0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % 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 0.14/0.35 % Computer : n012.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 13:44:01 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 0.22/0.41 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.22/0.41 # and selection function SelectComplexExceptUniqMaxHorn. 0.22/0.41 # 0.22/0.41 # Preprocessing time : 0.035 s 0.22/0.41 # Presaturation interreduction done 0.22/0.41 0.22/0.41 # Proof found! 0.22/0.41 # SZS status Theorem 0.22/0.41 # SZS output start CNFRefutation 0.22/0.41 thf(pushprop_lem0, axiom, (pushprop_lem0<=>![X6:term > $o, X1:term, X3:subst]:?[X9:term > $o]:pushprop_p_and_p_prime @ X1 @ X3 @ X6 @ X9), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', pushprop_lem0)). 0.22/0.41 thf(pushprop_p_and_p_prime, axiom, (pushprop_p_and_p_prime)=(^[X1:term, X3:subst, X6:term > $o, X9:term > $o]:![X10:term]:(X9 @ X10<=>X6 @ (sub @ X10 @ (push @ X1 @ X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', pushprop_p_and_p_prime)). 0.22/0.41 thf(pushprop_lthm, axiom, (pushprop_lthm<=>(pushprop_lem0=>(ulamvar1=>(axvarcons=>(axclos=>(axshiftcons=>(ulamvarind=>pushprop))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', pushprop_lthm)). 0.22/0.41 thf(axvarcons, axiom, (axvarcons<=>![X1:term, X3:subst]:(sub @ one @ (push @ X1 @ X3))=(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axvarcons)). 0.22/0.41 thf(axclos, axiom, (axclos<=>![X1:term, X3:subst, X4:subst]:(sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axclos)). 0.22/0.41 thf(axshiftcons, axiom, (axshiftcons<=>![X1:term, X3:subst]:(comp @ sh @ (push @ X1 @ X3))=(X3)), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axshiftcons)). 0.22/0.41 thf(ulamvar1, axiom, (ulamvar1<=>var @ one), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', ulamvar1)). 0.22/0.41 thf(ulamvarind, axiom, (ulamvarind<=>![X6:term > $o]:(X6 @ one=>(![X1:term]:(var @ X1=>(X6 @ X1=>X6 @ (sub @ X1 @ sh)))=>![X1:term]:(var @ X1=>X6 @ X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', ulamvarind)). 0.22/0.41 thf(pushprop, axiom, (pushprop<=>![X6:term > $o, X1:term, X3:subst]:(![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ X3))=>(X6 @ X1=>![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ (push @ X1 @ X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', pushprop)). 0.22/0.41 thf(thm, conjecture, pushprop_lthm, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)). 0.22/0.41 thf(c_0_10, axiom, (pushprop_lem0)=(![X6:term > $o, X1:term, X3:subst]:?[X9:term > $o]:![X326:term]:(X9 @ X326<=>X6 @ (sub @ X326 @ (push @ X1 @ X3)))), inference(apply_def,[status(thm)],[pushprop_lem0, pushprop_p_and_p_prime])). 0.22/0.41 thf(c_0_11, axiom, (pushprop_lthm)=((![X6:term > $o, X1:term, X3:subst]:?[X9:term > $o]:![X324:term]:(X9 @ X324<=>X6 @ (sub @ X324 @ (push @ X1 @ X3)))=>(var @ one=>(![X1:term, X3:subst]:(sub @ one @ (push @ X1 @ X3))=(X1)=>(![X1:term, X3:subst, X4:subst]:(sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))=>(![X1:term, X3:subst]:(comp @ sh @ (push @ X1 @ X3))=(X3)=>(![X6:term > $o]:(X6 @ one=>(![X1:term]:(var @ X1=>(X6 @ X1=>X6 @ (sub @ X1 @ sh)))=>![X1:term]:(var @ X1=>X6 @ X1)))=>![X6:term > $o, X1:term, X3:subst]:(![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ X3))=>(X6 @ X1=>![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ (push @ X1 @ X3)))))))))))), 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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[pushprop_lthm, axvarcons]), axclos]), axshiftcons]), ulamvar1]), ulamvarind]), pushprop_p_and_p_prime]), c_0_10]), pushprop])). 0.22/0.41 thf(c_0_12, negated_conjecture, ~((![X6:term > $o, X1:term, X3:subst]:?[X9:term > $o]:![X324:term]:(X9 @ X324<=>X6 @ (sub @ X324 @ (push @ X1 @ X3)))=>(var @ one=>(![X1:term, X3:subst]:(sub @ one @ (push @ X1 @ X3))=(X1)=>(![X1:term, X3:subst, X4:subst]:(sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))=>(![X1:term, X3:subst]:(comp @ sh @ (push @ X1 @ X3))=(X3)=>(![X6:term > $o]:(X6 @ one=>(![X1:term]:(var @ X1=>(X6 @ X1=>X6 @ (sub @ X1 @ sh)))=>![X1:term]:(var @ X1=>X6 @ X1)))=>![X6:term > $o, X1:term, X3:subst]:(![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ X3))=>(X6 @ X1=>![X2:term]:(var @ X2=>X6 @ (sub @ X2 @ (push @ X1 @ X3)))))))))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_11])). 0.22/0.41 thf(c_0_13, negated_conjecture, ![X335:term > $o, X336:term, X337:subst, X339:term, X340:term, X341:term, X342:subst, X343:term, X344:subst, X345:subst, X346:term, X347:subst, X348:term > $o, X350:term, X354:term]:(((~epred1_3 @ X335 @ X336 @ X337 @ X339|X335 @ (sub @ X339 @ (push @ X336 @ X337)))&(~X335 @ (sub @ X340 @ (push @ X336 @ X337))|epred1_3 @ X335 @ X336 @ X337 @ X340))&(var @ one&((sub @ one @ (push @ X341 @ X342))=(X341)&((sub @ (sub @ X343 @ X344) @ X345)=(sub @ X343 @ (comp @ X344 @ X345))&((comp @ sh @ (push @ X346 @ X347))=(X347)&(((var @ (esk1_1 @ X348)|(~var @ X350|X348 @ X350)|~X348 @ one)&((X348 @ (esk1_1 @ X348)|(~var @ X350|X348 @ X350)|~X348 @ one)&(~X348 @ (sub @ (esk1_1 @ X348) @ sh)|(~var @ X350|X348 @ X350)|~X348 @ one)))&((~var @ X354|epred2_0 @ (sub @ X354 @ esk3_0))&(epred2_0 @ esk2_0&(var @ esk4_0&~epred2_0 @ (sub @ esk4_0 @ (push @ esk2_0 @ esk3_0))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])])). 0.22/0.41 thf(c_0_14, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_15, negated_conjecture, ![X1:term, X3:subst]:(comp @ sh @ (push @ X1 @ X3))=(X3), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_16, negated_conjecture, ![X6:term > $o, X1:term, X2:term, X3:subst]:(epred1_3 @ X6 @ X2 @ X3 @ X1|~X6 @ (sub @ X1 @ (push @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_17, negated_conjecture, ![X1:term, X2:term, X3:subst]:(sub @ (sub @ X1 @ sh) @ (push @ X2 @ X3))=(sub @ X1 @ X3), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.22/0.41 thf(c_0_18, negated_conjecture, ![X1:term, X6:term > $o]:(X6 @ X1|~X6 @ (sub @ (esk1_1 @ X6) @ sh)|~var @ X1|~X6 @ one), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_19, negated_conjecture, ![X6:term > $o, X1:term, X2:term, X3:subst]:(epred1_3 @ X6 @ X1 @ X3 @ (sub @ X2 @ sh)|~X6 @ (sub @ X2 @ X3)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.22/0.41 thf(c_0_20, negated_conjecture, ![X6:term > $o, X1:term, X3:subst, X2:term]:(epred1_3 @ X6 @ X1 @ X3 @ X2|~X6 @ (sub @ (esk1_1 @ (epred1_3 @ X6 @ X1 @ X3)) @ X3)|~epred1_3 @ X6 @ X1 @ X3 @ one|~var @ X2), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.22/0.41 thf(c_0_21, negated_conjecture, ![X1:term]:(epred2_0 @ (sub @ X1 @ esk3_0)|~var @ X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_22, negated_conjecture, ![X1:term, X6:term > $o]:(var @ (esk1_1 @ X6)|X6 @ X1|~var @ X1|~X6 @ one), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_23, negated_conjecture, ![X3:subst, X1:term]:(sub @ one @ (push @ X1 @ X3))=(X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_24, negated_conjecture, ![X1:term, X2:term]:(epred1_3 @ epred2_0 @ X1 @ esk3_0 @ X2|~epred1_3 @ epred2_0 @ X1 @ esk3_0 @ one|~var @ X2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])). 0.22/0.41 thf(c_0_25, negated_conjecture, ![X6:term > $o, X3:subst, X1:term]:(epred1_3 @ X6 @ X1 @ X3 @ one|~X6 @ X1), inference(spm,[status(thm)],[c_0_16, c_0_23])). 0.22/0.41 thf(c_0_26, negated_conjecture, ![X6:term > $o, X1:term, X3:subst, X2:term]:(X6 @ (sub @ X2 @ (push @ X1 @ X3))|~epred1_3 @ X6 @ X1 @ X3 @ X2), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_27, negated_conjecture, ![X2:term, X1:term]:(epred1_3 @ epred2_0 @ X1 @ esk3_0 @ X2|~var @ X2|~epred2_0 @ X1), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.22/0.41 thf(c_0_28, negated_conjecture, ~epred2_0 @ (sub @ esk4_0 @ (push @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_29, negated_conjecture, ![X1:term, X2:term]:(epred2_0 @ (sub @ X1 @ (push @ X2 @ esk3_0))|~var @ X1|~epred2_0 @ X2), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.22/0.41 thf(c_0_30, negated_conjecture, var @ esk4_0, inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_31, negated_conjecture, epred2_0 @ esk2_0, inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.41 thf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])]), ['proof']). 0.22/0.41 # SZS output end CNFRefutation 0.22/0.41 # Proof object total steps : 33 0.22/0.41 # Proof object clause steps : 19 0.22/0.41 # Proof object formula steps : 14 0.22/0.41 # Proof object conjectures : 22 0.22/0.41 # Proof object clause conjectures : 19 0.22/0.41 # Proof object formula conjectures : 3 0.22/0.41 # Proof object initial clauses used : 11 0.22/0.41 # Proof object initial formulas used : 10 0.22/0.41 # Proof object generating inferences : 8 0.22/0.41 # Proof object simplifying inferences : 4 0.22/0.41 # Training examples: 0 positive, 0 negative 0.22/0.41 # Parsed axioms : 238 0.22/0.41 # Removed by relevancy pruning/SinE : 0 0.22/0.41 # Initial clauses : 139 0.22/0.41 # Removed in clause preprocessing : 124 0.22/0.41 # Initial clauses in saturation : 15 0.22/0.41 # Processed clauses : 107 0.22/0.41 # ...of these trivial : 1 0.22/0.41 # ...subsumed : 41 0.22/0.41 # ...remaining for further processing : 65 0.22/0.41 # Other redundant clauses eliminated : 3 0.22/0.41 # Clauses deleted for lack of memory : 0 0.22/0.41 # Backward-subsumed : 0 0.22/0.41 # Backward-rewritten : 0 0.22/0.41 # Generated clauses : 210 0.22/0.41 # ...of the previous two non-trivial : 152 0.22/0.41 # Contextual simplify-reflections : 1 0.22/0.41 # Paramodulations : 154 0.22/0.41 # Factorizations : 0 0.22/0.41 # NegExts : 0 0.22/0.41 # Equation resolutions : 3 0.22/0.41 # Propositional unsat checks : 0 0.22/0.41 # Propositional check models : 0 0.22/0.41 # Propositional check unsatisfiable : 0 0.22/0.41 # Propositional clauses : 0 0.22/0.41 # Propositional clauses after purity: 0 0.22/0.41 # Propositional unsat core size : 0 0.22/0.41 # Propositional preprocessing time : 0.000 0.22/0.41 # Propositional encoding time : 0.000 0.22/0.41 # Propositional solver time : 0.000 0.22/0.41 # Success case prop preproc time : 0.000 0.22/0.41 # Success case prop encoding time : 0.000 0.22/0.41 # Success case prop solver time : 0.000 0.22/0.41 # Current number of processed clauses : 50 0.22/0.41 # Positive orientable unit clauses : 11 0.22/0.41 # Positive unorientable unit clauses: 10 0.22/0.41 # Negative unit clauses : 1 0.22/0.41 # Non-unit-clauses : 28 0.22/0.41 # Current number of unprocessed clauses: 71 0.22/0.41 # ...number of literals in the above : 190 0.22/0.41 # Current number of archived formulas : 0 0.22/0.41 # Current number of archived clauses : 15 0.22/0.41 # Clause-clause subsumption calls (NU) : 176 0.22/0.41 # Rec. Clause-clause subsumption calls : 144 0.22/0.41 # Non-unit clause-clause subsumptions : 9 0.22/0.41 # Unit Clause-clause subsumption calls : 10 0.22/0.41 # Rewrite failures with RHS unbound : 126 0.22/0.41 # BW rewrite match attempts : 50 0.22/0.41 # BW rewrite match successes : 8 0.22/0.41 # Condensation attempts : 0 0.22/0.41 # Condensation successes : 0 0.22/0.41 # Termbank termtop insertions : 18628 0.22/0.41 0.22/0.41 # ------------------------------------------------- 0.22/0.41 # User time : 0.043 s 0.22/0.41 # System time : 0.009 s 0.22/0.41 # Total time : 0.052 s 0.22/0.41 # Maximum resident set size: 2000 pages 0.22/0.41 EOF