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 : n028.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 15:26:01 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 # Version: 2.6rc1-ho 0.13/0.35 # No SInE strategy applied 0.13/0.35 # Trying AutoSched0 for 59 seconds 0.20/0.39 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.20/0.39 # and selection function SelectComplexExceptUniqMaxHorn. 0.20/0.39 # 0.20/0.39 # Preprocessing time : 0.033 s 0.20/0.39 # Presaturation interreduction done 0.20/0.39 0.20/0.39 # Proof found! 0.20/0.39 # SZS status Theorem 0.20/0.39 # SZS output start CNFRefutation 0.20/0.39 thf(mbox, axiom, (mbox)=(^[X25:$i > $o, X26:$i]:![X27:$i]:(~(rel @ X26 @ X27)|X25 @ X27)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mbox)). 0.20/0.39 thf(mbox_generic, axiom, (mbox_generic)=(^[X15:$i > $i > $o, X4:$i > $o, X3:$i]:![X16:$i]:(~(X15 @ X3 @ X16)|X4 @ X16)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mbox_generic)). 0.20/0.39 thf(defD1, axiom, (god)=(^[X1:mu, X32:$i]:![X33:mu > $i > $o]:(positive @ X33 @ X32=>X33 @ X1 @ X32)), file('/export/starexec/sandbox2/benchmark/Axioms/PHI001^0.ax', defD1)). 0.20/0.39 thf(mimplies, axiom, (mimplies)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3=>X5 @ X3)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mimplies)). 0.20/0.39 thf(mforall_indset, axiom, (mforall_indset)=(^[X7:(mu > $i > $o) > $i > $o, X3:$i]:![X8:mu > $i > $o]:X7 @ X8 @ X3), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mforall_indset)). 0.20/0.39 thf(defD2, axiom, (essence)=(^[X18:mu > $i > $o, X1:mu, X60:$i]:(X18 @ X1 @ X60&![X65:mu > $i > $o]:(X65 @ X1 @ X60=>![X66:$i]:(~(rel @ X60 @ X66)|![X67:mu]:(X18 @ X67 @ X66=>X65 @ X67 @ X66))))), file('/export/starexec/sandbox2/benchmark/Axioms/PHI001^0.ax', defD2)). 0.20/0.39 thf(mand, axiom, (mand)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3&X5 @ X3)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mand)). 0.20/0.39 thf(mforall_ind, axiom, (mforall_ind)=(^[X6:mu > $i > $o, X3:$i]:![X1:mu]:X6 @ X1 @ X3), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mforall_ind)). 0.20/0.39 thf(thmT2, conjecture, mvalid @ (mforall_ind @ (^[X1:mu]:mimplies @ (god @ X1) @ (essence @ god @ X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thmT2)). 0.20/0.39 thf(mvalid, axiom, (mvalid)=(^[X4:$i > $o]:![X3:$i]:X4 @ X3), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mvalid)). 0.20/0.39 thf(axA1, axiom, mvalid @ (mforall_indset @ (^[X21:mu > $i > $o]:mequiv @ (positive @ (^[X1:mu]:mnot @ (X21 @ X1))) @ (mnot @ (positive @ X21)))), file('/export/starexec/sandbox2/benchmark/Axioms/PHI001^0.ax', axA1)). 0.20/0.39 thf(mnot, axiom, (mnot)=(^[X4:$i > $o, X3:$i]:~(X4 @ X3)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mnot)). 0.20/0.39 thf(mequiv, axiom, (mequiv)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3<=>X5 @ X3)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL016^0.ax', mequiv)). 0.20/0.39 thf(axA4, axiom, mvalid @ (mforall_indset @ (^[X24:mu > $i > $o]:mimplies @ (positive @ X24) @ (mbox @ (positive @ X24)))), file('/export/starexec/sandbox2/benchmark/Axioms/PHI001^0.ax', axA4)). 0.20/0.39 thf(c_0_14, axiom, (mbox)=(^[X25:$i > $o, X26:$i]:![X27:$i]:(~(rel @ X26 @ X27)|X25 @ X27)), inference(apply_def,[status(thm)],[mbox, mbox_generic])). 0.20/0.39 thf(c_0_15, axiom, (god)=(^[X1:mu, X32:$i]:![X33:mu > $i > $o]:(positive @ X33 @ X32=>X33 @ X1 @ X32)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[defD1, mimplies]), mforall_indset])). 0.20/0.39 thf(c_0_16, axiom, (essence)=(^[X18:mu > $i > $o, X1:mu, X60:$i]:(X18 @ X1 @ X60&![X65:mu > $i > $o]:(X65 @ X1 @ X60=>![X66:$i]:(~(rel @ X60 @ X66)|![X67:mu]:(X18 @ X67 @ X66=>X65 @ X67 @ X66))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[defD2, mand]), mimplies]), mforall_ind]), mforall_indset]), c_0_14])). 0.20/0.39 thf(c_0_17, plain, ![X128:$i, X127:mu, X126:mu > $i > $o]:(epred1_3 @ X126 @ X127 @ X128<=>~X126 @ X127 @ X128), inference(fof_simplification,[status(thm)],[introduced(definition)])). 0.20/0.39 thf(c_0_18, negated_conjecture, ~(![X251:$i, X260:mu]:(![X261:mu > $i > $o]:(positive @ X261 @ X251=>X261 @ X260 @ X251)=>(![X262:mu > $i > $o]:(positive @ X262 @ X251=>X262 @ X260 @ X251)&![X263:mu > $i > $o]:(X263 @ X260 @ X251=>![X264:$i]:(~rel @ X251 @ X264|![X265:mu]:(![X266:mu > $i > $o]:(positive @ X266 @ X264=>X266 @ X265 @ X264)=>X263 @ X265 @ X264)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thmT2]), mimplies]), mforall_ind]), mvalid]), c_0_15]), c_0_16])])). 0.20/0.39 thf(c_0_19, plain, ![X121:$i, X126:mu > $i > $o]:(positive @ (epred1_3 @ X126) @ X121<=>~positive @ X126 @ X121), 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(apply_def,[status(thm)],[axA1, mnot]), mequiv]), mforall_indset]), mvalid]), c_0_17])])). 0.20/0.39 thf(c_0_20, negated_conjecture, ![X281:mu > $i > $o, X286:mu > $i > $o]:((~positive @ X281 @ esk3_0|X281 @ esk4_0 @ esk3_0)&(((epred5_0 @ esk4_0 @ esk3_0|positive @ epred4_0 @ esk3_0)&((rel @ esk3_0 @ esk5_0|positive @ epred4_0 @ esk3_0)&((~positive @ X286 @ esk5_0|X286 @ esk6_0 @ esk5_0|positive @ epred4_0 @ esk3_0)&(~epred5_0 @ esk6_0 @ esk5_0|positive @ epred4_0 @ esk3_0))))&((epred5_0 @ esk4_0 @ esk3_0|~epred4_0 @ esk4_0 @ esk3_0)&((rel @ esk3_0 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0)&((~positive @ X286 @ esk5_0|X286 @ esk6_0 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0)&(~epred5_0 @ esk6_0 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])). 0.20/0.39 thf(c_0_21, plain, ![X267:$i, X268:mu > $i > $o]:((~positive @ (epred1_3 @ X268) @ X267|~positive @ X268 @ X267)&(positive @ X268 @ X267|positive @ (epred1_3 @ X268) @ X267)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])). 0.20/0.39 thf(c_0_22, plain, ![X287:$i, X288:mu, X289:mu > $i > $o]:((~epred1_3 @ X289 @ X288 @ X287|~X289 @ X288 @ X287)&(X289 @ X288 @ X287|epred1_3 @ X289 @ X288 @ X287)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])). 0.20/0.39 thf(c_0_23, negated_conjecture, ![X6:mu > $i > $o]:(X6 @ esk4_0 @ esk3_0|~positive @ X6 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_24, plain, ![X6:mu > $i > $o, X3:$i]:(positive @ X6 @ X3|positive @ (epred1_3 @ X6) @ X3), inference(split_conjunct,[status(thm)],[c_0_21])). 0.20/0.39 thf(c_0_25, plain, ![X203:$i, X207:mu > $i > $o]:(positive @ X207 @ X203=>![X208:$i]:(~rel @ X203 @ X208|positive @ X207 @ X208)), 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)],[axA4, mimplies]), mforall_indset]), c_0_14]), mvalid])])). 0.20/0.39 thf(c_0_26, plain, ![X1:mu, X6:mu > $i > $o, X3:$i]:(~epred1_3 @ X6 @ X1 @ X3|~X6 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_22])). 0.20/0.39 thf(c_0_27, negated_conjecture, ![X6:mu > $i > $o]:(epred1_3 @ X6 @ esk4_0 @ esk3_0|positive @ X6 @ esk3_0), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.20/0.39 thf(c_0_28, plain, ![X276:$i, X277:mu > $i > $o, X278:$i]:(~positive @ X277 @ X276|(~rel @ X276 @ X278|positive @ X277 @ X278)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])). 0.20/0.39 thf(c_0_29, plain, ![X6:mu > $i > $o]:(positive @ X6 @ esk3_0|~X6 @ esk4_0 @ esk3_0), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.20/0.39 thf(c_0_30, negated_conjecture, (epred5_0 @ esk4_0 @ esk3_0|positive @ epred4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_31, plain, ![X3:$i, X6:mu > $i > $o, X16:$i]:(positive @ X6 @ X16|~positive @ X6 @ X3|~rel @ X3 @ X16), inference(split_conjunct,[status(thm)],[c_0_28])). 0.20/0.39 thf(c_0_32, negated_conjecture, (positive @ epred4_0 @ esk3_0|positive @ epred5_0 @ esk3_0), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.20/0.39 thf(c_0_33, negated_conjecture, ![X3:$i]:(positive @ epred4_0 @ esk3_0|positive @ epred5_0 @ X3|~rel @ esk3_0 @ X3), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.20/0.39 thf(c_0_34, negated_conjecture, (rel @ esk3_0 @ esk5_0|positive @ epred4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_35, negated_conjecture, ![X6:mu > $i > $o]:(X6 @ esk6_0 @ esk5_0|positive @ epred4_0 @ esk3_0|~positive @ X6 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_36, negated_conjecture, (positive @ epred5_0 @ esk5_0|positive @ epred4_0 @ esk3_0), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.20/0.39 thf(c_0_37, negated_conjecture, (positive @ epred4_0 @ esk3_0|~epred5_0 @ esk6_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_38, negated_conjecture, (epred5_0 @ esk4_0 @ esk3_0|~epred4_0 @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_39, negated_conjecture, positive @ epred4_0 @ esk3_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])). 0.20/0.39 thf(c_0_40, negated_conjecture, (positive @ epred5_0 @ esk3_0|~epred4_0 @ esk4_0 @ esk3_0), inference(spm,[status(thm)],[c_0_29, c_0_38])). 0.20/0.39 thf(c_0_41, negated_conjecture, epred4_0 @ esk4_0 @ esk3_0, inference(spm,[status(thm)],[c_0_23, c_0_39])). 0.20/0.39 thf(c_0_42, negated_conjecture, positive @ epred5_0 @ esk3_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])). 0.20/0.39 thf(c_0_43, negated_conjecture, (rel @ esk3_0 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_44, negated_conjecture, ![X6:mu > $i > $o]:(X6 @ esk6_0 @ esk5_0|~positive @ X6 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_45, negated_conjecture, ![X3:$i]:(positive @ epred5_0 @ X3|~rel @ esk3_0 @ X3), inference(spm,[status(thm)],[c_0_31, c_0_42])). 0.20/0.39 thf(c_0_46, negated_conjecture, rel @ esk3_0 @ esk5_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_41])])). 0.20/0.39 thf(c_0_47, negated_conjecture, (~epred5_0 @ esk6_0 @ esk5_0|~epred4_0 @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.39 thf(c_0_48, negated_conjecture, ![X6:mu > $i > $o]:(X6 @ esk6_0 @ esk5_0|~positive @ X6 @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_41])])). 0.20/0.39 thf(c_0_49, negated_conjecture, positive @ epred5_0 @ esk5_0, inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.20/0.39 thf(c_0_50, negated_conjecture, ~epred5_0 @ esk6_0 @ esk5_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_41])])). 0.20/0.39 thf(c_0_51, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), ['proof']). 0.20/0.39 # SZS output end CNFRefutation 0.20/0.39 # Proof object total steps : 52 0.20/0.39 # Proof object clause steps : 27 0.20/0.39 # Proof object formula steps : 25 0.20/0.39 # Proof object conjectures : 26 0.20/0.39 # Proof object clause conjectures : 23 0.20/0.39 # Proof object formula conjectures : 3 0.20/0.39 # Proof object initial clauses used : 12 0.20/0.39 # Proof object initial formulas used : 14 0.20/0.39 # Proof object generating inferences : 11 0.20/0.39 # Proof object simplifying inferences : 10 0.20/0.39 # Training examples: 0 positive, 0 negative 0.20/0.39 # Parsed axioms : 59 0.20/0.39 # Removed by relevancy pruning/SinE : 0 0.20/0.39 # Initial clauses : 58 0.20/0.39 # Removed in clause preprocessing : 28 0.20/0.39 # Initial clauses in saturation : 30 0.20/0.39 # Processed clauses : 122 0.20/0.39 # ...of these trivial : 1 0.20/0.39 # ...subsumed : 5 0.20/0.39 # ...remaining for further processing : 116 0.20/0.39 # Other redundant clauses eliminated : 10 0.20/0.39 # Clauses deleted for lack of memory : 0 0.20/0.39 # Backward-subsumed : 1 0.20/0.39 # Backward-rewritten : 22 0.20/0.39 # Generated clauses : 224 0.20/0.39 # ...of the previous two non-trivial : 164 0.20/0.39 # Contextual simplify-reflections : 1 0.20/0.39 # Paramodulations : 91 0.20/0.39 # Factorizations : 0 0.20/0.39 # NegExts : 54 0.20/0.39 # Equation resolutions : 10 0.20/0.39 # Propositional unsat checks : 0 0.20/0.39 # Propositional check models : 0 0.20/0.39 # Propositional check unsatisfiable : 0 0.20/0.39 # Propositional clauses : 0 0.20/0.39 # Propositional clauses after purity: 0 0.20/0.39 # Propositional unsat core size : 0 0.20/0.39 # Propositional preprocessing time : 0.000 0.20/0.39 # Propositional encoding time : 0.000 0.20/0.39 # Propositional solver time : 0.000 0.20/0.39 # Success case prop preproc time : 0.000 0.20/0.39 # Success case prop encoding time : 0.000 0.20/0.39 # Success case prop solver time : 0.000 0.20/0.39 # Current number of processed clauses : 55 0.20/0.39 # Positive orientable unit clauses : 14 0.20/0.39 # Positive unorientable unit clauses: 0 0.20/0.39 # Negative unit clauses : 21 0.20/0.39 # Non-unit-clauses : 20 0.20/0.39 # Current number of unprocessed clauses: 92 0.20/0.39 # ...number of literals in the above : 202 0.20/0.39 # Current number of archived formulas : 0 0.20/0.39 # Current number of archived clauses : 61 0.20/0.39 # Clause-clause subsumption calls (NU) : 486 0.20/0.39 # Rec. Clause-clause subsumption calls : 306 0.20/0.39 # Non-unit clause-clause subsumptions : 4 0.20/0.39 # Unit Clause-clause subsumption calls : 177 0.20/0.39 # Rewrite failures with RHS unbound : 0 0.20/0.39 # BW rewrite match attempts : 6 0.20/0.39 # BW rewrite match successes : 6 0.20/0.39 # Condensation attempts : 0 0.20/0.39 # Condensation successes : 0 0.20/0.39 # Termbank termtop insertions : 6157 0.20/0.39 0.20/0.39 # ------------------------------------------------- 0.20/0.39 # User time : 0.038 s 0.20/0.39 # System time : 0.006 s 0.20/0.39 # Total time : 0.044 s 0.20/0.39 # Maximum resident set size: 1724 pages 0.20/0.39 EOF