0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % 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 0.12/0.34 % Computer : n008.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1200 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Jul 13 12:44:14 EDT 2021 0.12/0.34 % CPUTime : 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 # Version: 2.6rc1-ho 0.12/0.35 # No SInE strategy applied 0.12/0.35 # Trying AutoSched0 for 59 seconds 59.18/59.48 # AutoSched0-Mode selected heuristic h208_C09_12_F1_SE_CS_SP_PS_S070I 59.18/59.48 # and selection function SelectVGNonCR. 59.18/59.48 # 59.18/59.48 # Preprocessing time : 0.059 s 59.18/59.48 # Presaturation interreduction done 59.32/59.64 # No success with AutoSched0 59.32/59.64 # Trying AutoSched1 for 26 seconds 85.30/85.76 # AutoSched1-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y 85.30/85.76 # and selection function SelectMaxLComplexAvoidPosPred. 85.30/85.76 # 85.30/85.76 # Preprocessing time : 0.052 s 85.30/85.76 # Presaturation interreduction done 85.34/85.81 # No success with AutoSched1 85.34/85.81 # Trying AutoSched2 for 8 seconds 85.96/86.45 # AutoSched2-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S 85.96/86.45 # and selection function SelectNewComplexAHP. 85.96/86.45 # 85.96/86.45 # Preprocessing time : 0.052 s 85.96/86.45 # Presaturation interreduction done 85.96/86.45 85.96/86.45 # Proof found! 85.96/86.45 # SZS status Theorem 85.96/86.45 # SZS output start CNFRefutation 85.96/86.45 thf(fact_113_Graph_OisShortestPath__min__dist__def, axiom, (isShor1936442771pacity)=(^[X51:product_prod_nat_nat > capacity, X52:nat, X44:list_P559422087at_nat, X53:nat]:((size_s1990949619at_nat @ X44)=(min_dist_capacity @ X51 @ X52 @ X53)&isPath_capacity @ X51 @ X52 @ X44 @ X53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_113_Graph_OisShortestPath__min__dist__def)). 85.96/86.45 thf(fact_75_add_Ocommute, axiom, (plus_plus_nat)=(^[X40:nat, X41:nat]:plus_plus_nat @ X41 @ X40), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_75_add_Ocommute)). 85.96/86.45 thf(conj_0, conjecture, ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 85.96/86.45 thf(fact_92_add__mono__thms__linordered__field_I3_J, axiom, ![X30:nat, X31:nat, X32:nat, X33:nat]:((ord_less_nat @ X30 @ X31&ord_less_eq_nat @ X32 @ X33)=>ord_less_nat @ (plus_plus_nat @ X30 @ X32) @ (plus_plus_nat @ X31 @ X33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_92_add__mono__thms__linordered__field_I3_J)). 85.96/86.45 thf(fact_7_SP, axiom, isShor1936442771pacity @ c @ s @ p @ t, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7_SP)). 85.96/86.45 thf(fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062, axiom, ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062)). 85.96/86.45 thf(fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062, axiom, (min_dist_capacity @ c @ s @ t)=(plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062)). 85.96/86.45 thf(fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062, axiom, ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062)). 85.96/86.45 thf(c_0_8, plain, ![X51:product_prod_nat_nat > capacity, X52:nat, X44:list_P559422087at_nat, X53:nat]:(isShor1936442771pacity @ X51 @ X52 @ X44 @ X53<=>((size_s1990949619at_nat @ X44)=(min_dist_capacity @ X51 @ X52 @ X53)&isPath_capacity @ X51 @ X52 @ X44 @ X53)), inference(fof_simplification,[status(thm)],[fact_113_Graph_OisShortestPath__min__dist__def])). 85.96/86.45 thf(c_0_9, plain, ![X40:nat, X41:nat]:(plus_plus_nat @ X40 @ X41)=(plus_plus_nat @ X41 @ X40), inference(fof_simplification,[status(thm)],[fact_75_add_Ocommute])). 85.96/86.45 thf(c_0_10, plain, ![X1007:product_prod_nat_nat > capacity, X1008:nat, X1009:list_P559422087at_nat, X1010:nat]:((((size_s1990949619at_nat @ X1009)=(min_dist_capacity @ X1007 @ X1008 @ X1010)|~isShor1936442771pacity @ X1007 @ X1008 @ X1009 @ X1010)&(isPath_capacity @ X1007 @ X1008 @ X1009 @ X1010|~isShor1936442771pacity @ X1007 @ X1008 @ X1009 @ X1010))&((size_s1990949619at_nat @ X1009)!=(min_dist_capacity @ X1007 @ X1008 @ X1010)|~isPath_capacity @ X1007 @ X1008 @ X1009 @ X1010|isShor1936442771pacity @ X1007 @ X1008 @ X1009 @ X1010)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 85.96/86.45 thf(c_0_11, negated_conjecture, ~ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 85.96/86.45 thf(c_0_12, plain, ![X948:nat, X949:nat]:(plus_plus_nat @ X948 @ X949)=(plus_plus_nat @ X949 @ X948), inference(variable_rename,[status(thm)],[c_0_9])). 85.96/86.45 thf(c_0_13, plain, ![X1265:nat, X1266:nat, X1267:nat, X1268:nat]:(~ord_less_nat @ X1265 @ X1266|~ord_less_eq_nat @ X1267 @ X1268|ord_less_nat @ (plus_plus_nat @ X1265 @ X1267) @ (plus_plus_nat @ X1266 @ X1268)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_add__mono__thms__linordered__field_I3_J])])). 85.96/86.45 thf(c_0_14, plain, ![X5:list_P559422087at_nat, X1:nat, X25:product_prod_nat_nat > capacity, X2:nat]:((size_s1990949619at_nat @ X5)=(min_dist_capacity @ X25 @ X1 @ X2)|~isShor1936442771pacity @ X25 @ X1 @ X5 @ X2), inference(split_conjunct,[status(thm)],[c_0_10])). 85.96/86.45 thf(c_0_15, plain, isShor1936442771pacity @ c @ s @ p @ t, inference(split_conjunct,[status(thm)],[fact_7_SP])). 85.96/86.45 thf(c_0_16, negated_conjecture, ~ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p1a) @ (size_s1990949619at_nat @ p2_a)), inference(split_conjunct,[status(thm)],[c_0_11])). 85.96/86.45 thf(c_0_17, plain, ![X2:nat, X1:nat]:(plus_plus_nat @ X1 @ X2)=(plus_plus_nat @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_12])). 85.96/86.45 thf(c_0_18, plain, ![X1:nat, X2:nat, X3:nat, X4:nat]:(ord_less_nat @ (plus_plus_nat @ X1 @ X3) @ (plus_plus_nat @ X2 @ X4)|~ord_less_nat @ X1 @ X2|~ord_less_eq_nat @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_13])). 85.96/86.45 thf(c_0_19, plain, ord_less_eq_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a), inference(split_conjunct,[status(thm)],[fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062])). 85.96/86.45 thf(c_0_20, plain, (min_dist_capacity @ c @ s @ t)=(plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t)), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062])). 85.96/86.45 thf(c_0_21, plain, (min_dist_capacity @ c @ s @ t)=(size_s1990949619at_nat @ p), inference(spm,[status(thm)],[c_0_14, c_0_15])). 85.96/86.45 thf(c_0_22, negated_conjecture, ~ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p2_a) @ (size_s1990949619at_nat @ p1a)), inference(rw,[status(thm)],[c_0_16, c_0_17])). 85.96/86.45 thf(c_0_23, plain, ![X1:nat, X2:nat]:(ord_less_nat @ (plus_plus_nat @ X1 @ (min_dist_capacity @ c @ ua @ t)) @ (plus_plus_nat @ X2 @ (size_s1990949619at_nat @ p2_a))|~ord_less_nat @ X1 @ X2), inference(spm,[status(thm)],[c_0_18, c_0_19])). 85.96/86.45 thf(c_0_24, plain, ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ (size_s1990949619at_nat @ p1a), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062])). 85.96/86.45 thf(c_0_25, plain, (plus_plus_nat @ (min_dist_capacity @ c @ s @ ua) @ (min_dist_capacity @ c @ ua @ t))=(size_s1990949619at_nat @ p), inference(rw,[status(thm)],[c_0_20, c_0_21])). 85.96/86.45 thf(c_0_26, negated_conjecture, ~ord_less_nat @ (size_s1990949619at_nat @ p) @ (plus_plus_nat @ (size_s1990949619at_nat @ p2_a) @ (size_s1990949619at_nat @ p1a)), inference(rw,[status(thm)],[c_0_22, c_0_21])). 85.96/86.45 thf(c_0_27, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_17]), c_0_26]), ['proof']). 85.96/86.45 # SZS output end CNFRefutation 85.96/86.45 # Proof object total steps : 28 85.96/86.45 # Proof object clause steps : 14 85.96/86.45 # Proof object formula steps : 14 85.96/86.45 # Proof object conjectures : 5 85.96/86.45 # Proof object clause conjectures : 3 85.96/86.45 # Proof object formula conjectures : 2 85.96/86.45 # Proof object initial clauses used : 8 85.96/86.45 # Proof object initial formulas used : 8 85.96/86.45 # Proof object generating inferences : 3 85.96/86.45 # Proof object simplifying inferences : 6 85.96/86.45 # Training examples: 0 positive, 0 negative 85.96/86.45 # Parsed axioms : 315 85.96/86.45 # Removed by relevancy pruning/SinE : 0 85.96/86.45 # Initial clauses : 515 85.96/86.45 # Removed in clause preprocessing : 65 85.96/86.45 # Initial clauses in saturation : 450 85.96/86.45 # Processed clauses : 5517 85.96/86.45 # ...of these trivial : 189 85.96/86.45 # ...subsumed : 2825 85.96/86.45 # ...remaining for further processing : 2503 85.96/86.45 # Other redundant clauses eliminated : 1237 85.96/86.45 # Clauses deleted for lack of memory : 0 85.96/86.45 # Backward-subsumed : 35 85.96/86.45 # Backward-rewritten : 96 85.96/86.45 # Generated clauses : 33542 85.96/86.45 # ...of the previous two non-trivial : 29277 85.96/86.45 # Contextual simplify-reflections : 6 85.96/86.45 # Paramodulations : 28819 85.96/86.45 # Factorizations : 8 85.96/86.45 # NegExts : 712 85.96/86.45 # Equation resolutions : 1248 85.96/86.45 # Propositional unsat checks : 0 85.96/86.45 # Propositional check models : 0 85.96/86.45 # Propositional check unsatisfiable : 0 85.96/86.45 # Propositional clauses : 0 85.96/86.45 # Propositional clauses after purity: 0 85.96/86.45 # Propositional unsat core size : 0 85.96/86.45 # Propositional preprocessing time : 0.000 85.96/86.45 # Propositional encoding time : 0.000 85.96/86.45 # Propositional solver time : 0.000 85.96/86.45 # Success case prop preproc time : 0.000 85.96/86.45 # Success case prop encoding time : 0.000 85.96/86.45 # Success case prop solver time : 0.000 85.96/86.45 # Current number of processed clauses : 1915 85.96/86.45 # Positive orientable unit clauses : 370 85.96/86.45 # Positive unorientable unit clauses: 3 85.96/86.45 # Negative unit clauses : 842 85.96/86.45 # Non-unit-clauses : 700 85.96/86.45 # Current number of unprocessed clauses: 24325 85.96/86.45 # ...number of literals in the above : 53894 85.96/86.45 # Current number of archived formulas : 0 85.96/86.45 # Current number of archived clauses : 535 85.96/86.45 # Clause-clause subsumption calls (NU) : 47540 85.96/86.45 # Rec. Clause-clause subsumption calls : 40671 85.96/86.45 # Non-unit clause-clause subsumptions : 557 85.96/86.45 # Unit Clause-clause subsumption calls : 41419 85.96/86.45 # Rewrite failures with RHS unbound : 0 85.96/86.45 # BW rewrite match attempts : 279 85.96/86.45 # BW rewrite match successes : 77 85.96/86.45 # Condensation attempts : 0 85.96/86.45 # Condensation successes : 0 85.96/86.45 # Termbank termtop insertions : 458712 85.96/86.45 85.96/86.45 # ------------------------------------------------- 85.96/86.45 # User time : 84.105 s 85.96/86.45 # System time : 1.751 s 85.96/86.45 # Total time : 85.856 s 85.96/86.45 # Maximum resident set size: 2100 pages 85.96/86.45 EOF