0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n002.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 09:29:28 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.42 Running higher-order theorem proving 0.12/0.44 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.agnZUQsNmH/E---3.1_3167806.p 0.22/0.47 % Version: 3.5.1-ho 0.22/0.47 % Preprocessing class: HSSSSMSSSSMNHHA. 0.22/0.47 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.47 % Starting post_as_ho5 with 900s (5) cores 0.22/0.47 % Starting sh2lt with 180s (1) cores 0.22/0.47 % Starting ehoh_best8_lambda with 180s (1) cores 0.22/0.47 % Starting post_as_ho10 with 180s (1) cores 0.22/0.47 % sh2lt with pid 3167820 completed with status 0 0.22/0.47 % Result found by sh2lt 0.22/0.47 % Preprocessing class: HSSSSMSSSSMNHHA. 0.22/0.47 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.47 % Starting post_as_ho5 with 900s (5) cores 0.22/0.47 % Starting sh2lt with 180s (1) cores 0.22/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.22/0.47 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.22/0.47 % Search class: HGHNF-FFSF00-SHHFFSBN 0.22/0.47 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.22/0.47 % Starting SubtermCWHack with 17s (1) cores 0.22/0.47 % SubtermCWHack with pid 3167828 completed with status 10 0.22/0.47 % Starting sh2lt with 19s (1) cores 0.22/0.47 % sh2lt with pid 3167834 completed with status 0 0.22/0.47 % Result found by sh2lt 0.22/0.47 % Preprocessing class: HSSSSMSSSSMNHHA. 0.22/0.47 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.47 % Starting post_as_ho5 with 900s (5) cores 0.22/0.47 % Starting sh2lt with 180s (1) cores 0.22/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.22/0.47 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.22/0.47 % Search class: HGHNF-FFSF00-SHHFFSBN 0.22/0.47 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.22/0.47 % Starting SubtermCWHack with 17s (1) cores 0.22/0.47 % SubtermCWHack with pid 3167828 completed with status 10 0.22/0.47 % Starting sh2lt with 19s (1) cores 0.22/0.47 % Preprocessing time : 0.001 s 0.22/0.47 % Presaturation interreduction done 0.22/0.47 0.22/0.47 % Proof found! 0.22/0.47 % SZS status Theorem 0.22/0.47 % SZS output start CNFRefutation 0.22/0.47 thf(decl_23, type, cP: $o). 0.22/0.47 thf(decl_24, type, epred1_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.22/0.47 thf(decl_25, type, epred2_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.22/0.47 thf(decl_26, type, epred3_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.22/0.47 thf(decl_27, type, epred4_1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.22/0.47 thf(decl_28, type, epred5_0: $i > $o). 0.22/0.47 thf(decl_29, type, epred6_0: $i > $o). 0.22/0.47 thf(cTHM120J_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[X2:$i]:(((~((cP)))|((cP))))) @ (^[X2:$i]:(((~((cP)))&((cP)))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:(((X1 @ X4 @ X6)<=((X1 @ X4 @ X5)&(X1 @ X5 @ X6)))))), file('/export/starexec/sandbox2/tmp/tmp.agnZUQsNmH/E---3.1_3167806.p', cTHM120J_pme)). 0.22/0.47 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[X2:$i]:(((~((cP)))|((cP))))) @ (^[X2:$i]:(((~((cP)))&((cP)))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:(((X1 @ X4 @ X6)<=((X1 @ X4 @ X5)&(X1 @ X5 @ X6))))))), inference(assume_negation,[status(cth)],[cTHM120J_pme])). 0.22/0.47 thf(c_0_2, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[Z0:$i]:(((~((cP)))|((cP))))) @ (^[Z0:$i]:(((~((cP)))&((cP)))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X5 @ X6))=>(X1 @ X4 @ X6)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])). 0.22/0.47 thf(c_0_3, negated_conjecture, ![X12:($i > $o) > ($i > $o) > $o]:(((((X12 @ (epred2_1 @ X12) @ (epred3_1 @ X12))|((X12 @ (^[Z0:$i]:(((~((cP)))|((cP))))) @ (^[Z0:$i]:(((~((cP)))&((cP))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12))))&((X12 @ (epred3_1 @ X12) @ (epred4_1 @ X12))|((X12 @ (^[Z0:$i]:(((~((cP)))|((cP))))) @ (^[Z0:$i]:(((~((cP)))&((cP))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12)))))&(~(X12 @ (epred2_1 @ X12) @ (epred4_1 @ X12))|((X12 @ (^[Z0:$i]:(((~((cP)))|((cP))))) @ (^[Z0:$i]:(((~((cP)))&((cP))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])). 0.22/0.47 thf(c_0_4, plain, ![X18:$i]:(((epred6_0 @ X18)<=>(~((cP))&(cP)))), introduced(definition)). 0.22/0.47 thf(c_0_5, plain, ![X17:$i]:(((epred5_0 @ X17)<=>(~((cP))|(cP)))), introduced(definition)). 0.22/0.47 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])). 0.22/0.47 thf(c_0_7, plain, ![X24:$i]:(((~(epred5_0 @ X24)|(~(cP)|(cP)))&(((cP)|(epred5_0 @ X24))&(~(cP)|(epred5_0 @ X24))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])). 0.22/0.47 thf(c_0_8, plain, ![X23:$i]:((((~(cP)|~(epred6_0 @ X23))&((cP)|~(epred6_0 @ X23)))&((cP)|~(cP)|(epred6_0 @ X23)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])). 0.22/0.47 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred2_1 @ X1) @ (epred4_1 @ X1)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])). 0.22/0.47 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(cn,[status(thm)],[c_0_6])). 0.22/0.47 thf(c_0_11, plain, ![X2:$i]:(((epred5_0 @ X2)|~((cP)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.22/0.47 thf(c_0_12, plain, ![X2:$i]:(((cP)|(epred5_0 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.22/0.47 thf(c_0_13, plain, ![X2:$i]:(((cP)|~((epred6_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.47 thf(c_0_14, plain, ![X2:$i]:((~((cP))|~((epred6_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.47 thf(c_0_15, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1)))|~((X1 @ (epred2_1 @ X1) @ (epred4_1 @ X1))))), inference(cn,[status(thm)],[c_0_9])). 0.22/0.47 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])). 0.22/0.47 thf(c_0_17, negated_conjecture, (((epred3_1 @ $eq)=(epred2_1 @ $eq))|((epred6_0)=(epred5_0))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])). 0.22/0.47 thf(c_0_18, plain, ![X2:$i]:((epred5_0 @ X2)), inference(csr,[status(thm)],[c_0_11, c_0_12])). 0.22/0.47 thf(c_0_19, plain, ![X2:$i]:(~((epred6_0 @ X2))), inference(csr,[status(thm)],[c_0_13, c_0_14])). 0.22/0.47 thf(c_0_20, negated_conjecture, (((epred6_0)=(epred5_0))|((epred4_1 @ $eq)!=(epred2_1 @ $eq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_15])). 0.22/0.47 thf(c_0_21, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(cn,[status(thm)],[c_0_16])). 0.22/0.47 thf(c_0_22, negated_conjecture, ((epred3_1 @ $eq)=(epred2_1 @ $eq)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_17]), c_0_18]), c_0_19])). 0.22/0.47 thf(c_0_23, negated_conjecture, ((epred4_1 @ $eq)!=(epred2_1 @ $eq)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20]), c_0_18]), c_0_19])). 0.22/0.47 thf(c_0_24, negated_conjecture, ((epred6_0)=(epred5_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_21]), c_0_22]), c_0_23])). 0.22/0.47 thf(c_0_25, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_24]), c_0_18]), c_0_19]), ['proof']). 0.22/0.47 % SZS output end CNFRefutation 0.22/0.47 % Parsed axioms : 2 0.22/0.47 % Removed by relevancy pruning/SinE : 1 0.22/0.47 % Initial clauses : 9 0.22/0.47 % Removed in clause preprocessing : 2 0.22/0.47 % Initial clauses in saturation : 7 0.22/0.47 % Processed clauses : 25 0.22/0.47 % ...of these trivial : 1 0.22/0.47 % ...subsumed : 1 0.22/0.47 % ...remaining for further processing : 23 0.22/0.47 % Other redundant clauses eliminated : 0 0.22/0.47 % Clauses deleted for lack of memory : 0 0.22/0.47 % Backward-subsumed : 4 0.22/0.47 % Backward-rewritten : 3 0.22/0.47 % Generated clauses : 49 0.22/0.47 % ...of the previous two non-redundant : 35 0.22/0.47 % ...aggressively subsumed : 0 0.22/0.47 % Contextual simplify-reflections : 2 0.22/0.47 % Paramodulations : 4 0.22/0.47 % Factorizations : 0 0.22/0.47 % NegExts : 2 0.22/0.47 % Equation resolutions : 0 0.22/0.47 % Disequality decompositions : 0 0.22/0.47 % Total rewrite steps : 10 0.22/0.47 % ...of those cached : 2 0.22/0.47 % Propositional unsat checks : 0 0.22/0.47 % Propositional check models : 0 0.22/0.47 % Propositional check unsatisfiable : 0 0.22/0.47 % Propositional clauses : 0 0.22/0.47 % Propositional clauses after purity: 0 0.22/0.47 % Propositional unsat core size : 0 0.22/0.47 % Propositional preprocessing time : 0.000 0.22/0.47 % Propositional encoding time : 0.000 0.22/0.47 % Propositional solver time : 0.000 0.22/0.47 % Success case prop preproc time : 0.000 0.22/0.47 % Success case prop encoding time : 0.000 0.22/0.47 % Success case prop solver time : 0.000 0.22/0.47 % Current number of processed clauses : 9 0.22/0.47 % Positive orientable unit clauses : 3 0.22/0.47 % Positive unorientable unit clauses: 0 0.22/0.47 % Negative unit clauses : 2 0.22/0.47 % Non-unit-clauses : 4 0.22/0.47 % Current number of unprocessed clauses: 19 0.22/0.47 % ...number of literals in the above : 46 0.22/0.47 % Current number of archived formulas : 0 0.22/0.47 % Current number of archived clauses : 14 0.22/0.47 % Clause-clause subsumption calls (NU) : 5 0.22/0.47 % Rec. Clause-clause subsumption calls : 5 0.22/0.47 % Non-unit clause-clause subsumptions : 2 0.22/0.47 % Unit Clause-clause subsumption calls : 8 0.22/0.47 % Rewrite failures with RHS unbound : 0 0.22/0.47 % BW rewrite match attempts : 4 0.22/0.47 % BW rewrite match successes : 3 0.22/0.47 % Condensation attempts : 0 0.22/0.47 % Condensation successes : 0 0.22/0.47 % Termbank termtop insertions : 4737 0.22/0.47 % Search garbage collected termcells : 179 0.22/0.47 0.22/0.47 % ------------------------------------------------- 0.22/0.47 % User time : 0.007 s 0.22/0.47 % System time : 0.004 s 0.22/0.47 % Total time : 0.011 s 0.22/0.47 % Maximum resident set size: 3632 pages 0.22/0.47 0.22/0.47 % ------------------------------------------------- 0.22/0.47 % User time : 0.008 s 0.22/0.47 % System time : 0.009 s 0.22/0.47 % Total time : 0.017 s 0.22/0.47 % Maximum resident set size: 4864 pages 0.22/0.47 % E exiting 0.22/0.47 EOF