0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E %s %d THM 0.09/0.29 % Computer : n026.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1440 0.09/0.29 % WCLimit : 180 0.09/0.29 % DateTime : Thu Jul 4 08:04:24 EDT 2024 0.09/0.29 % CPUTime : 0.15/0.39 Running higher-order theorem proving 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p 0.15/0.58 # Version: 3.2.0-ho 0.15/0.58 # Preprocessing class: HSLSSMSMSSMCHSA. 0.15/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.58 # Starting post_as_ho6 with 900s (5) cores 0.15/0.58 # Starting post_as_ho8 with 180s (1) cores 0.15/0.58 # Starting new_bool_3 with 180s (1) cores 0.15/0.58 # Starting new_bool_1 with 180s (1) cores 0.15/0.58 # post_as_ho6 with pid 23853 completed with status 0 0.15/0.58 # Result found by post_as_ho6 0.15/0.58 # Preprocessing class: HSLSSMSMSSMCHSA. 0.15/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.58 # Starting post_as_ho6 with 900s (5) cores 0.15/0.58 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 0.15/0.58 # Search class: HGHSM-FSLM32-SHSFFSBC 0.15/0.58 # partial match(1): HGHSM-FSLM32-MHSFFSBC 0.15/0.58 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.15/0.58 # Starting ehoh_best4 with 437s (1) cores 0.15/0.58 # Starting post_as_ho6 with 91s (1) cores 0.15/0.58 # Starting sh1 with 82s (1) cores 0.15/0.58 # Starting almost_fo_4 with 82s (1) cores 0.15/0.58 # Starting new_bool_8 with 82s (1) cores 0.15/0.58 # post_as_ho6 with pid 23859 completed with status 0 0.15/0.58 # Result found by post_as_ho6 0.15/0.58 # Preprocessing class: HSLSSMSMSSMCHSA. 0.15/0.58 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.58 # Starting post_as_ho6 with 900s (5) cores 0.15/0.58 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 0.15/0.58 # Search class: HGHSM-FSLM32-SHSFFSBC 0.15/0.58 # partial match(1): HGHSM-FSLM32-MHSFFSBC 0.15/0.58 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.15/0.58 # Starting ehoh_best4 with 437s (1) cores 0.15/0.58 # Starting post_as_ho6 with 91s (1) cores 0.15/0.58 # Preprocessing time : 0.005 s 0.15/0.58 # Presaturation interreduction done 0.15/0.58 0.15/0.58 # Proof found! 0.15/0.58 # SZS status Theorem 0.15/0.58 # SZS output start CNFRefutation 0.15/0.58 thf(decl_sort1, type, product_prod_nat_nat: $tType). 0.15/0.58 thf(decl_sort2, type, nat: $tType). 0.15/0.58 thf(decl_sort3, type, capacity: $tType). 0.15/0.58 thf(decl_sort4, type, list_P559422087at_nat: $tType). 0.15/0.58 thf(decl_33, type, min_dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat). 0.15/0.58 thf(decl_36, type, plus_plus_nat: nat > nat > nat). 0.15/0.58 thf(decl_37, type, size_s1990949619at_nat: list_P559422087at_nat > nat). 0.15/0.58 thf(decl_39, type, ord_less_nat: nat > nat > $o). 0.15/0.58 thf(decl_40, type, ord_less_eq_nat: nat > nat > $o). 0.15/0.58 thf(decl_43, type, c: product_prod_nat_nat > capacity). 0.15/0.58 thf(decl_47, type, p1a: list_P559422087at_nat). 0.15/0.58 thf(decl_49, type, p2_a: list_P559422087at_nat). 0.15/0.58 thf(decl_51, type, s: nat). 0.15/0.58 thf(decl_52, type, t: nat). 0.15/0.58 thf(decl_54, type, ua: nat). 0.15/0.58 thf(fact_75_add_Ocommute, axiom, ((plus_plus_nat)=(^[X20:nat, X21:nat]:(plus_plus_nat @ X21 @ X20))), file('/export/starexec/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_75_add_Ocommute)). 0.15/0.58 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/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', conj_0)). 0.15/0.58 thf(fact_102_add__mono__thms__linordered__field_I5_J, axiom, ![X34:nat, X35:nat, X9:nat, X54:nat]:(((ord_less_nat @ (plus_plus_nat @ X34 @ X9) @ (plus_plus_nat @ X35 @ X54))<=((ord_less_nat @ X9 @ X54)&(ord_less_nat @ X34 @ X35)))), file('/export/starexec/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_102_add__mono__thms__linordered__field_I5_J)). 0.15/0.58 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/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062)). 0.15/0.58 thf(fact_60_nat__less__le, axiom, ((ord_less_nat)=(^[X37:nat, X38:nat]:(((ord_less_eq_nat @ X37 @ X38)&((X37)!=(X38)))))), file('/export/starexec/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_60_nat__less__le)). 0.15/0.58 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/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062)). 0.15/0.58 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/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062)). 0.15/0.58 thf(fact_3_nat__add__left__cancel__less, axiom, ![X9:nat, X8:nat, X10:nat]:(((ord_less_nat @ (plus_plus_nat @ X9 @ X8) @ (plus_plus_nat @ X9 @ X10))<=>(ord_less_nat @ X8 @ X10))), file('/export/starexec/sandbox/tmp/tmp.yC0THjHUBR/E---3.1_23775.p', fact_3_nat__add__left__cancel__less)). 0.15/0.58 thf(c_0_8, plain, ![X708:nat, X709:nat]:(((plus_plus_nat @ X708 @ X709)=(plus_plus_nat @ X709 @ X708))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_75_add_Ocommute])])). 0.15/0.58 thf(c_0_9, 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])])). 0.15/0.58 thf(c_0_10, plain, ![X34:nat, X35:nat, X9:nat, X54:nat]:((((ord_less_nat @ X9 @ X54)&(ord_less_nat @ X34 @ X35))=>(ord_less_nat @ (plus_plus_nat @ X34 @ X9) @ (plus_plus_nat @ X35 @ X54)))), inference(fof_simplification,[status(thm)],[fact_102_add__mono__thms__linordered__field_I5_J])). 0.15/0.58 thf(c_0_11, plain, ![X1014:nat, X1015:nat]:(((plus_plus_nat @ X1014 @ X1015)=(plus_plus_nat @ X1015 @ X1014))), inference(variable_rename,[status(thm)],[c_0_8])). 0.15/0.58 thf(c_0_12, 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_nnf,[status(thm)],[c_0_9])). 0.15/0.58 thf(c_0_13, plain, ![X1058:nat, X1059:nat, X1060:nat, X1061:nat]:((~(ord_less_nat @ X1060 @ X1061)|~(ord_less_nat @ X1058 @ X1059)|(ord_less_nat @ (plus_plus_nat @ X1058 @ X1060) @ (plus_plus_nat @ X1059 @ X1061)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])). 0.15/0.58 thf(c_0_14, 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])). 0.15/0.58 thf(c_0_15, plain, ![X2:nat, X1:nat]:(((plus_plus_nat @ X1 @ X2)=(plus_plus_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.15/0.58 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_12])). 0.15/0.58 thf(c_0_17, plain, ![X1:nat, X2:nat, X3:nat, X5:nat]:(((ord_less_nat @ (plus_plus_nat @ X3 @ X1) @ (plus_plus_nat @ X5 @ X2))|~((ord_less_nat @ X1 @ X2))|~((ord_less_nat @ X3 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.15/0.58 thf(c_0_18, plain, ((plus_plus_nat @ (min_dist_capacity @ c @ ua @ t) @ (min_dist_capacity @ c @ s @ ua))=(min_dist_capacity @ c @ s @ t)), inference(rw,[status(thm)],[c_0_14, c_0_15])). 0.15/0.58 thf(c_0_19, plain, ![X696:nat, X697:nat]:(((ord_less_nat @ X696 @ X697)<=>((ord_less_eq_nat @ X696 @ X697)&((X696)!=(X697))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_60_nat__less__le])])])). 0.15/0.58 thf(c_0_20, 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_15])). 0.15/0.58 thf(c_0_21, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ X1 @ X2))|~((ord_less_nat @ (min_dist_capacity @ c @ ua @ t) @ X1))|~((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.15/0.58 thf(c_0_22, 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])). 0.15/0.58 thf(c_0_23, plain, ![X766:nat, X767:nat]:(((((ord_less_eq_nat @ X766 @ X767)|~(ord_less_nat @ X766 @ X767))&(((X766)!=(X767))|~(ord_less_nat @ X766 @ X767)))&(~(ord_less_eq_nat @ X766 @ X767)|((X766)=(X767))|(ord_less_nat @ X766 @ X767)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 0.15/0.58 thf(c_0_24, negated_conjecture, ~((ord_less_nat @ (min_dist_capacity @ c @ ua @ t) @ (size_s1990949619at_nat @ p2_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])])). 0.15/0.58 thf(c_0_25, plain, ![X1:nat, X2:nat]:((((X1)=(X2))|(ord_less_nat @ X1 @ X2)|~((ord_less_eq_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.15/0.58 thf(c_0_26, 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])). 0.15/0.58 thf(c_0_27, plain, ![X915:nat, X916:nat, X917:nat]:(((~(ord_less_nat @ (plus_plus_nat @ X915 @ X916) @ (plus_plus_nat @ X915 @ X917))|(ord_less_nat @ X916 @ X917))&(~(ord_less_nat @ X916 @ X917)|(ord_less_nat @ (plus_plus_nat @ X915 @ X916) @ (plus_plus_nat @ X915 @ X917))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_nat__add__left__cancel__less])])])). 0.15/0.58 thf(c_0_28, negated_conjecture, ((min_dist_capacity @ c @ ua @ t)=(size_s1990949619at_nat @ p2_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])])). 0.15/0.58 thf(c_0_29, plain, ![X1:nat, X3:nat, X2:nat]:(((ord_less_nat @ (plus_plus_nat @ X3 @ X1) @ (plus_plus_nat @ X3 @ X2))|~((ord_less_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.15/0.58 thf(c_0_30, plain, ((plus_plus_nat @ (size_s1990949619at_nat @ p2_a) @ (min_dist_capacity @ c @ s @ ua))=(min_dist_capacity @ c @ s @ t)), inference(rw,[status(thm)],[c_0_18, c_0_28])). 0.15/0.58 thf(c_0_31, plain, ![X1:nat]:(((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ (size_s1990949619at_nat @ p2_a) @ X1))|~((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.15/0.58 thf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_31]), c_0_22])]), ['proof']). 0.15/0.58 # SZS output end CNFRefutation 0.15/0.58 # Parsed axioms : 315 0.15/0.58 # Removed by relevancy pruning/SinE : 107 0.15/0.58 # Initial clauses : 364 0.15/0.58 # Removed in clause preprocessing : 17 0.15/0.58 # Initial clauses in saturation : 347 0.15/0.58 # Processed clauses : 927 0.15/0.58 # ...of these trivial : 29 0.15/0.58 # ...subsumed : 364 0.15/0.58 # ...remaining for further processing : 534 0.15/0.58 # Other redundant clauses eliminated : 81 0.15/0.58 # Clauses deleted for lack of memory : 0 0.15/0.58 # Backward-subsumed : 12 0.15/0.58 # Backward-rewritten : 32 0.15/0.58 # Generated clauses : 4499 0.15/0.58 # ...of the previous two non-redundant : 4243 0.15/0.58 # ...aggressively subsumed : 0 0.15/0.58 # Contextual simplify-reflections : 4 0.15/0.58 # Paramodulations : 4405 0.15/0.58 # Factorizations : 6 0.15/0.58 # NegExts : 0 0.15/0.58 # Equation resolutions : 86 0.15/0.58 # Disequality decompositions : 0 0.15/0.58 # Total rewrite steps : 625 0.15/0.58 # ...of those cached : 463 0.15/0.58 # Propositional unsat checks : 0 0.15/0.58 # Propositional check models : 0 0.15/0.58 # Propositional check unsatisfiable : 0 0.15/0.58 # Propositional clauses : 0 0.15/0.58 # Propositional clauses after purity: 0 0.15/0.58 # Propositional unsat core size : 0 0.15/0.58 # Propositional preprocessing time : 0.000 0.15/0.58 # Propositional encoding time : 0.000 0.15/0.58 # Propositional solver time : 0.000 0.15/0.58 # Success case prop preproc time : 0.000 0.15/0.58 # Success case prop encoding time : 0.000 0.15/0.58 # Success case prop solver time : 0.000 0.15/0.58 # Current number of processed clauses : 281 0.15/0.58 # Positive orientable unit clauses : 46 0.15/0.58 # Positive unorientable unit clauses: 2 0.15/0.58 # Negative unit clauses : 27 0.15/0.58 # Non-unit-clauses : 206 0.15/0.58 # Current number of unprocessed clauses: 3807 0.15/0.58 # ...number of literals in the above : 10169 0.15/0.58 # Current number of archived formulas : 0 0.15/0.58 # Current number of archived clauses : 200 0.15/0.58 # Clause-clause subsumption calls (NU) : 8057 0.15/0.58 # Rec. Clause-clause subsumption calls : 6549 0.15/0.58 # Non-unit clause-clause subsumptions : 265 0.15/0.58 # Unit Clause-clause subsumption calls : 455 0.15/0.58 # Rewrite failures with RHS unbound : 0 0.15/0.58 # BW rewrite match attempts : 77 0.15/0.58 # BW rewrite match successes : 43 0.15/0.58 # Condensation attempts : 927 0.15/0.58 # Condensation successes : 16 0.15/0.58 # Termbank termtop insertions : 99322 0.15/0.58 # Search garbage collected termcells : 8570 0.15/0.58 0.15/0.58 # ------------------------------------------------- 0.15/0.58 # User time : 0.125 s 0.15/0.58 # System time : 0.011 s 0.15/0.58 # Total time : 0.136 s 0.15/0.58 # Maximum resident set size: 3804 pages 0.15/0.58 0.15/0.58 # ------------------------------------------------- 0.15/0.58 # User time : 0.574 s 0.15/0.58 # System time : 0.039 s 0.15/0.58 # Total time : 0.613 s 0.15/0.58 # Maximum resident set size: 2160 pages 0.15/0.58 % E---3.1 exiting 0.15/0.58 % E exiting 0.15/0.58 EOF