0.02/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 06:31:49 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.48 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.DzxNNqdXE9/E---3.1_15208.p 0.19/0.49 # Version: 3.0.0-ho 0.19/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.19/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.49 # Starting post_as_ho12 with 240s (1) cores 0.19/0.49 # Starting new_bool_9 with 240s (1) cores 0.19/0.49 # Starting post_as_ho1 with 240s (1) cores 0.19/0.49 # Starting post_as_ho4 with 240s (1) cores 0.19/0.49 # Starting post_as_ho2 with 240s (1) cores 0.19/0.49 # Starting ehoh_best2_full_lfho with 240s (1) cores 0.19/0.49 # Starting full_lambda_10 with 240s (1) cores 0.19/0.49 # Starting new_ho_8 with 240s (1) cores 0.19/0.49 # post_as_ho12 with pid 15286 completed with status 0 0.19/0.49 # Result found by post_as_ho12 0.19/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.19/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.49 # Starting post_as_ho12 with 240s (1) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HUUPF-FFSF11-SSSFFFBN 0.19/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.49 # Starting post_as_ho10 with 130s (1) cores 0.19/0.49 # post_as_ho10 with pid 15294 completed with status 0 0.19/0.49 # Result found by post_as_ho10 0.19/0.49 # Preprocessing class: HSSSSMSSSSSNSSA. 0.19/0.49 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.49 # Starting post_as_ho12 with 240s (1) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HUUPF-FFSF11-SSSFFFBN 0.19/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.49 # Starting post_as_ho10 with 130s (1) cores 0.19/0.49 # Preprocessing time : 0.001 s 0.19/0.49 # Presaturation interreduction done 0.19/0.49 0.19/0.49 # Proof found! 0.19/0.49 # SZS status Theorem 0.19/0.49 # SZS output start CNFRefutation 0.19/0.49 thf(decl_23, type, epred1_0: $i > $i > $o). 0.19/0.49 thf(decl_24, type, esk1_1: ($i > $o) > $i). 0.19/0.49 thf(surjectiveCantorThm, conjecture, ~(?[X1:$i > $i > $o]:(![X2:$i > $o]:(?[X3:$i]:(((X1 @ X3)=(X2)))))), file('/export/starexec/sandbox2/tmp/tmp.DzxNNqdXE9/E---3.1_15208.p', surjectiveCantorThm)). 0.19/0.49 thf(c_0_1, negated_conjecture, ~(~(?[X1:$i > $i > $o]:(![X2:$i > $o]:(?[X3:$i]:(((X1 @ X3)=(X2))))))), inference(assume_negation,[status(cth)],[surjectiveCantorThm])). 0.19/0.49 thf(c_0_2, negated_conjecture, ![X8:$i > $o]:(((epred1_0 @ (esk1_1 @ X8))=(X8))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])). 0.19/0.49 thf(c_0_3, negated_conjecture, ![X2:$i > $o]:(((epred1_0 @ (esk1_1 @ X2))=(X2))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.49 thf(c_0_4, negated_conjecture, ![X2:$i > $o, X10:$i]:(((epred1_0 @ (esk1_1 @ X2) @ X10)<=>(X2 @ X10))), inference(arg_cong,[status(thm)],[c_0_3])). 0.19/0.49 thf(c_0_5, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ (esk1_1 @ X2) @ X3)|~((X2 @ X3)))), inference(dynamic_cnf,[status(thm)],[c_0_4])). 0.19/0.49 thf(c_0_6, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ (esk1_1 @ (^[Z0/* 7 */:$i]:(~((X2 @ Z0))))) @ X3)|(X2 @ X3))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_5])). 0.19/0.49 thf(c_0_7, negated_conjecture, ![X2:$i > $o, X3:$i]:(((X2 @ X3)|~((epred1_0 @ (esk1_1 @ X2) @ X3)))), inference(dynamic_cnf,[status(thm)],[c_0_4])). 0.19/0.49 thf(c_0_8, negated_conjecture, (epred1_0 @ (esk1_1 @ (^[Z0/* 7 */:$i]:(~((epred1_0 @ Z0 @ Z0))))) @ (esk1_1 @ (^[Z0/* 7 */:$i]:(~((epred1_0 @ Z0 @ Z0)))))), inference(ef,[status(thm)],[c_0_6])). 0.19/0.49 thf(c_0_9, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8])]), c_0_8])]), ['proof']). 0.19/0.49 # SZS output end CNFRefutation 0.19/0.49 # Parsed axioms : 1 0.19/0.49 # Removed by relevancy pruning/SinE : 0 0.19/0.49 # Initial clauses : 1 0.19/0.49 # Removed in clause preprocessing : 0 0.19/0.49 # Initial clauses in saturation : 1 0.19/0.49 # Processed clauses : 17 0.19/0.49 # ...of these trivial : 2 0.19/0.49 # ...subsumed : 3 0.19/0.49 # ...remaining for further processing : 12 0.19/0.49 # Other redundant clauses eliminated : 0 0.19/0.49 # Clauses deleted for lack of memory : 0 0.19/0.49 # Backward-subsumed : 0 0.19/0.49 # Backward-rewritten : 0 0.19/0.49 # Generated clauses : 33 0.19/0.49 # ...of the previous two non-redundant : 24 0.19/0.49 # ...aggressively subsumed : 0 0.19/0.49 # Contextual simplify-reflections : 0 0.19/0.49 # Paramodulations : 15 0.19/0.49 # Factorizations : 2 0.19/0.49 # NegExts : 0 0.19/0.49 # Equation resolutions : 1 0.19/0.49 # Disequality decompositions : 0 0.19/0.49 # Total rewrite steps : 4 0.19/0.49 # ...of those cached : 1 0.19/0.49 # Propositional unsat checks : 0 0.19/0.49 # Propositional check models : 0 0.19/0.49 # Propositional check unsatisfiable : 0 0.19/0.49 # Propositional clauses : 0 0.19/0.49 # Propositional clauses after purity: 0 0.19/0.49 # Propositional unsat core size : 0 0.19/0.49 # Propositional preprocessing time : 0.000 0.19/0.49 # Propositional encoding time : 0.000 0.19/0.49 # Propositional solver time : 0.000 0.19/0.49 # Success case prop preproc time : 0.000 0.19/0.49 # Success case prop encoding time : 0.000 0.19/0.49 # Success case prop solver time : 0.000 0.19/0.49 # Current number of processed clauses : 10 0.19/0.49 # Positive orientable unit clauses : 5 0.19/0.49 # Positive unorientable unit clauses: 0 0.19/0.49 # Negative unit clauses : 1 0.19/0.49 # Non-unit-clauses : 4 0.19/0.49 # Current number of unprocessed clauses: 8 0.19/0.49 # ...number of literals in the above : 13 0.19/0.49 # Current number of archived formulas : 0 0.19/0.49 # Current number of archived clauses : 2 0.19/0.49 # Clause-clause subsumption calls (NU) : 10 0.19/0.49 # Rec. Clause-clause subsumption calls : 10 0.19/0.49 # Non-unit clause-clause subsumptions : 2 0.19/0.49 # Unit Clause-clause subsumption calls : 3 0.19/0.49 # Rewrite failures with RHS unbound : 0 0.19/0.49 # BW rewrite match attempts : 4 0.19/0.49 # BW rewrite match successes : 0 0.19/0.49 # Condensation attempts : 0 0.19/0.49 # Condensation successes : 0 0.19/0.49 # Termbank termtop insertions : 1486 0.19/0.49 # Search garbage collected termcells : 15 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.004 s 0.19/0.49 # System time : 0.002 s 0.19/0.49 # Total time : 0.006 s 0.19/0.49 # Maximum resident set size: 1620 pages 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.006 s 0.19/0.49 # System time : 0.003 s 0.19/0.49 # Total time : 0.009 s 0.19/0.49 # Maximum resident set size: 1704 pages 0.19/0.49 % E exiting 0.19/0.49 % E exiting 0.19/0.49 EOF