0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n028.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 02:20:49 EDT 2025 0.13/0.34 % CPUTime : 0.20/0.49 Running higher-order theorem proving 0.20/0.49 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.Vi83meUa9l/E---3.1_23515.p 0.20/0.51 # Version: 3.0.0-ho 0.20/0.51 # Preprocessing class: HSSSSMSSSSMCHHA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting ho_unfolding_3 with 1200s (5) cores 0.20/0.51 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.51 # Starting new_bool_3 with 240s (1) cores 0.20/0.51 # Starting new_bool_1 with 240s (1) cores 0.20/0.51 # new_bool_3 with pid 23604 completed with status 0 0.20/0.51 # Result found by new_bool_3 0.20/0.51 # Preprocessing class: HSSSSMSSSSMCHHA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting ho_unfolding_3 with 1200s (5) cores 0.20/0.51 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.51 # Starting new_bool_3 with 240s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.51 # Search class: HHUNF-FFSS00-SHHFFSBC 0.20/0.51 # partial match(3): HGUNF-FFSF00-SHHFFSBN 0.20/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.51 # Starting ho_unfolding_3 with 108s (1) cores 0.20/0.51 # ho_unfolding_3 with pid 23607 completed with status 0 0.20/0.51 # Result found by ho_unfolding_3 0.20/0.51 # Preprocessing class: HSSSSMSSSSMCHHA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting ho_unfolding_3 with 1200s (5) cores 0.20/0.51 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.51 # Starting new_bool_3 with 240s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.51 # Search class: HHUNF-FFSS00-SHHFFSBC 0.20/0.51 # partial match(3): HGUNF-FFSF00-SHHFFSBN 0.20/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.51 # Starting ho_unfolding_3 with 108s (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, epso: ($o > $o) > $o). 0.20/0.51 thf(decl_24, type, epsoo: (($o > $o) > $o) > $o > $o). 0.20/0.51 thf(decl_25, type, q: ($o > $o) > $o). 0.20/0.51 thf(decl_26, type, esk1_0: $o). 0.20/0.51 thf(decl_27, type, esk2_0: $o). 0.20/0.51 thf(decl_28, type, esk3_0: $o). 0.20/0.51 thf(c, conjecture, (q @ (epsoo @ epso)), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', c)). 0.20/0.51 thf(qkf, axiom, (q @ (^[X2:$o]:(~($true)))), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', qkf)). 0.20/0.51 thf(qkt, axiom, (q @ (^[X2:$o]:(($true)))), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', qkt)). 0.20/0.51 thf(qid, axiom, (q @ (^[X2:$o]:((X2)))), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', qid)). 0.20/0.51 thf(choiceaxo, axiom, ![X1:$o > $o]:(((X1 @ ((epso @ X1)))<=?[X2:$o]:((X1 @ ((X2)))))), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', choiceaxo)). 0.20/0.51 thf(choiceaxoo, axiom, ![X3:($o > $o) > $o]:((?[X4:$o > $o]:((X3 @ X4))=>(X3 @ (epsoo @ X3)))), file('/export/starexec/sandbox/tmp/tmp.Vi83meUa9l/E---3.1_23515.p', choiceaxoo)). 0.20/0.51 thf(c_0_6, negated_conjecture, ~(q @ (epsoo @ epso)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c])])). 0.20/0.51 thf(c_0_7, plain, (q @ (^[Z0/* 7 */:$o]:(~($true)))), inference(fof_simplification,[status(thm)],[qkf])). 0.20/0.51 thf(c_0_8, negated_conjecture, ~(q @ (epsoo @ epso)), inference(fof_nnf,[status(thm)],[c_0_6])). 0.20/0.51 thf(c_0_9, plain, (q @ (^[Z0/* 1 */:$o]:($true))), inference(fof_simplification,[status(thm)],[qkt])). 0.20/0.51 thf(c_0_10, plain, (q @ (^[Z0/* 7 */:$o]:(~(($true))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_11, plain, (q @ (^[Z0/* 0 */:$o]:(Z0))), inference(fof_simplification,[status(thm)],[qid])). 0.20/0.51 thf(c_0_12, negated_conjecture, ~((q @ (epsoo @ epso))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.20/0.51 thf(c_0_13, plain, (q @ (^[Z0/* 3 */:$o]:(($true)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.20/0.51 thf(c_0_14, plain, (q @ (^[Z0/* 4 */:$o]:(~($true)))), inference(cn,[status(thm)],[c_0_10])). 0.20/0.51 thf(c_0_15, plain, (q @ (^[Z0/* 3 */:$o]:((Z0)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.51 thf(c_0_16, plain, ((^[Z0/* 3 */:$o]:(($true)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_12, c_0_13])). 0.20/0.51 thf(c_0_17, plain, ((^[Z0/* 4 */:$o]:(~($true)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_12, c_0_14])). 0.20/0.51 thf(c_0_18, plain, ((^[Z0/* 3 */:$o]:((Z0)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_12, c_0_15])). 0.20/0.51 thf(c_0_19, plain, ![X1:$o > $o]:((?[X2:$o]:((X1 @ ((X2))))=>(X1 @ ((epso @ X1))))), inference(fof_simplification,[status(thm)],[choiceaxo])). 0.20/0.51 thf(c_0_20, plain, ~((epsoo @ epso @ ((esk1_0)))), inference(neg_ext,[status(thm)],[c_0_16])). 0.20/0.51 thf(c_0_21, plain, (epsoo @ epso @ ((esk3_0))), inference(neg_ext,[status(thm)],[c_0_17])). 0.20/0.51 thf(c_0_22, plain, ((epsoo @ epso @ ((esk2_0)))<~>(esk2_0)), inference(neg_ext,[status(thm)],[c_0_18])). 0.20/0.51 thf(c_0_23, plain, ![X11:$o > $o, X12:$o]:((~(X11 @ ((X12)))|(X11 @ ((epso @ X11))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 0.20/0.51 thf(c_0_24, plain, ((esk1_0)<~>(esk3_0)), inference(ext_sup,[status(thm)],[c_0_20, c_0_21])). 0.20/0.51 thf(c_0_25, plain, ((epsoo @ epso @ (~($true)))|(esk2_0)), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_22])])). 0.20/0.51 thf(c_0_26, plain, (~((epsoo @ epso @ (($true))))|~((esk2_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_22])])). 0.20/0.51 thf(c_0_27, plain, ![X1:$o > $o, X2:$o]:(((X1 @ ((epso @ X1)))|~((X1 @ ((X2)))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.20/0.51 thf(c_0_28, plain, (~((esk1_0))|~((esk3_0))), inference(dynamic_cnf,[status(thm)],[c_0_24])). 0.20/0.51 thf(c_0_29, plain, ((esk2_0)|(esk1_0)), inference(ext_sup,[status(thm)],[c_0_20, c_0_25])). 0.20/0.51 thf(c_0_30, plain, (~((esk3_0))|~((esk2_0))), inference(ext_sup,[status(thm)],[c_0_26, c_0_21])). 0.20/0.51 thf(c_0_31, plain, ![X9:($o > $o) > $o, X10:$o > $o]:((~(X9 @ X10)|(X9 @ (epsoo @ X9)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[choiceaxoo])])])])). 0.20/0.51 thf(c_0_32, plain, ![X2:$o]:(((epso @ (^[Z0/* 3 */:$o]:((((Z0))=((X2))))))<=>(X2))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_27])). 0.20/0.51 thf(c_0_33, plain, ~((esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])). 0.20/0.51 thf(c_0_34, plain, ![X3:($o > $o) > $o, X1:$o > $o]:(((X3 @ (epsoo @ X3))|~((X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.51 thf(c_0_35, plain, (epso @ (^[Z0/* 3 */:$o]:((Z0)))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_32])])). 0.20/0.51 thf(c_0_36, plain, (esk1_0), inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_24]), c_0_33])). 0.20/0.51 thf(c_0_37, plain, (epsoo @ epso @ ((epso @ (epsoo @ epso)))), inference(spm,[status(thm)],[c_0_27, c_0_21])). 0.20/0.51 thf(c_0_38, plain, (epso @ (epsoo @ epso)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.20/0.51 thf(c_0_39, plain, ~((epsoo @ epso @ (($true)))), inference(rw,[status(thm)],[c_0_20, c_0_36])). 0.20/0.51 thf(c_0_40, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_39]), ['proof']). 0.20/0.51 # SZS output end CNFRefutation 0.20/0.51 # Parsed axioms : 9 0.20/0.51 # Removed by relevancy pruning/SinE : 3 0.20/0.51 # Initial clauses : 6 0.20/0.51 # Removed in clause preprocessing : 0 0.20/0.51 # Initial clauses in saturation : 6 0.20/0.51 # Processed clauses : 48 0.20/0.51 # ...of these trivial : 3 0.20/0.51 # ...subsumed : 5 0.20/0.51 # ...remaining for further processing : 40 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 : 6 0.20/0.51 # Backward-rewritten : 2 0.20/0.51 # Generated clauses : 49 0.20/0.51 # ...of the previous two non-redundant : 41 0.20/0.51 # ...aggressively subsumed : 0 0.20/0.51 # Contextual simplify-reflections : 1 0.20/0.51 # Paramodulations : 13 0.20/0.51 # Factorizations : 0 0.20/0.51 # NegExts : 4 0.20/0.51 # Equation resolutions : 0 0.20/0.51 # Disequality decompositions : 0 0.20/0.51 # Total rewrite steps : 7 0.20/0.51 # ...of those cached : 3 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 : 22 0.20/0.51 # Positive orientable unit clauses : 8 0.20/0.51 # Positive unorientable unit clauses: 0 0.20/0.51 # Negative unit clauses : 8 0.20/0.51 # Non-unit-clauses : 6 0.20/0.51 # Current number of unprocessed clauses: 5 0.20/0.51 # ...number of literals in the above : 8 0.20/0.51 # Current number of archived formulas : 0 0.20/0.51 # Current number of archived clauses : 18 0.20/0.51 # Clause-clause subsumption calls (NU) : 20 0.20/0.51 # Rec. Clause-clause subsumption calls : 20 0.20/0.51 # Non-unit clause-clause subsumptions : 6 0.20/0.51 # Unit Clause-clause subsumption calls : 30 0.20/0.51 # Rewrite failures with RHS unbound : 0 0.20/0.51 # BW rewrite match attempts : 8 0.20/0.51 # BW rewrite match successes : 2 0.20/0.51 # Condensation attempts : 48 0.20/0.51 # Condensation successes : 0 0.20/0.51 # Termbank termtop insertions : 1582 0.20/0.51 # Search garbage collected termcells : 75 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.007 s 0.20/0.51 # System time : 0.001 s 0.20/0.51 # Total time : 0.008 s 0.20/0.51 # Maximum resident set size: 1860 pages 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.008 s 0.20/0.51 # System time : 0.003 s 0.20/0.51 # Total time : 0.011 s 0.20/0.51 # Maximum resident set size: 1732 pages 0.20/0.51 % E exiting 0.20/0.51 % E exiting 0.20/0.51 EOF