0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.17 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.17/0.38 % Computer : n006.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1200 0.17/0.38 % WCLimit : 120 0.17/0.38 % DateTime : Tue Jul 13 12:43:55 EDT 2021 0.17/0.38 % CPUTime : 0.17/0.38 % Number of cores: 8 0.17/0.39 % Python version: Python 3.6.8 0.17/0.39 # Version: 2.6rc1-ho 0.17/0.41 # No SInE strategy applied 0.17/0.41 # Trying AutoSched0 for 59 seconds 7.24/7.43 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d 7.24/7.43 # and selection function SelectCQIPrecWNTNp. 7.24/7.43 # 7.24/7.43 # Preprocessing time : 0.095 s 7.24/7.43 # Presaturation interreduction done 7.24/7.43 7.24/7.43 # Proof found! 7.24/7.43 # SZS status Theorem 7.24/7.43 # SZS output start CNFRefutation 7.24/7.43 thf(conj_1, hypothesis, ![X27:set_Pr619177522elle_U, X28:nat > list_P796095576elle_U > $o, X29:nat > prover_Mirabelle_U]:(prover1847600056is_env @ (produc1069574002le_U_o @ X27 @ X28) @ X29=>prover1282070756_SEval @ (produc1069574002le_U_o @ X27 @ X28) @ X29 @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 7.24/7.43 thf(fact_193_surj__pair, axiom, ![X6:produc227817602le_U_o]:?[X7:set_Pr619177522elle_U, X8:nat > list_P796095576elle_U > $o]:(X6)=(produc1069574002le_U_o @ X7 @ X8), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_193_surj__pair)). 7.24/7.43 thf(fact_23_Svalid__def, axiom, (prover1539709396Svalid)=(^[X528:list_P512754263e_form]:![X529:produc227817602le_U_o, X530:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ X529 @ X530 @ X528<=prover1847600056is_env @ X529 @ X530)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_23_Svalid__def)). 7.24/7.43 thf(conj_2, conjecture, ![X184:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ (produc1069574002le_U_o @ a @ b) @ X184 @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s)|~(prover1847600056is_env @ (produc1069574002le_U_o @ a @ b) @ X184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)). 7.24/7.43 thf(fact_4_sound__FAll, axiom, ![X353:nat, X354:prover1687215943e_form, X355:list_P512754263e_form]:((prover1539709396Svalid @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X354) @ X355)<=prover1539709396Svalid @ (append1038020460e_form @ X355 @ (cons_P1475164433e_form @ (prover1577896257_finst @ X354 @ X353) @ nil_Pr1384483009e_form)))<=~(member_nat @ X353 @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X354) @ X355))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4_sound__FAll)). 7.24/7.43 thf(conj_0, hypothesis, ~(member_nat @ u @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 7.24/7.43 thf(c_0_6, hypothesis, ![X2300:set_Pr619177522elle_U, X2301:nat > list_P796095576elle_U > $o, X2302:nat > prover_Mirabelle_U]:(~prover1847600056is_env @ (produc1069574002le_U_o @ X2300 @ X2301) @ X2302|prover1282070756_SEval @ (produc1069574002le_U_o @ X2300 @ X2301) @ X2302 @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])). 7.24/7.43 thf(c_0_7, plain, ![X2278:produc227817602le_U_o]:(X2278)=(produc1069574002le_U_o @ (esk5_1 @ X2278) @ (epred2_1 @ X2278)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_193_surj__pair])])). 7.24/7.43 thf(c_0_8, plain, ![X528:list_P512754263e_form]:(prover1539709396Svalid @ X528<=>![X2267:produc227817602le_U_o, X2268:nat > prover_Mirabelle_U]:(prover1847600056is_env @ X2267 @ X2268=>prover1282070756_SEval @ X2267 @ X2268 @ X528)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_23_Svalid__def])])). 7.24/7.43 thf(c_0_9, negated_conjecture, ~(![X184:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ (produc1069574002le_U_o @ a @ b) @ X184 @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s)|~prover1847600056is_env @ (produc1069574002le_U_o @ a @ b) @ X184)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 7.24/7.43 thf(c_0_10, hypothesis, ![X7:set_Pr619177522elle_U, X8:nat > list_P796095576elle_U > $o, X29:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ (produc1069574002le_U_o @ X7 @ X8) @ X29 @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form))|~prover1847600056is_env @ (produc1069574002le_U_o @ X7 @ X8) @ X29), inference(split_conjunct,[status(thm)],[c_0_6])). 7.24/7.43 thf(c_0_11, plain, ![X6:produc227817602le_U_o]:(X6)=(produc1069574002le_U_o @ (esk5_1 @ X6) @ (epred2_1 @ X6)), inference(split_conjunct,[status(thm)],[c_0_7])). 7.24/7.43 thf(c_0_12, plain, ![X3155:list_P512754263e_form, X3156:produc227817602le_U_o, X3157:nat > prover_Mirabelle_U, X3158:list_P512754263e_form]:((~prover1539709396Svalid @ X3155|(~prover1847600056is_env @ X3156 @ X3157|prover1282070756_SEval @ X3156 @ X3157 @ X3155))&((prover1847600056is_env @ (esk259_1 @ X3158) @ (esk260_1 @ X3158)|prover1539709396Svalid @ X3158)&(~prover1282070756_SEval @ (esk259_1 @ X3158) @ (esk260_1 @ X3158) @ X3158|prover1539709396Svalid @ X3158))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])). 7.24/7.43 thf(c_0_13, negated_conjecture, (~prover1282070756_SEval @ (produc1069574002le_U_o @ a @ b) @ esk84_0 @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s)&prover1847600056is_env @ (produc1069574002le_U_o @ a @ b) @ esk84_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 7.24/7.43 thf(c_0_14, plain, ![X353:nat, X354:prover1687215943e_form, X355:list_P512754263e_form]:(~member_nat @ X353 @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X354) @ X355)))=>(prover1539709396Svalid @ (append1038020460e_form @ X355 @ (cons_P1475164433e_form @ (prover1577896257_finst @ X354 @ X353) @ nil_Pr1384483009e_form))=>prover1539709396Svalid @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X354) @ X355))), inference(fof_simplification,[status(thm)],[fact_4_sound__FAll])). 7.24/7.43 thf(c_0_15, hypothesis, ![X6:produc227817602le_U_o, X29:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ X6 @ X29 @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form))|~prover1847600056is_env @ X6 @ X29), inference(spm,[status(thm)],[c_0_10, c_0_11])). 7.24/7.43 thf(c_0_16, plain, ![X1:list_P512754263e_form]:(prover1847600056is_env @ (esk259_1 @ X1) @ (esk260_1 @ X1)|prover1539709396Svalid @ X1), inference(split_conjunct,[status(thm)],[c_0_12])). 7.24/7.43 thf(c_0_17, plain, ![X1:list_P512754263e_form, X6:produc227817602le_U_o, X29:nat > prover_Mirabelle_U]:(prover1282070756_SEval @ X6 @ X29 @ X1|~prover1539709396Svalid @ X1|~prover1847600056is_env @ X6 @ X29), inference(split_conjunct,[status(thm)],[c_0_12])). 7.24/7.43 thf(c_0_18, negated_conjecture, prover1847600056is_env @ (produc1069574002le_U_o @ a @ b) @ esk84_0, inference(split_conjunct,[status(thm)],[c_0_13])). 7.24/7.43 thf(c_0_19, plain, ![X2846:nat, X2847:prover1687215943e_form, X2848:list_P512754263e_form]:(member_nat @ X2846 @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X2847) @ X2848)))|(~prover1539709396Svalid @ (append1038020460e_form @ X2848 @ (cons_P1475164433e_form @ (prover1577896257_finst @ X2847 @ X2846) @ nil_Pr1384483009e_form))|prover1539709396Svalid @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X2847) @ X2848))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 7.24/7.43 thf(c_0_20, plain, ![X1:list_P512754263e_form]:(prover1539709396Svalid @ X1|~prover1282070756_SEval @ (esk259_1 @ X1) @ (esk260_1 @ X1) @ X1), inference(split_conjunct,[status(thm)],[c_0_12])). 7.24/7.43 thf(c_0_21, hypothesis, ![X1:list_P512754263e_form]:(prover1282070756_SEval @ (esk259_1 @ X1) @ (esk260_1 @ X1) @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form))|prover1539709396Svalid @ X1), inference(spm,[status(thm)],[c_0_15, c_0_16])). 7.24/7.43 thf(c_0_22, hypothesis, ~member_nat @ u @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s))), inference(fof_simplification,[status(thm)],[conj_0])). 7.24/7.43 thf(c_0_23, negated_conjecture, ~prover1282070756_SEval @ (produc1069574002le_U_o @ a @ b) @ esk84_0 @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s), inference(split_conjunct,[status(thm)],[c_0_13])). 7.24/7.43 thf(c_0_24, negated_conjecture, ![X1:list_P512754263e_form]:(prover1282070756_SEval @ (produc1069574002le_U_o @ a @ b) @ esk84_0 @ X1|~prover1539709396Svalid @ X1), inference(spm,[status(thm)],[c_0_17, c_0_18])). 7.24/7.43 thf(c_0_25, plain, ![X1:list_P512754263e_form, X3:prover1687215943e_form, X16:nat]:(member_nat @ X16 @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X3) @ X1)))|prover1539709396Svalid @ (cons_P1475164433e_form @ (prover571163162e_FAll @ X3) @ X1)|~prover1539709396Svalid @ (append1038020460e_form @ X1 @ (cons_P1475164433e_form @ (prover1577896257_finst @ X3 @ X16) @ nil_Pr1384483009e_form))), inference(split_conjunct,[status(thm)],[c_0_19])). 7.24/7.43 thf(c_0_26, hypothesis, prover1539709396Svalid @ (append1038020460e_form @ s @ (cons_P1475164433e_form @ (prover1577896257_finst @ f @ u) @ nil_Pr1384483009e_form)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 7.24/7.43 thf(c_0_27, hypothesis, ~member_nat @ u @ (set_nat2 @ (prover_Mirabelle_sfv @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s))), inference(split_conjunct,[status(thm)],[c_0_22])). 7.24/7.43 thf(c_0_28, negated_conjecture, ~prover1539709396Svalid @ (cons_P1475164433e_form @ (prover571163162e_FAll @ f) @ s), inference(spm,[status(thm)],[c_0_23, c_0_24])). 7.24/7.43 thf(c_0_29, hypothesis, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28]), ['proof']). 7.24/7.43 # SZS output end CNFRefutation 7.24/7.43 # Proof object total steps : 30 7.24/7.43 # Proof object clause steps : 15 7.24/7.43 # Proof object formula steps : 15 7.24/7.43 # Proof object conjectures : 7 7.24/7.43 # Proof object clause conjectures : 4 7.24/7.43 # Proof object formula conjectures : 3 7.24/7.43 # Proof object initial clauses used : 9 7.24/7.43 # Proof object initial formulas used : 6 7.24/7.43 # Proof object generating inferences : 6 7.24/7.43 # Proof object simplifying inferences : 2 7.24/7.43 # Training examples: 0 positive, 0 negative 7.24/7.43 # Parsed axioms : 505 7.24/7.43 # Removed by relevancy pruning/SinE : 0 7.24/7.43 # Initial clauses : 922 7.24/7.43 # Removed in clause preprocessing : 161 7.24/7.43 # Initial clauses in saturation : 761 7.24/7.43 # Processed clauses : 46801 7.24/7.43 # ...of these trivial : 153 7.24/7.43 # ...subsumed : 38104 7.24/7.43 # ...remaining for further processing : 8544 7.24/7.43 # Other redundant clauses eliminated : 15089 7.24/7.43 # Clauses deleted for lack of memory : 0 7.24/7.43 # Backward-subsumed : 101 7.24/7.43 # Backward-rewritten : 39 7.24/7.43 # Generated clauses : 569581 7.24/7.43 # ...of the previous two non-trivial : 539118 7.24/7.43 # Contextual simplify-reflections : 116 7.24/7.43 # Paramodulations : 552499 7.24/7.43 # Factorizations : 3 7.24/7.43 # NegExts : 84 7.24/7.43 # Equation resolutions : 15171 7.24/7.43 # Propositional unsat checks : 1 7.24/7.43 # Propositional check models : 0 7.24/7.43 # Propositional check unsatisfiable : 0 7.24/7.43 # Propositional clauses : 0 7.24/7.43 # Propositional clauses after purity: 0 7.24/7.43 # Propositional unsat core size : 0 7.24/7.43 # Propositional preprocessing time : 0.000 7.24/7.43 # Propositional encoding time : 0.113 7.24/7.43 # Propositional solver time : 0.059 7.24/7.43 # Success case prop preproc time : 0.000 7.24/7.43 # Success case prop encoding time : 0.000 7.24/7.43 # Success case prop solver time : 0.000 7.24/7.43 # Current number of processed clauses : 7601 7.24/7.43 # Positive orientable unit clauses : 266 7.24/7.43 # Positive unorientable unit clauses: 8 7.24/7.43 # Negative unit clauses : 1208 7.24/7.43 # Non-unit-clauses : 6119 7.24/7.43 # Current number of unprocessed clauses: 493345 7.24/7.43 # ...number of literals in the above : 1512534 7.24/7.43 # Current number of archived formulas : 0 7.24/7.43 # Current number of archived clauses : 825 7.24/7.43 # Clause-clause subsumption calls (NU) : 4126857 7.24/7.43 # Rec. Clause-clause subsumption calls : 2977127 7.24/7.43 # Non-unit clause-clause subsumptions : 21876 7.24/7.43 # Unit Clause-clause subsumption calls : 237121 7.24/7.43 # Rewrite failures with RHS unbound : 0 7.24/7.43 # BW rewrite match attempts : 633 7.24/7.43 # BW rewrite match successes : 41 7.24/7.43 # Condensation attempts : 0 7.24/7.43 # Condensation successes : 0 7.24/7.43 # Termbank termtop insertions : 8984868 7.24/7.45 7.24/7.45 # ------------------------------------------------- 7.24/7.45 # User time : 6.797 s 7.24/7.45 # System time : 0.251 s 7.24/7.45 # Total time : 7.048 s 7.24/7.45 # Maximum resident set size: 2936 pages 7.24/7.45 EOF