0.03/0.11 % Problem : Vampire---4.8_29108 : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_E %s %d THM 0.11/0.30 % Computer : n024.cluster.edu 0.11/0.30 % Model : x86_64 x86_64 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 % Memory : 8042.1875MB 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 1440 0.11/0.30 % WCLimit : 180 0.11/0.30 % DateTime : Mon Jul 3 12:52:08 EDT 2023 0.11/0.30 % CPUTime : 0.15/0.42 Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108 0.15/0.43 # Version: 3.1pre001-ho 0.15/0.44 # Preprocessing class: HSSSSMSSSSMNSSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 # Starting sh3 with 900s (5) cores 0.15/0.44 # Starting ehoh_best8_lambda with 180s (1) cores 0.15/0.44 # Starting sh2lt with 180s (1) cores 0.15/0.44 # Starting ho_unfolding_1 with 180s (1) cores 0.15/0.44 # ehoh_best8_lambda with pid 29438 completed with status 0 0.15/0.44 # Result found by ehoh_best8_lambda 0.15/0.44 # Preprocessing class: HSSSSMSSSSMNSSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 # Starting sh3 with 900s (5) cores 0.15/0.44 # Starting ehoh_best8_lambda with 180s (1) cores 0.15/0.44 # No SInE strategy applied 0.15/0.44 # Search class: HGHSS-FFSF21-MSSFFFNN 0.15/0.44 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.15/0.44 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.15/0.44 # Starting post_as_ho12 with 81s (1) cores 0.15/0.44 # post_as_ho12 with pid 29444 completed with status 0 0.15/0.44 # Result found by post_as_ho12 0.15/0.44 # Preprocessing class: HSSSSMSSSSMNSSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.44 # Starting sh3 with 900s (5) cores 0.15/0.44 # Starting ehoh_best8_lambda with 180s (1) cores 0.15/0.44 # No SInE strategy applied 0.15/0.44 # Search class: HGHSS-FFSF21-MSSFFFNN 0.15/0.44 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.15/0.44 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.15/0.44 # Starting post_as_ho12 with 81s (1) cores 0.15/0.44 # Preprocessing time : 0.001 s 0.15/0.44 # Presaturation interreduction done 0.15/0.44 0.15/0.44 # Proof found! 0.15/0.44 # SZS status Theorem 0.15/0.44 # SZS output start CNFRefutation 0.15/0.44 thf(decl_22, type, 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real'). 0.15/0.44 thf(decl_23, type, 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real'). 0.15/0.44 thf(decl_24, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real'). 0.15/0.44 thf(decl_25, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num'). 0.15/0.44 thf(decl_26, type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num'). 0.15/0.44 thf(decl_27, type, 'const/nums/_0': 'type/nums/num'). 0.15/0.44 thf(decl_28, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o). 0.15/0.44 thf(decl_29, type, esk1_0: 'type/realax/real' > 'type/realax/real'). 0.15/0.44 thf(decl_31, type, esk3_2: 'type/realax/real' > ('type/realax/real' > 'type/realax/real') > 'type/realax/real'). 0.15/0.44 thf(decl_33, type, esk5_2: 'type/realax/real' > ('type/realax/real' > 'type/realax/real') > 'type/realax/real'). 0.15/0.44 thf('thm/iterate/POLYNOMIAL_FUNCTION_NEG_', conjecture, ![X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[X3:'type/realax/real']:('const/realax/real_neg' @ (X2 @ X3))))<=>('const/iterate/polynomial_function' @ X2))), file('/export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108', 'thm/iterate/POLYNOMIAL_FUNCTION_NEG_')). 0.15/0.44 thf('thm/iterate/POLYNOMIAL_FUNCTION_LMUL_', axiom, ![X4:'type/realax/real' > 'type/realax/real', X3:'type/realax/real']:((('const/iterate/polynomial_function' @ X4)=>('const/iterate/polynomial_function' @ (^[X5:'type/realax/real']:('const/realax/real_mul' @ X3 @ (X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108', 'thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')). 0.15/0.44 thf('thm/calc_int/REAL_MUL_LNEG_', axiom, ![X1:'type/realax/real', X3:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X3)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108', 'thm/calc_int/REAL_MUL_LNEG_')). 0.15/0.44 thf('thm/realax/REAL_MUL_LID_', axiom, ![X1:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1)=(X1))), file('/export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108', 'thm/realax/REAL_MUL_LID_')). 0.15/0.44 thf('thm/calc_int/REAL_NEG_NEG_', axiom, ![X1:'type/realax/real']:((('const/realax/real_neg' @ ('const/realax/real_neg' @ X1))=(X1))), file('/export/starexec/sandbox2/tmp/tmp.TOzNRTmtyS/Vampire---4.8_29108', 'thm/calc_int/REAL_NEG_NEG_')). 0.15/0.44 thf(c_0_5, negated_conjecture, ~(![X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (X2 @ Z0))))<=>('const/iterate/polynomial_function' @ X2)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['thm/iterate/POLYNOMIAL_FUNCTION_NEG_'])])). 0.15/0.44 thf(c_0_6, plain, ![X4:'type/realax/real' > 'type/realax/real', X3:'type/realax/real']:((('const/iterate/polynomial_function' @ X4)=>('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X3 @ (X4 @ Z0)))))), inference(fof_simplification,[status(thm)],['thm/iterate/POLYNOMIAL_FUNCTION_LMUL_'])). 0.15/0.44 thf(c_0_7, negated_conjecture, ((~('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|~('const/iterate/polynomial_function' @ esk1_0))&(('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|('const/iterate/polynomial_function' @ esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 0.15/0.44 thf(c_0_8, plain, ![X16:'type/realax/real' > 'type/realax/real', X17:'type/realax/real']:((~('const/iterate/polynomial_function' @ X16)|('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X17 @ (X16 @ Z0)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.15/0.44 thf(c_0_9, negated_conjecture, (~(('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))))|~(('const/iterate/polynomial_function' @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.15/0.44 thf(c_0_10, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X2 @ Z0))))|~(('const/iterate/polynomial_function' @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.15/0.44 thf(c_0_11, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((((^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))!=(^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X2 @ Z0))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X2)))), inference(ext_sup,[status(thm)],[c_0_9, c_0_10])). 0.15/0.44 thf(c_0_12, plain, ![X18:'type/realax/real', X19:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X18) @ X19)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X18 @ X19)))), inference(variable_rename,[status(thm)],['thm/calc_int/REAL_MUL_LNEG_'])). 0.15/0.44 thf(c_0_13, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((((esk1_0)!=(^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X2 @ Z0))))|~(('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))))|~(('const/iterate/polynomial_function' @ X2)))), inference(ext_sup,[status(thm)],[c_0_9, c_0_10])). 0.15/0.44 thf(c_0_14, negated_conjecture, (('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|('const/iterate/polynomial_function' @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.15/0.44 thf(c_0_15, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:(((('const/realax/real_neg' @ (esk1_0 @ (esk3_2 @ X1 @ X2)))!=('const/realax/real_mul' @ X1 @ (X2 @ (esk3_2 @ X1 @ X2))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X2)))), inference(neg_ext,[status(thm)],[c_0_11])). 0.15/0.44 thf(c_0_16, plain, ![X1:'type/realax/real', X3:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X3)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.15/0.44 thf(c_0_17, plain, ![X14:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X14)=(X14))), inference(variable_rename,[status(thm)],['thm/realax/REAL_MUL_LID_'])). 0.15/0.44 thf(c_0_18, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0)!=(^[Z0/* 24 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X2 @ Z0))))|~(('const/iterate/polynomial_function' @ X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.15/0.44 thf(c_0_19, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:(((('const/realax/real_neg' @ (esk1_0 @ (esk3_2 @ ('const/realax/real_neg' @ X1) @ X2)))!=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ (X2 @ (esk3_2 @ ('const/realax/real_neg' @ X1) @ X2)))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X2)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.15/0.44 thf(c_0_20, plain, ![X1:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.15/0.44 thf(c_0_21, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0 @ (esk5_2 @ X1 @ X2))!=('const/realax/real_mul' @ X1 @ (X2 @ (esk5_2 @ X1 @ X2))))|~(('const/iterate/polynomial_function' @ X2)))), inference(neg_ext,[status(thm)],[c_0_18])). 0.15/0.44 thf(c_0_22, plain, ![X2:'type/realax/real' > 'type/realax/real']:(((('const/realax/real_neg' @ (esk1_0 @ (esk3_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X2)))!=('const/realax/real_neg' @ (X2 @ (esk3_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X2))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X2)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.15/0.44 thf(c_0_23, plain, ![X1:'type/realax/real', X2:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0 @ (esk5_2 @ ('const/realax/real_neg' @ X1) @ X2))!=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ (X2 @ (esk5_2 @ ('const/realax/real_neg' @ X1) @ X2)))))|~(('const/iterate/polynomial_function' @ X2)))), inference(spm,[status(thm)],[c_0_21, c_0_16])). 0.15/0.44 thf(c_0_24, plain, ~(('const/iterate/polynomial_function' @ esk1_0)), inference(er,[status(thm)],[c_0_22])). 0.15/0.44 thf(c_0_25, plain, ![X13:'type/realax/real']:((('const/realax/real_neg' @ ('const/realax/real_neg' @ X13))=(X13))), inference(variable_rename,[status(thm)],['thm/calc_int/REAL_NEG_NEG_'])). 0.15/0.44 thf(c_0_26, plain, ![X2:'type/realax/real' > 'type/realax/real']:((((esk1_0 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X2))!=('const/realax/real_neg' @ (X2 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X2))))|~(('const/iterate/polynomial_function' @ X2)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_20]), c_0_24])). 0.15/0.44 thf(c_0_27, plain, ![X1:'type/realax/real']:((('const/realax/real_neg' @ ('const/realax/real_neg' @ X1))=(X1))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.15/0.44 thf(c_0_28, plain, ![X2:'type/realax/real' > 'type/realax/real']:((((esk1_0 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (X2 @ Z0)))))!=(X2 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (X2 @ Z0))))))|~(('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (X2 @ Z0))))))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.15/0.44 thf(c_0_29, negated_conjecture, ('const/iterate/polynomial_function' @ (^[Z0/* 23 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))), inference(sr,[status(thm)],[c_0_14, c_0_24])). 0.15/0.44 thf(c_0_30, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_28]), c_0_29])]), ['proof']). 0.15/0.44 # SZS output end CNFRefutation 0.15/0.44 # Parsed axioms : 14 0.15/0.44 # Removed by relevancy pruning/SinE : 0 0.15/0.44 # Initial clauses : 15 0.15/0.44 # Removed in clause preprocessing : 9 0.15/0.44 # Initial clauses in saturation : 6 0.15/0.44 # Processed clauses : 72 0.15/0.44 # ...of these trivial : 5 0.15/0.44 # ...subsumed : 17 0.15/0.44 # ...remaining for further processing : 50 0.15/0.44 # Other redundant clauses eliminated : 0 0.15/0.44 # Clauses deleted for lack of memory : 0 0.15/0.44 # Backward-subsumed : 11 0.15/0.44 # Backward-rewritten : 2 0.15/0.44 # Generated clauses : 73 0.15/0.44 # ...of the previous two non-redundant : 70 0.15/0.44 # ...aggressively subsumed : 0 0.15/0.44 # Contextual simplify-reflections : 0 0.15/0.44 # Paramodulations : 53 0.15/0.44 # Factorizations : 0 0.15/0.44 # NegExts : 5 0.15/0.44 # Equation resolutions : 6 0.15/0.44 # Total rewrite steps : 43 0.15/0.44 # Propositional unsat checks : 0 0.15/0.44 # Propositional check models : 0 0.15/0.44 # Propositional check unsatisfiable : 0 0.15/0.44 # Propositional clauses : 0 0.15/0.44 # Propositional clauses after purity: 0 0.15/0.44 # Propositional unsat core size : 0 0.15/0.44 # Propositional preprocessing time : 0.000 0.15/0.44 # Propositional encoding time : 0.000 0.15/0.44 # Propositional solver time : 0.000 0.15/0.44 # Success case prop preproc time : 0.000 0.15/0.44 # Success case prop encoding time : 0.000 0.15/0.44 # Success case prop solver time : 0.000 0.15/0.44 # Current number of processed clauses : 27 0.15/0.44 # Positive orientable unit clauses : 9 0.15/0.44 # Positive unorientable unit clauses: 0 0.15/0.44 # Negative unit clauses : 1 0.15/0.44 # Non-unit-clauses : 17 0.15/0.44 # Current number of unprocessed clauses: 3 0.15/0.44 # ...number of literals in the above : 5 0.15/0.44 # Current number of archived formulas : 0 0.15/0.44 # Current number of archived clauses : 23 0.15/0.44 # Clause-clause subsumption calls (NU) : 188 0.15/0.44 # Rec. Clause-clause subsumption calls : 129 0.15/0.44 # Non-unit clause-clause subsumptions : 19 0.15/0.44 # Unit Clause-clause subsumption calls : 17 0.15/0.44 # Rewrite failures with RHS unbound : 0 0.15/0.44 # BW rewrite match attempts : 8 0.15/0.44 # BW rewrite match successes : 2 0.15/0.44 # Condensation attempts : 0 0.15/0.44 # Condensation successes : 0 0.15/0.44 # Termbank termtop insertions : 4261 0.15/0.44 0.15/0.44 # ------------------------------------------------- 0.15/0.44 # User time : 0.010 s 0.15/0.44 # System time : 0.001 s 0.15/0.44 # Total time : 0.011 s 0.15/0.44 # Maximum resident set size: 1784 pages 0.15/0.44 0.15/0.44 # ------------------------------------------------- 0.15/0.44 # User time : 0.010 s 0.15/0.44 # System time : 0.004 s 0.15/0.44 # Total time : 0.014 s 0.15/0.44 # Maximum resident set size: 1724 pages 0.15/0.44 % E---3.1 exiting 0.37/0.44 EOF