0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % 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 0.14/0.35 % Computer : n026.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 16:00:44 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 0.53/0.72 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.53/0.72 # and selection function SelectMaxLComplexAvoidPosPred. 0.53/0.72 # 0.53/0.72 # Preprocessing time : 0.066 s 0.53/0.72 0.53/0.72 # Proof found! 0.53/0.72 # SZS status Theorem 0.53/0.72 # SZS output start CNFRefutation 0.53/0.72 thf(fact_71_image__mset__mset__set, axiom, ![X5:nat > nat, X3:set_nat]:((image_mset_nat_nat @ X5 @ (mset_set_nat @ X3))=(mset_set_nat @ (image_nat_nat @ X5 @ X3))<=inj_on_nat_nat @ X5 @ X3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_71_image__mset__mset__set)). 0.53/0.72 thf(fact_152_multiset_Omap__comp, axiom, ![X271:nat > a, X5:nat > nat, X8:multiset_nat]:(image_mset_nat_a @ X271 @ (image_mset_nat_nat @ X5 @ X8))=(image_mset_nat_a @ (comp_nat_a_nat @ X271 @ X5) @ X8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_152_multiset_Omap__comp)). 0.53/0.72 thf(conj_0, conjecture, (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.53/0.72 thf(fact_1_calculation, axiom, (mset_a @ xs)=(image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_calculation)). 0.53/0.72 thf(fact_3__C2_C, axiom, (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))=(set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3__C2_C)). 0.53/0.72 thf(fact_0__C1_C, axiom, inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__C1_C)). 0.53/0.72 thf(c_0_6, plain, ![X5:nat > nat, X3:set_nat]:(inj_on_nat_nat @ X5 @ X3=>(image_mset_nat_nat @ X5 @ (mset_set_nat @ X3))=(mset_set_nat @ (image_nat_nat @ X5 @ X3))), inference(fof_simplification,[status(thm)],[fact_71_image__mset__mset__set])). 0.53/0.72 thf(c_0_7, plain, ![X1747:nat > a, X1748:nat > nat, X1749:multiset_nat]:(image_mset_nat_a @ X1747 @ (image_mset_nat_nat @ X1748 @ X1749))=(image_mset_nat_a @ (comp_nat_a_nat @ X1747 @ X1748) @ X1749), inference(variable_rename,[status(thm)],[fact_152_multiset_Omap__comp])). 0.53/0.72 thf(c_0_8, plain, ![X1507:nat > nat, X1508:set_nat]:(~inj_on_nat_nat @ X1507 @ X1508|(image_mset_nat_nat @ X1507 @ (mset_set_nat @ X1508))=(mset_set_nat @ (image_nat_nat @ X1507 @ X1508))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.53/0.72 thf(c_0_9, negated_conjecture, (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))!=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.53/0.72 thf(c_0_10, plain, (mset_a @ xs)=(image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))), inference(split_conjunct,[status(thm)],[fact_1_calculation])). 0.53/0.72 thf(c_0_11, plain, ![X5:nat > nat, X7:nat > a, X8:multiset_nat]:(image_mset_nat_a @ X7 @ (image_mset_nat_nat @ X5 @ X8))=(image_mset_nat_a @ (comp_nat_a_nat @ X7 @ X5) @ X8), inference(split_conjunct,[status(thm)],[c_0_7])). 0.53/0.72 thf(c_0_12, plain, ![X5:nat > nat, X3:set_nat]:((image_mset_nat_nat @ X5 @ (mset_set_nat @ X3))=(mset_set_nat @ (image_nat_nat @ X5 @ X3))|~inj_on_nat_nat @ X5 @ X3), inference(split_conjunct,[status(thm)],[c_0_8])). 0.53/0.72 thf(c_0_13, negated_conjecture, (image_mset_nat_a @ (nth_a @ ys) @ (image_mset_nat_nat @ f @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))))!=(image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.53/0.72 thf(c_0_14, plain, (image_mset_nat_a @ (comp_nat_a_nat @ (nth_a @ ys) @ f) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs))))=(mset_a @ xs), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.53/0.72 thf(c_0_15, plain, ![X7:nat > a, X5:nat > nat, X3:set_nat]:((image_mset_nat_a @ (comp_nat_a_nat @ X7 @ X5) @ (mset_set_nat @ X3))=(image_mset_nat_a @ X7 @ (mset_set_nat @ (image_nat_nat @ X5 @ X3)))|~inj_on_nat_nat @ X5 @ X3), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.53/0.72 thf(c_0_16, plain, (image_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)))=(set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys)), inference(split_conjunct,[status(thm)],[fact_3__C2_C])). 0.53/0.72 thf(c_0_17, plain, inj_on_nat_nat @ f @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ xs)), inference(split_conjunct,[status(thm)],[fact_0__C1_C])). 0.53/0.72 thf(c_0_18, negated_conjecture, (image_mset_nat_a @ (nth_a @ ys) @ (mset_set_nat @ (set_or562006527an_nat @ zero_zero_nat @ (size_size_list_a @ ys))))!=(mset_a @ xs), inference(rw,[status(thm)],[c_0_13, c_0_10])). 0.53/0.72 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])]), c_0_18]), ['proof']). 0.53/0.72 # SZS output end CNFRefutation 0.53/0.72 # Proof object total steps : 20 0.53/0.72 # Proof object clause steps : 10 0.53/0.72 # Proof object formula steps : 10 0.53/0.72 # Proof object conjectures : 4 0.53/0.72 # Proof object clause conjectures : 2 0.53/0.72 # Proof object formula conjectures : 2 0.53/0.72 # Proof object initial clauses used : 6 0.53/0.72 # Proof object initial formulas used : 6 0.53/0.72 # Proof object generating inferences : 2 0.53/0.72 # Proof object simplifying inferences : 6 0.53/0.72 # Training examples: 0 positive, 0 negative 0.53/0.72 # Parsed axioms : 469 0.53/0.72 # Removed by relevancy pruning/SinE : 0 0.53/0.72 # Initial clauses : 685 0.53/0.72 # Removed in clause preprocessing : 135 0.53/0.72 # Initial clauses in saturation : 550 0.53/0.72 # Processed clauses : 1860 0.53/0.72 # ...of these trivial : 99 0.53/0.72 # ...subsumed : 858 0.53/0.72 # ...remaining for further processing : 903 0.53/0.72 # Other redundant clauses eliminated : 791 0.53/0.72 # Clauses deleted for lack of memory : 0 0.53/0.72 # Backward-subsumed : 27 0.53/0.72 # Backward-rewritten : 19 0.53/0.72 # Generated clauses : 11209 0.53/0.72 # ...of the previous two non-trivial : 9485 0.53/0.72 # Contextual simplify-reflections : 31 0.53/0.72 # Paramodulations : 9891 0.53/0.72 # Factorizations : 18 0.53/0.72 # NegExts : 74 0.53/0.72 # Equation resolutions : 894 0.53/0.72 # Propositional unsat checks : 0 0.53/0.72 # Propositional check models : 0 0.53/0.72 # Propositional check unsatisfiable : 0 0.53/0.72 # Propositional clauses : 0 0.53/0.72 # Propositional clauses after purity: 0 0.53/0.72 # Propositional unsat core size : 0 0.53/0.72 # Propositional preprocessing time : 0.000 0.53/0.72 # Propositional encoding time : 0.000 0.53/0.72 # Propositional solver time : 0.000 0.53/0.72 # Success case prop preproc time : 0.000 0.53/0.72 # Success case prop encoding time : 0.000 0.53/0.72 # Success case prop solver time : 0.000 0.53/0.72 # Current number of processed clauses : 840 0.53/0.72 # Positive orientable unit clauses : 89 0.53/0.72 # Positive unorientable unit clauses: 0 0.53/0.72 # Negative unit clauses : 21 0.53/0.72 # Non-unit-clauses : 730 0.53/0.72 # Current number of unprocessed clauses: 7974 0.53/0.72 # ...number of literals in the above : 30282 0.53/0.72 # Current number of archived formulas : 0 0.53/0.72 # Current number of archived clauses : 46 0.53/0.72 # Clause-clause subsumption calls (NU) : 76894 0.53/0.72 # Rec. Clause-clause subsumption calls : 45095 0.53/0.72 # Non-unit clause-clause subsumptions : 704 0.53/0.72 # Unit Clause-clause subsumption calls : 2050 0.53/0.72 # Rewrite failures with RHS unbound : 0 0.53/0.72 # BW rewrite match attempts : 27 0.53/0.72 # BW rewrite match successes : 16 0.53/0.72 # Condensation attempts : 0 0.53/0.72 # Condensation successes : 0 0.53/0.72 # Termbank termtop insertions : 144978 0.53/0.72 0.53/0.72 # ------------------------------------------------- 0.53/0.72 # User time : 0.340 s 0.53/0.72 # System time : 0.017 s 0.53/0.72 # Total time : 0.358 s 0.53/0.72 # Maximum resident set size: 2408 pages 0.53/0.72 EOF