0.05/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.14 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.36 % Computer : n002.cluster.edu 0.13/0.36 % Model : x86_64 x86_64 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.36 % Memory : 8042.1875MB 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.36 % CPULimit : 1920 0.13/0.36 % WCLimit : 240 0.13/0.36 % DateTime : Wed Jul 30 07:03:19 EDT 2025 0.13/0.36 % CPUTime : 0.21/0.52 Running higher-order theorem proving 0.34/0.57 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.HwpZnbalve/E---3.1_866.p 0.57/0.63 # Version: 3.0.0-ho 0.57/0.63 # Preprocessing class: HSLMSMSSSSLNSFA. 0.57/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.57/0.63 # Starting new_ho_10 with 1200s (5) cores 0.57/0.63 # Starting sh5l with 240s (1) cores 0.57/0.63 # Starting new_bool_1 with 240s (1) cores 0.57/0.63 # Starting new_bool_2 with 240s (1) cores 0.57/0.63 # new_bool_1 with pid 951 completed with status 0 0.57/0.63 # Result found by new_bool_1 0.57/0.63 # Preprocessing class: HSLMSMSSSSLNSFA. 0.57/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.57/0.63 # Starting new_ho_10 with 1200s (5) cores 0.57/0.63 # Starting sh5l with 240s (1) cores 0.57/0.63 # Starting new_bool_1 with 240s (1) cores 0.57/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.57/0.63 # Search class: HGHSM-FSLM33-DSFFFSBN 0.57/0.63 # partial match(1): HGHSM-FSLM33-MSFFFSBN 0.57/0.63 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.57/0.63 # Starting new_ho_10 with 130s (1) cores 0.57/0.63 # new_ho_10 with pid 954 completed with status 0 0.57/0.63 # Result found by new_ho_10 0.57/0.63 # Preprocessing class: HSLMSMSSSSLNSFA. 0.57/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.57/0.63 # Starting new_ho_10 with 1200s (5) cores 0.57/0.63 # Starting sh5l with 240s (1) cores 0.57/0.63 # Starting new_bool_1 with 240s (1) cores 0.57/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.57/0.63 # Search class: HGHSM-FSLM33-DSFFFSBN 0.57/0.63 # partial match(1): HGHSM-FSLM33-MSFFFSBN 0.57/0.63 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.57/0.63 # Starting new_ho_10 with 130s (1) cores 0.57/0.63 # Preprocessing time : 0.004 s 0.57/0.63 # Presaturation interreduction done 0.57/0.63 0.57/0.63 # Proof found! 0.57/0.63 # SZS status Theorem 0.57/0.63 # SZS output start CNFRefutation 0.57/0.63 thf(decl_sort1, type, set_Product_prod_a_a: $tType). 0.57/0.63 thf(decl_sort2, type, set_a: $tType). 0.57/0.63 thf(decl_sort3, type, a: $tType). 0.57/0.63 thf(decl_sort4, type, pair_p125712459t_unit: $tType). 0.57/0.63 thf(decl_42, type, finite179568208od_a_a: set_Product_prod_a_a > $o). 0.57/0.63 thf(decl_66, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 0.57/0.63 thf(decl_88, type, pair_p133601421t_unit: pair_p125712459t_unit > set_Product_prod_a_a). 0.57/0.63 thf(decl_93, type, pair_p1047056820t_unit: pair_p125712459t_unit > set_a). 0.57/0.63 thf(decl_108, type, product_Sigma_a_a: set_a > (a > set_a) > set_Product_prod_a_a). 0.57/0.63 thf(decl_128, type, g: pair_p125712459t_unit). 0.57/0.63 thf(conj_0, conjecture, (finite179568208od_a_a @ (pair_p133601421t_unit @ g)), file('/export/starexec/sandbox2/tmp/tmp.HwpZnbalve/E---3.1_866.p', conj_0)). 0.57/0.63 thf(fact_27_rev__finite__subset, axiom, ![X718:set_Product_prod_a_a, X719:set_Product_prod_a_a]:(((finite179568208od_a_a @ X718)=>((ord_le1824328871od_a_a @ X719 @ X718)=>(finite179568208od_a_a @ X719)))), file('/export/starexec/sandbox2/tmp/tmp.HwpZnbalve/E---3.1_866.p', fact_27_rev__finite__subset)). 0.57/0.63 thf(fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062, axiom, (ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[X23:a]:(pair_p1047056820t_unit @ g)))), file('/export/starexec/sandbox2/tmp/tmp.HwpZnbalve/E---3.1_866.p', fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062)). 0.57/0.63 thf(fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062, axiom, (finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[X23:a]:(pair_p1047056820t_unit @ g)))), file('/export/starexec/sandbox2/tmp/tmp.HwpZnbalve/E---3.1_866.p', fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062)). 0.57/0.63 thf(c_0_4, negated_conjecture, ~(finite179568208od_a_a @ (pair_p133601421t_unit @ g)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.57/0.63 thf(c_0_5, plain, ![X1313:set_Product_prod_a_a, X1314:set_Product_prod_a_a]:((~(finite179568208od_a_a @ X1313)|(~(ord_le1824328871od_a_a @ X1314 @ X1313)|(finite179568208od_a_a @ X1314)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_27_rev__finite__subset])])])). 0.57/0.63 thf(c_0_6, plain, (ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[Z0/* 93 */:a]:(pair_p1047056820t_unit @ g)))), inference(fof_simplification,[status(thm)],[fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062])). 0.57/0.63 thf(c_0_7, plain, (finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[Z0/* 93 */:a]:(pair_p1047056820t_unit @ g)))), inference(fof_simplification,[status(thm)],[fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062])). 0.57/0.63 thf(c_0_8, negated_conjecture, ~(finite179568208od_a_a @ (pair_p133601421t_unit @ g)), inference(fof_nnf,[status(thm)],[c_0_4])). 0.57/0.63 thf(c_0_9, plain, ![X13:set_Product_prod_a_a, X12:set_Product_prod_a_a]:(((finite179568208od_a_a @ X13)|~((finite179568208od_a_a @ X12))|~((ord_le1824328871od_a_a @ X13 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.57/0.63 thf(c_0_10, plain, (ord_le1824328871od_a_a @ (pair_p133601421t_unit @ g) @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[Z0/* 93 */:a]:(pair_p1047056820t_unit @ g)))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.57/0.63 thf(c_0_11, plain, (finite179568208od_a_a @ (product_Sigma_a_a @ (pair_p1047056820t_unit @ g) @ (^[Z0/* 93 */:a]:(pair_p1047056820t_unit @ g)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.57/0.63 thf(c_0_12, negated_conjecture, ~((finite179568208od_a_a @ (pair_p133601421t_unit @ g))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.57/0.63 thf(c_0_13, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])]), c_0_12]), ['proof']). 0.57/0.63 # SZS output end CNFRefutation 0.57/0.63 # Parsed axioms : 493 0.57/0.63 # Removed by relevancy pruning/SinE : 360 0.57/0.63 # Initial clauses : 261 0.57/0.63 # Removed in clause preprocessing : 11 0.57/0.63 # Initial clauses in saturation : 250 0.57/0.63 # Processed clauses : 297 0.57/0.63 # ...of these trivial : 12 0.57/0.63 # ...subsumed : 89 0.57/0.63 # ...remaining for further processing : 196 0.57/0.63 # Other redundant clauses eliminated : 49 0.57/0.63 # Clauses deleted for lack of memory : 0 0.57/0.63 # Backward-subsumed : 0 0.57/0.63 # Backward-rewritten : 0 0.57/0.63 # Generated clauses : 51 0.57/0.63 # ...of the previous two non-redundant : 38 0.57/0.63 # ...aggressively subsumed : 0 0.57/0.63 # Contextual simplify-reflections : 0 0.57/0.63 # Paramodulations : 2 0.57/0.63 # Factorizations : 0 0.57/0.63 # NegExts : 0 0.57/0.63 # Equation resolutions : 49 0.57/0.63 # Disequality decompositions : 0 0.57/0.63 # Total rewrite steps : 24 0.57/0.63 # ...of those cached : 17 0.57/0.63 # Propositional unsat checks : 0 0.57/0.63 # Propositional check models : 0 0.57/0.63 # Propositional check unsatisfiable : 0 0.57/0.63 # Propositional clauses : 0 0.57/0.63 # Propositional clauses after purity: 0 0.57/0.63 # Propositional unsat core size : 0 0.57/0.63 # Propositional preprocessing time : 0.000 0.57/0.63 # Propositional encoding time : 0.000 0.57/0.63 # Propositional solver time : 0.000 0.57/0.63 # Success case prop preproc time : 0.000 0.57/0.63 # Success case prop encoding time : 0.000 0.57/0.63 # Success case prop solver time : 0.000 0.57/0.63 # Current number of processed clauses : 9 0.57/0.63 # Positive orientable unit clauses : 5 0.57/0.63 # Positive unorientable unit clauses: 0 0.57/0.63 # Negative unit clauses : 1 0.57/0.63 # Non-unit-clauses : 3 0.57/0.63 # Current number of unprocessed clauses: 129 0.57/0.63 # ...number of literals in the above : 417 0.57/0.63 # Current number of archived formulas : 0 0.57/0.63 # Current number of archived clauses : 138 0.57/0.63 # Clause-clause subsumption calls (NU) : 2647 0.57/0.63 # Rec. Clause-clause subsumption calls : 1386 0.57/0.63 # Non-unit clause-clause subsumptions : 101 0.57/0.63 # Unit Clause-clause subsumption calls : 188 0.57/0.63 # Rewrite failures with RHS unbound : 0 0.57/0.63 # BW rewrite match attempts : 3 0.57/0.63 # BW rewrite match successes : 0 0.57/0.63 # Condensation attempts : 297 0.57/0.63 # Condensation successes : 12 0.57/0.63 # Termbank termtop insertions : 34472 0.57/0.63 # Search garbage collected termcells : 10300 0.57/0.63 0.57/0.63 # ------------------------------------------------- 0.57/0.63 # User time : 0.033 s 0.57/0.63 # System time : 0.006 s 0.57/0.63 # Total time : 0.039 s 0.57/0.63 # Maximum resident set size: 4084 pages 0.57/0.63 0.57/0.63 # ------------------------------------------------- 0.57/0.63 # User time : 0.050 s 0.57/0.63 # System time : 0.010 s 0.57/0.63 # Total time : 0.060 s 0.57/0.63 # Maximum resident set size: 3004 pages 0.57/0.63 % E exiting 0.57/0.63 % E exiting 0.57/0.63 EOF