0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n018.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 08:05:49 EDT 2025 0.15/0.31 % CPUTime : 0.16/0.44 Running higher-order theorem proving 0.16/0.45 Running: /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=240 /export/starexec/sandbox2/tmp/tmp.u65AnF8X3T/E---3.1_1533.p 0.16/0.46 # Version: 3.0.0-ho 0.16/0.46 # Preprocessing class: HSSSSMSSSSMNSSN. 0.16/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.46 # Starting sh3 with 1200s (5) cores 0.16/0.46 # Starting ehoh_best8_lambda with 240s (1) cores 0.16/0.46 # Starting sh2lt with 240s (1) cores 0.16/0.46 # Starting ho_unfolding_1 with 240s (1) cores 0.16/0.46 # ho_unfolding_1 with pid 1614 completed with status 0 0.16/0.46 # Result found by ho_unfolding_1 0.16/0.46 # Preprocessing class: HSSSSMSSSSMNSSN. 0.16/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.46 # Starting sh3 with 1200s (5) cores 0.16/0.46 # Starting ehoh_best8_lambda with 240s (1) cores 0.16/0.46 # Starting sh2lt with 240s (1) cores 0.16/0.46 # Starting ho_unfolding_1 with 240s (1) cores 0.16/0.46 # No SInE strategy applied 0.16/0.46 # Search class: HGHSS-FFSF21-MSSFFFNN 0.16/0.46 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.16/0.46 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.16/0.46 # Starting post_as_ho12 with 108s (1) cores 0.16/0.46 # post_as_ho12 with pid 1617 completed with status 0 0.16/0.46 # Result found by post_as_ho12 0.16/0.46 # Preprocessing class: HSSSSMSSSSMNSSN. 0.16/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.46 # Starting sh3 with 1200s (5) cores 0.16/0.46 # Starting ehoh_best8_lambda with 240s (1) cores 0.16/0.46 # Starting sh2lt with 240s (1) cores 0.16/0.46 # Starting ho_unfolding_1 with 240s (1) cores 0.16/0.46 # No SInE strategy applied 0.16/0.46 # Search class: HGHSS-FFSF21-MSSFFFNN 0.16/0.46 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.16/0.46 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.16/0.46 # Starting post_as_ho12 with 108s (1) cores 0.16/0.46 # Preprocessing time : 0.001 s 0.16/0.46 # Presaturation interreduction done 0.16/0.46 0.16/0.46 # Proof found! 0.16/0.46 # SZS status Theorem 0.16/0.46 # SZS output start CNFRefutation 0.16/0.46 thf(decl_sort1, type, 'type/nums/num': $tType). 0.16/0.46 thf(decl_sort2, type, 'type/realax/real': $tType). 0.16/0.46 thf(decl_23, type, 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real'). 0.16/0.46 thf(decl_24, type, 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real'). 0.16/0.46 thf(decl_25, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real'). 0.16/0.46 thf(decl_26, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num'). 0.16/0.46 thf(decl_27, type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num'). 0.16/0.46 thf(decl_28, type, 'const/nums/_0': 'type/nums/num'). 0.16/0.46 thf(decl_29, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o). 0.16/0.46 thf(decl_30, type, esk1_0: 'type/realax/real' > 'type/realax/real'). 0.16/0.46 thf(decl_32, type, esk3_2: 'type/realax/real' > ('type/realax/real' > 'type/realax/real') > 'type/realax/real'). 0.16/0.46 thf(decl_34, type, esk5_2: 'type/realax/real' > ('type/realax/real' > 'type/realax/real') > 'type/realax/real'). 0.16/0.46 thf('thm/iterate/POLYNOMIAL_FUNCTION_NEG_', conjecture, ![X5:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[X2:'type/realax/real']:('const/realax/real_neg' @ (X5 @ X2))))<=>('const/iterate/polynomial_function' @ X5))), file('/export/starexec/sandbox2/tmp/tmp.u65AnF8X3T/E---3.1_1533.p', 'thm/iterate/POLYNOMIAL_FUNCTION_NEG_')). 0.16/0.46 thf('thm/iterate/POLYNOMIAL_FUNCTION_LMUL_', axiom, ![X3:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ (^[X4:'type/realax/real']:('const/realax/real_mul' @ X2 @ (X3 @ X4))))<=('const/iterate/polynomial_function' @ X3))), file('/export/starexec/sandbox2/tmp/tmp.u65AnF8X3T/E---3.1_1533.p', 'thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')). 0.16/0.46 thf('thm/calc_int/REAL_MUL_LNEG_', axiom, ![X1:'type/realax/real', X2:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X2)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.u65AnF8X3T/E---3.1_1533.p', 'thm/calc_int/REAL_MUL_LNEG_')). 0.16/0.46 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.u65AnF8X3T/E---3.1_1533.p', 'thm/realax/REAL_MUL_LID_')). 0.16/0.46 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.u65AnF8X3T/E---3.1_1533.p', 'thm/calc_int/REAL_NEG_NEG_')). 0.16/0.46 thf(c_0_5, negated_conjecture, ~(![X5:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (X5 @ Z0))))<=>('const/iterate/polynomial_function' @ X5)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['thm/iterate/POLYNOMIAL_FUNCTION_NEG_'])])). 0.16/0.46 thf(c_0_6, plain, ![X3:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ X3)=>('const/iterate/polynomial_function' @ (^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X2 @ (X3 @ Z0)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],['thm/iterate/POLYNOMIAL_FUNCTION_LMUL_'])])). 0.16/0.46 thf(c_0_7, negated_conjecture, ((~('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|~('const/iterate/polynomial_function' @ esk1_0))&(('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|('const/iterate/polynomial_function' @ esk1_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.16/0.46 thf(c_0_8, plain, ![X15:'type/realax/real' > 'type/realax/real', X16:'type/realax/real']:((~('const/iterate/polynomial_function' @ X15)|('const/iterate/polynomial_function' @ (^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X16 @ (X15 @ Z0)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 0.16/0.46 thf(c_0_9, negated_conjecture, (~(('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))))|~(('const/iterate/polynomial_function' @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.16/0.46 thf(c_0_10, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X3 @ Z0))))|~(('const/iterate/polynomial_function' @ X3)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.16/0.46 thf(c_0_11, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((((^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))!=(^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X3 @ Z0))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X3)))), inference(ext_sup,[status(thm)],[c_0_9, c_0_10])). 0.16/0.46 thf(c_0_12, plain, ![X13:'type/realax/real', X14:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X13) @ X14)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X13 @ X14)))), inference(variable_rename,[status(thm)],['thm/calc_int/REAL_MUL_LNEG_'])). 0.16/0.46 thf(c_0_13, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((((esk1_0)!=(^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X3 @ Z0))))|~(('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))))|~(('const/iterate/polynomial_function' @ X3)))), inference(ext_sup,[status(thm)],[c_0_9, c_0_10])). 0.16/0.46 thf(c_0_14, negated_conjecture, (('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0))))|('const/iterate/polynomial_function' @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.16/0.46 thf(c_0_15, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:(((('const/realax/real_neg' @ (esk1_0 @ (esk3_2 @ X1 @ X3)))!=('const/realax/real_mul' @ X1 @ (X3 @ (esk3_2 @ X1 @ X3))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X3)))), inference(neg_ext,[status(thm)],[c_0_11])). 0.16/0.46 thf(c_0_16, plain, ![X1:'type/realax/real', X2:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X2)=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.16/0.46 thf(c_0_17, plain, ![X19:'type/realax/real']:((('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X19)=(X19))), inference(variable_rename,[status(thm)],['thm/realax/REAL_MUL_LID_'])). 0.16/0.46 thf(c_0_18, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0)!=(^[Z0/* 25 */:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X3 @ Z0))))|~(('const/iterate/polynomial_function' @ X3)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.16/0.46 thf(c_0_19, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:(((('const/realax/real_neg' @ (esk1_0 @ (esk3_2 @ ('const/realax/real_neg' @ X1) @ X3)))!=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ (X3 @ (esk3_2 @ ('const/realax/real_neg' @ X1) @ X3)))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X3)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.16/0.46 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])). 0.16/0.46 thf(c_0_21, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0 @ (esk5_2 @ X1 @ X3))!=('const/realax/real_mul' @ X1 @ (X3 @ (esk5_2 @ X1 @ X3))))|~(('const/iterate/polynomial_function' @ X3)))), inference(neg_ext,[status(thm)],[c_0_18])). 0.16/0.46 thf(c_0_22, plain, ![X3:'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')))) @ X3)))!=('const/realax/real_neg' @ (X3 @ (esk3_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X3))))|~(('const/iterate/polynomial_function' @ esk1_0))|~(('const/iterate/polynomial_function' @ X3)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.16/0.46 thf(c_0_23, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ esk1_0)|((esk1_0 @ (esk5_2 @ ('const/realax/real_neg' @ X1) @ X3))!=('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ (X3 @ (esk5_2 @ ('const/realax/real_neg' @ X1) @ X3)))))|~(('const/iterate/polynomial_function' @ X3)))), inference(spm,[status(thm)],[c_0_21, c_0_16])). 0.16/0.46 thf(c_0_24, plain, ~(('const/iterate/polynomial_function' @ esk1_0)), inference(er,[status(thm)],[c_0_22])). 0.16/0.46 thf(c_0_25, plain, ![X18:'type/realax/real']:((('const/realax/real_neg' @ ('const/realax/real_neg' @ X18))=(X18))), inference(variable_rename,[status(thm)],['thm/calc_int/REAL_NEG_NEG_'])). 0.16/0.46 thf(c_0_26, plain, ![X3:'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')))) @ X3))!=('const/realax/real_neg' @ (X3 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ X3))))|~(('const/iterate/polynomial_function' @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_20]), c_0_24])). 0.16/0.46 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])). 0.16/0.46 thf(c_0_28, plain, ![X3:'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/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (X3 @ Z0)))))!=(X3 @ (esk5_2 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (X3 @ Z0))))))|~(('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (X3 @ Z0))))))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.16/0.46 thf(c_0_29, negated_conjecture, ('const/iterate/polynomial_function' @ (^[Z0/* 24 */:'type/realax/real']:('const/realax/real_neg' @ (esk1_0 @ Z0)))), inference(sr,[status(thm)],[c_0_14, c_0_24])). 0.16/0.46 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']). 0.16/0.46 # SZS output end CNFRefutation 0.16/0.46 # Parsed axioms : 14 0.16/0.46 # Removed by relevancy pruning/SinE : 0 0.16/0.46 # Initial clauses : 15 0.16/0.46 # Removed in clause preprocessing : 9 0.16/0.46 # Initial clauses in saturation : 6 0.16/0.46 # Processed clauses : 72 0.16/0.46 # ...of these trivial : 5 0.16/0.46 # ...subsumed : 17 0.16/0.46 # ...remaining for further processing : 50 0.16/0.46 # Other redundant clauses eliminated : 0 0.16/0.46 # Clauses deleted for lack of memory : 0 0.16/0.46 # Backward-subsumed : 11 0.16/0.46 # Backward-rewritten : 2 0.16/0.46 # Generated clauses : 73 0.16/0.46 # ...of the previous two non-redundant : 70 0.16/0.46 # ...aggressively subsumed : 0 0.16/0.46 # Contextual simplify-reflections : 0 0.16/0.46 # Paramodulations : 53 0.16/0.46 # Factorizations : 0 0.16/0.46 # NegExts : 5 0.16/0.46 # Equation resolutions : 6 0.16/0.46 # Disequality decompositions : 0 0.16/0.46 # Total rewrite steps : 43 0.16/0.46 # ...of those cached : 28 0.16/0.46 # Propositional unsat checks : 0 0.16/0.46 # Propositional check models : 0 0.16/0.46 # Propositional check unsatisfiable : 0 0.16/0.46 # Propositional clauses : 0 0.16/0.46 # Propositional clauses after purity: 0 0.16/0.46 # Propositional unsat core size : 0 0.16/0.46 # Propositional preprocessing time : 0.000 0.16/0.46 # Propositional encoding time : 0.000 0.16/0.46 # Propositional solver time : 0.000 0.16/0.46 # Success case prop preproc time : 0.000 0.16/0.46 # Success case prop encoding time : 0.000 0.16/0.46 # Success case prop solver time : 0.000 0.16/0.46 # Current number of processed clauses : 27 0.16/0.46 # Positive orientable unit clauses : 9 0.16/0.46 # Positive unorientable unit clauses: 0 0.16/0.46 # Negative unit clauses : 1 0.16/0.46 # Non-unit-clauses : 17 0.16/0.46 # Current number of unprocessed clauses: 3 0.16/0.46 # ...number of literals in the above : 5 0.16/0.46 # Current number of archived formulas : 0 0.16/0.46 # Current number of archived clauses : 23 0.16/0.46 # Clause-clause subsumption calls (NU) : 156 0.16/0.46 # Rec. Clause-clause subsumption calls : 104 0.16/0.46 # Non-unit clause-clause subsumptions : 19 0.16/0.46 # Unit Clause-clause subsumption calls : 17 0.16/0.46 # Rewrite failures with RHS unbound : 0 0.16/0.46 # BW rewrite match attempts : 8 0.16/0.46 # BW rewrite match successes : 2 0.16/0.46 # Condensation attempts : 0 0.16/0.46 # Condensation successes : 0 0.16/0.46 # Termbank termtop insertions : 4327 0.16/0.46 # Search garbage collected termcells : 94 0.16/0.46 0.16/0.46 # ------------------------------------------------- 0.16/0.46 # User time : 0.009 s 0.16/0.46 # System time : 0.001 s 0.16/0.46 # Total time : 0.010 s 0.16/0.46 # Maximum resident set size: 1800 pages 0.16/0.46 0.16/0.46 # ------------------------------------------------- 0.16/0.46 # User time : 0.009 s 0.16/0.46 # System time : 0.003 s 0.16/0.46 # Total time : 0.012 s 0.16/0.46 # Maximum resident set size: 1732 pages 0.16/0.46 % E exiting 0.16/0.47 % E exiting 0.16/0.47 EOF