0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.02/0.23 % Computer : n065.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:37:54 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 # Version: 2.2pre001 0.02/0.24 # No SInE strategy applied 0.02/0.24 # Trying AutoSched0 for 151 seconds 0.06/0.30 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y 0.06/0.30 # and selection function SelectMaxLComplexAvoidPosPred. 0.06/0.30 # 0.06/0.30 # Preprocessing time : 0.016 s 0.06/0.30 # Presaturation interreduction done 0.06/0.30 0.06/0.30 # Proof found! 0.06/0.30 # SZS status Theorem 0.06/0.30 # SZS output start CNFRefutation 0.06/0.30 fof(d5_tarski, axiom, ![X1, X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_tarski)). 0.06/0.30 fof(t69_enumset1, lemma, ![X1]:singleton(X1)=unordered_pair(X1,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t69_enumset1)). 0.06/0.30 fof(d4_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1))<=>relation_dom(X1)=X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_relat_1)). 0.06/0.30 fof(d1_xboole_0, axiom, ![X1]:(empty_set=X1<=>![X2]:~(in(X2,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)). 0.06/0.30 fof(commutativity_k2_tarski, axiom, ![X1, X2]:unordered_pair(X2,X1)=unordered_pair(X1,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)). 0.06/0.30 fof(d5_relat_1, axiom, ![X1]:(![X2]:(![X3]:(?[X4]:in(ordered_pair(X4,X3),X1)<=>in(X3,X2))<=>relation_rng(X1)=X2)<=relation(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_relat_1)). 0.06/0.30 fof(t60_relat_1, conjecture, (empty_set=relation_rng(empty_set)&empty_set=relation_dom(empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t60_relat_1)). 0.06/0.30 fof(fc4_relat_1, axiom, (empty(empty_set)&relation(empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc4_relat_1)). 0.06/0.30 fof(c_0_8, plain, ![X12, X13]:ordered_pair(X12,X13)=unordered_pair(unordered_pair(X12,X13),singleton(X12)), inference(variable_rename,[status(thm)],[d5_tarski])). 0.06/0.30 fof(c_0_9, lemma, ![X299]:singleton(X299)=unordered_pair(X299,X299), inference(variable_rename,[status(thm)],[t69_enumset1])). 0.06/0.30 fof(c_0_10, plain, ![X43, X44, X46, X44, X48, X48, X50]:(((~in(esk4_2(X43,X44),X44)|~in(ordered_pair(esk4_2(X43,X44),X46),X43)|relation_dom(X43)=X44|~relation(X43))&(in(esk4_2(X43,X44),X44)|in(ordered_pair(esk4_2(X43,X44),esk5_2(X43,X44)),X43)|relation_dom(X43)=X44|~relation(X43)))&((~in(X48,X44)|in(ordered_pair(X48,esk6_3(X43,X44,X48)),X43)|relation_dom(X43)!=X44|~relation(X43))&(~in(ordered_pair(X48,X50),X43)|in(X48,X44)|relation_dom(X43)!=X44|~relation(X43)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])])])). 0.06/0.30 cnf(c_0_11, plain, (ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.06/0.30 cnf(c_0_12, lemma, (singleton(X1)=unordered_pair(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.06/0.30 fof(c_0_13, plain, ![X51, X52, X51]:((empty_set!=X51|~in(X52,X51))&(in(esk7_1(X51),X51)|empty_set=X51)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_xboole_0])])])])])])])). 0.06/0.30 cnf(c_0_14, plain, (in(ordered_pair(X1,esk6_3(X3,X2,X1)),X3)|~in(X1,X2)|relation_dom(X3)!=X2|~relation(X3)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.06/0.30 cnf(c_0_15, plain, (ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 0.06/0.30 fof(c_0_16, plain, ![X252, X253]:unordered_pair(X253,X252)=unordered_pair(X252,X253), inference(variable_rename,[status(thm)],[commutativity_k2_tarski])). 0.06/0.30 fof(c_0_17, plain, ![X327, X328, X330, X328, X332, X333, X332]:(((~in(ordered_pair(X330,esk43_2(X327,X328)),X327)|~in(esk43_2(X327,X328),X328)|relation_rng(X327)=X328|~relation(X327))&(in(ordered_pair(esk44_2(X327,X328),esk43_2(X327,X328)),X327)|in(esk43_2(X327,X328),X328)|relation_rng(X327)=X328|~relation(X327)))&((~in(ordered_pair(X333,X332),X327)|in(X332,X328)|relation_rng(X327)!=X328|~relation(X327))&(~in(X332,X328)|in(ordered_pair(esk45_3(X327,X328,X332),X332),X327)|relation_rng(X327)!=X328|~relation(X327)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d5_relat_1])])])])])])])])). 0.06/0.30 cnf(c_0_18, plain, (empty_set!=X1|~in(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.06/0.30 cnf(c_0_19, plain, (in(unordered_pair(unordered_pair(X1,esk6_3(X3,X2,X1)),unordered_pair(X1,X1)),X3)|relation_dom(X3)!=X2|~relation(X3)|~in(X1,X2)), inference(rw,[status(thm)],[c_0_14, c_0_15])). 0.06/0.30 cnf(c_0_20, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.06/0.30 cnf(c_0_21, plain, (in(ordered_pair(esk45_3(X3,X2,X1),X1),X3)|~in(X1,X2)|relation_rng(X3)!=X2|~relation(X3)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.06/0.31 fof(c_0_22, negated_conjecture, ~((empty_set=relation_rng(empty_set)&empty_set=relation_dom(empty_set))), inference(assume_negation,[status(cth)],[t60_relat_1])). 0.06/0.31 cnf(c_0_23, plain, (~in(X1,empty_set)), inference(er,[status(thm)],[c_0_18])). 0.06/0.31 cnf(c_0_24, plain, (in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk6_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])). 0.06/0.31 cnf(c_0_25, plain, (relation(empty_set)), inference(split_conjunct,[status(thm)],[fc4_relat_1])). 0.06/0.31 cnf(c_0_26, plain, (in(unordered_pair(unordered_pair(esk45_3(X3,X2,X1),X1),unordered_pair(esk45_3(X3,X2,X1),esk45_3(X3,X2,X1))),X3)|relation_rng(X3)!=X2|~relation(X3)|~in(X1,X2)), inference(rw,[status(thm)],[c_0_21, c_0_15])). 0.06/0.31 fof(c_0_27, negated_conjecture, (empty_set!=relation_rng(empty_set)|empty_set!=relation_dom(empty_set)), inference(fof_nnf,[status(thm)],[c_0_22])). 0.06/0.31 cnf(c_0_28, plain, (~in(X1,relation_dom(empty_set))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])])). 0.06/0.31 cnf(c_0_29, plain, (in(esk7_1(X1),X1)|empty_set=X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.06/0.31 cnf(c_0_30, plain, (in(unordered_pair(unordered_pair(X1,esk45_3(X2,relation_rng(X2),X1)),unordered_pair(esk45_3(X2,relation_rng(X2),X1),esk45_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_20])])). 0.06/0.31 cnf(c_0_31, negated_conjecture, (empty_set!=relation_rng(empty_set)|empty_set!=relation_dom(empty_set)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.06/0.31 cnf(c_0_32, plain, (relation_dom(empty_set)=empty_set), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.06/0.31 cnf(c_0_33, plain, (~in(X1,relation_rng(empty_set))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_30]), c_0_25])])). 0.06/0.31 cnf(c_0_34, negated_conjecture, (relation_rng(empty_set)!=empty_set), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])). 0.06/0.31 cnf(c_0_35, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_29]), c_0_34]), ['proof']). 0.06/0.31 # SZS output end CNFRefutation 0.06/0.31 # Proof object total steps : 36 0.06/0.31 # Proof object clause steps : 20 0.06/0.31 # Proof object formula steps : 16 0.06/0.31 # Proof object conjectures : 5 0.06/0.31 # Proof object clause conjectures : 2 0.06/0.31 # Proof object formula conjectures : 3 0.06/0.31 # Proof object initial clauses used : 9 0.06/0.31 # Proof object initial formulas used : 8 0.06/0.31 # Proof object generating inferences : 4 0.06/0.31 # Proof object simplifying inferences : 15 0.06/0.31 # Training examples: 0 positive, 0 negative 0.06/0.31 # Parsed axioms : 167 0.06/0.31 # Removed by relevancy pruning/SinE : 0 0.06/0.31 # Initial clauses : 284 0.06/0.31 # Removed in clause preprocessing : 19 0.06/0.31 # Initial clauses in saturation : 265 0.06/0.31 # Processed clauses : 563 0.06/0.31 # ...of these trivial : 6 0.06/0.31 # ...subsumed : 29 0.06/0.31 # ...remaining for further processing : 528 0.06/0.31 # Other redundant clauses eliminated : 90 0.06/0.31 # Clauses deleted for lack of memory : 0 0.06/0.31 # Backward-subsumed : 0 0.06/0.31 # Backward-rewritten : 8 0.06/0.31 # Generated clauses : 3044 0.06/0.31 # ...of the previous two non-trivial : 2824 0.06/0.31 # Contextual simplify-reflections : 9 0.06/0.31 # Paramodulations : 2941 0.06/0.31 # Factorizations : 14 0.06/0.31 # Equation resolutions : 95 0.06/0.31 # Propositional unsat checks : 0 0.06/0.31 # Propositional check models : 0 0.06/0.31 # Propositional check unsatisfiable : 0 0.06/0.31 # Propositional clauses : 0 0.06/0.31 # Propositional clauses after purity: 0 0.06/0.31 # Propositional unsat core size : 0 0.06/0.31 # Current number of processed clauses : 240 0.06/0.31 # Positive orientable unit clauses : 31 0.06/0.31 # Positive unorientable unit clauses: 3 0.06/0.31 # Negative unit clauses : 12 0.06/0.31 # Non-unit-clauses : 194 0.06/0.31 # Current number of unprocessed clauses: 2670 0.06/0.31 # ...number of literals in the above : 10307 0.06/0.31 # Current number of archived formulas : 0 0.06/0.31 # Current number of archived clauses : 245 0.06/0.31 # Clause-clause subsumption calls (NU) : 24269 0.06/0.31 # Rec. Clause-clause subsumption calls : 12751 0.06/0.31 # Non-unit clause-clause subsumptions : 27 0.06/0.31 # Unit Clause-clause subsumption calls : 1482 0.06/0.31 # Rewrite failures with RHS unbound : 0 0.06/0.31 # BW rewrite match attempts : 71 0.06/0.31 # BW rewrite match successes : 54 0.06/0.31 # Condensation attempts : 0 0.06/0.31 # Condensation successes : 0 0.06/0.31 # Termbank termtop insertions : 61746 0.06/0.31 0.06/0.31 # ------------------------------------------------- 0.06/0.31 # User time : 0.067 s 0.06/0.31 # System time : 0.005 s 0.06/0.31 # Total time : 0.072 s 0.06/0.31 # Maximum resident set size: 1664 pages 0.06/0.31 EOF