0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.02/0.31 % Computer : n024.cluster.edu 0.02/0.31 % Model : x86_64 x86_64 0.02/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.02/0.31 % Memory : 8046.5625MB 0.02/0.31 % OS : Linux 6.8.0-71-generic 0.02/0.31 % CPULimit : 1440 0.02/0.31 % WCLimit : 180 0.02/0.31 % DateTime : Mon Jul 27 04:55:15 UTC 2026 0.02/0.31 % CPUTime : 0.02/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.06/0.33 Running higher-order theorem proving 0.06/0.34 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=180 /export/starexec/sandbox/tmp/tmp.vbkXHBGzQt/E---3.1_2867166.p 0.06/0.35 % Version: 3.5.1-ho 0.06/0.35 % Preprocessing class: HSSSSMSSSSSNSSA. 0.06/0.35 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.35 % Starting post_as_ho12 with 180s (1) cores 0.06/0.35 % Starting new_bool_9 with 180s (1) cores 0.06/0.35 % Starting post_as_ho1 with 180s (1) cores 0.06/0.35 % Starting post_as_ho4 with 180s (1) cores 0.06/0.35 % Starting post_as_ho2 with 180s (1) cores 0.06/0.35 % Starting ehoh_best2_full_lfho with 180s (1) cores 0.06/0.35 % Starting full_lambda_10 with 180s (1) cores 0.06/0.35 % Starting new_ho_8 with 180s (1) cores 0.06/0.35 % post_as_ho12 with pid 2867179 completed with status 0 0.06/0.35 % Result found by post_as_ho12 0.06/0.35 % Preprocessing class: HSSSSMSSSSSNSSA. 0.06/0.35 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.35 % Starting post_as_ho12 with 180s (1) cores 0.06/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.06/0.35 % No SInE strategy applied 0.06/0.35 % Search class: HGUSF-FFSF21-SSSFFMBC 0.06/0.35 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.06/0.35 % Starting SubtermCWHack with 19s (1) cores 0.06/0.35 % SubtermCWHack with pid 2867188 completed with status 10 0.06/0.35 % Starting ho_unfolding_6 with 45s (1) cores 0.06/0.35 % ho_unfolding_6 with pid 2867194 completed with status 0 0.06/0.35 % Result found by ho_unfolding_6 0.06/0.35 % Preprocessing class: HSSSSMSSSSSNSSA. 0.06/0.35 % Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.35 % Starting post_as_ho12 with 180s (1) cores 0.06/0.35 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.06/0.35 % No SInE strategy applied 0.06/0.35 % Search class: HGUSF-FFSF21-SSSFFMBC 0.06/0.35 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.06/0.35 % Starting SubtermCWHack with 19s (1) cores 0.06/0.35 % SubtermCWHack with pid 2867188 completed with status 10 0.06/0.35 % Starting ho_unfolding_6 with 45s (1) cores 0.06/0.35 % Preprocessing time : 0.001 s 0.06/0.35 0.06/0.35 % Proof found! 0.06/0.35 % SZS status Theorem 0.06/0.35 % SZS output start CNFRefutation 0.06/0.35 thf(decl_sort1, type, a: $tType). 0.06/0.35 thf(decl_23, type, cR: a > a > $o). 0.06/0.35 thf(decl_24, type, esk1_1: (a > $o) > a). 0.06/0.35 thf(decl_25, type, esk2_2: (a > $o) > a > a). 0.06/0.35 thf(decl_26, type, esk3_0: a). 0.06/0.35 thf(cTHM542_pme, conjecture, (![X1:a]:((cR @ X1 @ X1))<=![X2:a > $o]:((?[X3:a]:((X2 @ X3))=>?[X3:a]:((((X2 @ X3)&![X4:a]:(((![X1:a]:(((X2 @ X1)=>(cR @ X4 @ X1)))&(X2 @ X4))=>((X4)=(X3)))))&![X1:a]:(((X2 @ X1)=>(cR @ X3 @ X1)))))))), file('/export/starexec/sandbox/tmp/tmp.vbkXHBGzQt/E---3.1_2867166.p', cTHM542_pme)). 0.06/0.35 thf(c_0_1, negated_conjecture, ~((![X1:a]:((cR @ X1 @ X1))<=![X2:a > $o]:((?[X3:a]:((X2 @ X3))=>?[X3:a]:((((X2 @ X3)&![X4:a]:(((![X1:a]:(((X2 @ X1)=>(cR @ X4 @ X1)))&(X2 @ X4))=>((X4)=(X3)))))&![X1:a]:(((X2 @ X1)=>(cR @ X3 @ X1))))))))), inference(assume_negation,[status(cth)],[cTHM542_pme])). 0.06/0.35 thf(c_0_2, negated_conjecture, ~((![X2:a > $o]:((?[X3:a]:((X2 @ X3))=>?[X3:a]:((((X2 @ X3)&![X4:a]:(((![X1:a]:(((X2 @ X1)=>(cR @ X4 @ X1)))&(X2 @ X4))=>((X4)=(X3)))))&![X1:a]:(((X2 @ X1)=>(cR @ X3 @ X1)))))))=>![X1:a]:((cR @ X1 @ X1)))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.06/0.35 thf(c_0_3, negated_conjecture, ![X12:a > $o, X13:a, X15:a, X17:a]:((((((X12 @ (esk1_1 @ X12))|~(X12 @ X13))&(((X12 @ (esk2_2 @ X12 @ X15))|~(X12 @ X15)|((X15)=(esk1_1 @ X12))|~(X12 @ X13))&(~(cR @ X15 @ (esk2_2 @ X12 @ X15))|~(X12 @ X15)|((X15)=(esk1_1 @ X12))|~(X12 @ X13))))&(~(X12 @ X17)|(cR @ (esk1_1 @ X12) @ X17)|~(X12 @ X13)))&~(cR @ esk3_0 @ esk3_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(fof_nnf,[status(thm)],[c_0_2])])])])])])). 0.06/0.35 thf(c_0_4, negated_conjecture, ![X2:a > $o, X1:a]:(((X2 @ (esk1_1 @ X2))|~((X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.06/0.35 thf(c_0_5, negated_conjecture, ![X1:a, X2:a > $o, X3:a]:(((cR @ (esk1_1 @ X2) @ X1)|~((X2 @ X1))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.06/0.35 thf(c_0_6, negated_conjecture, ![X1:a]:(((esk1_1 @ (^[Z0:a]:(((Z0)=(X1)))))=(X1))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_4])). 0.06/0.35 thf(c_0_7, negated_conjecture, ~((cR @ esk3_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_3])). 0.06/0.35 thf(c_0_8, negated_conjecture, ![X1:a]:((cR @ X1 @ X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6])])])])). 0.06/0.35 thf(c_0_9, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])]), ['proof']). 0.06/0.35 % SZS output end CNFRefutation 0.06/0.35 % Parsed axioms : 3 0.06/0.35 % Removed by relevancy pruning/SinE : 0 0.06/0.35 % Initial clauses : 7 0.06/0.35 % Removed in clause preprocessing : 2 0.06/0.35 % Initial clauses in saturation : 5 0.06/0.35 % Processed clauses : 8 0.06/0.35 % ...of these trivial : 0 0.06/0.35 % ...subsumed : 1 0.06/0.35 % ...remaining for further processing : 7 0.06/0.35 % Other redundant clauses eliminated : 4 0.06/0.35 % Clauses deleted for lack of memory : 0 0.06/0.35 % Backward-subsumed : 0 0.06/0.35 % Backward-rewritten : 1 0.06/0.35 % Generated clauses : 20 0.06/0.35 % ...of the previous two non-redundant : 11 0.06/0.35 % ...aggressively subsumed : 0 0.06/0.35 % Contextual simplify-reflections : 0 0.06/0.35 % Paramodulations : 13 0.06/0.35 % Factorizations : 0 0.06/0.35 % NegExts : 0 0.06/0.35 % Equation resolutions : 4 0.06/0.35 % Disequality decompositions : 0 0.06/0.35 % Total rewrite steps : 1 0.06/0.35 % ...of those cached : 0 0.06/0.35 % Propositional unsat checks : 0 0.06/0.35 % Propositional check models : 0 0.06/0.35 % Propositional check unsatisfiable : 0 0.06/0.35 % Propositional clauses : 0 0.06/0.35 % Propositional clauses after purity: 0 0.06/0.35 % Propositional unsat core size : 0 0.06/0.35 % Propositional preprocessing time : 0.000 0.06/0.35 % Propositional encoding time : 0.000 0.06/0.35 % Propositional solver time : 0.000 0.06/0.35 % Success case prop preproc time : 0.000 0.06/0.35 % Success case prop encoding time : 0.000 0.06/0.35 % Success case prop solver time : 0.000 0.06/0.35 % Current number of processed clauses : 6 0.06/0.35 % Positive orientable unit clauses : 1 0.06/0.35 % Positive unorientable unit clauses: 1 0.06/0.35 % Negative unit clauses : 0 0.06/0.35 % Non-unit-clauses : 4 0.06/0.35 % Current number of unprocessed clauses: 8 0.06/0.35 % ...number of literals in the above : 24 0.06/0.35 % Current number of archived formulas : 0 0.06/0.35 % Current number of archived clauses : 1 0.06/0.35 % Clause-clause subsumption calls (NU) : 11 0.06/0.35 % Rec. Clause-clause subsumption calls : 8 0.06/0.35 % Non-unit clause-clause subsumptions : 0 0.06/0.35 % Unit Clause-clause subsumption calls : 1 0.06/0.35 % Rewrite failures with RHS unbound : 0 0.06/0.35 % BW rewrite match attempts : 14 0.06/0.35 % BW rewrite match successes : 4 0.06/0.35 % Condensation attempts : 8 0.06/0.35 % Condensation successes : 0 0.06/0.35 % Termbank termtop insertions : 1181 0.06/0.35 % Search garbage collected termcells : 238 0.06/0.35 0.06/0.35 % ------------------------------------------------- 0.06/0.35 % User time : 0.003 s 0.06/0.35 % System time : 0.002 s 0.06/0.35 % Total time : 0.005 s 0.06/0.35 % Maximum resident set size: 3632 pages 0.06/0.35 0.06/0.35 % ------------------------------------------------- 0.06/0.35 % User time : 0.004 s 0.06/0.35 % System time : 0.005 s 0.06/0.35 % Total time : 0.008 s 0.06/0.35 % Maximum resident set size: 4864 pages 0.06/0.35 % E exiting 0.06/0.35 EOF