0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.34 % Computer : n028.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 02:51:34 EDT 2025 0.12/0.34 % CPUTime : 0.20/0.50 Running higher-order theorem proving 0.20/0.52 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.4VzwRh0Yh5/E---3.1_9605.p 0.35/0.75 # Version: 3.0.0-ho 0.35/0.75 # Preprocessing class: HSMSSMSSSSSNHHA. 0.35/0.75 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.75 # Starting full_lambda_6 with 720s (3) cores 0.35/0.75 # Starting post_as_ho1 with 240s (1) cores 0.35/0.75 # Starting lpo6_lambda_fix with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_1 with 240s (1) cores 0.35/0.75 # Starting new_ho_10_unif with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_2 with 240s (1) cores 0.35/0.75 # ho_unfolding_2 with pid 9688 completed with status 0 0.35/0.75 # Result found by ho_unfolding_2 0.35/0.75 # Preprocessing class: HSMSSMSSSSSNHHA. 0.35/0.75 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.75 # Starting full_lambda_6 with 720s (3) cores 0.35/0.75 # Starting post_as_ho1 with 240s (1) cores 0.35/0.75 # Starting lpo6_lambda_fix with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_1 with 240s (1) cores 0.35/0.75 # Starting new_ho_10_unif with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_2 with 240s (1) cores 0.35/0.75 # No SInE strategy applied 0.35/0.75 # Search class: HGUNF-FFSF00-SHHFFMBN 0.35/0.75 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.35/0.75 # Starting ehoh_best6_lambda with 130s (1) cores 0.35/0.75 # ehoh_best6_lambda with pid 9695 completed with status 0 0.35/0.75 # Result found by ehoh_best6_lambda 0.35/0.75 # Preprocessing class: HSMSSMSSSSSNHHA. 0.35/0.75 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 0.35/0.75 # Starting full_lambda_6 with 720s (3) cores 0.35/0.75 # Starting post_as_ho1 with 240s (1) cores 0.35/0.75 # Starting lpo6_lambda_fix with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_1 with 240s (1) cores 0.35/0.75 # Starting new_ho_10_unif with 240s (1) cores 0.35/0.75 # Starting ho_unfolding_2 with 240s (1) cores 0.35/0.75 # No SInE strategy applied 0.35/0.75 # Search class: HGUNF-FFSF00-SHHFFMBN 0.35/0.75 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.35/0.75 # Starting ehoh_best6_lambda with 130s (1) cores 0.35/0.75 # Preprocessing time : 0.001 s 0.35/0.75 # Presaturation interreduction done 0.35/0.75 0.35/0.75 # Proof found! 0.35/0.75 # SZS status Theorem 0.35/0.75 # SZS output start CNFRefutation 0.35/0.75 thf(decl_23, type, epred1_0: ($o > $o) > ($o > $o) > $o). 0.35/0.75 thf(decl_24, type, epred2_0: ($o > $o) > $o). 0.35/0.75 thf(ramsey_u_2_4_4, conjecture, ![X1:($o > $o) > ($o > $o) > $o]:(((?[X2:$o > $o, X3:$o > $o, X4:$o > $o, X5:$o > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:($o > $o) > $o]:(((((((((((((((((((X6 @ X2)&~((X6 @ X3)))&~((X6 @ X5)))&~((X7 @ X2)))&~((X7 @ X4)))&~((X8 @ X3)))&(X8 @ X4))&~((X1 @ X5 @ X4)))&~((X1 @ X5 @ X3)))&~((X1 @ X5 @ X2)))&~((X1 @ X4 @ X3)))&~((X1 @ X4 @ X2)))&~((X1 @ X3 @ X2)))&~((X8 @ X5)))&~((X8 @ X2)))&~((X7 @ X5)))&(X7 @ X3))&~((X6 @ X4))))|?[X2:$o > $o, X3:$o > $o, X6:($o > $o) > $o]:((((X6 @ X2)&~((X6 @ X3)))&(X1 @ X3 @ X2))))<=![X9:$o > $o, X10:$o > $o]:(((X1 @ X9 @ X10)=>(X1 @ X10 @ X9))))), file('/export/starexec/sandbox2/tmp/tmp.4VzwRh0Yh5/E---3.1_9605.p', ramsey_u_2_4_4)). 0.35/0.75 thf(c_0_1, negated_conjecture, ~(![X1:($o > $o) > ($o > $o) > $o]:((![X9:$o > $o, X10:$o > $o]:(((X1 @ X9 @ X10)=>(X1 @ X10 @ X9)))=>(?[X2:$o > $o, X3:$o > $o, X4:$o > $o, X5:$o > $o, X6:($o > $o) > $o, X7:($o > $o) > $o, X8:($o > $o) > $o]:(((((((((((((((((((X6 @ X2)&~((X6 @ X3)))&~((X6 @ X5)))&~((X7 @ X2)))&~((X7 @ X4)))&~((X8 @ X3)))&(X8 @ X4))&~((X1 @ X5 @ X4)))&~((X1 @ X5 @ X3)))&~((X1 @ X5 @ X2)))&~((X1 @ X4 @ X3)))&~((X1 @ X4 @ X2)))&~((X1 @ X3 @ X2)))&~((X8 @ X5)))&~((X8 @ X2)))&~((X7 @ X5)))&(X7 @ X3))&~((X6 @ X4))))|?[X2:$o > $o, X3:$o > $o, X6:($o > $o) > $o]:((((X6 @ X2)&~((X6 @ X3)))&(X1 @ X3 @ X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_u_2_4_4])])). 0.35/0.75 thf(c_0_2, negated_conjecture, ![X25:$o > $o, X26:$o > $o, X27:$o > $o, X28:$o > $o, X29:$o > $o, X30:$o > $o, X31:($o > $o) > $o, X32:($o > $o) > $o, X33:($o > $o) > $o, X34:$o > $o, X35:$o > $o, X36:($o > $o) > $o]:(((~(epred1_0 @ X25 @ X26)|(epred1_0 @ X26 @ X25))&((~(X31 @ X27)|(X31 @ X28)|(X31 @ X30)|(X32 @ X27)|(X32 @ X29)|(X33 @ X28)|~(X33 @ X29)|(epred1_0 @ X30 @ X29)|(epred1_0 @ X30 @ X28)|(epred1_0 @ X30 @ X27)|(epred1_0 @ X29 @ X28)|(epred1_0 @ X29 @ X27)|(epred1_0 @ X28 @ X27)|(X33 @ X30)|(X33 @ X27)|(X32 @ X30)|~(X32 @ X28)|(X31 @ X29))&(~(X36 @ X34)|(X36 @ X35)|~(epred1_0 @ X35 @ X34))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 0.35/0.75 thf(c_0_3, negated_conjecture, ![X2:$o > $o, X4:$o > $o, X6:($o > $o) > $o, X8:($o > $o) > $o, X7:($o > $o) > $o, X5:$o > $o, X3:$o > $o]:(((X6 @ X3)|(X6 @ X4)|(X7 @ X2)|(X7 @ X5)|(X8 @ X3)|(epred1_0 @ X4 @ X5)|(epred1_0 @ X4 @ X3)|(epred1_0 @ X4 @ X2)|(epred1_0 @ X5 @ X3)|(epred1_0 @ X5 @ X2)|(epred1_0 @ X3 @ X2)|(X8 @ X4)|(X8 @ X2)|(X7 @ X4)|(X6 @ X5)|~((X6 @ X2))|~((X8 @ X5))|~((X7 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.35/0.75 thf(c_0_4, negated_conjecture, ![X6:($o > $o) > $o, X3:$o > $o, X2:$o > $o]:(((X6 @ X3)|~((X6 @ X2))|~((epred1_0 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.35/0.75 thf(c_0_5, plain, ![X37:$o > $o, X38:$o]:(((X37 @ ((epred2_0 @ X37)))|~((X37 @ ((X38)))))), inference(introduce_choice_axiom,[status(thm)],[])). 0.35/0.75 thf(c_0_6, negated_conjecture, ![X3:$o > $o, X2:$o > $o, X4:$o > $o, X8:($o > $o) > $o, X7:($o > $o) > $o, X6:($o > $o) > $o, X5:$o > $o]:(((X6 @ X2)|(X6 @ X3)|(X6 @ X4)|(X7 @ X5)|(X7 @ X3)|(X7 @ X4)|(X8 @ X5)|(X8 @ X2)|(X8 @ X3)|~((X8 @ X4))|~((X7 @ X2))|~((X6 @ X5)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3, c_0_4]), c_0_4]), c_0_4]), c_0_4]), c_0_4]), c_0_4])). 0.35/0.75 thf(c_0_7, negated_conjecture, ![X2:$o > $o, X38:$o]:(((X2 @ ((epred2_0 @ X2)))|~((X2 @ ((X38)))))), inference(choice_inst,[status(thm)],[c_0_4, c_0_5])). 0.35/0.75 thf(c_0_8, negated_conjecture, ![X3:$o > $o, X5:$o > $o, X7:($o > $o) > $o, X6:($o > $o) > $o, X4:$o > $o, X2:$o > $o]:((((X2)=(X3))|((X4)=(X3))|((X5)=(X3))|(X6 @ X4)|(X6 @ X5)|(X6 @ X3)|(X7 @ X2)|(X7 @ X5)|(X7 @ X3)|~((X7 @ X4))|~((X6 @ X2)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_6])). 0.35/0.75 thf(c_0_9, negated_conjecture, ![X38:$o]:(((epred2_0 @ (^[Z0/* 3 */:$o]:((((Z0))=((X38))))))<=>(X38))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_7])). 0.35/0.75 thf(c_0_10, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X6:($o > $o) > $o, X5:$o > $o, X4:$o > $o]:((((X2)=(X3))|((X4)=(X3))|((X2)=(X5))|((X3)=(X5))|((X4)=(X5))|(X6 @ X5)|(X6 @ X2)|(X6 @ X3)|~((X6 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_8])). 0.35/0.75 thf(c_0_11, negated_conjecture, ~((epred2_0 @ (^[Z0/* 7 */:$o]:(~((Z0)))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9])])). 0.35/0.75 thf(c_0_12, negated_conjecture, ![X3:$o > $o, X2:$o > $o, X4:$o > $o, X5:$o > $o]:((((X2)=(X3))|((X3)=(X4))|((X5)=(X4))|((X2)=(X4))|((X3)=(X5))|((X2)=(X5)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])). 0.35/0.75 thf(c_0_13, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X4:$o > $o]:((((X2)=($not))|(($not)=(X3))|((X4)=(X3))|((X2)=(X3))|((X4)=(X2))|~((epred2_0 @ X4)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.35/0.75 thf(c_0_14, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X469:$o, X4:$o > $o]:((((X2 @ ((X469)))<=>~((X469)))|(($not)=(X3))|((X4)=(X2))|((X2)=(X3))|((X4)=(X3))|~((epred2_0 @ X4)))), inference(arg_cong,[status(thm)],[c_0_13])). 0.35/0.75 thf(c_0_15, negated_conjecture, ![X2:$o > $o, X4:$o > $o, X3:$o > $o]:(((($not)=(X2))|((X3)=(X2))|((X4)=(X2))|((X3)=(X4))|(X4 @ (~($true)))|~((epred2_0 @ X3)))), inference(dynamic_cnf,[status(thm)],[c_0_14])). 0.35/0.75 thf(c_0_16, negated_conjecture, (epred2_0 @ (^[Z0/* 3 */:$o]:((Z0)))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9])])). 0.35/0.75 thf(c_0_17, negated_conjecture, ![X3:$o > $o, X2:$o > $o]:((((^[Z0/* 3 */:$o]:((Z0)))=(X2))|((^[Z0/* 3 */:$o]:((Z0)))=(X3))|(($not)=(X3))|((X2)=(X3))|(X2 @ (~($true))))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.35/0.75 thf(c_0_18, negated_conjecture, ![X1039:$o, X3:$o > $o, X2:$o > $o]:(((($not)=(X3))|((^[Z0/* 3 */:$o]:((Z0)))=(X3))|((X1039)<=>(X2 @ ((X1039))))|((X2)=(X3))|(X2 @ (~($true))))), inference(arg_cong,[status(thm)],[c_0_17])). 0.35/0.75 thf(c_0_19, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:((((^[Z0/* 3 */:$o]:((Z0)))=(X2))|(($not)=(X2))|((X3)=(X2))|(X3 @ (~($true)))|(X3 @ (($true))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_18])])). 0.35/0.75 thf(c_0_20, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:(((($not)=(X2))|((^[Z0/* 3 */:$o]:((Z0)))=(X2))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_19]), c_0_7])). 0.35/0.75 thf(c_0_21, negated_conjecture, ![X2:$o > $o, X1589:$o, X3:$o > $o]:(((($not)=(X2))|((X1589)<=>(X2 @ ((X1589))))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3))))), inference(arg_cong,[status(thm)],[c_0_20])). 0.35/0.75 thf(c_0_22, negated_conjecture, ![X3:$o > $o, X2:$o > $o]:(((($not)=(X2))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3)))|~((X2 @ (~($true)))))), inference(dynamic_cnf,[status(thm)],[c_0_21])). 0.35/0.75 thf(c_0_23, negated_conjecture, ![X1607:$o, X3:$o > $o, X2:$o > $o]:(((~((X1607))<=>(X2 @ ((X1607))))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3)))|~((X2 @ (~($true)))))), inference(arg_cong,[status(thm)],[c_0_22])). 0.35/0.75 thf(c_0_24, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:((((X2)=(X3))|(X2 @ ((epred2_0 @ X2)))|~((X3 @ (($true))))|~((X3 @ (~($true)))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])])). 0.35/0.75 thf(c_0_25, negated_conjecture, ![X2:$o > $o, X1644:$o, X3:$o > $o]:((((X2 @ ((X1644)))<=>(X3 @ ((X1644))))|(X2 @ ((epred2_0 @ X2)))|~((X3 @ (($true))))|~((X3 @ (~($true)))))), inference(arg_cong,[status(thm)],[c_0_24])). 0.35/0.75 thf(c_0_26, negated_conjecture, ($false), inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_25])])]), ['proof']). 0.35/0.75 # SZS output end CNFRefutation 0.35/0.75 # Parsed axioms : 1 0.35/0.75 # Removed by relevancy pruning/SinE : 0 0.35/0.75 # Initial clauses : 3 0.35/0.75 # Removed in clause preprocessing : 0 0.35/0.75 # Initial clauses in saturation : 3 0.35/0.75 # Processed clauses : 769 0.35/0.75 # ...of these trivial : 19 0.35/0.75 # ...subsumed : 196 0.35/0.75 # ...remaining for further processing : 553 0.35/0.75 # Other redundant clauses eliminated : 1592 0.35/0.75 # Clauses deleted for lack of memory : 0 0.35/0.75 # Backward-subsumed : 74 0.35/0.75 # Backward-rewritten : 0 0.35/0.75 # Generated clauses : 11835 0.35/0.75 # ...of the previous two non-redundant : 4367 0.35/0.75 # ...aggressively subsumed : 0 0.35/0.75 # Contextual simplify-reflections : 16 0.35/0.75 # Paramodulations : 8654 0.35/0.75 # Factorizations : 463 0.35/0.75 # NegExts : 115 0.35/0.75 # Equation resolutions : 1592 0.35/0.75 # Disequality decompositions : 0 0.35/0.75 # Total rewrite steps : 2938 0.35/0.75 # ...of those cached : 2937 0.35/0.75 # Propositional unsat checks : 0 0.35/0.75 # Propositional check models : 0 0.35/0.75 # Propositional check unsatisfiable : 0 0.35/0.75 # Propositional clauses : 0 0.35/0.75 # Propositional clauses after purity: 0 0.35/0.75 # Propositional unsat core size : 0 0.35/0.75 # Propositional preprocessing time : 0.000 0.35/0.75 # Propositional encoding time : 0.000 0.35/0.75 # Propositional solver time : 0.000 0.35/0.75 # Success case prop preproc time : 0.000 0.35/0.75 # Success case prop encoding time : 0.000 0.35/0.75 # Success case prop solver time : 0.000 0.35/0.75 # Current number of processed clauses : 156 0.35/0.75 # Positive orientable unit clauses : 2 0.35/0.75 # Positive unorientable unit clauses: 0 0.35/0.75 # Negative unit clauses : 1 0.35/0.75 # Non-unit-clauses : 153 0.35/0.75 # Current number of unprocessed clauses: 3601 0.35/0.75 # ...number of literals in the above : 30557 0.35/0.75 # Current number of archived formulas : 0 0.35/0.75 # Current number of archived clauses : 398 0.35/0.75 # Clause-clause subsumption calls (NU) : 13278 0.35/0.75 # Rec. Clause-clause subsumption calls : 1267 0.35/0.75 # Non-unit clause-clause subsumptions : 285 0.35/0.75 # Unit Clause-clause subsumption calls : 7 0.35/0.75 # Rewrite failures with RHS unbound : 0 0.35/0.75 # BW rewrite match attempts : 1 0.35/0.75 # BW rewrite match successes : 1 0.35/0.75 # Condensation attempts : 0 0.35/0.75 # Condensation successes : 0 0.35/0.75 # Termbank termtop insertions : 461225 0.35/0.75 # Search garbage collected termcells : 424 0.35/0.75 0.35/0.75 # ------------------------------------------------- 0.35/0.75 # User time : 0.218 s 0.35/0.75 # System time : 0.001 s 0.35/0.75 # Total time : 0.219 s 0.35/0.75 # Maximum resident set size: 1724 pages 0.35/0.75 0.35/0.75 # ------------------------------------------------- 0.35/0.75 # User time : 0.218 s 0.35/0.75 # System time : 0.004 s 0.35/0.75 # Total time : 0.223 s 0.35/0.75 # Maximum resident set size: 1728 pages 0.35/0.75 % E exiting 1.92/0.76 % E exiting 1.92/0.76 EOF