0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_E %s %d THM 0.14/0.34 % Computer : n023.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 03:45:58 EDT 2022 0.14/0.34 % CPUTime : 0.19/0.47 Running higher-order on 8 cores theorem proving 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.47 # Version: 3.0pre003-ho 0.19/0.49 # Preprocessing class: HSSSSMSSSLSCHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting sh2 with 600s (5) cores 0.19/0.49 # Starting sh5l with 120s (1) cores 0.19/0.49 # Starting lpo1_def_fix with 120s (1) cores 0.19/0.49 # Starting ehoh_best8_lambda with 120s (1) cores 0.19/0.49 # sh2 with pid 19879 completed with status 0 0.19/0.49 # Result found by sh2 0.19/0.49 # Preprocessing class: HSSSSMSSSLSCHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting sh2 with 600s (5) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HGUSM-FFSF32-SHSFMSBN 0.19/0.49 # Scheduled 5 strats onto 5 cores with 600 seconds (600 total) 0.19/0.49 # Starting sh2 with 361s (1) cores 0.19/0.49 # Starting sh5l with 61s (1) cores 0.19/0.49 # Starting lpo1_def_fix with 61s (1) cores 0.19/0.49 # Starting ehoh_best8_lambda with 61s (1) cores 0.19/0.49 # Starting ho_unfolding_6 with 56s (1) cores 0.19/0.49 # sh2 with pid 19886 completed with status 0 0.19/0.49 # Result found by sh2 0.19/0.49 # Preprocessing class: HSSSSMSSSLSCHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting sh2 with 600s (5) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HGUSM-FFSF32-SHSFMSBN 0.19/0.49 # Scheduled 5 strats onto 5 cores with 600 seconds (600 total) 0.19/0.49 # Starting sh2 with 361s (1) cores 0.19/0.49 # Preprocessing time : 0.002 s 0.19/0.49 # Presaturation interreduction done 0.19/0.49 0.19/0.49 # Proof found! 0.19/0.49 # SZS status Theorem 0.19/0.49 # SZS output start CNFRefutation 0.19/0.49 thf(decl_22, type, emptyset: $i > $o). 0.19/0.49 thf(decl_23, type, union: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.49 thf(decl_24, type, singleton: $i > $i > $o). 0.19/0.49 thf(decl_25, type, zero: $i). 0.19/0.49 thf(decl_26, type, sup: ($i > $o) > $i). 0.19/0.49 thf(decl_27, type, supset: (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_28, type, unionset: (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_29, type, addition: $i > $i > $i). 0.19/0.49 thf(decl_30, type, leq: $i > $i > $o). 0.19/0.49 thf(decl_31, type, multiplication: $i > $i > $i). 0.19/0.49 thf(decl_32, type, crossmult: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.49 thf(decl_33, type, one: $i). 0.19/0.49 thf(decl_34, type, epred1_0: $i > $o). 0.19/0.49 thf(decl_35, type, epred2_2: $i > $i > $i > $o). 0.19/0.49 thf(decl_36, type, epred3_1: $i > $i > $o). 0.19/0.49 thf(decl_37, type, epred4_1: (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_38, type, epred5_1: (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_39, type, epred6_2: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.49 thf(decl_40, type, epred7_0: $i > $o). 0.19/0.49 thf(decl_41, type, epred8_2: $i > (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_42, type, epred9_2: $i > (($i > $o) > $o) > $i > $o). 0.19/0.49 thf(decl_43, type, esk1_3: $i > ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_44, type, esk2_3: $i > ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_45, type, esk3_0: $i). 0.19/0.49 thf(decl_46, type, esk4_1: $i > $i). 0.19/0.49 thf(decl_47, type, esk5_0: $i). 0.19/0.49 thf(decl_48, type, esk6_1: $i > $i). 0.19/0.49 thf(decl_49, type, esk7_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_50, type, esk8_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_51, type, esk9_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_52, type, esk10_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_53, type, esk11_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_54, type, esk12_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_55, type, esk13_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_56, type, esk14_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_57, type, esk15_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_58, type, esk16_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_59, type, esk17_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_60, type, esk18_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_61, type, esk19_2: $i > $i > $i). 0.19/0.49 thf(decl_62, type, esk20_2: ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_63, type, esk21_1: ($i > $o) > $i). 0.19/0.49 thf(decl_64, type, esk22_0: $i). 0.19/0.49 thf(decl_65, type, esk23_2: $i > (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_66, type, esk24_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_67, type, esk25_1: ($i > $o) > $i). 0.19/0.49 thf(decl_68, type, esk26_1: $i > $i). 0.19/0.49 thf(decl_69, type, esk27_1: $i > $i). 0.19/0.49 thf(decl_70, type, esk28_2: $i > $i > $i). 0.19/0.49 thf(decl_71, type, esk29_0: $i). 0.19/0.49 thf(decl_72, type, esk30_0: $i). 0.19/0.49 thf(decl_73, type, esk31_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_74, type, esk32_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_75, type, esk33_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_76, type, esk34_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_77, type, esk35_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_78, type, esk36_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_79, type, esk37_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_80, type, esk38_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_81, type, esk39_1: ($i > $o) > $i). 0.19/0.49 thf(decl_82, type, esk40_0: $i). 0.19/0.49 thf(decl_83, type, esk41_1: ($i > $o) > $i). 0.19/0.49 thf(decl_84, type, esk42_1: ($i > $o) > $i). 0.19/0.49 thf(decl_85, type, esk43_0: $i). 0.19/0.49 thf(decl_86, type, esk44_1: ($i > $o) > $i). 0.19/0.49 thf(decl_87, type, esk45_2: (($i > $o) > $o) > (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_88, type, esk46_1: (($i > $o) > $o) > $i). 0.19/0.49 thf(decl_89, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_90, type, esk48_2: ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_91, type, esk49_2: ($i > $o) > ($i > $o) > $i). 0.19/0.49 thf(decl_92, type, esk50_1: ($i > $o) > $i). 0.19/0.49 thf(decl_93, type, esk51_0: $i). 0.19/0.49 thf(decl_94, type, esk52_0: $i). 0.19/0.49 thf(crossmult_def, axiom, ((crossmult)=(^[X7:$i > $o, X3:$i > $o, X8:$i]:(?[X9:$i, X10:$i]:((((X7 @ X9)&(X3 @ X10))&((X8)=(multiplication @ X9 @ X10))))))), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', crossmult_def)). 0.19/0.49 thf(multiplication_def, axiom, ![X12:$i > $o, X3:$i > $o]:(((multiplication @ (sup @ X12) @ (sup @ X3))=(sup @ (crossmult @ X12 @ X3)))), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', multiplication_def)). 0.19/0.49 thf(emptyset_def, axiom, ((emptyset)=(^[X1:$i]:(~($true)))), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', emptyset_def)). 0.19/0.49 thf(sup_es, axiom, ((sup @ emptyset)=(zero)), file('/export/starexec/sandbox/benchmark/Axioms/QUA001^0.ax', sup_es)). 0.19/0.49 thf(multiplication_anni, conjecture, ![X14:$i > $o]:(((multiplication @ (sup @ X14) @ zero)=(zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', multiplication_anni)). 0.19/0.49 thf(c_0_5, plain, ((crossmult)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(?[X9:$i, X10:$i]:((((Z0 @ X9)&(Z1 @ X10))&((Z2)=(multiplication @ X9 @ X10))))))), inference(fof_simplification,[status(thm)],[crossmult_def])). 0.19/0.49 thf(c_0_6, plain, ![X12:$i > $o, X3:$i > $o]:(((multiplication @ (sup @ X12) @ (sup @ X3))=(sup @ (^[Z0:$i]:(?[X26:$i, X27:$i]:((((X12 @ X26)&(X3 @ X27))&((Z0)=(multiplication @ X26 @ X27))))))))), inference(apply_def,[status(thm)],[multiplication_def, c_0_5])). 0.19/0.49 thf(c_0_7, plain, ((emptyset)=(^[Z0:$i]:(~($true)))), inference(fof_simplification,[status(thm)],[emptyset_def])). 0.19/0.49 thf(c_0_8, plain, ![X35:$i > $o, X36:$i > $o]:(((multiplication @ (sup @ X35) @ (sup @ X36))=(sup @ (^[Z0:$i]:(?[X26:$i, X27:$i]:((((X35 @ X26)&(X36 @ X27))&((Z0)=(multiplication @ X26 @ X27))))))))), inference(variable_rename,[status(thm)],[c_0_6])). 0.19/0.49 thf(c_0_9, plain, ![X49:$i, X2:$i > $o, X3:$i > $o]:(((epred6_2 @ X3 @ X2 @ X49)<=>?[X47:$i, X48:$i]:((((X2 @ X47)&(X3 @ X48))&((X49)=(multiplication @ X47 @ X48)))))), introduced(definition)). 0.19/0.49 thf(c_0_10, plain, ((sup @ (^[Z0:$i]:(~($true))))=(zero)), inference(apply_def,[status(thm)],[sup_es, c_0_7])). 0.19/0.49 thf(c_0_11, plain, ![X50:$i]:(((epred7_0 @ X50)<=>((($true))!=(($true))))), introduced(definition)). 0.19/0.49 thf(c_0_12, negated_conjecture, ~(![X14:$i > $o]:(((multiplication @ (sup @ X14) @ zero)=(zero)))), inference(assume_negation,[status(cth)],[multiplication_anni])). 0.19/0.49 thf(c_0_13, plain, ![X3:$i > $o, X2:$i > $o]:(((multiplication @ (sup @ X2) @ (sup @ X3))=(sup @ (epred6_2 @ X3 @ X2)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8]), c_0_9])). 0.19/0.49 thf(c_0_14, plain, ((sup @ epred7_0)=(zero)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10]), c_0_11])). 0.19/0.49 thf(c_0_15, negated_conjecture, ((multiplication @ (sup @ epred1_0) @ zero)!=(zero)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])). 0.19/0.49 thf(c_0_16, plain, ![X2:$i > $o]:(((sup @ (epred6_2 @ epred7_0 @ X2))=(multiplication @ (sup @ X2) @ zero))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.19/0.49 thf(c_0_17, plain, ![X2:$i > $o, X3:$i > $o]:((((sup @ (epred6_2 @ X2 @ X3))=(zero))|((epred6_2 @ X2 @ X3)!=(epred7_0)))), inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14, c_0_13]), c_0_13])). 0.19/0.49 thf(c_0_18, plain, ![X75:$i]:(((~(epred7_0 @ X75)|((($true))!=(($true))))&(((($true))=(($true)))|(epred7_0 @ X75)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])). 0.19/0.49 thf(c_0_19, negated_conjecture, ((multiplication @ (sup @ epred1_0) @ zero)!=(zero)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.19/0.49 thf(c_0_20, plain, ![X2:$i > $o]:((((multiplication @ (sup @ X2) @ zero)=(zero))|((epred6_2 @ epred7_0 @ X2)!=(epred7_0)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.19/0.49 thf(c_0_21, plain, ![X1:$i]:((~((epred7_0 @ X1))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.19/0.49 thf(c_0_22, plain, ![X68:$i, X69:$i > $o, X70:$i > $o, X73:$i, X74:$i]:((((((X69 @ (esk1_3 @ X68 @ X69 @ X70))|~(epred6_2 @ X70 @ X69 @ X68))&((X70 @ (esk2_3 @ X68 @ X69 @ X70))|~(epred6_2 @ X70 @ X69 @ X68)))&(((X68)=(multiplication @ (esk1_3 @ X68 @ X69 @ X70) @ (esk2_3 @ X68 @ X69 @ X70)))|~(epred6_2 @ X70 @ X69 @ X68)))&(~(X69 @ X73)|~(X70 @ X74)|((X68)!=(multiplication @ X73 @ X74))|(epred6_2 @ X70 @ X69 @ X68)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])). 0.19/0.49 thf(c_0_23, negated_conjecture, ((epred6_2 @ epred7_0 @ epred1_0)!=(epred7_0)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.19/0.49 thf(c_0_24, plain, ![X1:$i]:(~((epred7_0 @ X1))), inference(cn,[status(thm)],[c_0_21])). 0.19/0.49 thf(c_0_25, plain, ![X3:$i > $o, X2:$i > $o, X1:$i]:(((X2 @ (esk2_3 @ X1 @ X3 @ X2))|~((epred6_2 @ X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.19/0.49 thf(c_0_26, negated_conjecture, ((epred6_2 @ epred7_0 @ epred1_0 @ esk51_0)<~>(epred7_0 @ esk51_0)), inference(neg_ext,[status(thm)],[c_0_23])). 0.19/0.49 thf(c_0_27, plain, ![X2:$i > $o, X1:$i]:(~((epred6_2 @ epred7_0 @ X2 @ X1))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.19/0.49 thf(c_0_28, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_26]), c_0_27]), c_0_24]), ['proof']). 0.19/0.49 # SZS output end CNFRefutation 0.19/0.49 # Parsed axioms : 27 0.19/0.49 # Removed by relevancy pruning/SinE : 0 0.19/0.49 # Initial clauses : 39 0.19/0.49 # Removed in clause preprocessing : 13 0.19/0.49 # Initial clauses in saturation : 26 0.19/0.49 # Processed clauses : 159 0.19/0.49 # ...of these trivial : 0 0.19/0.49 # ...subsumed : 20 0.19/0.49 # ...remaining for further processing : 139 0.19/0.49 # Other redundant clauses eliminated : 5 0.19/0.49 # Clauses deleted for lack of memory : 0 0.19/0.49 # Backward-subsumed : 0 0.19/0.49 # Backward-rewritten : 0 0.19/0.49 # Generated clauses : 306 0.19/0.49 # ...of the previous two non-redundant : 300 0.19/0.49 # ...aggressively subsumed : 0 0.19/0.49 # Contextual simplify-reflections : 0 0.19/0.49 # Paramodulations : 202 0.19/0.49 # Factorizations : 0 0.19/0.49 # NegExts : 50 0.19/0.49 # Equation resolutions : 5 0.19/0.49 # Propositional unsat checks : 0 0.19/0.49 # Propositional check models : 0 0.19/0.49 # Propositional check unsatisfiable : 0 0.19/0.49 # Propositional clauses : 0 0.19/0.49 # Propositional clauses after purity: 0 0.19/0.49 # Propositional unsat core size : 0 0.19/0.49 # Propositional preprocessing time : 0.000 0.19/0.49 # Propositional encoding time : 0.000 0.19/0.49 # Propositional solver time : 0.000 0.19/0.49 # Success case prop preproc time : 0.000 0.19/0.49 # Success case prop encoding time : 0.000 0.19/0.49 # Success case prop solver time : 0.000 0.19/0.49 # Current number of processed clauses : 98 0.19/0.49 # Positive orientable unit clauses : 12 0.19/0.49 # Positive unorientable unit clauses: 0 0.19/0.49 # Negative unit clauses : 18 0.19/0.49 # Non-unit-clauses : 68 0.19/0.49 # Current number of unprocessed clauses: 193 0.19/0.49 # ...number of literals in the above : 450 0.19/0.49 # Current number of archived formulas : 0 0.19/0.49 # Current number of archived clauses : 36 0.19/0.49 # Clause-clause subsumption calls (NU) : 830 0.19/0.49 # Rec. Clause-clause subsumption calls : 636 0.19/0.49 # Non-unit clause-clause subsumptions : 4 0.19/0.49 # Unit Clause-clause subsumption calls : 88 0.19/0.49 # Rewrite failures with RHS unbound : 0 0.19/0.49 # BW rewrite match attempts : 6 0.19/0.49 # BW rewrite match successes : 0 0.19/0.49 # Condensation attempts : 0 0.19/0.49 # Condensation successes : 0 0.19/0.49 # Termbank termtop insertions : 6437 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.016 s 0.19/0.49 # System time : 0.004 s 0.19/0.49 # Total time : 0.019 s 0.19/0.49 # Maximum resident set size: 2036 pages 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.070 s 0.19/0.49 # System time : 0.015 s 0.19/0.49 # Total time : 0.084 s 0.19/0.49 # Maximum resident set size: 1756 pages 0.19/0.49 EOF