0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % 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 : n026.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 12:57:14 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 0.12/0.34 # Version: 2.6rc1-ho 0.12/0.34 # No SInE strategy applied 0.12/0.34 # Trying AutoSched0 for 59 seconds 59.16/59.34 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CA 59.16/59.34 # and selection function SelectAntiRROptimalLit. 59.16/59.34 # 59.16/59.34 # Preprocessing time : 0.030 s 59.16/59.34 # Presaturation interreduction done 59.33/59.49 # No success with AutoSched0 59.33/59.49 # Trying AutoSched1 for 26 seconds 59.45/59.66 # AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 59.45/59.66 # and selection function PSelectComplexExceptUniqMaxHorn. 59.45/59.66 # 59.45/59.66 # Preprocessing time : 0.015 s 59.45/59.66 # Presaturation interreduction done 59.45/59.66 59.45/59.66 # Proof found! 59.45/59.66 # SZS status Theorem 59.45/59.66 # SZS output start CNFRefutation 59.45/59.66 thf(mimpl, axiom, (mimpl)=(^[X7:$i > $o, X8:$i > $o, X30:$i]:(~(X7 @ X30)|X8 @ X30)), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mimpl)). 59.45/59.66 thf(mnot, axiom, (mnot)=(^[X2:$i > $o, X3:$i]:~(X2 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mnot)). 59.45/59.66 thf(mor, axiom, (mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3|X5 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mor)). 59.45/59.66 thf(cs4_atom, axiom, (cs4_atom)=(^[X11:$i > $o, X37:$i]:![X38:$i]:(reli @ X37 @ X38=>X11 @ X38)), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', cs4_atom)). 59.45/59.66 thf(mbox, axiom, (mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:![X12:$i]:(X10 @ X1 @ X12=>X11 @ X12)), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mbox)). 59.45/59.66 thf(cs4_impl, axiom, (cs4_impl)=(^[X19:$i > $o, X20:$i > $o, X42:$i]:![X43:$i]:(reli @ X42 @ X43=>(~(X19 @ X43)|X20 @ X43))), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', cs4_impl)). 59.45/59.66 thf(cs4_box, axiom, (cs4_box)=(^[X19:$i > $o, X54:$i]:![X55:$i]:(reli @ X54 @ X55=>![X58:$i]:(relr @ X55 @ X58=>X19 @ X58))), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', cs4_box)). 59.45/59.66 thf(cs4_valid_def, axiom, (cs4_valid)=(^[X19:$i > $o]:![X59:$i]:X19 @ X59), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', cs4_valid_def)). 59.45/59.66 thf(mvalid, axiom, (mvalid)=(^[X11:$i > $o]:![X15:$i]:X11 @ X15), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mvalid)). 59.45/59.66 thf(trans_axiom_i, axiom, ![X19:$i > $o]:mvalid @ (mimpl @ (mbox @ reli @ X19) @ (mbox @ reli @ (mbox @ reli @ X19))), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', trans_axiom_i)). 59.45/59.66 thf(cs4_k, conjecture, ![X19:$i > $o, X20:$i > $o]:cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X19) @ (cs4_atom @ X20))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X19)) @ (cs4_box @ (cs4_atom @ X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cs4_k)). 59.45/59.66 thf(refl_axiom_i, axiom, ![X19:$i > $o]:mvalid @ (mimpl @ (mbox @ reli @ X19) @ X19), file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax', refl_axiom_i)). 59.45/59.66 thf(c_0_12, axiom, (mimpl)=(^[X7:$i > $o, X8:$i > $o, X30:$i]:(~(X7 @ X30)|X8 @ X30)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mimpl, mnot]), mor])). 59.45/59.66 thf(c_0_13, axiom, (cs4_atom)=(^[X11:$i > $o, X37:$i]:![X38:$i]:(reli @ X37 @ X38=>X11 @ X38)), inference(apply_def,[status(thm)],[cs4_atom, mbox])). 59.45/59.66 thf(c_0_14, axiom, (cs4_impl)=(^[X19:$i > $o, X20:$i > $o, X42:$i]:![X43:$i]:(reli @ X42 @ X43=>(~(X19 @ X43)|X20 @ X43))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cs4_impl, c_0_12]), mbox])). 59.45/59.66 thf(c_0_15, axiom, (cs4_box)=(^[X19:$i > $o, X54:$i]:![X55:$i]:(reli @ X54 @ X55=>![X58:$i]:(relr @ X55 @ X58=>X19 @ X58))), inference(apply_def,[status(thm)],[cs4_box, mbox])). 59.45/59.66 thf(c_0_16, axiom, (cs4_valid)=(^[X19:$i > $o]:![X59:$i]:X19 @ X59), inference(apply_def,[status(thm)],[cs4_valid_def, mvalid])). 59.45/59.66 thf(c_0_17, plain, ![X19:$i > $o, X133:$i]:(~(![X138:$i]:(reli @ X133 @ X138=>X19 @ X138))|![X139:$i]:(reli @ X133 @ X139=>![X140:$i]:(reli @ X139 @ X140=>X19 @ X140))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[trans_axiom_i, c_0_12]), mbox]), mvalid])). 59.45/59.66 thf(c_0_18, negated_conjecture, ~(![X19:$i > $o, X20:$i > $o, X249:$i, X264:$i]:(reli @ X249 @ X264=>(~(![X265:$i]:(reli @ X264 @ X265=>![X266:$i]:(relr @ X265 @ X266=>![X267:$i]:(reli @ X266 @ X267=>(~(![X268:$i]:(reli @ X267 @ X268=>X19 @ X268))|![X269:$i]:(reli @ X267 @ X269=>X20 @ X269))))))|![X270:$i]:(reli @ X264 @ X270=>(~(![X271:$i]:(reli @ X270 @ X271=>![X272:$i]:(relr @ X271 @ X272=>![X273:$i]:(reli @ X272 @ X273=>X19 @ X273))))|![X274:$i]:(reli @ X270 @ X274=>![X275:$i]:(relr @ X274 @ X275=>![X276:$i]:(reli @ X275 @ X276=>X20 @ X276)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cs4_k]), c_0_13]), c_0_14]), c_0_15]), c_0_16])). 59.45/59.66 thf(c_0_19, plain, ![X289:$i > $o, X290:$i, X292:$i, X293:$i]:((reli @ X290 @ (esk5_2 @ X289 @ X290)|(~reli @ X290 @ X292|(~reli @ X292 @ X293|X289 @ X293)))&(~X289 @ (esk5_2 @ X289 @ X290)|(~reli @ X290 @ X292|(~reli @ X292 @ X293|X289 @ X293)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])). 59.45/59.66 thf(c_0_20, negated_conjecture, ![X303:$i, X304:$i, X305:$i, X307:$i, X309:$i, X310:$i, X311:$i]:(reli @ esk7_0 @ esk8_0&(((reli @ X305 @ (esk9_3 @ X303 @ X304 @ X305)|(~reli @ X305 @ X307|epred2_0 @ X307)|~reli @ X304 @ X305|~relr @ X303 @ X304|~reli @ esk8_0 @ X303)&(~epred1_0 @ (esk9_3 @ X303 @ X304 @ X305)|(~reli @ X305 @ X307|epred2_0 @ X307)|~reli @ X304 @ X305|~relr @ X303 @ X304|~reli @ esk8_0 @ X303))&(reli @ esk8_0 @ esk10_0&((~reli @ esk10_0 @ X309|(~relr @ X309 @ X310|(~reli @ X310 @ X311|epred1_0 @ X311)))&(reli @ esk10_0 @ esk11_0&(relr @ esk11_0 @ esk12_0&(reli @ esk12_0 @ esk13_0&~epred2_0 @ esk13_0))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])). 59.45/59.66 thf(c_0_21, plain, ![X1:$i, X2:$i > $o, X3:$i, X12:$i]:(reli @ X1 @ (esk5_2 @ X2 @ X1)|X2 @ X12|~reli @ X1 @ X3|~reli @ X3 @ X12), inference(split_conjunct,[status(thm)],[c_0_19])). 59.45/59.66 thf(c_0_22, negated_conjecture, reli @ esk10_0 @ esk11_0, inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_23, negated_conjecture, ![X2:$i > $o, X1:$i]:(reli @ X1 @ (esk5_2 @ X2 @ X1)|X2 @ esk11_0|~reli @ X1 @ esk10_0), inference(spm,[status(thm)],[c_0_21, c_0_22])). 59.45/59.66 thf(c_0_24, negated_conjecture, reli @ esk8_0 @ esk10_0, inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_25, plain, ![X1:$i, X2:$i > $o, X3:$i, X12:$i]:(X2 @ X12|~X2 @ (esk5_2 @ X2 @ X1)|~reli @ X1 @ X3|~reli @ X3 @ X12), inference(split_conjunct,[status(thm)],[c_0_19])). 59.45/59.66 thf(c_0_26, negated_conjecture, ![X2:$i > $o]:(reli @ esk8_0 @ (esk5_2 @ X2 @ esk8_0)|X2 @ esk11_0), inference(spm,[status(thm)],[c_0_23, c_0_24])). 59.45/59.66 thf(c_0_27, negated_conjecture, ![X3:$i, X1:$i]:(reli @ esk8_0 @ esk11_0|reli @ esk8_0 @ X1|~reli @ esk8_0 @ X3|~reli @ X3 @ X1), inference(spm,[status(thm)],[c_0_25, c_0_26])). 59.45/59.66 thf(c_0_28, negated_conjecture, ![X1:$i]:(reli @ esk8_0 @ esk11_0|~reli @ esk8_0 @ X1|~reli @ X1 @ esk11_0), inference(ef,[status(thm)],[c_0_27])). 59.45/59.66 thf(c_0_29, plain, ![X19:$i > $o, X111:$i]:(~(![X114:$i]:(reli @ X111 @ X114=>X19 @ X114))|X19 @ X111), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_i, c_0_12]), mbox]), mvalid])). 59.45/59.66 thf(c_0_30, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X3:$i]:(reli @ X1 @ (esk9_3 @ X3 @ X12 @ X1)|epred2_0 @ X13|~reli @ X1 @ X13|~reli @ X12 @ X1|~relr @ X3 @ X12|~reli @ esk8_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_31, negated_conjecture, reli @ esk8_0 @ esk11_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_24]), c_0_22])])). 59.45/59.66 thf(c_0_32, plain, ![X286:$i > $o, X287:$i]:((reli @ X287 @ (esk4_2 @ X286 @ X287)|X286 @ X287)&(~X286 @ (esk4_2 @ X286 @ X287)|X286 @ X287)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])). 59.45/59.66 thf(c_0_33, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(reli @ X1 @ (esk9_3 @ esk11_0 @ X3 @ X1)|epred2_0 @ X12|~relr @ esk11_0 @ X3|~reli @ X3 @ X1|~reli @ X1 @ X12), inference(spm,[status(thm)],[c_0_30, c_0_31])). 59.45/59.66 thf(c_0_34, negated_conjecture, relr @ esk11_0 @ esk12_0, inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_35, plain, ![X2:$i > $o, X1:$i]:(X2 @ X1|~X2 @ (esk4_2 @ X2 @ X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 59.45/59.66 thf(c_0_36, plain, ![X2:$i > $o, X1:$i]:(reli @ X1 @ (esk4_2 @ X2 @ X1)|X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_32])). 59.45/59.66 thf(c_0_37, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(epred1_0 @ X12|~reli @ esk10_0 @ X1|~relr @ X1 @ X3|~reli @ X3 @ X12), inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_38, negated_conjecture, ![X1:$i, X3:$i]:(reli @ X1 @ (esk9_3 @ esk11_0 @ esk12_0 @ X1)|epred2_0 @ X3|~reli @ esk12_0 @ X1|~reli @ X1 @ X3), inference(spm,[status(thm)],[c_0_33, c_0_34])). 59.45/59.66 thf(c_0_39, plain, ![X1:$i]:reli @ X1 @ X1, inference(spm,[status(thm)],[c_0_35, c_0_36])). 59.45/59.66 thf(c_0_40, negated_conjecture, ![X3:$i, X1:$i]:(epred1_0 @ X1|~relr @ esk11_0 @ X3|~reli @ X3 @ X1), inference(spm,[status(thm)],[c_0_37, c_0_22])). 59.45/59.66 thf(c_0_41, negated_conjecture, ![X1:$i]:(reli @ esk12_0 @ (esk9_3 @ esk11_0 @ esk12_0 @ esk12_0)|epred2_0 @ X1|~reli @ esk12_0 @ X1), inference(spm,[status(thm)],[c_0_38, c_0_39])). 59.45/59.66 thf(c_0_42, negated_conjecture, reli @ esk12_0 @ esk13_0, inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_43, negated_conjecture, ~epred2_0 @ esk13_0, inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_44, negated_conjecture, ![X1:$i]:(epred1_0 @ X1|~reli @ esk12_0 @ X1), inference(spm,[status(thm)],[c_0_40, c_0_34])). 59.45/59.66 thf(c_0_45, negated_conjecture, reli @ esk12_0 @ (esk9_3 @ esk11_0 @ esk12_0 @ esk12_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])). 59.45/59.66 thf(c_0_46, negated_conjecture, ![X13:$i, X12:$i, X3:$i, X1:$i]:(epred2_0 @ X13|~epred1_0 @ (esk9_3 @ X1 @ X3 @ X12)|~reli @ X12 @ X13|~reli @ X3 @ X12|~relr @ X1 @ X3|~reli @ esk8_0 @ X1), inference(split_conjunct,[status(thm)],[c_0_20])). 59.45/59.66 thf(c_0_47, negated_conjecture, epred1_0 @ (esk9_3 @ esk11_0 @ esk12_0 @ esk12_0), inference(spm,[status(thm)],[c_0_44, c_0_45])). 59.45/59.66 thf(c_0_48, negated_conjecture, ![X1:$i]:(epred2_0 @ X1|~reli @ esk12_0 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_31]), c_0_39]), c_0_34])])). 59.45/59.66 thf(c_0_49, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_42]), c_0_43]), ['proof']). 59.45/59.66 # SZS output end CNFRefutation 59.45/59.66 # Proof object total steps : 50 59.45/59.66 # Proof object clause steps : 27 59.45/59.66 # Proof object formula steps : 23 59.45/59.66 # Proof object conjectures : 25 59.45/59.66 # Proof object clause conjectures : 22 59.45/59.66 # Proof object formula conjectures : 3 59.45/59.66 # Proof object initial clauses used : 12 59.45/59.66 # Proof object initial formulas used : 12 59.45/59.66 # Proof object generating inferences : 15 59.45/59.66 # Proof object simplifying inferences : 8 59.45/59.66 # Training examples: 0 positive, 0 negative 59.45/59.66 # Parsed axioms : 61 59.45/59.66 # Removed by relevancy pruning/SinE : 0 59.45/59.66 # Initial clauses : 51 59.45/59.66 # Removed in clause preprocessing : 31 59.45/59.66 # Initial clauses in saturation : 20 59.45/59.66 # Processed clauses : 1176 59.45/59.66 # ...of these trivial : 2 59.45/59.66 # ...subsumed : 504 59.45/59.66 # ...remaining for further processing : 670 59.45/59.66 # Other redundant clauses eliminated : 0 59.45/59.66 # Clauses deleted for lack of memory : 0 59.45/59.66 # Backward-subsumed : 61 59.45/59.66 # Backward-rewritten : 4 59.45/59.66 # Generated clauses : 19120 59.45/59.66 # ...of the previous two non-trivial : 18792 59.45/59.66 # Contextual simplify-reflections : 12 59.45/59.66 # Paramodulations : 18850 59.45/59.66 # Factorizations : 270 59.45/59.66 # NegExts : 0 59.45/59.66 # Equation resolutions : 0 59.45/59.66 # Propositional unsat checks : 0 59.45/59.66 # Propositional check models : 0 59.45/59.66 # Propositional check unsatisfiable : 0 59.45/59.66 # Propositional clauses : 0 59.45/59.66 # Propositional clauses after purity: 0 59.45/59.66 # Propositional unsat core size : 0 59.45/59.66 # Propositional preprocessing time : 0.000 59.45/59.66 # Propositional encoding time : 0.000 59.45/59.66 # Propositional solver time : 0.000 59.45/59.67 # Success case prop preproc time : 0.000 59.45/59.67 # Success case prop encoding time : 0.000 59.45/59.67 # Success case prop solver time : 0.000 59.45/59.67 # Current number of processed clauses : 585 59.45/59.67 # Positive orientable unit clauses : 20 59.45/59.67 # Positive unorientable unit clauses: 0 59.45/59.67 # Negative unit clauses : 1 59.45/59.67 # Non-unit-clauses : 564 59.45/59.67 # Current number of unprocessed clauses: 17402 59.45/59.67 # ...number of literals in the above : 89468 59.45/59.67 # Current number of archived formulas : 0 59.45/59.67 # Current number of archived clauses : 85 59.45/59.67 # Clause-clause subsumption calls (NU) : 40658 59.45/59.67 # Rec. Clause-clause subsumption calls : 12715 59.45/59.67 # Non-unit clause-clause subsumptions : 566 59.45/59.67 # Unit Clause-clause subsumption calls : 242 59.45/59.67 # Rewrite failures with RHS unbound : 0 59.45/59.67 # BW rewrite match attempts : 20 59.45/59.67 # BW rewrite match successes : 8 59.45/59.67 # Condensation attempts : 0 59.45/59.67 # Condensation successes : 0 59.45/59.67 # Termbank termtop insertions : 390139 59.45/59.67 59.45/59.67 # ------------------------------------------------- 59.45/59.67 # User time : 58.061 s 59.45/59.67 # System time : 1.271 s 59.45/59.67 # Total time : 59.332 s 59.45/59.67 # Maximum resident set size: 1708 pages 59.45/59.67 EOF