0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n023.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 02:08:34 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.52 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.CLjY6ICWrx/E---3.1_31044.p 296.83/38.02 # Version: 3.0.0-ho 296.83/38.02 # Preprocessing class: HSLSSMSMSSLNSSA. 296.83/38.02 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 296.83/38.02 # Starting ehoh_best8 with 960s (4) cores 296.83/38.02 # Starting new_ho_10_cnf2 with 480s (2) cores 296.83/38.02 # Starting post_as_ho6 with 240s (1) cores 296.83/38.02 # Starting new_bool_5 with 240s (1) cores 296.83/38.02 # ehoh_best8 with pid 31236 completed with status 0 296.83/38.02 # Result found by ehoh_best8 296.83/38.02 # Preprocessing class: HSLSSMSMSSLNSSA. 296.83/38.02 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 296.83/38.02 # Starting ehoh_best8 with 960s (4) cores 296.83/38.02 # No SInE strategy applied 296.83/38.02 # Search class: HGHSM-SMLM32-MSSFFSBN 296.83/38.02 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 296.83/38.02 # Starting full_lambda_7 with 384s (1) cores 296.83/38.02 # Starting ehoh_best8 with 97s (1) cores 296.83/38.02 # Starting lpo8_lambda_fix with 121s (1) cores 296.83/38.02 # Starting pre_casc_10 with 121s (1) cores 296.83/38.02 # lpo8_lambda_fix with pid 31253 completed with status 0 296.83/38.02 # Result found by lpo8_lambda_fix 296.83/38.02 # Preprocessing class: HSLSSMSMSSLNSSA. 296.83/38.02 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 296.83/38.02 # Starting ehoh_best8 with 960s (4) cores 296.83/38.02 # No SInE strategy applied 296.83/38.02 # Search class: HGHSM-SMLM32-MSSFFSBN 296.83/38.02 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 296.83/38.02 # Starting full_lambda_7 with 384s (1) cores 296.83/38.02 # Starting ehoh_best8 with 97s (1) cores 296.83/38.02 # Starting lpo8_lambda_fix with 121s (1) cores 296.83/38.02 # Preprocessing time : 0.043 s 296.83/38.02 # Presaturation interreduction done 296.83/38.02 296.83/38.02 # Proof found! 296.83/38.02 # SZS status Theorem 296.83/38.02 # SZS output start CNFRefutation 296.83/38.02 thf(decl_sort1, type, set_real: $tType). 296.83/38.02 thf(decl_sort2, type, poly_real: $tType). 296.83/38.02 thf(decl_sort3, type, real: $tType). 296.83/38.02 thf(decl_27, type, finite_finite_real: set_real > $o). 296.83/38.02 thf(decl_38, type, zero_zero_real: real). 296.83/38.02 thf(decl_44, type, ord_less_real: real > real > $o). 296.83/38.02 thf(decl_54, type, ord_less_eq_set_real: set_real > set_real > $o). 296.83/38.02 thf(decl_62, type, poly_real2: poly_real > real > real). 296.83/38.02 thf(decl_70, type, collect_real: (real > $o) > set_real). 296.83/38.02 thf(decl_78, type, a: real). 296.83/38.02 thf(decl_80, type, b: real). 296.83/38.02 thf(decl_82, type, p: poly_real). 296.83/38.02 thf(decl_120, type, esk38_2: (real > $o) > (real > $o) > real). 296.83/38.02 thf(decl_306, type, epred9_3: real > real > poly_real > real > $o). 296.83/38.02 thf(decl_312, type, epred15_0: real > $o). 296.83/38.02 thf(fact_305_Collect__mono, axiom, ![X135:real > $o, X136:real > $o]:((![X18:real]:(((X135 @ X18)=>(X136 @ X18)))=>(ord_less_eq_set_real @ (collect_real @ X135) @ (collect_real @ X136)))), file('/export/starexec/sandbox2/tmp/tmp.CLjY6ICWrx/E---3.1_31044.p', fact_305_Collect__mono)). 296.83/38.02 thf(conj_0, conjecture, (finite_finite_real @ (collect_real @ (^[X338:real]:(((((poly_real2 @ p @ X338)=(zero_zero_real))&(ord_less_real @ X338 @ b))&(ord_less_real @ a @ X338)))))), file('/export/starexec/sandbox2/tmp/tmp.CLjY6ICWrx/E---3.1_31044.p', conj_0)). 296.83/38.02 thf(fact_91_rev__finite__subset, axiom, ![X116:set_real, X13:set_real]:((((ord_less_eq_set_real @ X13 @ X116)=>(finite_finite_real @ X13))<=(finite_finite_real @ X116))), file('/export/starexec/sandbox2/tmp/tmp.CLjY6ICWrx/E---3.1_31044.p', fact_91_rev__finite__subset)). 296.83/38.02 thf(fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062, axiom, (finite_finite_real @ (collect_real @ (^[X409:real]:(((poly_real2 @ p @ X409)=(zero_zero_real)))))), file('/export/starexec/sandbox2/tmp/tmp.CLjY6ICWrx/E---3.1_31044.p', fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062)). 296.83/38.02 thf(c_0_4, plain, ![X1881:real > $o, X1882:real > $o]:((((X1881 @ (esk38_2 @ X1881 @ X1882))|(ord_less_eq_set_real @ (collect_real @ X1881) @ (collect_real @ X1882)))&(~(X1882 @ (esk38_2 @ X1881 @ X1882))|(ord_less_eq_set_real @ (collect_real @ X1881) @ (collect_real @ X1882))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_305_Collect__mono])])])])])). 296.83/38.02 thf(c_0_5, plain, ![X2849:real]:(((~(epred15_0 @ X2849)|((poly_real2 @ p @ X2849)=(zero_zero_real)))&(((poly_real2 @ p @ X2849)!=(zero_zero_real))|(epred15_0 @ X2849)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])). 296.83/38.02 thf(c_0_6, plain, ![X2831:real, X2832:poly_real, X2833:real, X2834:real]:(((((((poly_real2 @ X2832 @ X2831)=(zero_zero_real))|~(epred9_3 @ X2834 @ X2833 @ X2832 @ X2831))&((ord_less_real @ X2831 @ X2833)|~(epred9_3 @ X2834 @ X2833 @ X2832 @ X2831)))&((ord_less_real @ X2834 @ X2831)|~(epred9_3 @ X2834 @ X2833 @ X2832 @ X2831)))&(((poly_real2 @ X2832 @ X2831)!=(zero_zero_real))|~(ord_less_real @ X2831 @ X2833)|~(ord_less_real @ X2834 @ X2831)|(epred9_3 @ X2834 @ X2833 @ X2832 @ X2831)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])). 296.83/38.02 thf(c_0_7, negated_conjecture, ~(finite_finite_real @ (collect_real @ (^[Z0/* 8 */:real]:(((((poly_real2 @ p @ Z0)=(zero_zero_real))&(ord_less_real @ Z0 @ b))&(ord_less_real @ a @ Z0)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 296.83/38.02 thf(c_0_8, plain, ![X116:set_real, X13:set_real]:(((finite_finite_real @ X116)=>((ord_less_eq_set_real @ X13 @ X116)=>(finite_finite_real @ X13)))), inference(fof_simplification,[status(thm)],[fact_91_rev__finite__subset])). 296.83/38.02 thf(c_0_9, plain, ![X35:real > $o, X34:real > $o]:(((ord_less_eq_set_real @ (collect_real @ X35) @ (collect_real @ X34))|~((X34 @ (esk38_2 @ X35 @ X34))))), inference(split_conjunct,[status(thm)],[c_0_4])). 296.83/38.02 thf(c_0_10, plain, ![X3:real]:(((epred15_0 @ X3)|((poly_real2 @ p @ X3)!=(zero_zero_real)))), inference(split_conjunct,[status(thm)],[c_0_5])). 296.83/38.02 thf(c_0_11, plain, ![X4:real, X77:poly_real, X5:real, X3:real]:((((poly_real2 @ X77 @ X3)=(zero_zero_real))|~((epred9_3 @ X4 @ X5 @ X77 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_6])). 296.83/38.02 thf(c_0_12, plain, ![X34:real > $o, X35:real > $o]:(((X34 @ (esk38_2 @ X34 @ X35))|(ord_less_eq_set_real @ (collect_real @ X34) @ (collect_real @ X35)))), inference(split_conjunct,[status(thm)],[c_0_4])). 296.83/38.02 thf(c_0_13, plain, (finite_finite_real @ (collect_real @ (^[Z0/* 3 */:real]:(((poly_real2 @ p @ Z0)=(zero_zero_real)))))), inference(fof_simplification,[status(thm)],[fact_0__092_060open_062finite_A_123x_O_Apoly_Ap_Ax_A_061_A0_125_092_060close_062])). 296.83/38.02 thf(c_0_14, plain, ![X2786:real]:(((epred15_0 @ X2786)<=>((poly_real2 @ p @ X2786)=(zero_zero_real)))), introduced(definition)). 296.83/38.02 thf(c_0_15, negated_conjecture, ~(finite_finite_real @ (collect_real @ (^[Z0/* 8 */:real]:(((((poly_real2 @ p @ Z0)=(zero_zero_real))&(ord_less_real @ Z0 @ b))&(ord_less_real @ a @ Z0)))))), inference(fof_nnf,[status(thm)],[c_0_7])). 296.83/38.02 thf(c_0_16, plain, ![X2775:real, X93:poly_real, X4:real, X3:real]:(((epred9_3 @ X3 @ X4 @ X93 @ X2775)<=>((((poly_real2 @ X93 @ X2775)=(zero_zero_real))&(ord_less_real @ X2775 @ X4))&(ord_less_real @ X3 @ X2775)))), introduced(definition)). 296.83/38.02 thf(c_0_17, plain, ![X1844:set_real, X1845:set_real]:((~(finite_finite_real @ X1844)|(~(ord_less_eq_set_real @ X1845 @ X1844)|(finite_finite_real @ X1845)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 296.83/38.02 thf(c_0_18, plain, ![X34:real > $o]:(((ord_less_eq_set_real @ (collect_real @ X34) @ (collect_real @ epred15_0))|((poly_real2 @ p @ (esk38_2 @ X34 @ epred15_0))!=(zero_zero_real)))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 296.83/38.02 thf(c_0_19, plain, ![X3:real, X4:real, X77:poly_real, X34:real > $o]:((((poly_real2 @ X77 @ (esk38_2 @ (epred9_3 @ X3 @ X4 @ X77) @ X34))=(zero_zero_real))|(ord_less_eq_set_real @ (collect_real @ (epred9_3 @ X3 @ X4 @ X77)) @ (collect_real @ X34)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 296.83/38.02 thf(c_0_20, plain, (((finite_finite_real @ (collect_real @ epred15_0)))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13]), c_0_14])). 296.83/38.02 thf(c_0_21, negated_conjecture, ~((((finite_finite_real @ (collect_real @ (epred9_3 @ a @ b @ p))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_16])). 296.83/38.02 thf(c_0_22, plain, ![X14:set_real, X13:set_real]:(((finite_finite_real @ X14)|~((finite_finite_real @ X13))|~((ord_less_eq_set_real @ X14 @ X13)))), inference(split_conjunct,[status(thm)],[c_0_17])). 296.83/38.02 thf(c_0_23, plain, ![X3:real, X4:real]:((ord_less_eq_set_real @ (collect_real @ (epred9_3 @ X3 @ X4 @ p)) @ (collect_real @ epred15_0))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 296.83/38.02 thf(c_0_24, plain, (finite_finite_real @ (collect_real @ epred15_0)), inference(cn,[status(thm)],[c_0_20])). 296.83/38.02 thf(c_0_25, negated_conjecture, ~((finite_finite_real @ (collect_real @ (epred9_3 @ a @ b @ p)))), inference(cn,[status(thm)],[c_0_21])). 296.83/38.02 thf(c_0_26, plain, ![X3:real, X4:real]:((finite_finite_real @ (collect_real @ (epred9_3 @ X3 @ X4 @ p)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])). 296.83/38.02 thf(c_0_27, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])]), ['proof']). 296.83/38.02 # SZS output end CNFRefutation 296.83/38.02 # Parsed axioms : 426 296.83/38.02 # Removed by relevancy pruning/SinE : 0 296.83/38.02 # Initial clauses : 1156 296.83/38.02 # Removed in clause preprocessing : 124 296.83/38.02 # Initial clauses in saturation : 1032 296.83/38.02 # Processed clauses : 49551 296.83/38.02 # ...of these trivial : 2018 296.83/38.02 # ...subsumed : 25012 296.83/38.02 # ...remaining for further processing : 22521 296.83/38.02 # Other redundant clauses eliminated : 1322 296.83/38.02 # Clauses deleted for lack of memory : 0 296.83/38.02 # Backward-subsumed : 359 296.83/38.02 # Backward-rewritten : 41 296.83/38.02 # Generated clauses : 1325677 296.83/38.02 # ...of the previous two non-redundant : 1233916 296.83/38.02 # ...aggressively subsumed : 0 296.83/38.02 # Contextual simplify-reflections : 8 296.83/38.02 # Paramodulations : 1308184 296.83/38.02 # Factorizations : 234 296.83/38.02 # NegExts : 213 296.83/38.02 # Equation resolutions : 1328 296.83/38.02 # Disequality decompositions : 0 296.83/38.02 # Total rewrite steps : 121374 296.83/38.02 # ...of those cached : 117000 296.83/38.02 # Propositional unsat checks : 0 296.83/38.02 # Propositional check models : 0 296.83/38.02 # Propositional check unsatisfiable : 0 296.83/38.02 # Propositional clauses : 0 296.83/38.02 # Propositional clauses after purity: 0 296.83/38.02 # Propositional unsat core size : 0 296.83/38.02 # Propositional preprocessing time : 0.000 296.83/38.02 # Propositional encoding time : 0.000 296.83/38.02 # Propositional solver time : 0.000 296.83/38.02 # Success case prop preproc time : 0.000 296.83/38.02 # Success case prop encoding time : 0.000 296.83/38.02 # Success case prop solver time : 0.000 296.83/38.02 # Current number of processed clauses : 21255 296.83/38.02 # Positive orientable unit clauses : 5220 296.83/38.02 # Positive unorientable unit clauses: 0 296.83/38.02 # Negative unit clauses : 8472 296.83/38.02 # Non-unit-clauses : 7563 296.83/38.02 # Current number of unprocessed clauses: 1183724 296.83/38.02 # ...number of literals in the above : 3191686 296.83/38.02 # Current number of archived formulas : 0 296.83/38.02 # Current number of archived clauses : 1174 296.83/38.02 # Clause-clause subsumption calls (NU) : 4433311 296.83/38.02 # Rec. Clause-clause subsumption calls : 3024862 296.83/38.02 # Non-unit clause-clause subsumptions : 5027 296.83/38.02 # Unit Clause-clause subsumption calls : 7083377 296.83/38.02 # Rewrite failures with RHS unbound : 0 296.83/38.02 # BW rewrite match attempts : 28112 296.83/38.02 # BW rewrite match successes : 126 296.83/38.02 # Condensation attempts : 49551 296.83/38.02 # Condensation successes : 42 296.83/38.02 # Termbank termtop insertions : 30278646 296.83/38.02 # Search garbage collected termcells : 21200 296.83/38.02 296.83/38.02 # ------------------------------------------------- 296.83/38.02 # User time : 36.299 s 296.83/38.02 # System time : 0.710 s 296.83/38.02 # Total time : 37.009 s 296.83/38.02 # Maximum resident set size: 6724 pages 296.83/38.02 296.83/38.02 # ------------------------------------------------- 296.83/38.02 # User time : 145.078 s 296.83/38.02 # System time : 2.697 s 296.83/38.02 # Total time : 147.775 s 296.83/38.02 # Maximum resident set size: 2684 pages 296.83/38.02 % E exiting 296.83/38.02 % E exiting 296.83/38.02 EOF