0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.36 % Computer : n018.cluster.edu 0.10/0.36 % Model : x86_64 x86_64 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.36 % Memory : 8046.5625MB 0.10/0.36 % OS : Linux 6.8.0-71-generic 0.10/0.36 % CPULimit : 1440 0.10/0.36 % WCLimit : 180 0.10/0.36 % DateTime : Mon Jul 27 10:14:38 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.41 Running higher-order theorem proving 0.20/0.47 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.0pPtWDERwe/E---3.1_1174064.p 0.20/0.56 % Version: 3.5.1-ho 0.20/0.56 % Preprocessing class: HSLMSMSMSSMNHSA. 0.20/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.56 % Starting new_ho_10 with 900s (5) cores 0.20/0.56 % Starting full_lambda_7 with 180s (1) cores 0.20/0.56 % Starting new_ho_4 with 180s (1) cores 0.20/0.56 % Starting lpo5_fix with 180s (1) cores 0.20/0.56 % full_lambda_7 with pid 1174078 completed with status 0 0.20/0.56 % Result found by full_lambda_7 0.20/0.56 % Preprocessing class: HSLMSMSMSSMNHSA. 0.20/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.56 % Starting new_ho_10 with 900s (5) cores 0.20/0.56 % Starting full_lambda_7 with 180s (1) cores 0.20/0.56 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)) 0.20/0.56 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true) 0.20/0.56 % Search class: HGUSM-FSLM31-DHSFFMBN 0.20/0.56 % partial match(1): HGUSM-FSLM31-DHSFFFBN 0.20/0.56 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.20/0.56 % Starting SubtermCWHack with 17s (1) cores 0.20/0.56 % SubtermCWHack with pid 1174081 completed with status 0 0.20/0.56 % Result found by SubtermCWHack 0.20/0.56 % Preprocessing class: HSLMSMSMSSMNHSA. 0.20/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.56 % Starting new_ho_10 with 900s (5) cores 0.20/0.56 % Starting full_lambda_7 with 180s (1) cores 0.20/0.56 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)) 0.20/0.56 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true) 0.20/0.56 % Search class: HGUSM-FSLM31-DHSFFMBN 0.20/0.56 % partial match(1): HGUSM-FSLM31-DHSFFFBN 0.20/0.56 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.20/0.56 % Starting SubtermCWHack with 17s (1) cores 0.20/0.56 % Preprocessing time : 0.006 s 0.20/0.56 0.20/0.56 % Proof found! 0.20/0.56 % SZS status Theorem 0.20/0.56 % SZS output start CNFRefutation 0.20/0.56 thf(decl_sort1, type, paraco1605129243lle_tv: $tType). 0.20/0.56 thf(decl_sort2, type, list_char: $tType). 0.20/0.56 thf(decl_sort3, type, paraco1604210848lle_fm: $tType). 0.20/0.56 thf(decl_58, type, paraco1325918602e_eval: (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > paraco1605129243lle_tv). 0.20/0.56 thf(decl_59, type, paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm). 0.20/0.56 thf(decl_65, type, paraco1344940915le_Det: $o > paraco1605129243lle_tv). 0.20/0.56 thf(decl_184, type, i: list_char > paraco1605129243lle_tv). 0.20/0.56 thf(decl_185, type, p1: paraco1604210848lle_fm). 0.20/0.56 thf(decl_186, type, p2: paraco1604210848lle_fm). 0.20/0.56 thf(conj_0, conjecture, ((paraco1325918602e_eval @ i @ (paraco69239110le_Con @ p1 @ p2))=(paraco1325918602e_eval @ i @ p1)), file('/export/starexec/sandbox2/tmp/tmp.0pPtWDERwe/E---3.1_1174064.p', conj_0)). 0.20/0.56 thf(fact_5_eval_Osimps_I4_J, axiom, ![X81:list_char > paraco1605129243lle_tv, X82:paraco1604210848lle_fm, X83:paraco1604210848lle_fm]:(((((paraco1325918602e_eval @ X81 @ X82)=(paraco1325918602e_eval @ X81 @ X83))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X82)))&(((paraco1325918602e_eval @ X81 @ X82)!=(paraco1325918602e_eval @ X81 @ X83))=>((((paraco1325918602e_eval @ X81 @ X82)=(paraco1344940915le_Det @ (($true))))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X83)))&(((((paraco1325918602e_eval @ X81 @ X83)!=(paraco1344940915le_Det @ (($true))))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1344940915le_Det @ (~($true)))))&(((paraco1325918602e_eval @ X81 @ X83)=(paraco1344940915le_Det @ (($true))))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X82))))<=((paraco1325918602e_eval @ X81 @ X82)!=(paraco1344940915le_Det @ (($true))))))))), file('/export/starexec/sandbox2/tmp/tmp.0pPtWDERwe/E---3.1_1174064.p', fact_5_eval_Osimps_I4_J)). 0.20/0.56 thf(fact_0_a_H_H, axiom, ((paraco1325918602e_eval @ i @ p1)!=(paraco1344940915le_Det @ (($true)))), file('/export/starexec/sandbox2/tmp/tmp.0pPtWDERwe/E---3.1_1174064.p', fact_0_a_H_H)). 0.20/0.56 thf(fact_1_a, axiom, ((paraco1325918602e_eval @ i @ p2)=(paraco1344940915le_Det @ (($true)))), file('/export/starexec/sandbox2/tmp/tmp.0pPtWDERwe/E---3.1_1174064.p', fact_1_a)). 0.20/0.56 thf(c_0_4, negated_conjecture, ~(((paraco1325918602e_eval @ i @ (paraco69239110le_Con @ p1 @ p2))=(paraco1325918602e_eval @ i @ p1))), inference(assume_negation,[status(cth)],[conj_0])). 0.20/0.56 thf(c_0_5, plain, ![X81:list_char > paraco1605129243lle_tv, X82:paraco1604210848lle_fm, X83:paraco1604210848lle_fm]:(((((paraco1325918602e_eval @ X81 @ X82)=(paraco1325918602e_eval @ X81 @ X83))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X82)))&(((paraco1325918602e_eval @ X81 @ X82)!=(paraco1325918602e_eval @ X81 @ X83))=>((((paraco1325918602e_eval @ X81 @ X82)=(paraco1344940915le_Det @ $true))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X83)))&(((paraco1325918602e_eval @ X81 @ X82)!=(paraco1344940915le_Det @ $true))=>((((paraco1325918602e_eval @ X81 @ X83)!=(paraco1344940915le_Det @ $true))=>((~(~($true))|((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1344940915le_Det @ $true)))&(~($true)|((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1344940915le_Det @ $false)))))&(((paraco1325918602e_eval @ X81 @ X83)=(paraco1344940915le_Det @ $true))=>((paraco1325918602e_eval @ X81 @ (paraco69239110le_Con @ X82 @ X83))=(paraco1325918602e_eval @ X81 @ X82))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[fact_5_eval_Osimps_I4_J])])). 0.20/0.56 thf(c_0_6, negated_conjecture, ((paraco1325918602e_eval @ i @ (paraco69239110le_Con @ p1 @ p2))!=(paraco1325918602e_eval @ i @ p1)), inference(fof_simplification,[status(thm)],[c_0_4])). 0.20/0.56 thf(c_0_7, plain, ![X1116:list_char > paraco1605129243lle_tv, X1117:paraco1604210848lle_fm, X1118:paraco1604210848lle_fm]:(((((paraco1325918602e_eval @ X1116 @ X1117)!=(paraco1325918602e_eval @ X1116 @ X1118))|((paraco1325918602e_eval @ X1116 @ (paraco69239110le_Con @ X1117 @ X1118))=(paraco1325918602e_eval @ X1116 @ X1117)))&((((paraco1325918602e_eval @ X1116 @ X1117)!=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ (paraco69239110le_Con @ X1117 @ X1118))=(paraco1325918602e_eval @ X1116 @ X1118))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1325918602e_eval @ X1116 @ X1118)))&(((($true)|((paraco1325918602e_eval @ X1116 @ (paraco69239110le_Con @ X1117 @ X1118))=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1118)=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1325918602e_eval @ X1116 @ X1118)))&(~($true)|((paraco1325918602e_eval @ X1116 @ (paraco69239110le_Con @ X1117 @ X1118))=(paraco1344940915le_Det @ $false))|((paraco1325918602e_eval @ X1116 @ X1118)=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1325918602e_eval @ X1116 @ X1118))))&(((paraco1325918602e_eval @ X1116 @ X1118)!=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ (paraco69239110le_Con @ X1117 @ X1118))=(paraco1325918602e_eval @ X1116 @ X1117))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1344940915le_Det @ $true))|((paraco1325918602e_eval @ X1116 @ X1117)=(paraco1325918602e_eval @ X1116 @ X1118))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.20/0.56 thf(c_0_8, plain, ((paraco1325918602e_eval @ i @ p1)!=(paraco1344940915le_Det @ $true)), inference(fof_simplification,[status(thm)],[fact_0_a_H_H])). 0.20/0.56 thf(c_0_9, negated_conjecture, ((paraco1325918602e_eval @ i @ (paraco69239110le_Con @ p1 @ p2))!=(paraco1325918602e_eval @ i @ p1)), inference(fof_nnf,[status(thm)],[c_0_6])). 0.20/0.56 thf(c_0_10, plain, ![X8:list_char > paraco1605129243lle_tv, X14:paraco1604210848lle_fm, X9:paraco1604210848lle_fm]:((((paraco1325918602e_eval @ X8 @ (paraco69239110le_Con @ X14 @ X9))=(paraco1325918602e_eval @ X8 @ X14))|((paraco1325918602e_eval @ X8 @ X14)=(paraco1344940915le_Det @ (($true))))|((paraco1325918602e_eval @ X8 @ X14)=(paraco1325918602e_eval @ X8 @ X9))|((paraco1325918602e_eval @ X8 @ X9)!=(paraco1344940915le_Det @ (($true)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.56 thf(c_0_11, plain, ![X8:list_char > paraco1605129243lle_tv, X9:paraco1604210848lle_fm, X14:paraco1604210848lle_fm]:((((paraco1325918602e_eval @ X8 @ (paraco69239110le_Con @ X9 @ X14))=(paraco1325918602e_eval @ X8 @ X9))|((paraco1325918602e_eval @ X8 @ X9)!=(paraco1325918602e_eval @ X8 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.56 thf(c_0_12, plain, ((paraco1325918602e_eval @ i @ p1)!=(paraco1344940915le_Det @ $true)), inference(fof_nnf,[status(thm)],[c_0_8])). 0.20/0.56 thf(c_0_13, negated_conjecture, ((paraco1325918602e_eval @ i @ (paraco69239110le_Con @ p1 @ p2))!=(paraco1325918602e_eval @ i @ p1)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.20/0.56 thf(c_0_14, plain, ![X8:list_char > paraco1605129243lle_tv, X9:paraco1604210848lle_fm, X14:paraco1604210848lle_fm]:((((paraco1325918602e_eval @ X8 @ (paraco69239110le_Con @ X9 @ X14))=(paraco1325918602e_eval @ X8 @ X9))|((paraco1325918602e_eval @ X8 @ X9)=(paraco1344940915le_Det @ (($true))))|((paraco1325918602e_eval @ X8 @ X14)!=(paraco1344940915le_Det @ (($true)))))), inference(csr,[status(thm)],[c_0_10, c_0_11])). 0.20/0.56 thf(c_0_15, plain, ((paraco1325918602e_eval @ i @ p2)=(paraco1344940915le_Det @ (($true)))), inference(split_conjunct,[status(thm)],[fact_1_a])). 0.20/0.56 thf(c_0_16, plain, ((paraco1325918602e_eval @ i @ p1)!=(paraco1344940915le_Det @ (($true)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.20/0.56 thf(c_0_17, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16]), ['proof']). 0.20/0.56 % SZS output end CNFRefutation 0.20/0.56 % Parsed axioms : 558 0.20/0.56 % Removed by relevancy pruning/SinE : 457 0.20/0.56 % Initial clauses : 320 0.20/0.56 % Removed in clause preprocessing : 42 0.20/0.56 % Initial clauses in saturation : 278 0.20/0.56 % Processed clauses : 396 0.20/0.56 % ...of these trivial : 22 0.20/0.56 % ...subsumed : 157 0.20/0.56 % ...remaining for further processing : 217 0.20/0.56 % Other redundant clauses eliminated : 42 0.20/0.56 % Clauses deleted for lack of memory : 0 0.20/0.56 % Backward-subsumed : 1 0.20/0.56 % Backward-rewritten : 31 0.20/0.56 % Generated clauses : 975 0.20/0.56 % ...of the previous two non-redundant : 704 0.20/0.56 % ...aggressively subsumed : 0 0.20/0.56 % Contextual simplify-reflections : 3 0.20/0.56 % Paramodulations : 863 0.20/0.56 % Factorizations : 32 0.20/0.56 % NegExts : 0 0.20/0.56 % Equation resolutions : 67 0.20/0.56 % Disequality decompositions : 0 0.20/0.56 % Total rewrite steps : 254 0.20/0.56 % ...of those cached : 169 0.20/0.56 % Propositional unsat checks : 0 0.20/0.56 % Propositional check models : 0 0.20/0.56 % Propositional check unsatisfiable : 0 0.20/0.56 % Propositional clauses : 0 0.20/0.56 % Propositional clauses after purity: 0 0.20/0.56 % Propositional unsat core size : 0 0.20/0.56 % Propositional preprocessing time : 0.000 0.20/0.56 % Propositional encoding time : 0.000 0.20/0.56 % Propositional solver time : 0.000 0.20/0.56 % Success case prop preproc time : 0.000 0.20/0.56 % Success case prop encoding time : 0.000 0.20/0.56 % Success case prop solver time : 0.000 0.20/0.56 % Current number of processed clauses : 183 0.20/0.56 % Positive orientable unit clauses : 45 0.20/0.56 % Positive unorientable unit clauses: 2 0.20/0.56 % Negative unit clauses : 20 0.20/0.56 % Non-unit-clauses : 116 0.20/0.56 % Current number of unprocessed clauses: 542 0.20/0.56 % ...number of literals in the above : 2443 0.20/0.56 % Current number of archived formulas : 0 0.20/0.56 % Current number of archived clauses : 32 0.20/0.56 % Clause-clause subsumption calls (NU) : 3077 0.20/0.56 % Rec. Clause-clause subsumption calls : 2535 0.20/0.56 % Non-unit clause-clause subsumptions : 75 0.20/0.56 % Unit Clause-clause subsumption calls : 1790 0.20/0.56 % Rewrite failures with RHS unbound : 17 0.20/0.56 % BW rewrite match attempts : 588 0.20/0.56 % BW rewrite match successes : 26 0.20/0.56 % Condensation attempts : 0 0.20/0.56 % Condensation successes : 0 0.20/0.56 % Termbank termtop insertions : 39704 0.20/0.56 % Search garbage collected termcells : 9051 0.20/0.56 0.20/0.56 % ------------------------------------------------- 0.20/0.56 % User time : 0.045 s 0.20/0.56 % System time : 0.010 s 0.20/0.56 % Total time : 0.054 s 0.20/0.56 % Maximum resident set size: 6072 pages 0.20/0.56 0.20/0.56 % ------------------------------------------------- 0.20/0.56 % User time : 0.063 s 0.20/0.56 % System time : 0.015 s 0.20/0.56 % Total time : 0.078 s 0.20/0.56 % Maximum resident set size: 5888 pages 0.20/0.56 % E exiting 0.20/0.57 EOF