0.11/0.15 % Problem : Vampire---4.8_31314 : TPTP v0.0.0. Released v0.0.0. 0.11/0.16 % Command : run_E %s %d THM 0.17/0.36 % Computer : n023.cluster.edu 0.17/0.36 % Model : x86_64 x86_64 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.36 % Memory : 8042.1875MB 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.36 % CPULimit : 1440 0.17/0.36 % WCLimit : 180 0.17/0.37 % DateTime : Mon Jul 3 13:12:51 EDT 2023 0.17/0.37 % CPUTime : 0.23/0.53 Running higher-order theorem provingRunning: /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.uNGUSLFT07/Vampire---4.8_31314 0.23/0.53 # Version: 3.1pre001-ho 0.47/0.68 # Preprocessing class: HSLSSMSMSSMCHSA. 0.47/0.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.47/0.68 # Starting post_as_ho6 with 900s (5) cores 0.47/0.68 # Starting post_as_ho8 with 180s (1) cores 0.47/0.68 # Starting new_bool_3 with 180s (1) cores 0.47/0.68 # Starting new_bool_1 with 180s (1) cores 0.47/0.68 # post_as_ho6 with pid 31493 completed with status 0 0.47/0.68 # Result found by post_as_ho6 0.47/0.68 # Preprocessing class: HSLSSMSMSSMCHSA. 0.47/0.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.47/0.68 # Starting post_as_ho6 with 900s (5) cores 0.47/0.68 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 0.47/0.68 # Search class: HGHSM-FSLM32-SHSFFSBC 0.47/0.68 # partial match(1): HGHSM-FSLM32-MHSFFSBC 0.47/0.68 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.47/0.68 # Starting ehoh_best4 with 437s (1) cores 0.47/0.68 # Starting post_as_ho6 with 91s (1) cores 0.47/0.68 # Starting sh1 with 82s (1) cores 0.47/0.68 # Starting almost_fo_4 with 82s (1) cores 0.47/0.68 # Starting new_bool_8 with 82s (1) cores 0.47/0.68 # post_as_ho6 with pid 31498 completed with status 0 0.47/0.68 # Result found by post_as_ho6 0.47/0.68 # Preprocessing class: HSLSSMSMSSMCHSA. 0.47/0.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.47/0.68 # Starting post_as_ho6 with 900s (5) cores 0.47/0.68 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 0.47/0.68 # Search class: HGHSM-FSLM32-SHSFFSBC 0.47/0.68 # partial match(1): HGHSM-FSLM32-MHSFFSBC 0.47/0.68 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.47/0.68 # Starting ehoh_best4 with 437s (1) cores 0.47/0.68 # Starting post_as_ho6 with 91s (1) cores 0.47/0.68 # Preprocessing time : 0.006 s 0.47/0.68 # Presaturation interreduction done 0.47/0.68 0.47/0.68 # Proof found! 0.47/0.68 # SZS status Theorem 0.47/0.68 # SZS output start CNFRefutation 0.47/0.68 thf(decl_33, type, min_dist_capacity: (product_prod_nat_nat > capacity) > nat > nat > nat). 0.47/0.68 thf(decl_36, type, plus_plus_nat: nat > nat > nat). 0.47/0.68 thf(decl_37, type, size_s1990949619at_nat: list_P559422087at_nat > nat). 0.47/0.68 thf(decl_39, type, ord_less_nat: nat > nat > $o). 0.47/0.68 thf(decl_40, type, ord_less_eq_nat: nat > nat > $o). 0.47/0.68 thf(decl_43, type, c: product_prod_nat_nat > capacity). 0.47/0.68 thf(decl_47, type, p1a: list_P559422087at_nat). 0.47/0.68 thf(decl_49, type, p2_a: list_P559422087at_nat). 0.47/0.68 thf(decl_51, type, s: nat). 0.47/0.68 thf(decl_52, type, t: nat). 0.47/0.68 thf(decl_54, type, ua: nat). 0.47/0.68 thf(fact_75_add_Ocommute, axiom, ((plus_plus_nat)=(^[X48:nat, X49:nat]:(plus_plus_nat @ X49 @ X48))), file('/export/starexec/sandbox/tmp/tmp.uNGUSLFT07/Vampire---4.8_31314', fact_75_add_Ocommute)). 0.47/0.68 thf(fact_102_add__mono__thms__linordered__field_I5_J, axiom, ![X25:nat, X26:nat, X20:nat, X27:nat]:(((ord_less_nat @ (plus_plus_nat @ X25 @ X20) @ (plus_plus_nat @ X26 @ X27))<=((ord_less_nat @ X20 @ X27)&(ord_less_nat @ X25 @ X26)))), file('/export/starexec/sandbox/tmp/tmp.uNGUSLFT07/Vampire---4.8_31314', fact_102_add__mono__thms__linordered__field_I5_J)). 0.47/0.68 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.uNGUSLFT07/Vampire---4.8_31314', conj_0)). 0.47/0.68 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.uNGUSLFT07/Vampire---4.8_31314', fact_0__092_060open_062min__dist_As_At_A_061_Amin__dist_As_Au_A_L_Amin__dist_Au_At_092_060close_062)). 0.47/0.68 thf(fact_270_dual__order_Ostrict__iff__order, axiom, ((ord_less_nat)=(^[X49:nat, X48:nat]:((((X48)!=(X49))&(ord_less_eq_nat @ X49 @ X48))))), file('/export/starexec/sandbox/tmp/tmp.uNGUSLFT07/Vampire---4.8_31314', fact_270_dual__order_Ostrict__iff__order)). 0.47/0.68 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.uNGUSLFT07/Vampire---4.8_31314', fact_1__092_060open_062min__dist_As_Au_A_060_Alength_Ap1_092_060close_062)). 0.47/0.68 thf(fact_98_add__strict__left__mono, axiom, ![X1:nat, X3:nat, X4:nat]:(((ord_less_nat @ (plus_plus_nat @ X4 @ X1) @ (plus_plus_nat @ X4 @ X3))<=(ord_less_nat @ X1 @ X3))), file('/export/starexec/sandbox/tmp/tmp.uNGUSLFT07/Vampire---4.8_31314', fact_98_add__strict__left__mono)). 0.47/0.68 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.uNGUSLFT07/Vampire---4.8_31314', fact_2__092_060open_062min__dist_Au_At_A_092_060le_062_Alength_Ap2_H_092_060close_062)). 0.47/0.68 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])])). 0.47/0.68 thf(c_0_9, plain, ![X25:nat, X26:nat, X20:nat, X27:nat]:((((ord_less_nat @ X20 @ X27)&(ord_less_nat @ X25 @ X26))=>(ord_less_nat @ (plus_plus_nat @ X25 @ X20) @ (plus_plus_nat @ X26 @ X27)))), inference(fof_simplification,[status(thm)],[fact_102_add__mono__thms__linordered__field_I5_J])). 0.47/0.68 thf(c_0_10, plain, ![X982:nat, X983:nat]:(((plus_plus_nat @ X982 @ X983)=(plus_plus_nat @ X983 @ X982))), inference(variable_rename,[status(thm)],[c_0_8])). 0.47/0.68 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])])). 0.47/0.68 thf(c_0_12, plain, ![X1052:nat, X1053:nat, X1054:nat, X1055:nat]:((~(ord_less_nat @ X1054 @ X1055)|~(ord_less_nat @ X1052 @ X1053)|(ord_less_nat @ (plus_plus_nat @ X1052 @ X1054) @ (plus_plus_nat @ X1053 @ X1055)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.47/0.68 thf(c_0_13, 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])). 0.47/0.68 thf(c_0_14, plain, ![X3:nat, X1:nat]:(((plus_plus_nat @ X1 @ X3)=(plus_plus_nat @ X3 @ X1))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.47/0.68 thf(c_0_15, 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])). 0.47/0.68 thf(c_0_16, plain, ![X3:nat, X1:nat, X4:nat, X5:nat]:(((ord_less_nat @ (plus_plus_nat @ X4 @ X1) @ (plus_plus_nat @ X5 @ X3))|~((ord_less_nat @ X1 @ X3))|~((ord_less_nat @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.47/0.68 thf(c_0_17, 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_13, c_0_14])). 0.47/0.68 thf(c_0_18, plain, ![X699:nat, X700:nat]:(((ord_less_nat @ X699 @ X700)<=>(((X700)!=(X699))&(ord_less_eq_nat @ X699 @ X700)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_270_dual__order_Ostrict__iff__order])])). 0.47/0.68 thf(c_0_19, 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_15, c_0_14])). 0.47/0.68 thf(c_0_20, plain, ![X1:nat, X3:nat]:(((ord_less_nat @ (min_dist_capacity @ c @ s @ t) @ (plus_plus_nat @ X1 @ X3))|~((ord_less_nat @ (min_dist_capacity @ c @ ua @ t) @ X1))|~((ord_less_nat @ (min_dist_capacity @ c @ s @ ua) @ X3)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.47/0.68 thf(c_0_21, 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])). 0.47/0.68 thf(c_0_22, plain, ![X810:nat, X811:nat]:((((((X811)!=(X810))|~(ord_less_nat @ X810 @ X811))&((ord_less_eq_nat @ X810 @ X811)|~(ord_less_nat @ X810 @ X811)))&(((X811)=(X810))|~(ord_less_eq_nat @ X810 @ X811)|(ord_less_nat @ X810 @ X811)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])). 0.47/0.68 thf(c_0_23, plain, ![X1:nat, X3:nat, X4:nat]:(((ord_less_nat @ X1 @ X3)=>(ord_less_nat @ (plus_plus_nat @ X4 @ X1) @ (plus_plus_nat @ X4 @ X3)))), inference(fof_simplification,[status(thm)],[fact_98_add__strict__left__mono])). 0.47/0.68 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_19, c_0_20]), c_0_21])])). 0.47/0.68 thf(c_0_25, plain, ![X3:nat, X1:nat]:((((X1)=(X3))|(ord_less_nat @ X3 @ X1)|~((ord_less_eq_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.47/0.68 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])). 0.47/0.68 thf(c_0_27, plain, ![X991:nat, X992:nat, X993:nat]:((~(ord_less_nat @ X991 @ X992)|(ord_less_nat @ (plus_plus_nat @ X993 @ X991) @ (plus_plus_nat @ X993 @ X992)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])). 0.47/0.68 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])])). 0.47/0.68 thf(c_0_29, plain, ![X4:nat, X1:nat, X3:nat]:(((ord_less_nat @ (plus_plus_nat @ X4 @ X1) @ (plus_plus_nat @ X4 @ X3))|~((ord_less_nat @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.47/0.68 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_17, c_0_28])). 0.47/0.68 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])). 0.47/0.68 thf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_31]), c_0_21])]), ['proof']). 0.47/0.68 # SZS output end CNFRefutation 0.47/0.68 # Parsed axioms : 315 0.47/0.68 # Removed by relevancy pruning/SinE : 107 0.47/0.68 # Initial clauses : 364 0.47/0.68 # Removed in clause preprocessing : 17 0.47/0.68 # Initial clauses in saturation : 347 0.47/0.68 # Processed clauses : 927 0.47/0.68 # ...of these trivial : 29 0.47/0.68 # ...subsumed : 364 0.47/0.68 # ...remaining for further processing : 534 0.47/0.68 # Other redundant clauses eliminated : 81 0.47/0.68 # Clauses deleted for lack of memory : 0 0.47/0.68 # Backward-subsumed : 12 0.47/0.68 # Backward-rewritten : 32 0.47/0.68 # Generated clauses : 4499 0.47/0.68 # ...of the previous two non-redundant : 4243 0.47/0.68 # ...aggressively subsumed : 0 0.47/0.68 # Contextual simplify-reflections : 4 0.47/0.68 # Paramodulations : 4405 0.47/0.68 # Factorizations : 6 0.47/0.68 # NegExts : 0 0.47/0.68 # Equation resolutions : 86 0.47/0.68 # Total rewrite steps : 625 0.47/0.68 # Propositional unsat checks : 0 0.47/0.68 # Propositional check models : 0 0.47/0.68 # Propositional check unsatisfiable : 0 0.47/0.68 # Propositional clauses : 0 0.47/0.68 # Propositional clauses after purity: 0 0.47/0.68 # Propositional unsat core size : 0 0.47/0.68 # Propositional preprocessing time : 0.000 0.47/0.68 # Propositional encoding time : 0.000 0.47/0.68 # Propositional solver time : 0.000 0.47/0.68 # Success case prop preproc time : 0.000 0.47/0.68 # Success case prop encoding time : 0.000 0.47/0.68 # Success case prop solver time : 0.000 0.47/0.68 # Current number of processed clauses : 281 0.47/0.68 # Positive orientable unit clauses : 46 0.47/0.68 # Positive unorientable unit clauses: 2 0.47/0.68 # Negative unit clauses : 27 0.47/0.68 # Non-unit-clauses : 206 0.47/0.68 # Current number of unprocessed clauses: 3807 0.47/0.68 # ...number of literals in the above : 10169 0.47/0.68 # Current number of archived formulas : 0 0.47/0.68 # Current number of archived clauses : 200 0.47/0.68 # Clause-clause subsumption calls (NU) : 7831 0.47/0.68 # Rec. Clause-clause subsumption calls : 6472 0.47/0.68 # Non-unit clause-clause subsumptions : 265 0.47/0.68 # Unit Clause-clause subsumption calls : 836 0.47/0.68 # Rewrite failures with RHS unbound : 0 0.47/0.68 # BW rewrite match attempts : 77 0.47/0.68 # BW rewrite match successes : 43 0.47/0.68 # Condensation attempts : 927 0.47/0.68 # Condensation successes : 16 0.47/0.68 # Termbank termtop insertions : 95899 0.47/0.68 0.47/0.68 # ------------------------------------------------- 0.47/0.68 # User time : 0.127 s 0.47/0.68 # System time : 0.011 s 0.47/0.68 # Total time : 0.138 s 0.47/0.68 # Maximum resident set size: 3768 pages 0.47/0.68 0.47/0.68 # ------------------------------------------------- 0.47/0.68 # User time : 0.552 s 0.47/0.68 # System time : 0.041 s 0.47/0.68 # Total time : 0.593 s 0.47/0.68 # Maximum resident set size: 2160 pages 0.47/0.68 % E---3.1 exiting 0.47/0.69 EOF