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 0.10/0.30 % Computer : n005.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1920 0.10/0.30 % WCLimit : 240 0.10/0.30 % DateTime : Wed Jul 30 02:03:49 EDT 2025 0.10/0.30 % CPUTime : 0.17/0.45 Running higher-order theorem proving 0.17/0.46 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.SZ3s5O68c0/E---3.1_18089.p 0.17/0.47 # Version: 3.0.0-ho 0.17/0.47 # Preprocessing class: HSSSSMSSSSSNSSA. 0.17/0.47 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting post_as_ho12 with 240s (1) cores 0.17/0.47 # Starting new_bool_9 with 240s (1) cores 0.17/0.47 # Starting post_as_ho1 with 240s (1) cores 0.17/0.47 # Starting post_as_ho4 with 240s (1) cores 0.17/0.47 # Starting post_as_ho2 with 240s (1) cores 0.17/0.47 # Starting ehoh_best2_full_lfho with 240s (1) cores 0.17/0.47 # Starting full_lambda_10 with 240s (1) cores 0.17/0.47 # Starting new_ho_8 with 240s (1) cores 0.17/0.47 # new_bool_9 with pid 18235 completed with status 0 0.17/0.47 # Result found by new_bool_9 0.17/0.47 # Preprocessing class: HSSSSMSSSSSNSSA. 0.17/0.47 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting post_as_ho12 with 240s (1) cores 0.17/0.47 # Starting new_bool_9 with 240s (1) cores 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.17/0.47 # Search class: HGUNF-FFSS32-MSSFFSBN 0.17/0.47 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.17/0.47 # Starting post_as_ho12 with 130s (1) cores 0.17/0.47 # post_as_ho12 with pid 18243 completed with status 0 0.17/0.47 # Result found by post_as_ho12 0.17/0.47 # Preprocessing class: HSSSSMSSSSSNSSA. 0.17/0.47 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting post_as_ho12 with 240s (1) cores 0.17/0.47 # Starting new_bool_9 with 240s (1) cores 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.17/0.47 # Search class: HGUNF-FFSS32-MSSFFSBN 0.17/0.47 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.17/0.47 # Starting post_as_ho12 with 130s (1) cores 0.17/0.47 # Preprocessing time : 0.001 s 0.17/0.47 # Presaturation interreduction done 0.17/0.47 0.17/0.47 # Proof found! 0.17/0.47 # SZS status Theorem 0.17/0.47 # SZS output start CNFRefutation 0.17/0.47 thf(decl_23, type, cHALF: $i > $i > $o). 0.17/0.47 thf(decl_24, type, cDOUBLE: $i > $i > $o). 0.17/0.47 thf(decl_25, type, cS: $i > $i). 0.17/0.47 thf(decl_26, type, c0: $i). 0.17/0.47 thf(decl_27, type, epred1_2: $i > $i > $i > $i > $o). 0.17/0.47 thf(decl_28, type, esk1_3: $i > $i > ($i > $i > $o) > $i). 0.17/0.47 thf(decl_29, type, esk2_3: $i > $i > ($i > $i > $o) > $i). 0.17/0.47 thf(decl_30, type, esk3_0: $i). 0.17/0.47 thf(decl_31, type, esk4_0: $i). 0.17/0.47 thf(cTHM301A, conjecture, (((((cHALF @ c0 @ c0)&![X1:$i, X2:$i]:(((cHALF @ (cS @ (cS @ X1)) @ (cS @ X2))<=(cHALF @ X1 @ X2))))&(cHALF @ (cS @ c0) @ c0))&![X3:$i, X4:$i]:((![X5:$i > $i > $o]:(((X5 @ X3 @ X4)<=((X5 @ c0 @ c0)&![X1:$i, X2:$i]:(((X5 @ (cS @ X1) @ (cS @ (cS @ X2)))<=(X5 @ X1 @ X2))))))<=>(cDOUBLE @ X3 @ X4))))=>![X3:$i, X4:$i]:(((cDOUBLE @ X3 @ X4)=>(cHALF @ X4 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.SZ3s5O68c0/E---3.1_18089.p', cTHM301A)). 0.17/0.47 thf(c_0_1, negated_conjecture, ~((((((cHALF @ c0 @ c0)&![X1:$i, X2:$i]:(((cHALF @ X1 @ X2)=>(cHALF @ (cS @ (cS @ X1)) @ (cS @ X2)))))&(cHALF @ (cS @ c0) @ c0))&![X3:$i, X4:$i]:((![X5:$i > $i > $o]:((((X5 @ c0 @ c0)&![X1:$i, X2:$i]:(((X5 @ X1 @ X2)=>(X5 @ (cS @ X1) @ (cS @ (cS @ X2))))))=>(X5 @ X3 @ X4)))<=>(cDOUBLE @ X3 @ X4))))=>![X3:$i, X4:$i]:(((cDOUBLE @ X3 @ X4)=>(cHALF @ X4 @ X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM301A])])). 0.17/0.47 thf(c_0_2, negated_conjecture, ![X15:$i, X16:$i, X17:$i, X18:$i, X20:$i, X21:$i, X22:$i, X23:$i, X24:$i > $i > $o]:((((((cHALF @ c0 @ c0)&(~(cHALF @ X15 @ X16)|(cHALF @ (cS @ (cS @ X15)) @ (cS @ X16))))&(cHALF @ (cS @ c0) @ c0))&(((((epred1_2 @ X17 @ X18 @ c0 @ c0)|(cDOUBLE @ X17 @ X18))&(~(epred1_2 @ X17 @ X18 @ X20 @ X21)|(epred1_2 @ X17 @ X18 @ (cS @ X20) @ (cS @ (cS @ X21)))|(cDOUBLE @ X17 @ X18)))&(~(epred1_2 @ X17 @ X18 @ X17 @ X18)|(cDOUBLE @ X17 @ X18)))&(((X24 @ (esk1_3 @ X22 @ X23 @ X24) @ (esk2_3 @ X22 @ X23 @ X24))|~(X24 @ c0 @ c0)|(X24 @ X22 @ X23)|~(cDOUBLE @ X22 @ X23))&(~(X24 @ (cS @ (esk1_3 @ X22 @ X23 @ X24)) @ (cS @ (cS @ (esk2_3 @ X22 @ X23 @ X24))))|~(X24 @ c0 @ c0)|(X24 @ X22 @ X23)|~(cDOUBLE @ X22 @ X23)))))&((cDOUBLE @ esk3_0 @ esk4_0)&~(cHALF @ esk4_0 @ esk3_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])])). 0.17/0.47 thf(c_0_3, negated_conjecture, ![X1:$i, X5:$i > $i > $o, X2:$i]:(((X5 @ X1 @ X2)|~((X5 @ (cS @ (esk1_3 @ X1 @ X2 @ X5)) @ (cS @ (cS @ (esk2_3 @ X1 @ X2 @ X5)))))|~((X5 @ c0 @ c0))|~((cDOUBLE @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_4, negated_conjecture, (cDOUBLE @ esk3_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_5, negated_conjecture, ![X1:$i, X5:$i > $i > $o, X2:$i]:(((X5 @ (esk1_3 @ X1 @ X2 @ X5) @ (esk2_3 @ X1 @ X2 @ X5))|(X5 @ X1 @ X2)|~((X5 @ c0 @ c0))|~((cDOUBLE @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_6, negated_conjecture, ![X5:$i > $i > $o]:(((X5 @ esk3_0 @ esk4_0)|~((X5 @ (cS @ (esk1_3 @ esk3_0 @ esk4_0 @ X5)) @ (cS @ (cS @ (esk2_3 @ esk3_0 @ esk4_0 @ X5)))))|~((X5 @ c0 @ c0)))), inference(spm,[status(thm)],[c_0_3, c_0_4])). 0.17/0.47 thf(c_0_7, negated_conjecture, ![X1:$i, X2:$i]:(((cHALF @ (cS @ (cS @ X1)) @ (cS @ X2))|~((cHALF @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_8, negated_conjecture, (cHALF @ c0 @ c0), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_9, negated_conjecture, ~((cHALF @ esk4_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.47 thf(c_0_10, negated_conjecture, ![X5:$i > $i > $o]:(((X5 @ (esk1_3 @ esk3_0 @ esk4_0 @ X5) @ (esk2_3 @ esk3_0 @ esk4_0 @ X5))|(X5 @ esk3_0 @ esk4_0)|~((X5 @ c0 @ c0)))), inference(spm,[status(thm)],[c_0_5, c_0_4])). 0.17/0.47 thf(c_0_11, negated_conjecture, ~((cHALF @ (esk2_3 @ esk3_0 @ esk4_0 @ (^[Z0/* 19 */:$i, Z1:$i]:((cHALF @ Z1 @ Z0)))) @ (esk1_3 @ esk3_0 @ esk4_0 @ (^[Z0/* 19 */:$i, Z1:$i]:((cHALF @ Z1 @ Z0)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])]), c_0_9])). 0.17/0.47 thf(c_0_12, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_8]), c_0_9]), c_0_11]), ['proof']). 0.17/0.47 # SZS output end CNFRefutation 0.17/0.47 # Parsed axioms : 5 0.17/0.47 # Removed by relevancy pruning/SinE : 4 0.17/0.47 # Initial clauses : 10 0.17/0.47 # Removed in clause preprocessing : 0 0.17/0.47 # Initial clauses in saturation : 10 0.17/0.47 # Processed clauses : 31 0.17/0.47 # ...of these trivial : 0 0.17/0.47 # ...subsumed : 0 0.17/0.47 # ...remaining for further processing : 30 0.17/0.47 # Other redundant clauses eliminated : 0 0.17/0.47 # Clauses deleted for lack of memory : 0 0.17/0.47 # Backward-subsumed : 0 0.17/0.47 # Backward-rewritten : 0 0.17/0.47 # Generated clauses : 55 0.17/0.47 # ...of the previous two non-redundant : 42 0.17/0.47 # ...aggressively subsumed : 0 0.17/0.47 # Contextual simplify-reflections : 0 0.17/0.47 # Paramodulations : 45 0.17/0.47 # Factorizations : 0 0.17/0.47 # NegExts : 0 0.17/0.47 # Equation resolutions : 4 0.17/0.47 # Disequality decompositions : 0 0.17/0.47 # Total rewrite steps : 6 0.17/0.47 # ...of those cached : 3 0.17/0.47 # Propositional unsat checks : 0 0.17/0.47 # Propositional check models : 0 0.17/0.47 # Propositional check unsatisfiable : 0 0.17/0.47 # Propositional clauses : 0 0.17/0.47 # Propositional clauses after purity: 0 0.17/0.47 # Propositional unsat core size : 0 0.17/0.47 # Propositional preprocessing time : 0.000 0.17/0.47 # Propositional encoding time : 0.000 0.17/0.47 # Propositional solver time : 0.000 0.17/0.47 # Success case prop preproc time : 0.000 0.17/0.47 # Success case prop encoding time : 0.000 0.17/0.47 # Success case prop solver time : 0.000 0.17/0.47 # Current number of processed clauses : 20 0.17/0.47 # Positive orientable unit clauses : 5 0.17/0.47 # Positive unorientable unit clauses: 0 0.17/0.47 # Negative unit clauses : 2 0.17/0.47 # Non-unit-clauses : 13 0.17/0.47 # Current number of unprocessed clauses: 31 0.17/0.47 # ...number of literals in the above : 82 0.17/0.47 # Current number of archived formulas : 0 0.17/0.47 # Current number of archived clauses : 10 0.17/0.47 # Clause-clause subsumption calls (NU) : 5 0.17/0.47 # Rec. Clause-clause subsumption calls : 5 0.17/0.47 # Non-unit clause-clause subsumptions : 0 0.17/0.47 # Unit Clause-clause subsumption calls : 1 0.17/0.47 # Rewrite failures with RHS unbound : 0 0.17/0.47 # BW rewrite match attempts : 0 0.17/0.48 # BW rewrite match successes : 0 0.17/0.48 # Condensation attempts : 0 0.17/0.48 # Condensation successes : 0 0.17/0.48 # Termbank termtop insertions : 10055 0.17/0.48 # Search garbage collected termcells : 375 0.17/0.48 0.17/0.48 # ------------------------------------------------- 0.17/0.48 # User time : 0.003 s 0.17/0.48 # System time : 0.003 s 0.17/0.48 # Total time : 0.006 s 0.17/0.48 # Maximum resident set size: 1904 pages 0.17/0.48 0.17/0.48 # ------------------------------------------------- 0.17/0.48 # User time : 0.004 s 0.17/0.48 # System time : 0.006 s 0.17/0.48 # Total time : 0.010 s 0.17/0.48 # Maximum resident set size: 1728 pages 0.17/0.48 % E exiting 0.17/0.48 % E exiting 0.17/0.48 EOF