0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % 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 0.13/0.33 % Computer : n011.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Jul 13 10:59:25 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 # Version: 2.6rc1-ho 0.13/0.34 # No SInE strategy applied 0.13/0.34 # Trying AutoSched0 for 59 seconds 0.20/0.37 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S065A 0.20/0.37 # and selection function SelectComplexAHP. 0.20/0.37 # 0.20/0.37 # Preprocessing time : 0.030 s 0.20/0.37 # Presaturation interreduction done 0.20/0.37 0.20/0.37 # Proof found! 0.20/0.37 # SZS status Theorem 0.20/0.37 # SZS output start CNFRefutation 0.20/0.37 thf(mbox, axiom, (mbox)=(^[X24:$i > $o, X25:$i]:![X26:$i]:(~(rel @ X25 @ X26)|X24 @ X26)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mbox)). 0.20/0.37 thf(mbox_generic, axiom, (mbox_generic)=(^[X15:$i > $i > $o, X4:$i > $o, X3:$i]:![X16:$i]:(~(X15 @ X3 @ X16)|X4 @ X16)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mbox_generic)). 0.20/0.37 thf(mdia, axiom, (mdia)=(^[X27:$i > $o, X28:$i]:?[X29:$i]:(rel @ X28 @ X29&X27 @ X29)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mdia)). 0.20/0.37 thf(mdia_generic, axiom, (mdia_generic)=(^[X15:$i > $i > $o, X4:$i > $o, X3:$i]:?[X16:$i]:(X15 @ X3 @ X16&X4 @ X16)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mdia_generic)). 0.20/0.37 thf(mexists_eiw_ind, axiom, (mexists_eiw_ind)=(^[X18:mu > $i > $o, X34:$i]:~(![X37:mu]:(eiw_ind @ X34 @ X37=>~(X18 @ X37 @ X34)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL017^1.ax', mexists_eiw_ind)). 0.20/0.37 thf(mnot, axiom, (mnot)=(^[X4:$i > $o, X3:$i]:~(X4 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mnot)). 0.20/0.37 thf(mforall_eiw_ind, axiom, (mforall_eiw_ind)=(^[X17:mu > $i > $o, X3:$i]:![X1:mu]:(eiw_ind @ X3 @ X1=>X17 @ X1 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL017^1.ax', mforall_eiw_ind)). 0.20/0.37 thf(axii, axiom, mvalid @ (mforall_indset @ (^[X19:mu > $i > $o]:mforall_indset @ (^[X20:mu > $i > $o]:mimplies @ (mbox @ (mforall_eiw_ind @ (^[X1:mu]:mequiv @ (X19 @ X1) @ (X20 @ X1)))) @ (mequiv @ (p @ X19) @ (p @ X20))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axii)). 0.20/0.37 thf(mimplies, axiom, (mimplies)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3=>X5 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mimplies)). 0.20/0.37 thf(mequiv, axiom, (mequiv)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3<=>X5 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mequiv)). 0.20/0.37 thf(mforall_indset, axiom, (mforall_indset)=(^[X7:(mu > $i > $o) > $i > $o, X3:$i]:![X8:mu > $i > $o]:X7 @ X8 @ X3), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mforall_indset)). 0.20/0.37 thf(mvalid, axiom, (mvalid)=(^[X4:$i > $o]:![X3:$i]:X4 @ X3), file('/export/starexec/sandbox/benchmark/Axioms/LCL016^0.ax', mvalid)). 0.20/0.37 thf(possible_instantiation_of_the_positive_variable_domain, conjecture, mvalid @ (mforall_indset @ (^[X21:mu > $i > $o]:mimplies @ (p @ X21) @ (mdia @ (mexists_eiw_ind @ (^[X1:mu]:X21 @ X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', possible_instantiation_of_the_positive_variable_domain)). 0.20/0.37 thf(ax16, axiom, mvalid @ (mnot @ (p @ (^[X1:mu, X3:$i]:(X1)!=(X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax16)). 0.20/0.37 thf(c_0_14, axiom, (mbox)=(^[X24:$i > $o, X25:$i]:![X26:$i]:(~(rel @ X25 @ X26)|X24 @ X26)), inference(apply_def,[status(thm)],[mbox, mbox_generic])). 0.20/0.37 thf(c_0_15, axiom, (mdia)=(^[X27:$i > $o, X28:$i]:?[X29:$i]:(rel @ X28 @ X29&X27 @ X29)), inference(apply_def,[status(thm)],[mdia, mdia_generic])). 0.20/0.37 thf(c_0_16, axiom, (mexists_eiw_ind)=(^[X18:mu > $i > $o, X34:$i]:~(![X37:mu]:(eiw_ind @ X34 @ X37=>~(X18 @ X37 @ X34)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mexists_eiw_ind, mnot]), mforall_eiw_ind])). 0.20/0.37 thf(c_0_17, plain, ![X80:$i, X86:mu > $i > $o, X87:mu > $i > $o]:(![X88:$i]:(~rel @ X80 @ X88|![X89:mu]:(eiw_ind @ X88 @ X89=>(X86 @ X89 @ X88<=>X87 @ X89 @ X88)))=>(p @ X86 @ X80<=>p @ X87 @ X80)), 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(apply_def,[status(thm)],[axii, mimplies]), mequiv]), mforall_indset]), c_0_14]), mvalid]), mforall_eiw_ind])])). 0.20/0.37 thf(c_0_18, negated_conjecture, ~(![X112:$i, X117:mu > $i > $o]:(p @ X117 @ X112=>?[X118:$i]:(rel @ X112 @ X118&~(![X119:mu]:(eiw_ind @ X118 @ X119=>~X117 @ X119 @ X118))))), 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)],[possible_instantiation_of_the_positive_variable_domain]), mimplies]), mforall_indset]), c_0_15]), mvalid]), c_0_16])])). 0.20/0.37 thf(c_0_19, plain, ![X123:$i, X124:mu > $i > $o, X125:mu > $i > $o]:(((~p @ X124 @ X123|p @ X125 @ X123|rel @ X123 @ (esk2_3 @ X123 @ X124 @ X125))&(~p @ X125 @ X123|p @ X124 @ X123|rel @ X123 @ (esk2_3 @ X123 @ X124 @ X125)))&(((~p @ X124 @ X123|p @ X125 @ X123|eiw_ind @ (esk2_3 @ X123 @ X124 @ X125) @ (esk3_3 @ X123 @ X124 @ X125))&(~p @ X125 @ X123|p @ X124 @ X123|eiw_ind @ (esk2_3 @ X123 @ X124 @ X125) @ (esk3_3 @ X123 @ X124 @ X125)))&(((~p @ X124 @ X123|p @ X125 @ X123|(~X124 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)|~X125 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)))&(~p @ X125 @ X123|p @ X124 @ X123|(~X124 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)|~X125 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125))))&((~p @ X124 @ X123|p @ X125 @ X123|(X124 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)|X125 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)))&(~p @ X125 @ X123|p @ X124 @ X123|(X124 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125)|X125 @ (esk3_3 @ X123 @ X124 @ X125) @ (esk2_3 @ X123 @ X124 @ X125))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])). 0.20/0.37 thf(c_0_20, negated_conjecture, ![X130:$i, X131:mu]:(p @ epred2_0 @ esk4_0&(~rel @ esk4_0 @ X130|(~eiw_ind @ X130 @ X131|~epred2_0 @ X131 @ X130))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])). 0.20/0.37 thf(c_0_21, plain, ![X8:mu > $i > $o, X6:mu > $i > $o, X3:$i]:(p @ X8 @ X3|rel @ X3 @ (esk2_3 @ X3 @ X8 @ X6)|~p @ X6 @ X3), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.37 thf(c_0_22, negated_conjecture, p @ epred2_0 @ esk4_0, inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.37 thf(c_0_23, plain, ![X44:$i, X43:mu]:(epred1_2 @ X43 @ X44<=>(X43)!=(X43)), introduced(definition)). 0.20/0.37 thf(c_0_24, negated_conjecture, ![X1:mu, X3:$i]:(~rel @ esk4_0 @ X3|~eiw_ind @ X3 @ X1|~epred2_0 @ X1 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])). 0.20/0.37 thf(c_0_25, negated_conjecture, ![X6:mu > $i > $o]:(rel @ esk4_0 @ (esk2_3 @ esk4_0 @ X6 @ epred2_0)|p @ X6 @ esk4_0), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.20/0.37 thf(c_0_26, plain, ![X8:mu > $i > $o, X6:mu > $i > $o, X3:$i]:(p @ X8 @ X3|eiw_ind @ (esk2_3 @ X3 @ X8 @ X6) @ (esk3_3 @ X3 @ X8 @ X6)|~p @ X6 @ X3), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.37 thf(c_0_27, plain, ![X132:$i, X133:mu]:((~epred1_2 @ X133 @ X132|(X133)!=(X133))&((X133)=(X133)|epred1_2 @ X133 @ X132)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])). 0.20/0.37 thf(c_0_28, negated_conjecture, ![X1:mu, X6:mu > $i > $o]:(p @ X6 @ esk4_0|~eiw_ind @ (esk2_3 @ esk4_0 @ X6 @ epred2_0) @ X1|~epred2_0 @ X1 @ (esk2_3 @ esk4_0 @ X6 @ epred2_0)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.20/0.37 thf(c_0_29, negated_conjecture, ![X6:mu > $i > $o]:(eiw_ind @ (esk2_3 @ esk4_0 @ X6 @ epred2_0) @ (esk3_3 @ esk4_0 @ X6 @ epred2_0)|p @ X6 @ esk4_0), inference(spm,[status(thm)],[c_0_26, c_0_22])). 0.20/0.37 thf(c_0_30, plain, ![X40:$i]:~p @ epred1_2 @ X40, inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ax16, mnot]), mvalid]), c_0_23])])). 0.20/0.37 thf(c_0_31, plain, ![X3:$i, X1:mu]:(~epred1_2 @ X1 @ X3|(X1)!=(X1)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.20/0.37 thf(c_0_32, plain, ![X8:mu > $i > $o, X6:mu > $i > $o, X3:$i]:(p @ X8 @ X3|X8 @ (esk3_3 @ X3 @ X8 @ X6) @ (esk2_3 @ X3 @ X8 @ X6)|X6 @ (esk3_3 @ X3 @ X8 @ X6) @ (esk2_3 @ X3 @ X8 @ X6)|~p @ X6 @ X3), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.37 thf(c_0_33, negated_conjecture, ![X6:mu > $i > $o]:(p @ X6 @ esk4_0|~epred2_0 @ (esk3_3 @ esk4_0 @ X6 @ epred2_0) @ (esk2_3 @ esk4_0 @ X6 @ epred2_0)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.20/0.37 thf(c_0_34, plain, ![X122:$i]:~p @ epred1_2 @ X122, inference(variable_rename,[status(thm)],[c_0_30])). 0.20/0.37 thf(c_0_35, plain, ![X1:mu, X3:$i]:~epred1_2 @ X1 @ X3, inference(cn,[status(thm)],[c_0_31])). 0.20/0.37 thf(c_0_36, negated_conjecture, ![X6:mu > $i > $o]:(X6 @ (esk3_3 @ esk4_0 @ X6 @ epred2_0) @ (esk2_3 @ esk4_0 @ X6 @ epred2_0)|p @ X6 @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_22]), c_0_33])). 0.20/0.37 thf(c_0_37, plain, ![X3:$i]:~p @ epred1_2 @ X3, inference(split_conjunct,[status(thm)],[c_0_34])). 0.20/0.37 thf(c_0_38, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), ['proof']). 0.20/0.37 # SZS output end CNFRefutation 0.20/0.37 # Proof object total steps : 39 0.20/0.37 # Proof object clause steps : 14 0.20/0.37 # Proof object formula steps : 25 0.20/0.37 # Proof object conjectures : 10 0.20/0.37 # Proof object clause conjectures : 7 0.20/0.37 # Proof object formula conjectures : 3 0.20/0.37 # Proof object initial clauses used : 7 0.20/0.37 # Proof object initial formulas used : 14 0.20/0.37 # Proof object generating inferences : 6 0.20/0.37 # Proof object simplifying inferences : 3 0.20/0.37 # Training examples: 0 positive, 0 negative 0.20/0.37 # Parsed axioms : 56 0.20/0.37 # Removed by relevancy pruning/SinE : 0 0.20/0.37 # Initial clauses : 42 0.20/0.37 # Removed in clause preprocessing : 29 0.20/0.37 # Initial clauses in saturation : 13 0.20/0.37 # Processed clauses : 47 0.20/0.37 # ...of these trivial : 0 0.20/0.37 # ...subsumed : 4 0.20/0.37 # ...remaining for further processing : 43 0.20/0.37 # Other redundant clauses eliminated : 11 0.20/0.37 # Clauses deleted for lack of memory : 0 0.20/0.37 # Backward-subsumed : 0 0.20/0.37 # Backward-rewritten : 0 0.20/0.37 # Generated clauses : 54 0.20/0.37 # ...of the previous two non-trivial : 22 0.20/0.37 # Contextual simplify-reflections : 1 0.20/0.37 # Paramodulations : 19 0.20/0.37 # Factorizations : 0 0.20/0.37 # NegExts : 3 0.20/0.37 # Equation resolutions : 11 0.20/0.37 # Propositional unsat checks : 0 0.20/0.37 # Propositional check models : 0 0.20/0.37 # Propositional check unsatisfiable : 0 0.20/0.37 # Propositional clauses : 0 0.20/0.37 # Propositional clauses after purity: 0 0.20/0.37 # Propositional unsat core size : 0 0.20/0.37 # Propositional preprocessing time : 0.000 0.20/0.37 # Propositional encoding time : 0.000 0.20/0.37 # Propositional solver time : 0.000 0.20/0.37 # Success case prop preproc time : 0.000 0.20/0.37 # Success case prop encoding time : 0.000 0.20/0.37 # Success case prop solver time : 0.000 0.20/0.37 # Current number of processed clauses : 28 0.20/0.37 # Positive orientable unit clauses : 4 0.20/0.37 # Positive unorientable unit clauses: 0 0.20/0.37 # Negative unit clauses : 4 0.20/0.37 # Non-unit-clauses : 20 0.20/0.37 # Current number of unprocessed clauses: 1 0.20/0.37 # ...number of literals in the above : 3 0.20/0.37 # Current number of archived formulas : 0 0.20/0.37 # Current number of archived clauses : 15 0.20/0.37 # Clause-clause subsumption calls (NU) : 40 0.20/0.37 # Rec. Clause-clause subsumption calls : 40 0.20/0.37 # Non-unit clause-clause subsumptions : 3 0.20/0.37 # Unit Clause-clause subsumption calls : 3 0.20/0.37 # Rewrite failures with RHS unbound : 0 0.20/0.37 # BW rewrite match attempts : 0 0.20/0.37 # BW rewrite match successes : 0 0.20/0.37 # Condensation attempts : 0 0.20/0.37 # Condensation successes : 0 0.20/0.37 # Termbank termtop insertions : 3212 0.20/0.37 0.20/0.37 # ------------------------------------------------- 0.20/0.37 # User time : 0.032 s 0.20/0.37 # System time : 0.003 s 0.20/0.37 # Total time : 0.035 s 0.20/0.37 # Maximum resident set size: 1716 pages 0.20/0.37 EOF