0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.36 % Computer : n023.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 10:33:20 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.40 Running higher-order theorem proving 0.10/0.43 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.mfkZM36eQW/E---3.1_760675.p 0.18/0.50 % Version: 3.5.1-ho 0.18/0.50 % Preprocessing class: HSLSSMSSSSSNHSA. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting full_lambda_9 with 900s (5) cores 0.18/0.50 % Starting new_ho_11 with 180s (1) cores 0.18/0.50 % Starting sh2l with 180s (1) cores 0.18/0.50 % Starting new_bool_6 with 180s (1) cores 0.18/0.50 % sh2l with pid 760690 completed with status 0 0.18/0.50 % Result found by sh2l 0.18/0.50 % Preprocessing class: HSLSSMSSSSSNHSA. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting full_lambda_9 with 900s (5) cores 0.18/0.50 % Starting new_ho_11 with 180s (1) cores 0.18/0.50 % Starting sh2l with 180s (1) cores 0.18/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000) 0.18/0.50 % SinE strategy is gf120_gu_RUU_F100_L01000 0.18/0.50 % Search class: HGHSM-FSLF21-MHSFFFNN 0.18/0.50 % partial match(3): HGHSM-FSLM31-MHSFFFBN 0.18/0.50 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 % Starting SubtermCWHack with 17s (1) cores 0.18/0.50 % SubtermCWHack with pid 760692 completed with status 0 0.18/0.50 % Result found by SubtermCWHack 0.18/0.50 % Preprocessing class: HSLSSMSSSSSNHSA. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting full_lambda_9 with 900s (5) cores 0.18/0.50 % Starting new_ho_11 with 180s (1) cores 0.18/0.50 % Starting sh2l with 180s (1) cores 0.18/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000) 0.18/0.50 % SinE strategy is gf120_gu_RUU_F100_L01000 0.18/0.50 % Search class: HGHSM-FSLF21-MHSFFFNN 0.18/0.50 % partial match(3): HGHSM-FSLM31-MHSFFFBN 0.18/0.50 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 % Starting SubtermCWHack with 17s (1) cores 0.18/0.50 % Preprocessing time : 0.002 s 0.18/0.50 0.18/0.50 % Proof found! 0.18/0.50 % SZS status Theorem 0.18/0.50 % SZS output start CNFRefutation 0.18/0.50 thf(decl_sort1, type, a: $tType). 0.18/0.50 thf(decl_50, type, inf: a > a > a). 0.18/0.50 thf(decl_52, type, less_eq: a > a > $o). 0.18/0.50 thf(decl_53, type, sup: a > a > a). 0.18/0.50 thf(decl_54, type, x: a). 0.18/0.50 thf(decl_55, type, y: a). 0.18/0.50 thf(decl_56, type, z: a). 0.18/0.50 thf(conj_4, conjecture, (less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z)), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', conj_4)). 0.18/0.50 thf(fact_42_local_Osup__commute, axiom, ![X7:a, X8:a]:(((sup @ X7 @ X8)=(sup @ X8 @ X7))), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', fact_42_local_Osup__commute)). 0.18/0.50 thf(fact_99_local_Ole__supI2, axiom, ![X7:a, X5:a, X4:a]:(((less_eq @ X7 @ X5)=>(less_eq @ X7 @ (sup @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', fact_99_local_Ole__supI2)). 0.18/0.50 thf(fact_158_local_Ole__inf__iff, axiom, ![X7:a, X8:a, X9:a]:(((less_eq @ X7 @ (inf @ X8 @ X9))<=>((less_eq @ X7 @ X8)&(less_eq @ X7 @ X9)))), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', fact_158_local_Ole__inf__iff)). 0.18/0.50 thf(fact_116_local_Osup__ge1, axiom, ![X7:a, X8:a]:((less_eq @ X7 @ (sup @ X7 @ X8))), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', fact_116_local_Osup__ge1)). 0.18/0.50 thf(conj_1, hypothesis, (less_eq @ x @ y), file('/export/starexec/sandbox/tmp/tmp.mfkZM36eQW/E---3.1_760675.p', conj_1)). 0.18/0.50 thf(c_0_6, negated_conjecture, ~((less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))), inference(assume_negation,[status(cth)],[conj_4])). 0.18/0.50 thf(c_0_7, negated_conjecture, ~(less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z)), inference(fof_simplification,[status(thm)],[c_0_6])). 0.18/0.50 thf(c_0_8, negated_conjecture, ~(less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z)), inference(fof_nnf,[status(thm)],[c_0_7])). 0.18/0.50 thf(c_0_9, plain, ![X503:a, X504:a]:(((sup @ X503 @ X504)=(sup @ X504 @ X503))), inference(variable_rename,[status(thm)],[fact_42_local_Osup__commute])). 0.18/0.50 thf(c_0_10, negated_conjecture, ~((less_eq @ x @ (sup @ (inf @ y @ (sup @ x @ z)) @ z))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.18/0.50 thf(c_0_11, plain, ![X5:a, X4:a]:(((sup @ X4 @ X5)=(sup @ X5 @ X4))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.18/0.50 thf(c_0_12, plain, ![X487:a, X488:a, X489:a]:((~(less_eq @ X487 @ X488)|(less_eq @ X487 @ (sup @ X489 @ X488)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_local_Ole__supI2])])])). 0.18/0.50 thf(c_0_13, negated_conjecture, ~((less_eq @ x @ (sup @ z @ (inf @ y @ (sup @ x @ z))))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.18/0.50 thf(c_0_14, plain, ![X4:a, X6:a, X5:a]:(((less_eq @ X4 @ (sup @ X6 @ X5))|~((less_eq @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.18/0.50 thf(c_0_15, plain, ![X612:a, X613:a, X614:a]:(((((less_eq @ X612 @ X613)|~(less_eq @ X612 @ (inf @ X613 @ X614)))&((less_eq @ X612 @ X614)|~(less_eq @ X612 @ (inf @ X613 @ X614))))&(~(less_eq @ X612 @ X613)|~(less_eq @ X612 @ X614)|(less_eq @ X612 @ (inf @ X613 @ X614))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_158_local_Ole__inf__iff])])])])). 0.18/0.50 thf(c_0_16, plain, ![X458:a, X459:a]:((less_eq @ X458 @ (sup @ X458 @ X459))), inference(variable_rename,[status(thm)],[fact_116_local_Osup__ge1])). 0.18/0.50 thf(c_0_17, negated_conjecture, ~((less_eq @ x @ (inf @ y @ (sup @ x @ z)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.18/0.50 thf(c_0_18, plain, ![X4:a, X5:a, X6:a]:(((less_eq @ X4 @ (inf @ X5 @ X6))|~((less_eq @ X4 @ X5))|~((less_eq @ X4 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.18/0.50 thf(c_0_19, plain, ![X4:a, X5:a]:((less_eq @ X4 @ (sup @ X4 @ X5))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.18/0.50 thf(c_0_20, hypothesis, (less_eq @ x @ y), inference(split_conjunct,[status(thm)],[conj_1])). 0.18/0.50 thf(c_0_21, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20])]), ['proof']). 0.18/0.50 % SZS output end CNFRefutation 0.18/0.50 % Parsed axioms : 290 0.18/0.50 % Removed by relevancy pruning/SinE : 133 0.18/0.50 % Initial clauses : 210 0.18/0.50 % Removed in clause preprocessing : 5 0.18/0.50 % Initial clauses in saturation : 205 0.18/0.50 % Processed clauses : 1019 0.18/0.50 % ...of these trivial : 64 0.18/0.50 % ...subsumed : 740 0.18/0.50 % ...remaining for further processing : 215 0.18/0.50 % Other redundant clauses eliminated : 26 0.18/0.50 % Clauses deleted for lack of memory : 0 0.18/0.50 % Backward-subsumed : 1 0.18/0.50 % Backward-rewritten : 14 0.18/0.50 % Generated clauses : 3047 0.18/0.50 % ...of the previous two non-redundant : 2439 0.18/0.50 % ...aggressively subsumed : 0 0.18/0.50 % Contextual simplify-reflections : 2 0.18/0.50 % Paramodulations : 3021 0.18/0.50 % Factorizations : 0 0.18/0.50 % NegExts : 0 0.18/0.50 % Equation resolutions : 26 0.18/0.50 % Disequality decompositions : 0 0.18/0.50 % Total rewrite steps : 838 0.18/0.50 % ...of those cached : 637 0.18/0.50 % Propositional unsat checks : 0 0.18/0.50 % Propositional check models : 0 0.18/0.50 % Propositional check unsatisfiable : 0 0.18/0.50 % Propositional clauses : 0 0.18/0.50 % Propositional clauses after purity: 0 0.18/0.50 % Propositional unsat core size : 0 0.18/0.50 % Propositional preprocessing time : 0.000 0.18/0.50 % Propositional encoding time : 0.000 0.18/0.50 % Propositional solver time : 0.000 0.18/0.50 % Success case prop preproc time : 0.000 0.18/0.50 % Success case prop encoding time : 0.000 0.18/0.50 % Success case prop solver time : 0.000 0.18/0.50 % Current number of processed clauses : 178 0.18/0.50 % Positive orientable unit clauses : 46 0.18/0.50 % Positive unorientable unit clauses: 4 0.18/0.50 % Negative unit clauses : 41 0.18/0.50 % Non-unit-clauses : 87 0.18/0.50 % Current number of unprocessed clauses: 1610 0.18/0.50 % ...number of literals in the above : 3248 0.18/0.50 % Current number of archived formulas : 0 0.18/0.50 % Current number of archived clauses : 15 0.18/0.50 % Clause-clause subsumption calls (NU) : 1381 0.18/0.50 % Rec. Clause-clause subsumption calls : 1271 0.18/0.50 % Non-unit clause-clause subsumptions : 326 0.18/0.50 % Unit Clause-clause subsumption calls : 61 0.18/0.50 % Rewrite failures with RHS unbound : 0 0.18/0.50 % BW rewrite match attempts : 74 0.18/0.50 % BW rewrite match successes : 42 0.18/0.50 % Condensation attempts : 0 0.18/0.50 % Condensation successes : 0 0.18/0.50 % Termbank termtop insertions : 37205 0.18/0.50 % Search garbage collected termcells : 4348 0.18/0.50 0.18/0.50 % ------------------------------------------------- 0.18/0.50 % User time : 0.035 s 0.18/0.50 % System time : 0.005 s 0.18/0.50 % Total time : 0.040 s 0.18/0.50 % Maximum resident set size: 4460 pages 0.18/0.50 0.18/0.50 % ------------------------------------------------- 0.18/0.50 % User time : 0.043 s 0.18/0.50 % System time : 0.010 s 0.18/0.50 % Total time : 0.053 s 0.18/0.50 % Maximum resident set size: 5120 pages 0.18/0.50 % E exiting 0.18/0.50 EOF