0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.34 % Computer : n024.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 02:00:19 EDT 2025 0.12/0.34 % CPUTime : 0.20/0.49 Running higher-order theorem proving 0.20/0.50 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=240 /export/starexec/sandbox/tmp/tmp.KnFlKXywg6/E---3.1_9981.p 0.20/0.51 # Version: 3.0.0-ho 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNFFN. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # Starting ho_unfolding_6 with 240s (1) cores 0.20/0.51 # Starting sh4l with 240s (1) cores 0.20/0.51 # Starting ehoh_best_nonlift_rwall with 240s (1) cores 0.20/0.51 # new_ho_10 with pid 10059 completed with status 0 0.20/0.51 # Result found by new_ho_10 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNFFN. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # No SInE strategy applied 0.20/0.51 # Search class: HGUNF-FFSF00-SFFFFFNN 0.20/0.51 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.20/0.51 # Starting new_ho_10 with 721s (1) cores 0.20/0.51 # Starting sh5l with 121s (1) cores 0.20/0.51 # Starting new_bool_1 with 121s (1) cores 0.20/0.51 # Starting new_bool_2 with 121s (1) cores 0.20/0.51 # Starting new_bool_9 with 116s (1) cores 0.20/0.51 # new_bool_1 with pid 10068 completed with status 0 0.20/0.51 # Result found by new_bool_1 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNFFN. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # No SInE strategy applied 0.20/0.51 # Search class: HGUNF-FFSF00-SFFFFFNN 0.20/0.51 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.20/0.51 # Starting new_ho_10 with 721s (1) cores 0.20/0.51 # Starting sh5l with 121s (1) cores 0.20/0.51 # Starting new_bool_1 with 121s (1) cores 0.20/0.51 # Preprocessing time : 0.001 s 0.20/0.51 # Presaturation interreduction done 0.20/0.51 0.20/0.51 # Proof found! 0.20/0.51 # SZS status Theorem 0.20/0.51 # SZS output start CNFRefutation 0.20/0.51 thf(decl_23, type, cQ: $i > $i > $o). 0.20/0.51 thf(decl_24, type, cP: $i > $i > $o). 0.20/0.51 thf(decl_25, type, epred1_0: $o). 0.20/0.51 thf(decl_26, type, esk1_0: $i). 0.20/0.51 thf(decl_27, type, esk2_0: $i). 0.20/0.51 thf(decl_28, type, esk3_0: $i). 0.20/0.51 thf(decl_29, type, esk4_0: $i). 0.20/0.51 thf(cCADE13_pme, conjecture, ((![X1:$i, X2:$i]:((cQ @ X1 @ X2))|![X1:$i, X2:$i]:((cP @ X1 @ X2)))<=(((![X1:$i, X2:$i, X3:$i]:((((cP @ X1 @ X2)&(cP @ X2 @ X3))=>(cP @ X1 @ X3)))&![X1:$i, X2:$i, X3:$i]:((((cQ @ X1 @ X2)&(cQ @ X2 @ X3))=>(cQ @ X1 @ X3))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)=>(cQ @ X2 @ X1))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)|(cP @ X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.KnFlKXywg6/E---3.1_9981.p', cCADE13_pme)). 0.20/0.51 thf(c_0_1, plain, ((epred1_0)<=>(((![X1:$i, X2:$i, X3:$i]:((((cP @ X1 @ X2)&(cP @ X2 @ X3))=>(cP @ X1 @ X3)))&![X1:$i, X2:$i, X3:$i]:((((cQ @ X1 @ X2)&(cQ @ X2 @ X3))=>(cQ @ X1 @ X3))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)=>(cQ @ X2 @ X1))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)|(cP @ X1 @ X2))))), introduced(definition)). 0.20/0.51 thf(c_0_2, plain, ((epred1_0)=>(((![X1:$i, X2:$i, X3:$i]:((((cP @ X1 @ X2)&(cP @ X2 @ X3))=>(cP @ X1 @ X3)))&![X1:$i, X2:$i, X3:$i]:((((cQ @ X1 @ X2)&(cQ @ X2 @ X3))=>(cQ @ X1 @ X3))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)=>(cQ @ X2 @ X1))))&![X1:$i, X2:$i]:(((cQ @ X1 @ X2)|(cP @ X1 @ X2))))), inference(split_equiv,[status(thm)],[c_0_1])). 0.20/0.51 thf(c_0_3, negated_conjecture, ~(((epred1_0)=>(![X1:$i, X2:$i]:((cQ @ X1 @ X2))|![X1:$i, X2:$i]:((cP @ X1 @ X2))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cCADE13_pme])]), c_0_1])). 0.20/0.51 thf(c_0_4, plain, ![X22:$i, X23:$i, X24:$i, X25:$i, X26:$i, X27:$i, X28:$i, X29:$i, X30:$i, X31:$i]:(((((~(cP @ X22 @ X23)|~(cP @ X23 @ X24)|(cP @ X22 @ X24)|~(epred1_0))&(~(cQ @ X25 @ X26)|~(cQ @ X26 @ X27)|(cQ @ X25 @ X27)|~(epred1_0)))&(~(cQ @ X28 @ X29)|(cQ @ X29 @ X28)|~(epred1_0)))&((cQ @ X30 @ X31)|(cP @ X30 @ X31)|~(epred1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])). 0.20/0.51 thf(c_0_5, negated_conjecture, ((epred1_0)&(~(cQ @ esk1_0 @ esk2_0)&~(cP @ esk3_0 @ esk4_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])). 0.20/0.51 thf(c_0_6, plain, ![X1:$i, X2:$i, X3:$i]:(((cP @ X1 @ X3)|~((cP @ X1 @ X2))|~((cP @ X2 @ X3))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.20/0.51 thf(c_0_7, negated_conjecture, (epred1_0), inference(split_conjunct,[status(thm)],[c_0_5])). 0.20/0.51 thf(c_0_8, plain, ![X1:$i, X2:$i]:(((cQ @ X1 @ X2)|(cP @ X1 @ X2)|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.20/0.51 thf(c_0_9, plain, ![X1:$i, X2:$i, X3:$i]:(((cP @ X1 @ X2)|~((cP @ X3 @ X2))|~((cP @ X1 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])). 0.20/0.51 thf(c_0_10, plain, ![X1:$i, X2:$i]:(((cP @ X1 @ X2)|(cQ @ X1 @ X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_7])])). 0.20/0.51 thf(c_0_11, plain, ![X1:$i, X2:$i]:(((cQ @ X2 @ X1)|~((cQ @ X1 @ X2))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.20/0.51 thf(c_0_12, negated_conjecture, ~((cP @ esk3_0 @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.20/0.51 thf(c_0_13, plain, ![X3:$i, X2:$i, X1:$i]:(((cQ @ X1 @ X2)|(cP @ X3 @ X2)|~((cP @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 0.20/0.51 thf(c_0_14, plain, ![X1:$i, X2:$i, X3:$i]:(((cQ @ X1 @ X3)|~((cQ @ X1 @ X2))|~((cQ @ X2 @ X3))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.20/0.51 thf(c_0_15, plain, ![X2:$i, X1:$i]:(((cQ @ X1 @ X2)|~((cQ @ X2 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_7])])). 0.20/0.51 thf(c_0_16, negated_conjecture, (cQ @ esk3_0 @ esk4_0), inference(spm,[status(thm)],[c_0_12, c_0_10])). 0.20/0.51 thf(c_0_17, plain, ![X1:$i, X2:$i, X3:$i]:(((cQ @ X1 @ X2)|(cP @ X1 @ X3)|(cQ @ X2 @ X3))), inference(spm,[status(thm)],[c_0_13, c_0_10])). 0.20/0.51 thf(c_0_18, plain, ![X1:$i, X2:$i, X3:$i]:(((cQ @ X1 @ X2)|~((cQ @ X3 @ X2))|~((cQ @ X1 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_7])])). 0.20/0.51 thf(c_0_19, plain, (cQ @ esk4_0 @ esk3_0), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.20/0.51 thf(c_0_20, negated_conjecture, ![X1:$i]:(((cQ @ X1 @ esk4_0)|(cQ @ esk3_0 @ X1))), inference(spm,[status(thm)],[c_0_12, c_0_17])). 0.20/0.51 thf(c_0_21, plain, ![X1:$i]:(((cQ @ X1 @ esk3_0)|~((cQ @ X1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.20/0.51 thf(c_0_22, plain, ![X1:$i]:((cQ @ X1 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_20]), c_0_21])). 0.20/0.51 thf(c_0_23, plain, ![X1:$i]:((cQ @ esk3_0 @ X1)), inference(spm,[status(thm)],[c_0_15, c_0_22])). 0.20/0.51 thf(c_0_24, negated_conjecture, ~((cQ @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.20/0.51 thf(c_0_25, plain, ![X1:$i, X2:$i]:((cQ @ X1 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_23]), c_0_22])])). 0.20/0.51 thf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), ['proof']). 0.20/0.51 # SZS output end CNFRefutation 0.20/0.51 # Parsed axioms : 3 0.20/0.51 # Removed by relevancy pruning/SinE : 0 0.20/0.51 # Initial clauses : 9 0.20/0.51 # Removed in clause preprocessing : 2 0.20/0.51 # Initial clauses in saturation : 7 0.20/0.51 # Processed clauses : 29 0.20/0.51 # ...of these trivial : 0 0.20/0.51 # ...subsumed : 0 0.20/0.51 # ...remaining for further processing : 29 0.20/0.51 # Other redundant clauses eliminated : 0 0.20/0.51 # Clauses deleted for lack of memory : 0 0.20/0.51 # Backward-subsumed : 3 0.20/0.51 # Backward-rewritten : 15 0.20/0.51 # Generated clauses : 46 0.20/0.51 # ...of the previous two non-redundant : 35 0.20/0.51 # ...aggressively subsumed : 0 0.20/0.51 # Contextual simplify-reflections : 1 0.20/0.51 # Paramodulations : 44 0.20/0.51 # Factorizations : 2 0.20/0.51 # NegExts : 0 0.20/0.51 # Equation resolutions : 0 0.20/0.51 # Disequality decompositions : 0 0.20/0.51 # Total rewrite steps : 33 0.20/0.51 # ...of those cached : 10 0.20/0.51 # Propositional unsat checks : 0 0.20/0.51 # Propositional check models : 0 0.20/0.51 # Propositional check unsatisfiable : 0 0.20/0.51 # Propositional clauses : 0 0.20/0.51 # Propositional clauses after purity: 0 0.20/0.51 # Propositional unsat core size : 0 0.20/0.51 # Propositional preprocessing time : 0.000 0.20/0.51 # Propositional encoding time : 0.000 0.20/0.51 # Propositional solver time : 0.000 0.20/0.51 # Success case prop preproc time : 0.000 0.20/0.51 # Success case prop encoding time : 0.000 0.20/0.51 # Success case prop solver time : 0.000 0.20/0.51 # Current number of processed clauses : 4 0.20/0.51 # Positive orientable unit clauses : 2 0.20/0.51 # Positive unorientable unit clauses: 0 0.20/0.51 # Negative unit clauses : 1 0.20/0.51 # Non-unit-clauses : 1 0.20/0.51 # Current number of unprocessed clauses: 18 0.20/0.51 # ...number of literals in the above : 56 0.20/0.51 # Current number of archived formulas : 0 0.20/0.51 # Current number of archived clauses : 25 0.20/0.51 # Clause-clause subsumption calls (NU) : 30 0.20/0.51 # Rec. Clause-clause subsumption calls : 29 0.20/0.51 # Non-unit clause-clause subsumptions : 1 0.20/0.51 # Unit Clause-clause subsumption calls : 37 0.20/0.51 # Rewrite failures with RHS unbound : 0 0.20/0.51 # BW rewrite match attempts : 16 0.20/0.51 # BW rewrite match successes : 16 0.20/0.51 # Condensation attempts : 0 0.20/0.51 # Condensation successes : 0 0.20/0.51 # Termbank termtop insertions : 1845 0.20/0.51 # Search garbage collected termcells : 193 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.005 s 0.20/0.51 # System time : 0.003 s 0.20/0.51 # Total time : 0.008 s 0.20/0.51 # Maximum resident set size: 1832 pages 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.017 s 0.20/0.51 # System time : 0.008 s 0.20/0.51 # Total time : 0.025 s 0.20/0.51 # Maximum resident set size: 1708 pages 0.20/0.51 % E exiting 0.20/0.51 % E exiting 0.20/0.51 EOF