0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n009.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 11:20:28 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.40 Running higher-order theorem proving 0.14/0.42 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.18JIpIcBYS/E---3.1_1062729.p 37.71/5.93 % Version: 3.5.1-ho 37.71/5.93 % Preprocessing class: HSSSSMSSSSSNHHA. 37.71/5.93 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 37.71/5.93 % Starting sh2lt with 720s (4) cores 37.71/5.93 % Starting new_ho_10_unif with 180s (1) cores 37.71/5.93 % Starting full_lambda_6 with 180s (1) cores 37.71/5.93 % Starting post_as_ho1 with 180s (1) cores 37.71/5.93 % Starting ehoh_best3_rw with 180s (1) cores 37.71/5.93 % sh2lt with pid 1062742 completed with status 0 37.71/5.93 % Result found by sh2lt 37.71/5.93 % Preprocessing class: HSSSSMSSSSSNHHA. 37.71/5.93 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 37.71/5.93 % Starting sh2lt with 720s (4) cores 37.71/5.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 37.71/5.93 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 37.71/5.93 % Search class: HGHNF-FFSF22-SHHFFSBN 37.71/5.93 % Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 37.71/5.93 % Starting SubtermCWHack with 73s (1) cores 37.71/5.93 % Starting new_ho_10_unif with 240s (1) cores 37.71/5.93 % Starting lpo8_s with 121s (1) cores 37.71/5.93 % Starting sh5l with 121s (1) cores 37.71/5.93 % new_ho_10_unif with pid 1062748 completed with status 0 37.71/5.93 % Result found by new_ho_10_unif 37.71/5.93 % Preprocessing class: HSSSSMSSSSSNHHA. 37.71/5.93 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 37.71/5.93 % Starting sh2lt with 720s (4) cores 37.71/5.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 37.71/5.93 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 37.71/5.93 % Search class: HGHNF-FFSF22-SHHFFSBN 37.71/5.93 % Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 37.71/5.93 % Starting SubtermCWHack with 73s (1) cores 37.71/5.93 % Starting new_ho_10_unif with 240s (1) cores 37.71/5.93 % Preprocessing time : 0.001 s 37.71/5.93 % Presaturation interreduction done 37.71/5.93 37.71/5.93 % Proof found! 37.71/5.93 % SZS status Theorem 37.71/5.93 % SZS output start CNFRefutation 37.71/5.93 thf(decl_sort1, type, a: $tType). 37.71/5.93 thf(decl_23, type, epred1_0: a > a > $o). 37.71/5.93 thf(decl_24, type, esk1_0: (a > $o) > a). 37.71/5.93 thf(decl_25, type, esk2_2: (a > $o) > a > a). 37.71/5.93 thf(decl_26, type, esk3_0: a > a). 37.71/5.93 thf(cTHM145_C_pme, conjecture, ![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((![X4:a, X5:a]:(((X1 @ (X3 @ X4) @ (X3 @ X5))<=(X1 @ X4 @ X5)))=>?[X6:a]:(((X1 @ X6 @ (X3 @ X6))&(X1 @ (X3 @ X6) @ X6)))))<=(![X7:a > $o]:((![X8:a]:(((X7 @ X8)=>(X1 @ X8 @ (X2 @ X7))))&![X9:a]:((![X10:a]:((((X7 @ X10)&(X7 @ X10))=>(X1 @ X10 @ X9)))=>((X1 @ (X2 @ X7) @ X9)&(X1 @ (X2 @ X7) @ X9))))))&![X4:a, X5:a, X8:a]:(((X1 @ X4 @ X8)<=((X1 @ X5 @ X8)&(X1 @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.18JIpIcBYS/E---3.1_1062729.p', cTHM145_C_pme)). 37.71/5.93 thf(c_0_1, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:((![X3:a > a]:((![X4:a, X5:a]:(((X1 @ (X3 @ X4) @ (X3 @ X5))<=(X1 @ X4 @ X5)))=>?[X6:a]:(((X1 @ X6 @ (X3 @ X6))&(X1 @ (X3 @ X6) @ X6)))))<=(![X7:a > $o]:((![X8:a]:(((X7 @ X8)=>(X1 @ X8 @ (X2 @ X7))))&![X9:a]:((![X10:a]:((((X7 @ X10)&(X7 @ X10))=>(X1 @ X10 @ X9)))=>((X1 @ (X2 @ X7) @ X9)&(X1 @ (X2 @ X7) @ X9))))))&![X4:a, X5:a, X8:a]:(((X1 @ X4 @ X8)<=((X1 @ X5 @ X8)&(X1 @ X4 @ X5)))))))), inference(assume_negation,[status(cth)],[cTHM145_C_pme])). 37.71/5.93 thf(c_0_2, negated_conjecture, ~(![X1:a > a > $o, X2:(a > $o) > a]:(((![X7:a > $o]:((![X8:a]:(((X7 @ X8)=>(X1 @ X8 @ (X2 @ X7))))&![X9:a]:((![X10:a]:(((X7 @ X10)=>(X1 @ X10 @ X9)))=>(X1 @ (X2 @ X7) @ X9)))))&![X4:a, X5:a, X8:a]:((((X1 @ X5 @ X8)&(X1 @ X4 @ X5))=>(X1 @ X4 @ X8))))=>![X3:a > a]:((![X4:a, X5:a]:(((X1 @ X4 @ X5)=>(X1 @ (X3 @ X4) @ (X3 @ X5))))=>?[X6:a]:(((X1 @ X6 @ (X3 @ X6))&(X1 @ (X3 @ X6) @ X6)))))))), inference(fof_simplification,[status(thm)],[c_0_1])). 37.71/5.93 thf(c_0_3, negated_conjecture, ![X26:a > $o, X27:a, X28:a, X30:a, X31:a, X32:a, X34:a, X35:a, X36:a]:(((((~(X26 @ X27)|(epred1_0 @ X27 @ (esk1_0 @ X26)))&(((X26 @ (esk2_2 @ X26 @ X28))|(epred1_0 @ (esk1_0 @ X26) @ X28))&(~(epred1_0 @ (esk2_2 @ X26 @ X28) @ X28)|(epred1_0 @ (esk1_0 @ X26) @ X28))))&(~(epred1_0 @ X31 @ X32)|~(epred1_0 @ X30 @ X31)|(epred1_0 @ X30 @ X32)))&((~(epred1_0 @ X34 @ X35)|(epred1_0 @ (esk3_0 @ X34) @ (esk3_0 @ X35)))&(~(epred1_0 @ X36 @ (esk3_0 @ X36))|~(epred1_0 @ (esk3_0 @ X36) @ X36))))), 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])])])])])])). 37.71/5.93 thf(c_0_4, negated_conjecture, ![X6:a, X5:a, X4:a]:(((epred1_0 @ X6 @ X5)|~((epred1_0 @ X4 @ X5))|~((epred1_0 @ X6 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_5, negated_conjecture, ![X7:a > $o, X4:a]:(((X7 @ (esk2_2 @ X7 @ X4))|(epred1_0 @ (esk1_0 @ X7) @ X4))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_6, negated_conjecture, ![X3:a > a, X4:a, X13:a > a, X5:a]:(((epred1_0 @ (X3 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (X13 @ Z0)))) @ X4)) @ X5)|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (X13 @ Z0))))) @ X4)|~((epred1_0 @ (X13 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (X13 @ Z0)))) @ X4)) @ X5)))), inference(spm,[status(thm)],[c_0_4, c_0_5])). 37.71/5.93 thf(c_0_7, negated_conjecture, ![X4:a, X5:a]:(((epred1_0 @ (esk3_0 @ X4) @ (esk3_0 @ X5))|~((epred1_0 @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_8, negated_conjecture, ![X7:a > $o, X4:a]:(((epred1_0 @ X4 @ (esk1_0 @ X7))|~((X7 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_9, negated_conjecture, ![X3:a > a, X4:a, X13:a > a, X5:a]:(((epred1_0 @ (X3 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (esk3_0 @ (X13 @ Z0))))) @ X4)) @ (esk3_0 @ X5))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (esk3_0 @ (X13 @ Z0)))))) @ X4)|~((epred1_0 @ (X13 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ (X3 @ Z0) @ (esk3_0 @ (X13 @ Z0))))) @ X4)) @ X5)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 37.71/5.93 thf(c_0_10, negated_conjecture, ![X1:a > a > $o, X4:a]:(((epred1_0 @ (esk2_2 @ (^[Z0:a]:((X1 @ Z0 @ Z0))) @ X4) @ (esk1_0 @ (^[Z0:a]:((X1 @ Z0 @ Z0)))))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((X1 @ Z0 @ Z0)))) @ X4))), inference(spm,[status(thm)],[c_0_8, c_0_5])). 37.71/5.93 thf(c_0_11, negated_conjecture, ![X7:a > $o, X4:a]:(((epred1_0 @ (esk1_0 @ X7) @ X4)|~((epred1_0 @ (esk2_2 @ X7 @ X4) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_12, negated_conjecture, ![X4:a]:(((epred1_0 @ (esk2_2 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))) @ X4) @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))))|(epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))) @ X4))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 37.71/5.93 thf(c_0_13, negated_conjecture, ![X3:a > a, X4:a]:(((epred1_0 @ (esk3_0 @ X4) @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ (X3 @ Z0)))))))|~((epred1_0 @ X4 @ (X3 @ (esk3_0 @ X4)))))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 37.71/5.93 thf(c_0_14, negated_conjecture, (epred1_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))) @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0))))))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 37.71/5.93 thf(c_0_15, negated_conjecture, ![X4:a]:((~((epred1_0 @ X4 @ (esk3_0 @ X4)))|~((epred1_0 @ (esk3_0 @ X4) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 37.71/5.93 thf(c_0_16, negated_conjecture, (epred1_0 @ (esk3_0 @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))) @ (esk1_0 @ (^[Z0:a]:((epred1_0 @ Z0 @ (esk3_0 @ Z0)))))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 37.71/5.93 thf(c_0_17, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_14])]), ['proof']). 37.71/5.93 % SZS output end CNFRefutation 37.71/5.93 % Parsed axioms : 2 37.71/5.93 % Removed by relevancy pruning/SinE : 1 37.71/5.93 % Initial clauses : 6 37.71/5.93 % Removed in clause preprocessing : 0 37.71/5.93 % Initial clauses in saturation : 6 37.71/5.93 % Processed clauses : 878 37.71/5.93 % ...of these trivial : 170 37.71/5.93 % ...subsumed : 209 37.71/5.93 % ...remaining for further processing : 499 37.71/5.93 % Other redundant clauses eliminated : 0 37.71/5.93 % Clauses deleted for lack of memory : 0 37.71/5.93 % Backward-subsumed : 41 37.71/5.93 % Backward-rewritten : 58 37.71/5.93 % Generated clauses : 50845 37.71/5.93 % ...of the previous two non-redundant : 46357 37.71/5.93 % ...aggressively subsumed : 0 37.71/5.93 % Contextual simplify-reflections : 1 37.71/5.93 % Paramodulations : 50682 37.71/5.93 % Factorizations : 162 37.71/5.93 % NegExts : 0 37.71/5.93 % Equation resolutions : 1 37.71/5.93 % Disequality decompositions : 0 37.71/5.93 % Total rewrite steps : 4949 37.71/5.93 % ...of those cached : 4062 37.71/5.93 % Propositional unsat checks : 0 37.71/5.93 % Propositional check models : 0 37.71/5.93 % Propositional check unsatisfiable : 0 37.71/5.93 % Propositional clauses : 0 37.71/5.93 % Propositional clauses after purity: 0 37.71/5.93 % Propositional unsat core size : 0 37.71/5.93 % Propositional preprocessing time : 0.000 37.71/5.93 % Propositional encoding time : 0.000 37.71/5.93 % Propositional solver time : 0.000 37.71/5.93 % Success case prop preproc time : 0.000 37.71/5.93 % Success case prop encoding time : 0.000 37.71/5.93 % Success case prop solver time : 0.000 37.71/5.93 % Current number of processed clauses : 394 37.71/5.93 % Positive orientable unit clauses : 73 37.71/5.93 % Positive unorientable unit clauses: 0 37.71/5.93 % Negative unit clauses : 14 37.71/5.93 % Non-unit-clauses : 307 37.71/5.93 % Current number of unprocessed clauses: 45044 37.71/5.93 % ...number of literals in the above : 140874 37.71/5.93 % Current number of archived formulas : 0 37.71/5.93 % Current number of archived clauses : 105 37.71/5.93 % Clause-clause subsumption calls (NU) : 12683 37.71/5.93 % Rec. Clause-clause subsumption calls : 10842 37.71/5.93 % Non-unit clause-clause subsumptions : 239 37.71/5.93 % Unit Clause-clause subsumption calls : 2109 37.71/5.93 % Rewrite failures with RHS unbound : 0 37.71/5.93 % BW rewrite match attempts : 1969 37.71/5.93 % BW rewrite match successes : 62 37.71/5.93 % Condensation attempts : 878 37.71/5.93 % Condensation successes : 4 37.71/5.93 % Termbank termtop insertions : 11934726 37.71/5.93 % Search garbage collected termcells : 394 37.71/5.93 37.71/5.93 % ------------------------------------------------- 37.71/5.93 % User time : 5.189 s 37.71/5.93 % System time : 0.195 s 37.71/5.93 % Total time : 5.384 s 37.71/5.93 % Maximum resident set size: 3644 pages 37.71/5.93 37.71/5.93 % ------------------------------------------------- 37.71/5.93 % User time : 20.867 s 37.71/5.93 % System time : 0.613 s 37.71/5.93 % Total time : 21.480 s 37.71/5.93 % Maximum resident set size: 4864 pages 37.71/5.93 % E exiting 37.71/5.93 EOF