0.00/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.13 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.33 % Computer : n026.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 1920 0.10/0.33 % WCLimit : 240 0.10/0.33 % DateTime : Wed Jul 30 06:49:04 EDT 2025 0.10/0.33 % CPUTime : 0.16/0.46 Running higher-order theorem proving 0.16/0.49 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.ShkNi8pAAP/E---3.1_7498.p 21.96/3.33 # Version: 3.0.0-ho 21.96/3.33 # Preprocessing class: HSLSSMSSSSSNHSA. 21.96/3.33 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 21.96/3.33 # Starting full_lambda_9 with 1200s (5) cores 21.96/3.33 # Starting new_ho_11 with 240s (1) cores 21.96/3.33 # Starting sh2l with 240s (1) cores 21.96/3.33 # Starting new_bool_6 with 240s (1) cores 21.96/3.33 # full_lambda_9 with pid 7577 completed with status 0 21.96/3.33 # Result found by full_lambda_9 21.96/3.33 # Preprocessing class: HSLSSMSSSSSNHSA. 21.96/3.33 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 21.96/3.33 # Starting full_lambda_9 with 1200s (5) cores 21.96/3.33 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 21.96/3.33 # Search class: HGUSM-FFLS32-MHSFFFNN 21.96/3.33 # partial match(2): HGUSM-FSLM32-MHSFFFNN 21.96/3.33 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 21.96/3.33 # Starting new_ho_10 with 649s (1) cores 21.96/3.33 # Starting full_lambda_9 with 121s (1) cores 21.96/3.33 # Starting ehoh_best_sine_rwall with 109s (1) cores 21.96/3.33 # Starting lpo1_def_fix with 109s (1) cores 21.96/3.33 # Starting ehoh_best8_lambda with 109s (1) cores 21.96/3.33 # new_ho_10 with pid 7582 completed with status 0 21.96/3.33 # Result found by new_ho_10 21.96/3.33 # Preprocessing class: HSLSSMSSSSSNHSA. 21.96/3.33 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 21.96/3.33 # Starting full_lambda_9 with 1200s (5) cores 21.96/3.33 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 21.96/3.33 # Search class: HGUSM-FFLS32-MHSFFFNN 21.96/3.33 # partial match(2): HGUSM-FSLM32-MHSFFFNN 21.96/3.33 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 21.96/3.33 # Starting new_ho_10 with 649s (1) cores 21.96/3.33 # Preprocessing time : 0.002 s 21.96/3.33 # Presaturation interreduction done 21.96/3.33 21.96/3.33 # Proof found! 21.96/3.33 # SZS status Theorem 21.96/3.33 # SZS output start CNFRefutation 21.96/3.33 thf(decl_sort1, type, a: $tType). 21.96/3.33 thf(decl_34, type, modula17988509_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 21.96/3.33 thf(decl_35, type, modula1373251614_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 21.96/3.33 thf(decl_37, type, modula1936294176_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 21.96/3.33 thf(decl_38, type, modula1144073633_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 21.96/3.33 thf(decl_53, type, a2: a). 21.96/3.33 thf(decl_54, type, b: a). 21.96/3.33 thf(decl_55, type, c: a). 21.96/3.33 thf(decl_56, type, inf: a > a > a). 21.96/3.33 thf(decl_57, type, less_eq: a > a > $o). 21.96/3.33 thf(decl_58, type, sup: a > a > a). 21.96/3.33 thf(fact_135_a__join__b__eq__e, axiom, ![X2:a, X3:a, X4:a]:((((sup @ (modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X3 @ X4))=(modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))<=(less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_135_a__join__b__eq__e)). 21.96/3.33 thf(fact_132_local_Ob__a, axiom, ![X2:a, X3:a, X4:a]:(((modula1373251614_aux_a @ inf @ sup @ X2 @ X3 @ X4)=(modula17988509_aux_a @ inf @ sup @ X3 @ X4 @ X2))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_132_local_Ob__a)). 21.96/3.33 thf(fact_35_local_Oinf_OorderE, axiom, ![X2:a, X3:a]:(((less_eq @ X2 @ X3)=>((X2)=(inf @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_35_local_Oinf_OorderE)). 21.96/3.33 thf(conj_1, conjecture, ((sup @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b) @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c))=(modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', conj_1)). 21.96/3.33 thf(fact_93_local_Oe__b__c__a, axiom, ![X3:a, X4:a, X2:a]:(((modula1144073633_aux_a @ inf @ sup @ X3 @ X4 @ X2)=(modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_93_local_Oe__b__c__a)). 21.96/3.33 thf(fact_119_local_Ole__inf__iff, axiom, ![X12:a, X8:a, X9:a]:(((less_eq @ X12 @ (inf @ X8 @ X9))<=>((less_eq @ X12 @ X9)&(less_eq @ X12 @ X8)))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_119_local_Ole__inf__iff)). 21.96/3.33 thf(conj_0, hypothesis, (less_eq @ (modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c) @ (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', conj_0)). 21.96/3.33 thf(fact_23_local_Osup__commute, axiom, ![X26:a, X8:a]:(((sup @ X26 @ X8)=(sup @ X8 @ X26))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_23_local_Osup__commute)). 21.96/3.33 thf(fact_87_local_Od__b__c__a, axiom, ![X3:a, X4:a, X2:a]:(((modula1936294176_aux_a @ inf @ sup @ X3 @ X4 @ X2)=(modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4))), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_87_local_Od__b__c__a)). 21.96/3.33 thf(fact_100_local_Oorder__refl, axiom, ![X53:a]:((less_eq @ X53 @ X53)), file('/export/starexec/sandbox/tmp/tmp.ShkNi8pAAP/E---3.1_7498.p', fact_100_local_Oorder__refl)). 21.96/3.33 thf(c_0_10, plain, ![X2:a, X3:a, X4:a]:(((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))=>((sup @ (modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X3 @ X4))=(modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4)))), inference(fof_simplification,[status(thm)],[fact_135_a__join__b__eq__e])). 21.96/3.33 thf(c_0_11, plain, ![X477:a, X478:a, X479:a]:((~(less_eq @ (modula1936294176_aux_a @ inf @ sup @ X477 @ X478 @ X479) @ (modula1144073633_aux_a @ inf @ sup @ X477 @ X478 @ X479))|((sup @ (modula17988509_aux_a @ inf @ sup @ X477 @ X478 @ X479) @ (modula1373251614_aux_a @ inf @ sup @ X477 @ X478 @ X479))=(modula1144073633_aux_a @ inf @ sup @ X477 @ X478 @ X479)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])). 21.96/3.33 thf(c_0_12, plain, ![X754:a, X755:a, X756:a]:(((modula1373251614_aux_a @ inf @ sup @ X754 @ X755 @ X756)=(modula17988509_aux_a @ inf @ sup @ X755 @ X756 @ X754))), inference(variable_rename,[status(thm)],[fact_132_local_Ob__a])). 21.96/3.33 thf(c_0_13, plain, ![X686:a, X687:a]:((~(less_eq @ X686 @ X687)|((X686)=(inf @ X686 @ X687)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_35_local_Oinf_OorderE])])])). 21.96/3.33 thf(c_0_14, negated_conjecture, ((sup @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b) @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c))!=(modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 21.96/3.33 thf(c_0_15, plain, ![X2:a, X3:a, X4:a]:((((sup @ (modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X3 @ X4))=(modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))|~((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_11])). 21.96/3.33 thf(c_0_16, plain, ![X4:a, X3:a, X2:a]:(((modula1373251614_aux_a @ inf @ sup @ X2 @ X3 @ X4)=(modula17988509_aux_a @ inf @ sup @ X3 @ X4 @ X2))), inference(split_conjunct,[status(thm)],[c_0_12])). 21.96/3.33 thf(c_0_17, plain, ![X507:a, X508:a, X509:a]:(((modula1144073633_aux_a @ inf @ sup @ X507 @ X508 @ X509)=(modula1144073633_aux_a @ inf @ sup @ X509 @ X507 @ X508))), inference(variable_rename,[status(thm)],[fact_93_local_Oe__b__c__a])). 21.96/3.33 thf(c_0_18, plain, ![X653:a, X654:a, X655:a]:(((((less_eq @ X653 @ X655)|~(less_eq @ X653 @ (inf @ X654 @ X655)))&((less_eq @ X653 @ X654)|~(less_eq @ X653 @ (inf @ X654 @ X655))))&(~(less_eq @ X653 @ X655)|~(less_eq @ X653 @ X654)|(less_eq @ X653 @ (inf @ X654 @ X655))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_119_local_Ole__inf__iff])])])])). 21.96/3.33 thf(c_0_19, plain, ![X2:a, X3:a]:((((X2)=(inf @ X2 @ X3))|~((less_eq @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_13])). 21.96/3.33 thf(c_0_20, hypothesis, (less_eq @ (modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c) @ (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), inference(split_conjunct,[status(thm)],[conj_0])). 21.96/3.33 thf(c_0_21, negated_conjecture, ((sup @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b) @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c))!=(modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), inference(fof_nnf,[status(thm)],[c_0_14])). 21.96/3.33 thf(c_0_22, plain, ![X535:a, X536:a]:(((sup @ X535 @ X536)=(sup @ X536 @ X535))), inference(variable_rename,[status(thm)],[fact_23_local_Osup__commute])). 21.96/3.33 thf(c_0_23, plain, ![X2:a, X3:a, X4:a]:((((sup @ (modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula17988509_aux_a @ inf @ sup @ X3 @ X4 @ X2))=(modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))|~((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4))))), inference(rw,[status(thm)],[c_0_15, c_0_16])). 21.96/3.33 thf(c_0_24, plain, ![X2:a, X4:a, X3:a]:(((modula1144073633_aux_a @ inf @ sup @ X2 @ X3 @ X4)=(modula1144073633_aux_a @ inf @ sup @ X4 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_17])). 21.96/3.33 thf(c_0_25, plain, ![X2:a, X4:a, X3:a]:(((less_eq @ X2 @ X3)|~((less_eq @ X2 @ (inf @ X4 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_18])). 21.96/3.33 thf(c_0_26, hypothesis, ((inf @ (modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c) @ (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))=(modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 21.96/3.33 thf(c_0_27, plain, ![X796:a, X797:a, X798:a]:(((modula1936294176_aux_a @ inf @ sup @ X796 @ X797 @ X798)=(modula1936294176_aux_a @ inf @ sup @ X798 @ X796 @ X797))), inference(variable_rename,[status(thm)],[fact_87_local_Od__b__c__a])). 21.96/3.33 thf(c_0_28, plain, ![X762:a]:((less_eq @ X762 @ X762)), inference(variable_rename,[status(thm)],[fact_100_local_Oorder__refl])). 21.96/3.33 thf(c_0_29, negated_conjecture, ((sup @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b) @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c))!=(modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), inference(split_conjunct,[status(thm)],[c_0_21])). 21.96/3.33 thf(c_0_30, plain, ![X3:a, X2:a]:(((sup @ X2 @ X3)=(sup @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_22])). 21.96/3.33 thf(c_0_31, plain, ![X4:a, X3:a, X2:a]:((((sup @ (modula17988509_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula17988509_aux_a @ inf @ sup @ X3 @ X4 @ X2))=(modula1144073633_aux_a @ inf @ sup @ X3 @ X4 @ X2))|~((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4) @ (modula1144073633_aux_a @ inf @ sup @ X3 @ X4 @ X2))))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 21.96/3.33 thf(c_0_32, hypothesis, ![X2:a]:(((less_eq @ X2 @ (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))|~((less_eq @ X2 @ (modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c))))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 21.96/3.33 thf(c_0_33, plain, ![X2:a, X4:a, X3:a]:(((modula1936294176_aux_a @ inf @ sup @ X2 @ X3 @ X4)=(modula1936294176_aux_a @ inf @ sup @ X4 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_27])). 21.96/3.33 thf(c_0_34, plain, ![X2:a]:((less_eq @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_28])). 21.96/3.33 thf(c_0_35, negated_conjecture, ((sup @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c) @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b))!=(modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)), inference(rw,[status(thm)],[c_0_29, c_0_30])). 21.96/3.33 thf(c_0_36, hypothesis, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_30]), c_0_33]), c_0_33]), c_0_34])]), c_0_35]), ['proof']). 21.96/3.33 # SZS output end CNFRefutation 21.96/3.33 # Parsed axioms : 294 21.96/3.33 # Removed by relevancy pruning/SinE : 160 21.96/3.33 # Initial clauses : 159 21.96/3.33 # Removed in clause preprocessing : 8 21.96/3.33 # Initial clauses in saturation : 151 21.96/3.33 # Processed clauses : 1904 21.96/3.33 # ...of these trivial : 300 21.96/3.33 # ...subsumed : 690 21.96/3.33 # ...remaining for further processing : 914 21.96/3.33 # Other redundant clauses eliminated : 195 21.96/3.33 # Clauses deleted for lack of memory : 0 21.96/3.33 # Backward-subsumed : 8 21.96/3.33 # Backward-rewritten : 16 21.96/3.33 # Generated clauses : 129460 21.96/3.33 # ...of the previous two non-redundant : 116060 21.96/3.33 # ...aggressively subsumed : 0 21.96/3.33 # Contextual simplify-reflections : 9 21.96/3.33 # Paramodulations : 129167 21.96/3.33 # Factorizations : 0 21.96/3.33 # NegExts : 0 21.96/3.33 # Equation resolutions : 195 21.96/3.33 # Disequality decompositions : 0 21.96/3.33 # Total rewrite steps : 68453 21.96/3.33 # ...of those cached : 52940 21.96/3.33 # Propositional unsat checks : 0 21.96/3.33 # Propositional check models : 0 21.96/3.33 # Propositional check unsatisfiable : 0 21.96/3.33 # Propositional clauses : 0 21.96/3.33 # Propositional clauses after purity: 0 21.96/3.33 # Propositional unsat core size : 0 21.96/3.33 # Propositional preprocessing time : 0.000 21.96/3.33 # Propositional encoding time : 0.000 21.96/3.33 # Propositional solver time : 0.000 21.96/3.33 # Success case prop preproc time : 0.000 21.96/3.33 # Success case prop encoding time : 0.000 21.96/3.33 # Success case prop solver time : 0.000 21.96/3.33 # Current number of processed clauses : 804 21.96/3.33 # Positive orientable unit clauses : 269 21.96/3.33 # Positive unorientable unit clauses: 8 21.96/3.33 # Negative unit clauses : 1 21.96/3.33 # Non-unit-clauses : 526 21.96/3.33 # Current number of unprocessed clauses: 114364 21.96/3.33 # ...number of literals in the above : 254895 21.96/3.33 # Current number of archived formulas : 0 21.96/3.33 # Current number of archived clauses : 109 21.96/3.33 # Clause-clause subsumption calls (NU) : 47163 21.96/3.33 # Rec. Clause-clause subsumption calls : 34622 21.96/3.33 # Non-unit clause-clause subsumptions : 622 21.96/3.33 # Unit Clause-clause subsumption calls : 489 21.96/3.33 # Rewrite failures with RHS unbound : 0 21.96/3.33 # BW rewrite match attempts : 1060 21.96/3.33 # BW rewrite match successes : 169 21.96/3.33 # Condensation attempts : 1904 21.96/3.33 # Condensation successes : 0 21.96/3.33 # Termbank termtop insertions : 1984564 21.96/3.33 # Search garbage collected termcells : 3480 21.96/3.33 21.96/3.33 # ------------------------------------------------- 21.96/3.33 # User time : 2.691 s 21.96/3.33 # System time : 0.072 s 21.96/3.33 # Total time : 2.763 s 21.96/3.33 # Maximum resident set size: 2868 pages 21.96/3.33 21.96/3.33 # ------------------------------------------------- 21.96/3.33 # User time : 13.320 s 21.96/3.33 # System time : 0.307 s 21.96/3.33 # Total time : 13.626 s 21.96/3.33 # Maximum resident set size: 2124 pages 21.96/3.33 % E exiting 21.96/3.33 % E exiting 21.96/3.33 EOF