38 # Current number of archived formulas : 0 0.11/0.38 # Current number of archived clauses : 13 0.11/0.38 # Clause-clause subsumption calls (NU) : 210 0.11/0.38 # Rec. Clause-clause subsumption calls : 178 0.11/0.38 # Non-unit clause-clause subsumptions : 1 0.11/0.38 # Unit Clause-clause subsumption calls : 0 0.11/0.38 # Rewrite failures with RHS unbound : 0 0.11/0.38 # BW rewrite match attempts : 0 0.11/0.38 # BW rewrite match successes : 0 0.11/0.38 # Condensation attempts : 0 0.11/0.38 # Condensation successes : 0 0.11/0.38 # Termbank termtop insertions : 3190 0.11/0.38 0.11/0.38 # ------------------------------------------------- 0.11/0.38 # User time : 0.029 s 0.11/0.38 # System time : 0.006 s 0.11/0.38 # Total time : 0.035 s 0.11/0.38 # Maximum resident set size: 1652 pages 0.11/0.38 EOF