0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.16/0.47 % Computer : n025.cluster.edu 0.16/0.47 % Model : x86_64 x86_64 0.16/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.47 % Memory : 8046.5625MB 0.16/0.47 % OS : Linux 6.8.0-71-generic 0.16/0.47 % CPULimit : 1440 0.16/0.47 % WCLimit : 180 0.16/0.47 % DateTime : Mon Jul 27 10:58:58 UTC 2026 0.16/0.48 % CPUTime : 0.16/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.22/0.57 Running higher-order theorem proving 0.22/0.59 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.iWJbB9Hamc/E---3.1_2535924.p 7.51/2.00 % Version: 3.5.1-ho 7.51/2.00 % Preprocessing class: HSMSSMSSSSSNHHA. 7.51/2.00 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 7.51/2.00 % Starting full_lambda_6 with 540s (3) cores 7.51/2.00 % Starting post_as_ho1 with 180s (1) cores 7.51/2.00 % Starting lpo6_lambda_fix with 180s (1) cores 7.51/2.00 % Starting ho_unfolding_1 with 180s (1) cores 7.51/2.00 % Starting new_ho_10_unif with 180s (1) cores 7.51/2.00 % Starting ho_unfolding_2 with 180s (1) cores 7.51/2.00 % lpo6_lambda_fix with pid 2535939 completed with status 0 7.51/2.00 % Result found by lpo6_lambda_fix 7.51/2.00 % Preprocessing class: HSMSSMSSSSSNHHA. 7.51/2.00 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 7.51/2.00 % Starting full_lambda_6 with 540s (3) cores 7.51/2.00 % Starting post_as_ho1 with 180s (1) cores 7.51/2.00 % Starting lpo6_lambda_fix with 180s (1) cores 7.51/2.00 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto) 7.51/2.00 % No SInE strategy applied 7.51/2.00 % Search class: HGUNF-FFSF00-SHHFFMBN 7.51/2.00 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 7.51/2.00 % Starting SubtermCWHack with 17s (1) cores 7.51/2.00 % SubtermCWHack with pid 2535944 completed with status 10 7.51/2.00 % Starting lpo6_lambda_fix with 19s (1) cores 7.51/2.00 % lpo6_lambda_fix with pid 2535954 completed with status 10 7.51/2.00 % Starting ehoh_best_sine with 17s (1) cores 7.51/2.00 % ehoh_best_sine with pid 2535963 completed with status 10 7.51/2.00 % Starting ehoh_best_nonlift_nonlambdatoforall with 17s (1) cores 7.51/2.00 % ehoh_best_nonlift_nonlambdatoforall with pid 2535967 completed with status 10 7.51/2.00 % Starting sh2lt with 17s (1) cores 7.51/2.00 % sh2lt with pid 2535970 completed with status 10 7.51/2.00 % Starting sh2l with 17s (1) cores 7.51/2.00 % sh2l with pid 2535973 completed with status 10 7.51/2.00 % Starting ehoh_best6_lambda with 76s (1) cores 7.51/2.00 % ehoh_best6_lambda with pid 2535974 completed with status 0 7.51/2.00 % Result found by ehoh_best6_lambda 7.51/2.00 % Preprocessing class: HSMSSMSSSSSNHHA. 7.51/2.00 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 7.51/2.00 % Starting full_lambda_6 with 540s (3) cores 7.51/2.00 % Starting post_as_ho1 with 180s (1) cores 7.51/2.00 % Starting lpo6_lambda_fix with 180s (1) cores 7.51/2.00 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto) 7.51/2.00 % No SInE strategy applied 7.51/2.00 % Search class: HGUNF-FFSF00-SHHFFMBN 7.51/2.00 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 7.51/2.00 % Starting SubtermCWHack with 17s (1) cores 7.51/2.00 % SubtermCWHack with pid 2535944 completed with status 10 7.51/2.00 % Starting lpo6_lambda_fix with 19s (1) cores 7.51/2.00 % lpo6_lambda_fix with pid 2535954 completed with status 10 7.51/2.00 % Starting ehoh_best_sine with 17s (1) cores 7.51/2.00 % ehoh_best_sine with pid 2535963 completed with status 10 7.51/2.00 % Starting ehoh_best_nonlift_nonlambdatoforall with 17s (1) cores 7.51/2.00 % ehoh_best_nonlift_nonlambdatoforall with pid 2535967 completed with status 10 7.51/2.00 % Starting sh2lt with 17s (1) cores 7.51/2.00 % sh2lt with pid 2535970 completed with status 10 7.51/2.00 % Starting sh2l with 17s (1) cores 7.51/2.00 % sh2l with pid 2535973 completed with status 10 7.51/2.00 % Starting ehoh_best6_lambda with 76s (1) cores 7.51/2.00 % Preprocessing time : 0.002 s 7.51/2.00 % Presaturation interreduction done 7.51/2.00 7.51/2.00 % Proof found! 7.51/2.00 % SZS status Theorem 7.51/2.00 % SZS output start CNFRefutation 7.51/2.00 thf(decl_23, type, epred1_0: ($o > $o) > ($o > $o) > $o). 7.51/2.00 thf(decl_24, type, epred2_0: ($o > $o) > $o). 7.51/2.00 thf(ramsey_u_2_4_4, conjecture, ![X1:($o > $o) > ($o > $o) > $o]:((![X2:$o > $o, X3:$o > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))=>(?[X4:$o > $o, X5:$o > $o, X6:($o > $o) > $o]:((((X6 @ X4)&(X1 @ X5 @ X4))&~((X6 @ X5))))|?[X4:$o > $o, X5:$o > $o, X7:$o > $o, X8:$o > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o]:(((((((((((((((((((X6 @ X4)&~((X6 @ X7)))&~((X6 @ X8)))&~((X9 @ X4)))&~((X9 @ X8)))&~((X10 @ X5)))&(X10 @ X7))&~((X10 @ X8)))&~((X1 @ X5 @ X4)))&~((X1 @ X7 @ X5)))&~((X1 @ X8 @ X4)))&~((X1 @ X8 @ X7)))&~((X1 @ X8 @ X5)))&~((X1 @ X7 @ X4)))&~((X10 @ X4)))&~((X9 @ X7)))&(X9 @ X5))&~((X6 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.iWJbB9Hamc/E---3.1_2535924.p', ramsey_u_2_4_4)). 7.51/2.00 thf(c_0_1, negated_conjecture, ~(![X1:($o > $o) > ($o > $o) > $o]:((![X2:$o > $o, X3:$o > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))=>(?[X4:$o > $o, X5:$o > $o, X6:($o > $o) > $o]:((((X6 @ X4)&(X1 @ X5 @ X4))&~((X6 @ X5))))|?[X4:$o > $o, X5:$o > $o, X7:$o > $o, X8:$o > $o, X6:($o > $o) > $o, X9:($o > $o) > $o, X10:($o > $o) > $o]:(((((((((((((((((((X6 @ X4)&~((X6 @ X7)))&~((X6 @ X8)))&~((X9 @ X4)))&~((X9 @ X8)))&~((X10 @ X5)))&(X10 @ X7))&~((X10 @ X8)))&~((X1 @ X5 @ X4)))&~((X1 @ X7 @ X5)))&~((X1 @ X8 @ X4)))&~((X1 @ X8 @ X7)))&~((X1 @ X8 @ X5)))&~((X1 @ X7 @ X4)))&~((X10 @ X4)))&~((X9 @ X7)))&(X9 @ X5))&~((X6 @ X5)))))))), inference(assume_negation,[status(cth)],[ramsey_u_2_4_4])). 7.51/2.00 thf(c_0_2, negated_conjecture, ![X25:$o > $o, X26:$o > $o, X27:$o > $o, X28:$o > $o, X29:($o > $o) > $o, X30:$o > $o, X31:$o > $o, X32:$o > $o, X33:$o > $o, X34:($o > $o) > $o, X35:($o > $o) > $o, X36:($o > $o) > $o]:(((~(epred1_0 @ X25 @ X26)|(epred1_0 @ X26 @ X25))&((~(X29 @ X27)|~(epred1_0 @ X28 @ X27)|(X29 @ X28))&(~(X34 @ X30)|(X34 @ X32)|(X34 @ X33)|(X35 @ X30)|(X35 @ X33)|(X36 @ X31)|~(X36 @ X32)|(X36 @ X33)|(epred1_0 @ X31 @ X30)|(epred1_0 @ X32 @ X31)|(epred1_0 @ X33 @ X30)|(epred1_0 @ X33 @ X32)|(epred1_0 @ X33 @ X31)|(epred1_0 @ X32 @ X30)|(X36 @ X30)|(X35 @ X32)|~(X35 @ X31)|(X34 @ X31))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 7.51/2.00 thf(c_0_3, negated_conjecture, ![X2:$o > $o, X4:$o > $o, X3:$o > $o, X6:($o > $o) > $o, X10:($o > $o) > $o, X9:($o > $o) > $o, X5:$o > $o]:(((X6 @ X3)|(X6 @ X4)|(X9 @ X2)|(X9 @ X4)|(X10 @ X5)|(X10 @ X4)|(epred1_0 @ X5 @ X2)|(epred1_0 @ X3 @ X5)|(epred1_0 @ X4 @ X2)|(epred1_0 @ X4 @ X3)|(epred1_0 @ X4 @ X5)|(epred1_0 @ X3 @ X2)|(X10 @ X2)|(X9 @ X3)|(X6 @ X5)|~((X6 @ X2))|~((X10 @ X3))|~((X9 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 7.51/2.00 thf(c_0_4, negated_conjecture, ![X6:($o > $o) > $o, X3:$o > $o, X2:$o > $o]:(((X6 @ X3)|~((X6 @ X2))|~((epred1_0 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 7.51/2.00 thf(c_0_5, plain, ![X37:$o > $o, X38:$o]:(((X37 @ ((epred2_0 @ X37)))|~((X37 @ ((X38)))))), inference(introduce_choice_axiom,[status(thm)],[])). 7.51/2.00 thf(c_0_6, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X4:$o > $o, X10:($o > $o) > $o, X9:($o > $o) > $o, X6:($o > $o) > $o, X5:$o > $o]:(((X6 @ X2)|(X6 @ X3)|(X6 @ X4)|(X9 @ X5)|(X9 @ X2)|(X9 @ X3)|(X10 @ X5)|(X10 @ X3)|(X10 @ X4)|~((X10 @ X2))|~((X9 @ X4))|~((X6 @ X5)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3, c_0_4]), c_0_4]), c_0_4]), c_0_4]), c_0_4]), c_0_4])). 7.51/2.00 thf(c_0_7, negated_conjecture, ![X2:$o > $o, X38:$o]:(((X2 @ ((epred2_0 @ X2)))|~((X2 @ ((X38)))))), inference(choice_inst,[status(thm)],[c_0_4, c_0_5])). 7.51/2.00 thf(c_0_8, negated_conjecture, ![X4:$o > $o, X3:$o > $o, X9:($o > $o) > $o, X6:($o > $o) > $o, X5:$o > $o, X2:$o > $o]:((((X2)=(X3))|((X4)=(X3))|((X5)=(X3))|(X6 @ X3)|(X6 @ X4)|(X6 @ X5)|(X9 @ X2)|(X9 @ X3)|(X9 @ X4)|~((X9 @ X5))|~((X6 @ X2)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_6])). 7.51/2.00 thf(c_0_9, negated_conjecture, ![X38:$o]:(((epred2_0 @ (^[Z0:$o]:((((Z0))=((X38))))))<=>(X38))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_7])). 7.51/2.00 thf(c_0_10, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X6:($o > $o) > $o, X5:$o > $o, X4:$o > $o]:((((X2)=(X3))|((X4)=(X3))|((X3)=(X5))|((X2)=(X5))|((X4)=(X5))|(X6 @ X3)|(X6 @ X2)|(X6 @ X5)|~((X6 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_8])). 7.51/2.00 thf(c_0_11, negated_conjecture, ~((epred2_0 @ (^[Z0:$o]:(~((Z0)))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9])])). 7.51/2.00 thf(c_0_12, negated_conjecture, ![X3:$o > $o, X2:$o > $o, X4:$o > $o, X5:$o > $o]:((((X2)=(X3))|((X3)=(X4))|((X2)=(X4))|((X5)=(X4))|((X3)=(X5))|((X2)=(X5)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])). 7.51/2.00 thf(c_0_13, negated_conjecture, ![X2:$o > $o, X3:$o > $o, X4:$o > $o]:((((X2)=($not))|(($not)=(X3))|((X4)=(X3))|((X2)=(X3))|((X4)=(X2))|~((epred2_0 @ X4)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 7.51/2.00 thf(c_0_14, negated_conjecture, ![X2:$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])). 7.51/2.00 thf(c_0_15, negated_conjecture, ![X2:$o > $o, X4:$o > $o, X3:$o > $o]:(((($not)=(X2))|((X3)=(X2))|((X4)=(X2))|((X3)=(X4))|(X4 @ (~($true)))|~((epred2_0 @ X3)))), inference(dynamic_cnf,[status(thm)],[c_0_14])). 7.51/2.00 thf(c_0_16, negated_conjecture, (epred2_0 @ (^[Z0:$o]:((Z0)))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_9])])). 7.51/2.00 thf(c_0_17, negated_conjecture, ![X3:$o > $o, X2:$o > $o]:((((^[Z0:$o]:((Z0)))=(X2))|((^[Z0:$o]:((Z0)))=(X3))|(($not)=(X3))|((X2)=(X3))|(X2 @ (~($true))))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 7.51/2.00 thf(c_0_18, negated_conjecture, ![X1039:$o, X3:$o > $o, X2:$o > $o]:(((($not)=(X3))|((^[Z0:$o]:((Z0)))=(X3))|((X1039)<=>(X2 @ ((X1039))))|((X2)=(X3))|(X2 @ (~($true))))), inference(arg_cong,[status(thm)],[c_0_17])). 7.51/2.00 thf(c_0_19, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:((((^[Z0:$o]:((Z0)))=(X2))|(($not)=(X2))|((X3)=(X2))|(X3 @ (~($true)))|(X3 @ (($true))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_18])])). 7.51/2.00 thf(c_0_20, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:(((($not)=(X2))|((^[Z0:$o]:((Z0)))=(X2))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_19]), c_0_7])). 7.51/2.00 thf(c_0_21, negated_conjecture, ![X2:$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])). 7.51/2.00 thf(c_0_22, negated_conjecture, ![X3:$o > $o, X2:$o > $o]:(((($not)=(X2))|((X3)=(X2))|(X3 @ ((epred2_0 @ X3)))|~((X2 @ (~($true)))))), inference(dynamic_cnf,[status(thm)],[c_0_21])). 7.51/2.00 thf(c_0_23, negated_conjecture, ![X1607:$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])). 7.51/2.00 thf(c_0_24, negated_conjecture, ![X2:$o > $o, X3:$o > $o]:((((X2)=(X3))|(X2 @ ((epred2_0 @ X2)))|~((X3 @ (($true))))|~((X3 @ (~($true)))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])])). 7.51/2.00 thf(c_0_25, negated_conjecture, ![X2:$o > $o, X1644:$o, X3:$o > $o]:((((X2 @ ((X1644)))<=>(X3 @ ((X1644))))|(X2 @ ((epred2_0 @ X2)))|~((X3 @ (($true))))|~((X3 @ (~($true)))))), inference(arg_cong,[status(thm)],[c_0_24])). 7.51/2.00 thf(c_0_26, negated_conjecture, ($false), inference(flex_resolve,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_25])])]), ['proof']). 7.51/2.00 % SZS output end CNFRefutation 7.51/2.00 % Parsed axioms : 1 7.51/2.00 % Removed by relevancy pruning/SinE : 0 7.51/2.00 % Initial clauses : 3 7.51/2.00 % Removed in clause preprocessing : 0 7.51/2.00 % Initial clauses in saturation : 3 7.51/2.00 % Processed clauses : 769 7.51/2.00 % ...of these trivial : 19 7.51/2.00 % ...subsumed : 196 7.51/2.00 % ...remaining for further processing : 553 7.51/2.00 % Other redundant clauses eliminated : 1592 7.51/2.00 % Clauses deleted for lack of memory : 0 7.51/2.00 % Backward-subsumed : 74 7.51/2.00 % Backward-rewritten : 0 7.51/2.00 % Generated clauses : 11835 7.51/2.00 % ...of the previous two non-redundant : 4367 7.51/2.00 % ...aggressively subsumed : 0 7.51/2.00 % Contextual simplify-reflections : 16 7.51/2.00 % Paramodulations : 8654 7.51/2.00 % Factorizations : 463 7.51/2.00 % NegExts : 115 7.51/2.00 % Equation resolutions : 1592 7.51/2.00 % Disequality decompositions : 0 7.51/2.00 % Total rewrite steps : 2938 7.51/2.00 % ...of those cached : 2937 7.51/2.00 % Propositional unsat checks : 0 7.51/2.00 % Propositional check models : 0 7.51/2.00 % Propositional check unsatisfiable : 0 7.51/2.00 % Propositional clauses : 0 7.51/2.00 % Propositional clauses after purity: 0 7.51/2.00 % Propositional unsat core size : 0 7.51/2.00 % Propositional preprocessing time : 0.000 7.51/2.00 % Propositional encoding time : 0.000 7.51/2.00 % Propositional solver time : 0.000 7.51/2.00 % Success case prop preproc time : 0.000 7.51/2.00 % Success case prop encoding time : 0.000 7.51/2.00 % Success case prop solver time : 0.000 7.51/2.00 % Current number of processed clauses : 156 7.51/2.00 % Positive orientable unit clauses : 2 7.51/2.00 % Positive unorientable unit clauses: 0 7.51/2.00 % Negative unit clauses : 1 7.51/2.00 % Non-unit-clauses : 153 7.51/2.00 % Current number of unprocessed clauses: 3601 7.51/2.00 % ...number of literals in the above : 30557 7.51/2.00 % Current number of archived formulas : 0 7.51/2.00 % Current number of archived clauses : 398 7.51/2.00 % Clause-clause subsumption calls (NU) : 13278 7.51/2.00 % Rec. Clause-clause subsumption calls : 1267 7.51/2.00 % Non-unit clause-clause subsumptions : 285 7.51/2.00 % Unit Clause-clause subsumption calls : 7 7.51/2.00 % Rewrite failures with RHS unbound : 0 7.51/2.00 % BW rewrite match attempts : 1 7.51/2.00 % BW rewrite match successes : 1 7.51/2.00 % Condensation attempts : 0 7.51/2.00 % Condensation successes : 0 7.51/2.00 % Termbank termtop insertions : 461329 7.51/2.00 % Search garbage collected termcells : 423 7.51/2.00 7.51/2.00 % ------------------------------------------------- 7.51/2.00 % User time : 1.154 s 7.51/2.00 % System time : 0.050 s 7.51/2.00 % Total time : 1.204 s 7.51/2.00 % Maximum resident set size: 3644 pages 7.51/2.00 7.51/2.00 % ------------------------------------------------- 7.51/2.00 % User time : 1.156 s 7.51/2.00 % System time : 0.057 s 7.51/2.00 % Total time : 1.213 s 7.51/2.00 % Maximum resident set size: 4864 pages 7.51/2.00 % E exiting 7.51/2.01 EOF