0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n011.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 02:58:04 EDT 2025 0.12/0.33 % CPUTime : 0.21/0.48 Running higher-order theorem proving 0.21/0.49 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.qpnQLvjgvK/E---3.1_5211.p 0.21/0.50 # Version: 3.0.0-ho 0.21/0.50 # Preprocessing class: HSSSSMSSSSSCHSA. 0.21/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.50 # Starting new_ho_10 with 1200s (5) cores 0.21/0.50 # Starting sh5l with 240s (1) cores 0.21/0.50 # Starting new_bool_1 with 240s (1) cores 0.21/0.50 # Starting new_bool_2 with 240s (1) cores 0.21/0.50 # new_bool_1 with pid 5298 completed with status 0 0.21/0.50 # Result found by new_bool_1 0.21/0.50 # Preprocessing class: HSSSSMSSSSSCHSA. 0.21/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.50 # Starting new_ho_10 with 1200s (5) cores 0.21/0.50 # Starting sh5l with 240s (1) cores 0.21/0.50 # Starting new_bool_1 with 240s (1) cores 0.21/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.50 # Search class: HHHSF-FFSF22-DHSFFMBC 0.21/0.50 # partial match(5): HGUSF-FFSF22-SHHFFMBN 0.21/0.50 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.50 # Starting new_ho_10 with 44s (1) cores 0.21/0.50 # new_ho_10 with pid 5300 completed with status 0 0.21/0.50 # Result found by new_ho_10 0.21/0.50 # Preprocessing class: HSSSSMSSSSSCHSA. 0.21/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.50 # Starting new_ho_10 with 1200s (5) cores 0.21/0.50 # Starting sh5l with 240s (1) cores 0.21/0.50 # Starting new_bool_1 with 240s (1) cores 0.21/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.50 # Search class: HHHSF-FFSF22-DHSFFMBC 0.21/0.50 # partial match(5): HGUSF-FFSF22-SHHFFMBN 0.21/0.50 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.50 # Starting new_ho_10 with 44s (1) cores 0.21/0.50 # Preprocessing time : 0.001 s 0.21/0.50 # Presaturation interreduction done 0.21/0.50 0.21/0.50 # Proof found! 0.21/0.50 # SZS status Theorem 0.21/0.50 # SZS output start CNFRefutation 0.21/0.50 thf(decl_23, type, epsii: (($i > $i) > $o) > $i > $i). 0.21/0.50 thf(decl_24, type, if: $o > ($i > $i) > ($i > $i) > $i > $i). 0.21/0.50 thf(decl_25, type, esk1_0: $i > $i). 0.21/0.50 thf(decl_26, type, esk2_0: $i > $i). 0.21/0.50 thf(ifd, axiom, ((if)=(^[X1:$o, X2:$i > $i, X3:$i > $i]:(epsii @ (^[X4:$i > $i]:((((X1)&((X4)=(X2)))|(~((X1))&((X4)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qpnQLvjgvK/E---3.1_5211.p', ifd)). 0.21/0.50 thf(conj, conjecture, ![X2:$i > $i, X3:$i > $i]:((((if @ (($true)) @ X2 @ X3)=(X2))&((if @ (~($true)) @ X2 @ X3)=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.qpnQLvjgvK/E---3.1_5211.p', conj)). 0.21/0.50 thf(choiceaxii, axiom, ![X5:($i > $i) > $o]:((?[X2:$i > $i]:((X5 @ X2))=>(X5 @ (epsii @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qpnQLvjgvK/E---3.1_5211.p', choiceaxii)). 0.21/0.50 thf(c_0_3, plain, ((if)=(^[Z0/* 19 */:$o, Z1:$i > $i, Z2:$i > $i]:(epsii @ (^[Z3/* 9 */:$i > $i]:((((Z0)&((Z3)=(Z1)))|(~((Z0))&(Z3)))))))), inference(fof_simplification,[status(thm)],[ifd])). 0.21/0.50 thf(c_0_4, negated_conjecture, ~(![X2:$i > $i, X3:$i > $i]:((((epsii @ (^[Z0/* 9 */:$i > $i]:((($true&((Z0)=(X2)))|(~($true)&((Z0)=(X3)))))))=(X2))&((epsii @ (^[Z0/* 9 */:$i > $i]:(((~($true)&((Z0)=(X2)))|(~(~($true))&((Z0)=(X3)))))))=(X3))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_3])). 0.21/0.50 thf(c_0_5, negated_conjecture, (((epsii @ (^[Z0/* 9 */:$i > $i]:((($true&((Z0)=(esk1_0)))|(~($true)&((Z0)=(esk2_0)))))))!=(esk1_0))|((epsii @ (^[Z0/* 9 */:$i > $i]:(((~($true)&((Z0)=(esk1_0)))|(~(~($true))&((Z0)=(esk2_0)))))))!=(esk2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])). 0.21/0.50 thf(c_0_6, negated_conjecture, (((epsii @ (^[Z0/* 9 */:$i > $i]:(((($true)&((Z0)=(esk1_0)))|(~(($true))&((Z0)=(esk2_0)))))))!=(esk1_0))|((epsii @ (^[Z0/* 9 */:$i > $i]:(((~(($true))&((Z0)=(esk1_0)))|(~(~(($true)))&((Z0)=(esk2_0)))))))!=(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.50 thf(c_0_7, plain, ![X12:($i > $i) > $o, X13:$i > $i]:((~(X12 @ X13)|(X12 @ (epsii @ X12)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[choiceaxii])])])])). 0.21/0.50 thf(c_0_8, negated_conjecture, (((epsii @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk2_0)))))!=(esk2_0))|((epsii @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk1_0)))))!=(esk1_0))), inference(cn,[status(thm)],[c_0_6])). 0.21/0.50 thf(c_0_9, plain, ![X5:($i > $i) > $o, X2:$i > $i]:(((X5 @ (epsii @ X5))|~((X5 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.50 thf(c_0_10, negated_conjecture, ((epsii @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk2_0)))))=(esk2_0)), inference(er,[status(thm)],[inference(choice_inst,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8, c_0_9])])). 0.21/0.50 thf(c_0_11, negated_conjecture, ((epsii @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk1_0)))))!=(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_10])])). 0.21/0.50 thf(c_0_12, negated_conjecture, ($false), inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(choice_inst,[status(thm)],[inference(cn,[status(thm)],[]), c_0_11, c_0_9]), c_0_11])]), ['proof']). 0.21/0.50 # SZS output end CNFRefutation 0.21/0.50 # Parsed axioms : 5 0.21/0.50 # Removed by relevancy pruning/SinE : 2 0.21/0.50 # Initial clauses : 2 0.21/0.50 # Removed in clause preprocessing : 0 0.21/0.50 # Initial clauses in saturation : 2 0.21/0.50 # Processed clauses : 11 0.21/0.50 # ...of these trivial : 0 0.21/0.50 # ...subsumed : 0 0.21/0.50 # ...remaining for further processing : 11 0.21/0.50 # Other redundant clauses eliminated : 5 0.21/0.50 # Clauses deleted for lack of memory : 0 0.21/0.50 # Backward-subsumed : 1 0.21/0.50 # Backward-rewritten : 2 0.21/0.50 # Generated clauses : 23 0.21/0.50 # ...of the previous two non-redundant : 19 0.21/0.50 # ...aggressively subsumed : 0 0.21/0.50 # Contextual simplify-reflections : 0 0.21/0.50 # Paramodulations : 0 0.21/0.50 # Factorizations : 0 0.21/0.50 # NegExts : 6 0.21/0.50 # Equation resolutions : 5 0.21/0.50 # Disequality decompositions : 0 0.21/0.50 # Total rewrite steps : 2 0.21/0.50 # ...of those cached : 1 0.21/0.50 # Propositional unsat checks : 0 0.21/0.50 # Propositional check models : 0 0.21/0.50 # Propositional check unsatisfiable : 0 0.21/0.50 # Propositional clauses : 0 0.21/0.50 # Propositional clauses after purity: 0 0.21/0.50 # Propositional unsat core size : 0 0.21/0.50 # Propositional preprocessing time : 0.000 0.21/0.50 # Propositional encoding time : 0.000 0.21/0.50 # Propositional solver time : 0.000 0.21/0.50 # Success case prop preproc time : 0.000 0.21/0.50 # Success case prop encoding time : 0.000 0.21/0.50 # Success case prop solver time : 0.000 0.21/0.50 # Current number of processed clauses : 6 0.21/0.50 # Positive orientable unit clauses : 1 0.21/0.50 # Positive unorientable unit clauses: 0 0.21/0.50 # Negative unit clauses : 1 0.21/0.50 # Non-unit-clauses : 4 0.21/0.50 # Current number of unprocessed clauses: 10 0.21/0.50 # ...number of literals in the above : 15 0.21/0.50 # Current number of archived formulas : 0 0.21/0.50 # Current number of archived clauses : 5 0.21/0.50 # Clause-clause subsumption calls (NU) : 20 0.21/0.50 # Rec. Clause-clause subsumption calls : 12 0.21/0.50 # Non-unit clause-clause subsumptions : 0 0.21/0.50 # Unit Clause-clause subsumption calls : 3 0.21/0.50 # Rewrite failures with RHS unbound : 0 0.21/0.50 # BW rewrite match attempts : 2 0.21/0.50 # BW rewrite match successes : 1 0.21/0.50 # Condensation attempts : 11 0.21/0.50 # Condensation successes : 0 0.21/0.50 # Termbank termtop insertions : 1955 0.21/0.50 # Search garbage collected termcells : 112 0.21/0.50 0.21/0.50 # ------------------------------------------------- 0.21/0.50 # User time : 0.004 s 0.21/0.50 # System time : 0.001 s 0.21/0.50 # Total time : 0.006 s 0.21/0.50 # Maximum resident set size: 1712 pages 0.21/0.50 0.21/0.50 # ------------------------------------------------- 0.21/0.50 # User time : 0.005 s 0.21/0.50 # System time : 0.004 s 0.21/0.50 # Total time : 0.009 s 0.21/0.50 # Maximum resident set size: 1732 pages 0.21/0.50 % E exiting 0.21/0.51 % E exiting 0.21/0.51 EOF