0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n017.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 09:31:04 EDT 2025 0.10/0.31 % CPUTime : 0.17/0.43 Running higher-order theorem proving 0.17/0.44 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.dF9F48L79v/E---3.1_27714.p 0.17/0.45 # Version: 3.0.0-ho 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNHHA. 0.17/0.45 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.45 # Starting sh2lt with 960s (4) cores 0.17/0.45 # Starting new_ho_10_unif with 240s (1) cores 0.17/0.45 # Starting full_lambda_6 with 240s (1) cores 0.17/0.45 # Starting post_as_ho1 with 240s (1) cores 0.17/0.45 # Starting ehoh_best3_rw with 240s (1) cores 0.17/0.45 # sh2lt with pid 27792 completed with status 0 0.17/0.45 # Result found by sh2lt 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNHHA. 0.17/0.45 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.45 # Starting sh2lt with 960s (4) cores 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.17/0.45 # Search class: HGHSS-FFSF11-SHHFFMBN 0.17/0.45 # partial match(1): HGHSS-FFMF11-SHHFFMBN 0.17/0.45 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 0.17/0.45 # Starting full_lambda_6 with 519s (1) cores 0.17/0.45 # Starting sh2lt with 97s (1) cores 0.17/0.45 # Starting ho_unfolding_4 with 87s (1) cores 0.17/0.45 # Starting full_lambda_5 with 87s (1) cores 0.17/0.45 # sh2lt with pid 27799 completed with status 0 0.17/0.45 # Result found by sh2lt 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNHHA. 0.17/0.45 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.45 # Starting sh2lt with 960s (4) cores 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.17/0.45 # Search class: HGHSS-FFSF11-SHHFFMBN 0.17/0.45 # partial match(1): HGHSS-FFMF11-SHHFFMBN 0.17/0.45 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 0.17/0.45 # Starting full_lambda_6 with 519s (1) cores 0.17/0.45 # Starting sh2lt with 97s (1) cores 0.17/0.45 # Preprocessing time : 0.001 s 0.17/0.45 # Presaturation interreduction done 0.17/0.45 0.17/0.45 # Proof found! 0.17/0.45 # SZS status Theorem 0.17/0.45 # SZS output start CNFRefutation 0.17/0.45 thf(decl_sort1, type, a: $tType). 0.17/0.45 thf(decl_23, type, epred1_0: (a > $o) > $o). 0.17/0.45 thf(decl_24, type, esk1_1: (a > $o) > a). 0.17/0.45 thf(decl_25, type, epred2_1: a > a > $o). 0.17/0.45 thf(decl_26, type, epred3_1: (a > a > $o) > a > $o). 0.17/0.45 thf(decl_27, type, esk2_1: (a > a > $o) > a). 0.17/0.45 thf(decl_28, type, esk3_1: (a > a > $o) > a). 0.17/0.45 thf(decl_29, type, esk4_1: (a > a > $o) > a). 0.17/0.45 thf(decl_30, type, esk5_2: a > (a > a > $o) > a). 0.17/0.45 thf(cTHM262A_pme, conjecture, ![X1:(a > $o) > $o]:(((![X2:a > $o]:((?[X3:a]:((X2 @ X3))<=(X1 @ X2)))&![X4:a]:(?[X2:a > $o]:((((X1 @ X2)&(X2 @ X4))&![X5:a > $o]:((((X5 @ X4)&(X1 @ X5))=>((X5)=(X2))))))))=>?[X6:a > a > $o]:(((^[X7:a > $o]:((![X4:a]:(((X7 @ X4)=>![X8:a]:(((X7 @ X8)<=>(X6 @ X4 @ X8)))))&?[X3:a]:((X7 @ X3)))))=(X1))))), file('/export/starexec/sandbox/tmp/tmp.dF9F48L79v/E---3.1_27714.p', cTHM262A_pme)). 0.17/0.45 thf(c_0_1, negated_conjecture, ~(![X1:(a > $o) > $o]:(((![X2:a > $o]:(((X1 @ X2)=>?[X3:a]:((X2 @ X3))))&![X4:a]:(?[X2:a > $o]:((((X1 @ X2)&(X2 @ X4))&![X5:a > $o]:((((X5 @ X4)&(X1 @ X5))=>((X5)=(X2))))))))=>?[X6:a > a > $o]:(![X16:a > $o]:(((![X4:a]:(((X16 @ X4)=>![X8:a]:(((X16 @ X8)<=>(X6 @ X4 @ X8)))))&?[X3:a]:((X16 @ X3)))<=>(X1 @ X16))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM262A_pme])])])])). 0.17/0.45 thf(c_0_2, negated_conjecture, ![X18:a > $o, X20:a, X22:a > $o, X23:a > a > $o, X27:a, X28:a, X29:a]:((((~(epred1_0 @ X18)|(X18 @ (esk1_1 @ X18)))&(((epred1_0 @ (epred2_1 @ X20))&(epred2_1 @ X20 @ X20))&(~(X22 @ X20)|~(epred1_0 @ X22)|((X22)=(epred2_1 @ X20)))))&((((epred3_1 @ X23 @ (esk2_1 @ X23))|~(epred3_1 @ X23 @ X27)|~(epred1_0 @ (epred3_1 @ X23)))&((~(epred3_1 @ X23 @ (esk3_1 @ X23))|~(X23 @ (esk2_1 @ X23) @ (esk3_1 @ X23))|~(epred3_1 @ X23 @ X27)|~(epred1_0 @ (epred3_1 @ X23)))&((epred3_1 @ X23 @ (esk3_1 @ X23))|(X23 @ (esk2_1 @ X23) @ (esk3_1 @ X23))|~(epred3_1 @ X23 @ X27)|~(epred1_0 @ (epred3_1 @ X23)))))&(((~(epred3_1 @ X23 @ X29)|(X23 @ X28 @ X29)|~(epred3_1 @ X23 @ X28)|(epred1_0 @ (epred3_1 @ X23)))&(~(X23 @ X28 @ X29)|(epred3_1 @ X23 @ X29)|~(epred3_1 @ X23 @ X28)|(epred1_0 @ (epred3_1 @ X23))))&((epred3_1 @ X23 @ (esk4_1 @ X23))|(epred1_0 @ (epred3_1 @ X23))))))), 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])])])])])])). 0.17/0.45 thf(c_0_3, negated_conjecture, ![X3:a, X6:a > a > $o, X4:a]:(((X6 @ X4 @ X3)|(epred1_0 @ (epred3_1 @ X6))|~((epred3_1 @ X6 @ X3))|~((epred3_1 @ X6 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_4, negated_conjecture, ![X3:a]:(((epred1_0 @ (epred3_1 @ $neq))|~((epred3_1 @ $neq @ X3)))), inference(er,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_3])])). 0.17/0.45 thf(c_0_5, negated_conjecture, ![X6:a > a > $o]:(((epred3_1 @ X6 @ (esk4_1 @ X6))|(epred1_0 @ (epred3_1 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_6, negated_conjecture, ![X3:a, X6:a > a > $o]:(((epred3_1 @ X6 @ (esk2_1 @ X6))|~((epred3_1 @ X6 @ X3))|~((epred1_0 @ (epred3_1 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_7, negated_conjecture, (epred1_0 @ (epred3_1 @ $neq)), inference(spm,[status(thm)],[c_0_4, c_0_5])). 0.17/0.45 thf(c_0_8, negated_conjecture, ![X2:a > $o]:(((X2 @ (esk1_1 @ X2))|~((epred1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_9, negated_conjecture, ![X3:a, X2:a > $o]:((((X2)=(epred2_1 @ X3))|~((X2 @ X3))|~((epred1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_10, negated_conjecture, ![X3:a]:(((epred3_1 @ $neq @ (esk2_1 @ $neq))|~((epred3_1 @ $neq @ X3)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 0.17/0.45 thf(c_0_11, negated_conjecture, (epred3_1 @ $neq @ (esk1_1 @ (epred3_1 @ $neq))), inference(spm,[status(thm)],[c_0_8, c_0_7])). 0.17/0.45 thf(c_0_12, negated_conjecture, ![X3:a, X6:a > a > $o]:((~((epred3_1 @ X6 @ (esk3_1 @ X6)))|~((X6 @ (esk2_1 @ X6) @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ X3))|~((epred1_0 @ (epred3_1 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_13, negated_conjecture, ![X3:a]:((epred1_0 @ (epred2_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.17/0.45 thf(c_0_14, negated_conjecture, ![X3:a]:((((epred3_1 @ $neq)=(epred2_1 @ X3))|~((epred3_1 @ $neq @ X3)))), inference(spm,[status(thm)],[c_0_9, c_0_7])). 0.17/0.45 thf(c_0_15, negated_conjecture, (epred3_1 @ $neq @ (esk2_1 @ $neq)), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.17/0.45 thf(c_0_16, plain, ![X3:a, X6:a > a > $o, X4:a]:((((epred3_1 @ X6)!=(epred2_1 @ X3))|~((X6 @ (esk2_1 @ X6) @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ X4)))), inference(ext_sup,[status(thm)],[c_0_12, c_0_13])). 0.17/0.45 thf(c_0_17, negated_conjecture, ((epred2_1 @ (esk2_1 @ $neq))=(epred3_1 @ $neq)), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.17/0.45 thf(c_0_18, plain, ![X3:a, X6:a > a > $o, X4:a]:((((epred3_1 @ X6 @ (esk5_2 @ X3 @ X6))<~>(epred2_1 @ X3 @ (esk5_2 @ X3 @ X6)))|~((X6 @ (esk2_1 @ X6) @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ X4)))), inference(neg_ext,[status(thm)],[c_0_16])). 0.17/0.45 thf(c_0_19, negated_conjecture, ![X42:a]:(((epred2_1 @ (esk2_1 @ $neq) @ X42)<=>(epred3_1 @ $neq @ X42))), inference(arg_cong,[status(thm)],[c_0_17])). 0.17/0.45 thf(c_0_20, plain, ![X3:a, X6:a > a > $o, X4:a]:((~((epred3_1 @ X6 @ (esk5_2 @ X3 @ X6)))|~((epred2_1 @ X3 @ (esk5_2 @ X3 @ X6)))|~((X6 @ (esk2_1 @ X6) @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ (esk3_1 @ X6)))|~((epred3_1 @ X6 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_18])). 0.17/0.45 thf(c_0_21, negated_conjecture, ![X3:a]:((epred3_1 @ (($true)) @ X3)), inference(dynamic_cnf,[status(thm)],[c_0_19])). 0.17/0.45 thf(c_0_22, plain, ![X3:a]:((~(($true @ (esk2_1 @ (($true))) @ (esk3_1 @ (($true)))))|~((epred2_1 @ X3 @ (esk5_2 @ X3 @ (($true))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_21]), c_0_21])])). 0.17/0.45 thf(c_0_23, plain, ![X3:a]:(~((epred2_1 @ X3 @ (esk5_2 @ X3 @ (($true)))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_22])])). 0.17/0.45 thf(c_0_24, negated_conjecture, ![X3:a]:((epred2_1 @ (esk2_1 @ (($true))) @ X3)), inference(dynamic_cnf,[status(thm)],[c_0_19])). 0.17/0.45 thf(c_0_25, plain, ($false), inference(spm,[status(thm)],[c_0_23, c_0_24]), ['proof']). 0.17/0.45 # SZS output end CNFRefutation 0.17/0.45 # Parsed axioms : 2 0.17/0.45 # Removed by relevancy pruning/SinE : 1 0.17/0.45 # Initial clauses : 10 0.17/0.45 # Removed in clause preprocessing : 0 0.17/0.45 # Initial clauses in saturation : 10 0.17/0.45 # Processed clauses : 57 0.17/0.45 # ...of these trivial : 1 0.17/0.45 # ...subsumed : 2 0.17/0.45 # ...remaining for further processing : 54 0.17/0.45 # Other redundant clauses eliminated : 4 0.17/0.45 # Clauses deleted for lack of memory : 0 0.17/0.45 # Backward-subsumed : 0 0.17/0.45 # Backward-rewritten : 3 0.17/0.45 # Generated clauses : 115 0.17/0.45 # ...of the previous two non-redundant : 74 0.17/0.45 # ...aggressively subsumed : 0 0.17/0.45 # Contextual simplify-reflections : 0 0.17/0.45 # Paramodulations : 44 0.17/0.45 # Factorizations : 0 0.17/0.45 # NegExts : 1 0.17/0.45 # Equation resolutions : 4 0.17/0.45 # Disequality decompositions : 0 0.17/0.45 # Total rewrite steps : 34 0.17/0.45 # ...of those cached : 18 0.17/0.45 # Propositional unsat checks : 0 0.17/0.45 # Propositional check models : 0 0.17/0.45 # Propositional check unsatisfiable : 0 0.17/0.45 # Propositional clauses : 0 0.17/0.45 # Propositional clauses after purity: 0 0.17/0.45 # Propositional unsat core size : 0 0.17/0.45 # Propositional preprocessing time : 0.000 0.17/0.45 # Propositional encoding time : 0.000 0.17/0.45 # Propositional solver time : 0.000 0.17/0.45 # Success case prop preproc time : 0.000 0.17/0.45 # Success case prop encoding time : 0.000 0.17/0.45 # Success case prop solver time : 0.000 0.17/0.45 # Current number of processed clauses : 35 0.17/0.45 # Positive orientable unit clauses : 13 0.17/0.45 # Positive unorientable unit clauses: 0 0.17/0.45 # Negative unit clauses : 2 0.17/0.45 # Non-unit-clauses : 20 0.17/0.45 # Current number of unprocessed clauses: 37 0.17/0.45 # ...number of literals in the above : 105 0.17/0.45 # Current number of archived formulas : 0 0.17/0.45 # Current number of archived clauses : 19 0.17/0.45 # Clause-clause subsumption calls (NU) : 40 0.17/0.45 # Rec. Clause-clause subsumption calls : 14 0.17/0.45 # Non-unit clause-clause subsumptions : 2 0.17/0.45 # Unit Clause-clause subsumption calls : 25 0.17/0.45 # Rewrite failures with RHS unbound : 0 0.17/0.45 # BW rewrite match attempts : 3 0.17/0.45 # BW rewrite match successes : 2 0.17/0.45 # Condensation attempts : 0 0.17/0.45 # Condensation successes : 0 0.17/0.45 # Termbank termtop insertions : 4842 0.17/0.45 # Search garbage collected termcells : 489 0.17/0.45 0.17/0.45 # ------------------------------------------------- 0.17/0.45 # User time : 0.008 s 0.17/0.45 # System time : 0.002 s 0.17/0.45 # Total time : 0.010 s 0.17/0.45 # Maximum resident set size: 1928 pages 0.17/0.45 0.17/0.45 # ------------------------------------------------- 0.17/0.45 # User time : 0.027 s 0.17/0.45 # System time : 0.007 s 0.17/0.45 # Total time : 0.034 s 0.17/0.45 # Maximum resident set size: 1736 pages 0.17/0.45 % E exiting 0.17/0.46 % E exiting 0.17/0.46 EOF