0.07/0.16 % Problem : Vampire---4.8_7421 : TPTP v0.0.0. Released v0.0.0. 0.07/0.17 % Command : run_E %s %d THM 0.17/0.38 % Computer : n015.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 13:25:25 EDT 2023 0.17/0.39 % CPUTime : 0.24/0.58 Running higher-order theorem provingRunning: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421 0.24/0.58 # Version: 3.1pre001-ho 0.43/0.84 # Preprocessing class: HSLSSMSMSSMNSFA. 0.43/0.84 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.43/0.84 # Starting new_ho_3 with 900s (5) cores 0.43/0.84 # Starting pre_casc_2 with 180s (1) cores 0.43/0.84 # Starting additional_ho_7 with 180s (1) cores 0.43/0.84 # Starting lpo8_s with 180s (1) cores 0.43/0.84 # new_ho_3 with pid 7792 completed with status 0 0.43/0.84 # Result found by new_ho_3 0.43/0.84 # Preprocessing class: HSLSSMSMSSMNSFA. 0.43/0.84 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.43/0.84 # Starting new_ho_3 with 900s (5) cores 0.43/0.84 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.43/0.84 # Search class: HGUSM-FSLM31-DSFFFFBN 0.43/0.84 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.43/0.84 # Starting new_ho_10 with 487s (1) cores 0.43/0.84 # Starting new_ho_3 with 91s (1) cores 0.43/0.84 # Starting new_bool_1 with 82s (1) cores 0.43/0.84 # Starting ehoh_best8_lambda with 82s (1) cores 0.43/0.84 # Starting full_lambda_3 with 82s (1) cores 0.43/0.84 # ehoh_best8_lambda with pid 7810 completed with status 0 0.43/0.84 # Result found by ehoh_best8_lambda 0.43/0.84 # Preprocessing class: HSLSSMSMSSMNSFA. 0.43/0.84 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.43/0.84 # Starting new_ho_3 with 900s (5) cores 0.43/0.84 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.43/0.84 # Search class: HGUSM-FSLM31-DSFFFFBN 0.43/0.84 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.43/0.84 # Starting new_ho_10 with 487s (1) cores 0.43/0.84 # Starting new_ho_3 with 91s (1) cores 0.43/0.84 # Starting new_bool_1 with 82s (1) cores 0.43/0.84 # Starting ehoh_best8_lambda with 82s (1) cores 0.43/0.84 # Preprocessing time : 0.013 s 0.43/0.84 # Presaturation interreduction done 0.43/0.84 0.43/0.84 # Proof found! 0.43/0.84 # SZS status Theorem 0.43/0.84 # SZS output start CNFRefutation 0.43/0.84 thf(decl_22, type, partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a). 0.43/0.84 thf(decl_32, type, mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a). 0.43/0.84 thf(decl_45, type, product_Pair_a_a: a > a > product_prod_a_a). 0.43/0.84 thf(decl_52, type, add_a_b: partia1833973666xt_a_b > a > a > a). 0.43/0.84 thf(decl_58, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.43/0.84 thf(decl_60, type, r: partia1833973666xt_a_b). 0.43/0.84 thf(decl_61, type, r2: a). 0.43/0.84 thf(decl_62, type, r3: a). 0.43/0.84 thf(decl_63, type, r4: a). 0.43/0.84 thf(decl_64, type, rel: partia1993116613t_unit). 0.43/0.84 thf(decl_65, type, s: a). 0.43/0.84 thf(decl_66, type, s2: a). 0.43/0.84 thf(decl_67, type, s3: a). 0.43/0.84 thf(fact_4_closed__rel__add, axiom, ![X62:a, X63:a, X64:a, X65:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X62 @ X63) @ (partia206007992t_unit @ rel))=>((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X65 @ X62) @ (mult_a_ring_ext_a_b @ r @ X63 @ X64)) @ (mult_a_ring_ext_a_b @ r @ X63 @ X65)) @ (partia206007992t_unit @ rel))<=(member449909584od_a_a @ (product_Pair_a_a @ X64 @ X65) @ (partia206007992t_unit @ rel))))), file('/export/starexec/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421', fact_4_closed__rel__add)). 0.43/0.84 thf(conj_0, conjecture, (member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ r2 @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421', conj_0)). 0.43/0.84 thf(fact_10_f5, axiom, (member449909584od_a_a @ (product_Pair_a_a @ (mult_a_ring_ext_a_b @ r @ r3 @ r4) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3)) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421', fact_10_f5)). 0.43/0.84 thf(fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062, axiom, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ s) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))), file('/export/starexec/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421', fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062)). 0.43/0.84 thf(fact_11_f4, axiom, (member449909584od_a_a @ (product_Pair_a_a @ (mult_a_ring_ext_a_b @ r @ r2 @ r4) @ (mult_a_ring_ext_a_b @ r @ s @ s3)) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox2/tmp/tmp.1wadorDBGy/Vampire---4.8_7421', fact_11_f4)). 0.43/0.84 thf(c_0_5, plain, ![X62:a, X63:a, X64:a, X65:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X62 @ X63) @ (partia206007992t_unit @ rel))=>((member449909584od_a_a @ (product_Pair_a_a @ X64 @ X65) @ (partia206007992t_unit @ rel))=>(member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X65 @ X62) @ (mult_a_ring_ext_a_b @ r @ X63 @ X64)) @ (mult_a_ring_ext_a_b @ r @ X63 @ X65)) @ (partia206007992t_unit @ rel))))), inference(fof_simplification,[status(thm)],[fact_4_closed__rel__add])). 0.43/0.84 thf(c_0_6, plain, ![X873:a, X874:a, X875:a, X876:a]:((~(member449909584od_a_a @ (product_Pair_a_a @ X873 @ X874) @ (partia206007992t_unit @ rel))|(~(member449909584od_a_a @ (product_Pair_a_a @ X875 @ X876) @ (partia206007992t_unit @ rel))|(member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X876 @ X873) @ (mult_a_ring_ext_a_b @ r @ X874 @ X875)) @ (mult_a_ring_ext_a_b @ r @ X874 @ X876)) @ (partia206007992t_unit @ rel))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])). 0.43/0.84 thf(c_0_7, negated_conjecture, ~(member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ r2 @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))) @ (partia206007992t_unit @ rel)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.43/0.84 thf(c_0_8, plain, ![X7:a, X8:a, X13:a, X15:a]:(((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X15 @ X7) @ (mult_a_ring_ext_a_b @ r @ X8 @ X13)) @ (mult_a_ring_ext_a_b @ r @ X8 @ X15)) @ (partia206007992t_unit @ rel))|~((member449909584od_a_a @ (product_Pair_a_a @ X7 @ X8) @ (partia206007992t_unit @ rel)))|~((member449909584od_a_a @ (product_Pair_a_a @ X13 @ X15) @ (partia206007992t_unit @ rel))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.43/0.84 thf(c_0_9, plain, (member449909584od_a_a @ (product_Pair_a_a @ (mult_a_ring_ext_a_b @ r @ r3 @ r4) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3)) @ (partia206007992t_unit @ rel)), inference(split_conjunct,[status(thm)],[fact_10_f5])). 0.43/0.84 thf(c_0_10, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ r2 @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))) @ (partia206007992t_unit @ rel))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.43/0.84 thf(c_0_11, plain, ((mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))=(mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ s) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))), inference(split_conjunct,[status(thm)],[fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062])). 0.43/0.84 thf(c_0_12, plain, ![X7:a, X8:a]:(((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ X7) @ (mult_a_ring_ext_a_b @ r @ X8 @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))) @ (mult_a_ring_ext_a_b @ r @ X8 @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))) @ (partia206007992t_unit @ rel))|~((member449909584od_a_a @ (product_Pair_a_a @ X7 @ X8) @ (partia206007992t_unit @ rel))))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.43/0.84 thf(c_0_13, plain, (member449909584od_a_a @ (product_Pair_a_a @ (mult_a_ring_ext_a_b @ r @ r2 @ r4) @ (mult_a_ring_ext_a_b @ r @ s @ s3)) @ (partia206007992t_unit @ rel)), inference(split_conjunct,[status(thm)],[fact_11_f4])). 0.43/0.84 thf(c_0_14, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ (mult_a_ring_ext_a_b @ r @ r2 @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ s) @ (mult_a_ring_ext_a_b @ r @ r3 @ r4))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s @ s3) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))) @ (partia206007992t_unit @ rel))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.43/0.84 thf(c_0_15, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_11]), c_0_14]), ['proof']). 0.43/0.84 # SZS output end CNFRefutation 0.43/0.84 # Parsed axioms : 339 0.43/0.84 # Removed by relevancy pruning/SinE : 89 0.43/0.84 # Initial clauses : 488 0.43/0.84 # Removed in clause preprocessing : 18 0.43/0.84 # Initial clauses in saturation : 470 0.43/0.84 # Processed clauses : 2106 0.43/0.84 # ...of these trivial : 62 0.43/0.84 # ...subsumed : 822 0.43/0.84 # ...remaining for further processing : 1222 0.43/0.84 # Other redundant clauses eliminated : 86 0.43/0.84 # Clauses deleted for lack of memory : 0 0.43/0.84 # Backward-subsumed : 7 0.43/0.84 # Backward-rewritten : 92 0.43/0.84 # Generated clauses : 5359 0.43/0.84 # ...of the previous two non-redundant : 4585 0.43/0.84 # ...aggressively subsumed : 0 0.43/0.84 # Contextual simplify-reflections : 11 0.43/0.84 # Paramodulations : 5179 0.43/0.84 # Factorizations : 2 0.43/0.84 # NegExts : 3 0.43/0.84 # Equation resolutions : 102 0.43/0.84 # Total rewrite steps : 4315 0.43/0.84 # Propositional unsat checks : 0 0.43/0.84 # Propositional check models : 0 0.43/0.84 # Propositional check unsatisfiable : 0 0.43/0.84 # Propositional clauses : 0 0.43/0.84 # Propositional clauses after purity: 0 0.43/0.84 # Propositional unsat core size : 0 0.43/0.84 # Propositional preprocessing time : 0.000 0.43/0.84 # Propositional encoding time : 0.000 0.43/0.84 # Propositional solver time : 0.000 0.43/0.84 # Success case prop preproc time : 0.000 0.43/0.84 # Success case prop encoding time : 0.000 0.43/0.84 # Success case prop solver time : 0.000 0.43/0.84 # Current number of processed clauses : 691 0.43/0.84 # Positive orientable unit clauses : 304 0.43/0.84 # Positive unorientable unit clauses: 8 0.43/0.84 # Negative unit clauses : 71 0.43/0.84 # Non-unit-clauses : 308 0.43/0.84 # Current number of unprocessed clauses: 3112 0.43/0.84 # ...number of literals in the above : 6906 0.43/0.84 # Current number of archived formulas : 0 0.43/0.84 # Current number of archived clauses : 497 0.43/0.84 # Clause-clause subsumption calls (NU) : 87604 0.43/0.84 # Rec. Clause-clause subsumption calls : 18525 0.43/0.84 # Non-unit clause-clause subsumptions : 207 0.43/0.84 # Unit Clause-clause subsumption calls : 5060 0.43/0.84 # Rewrite failures with RHS unbound : 28 0.43/0.84 # BW rewrite match attempts : 12440 0.43/0.84 # BW rewrite match successes : 114 0.43/0.84 # Condensation attempts : 0 0.43/0.84 # Condensation successes : 0 0.43/0.84 # Termbank termtop insertions : 272643 0.43/0.84 0.43/0.84 # ------------------------------------------------- 0.43/0.84 # User time : 0.229 s 0.43/0.84 # System time : 0.014 s 0.43/0.84 # Total time : 0.243 s 0.43/0.84 # Maximum resident set size: 4056 pages 0.43/0.84 0.43/0.84 # ------------------------------------------------- 0.43/0.84 # User time : 1.054 s 0.43/0.84 # System time : 0.056 s 0.43/0.84 # Total time : 1.110 s 0.43/0.84 # Maximum resident set size: 2320 pages 0.43/0.84 % E---3.1 exiting 0.43/0.84 EOF