0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 08:27:49 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.74/0.92 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.Q1pWfyYTXa/E---3.1_2432.p 8.39/2.15 # Version: 3.0.0-ho 8.39/2.15 # Preprocessing class: HMLMSMSLSSLNSFA. 8.39/2.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 8.39/2.15 # Starting new_bool_1 with 1200s (5) cores 8.39/2.15 # Starting post_as_ho6 with 240s (1) cores 8.39/2.15 # Starting post_as_ho8 with 240s (1) cores 8.39/2.15 # Starting pre_casc_4 with 240s (1) cores 8.39/2.15 # new_bool_1 with pid 2531 completed with status 0 8.39/2.15 # Result found by new_bool_1 8.39/2.15 # Preprocessing class: HMLMSMSLSSLNSFA. 8.39/2.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 8.39/2.15 # Starting new_bool_1 with 1200s (5) cores 8.39/2.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 8.39/2.15 # Search class: HGHSM-SMLM32-DSFFFFNN 8.39/2.15 # partial match(1): HGHSM-SMLM32-DSFFFFBN 8.39/2.15 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 8.39/2.15 # Starting post_as_ho7 with 721s (1) cores 8.39/2.15 # Starting post_as_ho8 with 121s (1) cores 8.39/2.15 # Starting full_lambda_3 with 121s (1) cores 8.39/2.15 # Starting post_as_ho6 with 121s (1) cores 8.39/2.15 # Starting new_bool_1 with 116s (1) cores 8.39/2.15 # post_as_ho8 with pid 2536 completed with status 0 8.39/2.15 # Result found by post_as_ho8 8.39/2.15 # Preprocessing class: HMLMSMSLSSLNSFA. 8.39/2.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 8.39/2.15 # Starting new_bool_1 with 1200s (5) cores 8.39/2.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 8.39/2.15 # Search class: HGHSM-SMLM32-DSFFFFNN 8.39/2.15 # partial match(1): HGHSM-SMLM32-DSFFFFBN 8.39/2.15 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 8.39/2.15 # Starting post_as_ho7 with 721s (1) cores 8.39/2.15 # Starting post_as_ho8 with 121s (1) cores 8.39/2.15 # Preprocessing time : 0.049 s 8.39/2.15 # Presaturation interreduction done 8.39/2.15 8.39/2.15 # Proof found! 8.39/2.15 # SZS status Theorem 8.39/2.15 # SZS output start CNFRefutation 8.39/2.15 thf(decl_sort1, type, del: $tType). 8.39/2.15 thf(decl_23, type, bool: del). 8.39/2.15 thf(decl_25, type, arr: del > del > del). 8.39/2.15 thf(decl_26, type, mem: $i > del > $o). 8.39/2.15 thf(decl_27, type, ap: $i > $i > $i). 8.39/2.15 thf(decl_200, type, c_2Epair_2ECURRY: del > del > del > $i). 8.39/2.15 thf(decl_208, type, c_2Epair_2EUNCURRY: del > del > del > $i). 8.39/2.15 thf(decl_500, type, c_2Eset__relation_2Erel__to__reln: del > del > $i). 8.39/2.15 thf(decl_501, type, c_2Eset__relation_2Ereln__to__rel: del > del > $i). 8.39/2.15 thf(decl_516, type, esk1_0: del). 8.39/2.15 thf(decl_517, type, esk2_0: del). 8.39/2.15 thf(decl_518, type, esk3_0: $i). 8.39/2.15 thf(conj_thm_2Eset__relation_2Erel__to__reln__inv, conjecture, ![X13:del, X29:del, X195:$i]:(((mem @ X195 @ (arr @ X13 @ (arr @ X29 @ bool)))=>((ap @ (c_2Eset__relation_2Ereln__to__rel @ X13 @ X29) @ (ap @ (c_2Eset__relation_2Erel__to__reln @ X13 @ X29) @ X195))=(X195)))), file('/export/starexec/sandbox2/tmp/tmp.Q1pWfyYTXa/E---3.1_2432.p', conj_thm_2Eset__relation_2Erel__to__reln__inv)). 8.39/2.15 thf(conj_thm_2Epair_2ECURRY__UNCURRY__THM, axiom, ![X13:del, X29:del, X62:del, X34:$i]:((((ap @ (c_2Epair_2ECURRY @ X13 @ X29 @ X62) @ (ap @ (c_2Epair_2EUNCURRY @ X13 @ X29 @ X62) @ X34))=(X34))<=(mem @ X34 @ (arr @ X13 @ (arr @ X29 @ X62))))), file('/export/starexec/sandbox2/tmp/tmp.Q1pWfyYTXa/E---3.1_2432.p', conj_thm_2Epair_2ECURRY__UNCURRY__THM)). 8.39/2.15 thf(conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY, axiom, ![X13:del, X29:del]:(((c_2Eset__relation_2Ereln__to__rel @ X13 @ X29)=(c_2Epair_2ECURRY @ X13 @ X29 @ bool))), file('/export/starexec/sandbox2/tmp/tmp.Q1pWfyYTXa/E---3.1_2432.p', conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY)). 8.39/2.15 thf(conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY, axiom, ![X13:del, X29:del]:(((c_2Eset__relation_2Erel__to__reln @ X13 @ X29)=(c_2Epair_2EUNCURRY @ X13 @ X29 @ bool))), file('/export/starexec/sandbox2/tmp/tmp.Q1pWfyYTXa/E---3.1_2432.p', conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY)). 8.39/2.15 thf(c_0_4, negated_conjecture, ~(![X13:del, X29:del, X195:$i]:(((mem @ X195 @ (arr @ X13 @ (arr @ X29 @ bool)))=>((ap @ (c_2Eset__relation_2Ereln__to__rel @ X13 @ X29) @ (ap @ (c_2Eset__relation_2Erel__to__reln @ X13 @ X29) @ X195))=(X195))))), inference(assume_negation,[status(cth)],[conj_thm_2Eset__relation_2Erel__to__reln__inv])). 8.39/2.15 thf(c_0_5, plain, ![X13:del, X29:del, X62:del, X34:$i]:(((mem @ X34 @ (arr @ X13 @ (arr @ X29 @ X62)))=>((ap @ (c_2Epair_2ECURRY @ X13 @ X29 @ X62) @ (ap @ (c_2Epair_2EUNCURRY @ X13 @ X29 @ X62) @ X34))=(X34)))), inference(fof_simplification,[status(thm)],[conj_thm_2Epair_2ECURRY__UNCURRY__THM])). 8.39/2.15 thf(c_0_6, negated_conjecture, ((mem @ esk3_0 @ (arr @ esk1_0 @ (arr @ esk2_0 @ bool)))&((ap @ (c_2Eset__relation_2Ereln__to__rel @ esk1_0 @ esk2_0) @ (ap @ (c_2Eset__relation_2Erel__to__reln @ esk1_0 @ esk2_0) @ esk3_0))!=(esk3_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])). 8.39/2.15 thf(c_0_7, plain, ![X3623:del, X3624:del]:(((c_2Eset__relation_2Ereln__to__rel @ X3623 @ X3624)=(c_2Epair_2ECURRY @ X3623 @ X3624 @ bool))), inference(variable_rename,[status(thm)],[conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY])). 8.39/2.15 thf(c_0_8, plain, ![X3605:del, X3606:del]:(((c_2Eset__relation_2Erel__to__reln @ X3605 @ X3606)=(c_2Epair_2EUNCURRY @ X3605 @ X3606 @ bool))), inference(variable_rename,[status(thm)],[conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY])). 8.39/2.15 thf(c_0_9, plain, ![X4453:del, X4454:del, X4455:del, X4456:$i]:((~(mem @ X4456 @ (arr @ X4453 @ (arr @ X4454 @ X4455)))|((ap @ (c_2Epair_2ECURRY @ X4453 @ X4454 @ X4455) @ (ap @ (c_2Epair_2EUNCURRY @ X4453 @ X4454 @ X4455) @ X4456))=(X4456)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 8.39/2.15 thf(c_0_10, negated_conjecture, ((ap @ (c_2Eset__relation_2Ereln__to__rel @ esk1_0 @ esk2_0) @ (ap @ (c_2Eset__relation_2Erel__to__reln @ esk1_0 @ esk2_0) @ esk3_0))!=(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 8.39/2.15 thf(c_0_11, plain, ![X1:del, X2:del]:(((c_2Eset__relation_2Ereln__to__rel @ X1 @ X2)=(c_2Epair_2ECURRY @ X1 @ X2 @ bool))), inference(split_conjunct,[status(thm)],[c_0_7])). 8.39/2.15 thf(c_0_12, plain, ![X1:del, X2:del]:(((c_2Eset__relation_2Erel__to__reln @ X1 @ X2)=(c_2Epair_2EUNCURRY @ X1 @ X2 @ bool))), inference(split_conjunct,[status(thm)],[c_0_8])). 8.39/2.15 thf(c_0_13, plain, ![X4:$i, X1:del, X2:del, X13:del]:((((ap @ (c_2Epair_2ECURRY @ X1 @ X2 @ X13) @ (ap @ (c_2Epair_2EUNCURRY @ X1 @ X2 @ X13) @ X4))=(X4))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ X13)))))), inference(split_conjunct,[status(thm)],[c_0_9])). 8.39/2.15 thf(c_0_14, negated_conjecture, (mem @ esk3_0 @ (arr @ esk1_0 @ (arr @ esk2_0 @ bool))), inference(split_conjunct,[status(thm)],[c_0_6])). 8.39/2.15 thf(c_0_15, negated_conjecture, ((ap @ (c_2Epair_2ECURRY @ esk1_0 @ esk2_0 @ bool) @ (ap @ (c_2Epair_2EUNCURRY @ esk1_0 @ esk2_0 @ bool) @ esk3_0))!=(esk3_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 8.39/2.15 thf(c_0_16, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), ['proof']). 8.39/2.15 # SZS output end CNFRefutation 8.39/2.15 # Parsed axioms : 3387 8.39/2.15 # Removed by relevancy pruning/SinE : 2813 8.39/2.15 # Initial clauses : 2131 8.39/2.15 # Removed in clause preprocessing : 921 8.39/2.15 # Initial clauses in saturation : 1210 8.39/2.15 # Processed clauses : 2072 8.39/2.15 # ...of these trivial : 15 8.39/2.15 # ...subsumed : 197 8.39/2.15 # ...remaining for further processing : 1860 8.39/2.15 # Other redundant clauses eliminated : 310 8.39/2.15 # Clauses deleted for lack of memory : 0 8.39/2.15 # Backward-subsumed : 3 8.39/2.15 # Backward-rewritten : 9 8.39/2.15 # Generated clauses : 16728 8.39/2.15 # ...of the previous two non-redundant : 16247 8.39/2.15 # ...aggressively subsumed : 0 8.39/2.15 # Contextual simplify-reflections : 3 8.39/2.15 # Paramodulations : 16082 8.39/2.15 # Factorizations : 4 8.39/2.15 # NegExts : 28 8.39/2.15 # Equation resolutions : 316 8.39/2.15 # Disequality decompositions : 0 8.39/2.15 # Total rewrite steps : 813 8.39/2.15 # ...of those cached : 724 8.39/2.15 # Propositional unsat checks : 0 8.39/2.15 # Propositional check models : 0 8.39/2.15 # Propositional check unsatisfiable : 0 8.39/2.15 # Propositional clauses : 0 8.39/2.15 # Propositional clauses after purity: 0 8.39/2.15 # Propositional unsat core size : 0 8.39/2.15 # Propositional preprocessing time : 0.000 8.39/2.15 # Propositional encoding time : 0.000 8.39/2.15 # Propositional solver time : 0.000 8.39/2.15 # Success case prop preproc time : 0.000 8.39/2.15 # Success case prop encoding time : 0.000 8.39/2.15 # Success case prop solver time : 0.000 8.39/2.15 # Current number of processed clauses : 711 8.39/2.15 # Positive orientable unit clauses : 148 8.39/2.15 # Positive unorientable unit clauses: 9 8.39/2.15 # Negative unit clauses : 43 8.39/2.15 # Non-unit-clauses : 511 8.39/2.15 # Current number of unprocessed clauses: 16392 8.39/2.15 # ...number of literals in the above : 83105 8.39/2.15 # Current number of archived formulas : 0 8.39/2.15 # Current number of archived clauses : 1083 8.39/2.15 # Clause-clause subsumption calls (NU) : 389938 8.39/2.15 # Rec. Clause-clause subsumption calls : 21339 8.39/2.15 # Non-unit clause-clause subsumptions : 155 8.39/2.15 # Unit Clause-clause subsumption calls : 794 8.39/2.15 # Rewrite failures with RHS unbound : 0 8.39/2.15 # BW rewrite match attempts : 3367 8.39/2.15 # BW rewrite match successes : 45 8.39/2.15 # Condensation attempts : 2072 8.39/2.15 # Condensation successes : 9 8.39/2.15 # Termbank termtop insertions : 810914 8.39/2.15 # Search garbage collected termcells : 86874 8.39/2.15 8.39/2.15 # ------------------------------------------------- 8.39/2.15 # User time : 0.939 s 8.39/2.15 # System time : 0.042 s 8.39/2.15 # Total time : 0.980 s 8.39/2.15 # Maximum resident set size: 16308 pages 8.39/2.15 8.39/2.15 # ------------------------------------------------- 8.39/2.15 # User time : 4.427 s 8.39/2.15 # System time : 0.183 s 8.39/2.15 # Total time : 4.610 s 8.39/2.15 # Maximum resident set size: 9252 pages 8.39/2.15 % E exiting 8.39/2.15 % E exiting 8.39/2.16 EOF