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 : n007.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 02:11:19 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.48 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.FN39boWc9o/E---3.1_21725.p 0.20/0.50 # Version: 3.0.0-ho 0.20/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting post_as_ho5 with 1200s (5) cores 0.20/0.50 # Starting sh2lt with 240s (1) cores 0.20/0.50 # Starting ehoh_best8_lambda with 240s (1) cores 0.20/0.50 # Starting post_as_ho10 with 240s (1) cores 0.20/0.50 # post_as_ho5 with pid 21803 completed with status 0 0.20/0.50 # Result found by post_as_ho5 0.20/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting post_as_ho5 with 1200s (5) cores 0.20/0.50 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.20/0.50 # Search class: HGUNF-FFSF00-SHHFFMBN 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.20/0.50 # Starting ehoh_best6_lambda with 649s (1) cores 0.20/0.50 # Starting post_as_ho5 with 121s (1) cores 0.20/0.50 # Starting ehoh_best_nonlift_nonlambdatoforall with 109s (1) cores 0.20/0.50 # Starting sh2lt with 109s (1) cores 0.20/0.50 # Starting sh2l with 109s (1) cores 0.20/0.50 # ehoh_best_nonlift_nonlambdatoforall with pid 21811 completed with status 0 0.20/0.50 # Result found by ehoh_best_nonlift_nonlambdatoforall 0.20/0.50 # Preprocessing class: HSSSSMSSSSMNHHA. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.50 # Starting post_as_ho5 with 1200s (5) cores 0.20/0.50 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.20/0.50 # Search class: HGUNF-FFSF00-SHHFFMBN 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.20/0.50 # Starting ehoh_best6_lambda with 649s (1) cores 0.20/0.50 # Starting post_as_ho5 with 121s (1) cores 0.20/0.50 # Starting ehoh_best_nonlift_nonlambdatoforall with 109s (1) cores 0.20/0.50 # Preprocessing time : 0.001 s 0.20/0.50 # Presaturation interreduction done 0.20/0.50 0.20/0.50 # Proof found! 0.20/0.50 # SZS status Theorem 0.20/0.50 # SZS output start CNFRefutation 0.20/0.50 thf(decl_23, type, epred1_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.20/0.50 thf(decl_24, type, epred2_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.20/0.50 thf(decl_25, type, epred3_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.20/0.50 thf(decl_26, type, epred4_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.20/0.50 thf(cTHM120B_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[X2:$i]:(($true))) @ (^[X2:$i]:(~($true)))))&![X3:$i > $o, X4:$i > $o, X5:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X3 @ X4))=>(X1 @ X3 @ X5))))&![X6:$i > $o]:((X1 @ X6 @ X6)))), file('/export/starexec/sandbox2/tmp/tmp.FN39boWc9o/E---3.1_21725.p', cTHM120B_pme)). 0.20/0.50 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true)))))&![X3:$i > $o, X4:$i > $o, X5:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X3 @ X4))=>(X1 @ X3 @ X5))))&![X6:$i > $o]:((X1 @ X6 @ X6))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120B_pme])])). 0.20/0.50 thf(c_0_2, negated_conjecture, ![X12:($i > $o) > ($i > $o) > $o]:(((((X12 @ (epred2_1 @ X12) @ (epred3_1 @ X12))|(X12 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))))|~(X12 @ (epred4_1 @ X12) @ (epred4_1 @ X12)))&((X12 @ (epred1_1 @ X12) @ (epred2_1 @ X12))|(X12 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))))|~(X12 @ (epred4_1 @ X12) @ (epred4_1 @ X12))))&(~(X12 @ (epred1_1 @ X12) @ (epred3_1 @ X12))|(X12 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))))|~(X12 @ (epred4_1 @ X12) @ (epred4_1 @ X12))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 0.20/0.50 thf(c_0_3, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred1_1 @ X1) @ (epred2_1 @ X1))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))))|~((X1 @ (epred1_1 @ X1) @ (epred3_1 @ X1)))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_5, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred1_1 @ X1) @ (epred2_1 @ X1))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(cn,[status(thm)],[c_0_3])). 0.20/0.50 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))))|~((X1 @ (epred1_1 @ X1) @ (epred3_1 @ X1)))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(cn,[status(thm)],[c_0_4])). 0.20/0.50 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.50 thf(c_0_8, negated_conjecture, (((epred2_1 @ $eq)=(epred1_1 @ $eq))|((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_5])). 0.20/0.50 thf(c_0_9, negated_conjecture, (((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|((epred3_1 @ $eq)!=(epred1_1 @ $eq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_6])). 0.20/0.50 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))))|~((X1 @ (epred4_1 @ X1) @ (epred4_1 @ X1))))), inference(cn,[status(thm)],[c_0_7])). 0.20/0.50 thf(c_0_11, negated_conjecture, ((epred2_1 @ $eq)=(epred1_1 @ $eq)), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_8])])). 0.20/0.50 thf(c_0_12, negated_conjecture, ((epred3_1 @ $eq)!=(epred1_1 @ $eq)), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_9])])). 0.20/0.50 thf(c_0_13, negated_conjecture, ((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10]), c_0_11]), c_0_12])). 0.20/0.50 thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_13])]), ['proof']). 0.20/0.50 # SZS output end CNFRefutation 0.20/0.50 # Parsed axioms : 1 0.20/0.50 # Removed by relevancy pruning/SinE : 0 0.20/0.50 # Initial clauses : 3 0.20/0.50 # Removed in clause preprocessing : 0 0.20/0.50 # Initial clauses in saturation : 3 0.20/0.50 # Processed clauses : 25 0.20/0.50 # ...of these trivial : 4 0.20/0.50 # ...subsumed : 2 0.20/0.50 # ...remaining for further processing : 19 0.20/0.50 # Other redundant clauses eliminated : 0 0.20/0.50 # Clauses deleted for lack of memory : 0 0.20/0.50 # Backward-subsumed : 1 0.20/0.50 # Backward-rewritten : 4 0.20/0.50 # Generated clauses : 58 0.20/0.50 # ...of the previous two non-redundant : 39 0.20/0.50 # ...aggressively subsumed : 0 0.20/0.50 # Contextual simplify-reflections : 0 0.20/0.50 # Paramodulations : 3 0.20/0.50 # Factorizations : 0 0.20/0.50 # NegExts : 2 0.20/0.50 # Equation resolutions : 0 0.20/0.50 # Disequality decompositions : 0 0.20/0.50 # Total rewrite steps : 9 0.20/0.50 # ...of those cached : 7 0.20/0.50 # Propositional unsat checks : 0 0.20/0.50 # Propositional check models : 0 0.20/0.50 # Propositional check unsatisfiable : 0 0.20/0.50 # Propositional clauses : 0 0.20/0.50 # Propositional clauses after purity: 0 0.20/0.50 # Propositional unsat core size : 0 0.20/0.50 # Propositional preprocessing time : 0.000 0.20/0.50 # Propositional encoding time : 0.000 0.20/0.50 # Propositional solver time : 0.000 0.20/0.50 # Success case prop preproc time : 0.000 0.20/0.50 # Success case prop encoding time : 0.000 0.20/0.50 # Success case prop solver time : 0.000 0.20/0.50 # Current number of processed clauses : 8 0.20/0.50 # Positive orientable unit clauses : 2 0.20/0.50 # Positive unorientable unit clauses: 0 0.20/0.50 # Negative unit clauses : 1 0.20/0.50 # Non-unit-clauses : 5 0.20/0.50 # Current number of unprocessed clauses: 17 0.20/0.50 # ...number of literals in the above : 37 0.20/0.50 # Current number of archived formulas : 0 0.20/0.50 # Current number of archived clauses : 11 0.20/0.50 # Clause-clause subsumption calls (NU) : 4 0.20/0.50 # Rec. Clause-clause subsumption calls : 4 0.20/0.50 # Non-unit clause-clause subsumptions : 2 0.20/0.50 # Unit Clause-clause subsumption calls : 3 0.20/0.50 # Rewrite failures with RHS unbound : 0 0.20/0.50 # BW rewrite match attempts : 3 0.20/0.50 # BW rewrite match successes : 2 0.20/0.50 # Condensation attempts : 0 0.20/0.50 # Condensation successes : 0 0.20/0.50 # Termbank termtop insertions : 3769 0.20/0.50 # Search garbage collected termcells : 122 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.004 s 0.20/0.50 # System time : 0.004 s 0.20/0.50 # Total time : 0.008 s 0.20/0.50 # Maximum resident set size: 1836 pages 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.017 s 0.20/0.50 # System time : 0.015 s 0.20/0.50 # Total time : 0.032 s 0.20/0.50 # Maximum resident set size: 1724 pages 0.20/0.50 % E exiting 0.20/0.50 % E exiting 0.20/0.50 EOF