0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.17 % 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 0.16/0.38 % Computer : n009.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % WCLimit : 120 0.16/0.38 % DateTime : Tue Jul 13 12:31:42 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Number of cores: 8 0.16/0.39 % Python version: Python 3.6.8 0.16/0.39 # Version: 2.6rc1-ho 0.24/0.40 # No SInE strategy applied 0.24/0.40 # Trying AutoSched0 for 59 seconds 0.53/0.70 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 0.53/0.70 # and selection function SelectMaxLComplexAvoidPosPred. 0.53/0.70 # 0.53/0.70 # Preprocessing time : 0.079 s 0.53/0.70 0.53/0.70 # Proof found! 0.53/0.70 # SZS status Theorem 0.53/0.70 # SZS output start CNFRefutation 0.53/0.70 thf(fact_184_less__or__eq__imp__le, axiom, ![X12:nat, X5:nat]:(ord_less_eq_nat @ X12 @ X5<=((X12)=(X5)|ord_less_nat @ X12 @ X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_184_less__or__eq__imp__le)). 0.53/0.70 thf(conj_1, hypothesis, ![X281:nat]:(![X271:nat]:(((X281)=(X271)<=(g @ X281)=(g @ X271))<=ord_less_eq_nat @ X271 @ m2)<=ord_less_eq_nat @ X281 @ m2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 0.53/0.70 thf(fact_136_le__antisym, axiom, ![X12:nat, X5:nat]:(ord_less_eq_nat @ X12 @ X5=>((X12)=(X5)<=ord_less_eq_nat @ X5 @ X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_136_le__antisym)). 0.53/0.70 thf(conj_21, conjecture, member_a @ (g @ xa) @ h1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_21)). 0.53/0.70 thf(conj_3, hypothesis, (g @ m2)=(h2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_3)). 0.53/0.70 thf(conj_20, hypothesis, ((g @ xa)=(h2)|member_a @ (g @ xa) @ h1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_20)). 0.53/0.70 thf(fact_196_not__less__eq, axiom, ![X12:nat, X5:nat]:(~(ord_less_nat @ X12 @ X5)<=>ord_less_nat @ X5 @ (suc @ X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_196_not__less__eq)). 0.53/0.70 thf(conj_19, hypothesis, ord_less_eq_nat @ xa @ (minus_minus_nat @ m2 @ (suc @ zero_zero_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_19)). 0.53/0.70 thf(fact_187_nat__less__le, axiom, (ord_less_nat)=(^[X170:nat, X157:nat]:((X170)!=(X157)&ord_less_eq_nat @ X170 @ X157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_187_nat__less__le)). 0.53/0.70 thf(fact_135_nat__le__linear, axiom, ![X12:nat, X5:nat]:(ord_less_eq_nat @ X5 @ X12|ord_less_eq_nat @ X12 @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_135_nat__le__linear)). 0.53/0.70 thf(fact_254_diff__less__Suc, axiom, ![X12:nat, X5:nat]:ord_less_nat @ (minus_minus_nat @ X12 @ X5) @ (suc @ X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_254_diff__less__Suc)). 0.53/0.70 thf(fact_222_less__imp__diff__less, axiom, ![X26:nat, X58:nat, X5:nat]:(ord_less_nat @ X26 @ X58=>ord_less_nat @ (minus_minus_nat @ X26 @ X5) @ X58), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_222_less__imp__diff__less)). 0.53/0.70 thf(fact_256_diff__less, axiom, ![X5:nat, X12:nat]:((ord_less_nat @ (minus_minus_nat @ X12 @ X5) @ X12<=ord_less_nat @ zero_zero_nat @ X12)<=ord_less_nat @ zero_zero_nat @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_256_diff__less)). 0.53/0.70 thf(fact_214_diff__le__self, axiom, ![X12:nat, X5:nat]:ord_less_eq_nat @ (minus_minus_nat @ X12 @ X5) @ X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_214_diff__le__self)). 0.53/0.70 thf(fact_143_less__irrefl__nat, axiom, ![X5:nat]:~(ord_less_nat @ X5 @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_143_less__irrefl__nat)). 0.53/0.70 thf(fact_92_zero__less__Suc, axiom, ![X5:nat]:ord_less_nat @ zero_zero_nat @ (suc @ X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_92_zero__less__Suc)). 0.53/0.70 thf(conj_16, hypothesis, ord_less_nat @ zero_zero_nat @ m2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_16)). 0.53/0.70 thf(c_0_17, plain, ![X12:nat, X5:nat]:(((X12)=(X5)|ord_less_nat @ X12 @ X5)=>ord_less_eq_nat @ X12 @ X5), inference(fof_simplification,[status(thm)],[fact_184_less__or__eq__imp__le])). 0.53/0.70 thf(c_0_18, hypothesis, ![X281:nat]:(ord_less_eq_nat @ X281 @ m2=>![X271:nat]:(ord_less_eq_nat @ X271 @ m2=>((g @ X281)=(g @ X271)=>(X281)=(X271)))), inference(fof_simplification,[status(thm)],[conj_1])). 0.53/0.70 thf(c_0_19, plain, ![X1469:nat, X1470:nat]:(((X1469)!=(X1470)|ord_less_eq_nat @ X1469 @ X1470)&(~ord_less_nat @ X1469 @ X1470|ord_less_eq_nat @ X1469 @ X1470)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 0.53/0.70 thf(c_0_20, plain, ![X12:nat, X5:nat]:(ord_less_eq_nat @ X12 @ X5=>(ord_less_eq_nat @ X5 @ X12=>(X12)=(X5))), inference(fof_simplification,[status(thm)],[fact_136_le__antisym])). 0.53/0.70 thf(c_0_21, hypothesis, ![X2027:nat, X2028:nat]:(~ord_less_eq_nat @ X2027 @ m2|(~ord_less_eq_nat @ X2028 @ m2|((g @ X2027)!=(g @ X2028)|(X2027)=(X2028)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])). 0.53/0.70 thf(c_0_22, plain, ![X5:nat, X12:nat]:(ord_less_eq_nat @ X5 @ X12|(X5)!=(X12)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.53/0.70 thf(c_0_23, negated_conjecture, ~member_a @ (g @ xa) @ h1, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_21])])). 0.53/0.70 thf(c_0_24, plain, ![X2044:nat, X2045:nat]:(~ord_less_eq_nat @ X2044 @ X2045|(~ord_less_eq_nat @ X2045 @ X2044|(X2044)=(X2045))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])). 0.53/0.70 thf(c_0_25, hypothesis, ![X5:nat, X12:nat]:((X5)=(X12)|~ord_less_eq_nat @ X5 @ m2|~ord_less_eq_nat @ X12 @ m2|(g @ X5)!=(g @ X12)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.53/0.70 thf(c_0_26, hypothesis, (g @ m2)=(h2), inference(split_conjunct,[status(thm)],[conj_3])). 0.53/0.70 thf(c_0_27, plain, ![X5:nat]:ord_less_eq_nat @ X5 @ X5, inference(er,[status(thm)],[c_0_22])). 0.53/0.70 thf(c_0_28, hypothesis, ((g @ xa)=(h2)|member_a @ (g @ xa) @ h1), inference(split_conjunct,[status(thm)],[conj_20])). 0.53/0.70 thf(c_0_29, negated_conjecture, ~member_a @ (g @ xa) @ h1, inference(split_conjunct,[status(thm)],[c_0_23])). 0.53/0.70 thf(c_0_30, plain, ![X12:nat, X5:nat]:(~ord_less_nat @ X12 @ X5<=>ord_less_nat @ X5 @ (suc @ X12)), inference(fof_simplification,[status(thm)],[fact_196_not__less__eq])). 0.53/0.70 thf(c_0_31, plain, ![X12:nat, X5:nat]:((X5)=(X12)|~ord_less_eq_nat @ X5 @ X12|~ord_less_eq_nat @ X12 @ X5), inference(split_conjunct,[status(thm)],[c_0_24])). 0.53/0.70 thf(c_0_32, hypothesis, ord_less_eq_nat @ xa @ (minus_minus_nat @ m2 @ (suc @ zero_zero_nat)), inference(split_conjunct,[status(thm)],[conj_19])). 0.53/0.70 thf(c_0_33, plain, ![X170:nat, X157:nat]:(ord_less_nat @ X170 @ X157<=>((X170)!=(X157)&ord_less_eq_nat @ X170 @ X157)), inference(fof_simplification,[status(thm)],[fact_187_nat__less__le])). 0.53/0.70 thf(c_0_34, hypothesis, ![X5:nat]:((X5)=(m2)|(g @ X5)!=(h2)|~ord_less_eq_nat @ X5 @ m2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])])). 0.53/0.70 thf(c_0_35, hypothesis, (g @ xa)=(h2), inference(sr,[status(thm)],[c_0_28, c_0_29])). 0.53/0.70 thf(c_0_36, plain, ![X2181:nat, X2182:nat]:(ord_less_eq_nat @ X2182 @ X2181|ord_less_eq_nat @ X2181 @ X2182), inference(variable_rename,[status(thm)],[fact_135_nat__le__linear])). 0.53/0.70 thf(c_0_37, plain, ![X1360:nat, X1361:nat]:((ord_less_nat @ X1360 @ X1361|ord_less_nat @ X1361 @ (suc @ X1360))&(~ord_less_nat @ X1361 @ (suc @ X1360)|~ord_less_nat @ X1360 @ X1361)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])). 0.53/0.70 thf(c_0_38, plain, ![X1821:nat, X1822:nat]:ord_less_nat @ (minus_minus_nat @ X1821 @ X1822) @ (suc @ X1821), inference(variable_rename,[status(thm)],[fact_254_diff__less__Suc])). 0.53/0.70 thf(c_0_39, hypothesis, ((minus_minus_nat @ m2 @ (suc @ zero_zero_nat))=(xa)|~ord_less_eq_nat @ (minus_minus_nat @ m2 @ (suc @ zero_zero_nat)) @ xa), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.53/0.70 thf(c_0_40, plain, ![X5:nat, X12:nat]:(ord_less_eq_nat @ X5 @ X12|~ord_less_nat @ X5 @ X12), inference(split_conjunct,[status(thm)],[c_0_19])). 0.53/0.70 thf(c_0_41, plain, ![X2062:nat, X2063:nat, X2064:nat]:(~ord_less_nat @ X2062 @ X2063|ord_less_nat @ (minus_minus_nat @ X2062 @ X2064) @ X2063), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_222_less__imp__diff__less])])). 0.53/0.70 thf(c_0_42, plain, ![X1732:nat, X1733:nat]:((((X1732)!=(X1733)|~ord_less_nat @ X1732 @ X1733)&(ord_less_eq_nat @ X1732 @ X1733|~ord_less_nat @ X1732 @ X1733))&((X1732)=(X1733)|~ord_less_eq_nat @ X1732 @ X1733|ord_less_nat @ X1732 @ X1733)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])). 0.53/0.70 thf(c_0_43, hypothesis, ((xa)=(m2)|~ord_less_eq_nat @ xa @ m2), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.53/0.70 thf(c_0_44, plain, ![X12:nat, X5:nat]:(ord_less_eq_nat @ X5 @ X12|ord_less_eq_nat @ X12 @ X5), inference(split_conjunct,[status(thm)],[c_0_36])). 0.53/0.70 thf(c_0_45, plain, ![X12:nat, X5:nat]:(~ord_less_nat @ X5 @ (suc @ X12)|~ord_less_nat @ X12 @ X5), inference(split_conjunct,[status(thm)],[c_0_37])). 0.53/0.70 thf(c_0_46, plain, ![X12:nat, X5:nat]:ord_less_nat @ (minus_minus_nat @ X5 @ X12) @ (suc @ X5), inference(split_conjunct,[status(thm)],[c_0_38])). 0.53/0.70 thf(c_0_47, hypothesis, ((minus_minus_nat @ m2 @ (suc @ zero_zero_nat))=(xa)|~ord_less_nat @ (minus_minus_nat @ m2 @ (suc @ zero_zero_nat)) @ xa), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.53/0.70 thf(c_0_48, plain, ![X5:nat, X13:nat, X12:nat]:(ord_less_nat @ (minus_minus_nat @ X5 @ X13) @ X12|~ord_less_nat @ X5 @ X12), inference(split_conjunct,[status(thm)],[c_0_41])). 0.53/0.70 thf(c_0_49, plain, ![X5:nat, X12:nat]:((X5)=(X12)|ord_less_nat @ X5 @ X12|~ord_less_eq_nat @ X5 @ X12), inference(split_conjunct,[status(thm)],[c_0_42])). 0.53/0.70 thf(c_0_50, hypothesis, ((xa)=(m2)|ord_less_eq_nat @ m2 @ xa), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.53/0.70 thf(c_0_51, plain, ![X5:nat, X12:nat]:~ord_less_nat @ X5 @ (minus_minus_nat @ X5 @ X12), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.53/0.70 thf(c_0_52, hypothesis, ((minus_minus_nat @ m2 @ (suc @ zero_zero_nat))=(xa)|~ord_less_nat @ m2 @ xa), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.53/0.70 thf(c_0_53, plain, ![X5:nat, X12:nat]:(ord_less_nat @ zero_zero_nat @ X5=>(ord_less_nat @ zero_zero_nat @ X12=>ord_less_nat @ (minus_minus_nat @ X12 @ X5) @ X12)), inference(fof_simplification,[status(thm)],[fact_256_diff__less])). 0.53/0.70 thf(c_0_54, hypothesis, ((xa)=(m2)|ord_less_nat @ m2 @ xa), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.53/0.70 thf(c_0_55, hypothesis, ~ord_less_nat @ m2 @ xa, inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.53/0.70 thf(c_0_56, plain, ![X1727:nat, X1728:nat]:ord_less_eq_nat @ (minus_minus_nat @ X1727 @ X1728) @ X1727, inference(variable_rename,[status(thm)],[fact_214_diff__le__self])). 0.53/0.70 thf(c_0_57, plain, ![X5:nat]:~ord_less_nat @ X5 @ X5, inference(fof_simplification,[status(thm)],[fact_143_less__irrefl__nat])). 0.53/0.70 thf(c_0_58, plain, ![X2196:nat, X2197:nat]:(~ord_less_nat @ zero_zero_nat @ X2196|(~ord_less_nat @ zero_zero_nat @ X2197|ord_less_nat @ (minus_minus_nat @ X2197 @ X2196) @ X2197)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])). 0.53/0.70 thf(c_0_59, hypothesis, (xa)=(m2), inference(sr,[status(thm)],[c_0_54, c_0_55])). 0.53/0.70 thf(c_0_60, plain, ![X12:nat, X5:nat]:ord_less_eq_nat @ (minus_minus_nat @ X5 @ X12) @ X5, inference(split_conjunct,[status(thm)],[c_0_56])). 0.53/0.70 thf(c_0_61, plain, ![X2025:nat]:ord_less_nat @ zero_zero_nat @ (suc @ X2025), inference(variable_rename,[status(thm)],[fact_92_zero__less__Suc])). 0.53/0.70 thf(c_0_62, plain, ![X1394:nat]:~ord_less_nat @ X1394 @ X1394, inference(variable_rename,[status(thm)],[c_0_57])). 0.53/0.70 thf(c_0_63, plain, ![X5:nat, X12:nat]:(ord_less_nat @ (minus_minus_nat @ X12 @ X5) @ X12|~ord_less_nat @ zero_zero_nat @ X5|~ord_less_nat @ zero_zero_nat @ X12), inference(split_conjunct,[status(thm)],[c_0_58])). 0.53/0.70 thf(c_0_64, hypothesis, (minus_minus_nat @ m2 @ (suc @ zero_zero_nat))=(m2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_59]), c_0_59]), c_0_60])])). 0.53/0.70 thf(c_0_65, hypothesis, ord_less_nat @ zero_zero_nat @ m2, inference(split_conjunct,[status(thm)],[conj_16])). 0.53/0.70 thf(c_0_66, plain, ![X5:nat]:ord_less_nat @ zero_zero_nat @ (suc @ X5), inference(split_conjunct,[status(thm)],[c_0_61])). 0.53/0.70 thf(c_0_67, plain, ![X5:nat]:~ord_less_nat @ X5 @ X5, inference(split_conjunct,[status(thm)],[c_0_62])). 0.53/0.70 thf(c_0_68, hypothesis, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65]), c_0_66])]), c_0_67]), ['proof']). 0.53/0.70 # SZS output end CNFRefutation 0.53/0.70 # Proof object total steps : 69 0.53/0.70 # Proof object clause steps : 32 0.53/0.70 # Proof object formula steps : 37 0.53/0.70 # Proof object conjectures : 3 0.53/0.70 # Proof object clause conjectures : 1 0.53/0.70 # Proof object formula conjectures : 2 0.53/0.70 # Proof object initial clauses used : 18 0.53/0.70 # Proof object initial formulas used : 17 0.53/0.70 # Proof object generating inferences : 10 0.53/0.70 # Proof object simplifying inferences : 13 0.53/0.70 # Training examples: 0 positive, 0 negative 0.53/0.70 # Parsed axioms : 493 0.53/0.70 # Removed by relevancy pruning/SinE : 0 0.53/0.70 # Initial clauses : 670 0.53/0.70 # Removed in clause preprocessing : 126 0.53/0.70 # Initial clauses in saturation : 544 0.53/0.70 # Processed clauses : 859 0.53/0.70 # ...of these trivial : 19 0.53/0.70 # ...subsumed : 247 0.53/0.70 # ...remaining for further processing : 593 0.53/0.70 # Other redundant clauses eliminated : 254 0.53/0.70 # Clauses deleted for lack of memory : 0 0.53/0.70 # Backward-subsumed : 3 0.53/0.70 # Backward-rewritten : 22 0.53/0.70 # Generated clauses : 6110 0.53/0.70 # ...of the previous two non-trivial : 5208 0.53/0.70 # Contextual simplify-reflections : 4 0.53/0.70 # Paramodulations : 4702 0.53/0.70 # Factorizations : 6 0.53/0.70 # NegExts : 3 0.53/0.70 # Equation resolutions : 263 0.53/0.70 # Propositional unsat checks : 0 0.53/0.70 # Propositional check models : 0 0.53/0.70 # Propositional check unsatisfiable : 0 0.53/0.70 # Propositional clauses : 0 0.53/0.70 # Propositional clauses after purity: 0 0.53/0.70 # Propositional unsat core size : 0 0.53/0.70 # Propositional preprocessing time : 0.000 0.53/0.70 # Propositional encoding time : 0.000 0.53/0.70 # Propositional solver time : 0.000 0.53/0.70 # Success case prop preproc time : 0.000 0.53/0.70 # Success case prop encoding time : 0.000 0.53/0.70 # Success case prop solver time : 0.000 0.53/0.70 # Current number of processed clauses : 547 0.53/0.70 # Positive orientable unit clauses : 70 0.53/0.70 # Positive unorientable unit clauses: 1 0.53/0.70 # Negative unit clauses : 31 0.53/0.70 # Non-unit-clauses : 445 0.53/0.70 # Current number of unprocessed clauses: 4870 0.53/0.70 # ...number of literals in the above : 22645 0.53/0.70 # Current number of archived formulas : 0 0.53/0.70 # Current number of archived clauses : 27 0.53/0.70 # Clause-clause subsumption calls (NU) : 70477 0.53/0.70 # Rec. Clause-clause subsumption calls : 30862 0.53/0.70 # Non-unit clause-clause subsumptions : 132 0.53/0.70 # Unit Clause-clause subsumption calls : 6307 0.53/0.70 # Rewrite failures with RHS unbound : 0 0.53/0.70 # BW rewrite match attempts : 102 0.53/0.70 # BW rewrite match successes : 7 0.53/0.70 # Condensation attempts : 0 0.53/0.70 # Condensation successes : 0 0.53/0.70 # Termbank termtop insertions : 155699 0.53/0.70 0.53/0.70 # ------------------------------------------------- 0.53/0.70 # User time : 0.291 s 0.53/0.70 # System time : 0.013 s 0.53/0.70 # Total time : 0.304 s 0.53/0.70 # Maximum resident set size: 2500 pages 0.53/0.70 EOF