0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.16/0.43 % Computer : n013.cluster.edu 0.16/0.43 % Model : x86_64 x86_64 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.43 % Memory : 8046.5625MB 0.16/0.43 % OS : Linux 6.8.0-71-generic 0.16/0.43 % CPULimit : 1440 0.16/0.43 % WCLimit : 180 0.16/0.43 % DateTime : Mon Jul 27 11:10:53 UTC 2026 0.16/0.44 % CPUTime : 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.21/0.50 Running higher-order theorem proving 0.21/0.52 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.raAwsnFobV/E---3.1_1357170.p 219.89/28.45 % Version: 3.5.1-ho 219.89/28.45 % Preprocessing class: HSMSSMSSSSSNHHA. 219.89/28.45 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 219.89/28.45 % Starting full_lambda_6 with 540s (3) cores 219.89/28.45 % Starting post_as_ho1 with 180s (1) cores 219.89/28.45 % Starting lpo6_lambda_fix with 180s (1) cores 219.89/28.45 % Starting ho_unfolding_1 with 180s (1) cores 219.89/28.45 % Starting new_ho_10_unif with 180s (1) cores 219.89/28.45 % Starting ho_unfolding_2 with 180s (1) cores 219.89/28.45 % new_ho_10_unif with pid 1357189 completed with status 0 219.89/28.45 % Result found by new_ho_10_unif 219.89/28.45 % Preprocessing class: HSMSSMSSSSSNHHA. 219.89/28.45 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 219.89/28.45 % Starting full_lambda_6 with 540s (3) cores 219.89/28.45 % Starting post_as_ho1 with 180s (1) cores 219.89/28.45 % Starting lpo6_lambda_fix with 180s (1) cores 219.89/28.45 % Starting ho_unfolding_1 with 180s (1) cores 219.89/28.45 % Starting new_ho_10_unif with 180s (1) cores 219.89/28.45 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 219.89/28.45 % No SInE strategy applied 219.89/28.45 % Search class: HGHNF-FFSF22-SHHFFSBN 219.89/28.45 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 219.89/28.45 % Starting SubtermCWHack with 19s (1) cores 219.89/28.45 % SubtermCWHack with pid 1357191 completed with status 8 219.89/28.45 % Starting new_ho_10_unif with 60s (1) cores 219.89/28.45 % new_ho_10_unif with pid 1357523 completed with status 0 219.89/28.45 % Result found by new_ho_10_unif 219.89/28.45 % Preprocessing class: HSMSSMSSSSSNHHA. 219.89/28.45 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 219.89/28.45 % Starting full_lambda_6 with 540s (3) cores 219.89/28.45 % Starting post_as_ho1 with 180s (1) cores 219.89/28.45 % Starting lpo6_lambda_fix with 180s (1) cores 219.89/28.45 % Starting ho_unfolding_1 with 180s (1) cores 219.89/28.45 % Starting new_ho_10_unif with 180s (1) cores 219.89/28.45 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 219.89/28.45 % No SInE strategy applied 219.89/28.45 % Search class: HGHNF-FFSF22-SHHFFSBN 219.89/28.45 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 219.89/28.45 % Starting SubtermCWHack with 19s (1) cores 219.89/28.45 % SubtermCWHack with pid 1357191 completed with status 8 219.89/28.45 % Starting new_ho_10_unif with 60s (1) cores 219.89/28.45 % Preprocessing time : 0.001 s 219.89/28.45 % Presaturation interreduction done 219.89/28.45 219.89/28.45 % Proof found! 219.89/28.45 % SZS status Theorem 219.89/28.45 % SZS output start CNFRefutation 219.89/28.45 thf(decl_sort1, type, a: $tType). 219.89/28.45 thf(decl_23, type, epred1_0: a > a > $o). 219.89/28.45 thf(decl_24, type, esk1_0: (a > $o) > a). 219.89/28.45 thf(decl_25, type, esk2_2: (a > $o) > a > a). 219.89/28.45 thf(decl_26, type, esk3_0: a > a). 219.89/28.45 thf(cT145_DOUBLE, conjecture, ![X1:a > a > $o, X2:(a > $o) > a]:((?[X3:a, X4:a, X5:a]:(((((X1 @ X3 @ X4)|(X1 @ X3 @ X4))&((X1 @ X4 @ X5)|(X1 @ X4 @ X5)))&(~((X1 @ X3 @ X5))|~((X1 @ X3 @ X5)))))|?[X6:a > $o]:((?[X7:a]:((![X8:a]:((~((X6 @ X8))|(X1 @ X8 @ X7)|(X1 @ X8 @ X7)|~((X6 @ X8))))&(~((X1 @ (X2 @ X6) @ X7))|~((X1 @ (X2 @ X6) @ X7)))))|?[X9:a]:((((X6 @ X9)|(X6 @ X9))&(~((X1 @ X9 @ (X2 @ X6)))|~((X1 @ X9 @ (X2 @ X6))))))))|![X10:a > a]:((?[X11:a]:((((X1 @ X11 @ (X10 @ X11))|(X1 @ X11 @ (X10 @ X11)))&((X1 @ (X10 @ X11) @ X11)|(X1 @ (X10 @ X11) @ X11))))|?[X12:a, X13:a]:((((X1 @ X12 @ X13)|(X1 @ X12 @ X13))&(~((X1 @ (X10 @ X12) @ (X10 @ X13)))|~((X1 @ (X10 @ X12) @ (X10 @ X13)))))))))), file('/export/starexec/sandbox/tmp/tmp.raAwsnFobV/E---3.1_1357170.p', cT145_DOUBLE)). 219.89/28.45 thf(c_0_1, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:((?[X3:a, X4:a, X5:a]:(((((X1 @ X3 @ X4)|(X1 @ X3 @ X4))&((X1 @ X4 @ X5)|(X1 @ X4 @ X5)))&(~((X1 @ X3 @ X5))|~((X1 @ X3 @ X5)))))|?[X6:a > $o]:((?[X7:a]:((![X8:a]:((~((X6 @ X8))|(X1 @ X8 @ X7)|(X1 @ X8 @ X7)|~((X6 @ X8))))&(~((X1 @ (X2 @ X6) @ X7))|~((X1 @ (X2 @ X6) @ X7)))))|?[X9:a]:((((X6 @ X9)|(X6 @ X9))&(~((X1 @ X9 @ (X2 @ X6)))|~((X1 @ X9 @ (X2 @ X6))))))))|![X10:a > a]:((?[X11:a]:((((X1 @ X11 @ (X10 @ X11))|(X1 @ X11 @ (X10 @ X11)))&((X1 @ (X10 @ X11) @ X11)|(X1 @ (X10 @ X11) @ X11))))|?[X12:a, X13:a]:((((X1 @ X12 @ X13)|(X1 @ X12 @ X13))&(~((X1 @ (X10 @ X12) @ (X10 @ X13)))|~((X1 @ (X10 @ X12) @ (X10 @ X13))))))))))), inference(assume_negation,[status(cth)],[cT145_DOUBLE])). 219.89/28.45 thf(c_0_2, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:((?[X3:a, X4:a, X5:a]:((((X1 @ X3 @ X4)&(X1 @ X4 @ X5))&~((X1 @ X3 @ X5))))|?[X6:a > $o]:((?[X7:a]:((![X8:a]:((~((X6 @ X8))|(X1 @ X8 @ X7)|(X1 @ X8 @ X7)|~((X6 @ X8))))&~((X1 @ (X2 @ X6) @ X7))))|?[X9:a]:(((X6 @ X9)&~((X1 @ X9 @ (X2 @ X6)))))))|![X10:a > a]:((?[X11:a]:(((X1 @ X11 @ (X10 @ X11))&(X1 @ (X10 @ X11) @ X11)))|?[X12:a, X13:a]:(((X1 @ X12 @ X13)&~((X1 @ (X10 @ X12) @ (X10 @ X13)))))))))), inference(fof_simplification,[status(thm)],[c_0_1])). 219.89/28.45 thf(c_0_3, negated_conjecture, ![X29:a, X30:a, X31:a, X32:a > $o, X33:a, X35:a, X37:a, X38:a, X39:a]:((((~(epred1_0 @ X29 @ X30)|~(epred1_0 @ X30 @ X31)|(epred1_0 @ X29 @ X31))&((((((X32 @ (esk2_2 @ X32 @ X33))|(epred1_0 @ (esk1_0 @ X32) @ X33))&(~(epred1_0 @ (esk2_2 @ X32 @ X33) @ X33)|(epred1_0 @ (esk1_0 @ X32) @ X33)))&(~(epred1_0 @ (esk2_2 @ X32 @ X33) @ X33)|(epred1_0 @ (esk1_0 @ X32) @ X33)))&((X32 @ (esk2_2 @ X32 @ X33))|(epred1_0 @ (esk1_0 @ X32) @ X33)))&(~(X32 @ X35)|(epred1_0 @ X35 @ (esk1_0 @ X32)))))&((~(epred1_0 @ X37 @ (esk3_0 @ X37))|~(epred1_0 @ (esk3_0 @ X37) @ X37))&(~(epred1_0 @ X38 @ X39)|(epred1_0 @ (esk3_0 @ X38) @ (esk3_0 @ 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_2])])])])])])). 219.89/28.45 thf(c_0_4, negated_conjecture, ![X3:a, X4:a, X5:a]:(((epred1_0 @ X3 @ X5)|~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_5, negated_conjecture, ![X3:a, X4:a]:(((epred1_0 @ (esk3_0 @ X3) @ (esk3_0 @ X4))|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_6, negated_conjecture, ![X3:a, X5:a, X4:a]:(((epred1_0 @ X3 @ (esk3_0 @ X4))|~((epred1_0 @ X3 @ (esk3_0 @ X5)))|~((epred1_0 @ X5 @ X4)))), inference(spm,[status(thm)],[c_0_4, c_0_5])). 219.89/28.45 thf(c_0_7, negated_conjecture, ![X6:a > $o, X3:a]:(((X6 @ (esk2_2 @ X6 @ X3))|(epred1_0 @ (esk1_0 @ X6) @ X3))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_8, negated_conjecture, ![X6:a > $o, X3:a]:(((epred1_0 @ X3 @ (esk1_0 @ X6))|~((X6 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_9, negated_conjecture, ![X3:a, X23:a > a, X10:a > a, X4:a]:(((epred1_0 @ (X10 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X10 @ Z0) @ (esk3_0 @ (X23 @ Z0))))) @ X3)) @ (esk3_0 @ X4))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ (X10 @ Z0) @ (esk3_0 @ (X23 @ Z0)))))) @ X3)|~((epred1_0 @ (X23 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X10 @ Z0) @ (esk3_0 @ (X23 @ Z0))))) @ X3)) @ X4)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 219.89/28.45 thf(c_0_10, negated_conjecture, ![X1:a > a > $o, X3:a]:(((epred1_0 @ (esk2_2 @ (^[Z0:a]:((X1 @ Z0 @ Z0))) @ X3) @ (esk1_0 @ (^[Z0:a]:((X1 @ Z0 @ Z0)))))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((X1 @ Z0 @ Z0)))) @ X3))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 219.89/28.45 thf(c_0_11, negated_conjecture, ![X6:a > $o, X3:a]:(((epred1_0 @ (esk1_0 @ X6) @ X3)|~((epred1_0 @ (esk2_2 @ X6 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_12, negated_conjecture, ![X3:a]:(((epred1_0 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))) @ X3) @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))) @ X3))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 219.89/28.45 thf(c_0_13, negated_conjecture, ![X10:a > a, X3:a]:(((epred1_0 @ (esk3_0 @ X3) @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ (X10 @ Z0)))))))|~((epred1_0 @ X3 @ (X10 @ (esk3_0 @ X3)))))), inference(spm,[status(thm)],[c_0_8, c_0_5])). 219.89/28.45 thf(c_0_14, negated_conjecture, (epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))) @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 219.89/28.45 thf(c_0_15, negated_conjecture, ![X3:a]:((~((epred1_0 @ X3 @ (esk3_0 @ X3)))|~((epred1_0 @ (esk3_0 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 219.89/28.45 thf(c_0_16, negated_conjecture, (epred1_0 @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))) @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 219.89/28.45 thf(c_0_17, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_14])]), ['proof']). 219.89/28.45 % SZS output end CNFRefutation 219.89/28.45 % Parsed axioms : 2 219.89/28.45 % Removed by relevancy pruning/SinE : 0 219.89/28.45 % Initial clauses : 9 219.89/28.45 % Removed in clause preprocessing : 1 219.89/28.45 % Initial clauses in saturation : 8 219.89/28.45 % Processed clauses : 769 219.89/28.45 % ...of these trivial : 117 219.89/28.45 % ...subsumed : 237 219.89/28.45 % ...remaining for further processing : 415 219.89/28.45 % Other redundant clauses eliminated : 0 219.89/28.45 % Clauses deleted for lack of memory : 0 219.89/28.45 % Backward-subsumed : 28 219.89/28.45 % Backward-rewritten : 38 219.89/28.45 % Generated clauses : 39263 219.89/28.45 % ...of the previous two non-redundant : 33754 219.89/28.45 % ...aggressively subsumed : 0 219.89/28.45 % Contextual simplify-reflections : 0 219.89/28.45 % Paramodulations : 39101 219.89/28.45 % Factorizations : 161 219.89/28.45 % NegExts : 0 219.89/28.45 % Equation resolutions : 1 219.89/28.45 % Disequality decompositions : 0 219.89/28.45 % Total rewrite steps : 5875 219.89/28.45 % ...of those cached : 5126 219.89/28.45 % Propositional unsat checks : 0 219.89/28.45 % Propositional check models : 0 219.89/28.45 % Propositional check unsatisfiable : 0 219.89/28.45 % Propositional clauses : 0 219.89/28.45 % Propositional clauses after purity: 0 219.89/28.45 % Propositional unsat core size : 0 219.89/28.45 % Propositional preprocessing time : 0.000 219.89/28.45 % Propositional encoding time : 0.000 219.89/28.45 % Propositional solver time : 0.000 219.89/28.45 % Success case prop preproc time : 0.000 219.89/28.45 % Success case prop encoding time : 0.000 219.89/28.45 % Success case prop solver time : 0.000 219.89/28.45 % Current number of processed clauses : 343 219.89/28.45 % Positive orientable unit clauses : 82 219.89/28.45 % Positive unorientable unit clauses: 0 219.89/28.45 % Negative unit clauses : 14 219.89/28.45 % Non-unit-clauses : 247 219.89/28.45 % Current number of unprocessed clauses: 32563 219.89/28.45 % ...number of literals in the above : 100550 219.89/28.45 % Current number of archived formulas : 0 219.89/28.45 % Current number of archived clauses : 72 219.89/28.45 % Clause-clause subsumption calls (NU) : 10460 219.89/28.45 % Rec. Clause-clause subsumption calls : 8879 219.89/28.45 % Non-unit clause-clause subsumptions : 260 219.89/28.45 % Unit Clause-clause subsumption calls : 2295 219.89/28.45 % Rewrite failures with RHS unbound : 0 219.89/28.45 % BW rewrite match attempts : 1698 219.89/28.45 % BW rewrite match successes : 47 219.89/28.45 % Condensation attempts : 769 219.89/28.45 % Condensation successes : 9 219.89/28.45 % Termbank termtop insertions : 10153453 219.89/28.45 % Search garbage collected termcells : 356 219.89/28.45 219.89/28.45 % ------------------------------------------------- 219.89/28.45 % User time : 26.121 s 219.89/28.45 % System time : 0.761 s 219.89/28.45 % Total time : 26.882 s 219.89/28.45 % Maximum resident set size: 3644 pages 219.89/28.45 219.89/28.45 % ------------------------------------------------- 219.89/28.45 % User time : 26.125 s 219.89/28.45 % System time : 0.769 s 219.89/28.45 % Total time : 26.894 s 219.89/28.45 % Maximum resident set size: 4864 pages 219.89/28.45 % E exiting 219.89/28.46 EOF