0.07/0.13 % 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 0.14/0.36 % Computer : n006.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 15:26:10 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.37 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 0.22/0.40 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.22/0.40 # and selection function SelectComplexExceptUniqMaxHorn. 0.22/0.40 # 0.22/0.40 # Preprocessing time : 0.029 s 0.22/0.40 # Presaturation interreduction done 0.22/0.40 0.22/0.40 # Proof found! 0.22/0.40 # SZS status Theorem 0.22/0.40 # SZS output start CNFRefutation 0.22/0.40 thf(iftrue, conjecture, (iftrueProp1=>(ifSingleton=>(theeq=>![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:((X2=>(if @ X1 @ (X2) @ X3 @ X4)=(X3))<=in @ X4 @ X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrue)). 0.22/0.40 thf(iftrueProp1, axiom, (iftrueProp1<=>![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X2=>in @ X3 @ (dsetconstr @ X1 @ (^[X5:$i]:((X2&(X5)=(X3))|(~(X2)&(X5)=(X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', iftrueProp1)). 0.22/0.40 thf(ifSingleton, axiom, (ifSingleton<=>![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:(in @ X4 @ X1=>singleton @ (dsetconstr @ X1 @ (^[X5:$i]:((X2&(X5)=(X3))|(~(X2)&(X5)=(X4)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ifSingleton)). 0.22/0.40 thf(theeq, axiom, (theeq<=>![X6:$i]:(singleton @ X6=>![X3:$i]:(in @ X3 @ X6=>(setunion @ X6)=(X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theeq)). 0.22/0.40 thf(if, axiom, (if)=(^[X1:$i, X2:$o, X3:$i, X4:$i]:setunion @ (dsetconstr @ X1 @ (^[X5:$i]:((X2&(X5)=(X3))|(~(X2)&(X5)=(X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', if)). 0.22/0.40 thf(c_0_5, plain, ![X21:$i, X2:$o, X3:$i, X4:$i]:(epred1_4 @ X4 @ X3 @ X2 @ X21<=>((X2&(X21)=(X3))|(~X2&(X21)=(X4)))), inference(fof_simplification,[status(thm)],[introduced(definition)])). 0.22/0.40 thf(c_0_6, negated_conjecture, ~((![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X2=>in @ X3 @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2)))))=>(![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:(in @ X4 @ X1=>singleton @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2))))=>(![X6:$i]:(singleton @ X6=>![X3:$i]:(in @ X3 @ X6=>(setunion @ X6)=(X3)))=>![X1:$i, X2:$o, X3:$i]:(in @ X3 @ X1=>![X4:$i]:(in @ X4 @ X1=>(X2=>((~X2|(if @ X1 @ $true @ X3 @ X4)=(X3))&(X2|(if @ X1 @ $false @ X3 @ X4)=(X3)))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[iftrue]), iftrueProp1]), ifSingleton]), theeq]), c_0_5]), c_0_5])])])). 0.22/0.40 thf(c_0_7, plain, ![X1:$i, X2:$o, X3:$i, X4:$i]:(if @ X1 @ X2 @ X3 @ X4)=(setunion @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[if]), c_0_5])). 0.22/0.40 thf(c_0_8, negated_conjecture, ![X26:$i, X27:$o, X28:$i, X29:$i, X30:$i, X31:$o, X32:$i, X33:$i, X34:$i, X35:$i]:((~in @ X28 @ X26|(~in @ X29 @ X26|(~X27|in @ X28 @ (dsetconstr @ X26 @ (epred1_4 @ X29 @ X28 @ X27)))))&((~in @ X32 @ X30|(~in @ X33 @ X30|singleton @ (dsetconstr @ X30 @ (epred1_4 @ X33 @ X32 @ X31))))&((~singleton @ X34|(~in @ X35 @ X34|(setunion @ X34)=(X35)))&(in @ esk2_0 @ esk1_0&(in @ esk3_0 @ esk1_0&(epred2_0&(((~epred2_0|epred2_0)&((if @ esk1_0 @ $false @ esk2_0 @ esk3_0)!=(esk2_0)|epred2_0))&((~epred2_0|(if @ esk1_0 @ $true @ esk2_0 @ esk3_0)!=(esk2_0))&((if @ esk1_0 @ $false @ esk2_0 @ esk3_0)!=(esk2_0)|(if @ esk1_0 @ $true @ esk2_0 @ esk3_0)!=(esk2_0)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])). 0.22/0.40 thf(c_0_9, plain, ![X22:$i, X23:$o, X24:$i, X25:$i]:(if @ X22 @ X23 @ X24 @ X25)=(setunion @ (dsetconstr @ X22 @ (epred1_4 @ X25 @ X24 @ X23))), inference(variable_rename,[status(thm)],[c_0_7])). 0.22/0.40 thf(c_0_10, negated_conjecture, (~epred2_0|(if @ esk1_0 @ $true @ esk2_0 @ esk3_0)!=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_11, negated_conjecture, epred2_0, inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_12, negated_conjecture, ![X3:$i, X1:$i]:((setunion @ X1)=(X3)|~singleton @ X1|~in @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_13, negated_conjecture, ![X1:$i, X4:$i, X3:$i]:(in @ X1 @ (dsetconstr @ X3 @ (epred1_4 @ X4 @ X1 @ $true))|~in @ X1 @ X3|~in @ X4 @ X3), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8])])])). 0.22/0.40 thf(c_0_14, plain, ![X1:$i, X4:$i, X3:$i, X2:$o]:(if @ X1 @ X2 @ X3 @ X4)=(setunion @ (dsetconstr @ X1 @ (epred1_4 @ X4 @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.40 thf(c_0_15, negated_conjecture, ![X1:$i, X2:$o, X4:$i, X3:$i]:(singleton @ (dsetconstr @ X3 @ (epred1_4 @ X4 @ X1 @ X2))|~in @ X1 @ X3|~in @ X4 @ X3), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_16, negated_conjecture, (if @ esk1_0 @ $true @ esk2_0 @ esk3_0)!=(esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])). 0.22/0.40 thf(c_0_17, negated_conjecture, ![X4:$i, X3:$i, X1:$i]:((if @ X1 @ $true @ X3 @ X4)=(X3)|~in @ X4 @ X1|~in @ X3 @ X1), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15])). 0.22/0.40 thf(c_0_18, negated_conjecture, in @ esk3_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_19, negated_conjecture, in @ esk2_0 @ esk1_0, inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.40 thf(c_0_20, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])]), ['proof']). 0.22/0.40 # SZS output end CNFRefutation 0.22/0.40 # Proof object total steps : 21 0.22/0.40 # Proof object clause steps : 11 0.22/0.40 # Proof object formula steps : 10 0.22/0.40 # Proof object conjectures : 13 0.22/0.40 # Proof object clause conjectures : 10 0.22/0.40 # Proof object formula conjectures : 3 0.22/0.40 # Proof object initial clauses used : 8 0.22/0.40 # Proof object initial formulas used : 5 0.22/0.40 # Proof object generating inferences : 2 0.22/0.40 # Proof object simplifying inferences : 8 0.22/0.40 # Training examples: 0 positive, 0 negative 0.22/0.40 # Parsed axioms : 13 0.22/0.40 # Removed by relevancy pruning/SinE : 0 0.22/0.40 # Initial clauses : 25 0.22/0.40 # Removed in clause preprocessing : 10 0.22/0.40 # Initial clauses in saturation : 15 0.22/0.40 # Processed clauses : 34 0.22/0.40 # ...of these trivial : 1 0.22/0.40 # ...subsumed : 1 0.22/0.40 # ...remaining for further processing : 32 0.22/0.40 # Other redundant clauses eliminated : 2 0.22/0.40 # Clauses deleted for lack of memory : 0 0.22/0.40 # Backward-subsumed : 0 0.22/0.40 # Backward-rewritten : 0 0.22/0.40 # Generated clauses : 7 0.22/0.40 # ...of the previous two non-trivial : 6 0.22/0.40 # Contextual simplify-reflections : 1 0.22/0.40 # Paramodulations : 5 0.22/0.40 # Factorizations : 0 0.22/0.40 # NegExts : 0 0.22/0.40 # Equation resolutions : 2 0.22/0.40 # Propositional unsat checks : 0 0.22/0.40 # Propositional check models : 0 0.22/0.40 # Propositional check unsatisfiable : 0 0.22/0.40 # Propositional clauses : 0 0.22/0.40 # Propositional clauses after purity: 0 0.22/0.40 # Propositional unsat core size : 0 0.22/0.40 # Propositional preprocessing time : 0.000 0.22/0.40 # Propositional encoding time : 0.000 0.22/0.40 # Propositional solver time : 0.000 0.22/0.40 # Success case prop preproc time : 0.000 0.22/0.40 # Success case prop encoding time : 0.000 0.22/0.40 # Success case prop solver time : 0.000 0.22/0.40 # Current number of processed clauses : 17 0.22/0.40 # Positive orientable unit clauses : 6 0.22/0.40 # Positive unorientable unit clauses: 0 0.22/0.40 # Negative unit clauses : 1 0.22/0.40 # Non-unit-clauses : 10 0.22/0.40 # Current number of unprocessed clauses: 0 0.22/0.40 # ...number of literals in the above : 0 0.22/0.40 # Current number of archived formulas : 0 0.22/0.40 # Current number of archived clauses : 13 0.22/0.40 # Clause-clause subsumption calls (NU) : 14 0.22/0.40 # Rec. Clause-clause subsumption calls : 13 0.22/0.40 # Non-unit clause-clause subsumptions : 1 0.22/0.40 # Unit Clause-clause subsumption calls : 0 0.22/0.40 # Rewrite failures with RHS unbound : 0 0.22/0.40 # BW rewrite match attempts : 3 0.22/0.40 # BW rewrite match successes : 0 0.22/0.40 # Condensation attempts : 0 0.22/0.40 # Condensation successes : 0 0.22/0.40 # Termbank termtop insertions : 1628 0.22/0.40 0.22/0.40 # ------------------------------------------------- 0.22/0.40 # User time : 0.027 s 0.22/0.40 # System time : 0.007 s 0.22/0.40 # Total time : 0.034 s 0.22/0.40 # Maximum resident set size: 1644 pages 0.22/0.40 EOF