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 0.11/0.37 % Computer : n017.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8046.5625MB 0.11/0.37 % OS : Linux 6.8.0-71-generic 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 27 09:32:52 UTC 2026 0.11/0.38 % CPUTime : 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.45 Running higher-order theorem proving 0.24/0.59 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.DGZxdwvMDc/E---3.1_1197869.p 0.34/0.86 % Version: 3.5.1-ho 0.34/0.86 % Preprocessing class: HSLMSMSMSSMNSFA. 0.34/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.34/0.86 % Starting ho_unfolding_3 with 900s (5) cores 0.34/0.86 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.34/0.86 % Starting full_lambda_6 with 180s (1) cores 0.34/0.86 % Starting ehoh_best_sine with 180s (1) cores 0.34/0.86 % full_lambda_6 with pid 1197884 completed with status 0 0.34/0.86 % Result found by full_lambda_6 0.34/0.86 % Preprocessing class: HSLMSMSMSSMNSFA. 0.34/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.34/0.86 % Starting ho_unfolding_3 with 900s (5) cores 0.34/0.86 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.34/0.86 % Starting full_lambda_6 with 180s (1) cores 0.34/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true)) 0.34/0.86 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.34/0.86 % Search class: HGHSM-FSLM31-DSFFFFBN 0.34/0.86 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.34/0.86 % Starting SubtermCWHack with 17s (1) cores 0.34/0.86 % SubtermCWHack with pid 1197886 completed with status 0 0.34/0.86 % Result found by SubtermCWHack 0.34/0.86 % Preprocessing class: HSLMSMSMSSMNSFA. 0.34/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.34/0.86 % Starting ho_unfolding_3 with 900s (5) cores 0.34/0.86 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.34/0.86 % Starting full_lambda_6 with 180s (1) cores 0.34/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true)) 0.34/0.86 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.34/0.86 % Search class: HGHSM-FSLM31-DSFFFFBN 0.34/0.86 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.34/0.86 % Starting SubtermCWHack with 17s (1) cores 0.34/0.86 % Preprocessing time : 0.010 s 0.34/0.86 0.34/0.86 % Proof found! 0.34/0.86 % SZS status Theorem 0.34/0.86 % SZS output start CNFRefutation 0.34/0.86 thf(decl_sort1, type, set_Product_prod_b_b: $tType). 0.34/0.86 thf(decl_sort2, type, b: $tType). 0.34/0.86 thf(decl_sort3, type, set_b: $tType). 0.34/0.86 thf(decl_sort4, type, product_prod_b_b: $tType). 0.34/0.86 thf(decl_sort5, type, a: $tType). 0.34/0.86 thf(decl_sort6, type, labeled_graph_a_b: $tType). 0.34/0.86 thf(decl_28, type, equiv_equiv_b: set_b > set_Product_prod_b_b > $o). 0.34/0.86 thf(decl_38, type, getRel_a_b: a > labeled_graph_a_b > set_Product_prod_b_b). 0.34/0.86 thf(decl_50, type, labeled_vertices_a_b: labeled_graph_a_b > set_b). 0.34/0.86 thf(decl_134, type, product_Pair_b_b: b > b > product_prod_b_b). 0.34/0.86 thf(decl_149, type, refl_on_b: set_b > set_Product_prod_b_b > $o). 0.34/0.86 thf(decl_150, type, sym_b: set_Product_prod_b_b > $o). 0.34/0.86 thf(decl_158, type, trans_b: set_Product_prod_b_b > $o). 0.34/0.86 thf(decl_220, type, member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o). 0.34/0.86 thf(decl_225, type, g: labeled_graph_a_b). 0.34/0.86 thf(decl_226, type, i: a). 0.34/0.86 thf(decl_228, type, y: b). 0.34/0.86 thf(decl_229, type, z: b). 0.34/0.86 thf(fact_264_equivE, axiom, ![X5:set_b, X6:set_Product_prod_b_b]:(((equiv_equiv_b @ X5 @ X6)=>~(((refl_on_b @ X5 @ X6)=>((sym_b @ X6)=>~((trans_b @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.DGZxdwvMDc/E---3.1_1197869.p', fact_264_equivE)). 0.34/0.86 thf(conj_0, conjecture, (member1285940496od_b_b @ (product_Pair_b_b @ z @ y) @ (getRel_a_b @ i @ g)), file('/export/starexec/sandbox2/tmp/tmp.DGZxdwvMDc/E---3.1_1197869.p', conj_0)). 0.34/0.86 thf(fact_251_symD, axiom, ![X6:set_Product_prod_b_b, X409:b, X410:b]:((((member1285940496od_b_b @ (product_Pair_b_b @ X410 @ X409) @ X6)<=(member1285940496od_b_b @ (product_Pair_b_b @ X409 @ X410) @ X6))<=(sym_b @ X6))), file('/export/starexec/sandbox2/tmp/tmp.DGZxdwvMDc/E---3.1_1197869.p', fact_251_symD)). 0.34/0.86 thf(fact_4_eq, axiom, (equiv_equiv_b @ (labeled_vertices_a_b @ g) @ (getRel_a_b @ i @ g)), file('/export/starexec/sandbox2/tmp/tmp.DGZxdwvMDc/E---3.1_1197869.p', fact_4_eq)). 0.34/0.86 thf(fact_1_aI, axiom, (member1285940496od_b_b @ (product_Pair_b_b @ y @ z) @ (getRel_a_b @ i @ g)), file('/export/starexec/sandbox2/tmp/tmp.DGZxdwvMDc/E---3.1_1197869.p', fact_1_aI)). 0.34/0.86 thf(c_0_5, plain, ![X5:set_b, X6:set_Product_prod_b_b]:(((equiv_equiv_b @ X5 @ X6)=>~(((refl_on_b @ X5 @ X6)=>((sym_b @ X6)=>~(trans_b @ X6)))))), inference(fof_simplification,[status(thm)],[fact_264_equivE])). 0.34/0.86 thf(c_0_6, negated_conjecture, ~((member1285940496od_b_b @ (product_Pair_b_b @ z @ y) @ (getRel_a_b @ i @ g))), inference(assume_negation,[status(cth)],[conj_0])). 0.34/0.86 thf(c_0_7, plain, ![X6:set_Product_prod_b_b, X409:b, X410:b]:(((sym_b @ X6)=>((member1285940496od_b_b @ (product_Pair_b_b @ X409 @ X410) @ X6)=>(member1285940496od_b_b @ (product_Pair_b_b @ X410 @ X409) @ X6)))), inference(fof_simplification,[status(thm)],[fact_251_symD])). 0.34/0.86 thf(c_0_8, plain, ![X1501:set_b, X1502:set_Product_prod_b_b]:((((refl_on_b @ X1501 @ X1502)|~(equiv_equiv_b @ X1501 @ X1502))&(((sym_b @ X1502)|~(equiv_equiv_b @ X1501 @ X1502))&((trans_b @ X1502)|~(equiv_equiv_b @ X1501 @ X1502))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.34/0.86 thf(c_0_9, negated_conjecture, ~(member1285940496od_b_b @ (product_Pair_b_b @ z @ y) @ (getRel_a_b @ i @ g)), inference(fof_simplification,[status(thm)],[c_0_6])). 0.34/0.86 thf(c_0_10, plain, ![X1576:set_Product_prod_b_b, X1577:b, X1578:b]:((~(sym_b @ X1576)|(~(member1285940496od_b_b @ (product_Pair_b_b @ X1577 @ X1578) @ X1576)|(member1285940496od_b_b @ (product_Pair_b_b @ X1578 @ X1577) @ X1576)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 0.34/0.86 thf(c_0_11, plain, ![X5:set_b, X6:set_Product_prod_b_b]:(((sym_b @ X6)|~((equiv_equiv_b @ X5 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.34/0.86 thf(c_0_12, plain, (equiv_equiv_b @ (labeled_vertices_a_b @ g) @ (getRel_a_b @ i @ g)), inference(split_conjunct,[status(thm)],[fact_4_eq])). 0.34/0.86 thf(c_0_13, negated_conjecture, ~(member1285940496od_b_b @ (product_Pair_b_b @ z @ y) @ (getRel_a_b @ i @ g)), inference(fof_nnf,[status(thm)],[c_0_9])). 0.34/0.86 thf(c_0_14, plain, ![X9:b, X8:b, X6:set_Product_prod_b_b]:(((member1285940496od_b_b @ (product_Pair_b_b @ X9 @ X8) @ X6)|~((sym_b @ X6))|~((member1285940496od_b_b @ (product_Pair_b_b @ X8 @ X9) @ X6)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.34/0.86 thf(c_0_15, plain, (member1285940496od_b_b @ (product_Pair_b_b @ y @ z) @ (getRel_a_b @ i @ g)), inference(split_conjunct,[status(thm)],[fact_1_aI])). 0.34/0.86 thf(c_0_16, plain, (sym_b @ (getRel_a_b @ i @ g)), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.34/0.86 thf(c_0_17, negated_conjecture, ~((member1285940496od_b_b @ (product_Pair_b_b @ z @ y) @ (getRel_a_b @ i @ g))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.34/0.86 thf(c_0_18, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])]), c_0_17]), ['proof']). 0.34/0.86 % SZS output end CNFRefutation 0.34/0.86 % Parsed axioms : 639 0.34/0.86 % Removed by relevancy pruning/SinE : 398 0.34/0.86 % Initial clauses : 363 0.34/0.86 % Removed in clause preprocessing : 18 0.34/0.86 % Initial clauses in saturation : 345 0.34/0.86 % Processed clauses : 1254 0.34/0.86 % ...of these trivial : 50 0.34/0.86 % ...subsumed : 755 0.34/0.86 % ...remaining for further processing : 449 0.34/0.86 % Other redundant clauses eliminated : 164 0.34/0.86 % Clauses deleted for lack of memory : 0 0.34/0.86 % Backward-subsumed : 4 0.34/0.86 % Backward-rewritten : 42 0.34/0.86 % Generated clauses : 3387 0.34/0.86 % ...of the previous two non-redundant : 2089 0.34/0.86 % ...aggressively subsumed : 0 0.34/0.86 % Contextual simplify-reflections : 1 0.34/0.86 % Paramodulations : 3204 0.34/0.86 % Factorizations : 2 0.34/0.86 % NegExts : 0 0.34/0.86 % Equation resolutions : 180 0.34/0.86 % Disequality decompositions : 0 0.34/0.86 % Total rewrite steps : 1278 0.34/0.86 % ...of those cached : 1079 0.34/0.86 % Propositional unsat checks : 0 0.34/0.86 % Propositional check models : 0 0.34/0.86 % Propositional check unsatisfiable : 0 0.34/0.86 % Propositional clauses : 0 0.34/0.86 % Propositional clauses after purity: 0 0.34/0.86 % Propositional unsat core size : 0 0.34/0.86 % Propositional preprocessing time : 0.000 0.34/0.86 % Propositional encoding time : 0.000 0.34/0.86 % Propositional solver time : 0.000 0.34/0.86 % Success case prop preproc time : 0.000 0.34/0.86 % Success case prop encoding time : 0.000 0.34/0.86 % Success case prop solver time : 0.000 0.34/0.86 % Current number of processed clauses : 375 0.34/0.86 % Positive orientable unit clauses : 120 0.34/0.86 % Positive unorientable unit clauses: 1 0.34/0.86 % Negative unit clauses : 6 0.34/0.86 % Non-unit-clauses : 248 0.34/0.86 % Current number of unprocessed clauses: 1127 0.34/0.86 % ...number of literals in the above : 2952 0.34/0.86 % Current number of archived formulas : 0 0.34/0.86 % Current number of archived clauses : 46 0.34/0.86 % Clause-clause subsumption calls (NU) : 14670 0.34/0.86 % Rec. Clause-clause subsumption calls : 13428 0.34/0.86 % Non-unit clause-clause subsumptions : 718 0.34/0.86 % Unit Clause-clause subsumption calls : 1393 0.34/0.86 % Rewrite failures with RHS unbound : 0 0.34/0.86 % BW rewrite match attempts : 81 0.34/0.86 % BW rewrite match successes : 44 0.34/0.86 % Condensation attempts : 0 0.34/0.86 % Condensation successes : 0 0.34/0.86 % Termbank termtop insertions : 59174 0.34/0.86 % Search garbage collected termcells : 9827 0.34/0.86 0.34/0.86 % ------------------------------------------------- 0.34/0.86 % User time : 0.165 s 0.34/0.86 % System time : 0.014 s 0.34/0.86 % Total time : 0.179 s 0.34/0.86 % Maximum resident set size: 6380 pages 0.34/0.86 0.34/0.86 % ------------------------------------------------- 0.34/0.86 % User time : 0.199 s 0.34/0.86 % System time : 0.024 s 0.34/0.86 % Total time : 0.222 s 0.34/0.86 % Maximum resident set size: 6144 pages 0.34/0.86 % E exiting 0.34/0.86 EOF