0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n007.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 05:39:19 EDT 2025 0.11/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.48 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.qZfRT5v5vy/E---3.1_20782.p 0.20/0.50 # Version: 3.0.0-ho 0.20/0.50 # Preprocessing class: HSSSSMSSSSSNHHA. 0.20/0.50 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting sh2lt with 960s (4) cores 0.20/0.50 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.50 # Starting full_lambda_6 with 240s (1) cores 0.20/0.50 # Starting post_as_ho1 with 240s (1) cores 0.20/0.50 # Starting ehoh_best3_rw with 240s (1) cores 0.20/0.50 # full_lambda_6 with pid 20900 completed with status 0 0.20/0.50 # Result found by full_lambda_6 0.20/0.50 # Preprocessing class: HSSSSMSSSSSNHHA. 0.20/0.50 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting sh2lt with 960s (4) cores 0.20/0.50 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.50 # Starting full_lambda_6 with 240s (1) cores 0.20/0.50 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.20/0.50 # Search class: HGUSF-FFSF11-DHHFFMBN 0.20/0.50 # partial match(1): HGUSF-FFSF11-SHHFFMBN 0.20/0.50 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.50 # Starting ho_unfolding_3 with 130s (1) cores 0.20/0.50 # ho_unfolding_3 with pid 20910 completed with status 0 0.20/0.50 # Result found by ho_unfolding_3 0.20/0.50 # Preprocessing class: HSSSSMSSSSSNHHA. 0.20/0.50 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting sh2lt with 960s (4) cores 0.20/0.50 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.50 # Starting full_lambda_6 with 240s (1) cores 0.20/0.50 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.20/0.50 # Search class: HGUSF-FFSF11-DHHFFMBN 0.20/0.50 # partial match(1): HGUSF-FFSF11-SHHFFMBN 0.20/0.50 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.50 # Starting ho_unfolding_3 with 130s (1) cores 0.20/0.50 # Preprocessing time : 0.001 s 0.20/0.50 # Presaturation interreduction done 0.20/0.50 0.20/0.50 # Proof found! 0.20/0.50 # SZS status Theorem 0.20/0.50 # SZS output start CNFRefutation 0.20/0.50 thf(decl_sort1, type, a: $tType). 0.20/0.50 thf(decl_23, type, epred1_0: (a > a > $o) > $o). 0.20/0.50 thf(decl_24, type, epred2_0: (a > a > $o) > $o). 0.20/0.50 thf(decl_25, type, esk1_0: a). 0.20/0.50 thf(decl_26, type, esk2_0: a). 0.20/0.50 thf(decl_27, type, esk3_1: (a > a > $o) > a). 0.20/0.50 thf(decl_28, type, esk4_1: (a > a > $o) > a). 0.20/0.50 thf(decl_29, type, epred3_1: (a > a > $o) > a > a > $o). 0.20/0.50 thf(decl_30, type, epred4_0: a > a > $o). 0.20/0.50 thf(decl_31, type, epred5_3: a > a > (a > a > $o) > a > a > $o). 0.20/0.50 thf(cTHM254_A_pme, conjecture, ![X1:(a > a > $o) > $o, X2:(a > a > $o) > $o, X3:a, X4:a]:((![X5:a > a > $o]:(((X5 @ X3 @ X4)<=(![X6:a, X7:a]:((?[X8:a > a > $o]:(((X8 @ X6 @ X7)&?[X9:a > a > $o]:((((X8)=(^[X10:a, X11:a]:(![X12:a > a > $o]:(((![X13:a, X14:a]:(((X12 @ X13 @ X14)<=(X9 @ X13 @ X14)))&(X1 @ X12))=>(X12 @ X10 @ X11))))))&(X2 @ X9)))))=>(X5 @ X6 @ X7)))&(X1 @ X5))))<=![X5:a > a > $o]:(((X5 @ X3 @ X4)<=((X1 @ X5)&![X6:a, X7:a]:(((X5 @ X6 @ X7)<=?[X8:a > a > $o]:(((X2 @ X8)&(X8 @ X6 @ X7)))))))))), file('/export/starexec/sandbox2/tmp/tmp.qZfRT5v5vy/E---3.1_20782.p', cTHM254_A_pme)). 0.20/0.50 thf(c_0_1, negated_conjecture, ~(![X1:(a > a > $o) > $o, X2:(a > a > $o) > $o, X3:a, X4:a]:((![X5:a > a > $o]:((((X1 @ X5)&![X6:a, X7:a]:((?[X8:a > a > $o]:(((X2 @ X8)&(X8 @ X6 @ X7)))=>(X5 @ X6 @ X7))))=>(X5 @ X3 @ X4)))=>![X5:a > a > $o]:(((![X6:a, X7:a]:((?[X8:a > a > $o]:(((X8 @ X6 @ X7)&?[X9:a > a > $o]:((((X8)=(^[Z0/* 19 */:a, Z1:a]:(![X12:a > a > $o]:(((![X13:a, X14:a]:((X12 @ X13 @ X14<=X9 @ X13 @ X14))&X1 @ X12)=>X12 @ Z0 @ Z1)))))&(X2 @ X9)))))=>(X5 @ X6 @ X7)))&(X1 @ X5))=>(X5 @ X3 @ X4)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM254_A_pme])])])). 0.20/0.50 thf(c_0_2, negated_conjecture, ![X32:a > a > $o, X37:a, X38:a, X39:a > a > $o, X40:a > a > $o]:((((((epred2_0 @ (epred3_1 @ X32))|~(epred1_0 @ X32)|(X32 @ esk1_0 @ esk2_0))&((epred3_1 @ X32 @ (esk3_1 @ X32) @ (esk4_1 @ X32))|~(epred1_0 @ X32)|(X32 @ esk1_0 @ esk2_0)))&(~(X32 @ (esk3_1 @ X32) @ (esk4_1 @ X32))|~(epred1_0 @ X32)|(X32 @ esk1_0 @ esk2_0)))&(((~(X39 @ X37 @ X38)|(((X39)!=(^[Z0/* 19 */:a, Z1:a]:(![X12:a > a > $o]:(((![X13:a, X14:a]:((X12 @ X13 @ X14<=X40 @ X13 @ X14))&epred1_0 @ X12)=>X12 @ Z0 @ Z1)))))|~(epred2_0 @ X40))|(epred4_0 @ X37 @ X38))&(epred1_0 @ epred4_0))&~(epred4_0 @ esk1_0 @ esk2_0)))), 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])])])])])])). 0.20/0.50 thf(c_0_3, negated_conjecture, ![X3:a, X4:a, X5:a > a > $o, X9:a > a > $o]:(((epred4_0 @ X3 @ X4)|~((X5 @ X3 @ X4))|((X5)!=(^[Z0/* 19 */:a, Z1:a]:(![X50:a > a > $o]:(((![X51:a, X52:a]:(((X50 @ X51 @ X52)<=(X9 @ X51 @ X52)))&(epred1_0 @ X50))=>(X50 @ Z0 @ Z1))))))|~((epred2_0 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_4, negated_conjecture, ![X3:a, X4:a, X5:a > a > $o]:(((epred4_0 @ X3 @ X4)|~(![X53:a > a > $o]:(((![X54:a, X55:a]:(((X53 @ X54 @ X55)<=(X5 @ X54 @ X55)))&(epred1_0 @ X53))=>(X53 @ X3 @ X4))))|~((epred2_0 @ X5)))), inference(er,[status(thm)],[c_0_3])). 0.20/0.50 thf(c_0_5, negated_conjecture, ![X5:a > a > $o]:(((epred3_1 @ X5 @ (esk3_1 @ X5) @ (esk4_1 @ X5))|(X5 @ esk1_0 @ esk2_0)|~((epred1_0 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_6, negated_conjecture, (epred1_0 @ epred4_0), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_7, negated_conjecture, ~((epred4_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_8, negated_conjecture, ![X5:a > a > $o]:(((epred2_0 @ (epred3_1 @ X5))|(X5 @ esk1_0 @ esk2_0)|~((epred1_0 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_9, negated_conjecture, ![X3:a, X4:a, X7:a, X6:a, X5:a > a > $o]:(((epred5_3 @ X3 @ X4 @ X5 @ X6 @ X7)|(epred4_0 @ X3 @ X4)|~((X5 @ X6 @ X7))|~((epred2_0 @ X5)))), inference(dynamic_cnf,[status(thm)],[c_0_4])). 0.20/0.50 thf(c_0_10, negated_conjecture, (epred3_1 @ epred4_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7])). 0.20/0.50 thf(c_0_11, negated_conjecture, (epred2_0 @ (epred3_1 @ epred4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_6]), c_0_7])). 0.20/0.50 thf(c_0_12, negated_conjecture, ![X5:a > a > $o]:(((X5 @ esk1_0 @ esk2_0)|~((X5 @ (esk3_1 @ X5) @ (esk4_1 @ X5)))|~((epred1_0 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_13, negated_conjecture, ![X3:a, X4:a]:(((epred5_3 @ X3 @ X4 @ (epred3_1 @ epred4_0) @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ X3 @ X4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])). 0.20/0.50 thf(c_0_14, negated_conjecture, ![X3:a, X4:a, X5:a > a > $o]:(((epred4_0 @ X3 @ X4)|~((epred5_3 @ X3 @ X4 @ X5 @ X3 @ X4))|~((epred2_0 @ X5)))), inference(dynamic_cnf,[status(thm)],[c_0_4])). 0.20/0.50 thf(c_0_15, negated_conjecture, (epred5_3 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0) @ (epred3_1 @ epred4_0) @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_6])]), c_0_7])). 0.20/0.50 thf(c_0_16, negated_conjecture, (epred4_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_11])])). 0.20/0.50 thf(c_0_17, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_16]), c_0_6])]), c_0_7]), ['proof']). 0.20/0.50 # SZS output end CNFRefutation 0.20/0.50 # Parsed axioms : 2 0.20/0.50 # Removed by relevancy pruning/SinE : 1 0.20/0.50 # Initial clauses : 6 0.20/0.50 # Removed in clause preprocessing : 0 0.20/0.50 # Initial clauses in saturation : 6 0.20/0.50 # Processed clauses : 43 0.20/0.50 # ...of these trivial : 0 0.20/0.50 # ...subsumed : 0 0.20/0.50 # ...remaining for further processing : 43 0.20/0.50 # Other redundant clauses eliminated : 1 0.20/0.50 # Clauses deleted for lack of memory : 0 0.20/0.50 # Backward-subsumed : 0 0.20/0.50 # Backward-rewritten : 0 0.20/0.50 # Generated clauses : 47 0.20/0.50 # ...of the previous two non-redundant : 44 0.20/0.50 # ...aggressively subsumed : 0 0.20/0.50 # Contextual simplify-reflections : 0 0.20/0.50 # Paramodulations : 27 0.20/0.50 # Factorizations : 0 0.20/0.50 # NegExts : 5 0.20/0.50 # Equation resolutions : 1 0.20/0.50 # Disequality decompositions : 0 0.20/0.50 # Total rewrite steps : 6 0.20/0.50 # ...of those cached : 4 0.20/0.50 # Propositional unsat checks : 0 0.20/0.50 # Propositional check models : 0 0.20/0.50 # Propositional check unsatisfiable : 0 0.20/0.50 # Propositional clauses : 0 0.20/0.50 # Propositional clauses after purity: 0 0.20/0.50 # Propositional unsat core size : 0 0.20/0.50 # Propositional preprocessing time : 0.000 0.20/0.50 # Propositional encoding time : 0.000 0.20/0.50 # Propositional solver time : 0.000 0.20/0.50 # Success case prop preproc time : 0.000 0.20/0.50 # Success case prop encoding time : 0.000 0.20/0.50 # Success case prop solver time : 0.000 0.20/0.50 # Current number of processed clauses : 30 0.20/0.50 # Positive orientable unit clauses : 6 0.20/0.50 # Positive unorientable unit clauses: 0 0.20/0.50 # Negative unit clauses : 1 0.20/0.50 # Non-unit-clauses : 23 0.20/0.50 # Current number of unprocessed clauses: 14 0.20/0.50 # ...number of literals in the above : 51 0.20/0.50 # Current number of archived formulas : 0 0.20/0.50 # Current number of archived clauses : 12 0.20/0.50 # Clause-clause subsumption calls (NU) : 37 0.20/0.50 # Rec. Clause-clause subsumption calls : 27 0.20/0.50 # Non-unit clause-clause subsumptions : 0 0.20/0.50 # Unit Clause-clause subsumption calls : 4 0.20/0.50 # Rewrite failures with RHS unbound : 0 0.20/0.50 # BW rewrite match attempts : 3 0.20/0.50 # BW rewrite match successes : 0 0.20/0.50 # Condensation attempts : 43 0.20/0.50 # Condensation successes : 0 0.20/0.50 # Termbank termtop insertions : 3018 0.20/0.50 # Search garbage collected termcells : 399 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.007 s 0.20/0.50 # System time : 0.003 s 0.20/0.50 # Total time : 0.010 s 0.20/0.50 # Maximum resident set size: 1900 pages 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.008 s 0.20/0.50 # System time : 0.005 s 0.20/0.50 # Total time : 0.013 s 0.20/0.50 # Maximum resident set size: 1736 pages 0.20/0.50 % E exiting 0.20/0.50 % E exiting 0.20/0.50 EOF