0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.15 % 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 0.15/0.37 % Computer : n013.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1200 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Jul 13 15:42:18 EDT 2021 0.15/0.37 % CPUTime : 0.15/0.37 % Number of cores: 8 0.15/0.38 % Python version: Python 3.6.8 0.15/0.38 # Version: 2.6rc1-ho 0.15/0.39 # No SInE strategy applied 0.15/0.39 # Trying AutoSched0 for 59 seconds 2.25/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 2.25/2.45 # and selection function SelectComplexExceptUniqMaxHorn. 2.25/2.45 # 2.25/2.45 # Preprocessing time : 0.074 s 2.25/2.45 # Presaturation interreduction done 2.25/2.45 2.25/2.45 # Proof found! 2.25/2.45 # SZS status Theorem 2.25/2.45 # SZS output start CNFRefutation 2.25/2.45 thf(fact_136_sup__commute, axiom, (sup_sup_set_a)=(^[X118:set_a, X119:set_a]:sup_sup_set_a @ X119 @ X118), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_136_sup__commute)). 2.25/2.45 thf(fact_39_inj__on__Un__image__eq__iff, axiom, ![X2:a > b, X172:set_a, X173:set_a]:(((image_a_b @ X2 @ X172)=(image_a_b @ X2 @ X173)<=>(X172)=(X173))<=inj_on_a_b @ X2 @ (sup_sup_set_a @ X172 @ X173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_39_inj__on__Un__image__eq__iff)). 2.25/2.45 thf(fact_8_o__inj__on, axiom, ![X2:a > b, X576:c > a, X577:c > a]:((comp_a_b_c @ X2 @ X576)=(comp_a_b_c @ X2 @ X577)=>((X576)=(X577)<=inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X576 @ top_top_set_c) @ (image_c_a @ X577 @ top_top_set_c)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_o__inj__on)). 2.25/2.45 thf(conj_0, hypothesis, inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 2.25/2.45 thf(fact_306_image__comp, axiom, ![X2:a > b, X947:c > a, X948:set_c]:(image_a_b @ X2 @ (image_c_a @ X947 @ X948))=(image_c_b @ (comp_a_b_c @ X2 @ X947) @ X948), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_306_image__comp)). 2.25/2.45 thf(conj_1, hypothesis, (comp_a_b_c @ f @ g)=(comp_a_b_c @ f @ h), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 2.25/2.45 thf(fact_126_sup_Oidem, axiom, ![X99:set_a]:(sup_sup_set_a @ X99 @ X99)=(X99), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_126_sup_Oidem)). 2.25/2.45 thf(conj_2, conjecture, (g)=(h), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 2.25/2.45 thf(c_0_8, plain, ![X118:set_a, X119:set_a]:(sup_sup_set_a @ X118 @ X119)=(sup_sup_set_a @ X119 @ X118), inference(fof_simplification,[status(thm)],[fact_136_sup__commute])). 2.25/2.45 thf(c_0_9, plain, ![X2:a > b, X172:set_a, X173:set_a]:(inj_on_a_b @ X2 @ (sup_sup_set_a @ X172 @ X173)=>((image_a_b @ X2 @ X172)=(image_a_b @ X2 @ X173)<=>(X172)=(X173))), inference(fof_simplification,[status(thm)],[fact_39_inj__on__Un__image__eq__iff])). 2.25/2.45 thf(c_0_10, plain, ![X2222:set_a, X2223:set_a]:(sup_sup_set_a @ X2222 @ X2223)=(sup_sup_set_a @ X2223 @ X2222), inference(variable_rename,[status(thm)],[c_0_8])). 2.25/2.45 thf(c_0_11, plain, ![X2:a > b, X576:c > a, X577:c > a]:((comp_a_b_c @ X2 @ X576)=(comp_a_b_c @ X2 @ X577)=>(inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X576 @ top_top_set_c) @ (image_c_a @ X577 @ top_top_set_c))=>(X576)=(X577))), inference(fof_simplification,[status(thm)],[fact_8_o__inj__on])). 2.25/2.45 thf(c_0_12, plain, ![X2308:a > b, X2309:set_a, X2310:set_a]:(((image_a_b @ X2308 @ X2309)!=(image_a_b @ X2308 @ X2310)|(X2309)=(X2310)|~inj_on_a_b @ X2308 @ (sup_sup_set_a @ X2309 @ X2310))&((X2309)!=(X2310)|(image_a_b @ X2308 @ X2309)=(image_a_b @ X2308 @ X2310)|~inj_on_a_b @ X2308 @ (sup_sup_set_a @ X2309 @ X2310))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 2.25/2.45 thf(c_0_13, hypothesis, inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ g @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c)), inference(split_conjunct,[status(thm)],[conj_0])). 2.25/2.45 thf(c_0_14, plain, ![X71:set_a, X54:set_a]:(sup_sup_set_a @ X54 @ X71)=(sup_sup_set_a @ X71 @ X54), inference(split_conjunct,[status(thm)],[c_0_10])). 2.25/2.45 thf(c_0_15, plain, ![X3338:a > b, X3339:c > a, X3340:set_c]:(image_a_b @ X3338 @ (image_c_a @ X3339 @ X3340))=(image_c_b @ (comp_a_b_c @ X3338 @ X3339) @ X3340), inference(variable_rename,[status(thm)],[fact_306_image__comp])). 2.25/2.45 thf(c_0_16, plain, ![X2870:a > b, X2871:c > a, X2872:c > a]:((comp_a_b_c @ X2870 @ X2871)!=(comp_a_b_c @ X2870 @ X2872)|(~inj_on_a_b @ X2870 @ (sup_sup_set_a @ (image_c_a @ X2871 @ top_top_set_c) @ (image_c_a @ X2872 @ top_top_set_c))|(X2871)=(X2872))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])). 2.25/2.46 thf(c_0_17, plain, ![X2:a > b, X54:set_a, X71:set_a]:((X54)=(X71)|(image_a_b @ X2 @ X54)!=(image_a_b @ X2 @ X71)|~inj_on_a_b @ X2 @ (sup_sup_set_a @ X54 @ X71)), inference(split_conjunct,[status(thm)],[c_0_12])). 2.25/2.46 thf(c_0_18, hypothesis, inj_on_a_b @ f @ (sup_sup_set_a @ (image_c_a @ h @ top_top_set_c) @ (image_c_a @ g @ top_top_set_c)), inference(rw,[status(thm)],[c_0_13, c_0_14])). 2.25/2.46 thf(c_0_19, plain, ![X2:a > b, X3:c > a, X24:set_c]:(image_a_b @ X2 @ (image_c_a @ X3 @ X24))=(image_c_b @ (comp_a_b_c @ X2 @ X3) @ X24), inference(split_conjunct,[status(thm)],[c_0_15])). 2.25/2.46 thf(c_0_20, hypothesis, (comp_a_b_c @ f @ g)=(comp_a_b_c @ f @ h), inference(split_conjunct,[status(thm)],[conj_1])). 2.25/2.46 thf(c_0_21, plain, ![X2:a > b, X3:c > a, X9:c > a]:((X3)=(X9)|(comp_a_b_c @ X2 @ X3)!=(comp_a_b_c @ X2 @ X9)|~inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X3 @ top_top_set_c) @ (image_c_a @ X9 @ top_top_set_c))), inference(split_conjunct,[status(thm)],[c_0_16])). 2.25/2.46 thf(c_0_22, hypothesis, (image_c_a @ g @ top_top_set_c)=(image_c_a @ h @ top_top_set_c), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_19]), c_0_20])])). 2.25/2.46 thf(c_0_23, plain, ![X2189:set_a]:(sup_sup_set_a @ X2189 @ X2189)=(X2189), inference(variable_rename,[status(thm)],[fact_126_sup_Oidem])). 2.25/2.46 thf(c_0_24, negated_conjecture, (g)!=(h), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 2.25/2.46 thf(c_0_25, hypothesis, ![X2:a > b, X3:c > a]:((X3)=(g)|(comp_a_b_c @ X2 @ X3)!=(comp_a_b_c @ X2 @ g)|~inj_on_a_b @ X2 @ (sup_sup_set_a @ (image_c_a @ X3 @ top_top_set_c) @ (image_c_a @ h @ top_top_set_c))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 2.25/2.46 thf(c_0_26, plain, ![X54:set_a]:(sup_sup_set_a @ X54 @ X54)=(X54), inference(split_conjunct,[status(thm)],[c_0_23])). 2.25/2.46 thf(c_0_27, negated_conjecture, (g)!=(h), inference(split_conjunct,[status(thm)],[c_0_24])). 2.25/2.46 thf(c_0_28, hypothesis, ![X2:a > b]:((comp_a_b_c @ X2 @ g)!=(comp_a_b_c @ X2 @ h)|~inj_on_a_b @ X2 @ (image_c_a @ h @ top_top_set_c)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 2.25/2.46 thf(c_0_29, hypothesis, inj_on_a_b @ f @ (image_c_a @ h @ top_top_set_c), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_22]), c_0_26])). 2.25/2.46 thf(c_0_30, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_20])]), ['proof']). 2.25/2.46 # SZS output end CNFRefutation 2.25/2.46 # Proof object total steps : 31 2.25/2.46 # Proof object clause steps : 14 2.25/2.46 # Proof object formula steps : 17 2.25/2.46 # Proof object conjectures : 3 2.25/2.46 # Proof object clause conjectures : 1 2.25/2.46 # Proof object formula conjectures : 2 2.25/2.46 # Proof object initial clauses used : 8 2.25/2.46 # Proof object initial formulas used : 8 2.25/2.46 # Proof object generating inferences : 4 2.25/2.46 # Proof object simplifying inferences : 10 2.25/2.46 # Training examples: 0 positive, 0 negative 2.25/2.46 # Parsed axioms : 434 2.25/2.46 # Removed by relevancy pruning/SinE : 0 2.25/2.46 # Initial clauses : 677 2.25/2.46 # Removed in clause preprocessing : 110 2.25/2.46 # Initial clauses in saturation : 567 2.25/2.46 # Processed clauses : 9608 2.25/2.46 # ...of these trivial : 142 2.25/2.46 # ...subsumed : 5330 2.25/2.46 # ...remaining for further processing : 4136 2.25/2.46 # Other redundant clauses eliminated : 35577 2.25/2.46 # Clauses deleted for lack of memory : 0 2.25/2.46 # Backward-subsumed : 34 2.25/2.46 # Backward-rewritten : 8 2.25/2.46 # Generated clauses : 148400 2.25/2.46 # ...of the previous two non-trivial : 92194 2.25/2.46 # Contextual simplify-reflections : 28 2.25/2.46 # Paramodulations : 63901 2.25/2.46 # Factorizations : 0 2.25/2.46 # NegExts : 1377 2.25/2.46 # Equation resolutions : 35735 2.25/2.46 # Propositional unsat checks : 0 2.25/2.46 # Propositional check models : 0 2.25/2.46 # Propositional check unsatisfiable : 0 2.25/2.46 # Propositional clauses : 0 2.25/2.46 # Propositional clauses after purity: 0 2.25/2.46 # Propositional unsat core size : 0 2.25/2.46 # Propositional preprocessing time : 0.000 2.25/2.46 # Propositional encoding time : 0.000 2.25/2.46 # Propositional solver time : 0.000 2.25/2.46 # Success case prop preproc time : 0.000 2.25/2.46 # Success case prop encoding time : 0.000 2.25/2.46 # Success case prop solver time : 0.000 2.25/2.46 # Current number of processed clauses : 3598 2.25/2.46 # Positive orientable unit clauses : 109 2.25/2.46 # Positive unorientable unit clauses: 10 2.25/2.46 # Negative unit clauses : 2 2.25/2.46 # Non-unit-clauses : 3477 2.25/2.46 # Current number of unprocessed clauses: 83576 2.25/2.46 # ...number of literals in the above : 357995 2.25/2.46 # Current number of archived formulas : 0 2.25/2.46 # Current number of archived clauses : 502 2.25/2.46 # Clause-clause subsumption calls (NU) : 1164458 2.25/2.46 # Rec. Clause-clause subsumption calls : 693170 2.25/2.46 # Non-unit clause-clause subsumptions : 5143 2.25/2.46 # Unit Clause-clause subsumption calls : 24531 2.25/2.46 # Rewrite failures with RHS unbound : 0 2.25/2.46 # BW rewrite match attempts : 17417 2.25/2.46 # BW rewrite match successes : 85 2.25/2.46 # Condensation attempts : 0 2.25/2.46 # Condensation successes : 0 2.25/2.46 # Termbank termtop insertions : 2117148 2.25/2.46 2.25/2.46 # ------------------------------------------------- 2.25/2.46 # User time : 2.033 s 2.25/2.46 # System time : 0.051 s 2.25/2.46 # Total time : 2.084 s 2.25/2.46 # Maximum resident set size: 2704 pages 2.25/2.46 EOF