0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n003.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 03:12:49 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.46 Running higher-order theorem proving 0.19/0.47 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.YMjFXg4HV3/E---3.1_6009.p 29.46/4.23 # Version: 3.0.0-ho 29.46/4.23 # Preprocessing class: HSMSSMSSSSSNHHA. 29.46/4.23 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 29.46/4.23 # Starting full_lambda_6 with 720s (3) cores 29.46/4.23 # Starting post_as_ho1 with 240s (1) cores 29.46/4.23 # Starting lpo6_lambda_fix with 240s (1) cores 29.46/4.23 # Starting ho_unfolding_1 with 240s (1) cores 29.46/4.23 # Starting new_ho_10_unif with 240s (1) cores 29.46/4.23 # Starting ho_unfolding_2 with 240s (1) cores 29.46/4.23 # full_lambda_6 with pid 6162 completed with status 0 29.46/4.23 # Result found by full_lambda_6 29.46/4.23 # Preprocessing class: HSMSSMSSSSSNHHA. 29.46/4.23 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 29.46/4.23 # Starting full_lambda_6 with 720s (3) cores 29.46/4.23 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 29.46/4.23 # Search class: HGHNF-FFSF22-SHHFFSBN 29.46/4.23 # Scheduled 6 strats onto 3 cores with 720 seconds (720 total) 29.46/4.23 # Starting new_ho_10_unif with 216s (1) cores 29.46/4.23 # Starting full_lambda_6 with 73s (1) cores 29.46/4.23 # Starting sh5l with 109s (1) cores 29.46/4.23 # new_ho_10_unif with pid 6170 completed with status 0 29.46/4.23 # Result found by new_ho_10_unif 29.46/4.23 # Preprocessing class: HSMSSMSSSSSNHHA. 29.46/4.23 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 29.46/4.23 # Starting full_lambda_6 with 720s (3) cores 29.46/4.23 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 29.46/4.23 # Search class: HGHNF-FFSF22-SHHFFSBN 29.46/4.23 # Scheduled 6 strats onto 3 cores with 720 seconds (720 total) 29.46/4.23 # Starting new_ho_10_unif with 216s (1) cores 29.46/4.23 # Preprocessing time : 0.001 s 29.46/4.23 # Presaturation interreduction done 29.46/4.23 29.46/4.23 # Proof found! 29.46/4.23 # SZS status Theorem 29.46/4.23 # SZS output start CNFRefutation 29.46/4.23 thf(decl_sort1, type, a: $tType). 29.46/4.23 thf(decl_23, type, epred1_0: a > a > $o). 29.46/4.23 thf(decl_24, type, esk1_0: (a > $o) > a). 29.46/4.23 thf(decl_25, type, esk2_0: a > a). 29.46/4.23 thf(decl_26, type, esk3_2: (a > $o) > a > a). 29.46/4.23 thf(cT145_DOUBLE, conjecture, ![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((?[X4:a, X5:a]:((((X1 @ X4 @ X5)|(X1 @ X4 @ X5))&(~((X1 @ (X3 @ X4) @ (X3 @ X5)))|~((X1 @ (X3 @ X4) @ (X3 @ X5))))))|?[X6:a]:((((X1 @ (X3 @ X6) @ X6)|(X1 @ (X3 @ X6) @ X6))&((X1 @ X6 @ (X3 @ X6))|(X1 @ X6 @ (X3 @ X6)))))))|?[X7:a > $o]:((?[X8:a]:(((~((X1 @ X8 @ (X2 @ X7)))|~((X1 @ X8 @ (X2 @ X7))))&((X7 @ X8)|(X7 @ X8))))|?[X9:a]:(((~((X1 @ (X2 @ X7) @ X9))|~((X1 @ (X2 @ X7) @ X9)))&![X10:a]:((~((X7 @ X10))|(X1 @ X10 @ X9)|(X1 @ X10 @ X9)|~((X7 @ X10))))))))|?[X11:a, X12:a, X13:a]:(((((X1 @ X11 @ X12)|(X1 @ X11 @ X12))&(~((X1 @ X11 @ X13))|~((X1 @ X11 @ X13))))&((X1 @ X12 @ X13)|(X1 @ X12 @ X13)))))), file('/export/starexec/sandbox2/tmp/tmp.YMjFXg4HV3/E---3.1_6009.p', cT145_DOUBLE)). 29.46/4.23 thf(c_0_1, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((?[X4:a, X5:a]:(((X1 @ X4 @ X5)&~((X1 @ (X3 @ X4) @ (X3 @ X5)))))|?[X6:a]:(((X1 @ (X3 @ X6) @ X6)&(X1 @ X6 @ (X3 @ X6))))))|?[X7:a > $o]:((?[X8:a]:((~((X1 @ X8 @ (X2 @ X7)))&(X7 @ X8)))|?[X9:a]:((~((X1 @ (X2 @ X7) @ X9))&![X10:a]:((~((X7 @ X10))|(X1 @ X10 @ X9)|(X1 @ X10 @ X9)|~((X7 @ X10))))))))|?[X11:a, X12:a, X13:a]:((((X1 @ X11 @ X12)&~((X1 @ X11 @ X13)))&(X1 @ X12 @ X13)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cT145_DOUBLE])])). 29.46/4.23 thf(c_0_2, negated_conjecture, ![X30:a, X31:a, X32:a, X33:a > $o, X34:a, X35:a, X37:a, X38:a, X39:a]:(((((~(epred1_0 @ X30 @ X31)|(epred1_0 @ (esk2_0 @ X30) @ (esk2_0 @ X31)))&(~(epred1_0 @ (esk2_0 @ X32) @ X32)|~(epred1_0 @ X32 @ (esk2_0 @ X32))))&(((epred1_0 @ X34 @ (esk1_0 @ X33))|~(X33 @ X34))&(((((X33 @ (esk3_2 @ X33 @ X35))|(epred1_0 @ (esk1_0 @ X33) @ X35))&(~(epred1_0 @ (esk3_2 @ X33 @ X35) @ X35)|(epred1_0 @ (esk1_0 @ X33) @ X35)))&(~(epred1_0 @ (esk3_2 @ X33 @ X35) @ X35)|(epred1_0 @ (esk1_0 @ X33) @ X35)))&((X33 @ (esk3_2 @ X33 @ X35))|(epred1_0 @ (esk1_0 @ X33) @ X35)))))&(~(epred1_0 @ X37 @ X38)|(epred1_0 @ X37 @ X39)|~(epred1_0 @ X38 @ X39)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])). 29.46/4.23 thf(c_0_3, negated_conjecture, ![X4:a, X5:a, X6:a]:(((epred1_0 @ X4 @ X6)|~((epred1_0 @ X4 @ X5))|~((epred1_0 @ X5 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_4, negated_conjecture, ![X4:a, X5:a]:(((epred1_0 @ (esk2_0 @ X4) @ (esk2_0 @ X5))|~((epred1_0 @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_5, negated_conjecture, ![X4:a, X6:a, X5:a]:(((epred1_0 @ X4 @ (esk2_0 @ X5))|~((epred1_0 @ X4 @ (esk2_0 @ X6)))|~((epred1_0 @ X6 @ X5)))), inference(spm,[status(thm)],[c_0_3, c_0_4])). 29.46/4.23 thf(c_0_6, negated_conjecture, ![X7:a > $o, X4:a]:(((X7 @ (esk3_2 @ X7 @ X4))|(epred1_0 @ (esk1_0 @ X7) @ X4))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_7, negated_conjecture, ![X7:a > $o, X4:a]:(((epred1_0 @ X4 @ (esk1_0 @ X7))|~((X7 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_8, negated_conjecture, ![X3:a > a, X4:a, X16:a > a, X5:a]:(((epred1_0 @ (X3 @ (esk3_2 @ (^[Z0/* 3 */:a]:((epred1_0 @ (X3 @ Z0) @ (esk2_0 @ (X16 @ Z0))))) @ X4)) @ (esk2_0 @ X5))|(epred1_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ (X3 @ Z0) @ (esk2_0 @ (X16 @ Z0)))))) @ X4)|~((epred1_0 @ (X16 @ (esk3_2 @ (^[Z0/* 3 */:a]:((epred1_0 @ (X3 @ Z0) @ (esk2_0 @ (X16 @ Z0))))) @ X4)) @ X5)))), inference(spm,[status(thm)],[c_0_5, c_0_6])). 29.46/4.23 thf(c_0_9, negated_conjecture, ![X1:a > a > $o, X4:a]:(((epred1_0 @ (esk3_2 @ (^[Z0/* 3 */:a]:((X1 @ Z0 @ Z0))) @ X4) @ (esk1_0 @ (^[Z0/* 3 */:a]:((X1 @ Z0 @ Z0)))))|(epred1_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((X1 @ Z0 @ Z0)))) @ X4))), inference(spm,[status(thm)],[c_0_7, c_0_6])). 29.46/4.23 thf(c_0_10, negated_conjecture, ![X7:a > $o, X4:a]:(((epred1_0 @ (esk1_0 @ X7) @ X4)|~((epred1_0 @ (esk3_2 @ X7 @ X4) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_11, negated_conjecture, ![X4:a]:(((epred1_0 @ (esk3_2 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0)))) @ X4) @ (esk2_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0)))))))|(epred1_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0))))) @ X4))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 29.46/4.23 thf(c_0_12, negated_conjecture, ![X3:a > a, X4:a]:(((epred1_0 @ (esk2_0 @ X4) @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ (X3 @ Z0)))))))|~((epred1_0 @ X4 @ (X3 @ (esk2_0 @ X4)))))), inference(spm,[status(thm)],[c_0_7, c_0_4])). 29.46/4.23 thf(c_0_13, negated_conjecture, (epred1_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0))))) @ (esk2_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0))))))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 29.46/4.23 thf(c_0_14, negated_conjecture, ![X4:a]:((~((epred1_0 @ (esk2_0 @ X4) @ X4))|~((epred1_0 @ X4 @ (esk2_0 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_2])). 29.46/4.23 thf(c_0_15, negated_conjecture, (epred1_0 @ (esk2_0 @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0)))))) @ (esk1_0 @ (^[Z0/* 3 */:a]:((epred1_0 @ Z0 @ (esk2_0 @ Z0)))))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 29.46/4.23 thf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_13])]), ['proof']). 29.46/4.23 # SZS output end CNFRefutation 29.46/4.23 # Parsed axioms : 2 29.46/4.23 # Removed by relevancy pruning/SinE : 1 29.46/4.23 # Initial clauses : 8 29.46/4.23 # Removed in clause preprocessing : 0 29.46/4.23 # Initial clauses in saturation : 8 29.46/4.23 # Processed clauses : 938 29.46/4.23 # ...of these trivial : 143 29.46/4.23 # ...subsumed : 312 29.46/4.23 # ...remaining for further processing : 483 29.46/4.23 # Other redundant clauses eliminated : 0 29.46/4.23 # Clauses deleted for lack of memory : 0 29.46/4.23 # Backward-subsumed : 29 29.46/4.23 # Backward-rewritten : 41 29.46/4.23 # Generated clauses : 52745 29.46/4.23 # ...of the previous two non-redundant : 45327 29.46/4.23 # ...aggressively subsumed : 0 29.46/4.23 # Contextual simplify-reflections : 0 29.46/4.23 # Paramodulations : 52557 29.46/4.23 # Factorizations : 187 29.46/4.23 # NegExts : 0 29.46/4.23 # Equation resolutions : 1 29.46/4.23 # Disequality decompositions : 0 29.46/4.23 # Total rewrite steps : 7856 29.46/4.23 # ...of those cached : 6878 29.46/4.23 # Propositional unsat checks : 0 29.46/4.23 # Propositional check models : 0 29.46/4.23 # Propositional check unsatisfiable : 0 29.46/4.23 # Propositional clauses : 0 29.46/4.23 # Propositional clauses after purity: 0 29.46/4.23 # Propositional unsat core size : 0 29.46/4.23 # Propositional preprocessing time : 0.000 29.46/4.23 # Propositional encoding time : 0.000 29.46/4.23 # Propositional solver time : 0.000 29.46/4.23 # Success case prop preproc time : 0.000 29.46/4.23 # Success case prop encoding time : 0.000 29.46/4.23 # Success case prop solver time : 0.000 29.46/4.23 # Current number of processed clauses : 407 29.46/4.23 # Positive orientable unit clauses : 94 29.46/4.23 # Positive unorientable unit clauses: 0 29.46/4.23 # Negative unit clauses : 15 29.46/4.23 # Non-unit-clauses : 298 29.46/4.23 # Current number of unprocessed clauses: 43860 29.46/4.23 # ...number of literals in the above : 138752 29.46/4.23 # Current number of archived formulas : 0 29.46/4.23 # Current number of archived clauses : 76 29.46/4.23 # Clause-clause subsumption calls (NU) : 14239 29.46/4.23 # Rec. Clause-clause subsumption calls : 11933 29.46/4.23 # Non-unit clause-clause subsumptions : 334 29.46/4.23 # Unit Clause-clause subsumption calls : 2823 29.46/4.23 # Rewrite failures with RHS unbound : 0 29.46/4.23 # BW rewrite match attempts : 2172 29.46/4.23 # BW rewrite match successes : 53 29.46/4.23 # Condensation attempts : 938 29.46/4.23 # Condensation successes : 10 29.46/4.23 # Termbank termtop insertions : 13560506 29.46/4.23 # Search garbage collected termcells : 358 29.46/4.23 29.46/4.23 # ------------------------------------------------- 29.46/4.23 # User time : 3.478 s 29.46/4.23 # System time : 0.153 s 29.46/4.23 # Total time : 3.631 s 29.46/4.23 # Maximum resident set size: 1864 pages 29.46/4.23 29.46/4.23 # ------------------------------------------------- 29.46/4.23 # User time : 10.603 s 29.46/4.23 # System time : 0.326 s 29.46/4.23 # Total time : 10.930 s 29.46/4.23 # Maximum resident set size: 1744 pages 29.46/4.23 % E exiting 29.46/4.23 % E exiting 29.46/4.23 EOF