0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.13 % 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 0.13/0.34 % Computer : n018.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 13:46:38 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 # Version: 2.6rc1-ho 0.13/0.35 # No SInE strategy applied 0.13/0.35 # Trying AutoSched0 for 59 seconds 8.61/8.86 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 8.61/8.86 # and selection function PSelectComplexExceptUniqMaxHorn. 8.61/8.86 # 8.61/8.86 # Preprocessing time : 0.066 s 8.61/8.86 # Presaturation interreduction done 8.61/8.86 8.61/8.86 # Proof found! 8.61/8.86 # SZS status Theorem 8.61/8.86 # SZS output start CNFRefutation 8.61/8.86 thf(fact_52_Iagree__sub, axiom, ![X495:set_Su111624115um_c_b, X496:set_Su111624115um_c_b, X1:denota723907260t_unit, X2:denota723907260t_unit]:(ord_le1404954451um_c_b @ X495 @ X496=>(denota896875430_a_c_b @ X1 @ X2 @ X495<=denota896875430_a_c_b @ X1 @ X2 @ X496)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_52_Iagree__sub)). 8.61/8.86 thf(fact_69_Collect__mem__eq, axiom, ![X452:set_Su111624115um_c_b]:(collec1166375742um_c_b @ (^[X453:sum_su1965225555um_c_b]:member973578748um_c_b @ X453 @ X452))=(X452), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_69_Collect__mem__eq)). 8.61/8.86 thf(fact_3_dfree__Times_Oprems_I2_J, axiom, denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ (^[X84:sum_su1965225555um_c_b]:?[X576:a]:(member_a @ X576 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))&(X84)=(sum_In811702836um_c_b @ X576)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_dfree__Times_Oprems_I2_J)). 8.61/8.86 thf(fact_8_Isubs_I1_J, axiom, ord_le1404954451um_c_b @ (collec1166375742um_c_b @ (^[X84:sum_su1965225555um_c_b]:?[X262:a]:((X84)=(sum_In811702836um_c_b @ X262)&member_a @ X262 @ (static_SIGT_a_b @ theta_1)))) @ (collec1166375742um_c_b @ (^[X84:sum_su1965225555um_c_b]:?[X263:a]:((X84)=(sum_In811702836um_c_b @ X263)&member_a @ X263 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_Isubs_I1_J)). 8.61/8.86 thf(conj_0, conjecture, denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ (^[X84:sum_su1965225555um_c_b]:?[X587:a]:((X84)=(sum_In811702836um_c_b @ X587)&member_a @ X587 @ (static_SIGT_a_b @ theta_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 8.61/8.86 thf(fact_63_mem__Collect__eq, axiom, ![X135:sum_su1965225555um_c_b, X136:sum_su1965225555um_c_b > $o]:(member973578748um_c_b @ X135 @ (collec1166375742um_c_b @ X136)<=>X136 @ X135), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_63_mem__Collect__eq)). 8.61/8.86 thf(c_0_6, plain, ![X223:sum_su1965225555um_c_b, X221:set_Su111624115um_c_b]:(epred8_2 @ X221 @ X223<=>member973578748um_c_b @ X223 @ X221), introduced(definition)). 8.61/8.86 thf(c_0_7, plain, ![X495:set_Su111624115um_c_b, X496:set_Su111624115um_c_b, X1:denota723907260t_unit, X2:denota723907260t_unit]:(ord_le1404954451um_c_b @ X495 @ X496=>(denota896875430_a_c_b @ X1 @ X2 @ X496=>denota896875430_a_c_b @ X1 @ X2 @ X495)), inference(fof_simplification,[status(thm)],[fact_52_Iagree__sub])). 8.61/8.86 thf(c_0_8, plain, ![X84:sum_su1965225555um_c_b]:(epred19_1 @ X84<=>?[X459:a]:(member_a @ X459 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))&(X84)=(sum_In811702836um_c_b @ X459))), introduced(definition)). 8.61/8.86 thf(c_0_9, plain, ![X84:sum_su1965225555um_c_b]:(epred2_1 @ X84<=>?[X85:a]:((X84)=(sum_In811702836um_c_b @ X85)&member_a @ X85 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2)))), introduced(definition)). 8.61/8.86 thf(c_0_10, plain, ![X84:sum_su1965225555um_c_b]:(epred10_1 @ X84<=>?[X262:a]:((X84)=(sum_In811702836um_c_b @ X262)&member_a @ X262 @ (static_SIGT_a_b @ theta_1))), introduced(definition)). 8.61/8.86 thf(c_0_11, axiom, ![X452:set_Su111624115um_c_b]:(collec1166375742um_c_b @ (epred8_2 @ X452))=(X452), inference(apply_def,[status(thm)],[fact_69_Collect__mem__eq, c_0_6])). 8.61/8.86 thf(c_0_12, plain, ![X2018:set_Su111624115um_c_b, X2019:set_Su111624115um_c_b, X2020:denota723907260t_unit, X2021:denota723907260t_unit]:(~ord_le1404954451um_c_b @ X2018 @ X2019|(~denota896875430_a_c_b @ X2020 @ X2021 @ X2019|denota896875430_a_c_b @ X2020 @ X2021 @ X2018)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 8.61/8.86 thf(c_0_13, axiom, denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ epred19_1), inference(apply_def,[status(thm)],[fact_3_dfree__Times_Oprems_I2_J, c_0_8])). 8.61/8.86 thf(c_0_14, axiom, ord_le1404954451um_c_b @ (collec1166375742um_c_b @ epred10_1) @ (collec1166375742um_c_b @ epred2_1), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[fact_8_Isubs_I1_J, c_0_9]), c_0_10])). 8.61/8.86 thf(c_0_15, plain, ![X1958:set_Su111624115um_c_b]:(collec1166375742um_c_b @ (epred8_2 @ X1958))=(X1958), inference(variable_rename,[status(thm)],[c_0_11])). 8.61/8.86 thf(c_0_16, plain, ![X1:denota723907260t_unit, X2:denota723907260t_unit, X3:set_Su111624115um_c_b, X15:set_Su111624115um_c_b]:(denota896875430_a_c_b @ X1 @ X2 @ X3|~ord_le1404954451um_c_b @ X3 @ X15|~denota896875430_a_c_b @ X1 @ X2 @ X15), inference(split_conjunct,[status(thm)],[c_0_12])). 8.61/8.86 thf(c_0_17, plain, denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ epred19_1), inference(split_conjunct,[status(thm)],[c_0_13])). 8.61/8.86 thf(c_0_18, plain, ord_le1404954451um_c_b @ (collec1166375742um_c_b @ epred10_1) @ (collec1166375742um_c_b @ epred2_1), inference(split_conjunct,[status(thm)],[c_0_14])). 8.61/8.86 thf(c_0_19, plain, ![X3:set_Su111624115um_c_b]:(collec1166375742um_c_b @ (epred8_2 @ X3))=(X3), inference(split_conjunct,[status(thm)],[c_0_15])). 8.61/8.86 thf(c_0_20, negated_conjecture, ~denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ epred10_1), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0]), c_0_10])])). 8.61/8.86 thf(c_0_21, plain, ![X3:set_Su111624115um_c_b]:(denota896875430_a_c_b @ i @ j @ X3|~ord_le1404954451um_c_b @ X3 @ (collec1166375742um_c_b @ epred19_1)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 8.61/8.86 thf(c_0_22, plain, ![X3:set_Su111624115um_c_b]:(ord_le1404954451um_c_b @ (collec1166375742um_c_b @ epred10_1) @ X3|(epred8_2 @ X3)!=(epred2_1)), inference(ext_sup,[status(thm)],[c_0_18, c_0_19])). 8.61/8.86 thf(c_0_23, negated_conjecture, ~denota896875430_a_c_b @ i @ j @ (collec1166375742um_c_b @ epred10_1), inference(split_conjunct,[status(thm)],[c_0_20])). 8.61/8.86 thf(c_0_24, plain, ![X2270:sum_su1965225555um_c_b, X2272:sum_su1965225555um_c_b, X2273:a]:((((X2270)=(sum_In811702836um_c_b @ (esk75_1 @ X2270))|~epred2_1 @ X2270)&(member_a @ (esk75_1 @ X2270) @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|~epred2_1 @ X2270))&((X2272)!=(sum_In811702836um_c_b @ X2273)|~member_a @ X2273 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|epred2_1 @ X2272)), 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_9])])])])])])). 8.61/8.86 thf(c_0_25, plain, (epred8_2 @ (collec1166375742um_c_b @ epred19_1))!=(epred2_1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])). 8.61/8.86 thf(c_0_26, plain, ![X84:sum_su1965225555um_c_b, X4:a]:(epred2_1 @ X84|(X84)!=(sum_In811702836um_c_b @ X4)|~member_a @ X4 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))), inference(split_conjunct,[status(thm)],[c_0_24])). 8.61/8.86 thf(c_0_27, plain, ![X2322:sum_su1965225555um_c_b, X2324:sum_su1965225555um_c_b, X2325:a]:(((member_a @ (esk81_1 @ X2322) @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|~epred19_1 @ X2322)&((X2322)=(sum_In811702836um_c_b @ (esk81_1 @ X2322))|~epred19_1 @ X2322))&(~member_a @ X2325 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|(X2324)!=(sum_In811702836um_c_b @ X2325)|epred19_1 @ X2324)), 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])])])])])])). 8.61/8.86 thf(c_0_28, plain, ![X2288:sum_su1965225555um_c_b, X2289:set_Su111624115um_c_b]:((~epred8_2 @ X2289 @ X2288|member973578748um_c_b @ X2288 @ X2289)&(~member973578748um_c_b @ X2288 @ X2289|epred8_2 @ X2289 @ X2288)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 8.61/8.86 thf(c_0_29, plain, (epred8_2 @ (collec1166375742um_c_b @ epred19_1) @ esk4576_0)!=(epred2_1 @ esk4576_0), inference(neg_ext,[status(thm)],[c_0_25])). 8.61/8.86 thf(c_0_30, plain, ![X4:a]:(epred2_1 @ (sum_In811702836um_c_b @ X4)|~member_a @ X4 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))), inference(er,[status(thm)],[c_0_26])). 8.61/8.86 thf(c_0_31, plain, ![X84:sum_su1965225555um_c_b]:(member_a @ (esk81_1 @ X84) @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|~epred19_1 @ X84), inference(split_conjunct,[status(thm)],[c_0_27])). 8.61/8.86 thf(c_0_32, plain, ![X1594:sum_su1965225555um_c_b, X1595:sum_su1965225555um_c_b > $o]:((~member973578748um_c_b @ X1594 @ (collec1166375742um_c_b @ X1595)|X1595 @ X1594)&(~X1595 @ X1594|member973578748um_c_b @ X1594 @ (collec1166375742um_c_b @ X1595))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_63_mem__Collect__eq])])). 8.61/8.86 thf(c_0_33, plain, ![X3:set_Su111624115um_c_b, X84:sum_su1965225555um_c_b]:(member973578748um_c_b @ X84 @ X3|~epred8_2 @ X3 @ X84), inference(split_conjunct,[status(thm)],[c_0_28])). 8.61/8.86 thf(c_0_34, plain, (epred8_2 @ (collec1166375742um_c_b @ epred19_1) @ esk4576_0|epred2_1 @ esk4576_0), inference(dynamic cnf,[status(thm)],[c_0_29])). 8.61/8.86 thf(c_0_35, plain, (~epred8_2 @ (collec1166375742um_c_b @ epred19_1) @ esk4576_0|~epred2_1 @ esk4576_0), inference(dynamic cnf,[status(thm)],[c_0_29])). 8.61/8.86 thf(c_0_36, plain, ![X84:sum_su1965225555um_c_b, X3:set_Su111624115um_c_b]:(epred8_2 @ X3 @ X84|~member973578748um_c_b @ X84 @ X3), inference(split_conjunct,[status(thm)],[c_0_28])). 8.61/8.86 thf(c_0_37, plain, ![X84:sum_su1965225555um_c_b]:(epred2_1 @ (sum_In811702836um_c_b @ (esk81_1 @ X84))|~epred19_1 @ X84), inference(spm,[status(thm)],[c_0_30, c_0_31])). 8.61/8.86 thf(c_0_38, plain, ![X84:sum_su1965225555um_c_b]:((X84)=(sum_In811702836um_c_b @ (esk81_1 @ X84))|~epred19_1 @ X84), inference(split_conjunct,[status(thm)],[c_0_27])). 8.61/8.86 thf(c_0_39, plain, ![X84:sum_su1965225555um_c_b, X110:sum_su1965225555um_c_b > $o]:(X110 @ X84|~member973578748um_c_b @ X84 @ (collec1166375742um_c_b @ X110)), inference(split_conjunct,[status(thm)],[c_0_32])). 8.61/8.86 thf(c_0_40, plain, (member973578748um_c_b @ esk4576_0 @ (collec1166375742um_c_b @ epred19_1)|epred2_1 @ esk4576_0), inference(spm,[status(thm)],[c_0_33, c_0_34])). 8.61/8.86 thf(c_0_41, plain, ![X84:sum_su1965225555um_c_b, X4:a]:(epred19_1 @ X84|~member_a @ X4 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|(X84)!=(sum_In811702836um_c_b @ X4)), inference(split_conjunct,[status(thm)],[c_0_27])). 8.61/8.86 thf(c_0_42, plain, (~member973578748um_c_b @ esk4576_0 @ (collec1166375742um_c_b @ epred19_1)|~epred2_1 @ esk4576_0), inference(spm,[status(thm)],[c_0_35, c_0_36])). 8.61/8.86 thf(c_0_43, plain, ![X110:sum_su1965225555um_c_b > $o, X84:sum_su1965225555um_c_b]:(member973578748um_c_b @ X84 @ (collec1166375742um_c_b @ X110)|~X110 @ X84), inference(split_conjunct,[status(thm)],[c_0_32])). 8.61/8.86 thf(c_0_44, plain, ![X84:sum_su1965225555um_c_b]:(epred2_1 @ X84|~epred19_1 @ X84), inference(spm,[status(thm)],[c_0_37, c_0_38])). 8.61/8.86 thf(c_0_45, plain, (epred2_1 @ esk4576_0|epred19_1 @ esk4576_0), inference(spm,[status(thm)],[c_0_39, c_0_40])). 8.61/8.86 thf(c_0_46, plain, ![X4:a]:(epred19_1 @ (sum_In811702836um_c_b @ X4)|~member_a @ X4 @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))), inference(er,[status(thm)],[c_0_41])). 8.61/8.86 thf(c_0_47, plain, ![X84:sum_su1965225555um_c_b]:(member_a @ (esk75_1 @ X84) @ (static_SIGT_a_b @ (times_a_b @ theta_1 @ theta_2))|~epred2_1 @ X84), inference(split_conjunct,[status(thm)],[c_0_24])). 8.61/8.86 thf(c_0_48, plain, (~epred2_1 @ esk4576_0|~epred19_1 @ esk4576_0), inference(spm,[status(thm)],[c_0_42, c_0_43])). 8.61/8.86 thf(c_0_49, plain, epred2_1 @ esk4576_0, inference(spm,[status(thm)],[c_0_44, c_0_45])). 8.61/8.86 thf(c_0_50, plain, ![X84:sum_su1965225555um_c_b]:(epred19_1 @ (sum_In811702836um_c_b @ (esk75_1 @ X84))|~epred2_1 @ X84), inference(spm,[status(thm)],[c_0_46, c_0_47])). 8.61/8.86 thf(c_0_51, plain, ![X84:sum_su1965225555um_c_b]:((X84)=(sum_In811702836um_c_b @ (esk75_1 @ X84))|~epred2_1 @ X84), inference(split_conjunct,[status(thm)],[c_0_24])). 8.61/8.86 thf(c_0_52, plain, ~epred19_1 @ esk4576_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])). 8.61/8.86 thf(c_0_53, plain, ![X84:sum_su1965225555um_c_b]:(epred19_1 @ X84|~epred2_1 @ X84), inference(spm,[status(thm)],[c_0_50, c_0_51])). 8.61/8.86 thf(c_0_54, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_49])]), ['proof']). 8.61/8.86 # SZS output end CNFRefutation 8.61/8.86 # Proof object total steps : 55 8.61/8.86 # Proof object clause steps : 34 8.61/8.86 # Proof object formula steps : 21 8.61/8.86 # Proof object conjectures : 3 8.61/8.86 # Proof object clause conjectures : 1 8.61/8.86 # Proof object formula conjectures : 2 8.61/8.86 # Proof object initial clauses used : 15 8.61/8.86 # Proof object initial formulas used : 6 8.61/8.86 # Proof object generating inferences : 12 8.61/8.86 # Proof object simplifying inferences : 7 8.61/8.86 # Training examples: 0 positive, 0 negative 8.61/8.86 # Parsed axioms : 482 8.61/8.86 # Removed by relevancy pruning/SinE : 0 8.61/8.86 # Initial clauses : 807 8.61/8.86 # Removed in clause preprocessing : 174 8.61/8.86 # Initial clauses in saturation : 633 8.61/8.86 # Processed clauses : 33238 8.61/8.86 # ...of these trivial : 349 8.61/8.86 # ...subsumed : 22741 8.61/8.86 # ...remaining for further processing : 10148 8.61/8.86 # Other redundant clauses eliminated : 14897 8.61/8.86 # Clauses deleted for lack of memory : 0 8.61/8.86 # Backward-subsumed : 1224 8.61/8.86 # Backward-rewritten : 114 8.61/8.86 # Generated clauses : 261164 8.61/8.86 # ...of the previous two non-trivial : 205159 8.61/8.86 # Contextual simplify-reflections : 820 8.61/8.86 # Paramodulations : 117885 8.61/8.86 # Factorizations : 62 8.61/8.86 # NegExts : 5006 8.61/8.86 # Equation resolutions : 14909 8.61/8.86 # Propositional unsat checks : 2 8.61/8.86 # Propositional check models : 1 8.61/8.86 # Propositional check unsatisfiable : 0 8.61/8.86 # Propositional clauses : 0 8.61/8.86 # Propositional clauses after purity: 0 8.61/8.86 # Propositional unsat core size : 0 8.61/8.86 # Propositional preprocessing time : 0.000 8.61/8.86 # Propositional encoding time : 0.333 8.61/8.86 # Propositional solver time : 0.055 8.61/8.86 # Success case prop preproc time : 0.000 8.61/8.86 # Success case prop encoding time : 0.000 8.61/8.86 # Success case prop solver time : 0.000 8.61/8.86 # Current number of processed clauses : 7028 8.61/8.86 # Positive orientable unit clauses : 167 8.61/8.86 # Positive unorientable unit clauses: 4 8.61/8.86 # Negative unit clauses : 67 8.61/8.86 # Non-unit-clauses : 6790 8.61/8.86 # Current number of unprocessed clauses: 171103 8.61/8.86 # ...number of literals in the above : 806604 8.61/8.86 # Current number of archived formulas : 0 8.61/8.86 # Current number of archived clauses : 3084 8.61/8.86 # Clause-clause subsumption calls (NU) : 18342807 8.61/8.86 # Rec. Clause-clause subsumption calls : 5104092 8.61/8.86 # Non-unit clause-clause subsumptions : 14808 8.61/8.86 # Unit Clause-clause subsumption calls : 200007 8.61/8.86 # Rewrite failures with RHS unbound : 0 8.61/8.86 # BW rewrite match attempts : 267 8.61/8.86 # BW rewrite match successes : 118 8.61/8.86 # Condensation attempts : 0 8.61/8.86 # Condensation successes : 0 8.61/8.86 # Termbank termtop insertions : 4364985 8.66/8.88 8.66/8.88 # ------------------------------------------------- 8.66/8.88 # User time : 8.324 s 8.66/8.88 # System time : 0.158 s 8.66/8.88 # Total time : 8.482 s 8.66/8.88 # Maximum resident set size: 2576 pages 8.66/8.88 EOF