0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.08/0.29 % Computer : n002.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 1920 0.08/0.29 % WCLimit : 240 0.08/0.29 % DateTime : Wed Jul 30 02:50:04 EDT 2025 0.08/0.29 % CPUTime : 0.15/0.43 Running higher-order theorem proving 0.15/0.49 Running: /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=240 /export/starexec/sandbox2/tmp/tmp.4VOfc2WStb/E---3.1_19194.p 0.15/0.56 # Version: 3.0.0-ho 0.15/0.56 # Preprocessing class: HSLMSMSMSSLCHSA. 0.15/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.56 # Starting new_bool_8 with 1200s (5) cores 0.15/0.56 # Starting new_ho_6 with 240s (1) cores 0.15/0.56 # Starting full_lambda_4 with 240s (1) cores 0.15/0.56 # Starting new_bool_7 with 240s (1) cores 0.15/0.56 # full_lambda_4 with pid 19274 completed with status 0 0.15/0.56 # Result found by full_lambda_4 0.15/0.56 # Preprocessing class: HSLMSMSMSSLCHSA. 0.15/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.56 # Starting new_bool_8 with 1200s (5) cores 0.15/0.56 # Starting new_ho_6 with 240s (1) cores 0.15/0.56 # Starting full_lambda_4 with 240s (1) cores 0.15/0.56 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.15/0.56 # Search class: HGHSM-FSLM33-MHSFFFBN 0.15/0.56 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.15/0.56 # Starting new_ho_10 with 130s (1) cores 0.15/0.56 # new_ho_10 with pid 19282 completed with status 0 0.15/0.56 # Result found by new_ho_10 0.15/0.56 # Preprocessing class: HSLMSMSMSSLCHSA. 0.15/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.56 # Starting new_bool_8 with 1200s (5) cores 0.15/0.56 # Starting new_ho_6 with 240s (1) cores 0.15/0.56 # Starting full_lambda_4 with 240s (1) cores 0.15/0.56 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.15/0.56 # Search class: HGHSM-FSLM33-MHSFFFBN 0.15/0.56 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.15/0.56 # Starting new_ho_10 with 130s (1) cores 0.15/0.56 # Preprocessing time : 0.006 s 0.15/0.56 # Presaturation interreduction done 0.15/0.56 0.15/0.56 # Proof found! 0.15/0.56 # SZS status Theorem 0.15/0.56 # SZS output start CNFRefutation 0.15/0.56 thf(decl_sort1, type, produc1501160679le_alt: $tType). 0.15/0.56 thf(decl_sort2, type, arrow_1429601828e_indi: $tType). 0.15/0.56 thf(decl_sort3, type, arrow_475358991le_alt: $tType). 0.15/0.56 thf(decl_sort4, type, nat: $tType). 0.15/0.56 thf(decl_27, type, arrow_789600939_above: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_30, type, arrow_2054445623_mkbot: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_31, type, arrow_55669061_mktop: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_93, type, if_Pro1561232536_alt_o: $o > (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_104, type, ord_less_nat: nat > nat > $o). 0.15/0.56 thf(decl_125, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt). 0.15/0.56 thf(decl_172, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o). 0.15/0.56 thf(decl_173, type, f: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_176, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o). 0.15/0.56 thf(decl_179, type, c: arrow_475358991le_alt). 0.15/0.56 thf(decl_180, type, d: arrow_475358991le_alt). 0.15/0.56 thf(decl_181, type, e: arrow_475358991le_alt). 0.15/0.56 thf(decl_182, type, h: arrow_1429601828e_indi > nat). 0.15/0.56 thf(decl_183, type, n: nat). 0.15/0.56 thf(decl_193, type, epred3_0: arrow_1429601828e_indi > produc1501160679le_alt > $o). 0.15/0.56 thf(fact_14_PW, axiom, ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X26:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X26) @ n)) @ (arrow_55669061_mktop @ (p @ X26) @ e) @ (if_Pro1561232536_alt_o @ (((h @ X26)=(n))) @ (arrow_789600939_above @ (p @ X26) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X26) @ e))))))<=>(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))), file('/export/starexec/sandbox2/tmp/tmp.4VOfc2WStb/E---3.1_19194.p', fact_14_PW)). 0.15/0.56 thf(conj_0, conjecture, (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)), file('/export/starexec/sandbox2/tmp/tmp.4VOfc2WStb/E---3.1_19194.p', conj_0)). 0.15/0.56 thf(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto, axiom, (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X26:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X26) @ n)) @ (arrow_55669061_mktop @ (p @ X26) @ e) @ (if_Pro1561232536_alt_o @ (((h @ X26)=(n))) @ (arrow_789600939_above @ (p @ X26) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X26) @ e)))))), file('/export/starexec/sandbox2/tmp/tmp.4VOfc2WStb/E---3.1_19194.p', fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)). 0.15/0.56 thf(c_0_3, plain, ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Z0/* 93 */:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ Z0) @ n)) @ (arrow_55669061_mktop @ (p @ Z0) @ e) @ (if_Pro1561232536_alt_o @ (((h @ Z0)=(n))) @ (arrow_789600939_above @ (p @ Z0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Z0) @ e))))))<=>(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))), inference(fof_simplification,[status(thm)],[fact_14_PW])). 0.15/0.56 thf(c_0_4, negated_conjecture, ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.15/0.56 thf(c_0_5, plain, ((~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Z0/* 93 */:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ Z0) @ n)) @ (arrow_55669061_mktop @ (p @ Z0) @ e) @ (if_Pro1561232536_alt_o @ (((h @ Z0)=(n))) @ (arrow_789600939_above @ (p @ Z0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Z0) @ e))))))|(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)))&(~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))|(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Z0/* 93 */:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ Z0) @ n)) @ (arrow_55669061_mktop @ (p @ Z0) @ e) @ (if_Pro1561232536_alt_o @ (((h @ Z0)=(n))) @ (arrow_789600939_above @ (p @ Z0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Z0) @ e)))))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])). 0.15/0.56 thf(c_0_6, plain, ![X1613:arrow_1429601828e_indi]:(((epred3_0 @ X1613)=(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ X1613) @ n)) @ (arrow_55669061_mktop @ (p @ X1613) @ e) @ (if_Pro1561232536_alt_o @ (((h @ X1613)=(n))) @ (arrow_789600939_above @ (p @ X1613) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X1613) @ e))))), introduced(definition)). 0.15/0.56 thf(c_0_7, negated_conjecture, ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)), inference(fof_nnf,[status(thm)],[c_0_4])). 0.15/0.56 thf(c_0_8, plain, (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Z0/* 93 */:arrow_1429601828e_indi]:(if_Pro1561232536_alt_o @ ((ord_less_nat @ (h @ Z0) @ n)) @ (arrow_55669061_mktop @ (p @ Z0) @ e) @ (if_Pro1561232536_alt_o @ (((h @ Z0)=(n))) @ (arrow_789600939_above @ (p @ Z0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Z0) @ e)))))), inference(fof_simplification,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto])). 0.15/0.56 thf(c_0_9, plain, ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))|~((((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ epred3_0)))=(($true))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6])). 0.15/0.56 thf(c_0_10, negated_conjecture, ~((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.15/0.56 thf(c_0_11, plain, (((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ epred3_0)))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8]), c_0_6])). 0.15/0.56 thf(c_0_12, plain, ~((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ epred3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[c_0_9]), c_0_10])). 0.15/0.56 thf(c_0_13, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[c_0_11]), c_0_12]), ['proof']). 0.15/0.56 # SZS output end CNFRefutation 0.15/0.56 # Parsed axioms : 870 0.15/0.56 # Removed by relevancy pruning/SinE : 795 0.15/0.56 # Initial clauses : 232 0.15/0.56 # Removed in clause preprocessing : 49 0.15/0.56 # Initial clauses in saturation : 183 0.15/0.56 # Processed clauses : 17 0.15/0.56 # ...of these trivial : 0 0.15/0.56 # ...subsumed : 3 0.15/0.56 # ...remaining for further processing : 13 0.15/0.56 # Other redundant clauses eliminated : 1 0.15/0.56 # Clauses deleted for lack of memory : 0 0.15/0.56 # Backward-subsumed : 0 0.15/0.56 # Backward-rewritten : 0 0.15/0.56 # Generated clauses : 1 0.15/0.56 # ...of the previous two non-redundant : 1 0.15/0.56 # ...aggressively subsumed : 0 0.15/0.56 # Contextual simplify-reflections : 0 0.15/0.56 # Paramodulations : 0 0.15/0.56 # Factorizations : 0 0.15/0.56 # NegExts : 0 0.15/0.56 # Equation resolutions : 1 0.15/0.56 # Disequality decompositions : 0 0.15/0.56 # Total rewrite steps : 0 0.15/0.56 # ...of those cached : 0 0.15/0.56 # Propositional unsat checks : 0 0.15/0.56 # Propositional check models : 0 0.15/0.56 # Propositional check unsatisfiable : 0 0.15/0.56 # Propositional clauses : 0 0.15/0.56 # Propositional clauses after purity: 0 0.15/0.56 # Propositional unsat core size : 0 0.15/0.56 # Propositional preprocessing time : 0.000 0.15/0.56 # Propositional encoding time : 0.000 0.15/0.56 # Propositional solver time : 0.000 0.15/0.56 # Success case prop preproc time : 0.000 0.15/0.56 # Success case prop encoding time : 0.000 0.15/0.56 # Success case prop solver time : 0.000 0.15/0.56 # Current number of processed clauses : 12 0.15/0.56 # Positive orientable unit clauses : 5 0.15/0.56 # Positive unorientable unit clauses: 0 0.15/0.56 # Negative unit clauses : 7 0.15/0.56 # Non-unit-clauses : 0 0.15/0.56 # Current number of unprocessed clauses: 167 0.15/0.56 # ...number of literals in the above : 661 0.15/0.56 # Current number of archived formulas : 0 0.15/0.56 # Current number of archived clauses : 0 0.15/0.56 # Clause-clause subsumption calls (NU) : 0 0.15/0.56 # Rec. Clause-clause subsumption calls : 0 0.15/0.56 # Non-unit clause-clause subsumptions : 0 0.15/0.56 # Unit Clause-clause subsumption calls : 6 0.15/0.56 # Rewrite failures with RHS unbound : 0 0.15/0.56 # BW rewrite match attempts : 0 0.15/0.56 # BW rewrite match successes : 0 0.15/0.56 # Condensation attempts : 17 0.15/0.56 # Condensation successes : 0 0.15/0.56 # Termbank termtop insertions : 28202 0.15/0.56 # Search garbage collected termcells : 9528 0.15/0.56 0.15/0.56 # ------------------------------------------------- 0.15/0.56 # User time : 0.021 s 0.15/0.56 # System time : 0.006 s 0.15/0.56 # Total time : 0.027 s 0.15/0.56 # Maximum resident set size: 4344 pages 0.15/0.56 0.15/0.56 # ------------------------------------------------- 0.15/0.56 # User time : 0.051 s 0.15/0.56 # System time : 0.013 s 0.15/0.56 # Total time : 0.064 s 0.15/0.56 # Maximum resident set size: 3532 pages 0.15/0.56 % E exiting 0.47/0.57 % E exiting 0.47/0.57 EOF