0.05/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.08 % Command : run_E %s %d THM 0.08/0.26 % Computer : n032.cluster.edu 0.08/0.26 % Model : x86_64 x86_64 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.26 % Memory : 8042.1875MB 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.26 % CPULimit : 1440 0.08/0.26 % WCLimit : 180 0.08/0.26 % DateTime : Thu Jul 4 07:06:09 EDT 2024 0.08/0.26 % CPUTime : 0.12/0.35 Running higher-order theorem proving 0.12/0.36 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=180 /export/starexec/sandbox2/tmp/tmp.ZdnUrzSDzP/E---3.1_12494.p 0.12/0.38 # Version: 3.2.0-ho 0.12/0.38 # Preprocessing class: HSSSSMSSSSMNHHA. 0.12/0.38 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.38 # Starting post_as_ho5 with 900s (5) cores 0.12/0.38 # Starting sh2lt with 180s (1) cores 0.12/0.38 # Starting ehoh_best8_lambda with 180s (1) cores 0.12/0.38 # Starting post_as_ho10 with 180s (1) cores 0.12/0.38 # post_as_ho5 with pid 12574 completed with status 8 0.12/0.38 # sh2lt with pid 12575 completed with status 0 0.12/0.38 # Result found by sh2lt 0.12/0.38 # Preprocessing class: HSSSSMSSSSMNHHA. 0.12/0.38 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.38 # Starting post_as_ho5 with 900s (5) cores 0.12/0.38 # Starting sh2lt with 180s (1) cores 0.12/0.38 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.12/0.38 # Search class: HHHSS-FFSF11-SHHFFSBN 0.12/0.38 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.12/0.38 # Starting ehoh_best8_lambda with 98s (1) cores 0.12/0.38 # ehoh_best8_lambda with pid 12583 completed with status 0 0.12/0.38 # Result found by ehoh_best8_lambda 0.12/0.38 # Preprocessing class: HSSSSMSSSSMNHHA. 0.12/0.38 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.38 # Starting post_as_ho5 with 900s (5) cores 0.12/0.38 # Starting sh2lt with 180s (1) cores 0.12/0.38 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.12/0.38 # Search class: HHHSS-FFSF11-SHHFFSBN 0.12/0.38 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.12/0.38 # Starting ehoh_best8_lambda with 98s (1) cores 0.12/0.38 # Preprocessing time : 0.001 s 0.12/0.38 # Presaturation interreduction done 0.12/0.38 0.12/0.38 # Proof found! 0.12/0.38 # SZS status Theorem 0.12/0.38 # SZS output start CNFRefutation 0.12/0.38 thf(decl_22, type, epred1_0: $i > $o). 0.12/0.38 thf(decl_23, type, esk1_1: (($i > $i) > $o) > $i > $i). 0.12/0.38 thf(decl_24, type, esk2_1: (($i > $i) > $o) > $i > $i). 0.12/0.38 thf(decl_25, type, esk3_1: (($i > $i) > $o) > $i). 0.12/0.38 thf(decl_26, type, esk4_1: (($i > $i) > $o) > $i > $i). 0.12/0.38 thf(decl_27, type, esk5_0: $i > $i). 0.12/0.38 thf(cTHM112A_pme, conjecture, ![X1:$i > $o]:(?[X2:($i > $i) > $o]:(((X2 @ (^[X3:$i]:(X3)))&![X4:$i > $i, X5:$i > $i]:(((![X6:$i]:(((X1 @ X6)=>(X1 @ (X4 @ X6))))&(X2 @ (^[X3:$i]:(X4 @ (X5 @ X3)))))<=((X2 @ X5)&(X2 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.ZdnUrzSDzP/E---3.1_12494.p', cTHM112A_pme)). 0.12/0.38 thf(c_0_1, negated_conjecture, ~(![X1:$i > $o]:(?[X2:($i > $i) > $o]:(((X2 @ (^[Z0/* 0 */:$i]:(Z0)))&![X4:$i > $i, X5:$i > $i]:((((X2 @ X5)&(X2 @ X4))=>(![X6:$i]:(((X1 @ X6)=>(X1 @ (X4 @ X6))))&(X2 @ (^[Z0/* 17 */:$i]:(X4 @ (X5 @ Z0))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM112A_pme])])])). 0.12/0.38 thf(c_0_2, negated_conjecture, ![X13:($i > $i) > $o]:(((((X13 @ (esk2_1 @ X13))|~(X13 @ (^[Z0/* 0 */:$i]:(Z0))))&((X13 @ (esk1_1 @ X13))|~(X13 @ (^[Z0/* 0 */:$i]:(Z0)))))&(((epred1_0 @ (esk3_1 @ X13))|~(X13 @ (^[Z0/* 23 */:$i]:(esk1_1 @ X13 @ (esk2_1 @ X13 @ Z0))))|~(X13 @ (^[Z0/* 0 */:$i]:(Z0))))&(~(epred1_0 @ (esk1_1 @ X13 @ (esk3_1 @ X13)))|~(X13 @ (^[Z0/* 23 */:$i]:(esk1_1 @ X13 @ (esk2_1 @ X13 @ Z0))))|~(X13 @ (^[Z0/* 0 */:$i]:(Z0))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 0.12/0.38 thf(c_0_3, plain, ![X18:$i]:(((esk5_0 @ X18)=(X18))), introduced(definition)). 0.12/0.38 thf(c_0_4, plain, ![X17:$i, X2:($i > $i) > $o]:(((esk4_1 @ X2 @ X17)=(esk1_1 @ X2 @ (esk2_1 @ X2 @ X17)))), introduced(definition)). 0.12/0.38 thf(c_0_5, negated_conjecture, ![X2:($i > $i) > $o]:(((X2 @ (esk1_1 @ X2))|~((((X2 @ esk5_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 0.12/0.38 thf(c_0_6, negated_conjecture, ![X2:($i > $i) > $o]:((~((epred1_0 @ (esk1_1 @ X2 @ (esk3_1 @ X2))))|~((((X2 @ (esk4_1 @ X2)))=(($true))))|~((((X2 @ esk5_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_4])). 0.12/0.38 thf(c_0_7, negated_conjecture, ![X2:($i > $i) > $o]:(((X2 @ (esk1_1 @ X2))|~((X2 @ esk5_0)))), inference(cn,[status(thm)],[c_0_5])). 0.12/0.38 thf(c_0_8, plain, ![X25:$i]:(((esk5_0 @ X25)=(X25))), inference(variable_rename,[status(thm)],[])). 0.12/0.38 thf(c_0_9, negated_conjecture, ![X2:($i > $i) > $o]:(((epred1_0 @ (esk3_1 @ X2))|~((((X2 @ (esk4_1 @ X2)))=(($true))))|~((((X2 @ esk5_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_4])). 0.12/0.38 thf(c_0_10, negated_conjecture, ![X2:($i > $i) > $o]:(((X2 @ (esk2_1 @ X2))|~((((X2 @ esk5_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 0.12/0.38 thf(c_0_11, negated_conjecture, ![X2:($i > $i) > $o]:((~((epred1_0 @ (esk1_1 @ X2 @ (esk3_1 @ X2))))|~((X2 @ (esk4_1 @ X2)))|~((X2 @ esk5_0)))), inference(cn,[status(thm)],[c_0_6])). 0.12/0.38 thf(c_0_12, negated_conjecture, ((esk1_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))))=(esk5_0)), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_7])). 0.12/0.38 thf(c_0_13, plain, ![X3:$i]:(((esk5_0 @ X3)=(X3))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.12/0.38 thf(c_0_14, negated_conjecture, ![X2:($i > $i) > $o]:(((epred1_0 @ (esk3_1 @ X2))|~((X2 @ (esk4_1 @ X2)))|~((X2 @ esk5_0)))), inference(cn,[status(thm)],[c_0_9])). 0.12/0.38 thf(c_0_15, negated_conjecture, ![X2:($i > $i) > $o]:(((X2 @ (esk2_1 @ X2))|~((X2 @ esk5_0)))), inference(cn,[status(thm)],[c_0_10])). 0.12/0.38 thf(c_0_16, negated_conjecture, ![X31:($i > $i) > $i > $i, X32:($i > $i) > $i > $i]:((((X31 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0))))))!=(X32 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0)))))))|((X31 @ esk5_0)!=(X32 @ esk5_0))|~((epred1_0 @ (esk1_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0)))) @ (esk3_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0)))))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_11])). 0.12/0.38 thf(c_0_17, negated_conjecture, ![X3:$i]:(((esk1_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))) @ X3)=(X3))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_12]), c_0_13])). 0.12/0.38 thf(c_0_18, negated_conjecture, ![X31:($i > $i) > $i > $i, X32:($i > $i) > $i > $i]:(((epred1_0 @ (esk3_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0))))))|((X31 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0))))))!=(X32 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0)))))))|((X31 @ esk5_0)!=(X32 @ esk5_0)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_14])). 0.12/0.38 thf(c_0_19, plain, ![X23:$i, X24:($i > $i) > $o]:(((esk4_1 @ X24 @ X23)=(esk1_1 @ X24 @ (esk2_1 @ X24 @ X23)))), inference(variable_rename,[status(thm)],[])). 0.12/0.38 thf(c_0_20, negated_conjecture, ((esk2_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))))=(esk5_0)), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_15])). 0.12/0.38 thf(c_0_21, plain, ![X31:($i > $i) > $i > $i, X32:($i > $i) > $i > $i]:((((X31 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0))))))!=(X32 @ (esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0)))))))|((^[Z0/* 3 */:$i > $i]:(((X31 @ Z0)=(X32 @ Z0))))!=(^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))))|((X31 @ esk5_0)!=(X32 @ esk5_0)))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_16, c_0_17])]), c_0_18])). 0.12/0.38 thf(c_0_22, plain, ![X2:($i > $i) > $o, X3:$i]:(((esk4_1 @ X2 @ X3)=(esk1_1 @ X2 @ (esk2_1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.12/0.38 thf(c_0_23, negated_conjecture, ![X3:$i]:(((esk2_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))) @ X3)=(X3))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20]), c_0_13])). 0.12/0.38 thf(c_0_24, plain, ((esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))))!=(esk5_0)), inference(er,[status(thm)],[c_0_21])). 0.12/0.38 thf(c_0_25, plain, ![X3:$i]:(((esk4_1 @ (^[Z0/* 3 */:$i > $i]:(((Z0)=(esk5_0)))) @ X3)=(X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_17])). 0.12/0.38 thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_24]), c_0_25]), c_0_13])]), ['proof']). 0.12/0.38 # SZS output end CNFRefutation 0.12/0.38 # Parsed axioms : 1 0.12/0.38 # Removed by relevancy pruning/SinE : 0 0.12/0.38 # Initial clauses : 6 0.12/0.38 # Removed in clause preprocessing : 0 0.12/0.38 # Initial clauses in saturation : 6 0.12/0.38 # Processed clauses : 86 0.12/0.38 # ...of these trivial : 1 0.12/0.38 # ...subsumed : 7 0.12/0.38 # ...remaining for further processing : 78 0.12/0.38 # Other redundant clauses eliminated : 8 0.12/0.38 # Clauses deleted for lack of memory : 0 0.12/0.38 # Backward-subsumed : 1 0.12/0.38 # Backward-rewritten : 1 0.12/0.38 # Generated clauses : 129 0.12/0.38 # ...of the previous two non-redundant : 105 0.12/0.38 # ...aggressively subsumed : 0 0.12/0.38 # Contextual simplify-reflections : 3 0.12/0.38 # Paramodulations : 17 0.12/0.38 # Factorizations : 0 0.12/0.38 # NegExts : 24 0.12/0.38 # Equation resolutions : 14 0.12/0.38 # Disequality decompositions : 0 0.12/0.38 # Total rewrite steps : 16 0.12/0.38 # ...of those cached : 0 0.12/0.38 # Propositional unsat checks : 0 0.12/0.38 # Propositional check models : 0 0.12/0.38 # Propositional check unsatisfiable : 0 0.12/0.38 # Propositional clauses : 0 0.12/0.38 # Propositional clauses after purity: 0 0.12/0.38 # Propositional unsat core size : 0 0.12/0.38 # Propositional preprocessing time : 0.000 0.12/0.38 # Propositional encoding time : 0.000 0.12/0.38 # Propositional solver time : 0.000 0.12/0.38 # Success case prop preproc time : 0.000 0.12/0.38 # Success case prop encoding time : 0.000 0.12/0.38 # Success case prop solver time : 0.000 0.12/0.38 # Current number of processed clauses : 57 0.12/0.38 # Positive orientable unit clauses : 9 0.12/0.38 # Positive unorientable unit clauses: 0 0.12/0.38 # Negative unit clauses : 6 0.12/0.38 # Non-unit-clauses : 42 0.12/0.38 # Current number of unprocessed clauses: 31 0.12/0.38 # ...number of literals in the above : 109 0.12/0.38 # Current number of archived formulas : 0 0.12/0.38 # Current number of archived clauses : 21 0.12/0.38 # Clause-clause subsumption calls (NU) : 220 0.12/0.38 # Rec. Clause-clause subsumption calls : 128 0.12/0.38 # Non-unit clause-clause subsumptions : 9 0.12/0.38 # Unit Clause-clause subsumption calls : 24 0.12/0.38 # Rewrite failures with RHS unbound : 0 0.12/0.38 # BW rewrite match attempts : 8 0.12/0.38 # BW rewrite match successes : 2 0.12/0.38 # Condensation attempts : 0 0.12/0.38 # Condensation successes : 0 0.12/0.38 # Termbank termtop insertions : 27373 0.12/0.38 # Search garbage collected termcells : 184 0.12/0.38 0.12/0.38 # ------------------------------------------------- 0.12/0.38 # User time : 0.009 s 0.12/0.38 # System time : 0.003 s 0.12/0.38 # Total time : 0.012 s 0.12/0.38 # Maximum resident set size: 1956 pages 0.12/0.38 0.12/0.38 # ------------------------------------------------- 0.12/0.38 # User time : 0.023 s 0.12/0.38 # System time : 0.014 s 0.12/0.38 # Total time : 0.037 s 0.12/0.38 # Maximum resident set size: 1716 pages 0.12/0.38 % E---3.1 exiting 0.12/0.38 % E exiting 0.12/0.38 EOF