0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.15/0.15 % 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 0.15/0.36 % Computer : n006.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Jul 13 15:28:25 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 # Version: 2.6rc1-ho 0.15/0.38 # No SInE strategy applied 0.15/0.38 # Trying AutoSched0 for 59 seconds 0.36/0.56 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.36/0.56 # and selection function SelectComplexExceptUniqMaxHorn. 0.36/0.56 # 0.36/0.56 # Preprocessing time : 0.068 s 0.36/0.56 # Presaturation interreduction done 0.36/0.56 0.36/0.56 # Proof found! 0.36/0.56 # SZS status Theorem 0.36/0.56 # SZS output start CNFRefutation 0.36/0.56 thf(conj_0, conjecture, (((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))=(listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)<=ord_less_nat @ n @ (size_size_list_a @ xs))&(~(ord_less_nat @ n @ (size_size_list_a @ xs))=>(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))=(listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.36/0.56 thf(fact_33_i__append__i__drop__eq1, axiom, ![X2:nat, X4:list_a, X95:nat > a]:((listIn1417627087drop_a @ X2 @ (listIn1312259492pend_a @ X4 @ X95))=(listIn1312259492pend_a @ (drop_a @ X2 @ X4) @ X95)<=ord_less_eq_nat @ X2 @ (size_size_list_a @ X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_33_i__append__i__drop__eq1)). 0.36/0.56 thf(fact_178_dual__order_Ostrict__iff__order, axiom, (ord_less_nat)=(^[X29:nat, X30:nat]:(ord_less_eq_nat @ X29 @ X30&(X30)!=(X29))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_178_dual__order_Ostrict__iff__order)). 0.36/0.56 thf(fact_187_not__le__imp__less, axiom, ![X11:nat, X10:nat]:(~(ord_less_eq_nat @ X11 @ X10)=>ord_less_nat @ X10 @ X11), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_187_not__le__imp__less)). 0.36/0.56 thf(fact_35_i__append__i__drop__eq2, axiom, ![X4:list_a, X2:nat, X64:nat > a]:((listIn1417627087drop_a @ X2 @ (listIn1312259492pend_a @ X4 @ X64))=(listIn1417627087drop_a @ (minus_minus_nat @ X2 @ (size_size_list_a @ X4)) @ X64)<=ord_less_eq_nat @ (size_size_list_a @ X4) @ X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_35_i__append__i__drop__eq2)). 0.36/0.56 thf(c_0_5, negated_conjecture, ~(((ord_less_nat @ n @ (size_size_list_a @ xs)=>(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))=(listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))&(~ord_less_nat @ n @ (size_size_list_a @ xs)=>(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))=(listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.36/0.56 thf(c_0_6, plain, ![X2:nat, X4:list_a, X95:nat > a]:(ord_less_eq_nat @ X2 @ (size_size_list_a @ X4)=>(listIn1417627087drop_a @ X2 @ (listIn1312259492pend_a @ X4 @ X95))=(listIn1312259492pend_a @ (drop_a @ X2 @ X4) @ X95)), inference(fof_simplification,[status(thm)],[fact_33_i__append__i__drop__eq1])). 0.36/0.56 thf(c_0_7, plain, ![X29:nat, X30:nat]:(ord_less_nat @ X29 @ X30<=>(ord_less_eq_nat @ X29 @ X30&(X30)!=(X29))), inference(fof_simplification,[status(thm)],[fact_178_dual__order_Ostrict__iff__order])). 0.36/0.56 thf(c_0_8, negated_conjecture, (((~ord_less_nat @ n @ (size_size_list_a @ xs)|ord_less_nat @ n @ (size_size_list_a @ xs))&((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)|ord_less_nat @ n @ (size_size_list_a @ xs)))&((~ord_less_nat @ n @ (size_size_list_a @ xs)|(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1312259492pend_a @ (drop_a @ n @ xs) @ f))&((listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)|(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])). 0.36/0.56 thf(c_0_9, plain, ![X1222:nat, X1223:list_a, X1224:nat > a]:(~ord_less_eq_nat @ X1222 @ (size_size_list_a @ X1223)|(listIn1417627087drop_a @ X1222 @ (listIn1312259492pend_a @ X1223 @ X1224))=(listIn1312259492pend_a @ (drop_a @ X1222 @ X1223) @ X1224)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.36/0.56 thf(c_0_10, plain, ![X932:nat, X933:nat]:(((ord_less_eq_nat @ X932 @ X933|~ord_less_nat @ X932 @ X933)&((X933)!=(X932)|~ord_less_nat @ X932 @ X933))&(~ord_less_eq_nat @ X932 @ X933|(X933)=(X932)|ord_less_nat @ X932 @ X933)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 0.36/0.56 thf(c_0_11, plain, ![X11:nat, X10:nat]:(~ord_less_eq_nat @ X11 @ X10=>ord_less_nat @ X10 @ X11), inference(fof_simplification,[status(thm)],[fact_187_not__le__imp__less])). 0.36/0.56 thf(c_0_12, plain, ![X4:list_a, X2:nat, X64:nat > a]:(ord_less_eq_nat @ (size_size_list_a @ X4) @ X2=>(listIn1417627087drop_a @ X2 @ (listIn1312259492pend_a @ X4 @ X64))=(listIn1417627087drop_a @ (minus_minus_nat @ X2 @ (size_size_list_a @ X4)) @ X64)), inference(fof_simplification,[status(thm)],[fact_35_i__append__i__drop__eq2])). 0.36/0.56 thf(c_0_13, negated_conjecture, (~ord_less_nat @ n @ (size_size_list_a @ xs)|(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1312259492pend_a @ (drop_a @ n @ xs) @ f)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.36/0.56 thf(c_0_14, plain, ![X9:nat > a, X1:nat, X4:list_a]:((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X4 @ X9))=(listIn1312259492pend_a @ (drop_a @ X1 @ X4) @ X9)|~ord_less_eq_nat @ X1 @ (size_size_list_a @ X4)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.36/0.56 thf(c_0_15, plain, ![X1:nat, X2:nat]:(ord_less_eq_nat @ X1 @ X2|~ord_less_nat @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_10])). 0.36/0.56 thf(c_0_16, plain, ![X936:nat, X937:nat]:(ord_less_eq_nat @ X936 @ X937|ord_less_nat @ X937 @ X936), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])). 0.36/0.56 thf(c_0_17, plain, ![X1118:list_a, X1119:nat, X1120:nat > a]:(~ord_less_eq_nat @ (size_size_list_a @ X1118) @ X1119|(listIn1417627087drop_a @ X1119 @ (listIn1312259492pend_a @ X1118 @ X1120))=(listIn1417627087drop_a @ (minus_minus_nat @ X1119 @ (size_size_list_a @ X1118)) @ X1120)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])). 0.36/0.56 thf(c_0_18, negated_conjecture, ~ord_less_nat @ n @ (size_size_list_a @ xs), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])). 0.36/0.56 thf(c_0_19, plain, ![X2:nat, X1:nat]:(ord_less_eq_nat @ X1 @ X2|ord_less_nat @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_16])). 0.36/0.56 thf(c_0_20, negated_conjecture, (ord_less_nat @ n @ (size_size_list_a @ xs)|(listIn1417627087drop_a @ n @ (listIn1312259492pend_a @ xs @ f))!=(listIn1417627087drop_a @ (minus_minus_nat @ n @ (size_size_list_a @ xs)) @ f)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.36/0.56 thf(c_0_21, plain, ![X4:list_a, X9:nat > a, X1:nat]:((listIn1417627087drop_a @ X1 @ (listIn1312259492pend_a @ X4 @ X9))=(listIn1417627087drop_a @ (minus_minus_nat @ X1 @ (size_size_list_a @ X4)) @ X9)|~ord_less_eq_nat @ (size_size_list_a @ X4) @ X1), inference(split_conjunct,[status(thm)],[c_0_17])). 0.36/0.56 thf(c_0_22, negated_conjecture, ord_less_eq_nat @ (size_size_list_a @ xs) @ n, inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.36/0.56 thf(c_0_23, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])]), c_0_18]), ['proof']). 0.36/0.56 # SZS output end CNFRefutation 0.36/0.56 # Proof object total steps : 24 0.36/0.56 # Proof object clause steps : 9 0.36/0.56 # Proof object formula steps : 15 0.36/0.56 # Proof object conjectures : 8 0.36/0.56 # Proof object clause conjectures : 5 0.36/0.56 # Proof object formula conjectures : 3 0.36/0.56 # Proof object initial clauses used : 6 0.36/0.56 # Proof object initial formulas used : 5 0.36/0.56 # Proof object generating inferences : 3 0.36/0.56 # Proof object simplifying inferences : 4 0.36/0.56 # Training examples: 0 positive, 0 negative 0.36/0.56 # Parsed axioms : 286 0.36/0.56 # Removed by relevancy pruning/SinE : 0 0.36/0.56 # Initial clauses : 664 0.36/0.56 # Removed in clause preprocessing : 64 0.36/0.56 # Initial clauses in saturation : 600 0.36/0.56 # Processed clauses : 1700 0.36/0.56 # ...of these trivial : 38 0.36/0.56 # ...subsumed : 670 0.36/0.56 # ...remaining for further processing : 992 0.36/0.56 # Other redundant clauses eliminated : 75 0.36/0.56 # Clauses deleted for lack of memory : 0 0.36/0.56 # Backward-subsumed : 0 0.36/0.56 # Backward-rewritten : 7 0.36/0.56 # Generated clauses : 3931 0.36/0.56 # ...of the previous two non-trivial : 3536 0.36/0.56 # Contextual simplify-reflections : 3 0.36/0.56 # Paramodulations : 3802 0.36/0.56 # Factorizations : 4 0.36/0.56 # NegExts : 19 0.36/0.56 # Equation resolutions : 97 0.36/0.56 # Propositional unsat checks : 0 0.36/0.56 # Propositional check models : 0 0.36/0.56 # Propositional check unsatisfiable : 0 0.36/0.56 # Propositional clauses : 0 0.36/0.56 # Propositional clauses after purity: 0 0.36/0.56 # Propositional unsat core size : 0 0.36/0.56 # Propositional preprocessing time : 0.000 0.36/0.56 # Propositional encoding time : 0.000 0.36/0.56 # Propositional solver time : 0.000 0.36/0.56 # Success case prop preproc time : 0.000 0.36/0.56 # Success case prop encoding time : 0.000 0.36/0.56 # Success case prop solver time : 0.000 0.36/0.56 # Current number of processed clauses : 532 0.36/0.56 # Positive orientable unit clauses : 85 0.36/0.56 # Positive unorientable unit clauses: 2 0.36/0.56 # Negative unit clauses : 247 0.36/0.56 # Non-unit-clauses : 198 0.36/0.56 # Current number of unprocessed clauses: 2829 0.36/0.56 # ...number of literals in the above : 6290 0.36/0.56 # Current number of archived formulas : 0 0.36/0.56 # Current number of archived clauses : 403 0.36/0.56 # Clause-clause subsumption calls (NU) : 70063 0.36/0.56 # Rec. Clause-clause subsumption calls : 16344 0.36/0.56 # Non-unit clause-clause subsumptions : 212 0.36/0.56 # Unit Clause-clause subsumption calls : 16952 0.36/0.56 # Rewrite failures with RHS unbound : 20 0.36/0.56 # BW rewrite match attempts : 99 0.36/0.56 # BW rewrite match successes : 12 0.36/0.56 # Condensation attempts : 0 0.36/0.56 # Condensation successes : 0 0.36/0.56 # Termbank termtop insertions : 99961 0.36/0.57 0.36/0.57 # ------------------------------------------------- 0.36/0.57 # User time : 0.189 s 0.36/0.57 # System time : 0.009 s 0.36/0.57 # Total time : 0.198 s 0.36/0.57 # Maximum resident set size: 2104 pages 0.36/0.57 EOF