0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n002.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 02:24:34 EDT 2025 0.18/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.48 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.gPXTmum5VF/E---3.1_14621.p 0.19/0.52 # Version: 3.0.0-ho 0.19/0.52 # Preprocessing class: HSSSSMSSSSSNHHA. 0.19/0.52 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting sh2lt with 960s (4) cores 0.19/0.52 # Starting new_ho_10_unif with 240s (1) cores 0.19/0.52 # Starting full_lambda_6 with 240s (1) cores 0.19/0.52 # Starting post_as_ho1 with 240s (1) cores 0.19/0.52 # Starting ehoh_best3_rw with 240s (1) cores 0.19/0.52 # sh2lt with pid 14699 completed with status 0 0.19/0.52 # Result found by sh2lt 0.19/0.52 # Preprocessing class: HSSSSMSSSSSNHHA. 0.19/0.52 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting sh2lt with 960s (4) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.52 # Search class: HGHNF-FFSF11-SHHFFMBN 0.19/0.52 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 0.19/0.52 # Starting ehoh_best_nonlift with 519s (1) cores 0.19/0.52 # Starting sh2lt with 97s (1) cores 0.19/0.52 # Starting ehoh_best_sine_rwall with 87s (1) cores 0.19/0.52 # Starting lpo1_def_fix with 87s (1) cores 0.19/0.52 # sh2lt with pid 14706 completed with status 0 0.19/0.52 # Result found by sh2lt 0.19/0.52 # Preprocessing class: HSSSSMSSSSSNHHA. 0.19/0.52 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting sh2lt with 960s (4) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.19/0.52 # Search class: HGHNF-FFSF11-SHHFFMBN 0.19/0.52 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 0.19/0.52 # Starting ehoh_best_nonlift with 519s (1) cores 0.19/0.52 # Starting sh2lt with 97s (1) cores 0.19/0.52 # Preprocessing time : 0.001 s 0.19/0.52 # Presaturation interreduction done 0.19/0.52 0.19/0.52 # Proof found! 0.19/0.52 # SZS status Theorem 0.19/0.52 # SZS output start CNFRefutation 0.19/0.52 thf(decl_23, type, epred1_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(decl_24, type, epred2_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(decl_25, type, esk1_1: (($i > $o) > ($i > $o) > $o) > $i). 0.19/0.52 thf(decl_26, type, epred3_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(decl_27, type, epred4_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(decl_28, type, epred5_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(decl_29, type, epred6_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.52 thf(cTHM120I_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $o]:(((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X3 @ X4)<=>(X2 @ X4)))<=((X1 @ X2 @ X3)&(X1 @ X3 @ X2))))&![X5:$i > $o, X6:$i > $o, X7:$i > $o]:(((X1 @ X5 @ X7)<=((X1 @ X6 @ X7)&(X1 @ X5 @ X6)))))&![X8:$i > $o]:((X1 @ X8 @ X8)))), file('/export/starexec/sandbox2/tmp/tmp.gPXTmum5VF/E---3.1_14621.p', cTHM120I_pme)). 0.19/0.52 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((![X2:$i > $o, X3:$i > $o]:((((X1 @ X2 @ X3)&(X1 @ X3 @ X2))=>![X4:$i]:(((X3 @ X4)<=>(X2 @ X4)))))&![X5:$i > $o, X6:$i > $o, X7:$i > $o]:((((X1 @ X6 @ X7)&(X1 @ X5 @ X6))=>(X1 @ X5 @ X7))))&![X8:$i > $o]:((X1 @ X8 @ X8))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120I_pme])])). 0.19/0.52 thf(c_0_2, negated_conjecture, ![X17:($i > $o) > ($i > $o) > $o]:(((((((X17 @ (epred4_1 @ X17) @ (epred5_1 @ X17))|(X17 @ (epred1_1 @ X17) @ (epred2_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17)))&((X17 @ (epred3_1 @ X17) @ (epred4_1 @ X17))|(X17 @ (epred1_1 @ X17) @ (epred2_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&(~(X17 @ (epred3_1 @ X17) @ (epred5_1 @ X17))|(X17 @ (epred1_1 @ X17) @ (epred2_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&((((X17 @ (epred4_1 @ X17) @ (epred5_1 @ X17))|(X17 @ (epred2_1 @ X17) @ (epred1_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17)))&((X17 @ (epred3_1 @ X17) @ (epred4_1 @ X17))|(X17 @ (epred2_1 @ X17) @ (epred1_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&(~(X17 @ (epred3_1 @ X17) @ (epred5_1 @ X17))|(X17 @ (epred2_1 @ X17) @ (epred1_1 @ X17))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17)))))&(((((X17 @ (epred4_1 @ X17) @ (epred5_1 @ X17))|(~(epred2_1 @ X17 @ (esk1_1 @ X17))|~(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17)))&((X17 @ (epred3_1 @ X17) @ (epred4_1 @ X17))|(~(epred2_1 @ X17 @ (esk1_1 @ X17))|~(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&(~(X17 @ (epred3_1 @ X17) @ (epred5_1 @ X17))|(~(epred2_1 @ X17 @ (esk1_1 @ X17))|~(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&((((X17 @ (epred4_1 @ X17) @ (epred5_1 @ X17))|((epred2_1 @ X17 @ (esk1_1 @ X17))|(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17)))&((X17 @ (epred3_1 @ X17) @ (epred4_1 @ X17))|((epred2_1 @ X17 @ (esk1_1 @ X17))|(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))&(~(X17 @ (epred3_1 @ X17) @ (epred5_1 @ X17))|((epred2_1 @ X17 @ (esk1_1 @ X17))|(epred1_1 @ X17 @ (esk1_1 @ X17)))|~(X17 @ (epred6_1 @ X17) @ (epred6_1 @ X17))))))), 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])])])])])). 0.19/0.52 thf(c_0_3, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred4_1 @ X1) @ (epred5_1 @ X1))|(X1 @ (epred1_1 @ X1) @ (epred2_1 @ X1))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(X1 @ (epred1_1 @ X1) @ (epred2_1 @ X1))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_5, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred1_1 @ X1))|~((X1 @ (epred3_1 @ X1) @ (epred5_1 @ X1)))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_6, negated_conjecture, (((epred5_1 @ $eq)=(epred4_1 @ $eq))|((epred1_1 @ $eq)=(epred2_1 @ $eq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_3])). 0.19/0.52 thf(c_0_7, negated_conjecture, (((epred4_1 @ $eq)=(epred3_1 @ $eq))|((epred1_1 @ $eq)=(epred2_1 @ $eq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_4])). 0.19/0.52 thf(c_0_8, negated_conjecture, ((epred1_1 @ $eq)=(epred2_1 @ $eq)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6])])]), c_0_7])). 0.19/0.52 thf(c_0_9, negated_conjecture, ![X50:$i]:(((epred1_1 @ $eq @ X50)<=>(epred2_1 @ $eq @ X50))), inference(arg_cong,[status(thm)],[c_0_8])). 0.19/0.52 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:((~((X1 @ (epred3_1 @ X1) @ (epred5_1 @ X1)))|~((epred2_1 @ X1 @ (esk1_1 @ X1)))|~((epred1_1 @ X1 @ (esk1_1 @ X1)))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_11, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|~((epred2_1 @ X1 @ (esk1_1 @ X1)))|~((epred1_1 @ X1 @ (esk1_1 @ X1)))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_12, negated_conjecture, ![X4:$i]:(((epred2_1 @ $eq @ X4)|~((epred1_1 @ $eq @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_9])). 0.19/0.52 thf(c_0_13, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((epred2_1 @ X1 @ (esk1_1 @ X1))|(epred1_1 @ X1 @ (esk1_1 @ X1))|~((X1 @ (epred3_1 @ X1) @ (epred5_1 @ X1)))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_14, negated_conjecture, ![X4:$i]:(((epred1_1 @ $eq @ X4)|~((epred2_1 @ $eq @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_9])). 0.19/0.52 thf(c_0_15, negated_conjecture, (((epred5_1 @ $eq)!=(epred3_1 @ $eq))|~((epred1_1 @ $eq @ (esk1_1 @ $eq)))|~((epred2_1 @ $eq @ (esk1_1 @ $eq)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])). 0.19/0.52 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred4_1 @ X1) @ (epred5_1 @ X1))|~((epred2_1 @ X1 @ (esk1_1 @ X1)))|~((epred1_1 @ X1 @ (esk1_1 @ X1)))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_17, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(epred2_1 @ X1 @ (esk1_1 @ X1))|(epred1_1 @ X1 @ (esk1_1 @ X1))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_18, negated_conjecture, (((epred4_1 @ $eq)=(epred3_1 @ $eq))|~((epred1_1 @ $eq @ (esk1_1 @ $eq)))), inference(csr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_11]), c_0_12])). 0.19/0.52 thf(c_0_19, negated_conjecture, ((epred1_1 @ $eq @ (esk1_1 @ $eq))|((epred5_1 @ $eq)!=(epred3_1 @ $eq))), inference(csr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_13]), c_0_14])). 0.19/0.52 thf(c_0_20, negated_conjecture, (((epred5_1 @ $eq)!=(epred3_1 @ $eq))|~((epred2_1 @ $eq @ (esk1_1 @ $eq)))), inference(spm,[status(thm)],[c_0_15, c_0_14])). 0.19/0.52 thf(c_0_21, negated_conjecture, (((epred5_1 @ $eq)=(epred4_1 @ $eq))|~((epred1_1 @ $eq @ (esk1_1 @ $eq)))), inference(csr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_16]), c_0_12])). 0.19/0.52 thf(c_0_22, negated_conjecture, ((epred4_1 @ $eq)=(epred3_1 @ $eq)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_17]), c_0_14]), c_0_18])). 0.19/0.52 thf(c_0_23, negated_conjecture, ((epred5_1 @ $eq)!=(epred3_1 @ $eq)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_19]), c_0_20])). 0.19/0.52 thf(c_0_24, negated_conjecture, (((epred5_1 @ $eq)=(epred4_1 @ $eq))|~((epred2_1 @ $eq @ (esk1_1 @ $eq)))), inference(spm,[status(thm)],[c_0_21, c_0_14])). 0.19/0.52 thf(c_0_25, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred4_1 @ X1) @ (epred5_1 @ X1))|(epred2_1 @ X1 @ (esk1_1 @ X1))|(epred1_1 @ X1 @ (esk1_1 @ X1))|~((X1 @ (epred6_1 @ X1) @ (epred6_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.19/0.52 thf(c_0_26, negated_conjecture, ~((epred1_1 @ $eq @ (esk1_1 @ $eq))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23])). 0.19/0.52 thf(c_0_27, negated_conjecture, ~((epred2_1 @ $eq @ (esk1_1 @ $eq))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_22]), c_0_23])). 0.19/0.52 thf(c_0_28, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_25]), c_0_22]), c_0_23]), c_0_26]), c_0_27]), ['proof']). 0.19/0.52 # SZS output end CNFRefutation 0.19/0.52 # Parsed axioms : 1 0.19/0.52 # Removed by relevancy pruning/SinE : 0 0.19/0.52 # Initial clauses : 12 0.19/0.52 # Removed in clause preprocessing : 0 0.19/0.52 # Initial clauses in saturation : 12 0.19/0.52 # Processed clauses : 180 0.19/0.52 # ...of these trivial : 9 0.19/0.52 # ...subsumed : 35 0.19/0.52 # ...remaining for further processing : 135 0.19/0.52 # Other redundant clauses eliminated : 0 0.19/0.52 # Clauses deleted for lack of memory : 0 0.19/0.52 # Backward-subsumed : 41 0.19/0.52 # Backward-rewritten : 14 0.19/0.52 # Generated clauses : 291 0.19/0.52 # ...of the previous two non-redundant : 218 0.19/0.52 # ...aggressively subsumed : 0 0.19/0.52 # Contextual simplify-reflections : 7 0.19/0.52 # Paramodulations : 90 0.19/0.52 # Factorizations : 0 0.19/0.52 # NegExts : 7 0.19/0.52 # Equation resolutions : 0 0.19/0.52 # Disequality decompositions : 0 0.19/0.52 # Total rewrite steps : 24 0.19/0.52 # ...of those cached : 22 0.19/0.52 # Propositional unsat checks : 0 0.19/0.52 # Propositional check models : 0 0.19/0.52 # Propositional check unsatisfiable : 0 0.19/0.52 # Propositional clauses : 0 0.19/0.52 # Propositional clauses after purity: 0 0.19/0.52 # Propositional unsat core size : 0 0.19/0.52 # Propositional preprocessing time : 0.000 0.19/0.52 # Propositional encoding time : 0.000 0.19/0.52 # Propositional solver time : 0.000 0.19/0.52 # Success case prop preproc time : 0.000 0.19/0.52 # Success case prop encoding time : 0.000 0.19/0.52 # Success case prop solver time : 0.000 0.19/0.52 # Current number of processed clauses : 34 0.19/0.52 # Positive orientable unit clauses : 2 0.19/0.52 # Positive unorientable unit clauses: 0 0.19/0.52 # Negative unit clauses : 3 0.19/0.52 # Non-unit-clauses : 29 0.19/0.52 # Current number of unprocessed clauses: 53 0.19/0.52 # ...number of literals in the above : 211 0.19/0.52 # Current number of archived formulas : 0 0.19/0.52 # Current number of archived clauses : 101 0.19/0.52 # Clause-clause subsumption calls (NU) : 606 0.19/0.52 # Rec. Clause-clause subsumption calls : 303 0.19/0.52 # Non-unit clause-clause subsumptions : 62 0.19/0.52 # Unit Clause-clause subsumption calls : 58 0.19/0.52 # Rewrite failures with RHS unbound : 0 0.19/0.52 # BW rewrite match attempts : 2 0.19/0.52 # BW rewrite match successes : 2 0.19/0.52 # Condensation attempts : 0 0.19/0.52 # Condensation successes : 0 0.19/0.52 # Termbank termtop insertions : 63827 0.19/0.52 # Search garbage collected termcells : 256 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.028 s 0.19/0.52 # System time : 0.007 s 0.19/0.52 # Total time : 0.035 s 0.19/0.52 # Maximum resident set size: 1868 pages 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.120 s 0.19/0.52 # System time : 0.016 s 0.19/0.52 # Total time : 0.136 s 0.19/0.52 # Maximum resident set size: 1716 pages 0.19/0.52 % E exiting 0.19/0.52 % E exiting 0.19/0.52 EOF