0.09/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.16 % 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 0.16/0.38 % Computer : n029.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % WCLimit : 120 0.16/0.38 % DateTime : Tue Jul 13 15:27:55 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Number of cores: 8 0.16/0.38 % Python version: Python 3.6.8 0.16/0.38 # Version: 2.6rc1-ho 0.16/0.39 # No SInE strategy applied 0.16/0.39 # Trying AutoSched0 for 59 seconds 0.46/0.69 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 0.46/0.69 # and selection function SelectMaxLComplexAvoidPosPred. 0.46/0.69 # 0.46/0.69 # Preprocessing time : 0.299 s 0.46/0.69 # Presaturation interreduction done 0.46/0.69 0.46/0.69 # Proof found! 0.46/0.69 # SZS status Theorem 0.46/0.69 # SZS output start CNFRefutation 0.46/0.69 thf(ax2, axiom, ![X36:$o]:(X36<=c_not @ (c_not @ (X36))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax2)). 0.46/0.69 thf(ax13, axiom, (c_not)=(^[X81:$o]:(X81=>c_False)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax13)). 0.46/0.69 thf(ax5, axiom, c_not @ (?[X1:$i]:c_In @ X1 @ c_Empty), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax5)). 0.46/0.69 thf(conj, conjecture, ![X1:$i]:(![X2:$i]:(c_In @ X2 @ X1=>![X3:$i]:(?[X110:$i]:![X6:$i]:((c_and @ (c_exactly2 @ X110) @ (c_not @ (c_exactly5 @ X6))<=c_ordinal @ X110)=>(((c_atleast2 @ X110=>(c_and @ (c_atleast5 @ X3) @ (c_not @ (c_exactly1of2 @ (c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)) @ (c_TransSet @ X6)))<=((c_not @ (c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)))=>(X110)=(X6))=>c_atleast3 @ X110)))<=(c_ordinal @ X110=>c_exactly2 @ X110))=>c_nat_p @ X110))<=c_In @ X3 @ X2))<=c_In @ X1 @ c_Empty), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 0.46/0.69 thf(c_0_4, plain, ![X36:$o]:(((((~X36|~c_not @ $true)&(X36|~c_not @ $false))|c_not @ $true)&(((~X36|c_not @ $true)&(X36|c_not @ $false))|c_not @ $false))=>X36), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax2])])). 0.46/0.69 thf(c_0_5, plain, ![X81:$o]:(c_not @ X81<=>(X81=>c_False)), inference(fof_simplification,[status(thm)],[ax13])). 0.46/0.69 thf(c_0_6, plain, ![X110:$i, X6:$i]:(epred113_2 @ X6 @ X110<=>((~c_exactly2 @ X110|((((~c_exactly5 @ X6|~c_not @ $true)&(c_exactly5 @ X6|~c_not @ $false))|c_and @ $true @ $true)&(((~c_exactly5 @ X6|c_not @ $true)&(c_exactly5 @ X6|c_not @ $false))|c_and @ $true @ $false)))&(c_exactly2 @ X110|((((~c_exactly5 @ X6|~c_not @ $true)&(c_exactly5 @ X6|~c_not @ $false))|c_and @ $false @ $true)&(((~c_exactly5 @ X6|c_not @ $true)&(c_exactly5 @ X6|c_not @ $false))|c_and @ $false @ $false))))), introduced(definition)). 0.46/0.69 thf(c_0_7, plain, ![X3:$i, X6:$i]:(epred114_2 @ X6 @ X3<=>((~c_atleast5 @ X3|((((((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $false @ $false))))|~c_not @ $true)&(((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $false @ $false))))|~c_not @ $false))|c_and @ $true @ $true)&(((((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $false @ $false))))|c_not @ $true)&(((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $false @ $false))))|c_not @ $false))|c_and @ $true @ $false)))&(c_atleast5 @ X3|((((((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $false @ $false))))|~c_not @ $true)&(((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $false @ $false))))|~c_not @ $false))|c_and @ $false @ $true)&(((((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|~c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|~c_exactly1of2 @ $false @ $false))))|c_not @ $true)&(((~c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $true @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $true @ $false)))&(c_SNoLt @ X3 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ (c_Power @ c_Empty)))) @ c_Empty)|((~c_TransSet @ X6|c_exactly1of2 @ $false @ $true)&(c_TransSet @ X6|c_exactly1of2 @ $false @ $false))))|c_not @ $false))|c_and @ $false @ $false))))), introduced(definition)). 0.46/0.69 thf(c_0_8, axiom, ((~(?[X1:$i]:c_In @ X1 @ c_Empty)|c_not @ $true)&(?[X1:$i]:c_In @ X1 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])). 0.46/0.69 thf(c_0_9, plain, ![X426:$o]:(((((((~X426|X426|(~X426|X426)|X426)&(~c_not @ $false|X426|(~X426|X426)|X426))&((~X426|~c_not @ $true|(~X426|X426)|X426)&(~c_not @ $false|~c_not @ $true|(~X426|X426)|X426)))&(~c_not @ $false|(~X426|X426)|X426))&((((~X426|X426|(c_not @ $false|X426)|X426)&(~c_not @ $false|X426|(c_not @ $false|X426)|X426))&((~X426|~c_not @ $true|(c_not @ $false|X426)|X426)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X426)|X426)))&(~c_not @ $false|(c_not @ $false|X426)|X426)))&(((((~X426|X426|(~X426|c_not @ $true)|X426)&(~c_not @ $false|X426|(~X426|c_not @ $true)|X426))&((~X426|~c_not @ $true|(~X426|c_not @ $true)|X426)&(~c_not @ $false|~c_not @ $true|(~X426|c_not @ $true)|X426)))&(~c_not @ $false|(~X426|c_not @ $true)|X426))&((((~X426|X426|(c_not @ $false|c_not @ $true)|X426)&(~c_not @ $false|X426|(c_not @ $false|c_not @ $true)|X426))&((~X426|~c_not @ $true|(c_not @ $false|c_not @ $true)|X426)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|X426)))&(~c_not @ $false|(c_not @ $false|c_not @ $true)|X426))))&((((~X426|X426|~c_not @ $true|X426)&(~c_not @ $false|X426|~c_not @ $true|X426))&((~X426|~c_not @ $true|~c_not @ $true|X426)&(~c_not @ $false|~c_not @ $true|~c_not @ $true|X426)))&(~c_not @ $false|~c_not @ $true|X426))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 0.46/0.69 thf(c_0_10, plain, ![X544:$o]:((~c_not @ X544|(~X544|c_False))&((X544|c_not @ X544)&(~c_False|c_not @ X544))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 0.46/0.69 thf(c_0_11, negated_conjecture, ~(![X1:$i]:(c_In @ X1 @ c_Empty=>![X2:$i]:(c_In @ X2 @ X1=>![X3:$i]:(c_In @ X3 @ X2=>?[X110:$i]:![X6:$i]:((c_ordinal @ X110=>epred113_2 @ X6 @ X110)=>(((c_ordinal @ X110=>c_exactly2 @ X110)=>(c_atleast2 @ X110=>(((((~c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|c_not @ $true)&(c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|c_not @ $false))=>(X110)=(X6))=>c_atleast3 @ X110)=>epred114_2 @ X6 @ X3)))=>c_nat_p @ X110)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])]), c_0_6]), c_0_7])). 0.46/0.69 thf(c_0_12, plain, ![X427:$i]:((~c_In @ X427 @ c_Empty|c_not @ $true)&(c_In @ esk20_0 @ c_Empty|c_not @ $false)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 0.46/0.69 thf(c_0_13, plain, (~c_not @ $false|~c_not @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9])])])). 0.46/0.69 thf(c_0_14, plain, c_not @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])). 0.46/0.69 thf(c_0_15, negated_conjecture, ![X600:$i]:(c_In @ esk42_0 @ c_Empty&(c_In @ esk43_0 @ esk42_0&(c_In @ esk44_0 @ esk43_0&((~c_ordinal @ X600|epred113_2 @ (esk45_1 @ X600) @ X600)&((((((~c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|c_ordinal @ X600)&(~c_not @ $false|c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|c_ordinal @ X600))&((~c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|~c_not @ $true|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|c_ordinal @ X600)&(~c_not @ $false|~c_not @ $true|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|c_ordinal @ X600)))&(~c_atleast3 @ X600|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|c_ordinal @ X600))&((((~c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|~c_exactly2 @ X600)&(~c_not @ $false|c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|~c_exactly2 @ X600))&((~c_atleast2 @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty))|~c_not @ $true|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|~c_exactly2 @ X600)&(~c_not @ $false|~c_not @ $true|(X600)=(esk45_1 @ X600)|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|~c_exactly2 @ X600)))&(~c_atleast3 @ X600|epred114_2 @ (esk45_1 @ X600) @ esk44_0|~c_atleast2 @ X600|~c_exactly2 @ X600)))&~c_nat_p @ X600))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])). 0.46/0.69 thf(c_0_16, plain, ![X1:$i]:(c_not @ $true|~c_In @ X1 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_12])). 0.46/0.69 thf(c_0_17, plain, ~c_not @ $true, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])). 0.46/0.69 thf(c_0_18, negated_conjecture, c_In @ esk42_0 @ c_Empty, inference(split_conjunct,[status(thm)],[c_0_15])). 0.46/0.69 thf(c_0_19, plain, ![X1:$i]:~c_In @ X1 @ c_Empty, inference(sr,[status(thm)],[c_0_16, c_0_17])). 0.46/0.69 thf(c_0_20, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_18, c_0_19]), ['proof']). 0.46/0.69 # SZS output end CNFRefutation 0.46/0.69 # Proof object total steps : 21 0.46/0.69 # Proof object clause steps : 7 0.46/0.69 # Proof object formula steps : 14 0.46/0.69 # Proof object conjectures : 5 0.46/0.69 # Proof object clause conjectures : 2 0.46/0.69 # Proof object formula conjectures : 3 0.46/0.69 # Proof object initial clauses used : 4 0.46/0.69 # Proof object initial formulas used : 4 0.46/0.69 # Proof object generating inferences : 0 0.46/0.69 # Proof object simplifying inferences : 6 0.46/0.69 # Training examples: 0 positive, 0 negative 0.46/0.69 # Parsed axioms : 213 0.46/0.69 # Removed by relevancy pruning/SinE : 0 0.46/0.69 # Initial clauses : 7366 0.46/0.69 # Removed in clause preprocessing : 2354 0.46/0.69 # Initial clauses in saturation : 5012 0.46/0.69 # Processed clauses : 25 0.46/0.69 # ...of these trivial : 1 0.46/0.69 # ...subsumed : 3 0.46/0.69 # ...remaining for further processing : 21 0.46/0.69 # Other redundant clauses eliminated : 0 0.46/0.69 # Clauses deleted for lack of memory : 0 0.46/0.69 # Backward-subsumed : 0 0.46/0.69 # Backward-rewritten : 0 0.46/0.69 # Generated clauses : 1 0.46/0.69 # ...of the previous two non-trivial : 0 0.46/0.69 # Contextual simplify-reflections : 0 0.46/0.69 # Paramodulations : 0 0.46/0.69 # Factorizations : 0 0.46/0.69 # NegExts : 0 0.46/0.69 # Equation resolutions : 0 0.46/0.69 # Propositional unsat checks : 0 0.46/0.69 # Propositional check models : 0 0.46/0.69 # Propositional check unsatisfiable : 0 0.46/0.69 # Propositional clauses : 0 0.46/0.69 # Propositional clauses after purity: 0 0.46/0.69 # Propositional unsat core size : 0 0.46/0.69 # Propositional preprocessing time : 0.000 0.46/0.69 # Propositional encoding time : 0.000 0.46/0.69 # Propositional solver time : 0.000 0.46/0.69 # Success case prop preproc time : 0.000 0.46/0.69 # Success case prop encoding time : 0.000 0.46/0.69 # Success case prop solver time : 0.000 0.46/0.69 # Current number of processed clauses : 20 0.46/0.69 # Positive orientable unit clauses : 6 0.46/0.69 # Positive unorientable unit clauses: 0 0.46/0.69 # Negative unit clauses : 10 0.46/0.69 # Non-unit-clauses : 4 0.46/0.69 # Current number of unprocessed clauses: 4987 0.46/0.69 # ...number of literals in the above : 25551 0.46/0.69 # Current number of archived formulas : 0 0.46/0.69 # Current number of archived clauses : 1 0.46/0.69 # Clause-clause subsumption calls (NU) : 3 0.46/0.69 # Rec. Clause-clause subsumption calls : 3 0.46/0.69 # Non-unit clause-clause subsumptions : 0 0.46/0.69 # Unit Clause-clause subsumption calls : 6 0.46/0.69 # Rewrite failures with RHS unbound : 0 0.46/0.69 # BW rewrite match attempts : 0 0.46/0.69 # BW rewrite match successes : 0 0.46/0.69 # Condensation attempts : 0 0.46/0.69 # Condensation successes : 0 0.46/0.69 # Termbank termtop insertions : 516655 0.46/0.69 0.46/0.69 # ------------------------------------------------- 0.46/0.69 # User time : 0.288 s 0.46/0.69 # System time : 0.024 s 0.46/0.69 # Total time : 0.312 s 0.46/0.69 # Maximum resident set size: 2008 pages 0.46/0.69 EOF