0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n012.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 02:22:49 EDT 2025 0.11/0.32 % CPUTime : 0.18/0.46 Running higher-order theorem proving 0.18/0.47 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.9jk0d0HZbK/E---3.1_1436.p 0.18/0.48 # Version: 3.0.0-ho 0.18/0.48 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting new_ho_9 with 1200s (5) cores 0.18/0.48 # Starting post_as_ho1 with 240s (1) cores 0.18/0.48 # Starting sh1l with 240s (1) cores 0.18/0.48 # Starting post_as_ho10 with 240s (1) cores 0.18/0.48 # post_as_ho1 with pid 1516 completed with status 0 0.18/0.48 # Result found by post_as_ho1 0.18/0.48 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting new_ho_9 with 1200s (5) cores 0.18/0.48 # Starting post_as_ho1 with 240s (1) cores 0.18/0.48 # No SInE strategy applied 0.18/0.48 # Search class: HHHNF-FFSF00-SHSSMFNN 0.18/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.48 # Starting new_ho_10 with 130s (1) cores 0.18/0.48 # new_ho_10 with pid 1520 completed with status 0 0.18/0.48 # Result found by new_ho_10 0.18/0.48 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting new_ho_9 with 1200s (5) cores 0.18/0.48 # Starting post_as_ho1 with 240s (1) cores 0.18/0.48 # No SInE strategy applied 0.18/0.48 # Search class: HHHNF-FFSF00-SHSSMFNN 0.18/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.48 # Starting new_ho_10 with 130s (1) cores 0.18/0.48 # Preprocessing time : 0.001 s 0.18/0.48 # Presaturation interreduction done 0.18/0.48 0.18/0.48 # Proof found! 0.18/0.48 # SZS status Theorem 0.18/0.48 # SZS output start CNFRefutation 0.18/0.48 thf(decl_30, type, intersection: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_31, type, setminus: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_37, type, epred1_0: $i > $o). 0.18/0.48 thf(decl_38, type, epred2_0: $i > $o). 0.18/0.48 thf(decl_39, type, esk1_0: $i). 0.18/0.48 thf(intersection, axiom, ((intersection)=(^[X9:$i > $o, X10:$i > $o, X4:$i]:(((X9 @ X4)&(X10 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.9jk0d0HZbK/E---3.1_1436.p', intersection)). 0.18/0.48 thf(setminus, axiom, ((setminus)=(^[X11:$i > $o, X12:$i > $o, X4:$i]:(((X11 @ X4)&~((X12 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.9jk0d0HZbK/E---3.1_1436.p', setminus)). 0.18/0.48 thf(thm, conjecture, ![X22:$i > $o, X23:$i > $o]:(((setminus @ X22 @ (intersection @ X22 @ X23))=(setminus @ X22 @ X23))), file('/export/starexec/sandbox2/tmp/tmp.9jk0d0HZbK/E---3.1_1436.p', thm)). 0.18/0.48 thf(c_0_3, plain, ((intersection)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[intersection])). 0.18/0.48 thf(c_0_4, plain, ((setminus)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&~((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[setminus])). 0.18/0.48 thf(c_0_5, negated_conjecture, ~(![X22:$i > $o, X23:$i > $o, X26:$i]:((((X22 @ X26)&~(((X22 @ X26)&(X23 @ X26))))<=>((X22 @ X26)&~((X23 @ X26)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_3]), c_0_4])])). 0.18/0.48 thf(c_0_6, negated_conjecture, ((((epred1_0 @ esk1_0)|~(epred1_0 @ esk1_0)|(~(epred1_0 @ esk1_0)|(epred2_0 @ esk1_0)))&((epred2_0 @ esk1_0)|~(epred1_0 @ esk1_0)|(~(epred1_0 @ esk1_0)|(epred2_0 @ esk1_0))))&((((epred1_0 @ esk1_0)|(epred1_0 @ esk1_0))&(~(epred2_0 @ esk1_0)|(epred1_0 @ esk1_0)))&(((epred1_0 @ esk1_0)|(~(epred1_0 @ esk1_0)|~(epred2_0 @ esk1_0)))&(~(epred2_0 @ esk1_0)|(~(epred1_0 @ esk1_0)|~(epred2_0 @ esk1_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 0.18/0.48 thf(c_0_7, negated_conjecture, (~((epred2_0 @ esk1_0))|~((epred1_0 @ esk1_0))|~((epred2_0 @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.18/0.48 thf(c_0_8, negated_conjecture, ((epred1_0 @ esk1_0)|(epred1_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.18/0.48 thf(c_0_9, negated_conjecture, ((epred2_0 @ esk1_0)|(epred2_0 @ esk1_0)|~((epred1_0 @ esk1_0))|~((epred1_0 @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.18/0.48 thf(c_0_10, negated_conjecture, (~((epred1_0 @ esk1_0))|~((epred2_0 @ esk1_0))), inference(cn,[status(thm)],[c_0_7])). 0.18/0.48 thf(c_0_11, negated_conjecture, (epred1_0 @ esk1_0), inference(cn,[status(thm)],[c_0_8])). 0.18/0.48 thf(c_0_12, negated_conjecture, ((epred2_0 @ esk1_0)|~((epred1_0 @ esk1_0))), inference(cn,[status(thm)],[c_0_9])). 0.18/0.48 thf(c_0_13, negated_conjecture, ~((epred2_0 @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])). 0.18/0.48 thf(c_0_14, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_11])]), c_0_13]), ['proof']). 0.18/0.48 # SZS output end CNFRefutation 0.18/0.48 # Parsed axioms : 29 0.18/0.48 # Removed by relevancy pruning/SinE : 0 0.18/0.48 # Initial clauses : 20 0.18/0.48 # Removed in clause preprocessing : 16 0.18/0.48 # Initial clauses in saturation : 4 0.18/0.48 # Processed clauses : 4 0.18/0.48 # ...of these trivial : 1 0.18/0.48 # ...subsumed : 0 0.18/0.48 # ...remaining for further processing : 2 0.18/0.48 # Other redundant clauses eliminated : 0 0.18/0.48 # Clauses deleted for lack of memory : 0 0.18/0.48 # Backward-subsumed : 0 0.18/0.48 # Backward-rewritten : 0 0.18/0.48 # Generated clauses : 0 0.18/0.48 # ...of the previous two non-redundant : 0 0.18/0.48 # ...aggressively subsumed : 0 0.18/0.48 # Contextual simplify-reflections : 0 0.18/0.48 # Paramodulations : 0 0.18/0.48 # Factorizations : 0 0.18/0.48 # NegExts : 0 0.18/0.48 # Equation resolutions : 0 0.18/0.48 # Disequality decompositions : 0 0.18/0.48 # Total rewrite steps : 3 0.18/0.48 # ...of those cached : 2 0.18/0.48 # Propositional unsat checks : 0 0.18/0.48 # Propositional check models : 0 0.18/0.48 # Propositional check unsatisfiable : 0 0.18/0.48 # Propositional clauses : 0 0.18/0.48 # Propositional clauses after purity: 0 0.18/0.48 # Propositional unsat core size : 0 0.18/0.48 # Propositional preprocessing time : 0.000 0.18/0.48 # Propositional encoding time : 0.000 0.18/0.48 # Propositional solver time : 0.000 0.18/0.48 # Success case prop preproc time : 0.000 0.18/0.48 # Success case prop encoding time : 0.000 0.18/0.48 # Success case prop solver time : 0.000 0.18/0.48 # Current number of processed clauses : 2 0.18/0.48 # Positive orientable unit clauses : 1 0.18/0.48 # Positive unorientable unit clauses: 0 0.18/0.48 # Negative unit clauses : 1 0.18/0.48 # Non-unit-clauses : 0 0.18/0.48 # Current number of unprocessed clauses: 0 0.18/0.48 # ...number of literals in the above : 0 0.18/0.48 # Current number of archived formulas : 0 0.18/0.48 # Current number of archived clauses : 0 0.18/0.48 # Clause-clause subsumption calls (NU) : 0 0.18/0.48 # Rec. Clause-clause subsumption calls : 0 0.18/0.48 # Non-unit clause-clause subsumptions : 0 0.18/0.48 # Unit Clause-clause subsumption calls : 0 0.18/0.48 # Rewrite failures with RHS unbound : 0 0.18/0.48 # BW rewrite match attempts : 0 0.18/0.48 # BW rewrite match successes : 0 0.18/0.48 # Condensation attempts : 4 0.18/0.48 # Condensation successes : 0 0.18/0.48 # Termbank termtop insertions : 1044 0.18/0.48 # Search garbage collected termcells : 162 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.003 s 0.18/0.48 # System time : 0.002 s 0.18/0.48 # Total time : 0.005 s 0.18/0.48 # Maximum resident set size: 1772 pages 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.004 s 0.18/0.48 # System time : 0.004 s 0.18/0.48 # Total time : 0.008 s 0.18/0.48 # Maximum resident set size: 1744 pages 0.18/0.48 % E exiting 0.18/0.48 % E exiting 0.18/0.48 EOF