0.04/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.10 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.09/0.29 % Computer : n007.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1920 0.09/0.29 % WCLimit : 240 0.09/0.29 % DateTime : Wed Jul 30 04:14:04 EDT 2025 0.09/0.30 % CPUTime : 0.15/0.41 Running higher-order theorem proving 0.15/0.41 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.vsb9laGy8b/E---3.1_32279.p 0.15/0.42 # Version: 3.0.0-ho 0.15/0.42 # Preprocessing class: HSSSSMSSSSSNSSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.42 # Starting ehoh_best_nonlift_nonlambdatoforall with 1200s (5) cores 0.15/0.42 # Starting post_as_ho10 with 240s (1) cores 0.15/0.42 # Starting new_bool_9 with 240s (1) cores 0.15/0.42 # Starting sh5l with 240s (1) cores 0.15/0.42 # new_bool_9 with pid 32359 completed with status 0 0.15/0.42 # Result found by new_bool_9 0.15/0.42 # Preprocessing class: HSSSSMSSSSSNSSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.42 # Starting ehoh_best_nonlift_nonlambdatoforall with 1200s (5) cores 0.15/0.42 # Starting post_as_ho10 with 240s (1) cores 0.15/0.42 # Starting new_bool_9 with 240s (1) cores 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.15/0.42 # Search class: HUUPF-FFSF11-MSSFFFNN 0.15/0.42 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.15/0.42 # Starting new_ho_10 with 145s (1) cores 0.15/0.42 # new_ho_10 with pid 32362 completed with status 0 0.15/0.42 # Result found by new_ho_10 0.15/0.42 # Preprocessing class: HSSSSMSSSSSNSSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.42 # Starting ehoh_best_nonlift_nonlambdatoforall with 1200s (5) cores 0.15/0.42 # Starting post_as_ho10 with 240s (1) cores 0.15/0.42 # Starting new_bool_9 with 240s (1) cores 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.15/0.42 # Search class: HUUPF-FFSF11-MSSFFFNN 0.15/0.42 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.15/0.42 # Starting new_ho_10 with 145s (1) cores 0.15/0.42 # Preprocessing time : 0.001 s 0.15/0.42 # Presaturation interreduction done 0.15/0.42 0.15/0.42 # Proof found! 0.15/0.42 # SZS status Theorem 0.15/0.42 # SZS output start CNFRefutation 0.15/0.42 thf(decl_23, type, f: $i > $i). 0.15/0.42 thf(decl_24, type, esk1_1: ($i > $i) > $i). 0.15/0.42 thf(decl_25, type, esk2_1: $i > $i). 0.15/0.42 thf(invexists, conjecture, ?[X1:$i > $i]:(![X2:$i]:(((f @ (X1 @ X2))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.vsb9laGy8b/E---3.1_32279.p', invexists)). 0.15/0.42 thf(fsurj, axiom, ![X3:$i]:(?[X2:$i]:(((f @ X2)=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.vsb9laGy8b/E---3.1_32279.p', fsurj)). 0.15/0.42 thf(c_0_2, negated_conjecture, ~(?[X1:$i > $i]:(![X2:$i]:(((f @ (X1 @ X2))=(X2))))), inference(assume_negation,[status(cth)],[invexists])). 0.15/0.42 thf(c_0_3, negated_conjecture, ![X8:$i > $i]:(((f @ (X8 @ (esk1_1 @ X8)))!=(esk1_1 @ X8))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])). 0.15/0.42 thf(c_0_4, plain, ![X10:$i]:(((f @ (esk2_1 @ X10))=(X10))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fsurj])])). 0.15/0.42 thf(c_0_5, negated_conjecture, ![X1:$i > $i]:(((f @ (X1 @ (esk1_1 @ X1)))!=(esk1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.15/0.42 thf(c_0_6, plain, ![X2:$i]:(((f @ (esk2_1 @ X2))=(X2))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.15/0.42 thf(c_0_7, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_5, c_0_6]), ['proof']). 0.15/0.42 # SZS output end CNFRefutation 0.15/0.42 # Parsed axioms : 3 0.15/0.42 # Removed by relevancy pruning/SinE : 1 0.15/0.42 # Initial clauses : 2 0.15/0.42 # Removed in clause preprocessing : 0 0.15/0.42 # Initial clauses in saturation : 2 0.15/0.42 # Processed clauses : 4 0.15/0.42 # ...of these trivial : 0 0.15/0.42 # ...subsumed : 0 0.15/0.42 # ...remaining for further processing : 4 0.15/0.42 # Other redundant clauses eliminated : 0 0.15/0.42 # Clauses deleted for lack of memory : 0 0.15/0.42 # Backward-subsumed : 0 0.15/0.42 # Backward-rewritten : 0 0.15/0.42 # Generated clauses : 1 0.15/0.42 # ...of the previous two non-redundant : 0 0.15/0.42 # ...aggressively subsumed : 0 0.15/0.42 # Contextual simplify-reflections : 0 0.15/0.42 # Paramodulations : 1 0.15/0.42 # Factorizations : 0 0.15/0.42 # NegExts : 0 0.15/0.42 # Equation resolutions : 0 0.15/0.42 # Disequality decompositions : 0 0.15/0.42 # Total rewrite steps : 0 0.15/0.42 # ...of those cached : 0 0.15/0.42 # Propositional unsat checks : 0 0.15/0.42 # Propositional check models : 0 0.15/0.42 # Propositional check unsatisfiable : 0 0.15/0.42 # Propositional clauses : 0 0.15/0.42 # Propositional clauses after purity: 0 0.15/0.42 # Propositional unsat core size : 0 0.15/0.42 # Propositional preprocessing time : 0.000 0.15/0.42 # Propositional encoding time : 0.000 0.15/0.42 # Propositional solver time : 0.000 0.15/0.42 # Success case prop preproc time : 0.000 0.15/0.42 # Success case prop encoding time : 0.000 0.15/0.42 # Success case prop solver time : 0.000 0.15/0.42 # Current number of processed clauses : 2 0.15/0.42 # Positive orientable unit clauses : 1 0.15/0.42 # Positive unorientable unit clauses: 0 0.15/0.42 # Negative unit clauses : 1 0.15/0.42 # Non-unit-clauses : 0 0.15/0.42 # Current number of unprocessed clauses: 0 0.15/0.42 # ...number of literals in the above : 0 0.15/0.42 # Current number of archived formulas : 0 0.15/0.42 # Current number of archived clauses : 2 0.15/0.42 # Clause-clause subsumption calls (NU) : 0 0.15/0.42 # Rec. Clause-clause subsumption calls : 0 0.15/0.42 # Non-unit clause-clause subsumptions : 0 0.15/0.42 # Unit Clause-clause subsumption calls : 0 0.15/0.42 # Rewrite failures with RHS unbound : 0 0.15/0.42 # BW rewrite match attempts : 0 0.15/0.42 # BW rewrite match successes : 0 0.15/0.42 # Condensation attempts : 4 0.15/0.42 # Condensation successes : 0 0.15/0.42 # Termbank termtop insertions : 123 0.15/0.42 # Search garbage collected termcells : 32 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.002 s 0.15/0.42 # System time : 0.001 s 0.15/0.42 # Total time : 0.003 s 0.15/0.42 # Maximum resident set size: 1804 pages 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.002 s 0.15/0.42 # System time : 0.003 s 0.15/0.42 # Total time : 0.006 s 0.15/0.42 # Maximum resident set size: 1724 pages 0.15/0.42 % E exiting 0.15/0.42 % E exiting 0.15/0.42 EOF