0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.36 % Computer : n005.cluster.edu 0.10/0.36 % Model : x86_64 x86_64 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.36 % Memory : 8046.5625MB 0.10/0.36 % OS : Linux 6.8.0-71-generic 0.10/0.36 % CPULimit : 1440 0.10/0.36 % WCLimit : 180 0.10/0.36 % DateTime : Mon Jul 27 09:48:19 UTC 2026 0.10/0.37 % CPUTime : 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.40 Running higher-order theorem proving 0.10/0.41 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=180 /export/starexec/sandbox2/tmp/tmp.ATiG4CWeAh/E---3.1_2884277.p 0.10/0.44 % Version: 3.5.1-ho 0.10/0.44 % Preprocessing class: HSSSSMSSSSSNHHA. 0.10/0.44 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.10/0.44 % Starting sh2lt with 720s (4) cores 0.10/0.44 % Starting new_ho_10_unif with 180s (1) cores 0.10/0.44 % Starting full_lambda_6 with 180s (1) cores 0.10/0.44 % Starting post_as_ho1 with 180s (1) cores 0.10/0.44 % Starting ehoh_best3_rw with 180s (1) cores 0.10/0.44 % sh2lt with pid 2884307 completed with status 0 0.10/0.44 % Result found by sh2lt 0.10/0.44 % Preprocessing class: HSSSSMSSSSSNHHA. 0.10/0.44 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.10/0.44 % Starting sh2lt with 720s (4) cores 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.10/0.44 % Search class: HGUNF-FFSF22-SHHFFSBN 0.10/0.44 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 0.10/0.44 % Starting SubtermCWHack with 65s (1) cores 0.10/0.44 % Starting sh2lt with 73s (1) cores 0.10/0.44 % Starting full_lambda_7 with 65s (1) cores 0.10/0.44 % Starting lpo8_lambda_fix with 65s (1) cores 0.10/0.44 % sh2lt with pid 2884314 completed with status 0 0.10/0.44 % Result found by sh2lt 0.10/0.44 % Preprocessing class: HSSSSMSSSSSNHHA. 0.10/0.44 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.10/0.44 % Starting sh2lt with 720s (4) cores 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.10/0.44 % Search class: HGUNF-FFSF22-SHHFFSBN 0.10/0.44 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 0.10/0.44 % Starting SubtermCWHack with 65s (1) cores 0.10/0.44 % Starting sh2lt with 73s (1) cores 0.10/0.44 % Preprocessing time : 0.001 s 0.10/0.44 % Presaturation interreduction done 0.10/0.44 0.10/0.44 % Proof found! 0.10/0.44 % SZS status Theorem 0.10/0.44 % SZS output start CNFRefutation 0.10/0.44 thf(decl_sort1, type, a: $tType). 0.10/0.44 thf(decl_23, type, epred1_0: a > a > $o). 0.10/0.44 thf(decl_24, type, esk1_0: (a > $o) > a). 0.10/0.44 thf(decl_25, type, esk2_2: (a > $o) > a > a). 0.10/0.44 thf(decl_26, type, esk3_0: a > a). 0.10/0.44 thf(cTHM402_pme, conjecture, ![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((?[X4:a]:((X1 @ X4 @ (X3 @ X4)))<=![X5:a, X6:a]:(((X1 @ X5 @ X6)=>(X1 @ (X3 @ X5) @ (X3 @ X6))))))<=(![X7:a > $o]:((![X8:a]:((![X9:a]:(((X7 @ X9)=>(X1 @ X9 @ X8)))=>(X1 @ (X2 @ X7) @ X8)))&![X10:a]:(((X7 @ X10)=>(X1 @ X10 @ (X2 @ X7))))))&![X5:a, X6:a, X10:a]:(((X1 @ X5 @ X10)<=((X1 @ X6 @ X10)&(X1 @ X5 @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.ATiG4CWeAh/E---3.1_2884277.p', cTHM402_pme)). 0.10/0.44 thf(c_0_1, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((?[X4:a]:((X1 @ X4 @ (X3 @ X4)))<=![X5:a, X6:a]:(((X1 @ X5 @ X6)=>(X1 @ (X3 @ X5) @ (X3 @ X6))))))<=(![X7:a > $o]:((![X8:a]:((![X9:a]:(((X7 @ X9)=>(X1 @ X9 @ X8)))=>(X1 @ (X2 @ X7) @ X8)))&![X10:a]:(((X7 @ X10)=>(X1 @ X10 @ (X2 @ X7))))))&![X5:a, X6:a, X10:a]:(((X1 @ X5 @ X10)<=((X1 @ X6 @ X10)&(X1 @ X5 @ X6)))))))), inference(assume_negation,[status(cth)],[cTHM402_pme])). 0.10/0.44 thf(c_0_2, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:(((![X7:a > $o]:((![X8:a]:((![X9:a]:(((X7 @ X9)=>(X1 @ X9 @ X8)))=>(X1 @ (X2 @ X7) @ X8)))&![X10:a]:(((X7 @ X10)=>(X1 @ X10 @ (X2 @ X7))))))&![X5:a, X6:a, X10:a]:((((X1 @ X6 @ X10)&(X1 @ X5 @ X6))=>(X1 @ X5 @ X10))))=>![X3:a > a]:((![X5:a, X6:a]:(((X1 @ X5 @ X6)=>(X1 @ (X3 @ X5) @ (X3 @ X6))))=>?[X4:a]:((X1 @ X4 @ (X3 @ X4)))))))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.10/0.44 thf(c_0_3, negated_conjecture, ![X26:a > $o, X27:a, X29:a, X30:a, X31:a, X32:a, X34:a, X35:a, X36:a]:(((((((X26 @ (esk2_2 @ X26 @ X27))|(epred1_0 @ (esk1_0 @ X26) @ X27))&(~(epred1_0 @ (esk2_2 @ X26 @ X27) @ X27)|(epred1_0 @ (esk1_0 @ X26) @ X27)))&(~(X26 @ X29)|(epred1_0 @ X29 @ (esk1_0 @ X26))))&(~(epred1_0 @ X31 @ X32)|~(epred1_0 @ X30 @ X31)|(epred1_0 @ X30 @ X32)))&((~(epred1_0 @ X34 @ X35)|(epred1_0 @ (esk3_0 @ X34) @ (esk3_0 @ X35)))&~(epred1_0 @ X36 @ (esk3_0 @ X36))))), 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])])])])])])). 0.10/0.44 thf(c_0_4, negated_conjecture, ![X4:a]:(~((epred1_0 @ X4 @ (esk3_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.10/0.44 thf(c_0_5, negated_conjecture, ![X7:a > $o, X4:a]:(((X7 @ (esk2_2 @ X7 @ X4))|(epred1_0 @ (esk1_0 @ X7) @ X4))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.10/0.44 thf(c_0_6, negated_conjecture, ($false), inference(flex_resolve,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_5])]), ['proof']). 0.10/0.44 % SZS output end CNFRefutation 0.10/0.44 % Parsed axioms : 2 0.10/0.44 % Removed by relevancy pruning/SinE : 1 0.10/0.44 % Initial clauses : 6 0.10/0.44 % Removed in clause preprocessing : 0 0.10/0.44 % Initial clauses in saturation : 6 0.10/0.44 % Processed clauses : 19 0.10/0.44 % ...of these trivial : 0 0.10/0.44 % ...subsumed : 1 0.10/0.44 % ...remaining for further processing : 17 0.10/0.44 % Other redundant clauses eliminated : 0 0.10/0.44 % Clauses deleted for lack of memory : 0 0.10/0.44 % Backward-subsumed : 0 0.10/0.44 % Backward-rewritten : 2 0.10/0.44 % Generated clauses : 26 0.10/0.44 % ...of the previous two non-redundant : 19 0.10/0.44 % ...aggressively subsumed : 0 0.10/0.44 % Contextual simplify-reflections : 0 0.10/0.44 % Paramodulations : 22 0.10/0.44 % Factorizations : 0 0.10/0.44 % NegExts : 0 0.10/0.44 % Equation resolutions : 0 0.10/0.44 % Disequality decompositions : 0 0.10/0.44 % Total rewrite steps : 7 0.10/0.44 % ...of those cached : 0 0.10/0.44 % Propositional unsat checks : 0 0.10/0.44 % Propositional check models : 0 0.10/0.44 % Propositional check unsatisfiable : 0 0.10/0.44 % Propositional clauses : 0 0.10/0.44 % Propositional clauses after purity: 0 0.10/0.44 % Propositional unsat core size : 0 0.10/0.44 % Propositional preprocessing time : 0.000 0.10/0.44 % Propositional encoding time : 0.000 0.10/0.44 % Propositional solver time : 0.000 0.10/0.44 % Success case prop preproc time : 0.000 0.10/0.44 % Success case prop encoding time : 0.000 0.10/0.44 % Success case prop solver time : 0.000 0.10/0.44 % Current number of processed clauses : 9 0.10/0.44 % Positive orientable unit clauses : 2 0.10/0.44 % Positive unorientable unit clauses: 0 0.10/0.44 % Negative unit clauses : 1 0.10/0.44 % Non-unit-clauses : 6 0.10/0.44 % Current number of unprocessed clauses: 12 0.10/0.44 % ...number of literals in the above : 26 0.10/0.44 % Current number of archived formulas : 0 0.10/0.44 % Current number of archived clauses : 8 0.10/0.44 % Clause-clause subsumption calls (NU) : 7 0.10/0.44 % Rec. Clause-clause subsumption calls : 7 0.10/0.44 % Non-unit clause-clause subsumptions : 0 0.10/0.44 % Unit Clause-clause subsumption calls : 0 0.10/0.44 % Rewrite failures with RHS unbound : 0 0.10/0.44 % BW rewrite match attempts : 2 0.10/0.44 % BW rewrite match successes : 2 0.10/0.44 % Condensation attempts : 0 0.10/0.44 % Condensation successes : 0 0.10/0.44 % Termbank termtop insertions : 1512 0.10/0.44 % Search garbage collected termcells : 365 0.10/0.44 0.10/0.44 % ------------------------------------------------- 0.10/0.44 % User time : 0.003 s 0.10/0.44 % System time : 0.003 s 0.10/0.44 % Total time : 0.006 s 0.10/0.44 % Maximum resident set size: 3640 pages 0.10/0.44 0.10/0.44 % ------------------------------------------------- 0.10/0.44 % User time : 0.014 s 0.10/0.44 % System time : 0.006 s 0.10/0.44 % Total time : 0.020 s 0.10/0.44 % Maximum resident set size: 4608 pages 0.10/0.44 % E exiting 0.10/0.44 EOF