0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.16 % 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 0.16/0.36 % Computer : n010.cluster.edu 0.16/0.36 % Model : x86_64 x86_64 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.36 % Memory : 8042.1875MB 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.36 % CPULimit : 1200 0.16/0.36 % WCLimit : 120 0.16/0.36 % DateTime : Tue Jul 13 15:44:21 EDT 2021 0.16/0.36 % CPUTime : 0.16/0.36 % Number of cores: 8 0.16/0.37 % Python version: Python 3.6.8 0.16/0.37 # Version: 2.6rc1-ho 0.16/0.39 # No SInE strategy applied 0.16/0.39 # Trying AutoSched0 for 59 seconds 0.22/0.60 # AutoSched0-Mode selected heuristic G_E___200_C45_F1_SE_CS_SP_PI_CO_S0V 0.22/0.60 # and selection function PSelectComplexExceptRRHorn. 0.22/0.60 # 0.22/0.60 # Preprocessing time : 0.072 s 0.22/0.60 0.22/0.60 # Proof found! 0.22/0.60 # SZS status Theorem 0.22/0.60 # SZS output start CNFRefutation 0.22/0.60 thf(fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062, axiom, ![X244:finite964658038_int_n]:(member223413699real_n @ (inf_in1974387902real_n @ (vimage1233683625real_n @ (^[X10:finite1489363574real_n]:plus_p585657087real_n @ X10 @ (minkow1134813771n_real @ X244)) @ (t2 @ X244)) @ (sigma_476185326real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))<=member223413699real_n @ (t2 @ X244) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062)). 0.22/0.60 thf(fact_4_T_H__altdef, axiom, ![X440:finite964658038_int_n]:(t @ X440)=(vimage1233683625real_n @ (^[X10:finite1489363574real_n]:plus_p585657087real_n @ X10 @ (minkow1134813771n_real @ X440)) @ (t2 @ X440)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_T_H__altdef)). 0.22/0.60 thf(fact_57_Int__commute, axiom, (inf_in1974387902real_n)=(^[X132:set_Fi1058188332real_n, X133:set_Fi1058188332real_n]:inf_in1974387902real_n @ X133 @ X132), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_57_Int__commute)). 0.22/0.60 thf(fact_275_space__lebesgue__on, axiom, ![X43:set_Fi1058188332real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ (comple230862828real_n @ lebesg260170249real_n) @ X43))=(X43), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_275_space__lebesgue__on)). 0.22/0.60 thf(fact_268_space__restrict__space, axiom, ![X1:sigma_1466784463real_n, X77:set_Fi1058188332real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ X1 @ X77))=(inf_in1974387902real_n @ X77 @ (sigma_476185326real_n @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_268_space__restrict__space)). 0.22/0.60 thf(fact_43_space__completion, axiom, ![X1:sigma_1466784463real_n]:(sigma_476185326real_n @ (comple230862828real_n @ X1))=(sigma_476185326real_n @ X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_43_space__completion)). 0.22/0.60 thf(fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062, axiom, ![X117:finite964658038_int_n]:member223413699real_n @ (t2 @ X117) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062)). 0.22/0.60 thf(fact_277_space__lborel, axiom, (sigma_476185326real_n @ lebesg260170249real_n)=(sigma_476185326real_n @ borel_676189912real_n), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_277_space__lborel)). 0.22/0.60 thf(conj_0, conjecture, member223413699real_n @ (vimage1233683625real_n @ (^[X10:finite1489363574real_n]:plus_p585657087real_n @ X10 @ (minkow1134813771n_real @ a)) @ (t2 @ a)) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.22/0.60 thf(c_0_9, plain, ![X10:finite1489363574real_n, X244:finite964658038_int_n]:(esk8_2 @ X244 @ X10)=(plus_p585657087real_n @ X10 @ (minkow1134813771n_real @ X244)), introduced(definition)). 0.22/0.60 thf(c_0_10, plain, ![X244:finite964658038_int_n]:(member223413699real_n @ (t2 @ X244) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))=>member223413699real_n @ (inf_in1974387902real_n @ (vimage1233683625real_n @ (esk8_2 @ X244) @ (t2 @ X244)) @ (sigma_476185326real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062, c_0_9])])). 0.22/0.60 thf(c_0_11, axiom, ![X440:finite964658038_int_n]:(t @ X440)=(vimage1233683625real_n @ (esk8_2 @ X440) @ (t2 @ X440)), inference(apply_def,[status(thm)],[fact_4_T_H__altdef, c_0_9])). 0.22/0.60 thf(c_0_12, plain, ![X132:set_Fi1058188332real_n, X133:set_Fi1058188332real_n]:(inf_in1974387902real_n @ X132 @ X133)=(inf_in1974387902real_n @ X133 @ X132), inference(fof_simplification,[status(thm)],[fact_57_Int__commute])). 0.22/0.60 thf(c_0_13, plain, ![X1763:set_Fi1058188332real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ (comple230862828real_n @ lebesg260170249real_n) @ X1763))=(X1763), inference(variable_rename,[status(thm)],[fact_275_space__lebesgue__on])). 0.22/0.60 thf(c_0_14, plain, ![X2663:sigma_1466784463real_n, X2664:set_Fi1058188332real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ X2663 @ X2664))=(inf_in1974387902real_n @ X2664 @ (sigma_476185326real_n @ X2663)), inference(variable_rename,[status(thm)],[fact_268_space__restrict__space])). 0.22/0.60 thf(c_0_15, plain, ![X2043:sigma_1466784463real_n]:(sigma_476185326real_n @ (comple230862828real_n @ X2043))=(sigma_476185326real_n @ X2043), inference(variable_rename,[status(thm)],[fact_43_space__completion])). 0.22/0.60 thf(c_0_16, plain, ![X2054:finite964658038_int_n]:(~member223413699real_n @ (t2 @ X2054) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))|member223413699real_n @ (inf_in1974387902real_n @ (vimage1233683625real_n @ (esk8_2 @ X2054) @ (t2 @ X2054)) @ (sigma_476185326real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])). 0.22/0.60 thf(c_0_17, plain, ![X2384:finite964658038_int_n]:(t @ X2384)=(vimage1233683625real_n @ (esk8_2 @ X2384) @ (t2 @ X2384)), inference(variable_rename,[status(thm)],[c_0_11])). 0.22/0.60 thf(c_0_18, plain, ![X1883:set_Fi1058188332real_n, X1884:set_Fi1058188332real_n]:(inf_in1974387902real_n @ X1883 @ X1884)=(inf_in1974387902real_n @ X1884 @ X1883), inference(variable_rename,[status(thm)],[c_0_12])). 0.22/0.60 thf(c_0_19, plain, ![X1863:finite964658038_int_n]:member223413699real_n @ (t2 @ X1863) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(variable_rename,[status(thm)],[fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062])). 0.22/0.60 thf(c_0_20, plain, ![X5:set_Fi1058188332real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ (comple230862828real_n @ lebesg260170249real_n) @ X5))=(X5), inference(split_conjunct,[status(thm)],[c_0_13])). 0.22/0.60 thf(c_0_21, plain, ![X5:set_Fi1058188332real_n, X1:sigma_1466784463real_n]:(sigma_476185326real_n @ (sigma_346513458real_n @ X1 @ X5))=(inf_in1974387902real_n @ X5 @ (sigma_476185326real_n @ X1)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.22/0.60 thf(c_0_22, plain, ![X1:sigma_1466784463real_n]:(sigma_476185326real_n @ (comple230862828real_n @ X1))=(sigma_476185326real_n @ X1), inference(split_conjunct,[status(thm)],[c_0_15])). 0.22/0.60 thf(c_0_23, plain, (sigma_476185326real_n @ lebesg260170249real_n)=(sigma_476185326real_n @ borel_676189912real_n), inference(split_conjunct,[status(thm)],[fact_277_space__lborel])). 0.22/0.60 thf(c_0_24, negated_conjecture, ~member223413699real_n @ (vimage1233683625real_n @ (esk8_2 @ a) @ (t2 @ a)) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0]), c_0_9])])). 0.22/0.60 thf(c_0_25, plain, ![X86:finite964658038_int_n]:(member223413699real_n @ (inf_in1974387902real_n @ (vimage1233683625real_n @ (esk8_2 @ X86) @ (t2 @ X86)) @ (sigma_476185326real_n @ (comple230862828real_n @ lebesg260170249real_n))) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))|~member223413699real_n @ (t2 @ X86) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.22/0.60 thf(c_0_26, plain, ![X86:finite964658038_int_n]:(t @ X86)=(vimage1233683625real_n @ (esk8_2 @ X86) @ (t2 @ X86)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.22/0.60 thf(c_0_27, plain, ![X22:set_Fi1058188332real_n, X5:set_Fi1058188332real_n]:(inf_in1974387902real_n @ X5 @ X22)=(inf_in1974387902real_n @ X22 @ X5), inference(split_conjunct,[status(thm)],[c_0_18])). 0.22/0.60 thf(c_0_28, plain, ![X86:finite964658038_int_n]:member223413699real_n @ (t2 @ X86) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.22/0.60 thf(c_0_29, plain, ![X5:set_Fi1058188332real_n]:(inf_in1974387902real_n @ X5 @ (sigma_476185326real_n @ borel_676189912real_n))=(X5), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23])). 0.22/0.60 thf(c_0_30, negated_conjecture, ~member223413699real_n @ (vimage1233683625real_n @ (esk8_2 @ a) @ (t2 @ a)) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(split_conjunct,[status(thm)],[c_0_24])). 0.22/0.60 thf(c_0_31, plain, ![X86:finite964658038_int_n]:member223413699real_n @ (inf_in1974387902real_n @ (sigma_476185326real_n @ borel_676189912real_n) @ (t @ X86)) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26]), c_0_22]), c_0_23]), c_0_27]), c_0_28])])). 0.22/0.60 thf(c_0_32, plain, ![X5:set_Fi1058188332real_n]:(inf_in1974387902real_n @ (sigma_476185326real_n @ borel_676189912real_n) @ X5)=(X5), inference(spm,[status(thm)],[c_0_27, c_0_29])). 0.22/0.60 thf(c_0_33, negated_conjecture, ~member223413699real_n @ (t @ a) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(rw,[status(thm)],[c_0_30, c_0_26])). 0.22/0.60 thf(c_0_34, plain, ![X86:finite964658038_int_n]:member223413699real_n @ (t @ X86) @ (sigma_1235138647real_n @ (comple230862828real_n @ lebesg260170249real_n)), inference(rw,[status(thm)],[c_0_31, c_0_32])). 0.22/0.60 thf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])]), ['proof']). 0.22/0.60 # SZS output end CNFRefutation 0.22/0.60 # Proof object total steps : 36 0.22/0.60 # Proof object clause steps : 15 0.22/0.60 # Proof object formula steps : 21 0.22/0.60 # Proof object conjectures : 5 0.22/0.60 # Proof object clause conjectures : 3 0.22/0.60 # Proof object formula conjectures : 2 0.22/0.60 # Proof object initial clauses used : 9 0.22/0.60 # Proof object initial formulas used : 9 0.22/0.60 # Proof object generating inferences : 1 0.22/0.60 # Proof object simplifying inferences : 13 0.22/0.60 # Training examples: 0 positive, 0 negative 0.22/0.60 # Parsed axioms : 476 0.22/0.60 # Removed by relevancy pruning/SinE : 0 0.22/0.60 # Initial clauses : 852 0.22/0.60 # Removed in clause preprocessing : 121 0.22/0.60 # Initial clauses in saturation : 731 0.22/0.60 # Processed clauses : 812 0.22/0.60 # ...of these trivial : 21 0.22/0.60 # ...subsumed : 89 0.22/0.60 # ...remaining for further processing : 702 0.22/0.60 # Other redundant clauses eliminated : 1308 0.22/0.60 # Clauses deleted for lack of memory : 0 0.22/0.60 # Backward-subsumed : 1 0.22/0.60 # Backward-rewritten : 8 0.22/0.60 # Generated clauses : 9063 0.22/0.60 # ...of the previous two non-trivial : 6326 0.22/0.60 # Contextual simplify-reflections : 0 0.22/0.60 # Paramodulations : 4628 0.22/0.60 # Factorizations : 8 0.22/0.60 # NegExts : 2 0.22/0.60 # Equation resolutions : 1318 0.22/0.60 # Propositional unsat checks : 0 0.22/0.60 # Propositional check models : 0 0.22/0.60 # Propositional check unsatisfiable : 0 0.22/0.60 # Propositional clauses : 0 0.22/0.60 # Propositional clauses after purity: 0 0.22/0.60 # Propositional unsat core size : 0 0.22/0.60 # Propositional preprocessing time : 0.000 0.22/0.60 # Propositional encoding time : 0.000 0.22/0.60 # Propositional solver time : 0.000 0.22/0.60 # Success case prop preproc time : 0.000 0.22/0.60 # Success case prop encoding time : 0.000 0.22/0.60 # Success case prop solver time : 0.000 0.22/0.60 # Current number of processed clauses : 642 0.22/0.60 # Positive orientable unit clauses : 122 0.22/0.60 # Positive unorientable unit clauses: 7 0.22/0.60 # Negative unit clauses : 6 0.22/0.60 # Non-unit-clauses : 507 0.22/0.60 # Current number of unprocessed clauses: 6244 0.22/0.60 # ...number of literals in the above : 19120 0.22/0.60 # Current number of archived formulas : 0 0.22/0.60 # Current number of archived clauses : 9 0.22/0.60 # Clause-clause subsumption calls (NU) : 69934 0.22/0.60 # Rec. Clause-clause subsumption calls : 63159 0.22/0.60 # Non-unit clause-clause subsumptions : 78 0.22/0.60 # Unit Clause-clause subsumption calls : 850 0.22/0.60 # Rewrite failures with RHS unbound : 0 0.22/0.60 # BW rewrite match attempts : 72 0.22/0.60 # BW rewrite match successes : 41 0.22/0.60 # Condensation attempts : 812 0.22/0.60 # Condensation successes : 0 0.22/0.60 # Termbank termtop insertions : 185305 0.22/0.61 0.22/0.61 # ------------------------------------------------- 0.22/0.61 # User time : 0.225 s 0.22/0.61 # System time : 0.012 s 0.22/0.61 # Total time : 0.237 s 0.22/0.61 # Maximum resident set size: 2712 pages 0.22/0.61 EOF