0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n004.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:21:34 EDT 2025 0.12/0.32 % CPUTime : 0.20/0.46 Running higher-order theorem proving 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.DYzySFfghR/E---3.1_22392.p 0.20/0.49 # Version: 3.0.0-ho 0.20/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.20/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.49 # Starting post_as_ho12 with 240s (1) cores 0.20/0.49 # Starting new_bool_9 with 240s (1) cores 0.20/0.49 # Starting post_as_ho1 with 240s (1) cores 0.20/0.49 # Starting post_as_ho4 with 240s (1) cores 0.20/0.49 # Starting post_as_ho2 with 240s (1) cores 0.20/0.49 # Starting ehoh_best2_full_lfho with 240s (1) cores 0.20/0.49 # Starting full_lambda_10 with 240s (1) cores 0.20/0.49 # Starting new_ho_8 with 240s (1) cores 0.20/0.49 # post_as_ho1 with pid 22472 completed with status 0 0.20/0.49 # Result found by post_as_ho1 0.20/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.20/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.49 # Starting post_as_ho12 with 240s (1) cores 0.20/0.49 # Starting new_bool_9 with 240s (1) cores 0.20/0.49 # Starting post_as_ho1 with 240s (1) cores 0.20/0.49 # No SInE strategy applied 0.20/0.49 # Search class: HGHNS-FFSF11-SSSFFFNN 0.20/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.49 # Starting new_ho_10 with 130s (1) cores 0.20/0.49 # new_ho_10 with pid 22478 completed with status 0 0.20/0.49 # Result found by new_ho_10 0.20/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.20/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.49 # Starting post_as_ho12 with 240s (1) cores 0.20/0.49 # Starting new_bool_9 with 240s (1) cores 0.20/0.49 # Starting post_as_ho1 with 240s (1) cores 0.20/0.49 # No SInE strategy applied 0.20/0.49 # Search class: HGHNS-FFSF11-SSSFFFNN 0.20/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.49 # Starting new_ho_10 with 130s (1) cores 0.20/0.49 # Preprocessing time : 0.001 s 0.20/0.49 # Presaturation interreduction done 0.20/0.49 0.20/0.49 # Proof found! 0.20/0.49 # SZS status Theorem 0.20/0.49 # SZS output start CNFRefutation 0.20/0.49 thf(decl_sort1, type, a: $tType). 0.20/0.49 thf(decl_23, type, cQ: a > a > $o). 0.20/0.49 thf(decl_24, type, epred1_1: a > a > $o). 0.20/0.49 thf(decl_25, type, esk1_1: a > a). 0.20/0.49 thf(decl_26, type, esk2_0: a). 0.20/0.49 thf(decl_27, type, esk3_0: a). 0.20/0.49 thf(decl_28, type, esk4_0: a). 0.20/0.49 thf(decl_29, type, esk5_0: a). 0.20/0.49 thf(decl_30, type, esk6_0: a). 0.20/0.49 thf(decl_31, type, esk7_0: a). 0.20/0.49 thf(cTHM559_pme, conjecture, (((![X1:a]:((cQ @ X1 @ X1))&![X1:a, X2:a, X3:a]:(((cQ @ X1 @ X3)<=((cQ @ X2 @ X3)&(cQ @ X1 @ X2)))))&![X1:a, X2:a]:(((cQ @ X2 @ X1)<=(cQ @ X1 @ X2))))<=![X1:a]:(?[X4:a > $o]:(((?[X3:a]:((X4 @ X3))&![X5:a]:(((X4 @ X5)=>![X2:a]:(((cQ @ X5 @ X2)<=>(X4 @ X2))))))&(X4 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.DYzySFfghR/E---3.1_22392.p', cTHM559_pme)). 0.20/0.49 thf(c_0_1, negated_conjecture, ~((![X1:a]:(?[X4:a > $o]:(((?[X3:a]:((X4 @ X3))&![X5:a]:(((X4 @ X5)=>![X2:a]:(((cQ @ X5 @ X2)<=>(X4 @ X2))))))&(X4 @ X1))))=>((![X1:a]:((cQ @ X1 @ X1))&![X1:a, X2:a, X3:a]:((((cQ @ X2 @ X3)&(cQ @ X1 @ X2))=>(cQ @ X1 @ X3))))&![X1:a, X2:a]:(((cQ @ X1 @ X2)=>(cQ @ X2 @ X1)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM559_pme])])). 0.20/0.49 thf(c_0_2, negated_conjecture, ![X17:a, X20:a, X21:a, X22:a]:(((((epred1_1 @ X17 @ (esk1_1 @ X17))&((~(cQ @ X20 @ X21)|(epred1_1 @ X17 @ X21)|~(epred1_1 @ X17 @ X20))&(~(epred1_1 @ X17 @ X22)|(cQ @ X20 @ X22)|~(epred1_1 @ X17 @ X20))))&(epred1_1 @ X17 @ X17))&(((((cQ @ esk6_0 @ esk7_0)|((cQ @ esk4_0 @ esk5_0)|~(cQ @ esk2_0 @ esk2_0)))&(~(cQ @ esk7_0 @ esk6_0)|((cQ @ esk4_0 @ esk5_0)|~(cQ @ esk2_0 @ esk2_0))))&(((cQ @ esk6_0 @ esk7_0)|((cQ @ esk3_0 @ esk4_0)|~(cQ @ esk2_0 @ esk2_0)))&(~(cQ @ esk7_0 @ esk6_0)|((cQ @ esk3_0 @ esk4_0)|~(cQ @ esk2_0 @ esk2_0)))))&(((cQ @ esk6_0 @ esk7_0)|(~(cQ @ esk3_0 @ esk5_0)|~(cQ @ esk2_0 @ esk2_0)))&(~(cQ @ esk7_0 @ esk6_0)|(~(cQ @ esk3_0 @ esk5_0)|~(cQ @ esk2_0 @ esk2_0))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_1])])])])])])])). 0.20/0.49 thf(c_0_3, negated_conjecture, ![X1:a, X2:a, X3:a]:(((cQ @ X3 @ X2)|~((epred1_1 @ X1 @ X2))|~((epred1_1 @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_4, negated_conjecture, ![X1:a]:((epred1_1 @ X1 @ X1)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_5, negated_conjecture, ![X1:a, X2:a]:(((cQ @ X1 @ X2)|~((epred1_1 @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_3, c_0_4])). 0.20/0.49 thf(c_0_6, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|(cQ @ esk4_0 @ esk5_0)|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_7, negated_conjecture, ![X1:a]:((cQ @ X1 @ X1)), inference(spm,[status(thm)],[c_0_5, c_0_4])). 0.20/0.49 thf(c_0_8, negated_conjecture, ![X3:a, X2:a, X1:a]:(((epred1_1 @ X3 @ X2)|~((cQ @ X1 @ X2))|~((epred1_1 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_9, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|(cQ @ esk4_0 @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])). 0.20/0.49 thf(c_0_10, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|(cQ @ esk3_0 @ esk4_0)|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_11, negated_conjecture, ![X1:a]:(((cQ @ esk6_0 @ esk7_0)|(epred1_1 @ X1 @ esk5_0)|~((epred1_1 @ X1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.20/0.49 thf(c_0_12, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|(cQ @ esk3_0 @ esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_7])])). 0.20/0.49 thf(c_0_13, negated_conjecture, ![X1:a]:(((cQ @ esk6_0 @ esk7_0)|(cQ @ X1 @ esk5_0)|~((epred1_1 @ X1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_5, c_0_11])). 0.20/0.49 thf(c_0_14, negated_conjecture, ![X1:a]:(((cQ @ esk6_0 @ esk7_0)|(epred1_1 @ X1 @ esk4_0)|~((epred1_1 @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_8, c_0_12])). 0.20/0.49 thf(c_0_15, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|~((cQ @ esk3_0 @ esk5_0))|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_16, negated_conjecture, ((cQ @ esk4_0 @ esk5_0)|~((cQ @ esk7_0 @ esk6_0))|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_17, negated_conjecture, ![X1:a]:(((cQ @ esk6_0 @ esk7_0)|(cQ @ X1 @ esk5_0)|~((epred1_1 @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.20/0.49 thf(c_0_18, negated_conjecture, ((cQ @ esk6_0 @ esk7_0)|~((cQ @ esk3_0 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_7])])). 0.20/0.49 thf(c_0_19, negated_conjecture, ((cQ @ esk4_0 @ esk5_0)|~((cQ @ esk7_0 @ esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_7])])). 0.20/0.49 thf(c_0_20, negated_conjecture, ((cQ @ esk3_0 @ esk4_0)|~((cQ @ esk7_0 @ esk6_0))|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_21, negated_conjecture, (cQ @ esk6_0 @ esk7_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_4]), c_0_18])). 0.20/0.49 thf(c_0_22, negated_conjecture, ![X1:a]:(((epred1_1 @ X1 @ esk5_0)|~((cQ @ esk7_0 @ esk6_0))|~((epred1_1 @ X1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_8, c_0_19])). 0.20/0.49 thf(c_0_23, negated_conjecture, ((cQ @ esk3_0 @ esk4_0)|~((cQ @ esk7_0 @ esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_7])])). 0.20/0.49 thf(c_0_24, negated_conjecture, ![X1:a]:(((epred1_1 @ X1 @ esk7_0)|~((epred1_1 @ X1 @ esk6_0)))), inference(spm,[status(thm)],[c_0_8, c_0_21])). 0.20/0.49 thf(c_0_25, negated_conjecture, ![X1:a]:(((cQ @ X1 @ esk5_0)|~((cQ @ esk7_0 @ esk6_0))|~((epred1_1 @ X1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_5, c_0_22])). 0.20/0.49 thf(c_0_26, negated_conjecture, ![X1:a]:(((epred1_1 @ X1 @ esk4_0)|~((cQ @ esk7_0 @ esk6_0))|~((epred1_1 @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_8, c_0_23])). 0.20/0.49 thf(c_0_27, negated_conjecture, (~((cQ @ esk7_0 @ esk6_0))|~((cQ @ esk3_0 @ esk5_0))|~((cQ @ esk2_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.49 thf(c_0_28, negated_conjecture, ![X2:a, X1:a]:(((cQ @ esk7_0 @ X1)|~((epred1_1 @ X2 @ esk6_0))|~((epred1_1 @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_3, c_0_24])). 0.20/0.49 thf(c_0_29, negated_conjecture, ![X1:a]:(((cQ @ X1 @ esk5_0)|~((cQ @ esk7_0 @ esk6_0))|~((epred1_1 @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.20/0.49 thf(c_0_30, negated_conjecture, (~((cQ @ esk3_0 @ esk5_0))|~((cQ @ esk7_0 @ esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_7])])). 0.20/0.49 thf(c_0_31, negated_conjecture, ![X1:a]:(((cQ @ esk7_0 @ X1)|~((epred1_1 @ esk6_0 @ X1)))), inference(spm,[status(thm)],[c_0_28, c_0_4])). 0.20/0.49 thf(c_0_32, negated_conjecture, ~((cQ @ esk7_0 @ esk6_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_4]), c_0_30])). 0.20/0.49 thf(c_0_33, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_4]), c_0_32]), ['proof']). 0.20/0.49 # SZS output end CNFRefutation 0.20/0.49 # Parsed axioms : 3 0.20/0.49 # Removed by relevancy pruning/SinE : 0 0.20/0.49 # Initial clauses : 12 0.20/0.49 # Removed in clause preprocessing : 2 0.20/0.49 # Initial clauses in saturation : 10 0.20/0.49 # Processed clauses : 84 0.20/0.49 # ...of these trivial : 0 0.20/0.49 # ...subsumed : 11 0.20/0.49 # ...remaining for further processing : 73 0.20/0.49 # Other redundant clauses eliminated : 0 0.20/0.49 # Clauses deleted for lack of memory : 0 0.20/0.49 # Backward-subsumed : 12 0.20/0.49 # Backward-rewritten : 18 0.20/0.49 # Generated clauses : 160 0.20/0.49 # ...of the previous two non-redundant : 152 0.20/0.49 # ...aggressively subsumed : 0 0.20/0.49 # Contextual simplify-reflections : 2 0.20/0.49 # Paramodulations : 160 0.20/0.49 # Factorizations : 0 0.20/0.49 # NegExts : 0 0.20/0.49 # Equation resolutions : 0 0.20/0.49 # Disequality decompositions : 0 0.20/0.49 # Total rewrite steps : 37 0.20/0.49 # ...of those cached : 29 0.20/0.49 # Propositional unsat checks : 0 0.20/0.49 # Propositional check models : 0 0.20/0.49 # Propositional check unsatisfiable : 0 0.20/0.49 # Propositional clauses : 0 0.20/0.49 # Propositional clauses after purity: 0 0.20/0.49 # Propositional unsat core size : 0 0.20/0.49 # Propositional preprocessing time : 0.000 0.20/0.49 # Propositional encoding time : 0.000 0.20/0.49 # Propositional solver time : 0.000 0.20/0.49 # Success case prop preproc time : 0.000 0.20/0.49 # Success case prop encoding time : 0.000 0.20/0.49 # Success case prop solver time : 0.000 0.20/0.49 # Current number of processed clauses : 33 0.20/0.49 # Positive orientable unit clauses : 5 0.20/0.49 # Positive unorientable unit clauses: 0 0.20/0.49 # Negative unit clauses : 1 0.20/0.49 # Non-unit-clauses : 27 0.20/0.49 # Current number of unprocessed clauses: 40 0.20/0.49 # ...number of literals in the above : 113 0.20/0.49 # Current number of archived formulas : 0 0.20/0.49 # Current number of archived clauses : 40 0.20/0.49 # Clause-clause subsumption calls (NU) : 535 0.20/0.49 # Rec. Clause-clause subsumption calls : 451 0.20/0.49 # Non-unit clause-clause subsumptions : 13 0.20/0.49 # Unit Clause-clause subsumption calls : 24 0.20/0.49 # Rewrite failures with RHS unbound : 0 0.20/0.49 # BW rewrite match attempts : 10 0.20/0.49 # BW rewrite match successes : 2 0.20/0.49 # Condensation attempts : 84 0.20/0.49 # Condensation successes : 0 0.20/0.49 # Termbank termtop insertions : 3102 0.20/0.49 # Search garbage collected termcells : 326 0.20/0.49 0.20/0.49 # ------------------------------------------------- 0.20/0.49 # User time : 0.007 s 0.20/0.49 # System time : 0.000 s 0.20/0.49 # Total time : 0.007 s 0.20/0.49 # Maximum resident set size: 1772 pages 0.20/0.49 0.20/0.49 # ------------------------------------------------- 0.20/0.49 # User time : 0.008 s 0.20/0.49 # System time : 0.002 s 0.20/0.49 # Total time : 0.010 s 0.20/0.49 # Maximum resident set size: 1728 pages 0.20/0.49 % E exiting 0.20/0.49 % E exiting 0.20/0.49 EOF