0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.18/0.45 % Computer : n021.cluster.edu 0.18/0.45 % Model : x86_64 x86_64 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.45 % Memory : 8046.5625MB 0.18/0.45 % OS : Linux 6.8.0-71-generic 0.18/0.45 % CPULimit : 1440 0.18/0.45 % WCLimit : 180 0.18/0.45 % DateTime : Mon Jul 27 11:49:38 UTC 2026 0.18/0.46 % CPUTime : 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.18/0.51 Running higher-order theorem proving 0.18/0.53 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.qppJhB80Oi/E---3.1_716655.p 60.73/9.46 % Version: 3.5.1-ho 60.73/9.46 % Preprocessing class: HSLSSMSMSSSNHFA. 60.73/9.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 60.73/9.46 % Starting new_ho_10 with 900s (5) cores 60.73/9.46 % Starting new_ho_10_cnf2 with 180s (1) cores 60.73/9.46 % Starting full_lambda_6 with 180s (1) cores 60.73/9.46 % Starting full_lambda_9 with 180s (1) cores 60.73/9.46 % new_ho_10 with pid 716668 completed with status 0 60.73/9.46 % Result found by new_ho_10 60.73/9.46 % Preprocessing class: HSLSSMSMSSSNHFA. 60.73/9.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 60.73/9.46 % Starting new_ho_10 with 900s (5) cores 60.73/9.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 60.73/9.46 % No SInE strategy applied 60.73/9.46 % Search class: HGHSM-FSLM31-MHFFFSBC 60.73/9.46 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 60.73/9.46 % Starting SubtermCWHack with 82s (1) cores 60.73/9.46 % Starting new_ho_10 with 91s (1) cores 60.73/9.46 % Starting almost_fo_4 with 82s (1) cores 60.73/9.46 % Starting new_ho_10_unif with 82s (1) cores 60.73/9.46 % Starting ehoh_best3_fo with 82s (1) cores 60.73/9.46 % ehoh_best3_fo with pid 716676 completed with status 0 60.73/9.46 % Result found by ehoh_best3_fo 60.73/9.46 % Preprocessing class: HSLSSMSMSSSNHFA. 60.73/9.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 60.73/9.46 % Starting new_ho_10 with 900s (5) cores 60.73/9.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 60.73/9.46 % No SInE strategy applied 60.73/9.46 % Search class: HGHSM-FSLM31-MHFFFSBC 60.73/9.46 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 60.73/9.46 % Starting SubtermCWHack with 82s (1) cores 60.73/9.46 % Starting new_ho_10 with 91s (1) cores 60.73/9.46 % Starting almost_fo_4 with 82s (1) cores 60.73/9.46 % Starting new_ho_10_unif with 82s (1) cores 60.73/9.46 % Starting ehoh_best3_fo with 82s (1) cores 60.73/9.46 % Preprocessing time : 0.016 s 60.73/9.46 % Presaturation interreduction done 60.73/9.46 60.73/9.46 % Proof found! 60.73/9.46 % SZS status Theorem 60.73/9.46 % SZS output start CNFRefutation 60.73/9.46 thf(decl_sort1, type, nat: $tType). 60.73/9.46 thf(decl_sort2, type, list_c1059388851t_unit: $tType). 60.73/9.46 thf(decl_47, type, suc: nat > nat). 60.73/9.46 thf(decl_48, type, size_s1406904903t_unit: list_c1059388851t_unit > nat). 60.73/9.46 thf(decl_50, type, ord_less_nat: nat > nat > $o). 60.73/9.46 thf(decl_55, type, fe: nat > list_c1059388851t_unit). 60.73/9.46 thf(decl_58, type, index: nat). 60.73/9.46 thf(decl_61, type, n1: nat). 60.73/9.46 thf(decl_62, type, nMsg: nat). 60.73/9.46 thf(fact_29_less__trans__Suc, axiom, ![X24:nat, X4:nat, X5:nat]:(((ord_less_nat @ X24 @ X4)=>((ord_less_nat @ (suc @ X24) @ X5)<=(ord_less_nat @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', fact_29_less__trans__Suc)). 60.73/9.46 thf(conj_0, conjecture, (ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', conj_0)). 60.73/9.46 thf(fact_41_Suc__lessD, axiom, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ X2)<=(ord_less_nat @ (suc @ X1) @ X2))), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', fact_41_Suc__lessD)). 60.73/9.46 thf(fact_1__092_060open_062nMsg_A_060_Alength_A_Ife_Aindex_J_092_060close_062, axiom, (ord_less_nat @ nMsg @ (size_s1406904903t_unit @ (fe @ index))), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', fact_1__092_060open_062nMsg_A_060_Alength_A_Ife_Aindex_J_092_060close_062)). 60.73/9.46 thf(fact_54_linorder__neqE__nat, axiom, ![X46:nat, X47:nat]:(((~((ord_less_nat @ X46 @ X47))=>(ord_less_nat @ X47 @ X46))<=((X46)!=(X47)))), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', fact_54_linorder__neqE__nat)). 60.73/9.46 thf(fact_0_AssumpGreaterOccurrence_I1_J, axiom, ~((ord_less_nat @ nMsg @ n1)), file('/export/starexec/sandbox2/tmp/tmp.qppJhB80Oi/E---3.1_716655.p', fact_0_AssumpGreaterOccurrence_I1_J)). 60.73/9.46 thf(c_0_6, plain, ![X24:nat, X4:nat, X5:nat]:(((ord_less_nat @ X24 @ X4)=>((ord_less_nat @ X4 @ X5)=>(ord_less_nat @ (suc @ X24) @ X5)))), inference(fof_simplification,[status(thm)],[fact_29_less__trans__Suc])). 60.73/9.46 thf(c_0_7, negated_conjecture, ~((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index)))), inference(assume_negation,[status(cth)],[conj_0])). 60.73/9.46 thf(c_0_8, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ (suc @ X1) @ X2)=>(ord_less_nat @ X1 @ X2))), inference(fof_simplification,[status(thm)],[fact_41_Suc__lessD])). 60.73/9.46 thf(c_0_9, plain, ![X1206:nat, X1207:nat, X1208:nat]:((~(ord_less_nat @ X1206 @ X1207)|(~(ord_less_nat @ X1207 @ X1208)|(ord_less_nat @ (suc @ X1206) @ X1208)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 60.73/9.46 thf(c_0_10, negated_conjecture, ~(ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))), inference(fof_simplification,[status(thm)],[c_0_7])). 60.73/9.46 thf(c_0_11, plain, ![X900:nat, X901:nat]:((~(ord_less_nat @ (suc @ X900) @ X901)|(ord_less_nat @ X900 @ X901))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 60.73/9.46 thf(c_0_12, plain, ![X1:nat, X2:nat, X3:nat]:(((ord_less_nat @ (suc @ X1) @ X3)|~((ord_less_nat @ X1 @ X2))|~((ord_less_nat @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])). 60.73/9.46 thf(c_0_13, plain, (ord_less_nat @ nMsg @ (size_s1406904903t_unit @ (fe @ index))), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062nMsg_A_060_Alength_A_Ife_Aindex_J_092_060close_062])). 60.73/9.46 thf(c_0_14, negated_conjecture, ~(ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))), inference(fof_nnf,[status(thm)],[c_0_10])). 60.73/9.46 thf(c_0_15, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ X2)|~((ord_less_nat @ (suc @ X1) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_11])). 60.73/9.46 thf(c_0_16, plain, ![X1:nat]:(((ord_less_nat @ (suc @ X1) @ (size_s1406904903t_unit @ (fe @ index)))|~((ord_less_nat @ X1 @ nMsg)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 60.73/9.46 thf(c_0_17, plain, ![X46:nat, X47:nat]:((((X46)!=(X47))=>(~(ord_less_nat @ X46 @ X47)=>(ord_less_nat @ X47 @ X46)))), inference(fof_simplification,[status(thm)],[fact_54_linorder__neqE__nat])). 60.73/9.46 thf(c_0_18, plain, ~(ord_less_nat @ nMsg @ n1), inference(fof_simplification,[status(thm)],[fact_0_AssumpGreaterOccurrence_I1_J])). 60.73/9.46 thf(c_0_19, negated_conjecture, ~((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index)))), inference(split_conjunct,[status(thm)],[c_0_14])). 60.73/9.46 thf(c_0_20, plain, ![X1:nat]:(((ord_less_nat @ X1 @ (size_s1406904903t_unit @ (fe @ index)))|~((ord_less_nat @ X1 @ nMsg)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 60.73/9.46 thf(c_0_21, plain, ![X844:nat, X845:nat]:((((X844)=(X845))|((ord_less_nat @ X844 @ X845)|(ord_less_nat @ X845 @ X844)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])). 60.73/9.46 thf(c_0_22, plain, ~(ord_less_nat @ nMsg @ n1), inference(fof_nnf,[status(thm)],[c_0_18])). 60.73/9.46 thf(c_0_23, negated_conjecture, ~((ord_less_nat @ n1 @ nMsg)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 60.73/9.46 thf(c_0_24, plain, ![X2:nat, X1:nat]:((((X1)=(X2))|(ord_less_nat @ X1 @ X2)|(ord_less_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_21])). 60.73/9.46 thf(c_0_25, plain, ~((ord_less_nat @ nMsg @ n1)), inference(split_conjunct,[status(thm)],[c_0_22])). 60.73/9.46 thf(c_0_26, negated_conjecture, ((n1)=(nMsg)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])). 60.73/9.46 thf(c_0_27, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_26]), c_0_13])]), ['proof']). 60.73/9.46 % SZS output end CNFRefutation 60.73/9.46 % Parsed axioms : 309 60.73/9.46 % Removed by relevancy pruning/SinE : 0 60.73/9.46 % Initial clauses : 491 60.73/9.46 % Removed in clause preprocessing : 67 60.73/9.46 % Initial clauses in saturation : 424 60.73/9.46 % Processed clauses : 12475 60.73/9.46 % ...of these trivial : 327 60.73/9.46 % ...subsumed : 9446 60.73/9.46 % ...remaining for further processing : 2702 60.73/9.46 % Other redundant clauses eliminated : 588 60.73/9.46 % Clauses deleted for lack of memory : 0 60.73/9.46 % Backward-subsumed : 53 60.73/9.46 % Backward-rewritten : 220 60.73/9.46 % Generated clauses : 195319 60.73/9.46 % ...of the previous two non-redundant : 166170 60.73/9.46 % ...aggressively subsumed : 0 60.73/9.46 % Contextual simplify-reflections : 33 60.73/9.46 % Paramodulations : 194059 60.73/9.46 % Factorizations : 31 60.73/9.46 % NegExts : 0 60.73/9.46 % Equation resolutions : 594 60.73/9.46 % Disequality decompositions : 0 60.73/9.46 % Total rewrite steps : 68674 60.73/9.46 % ...of those cached : 63504 60.73/9.46 % Propositional unsat checks : 0 60.73/9.46 % Propositional check models : 0 60.73/9.46 % Propositional check unsatisfiable : 0 60.73/9.46 % Propositional clauses : 0 60.73/9.46 % Propositional clauses after purity: 0 60.73/9.46 % Propositional unsat core size : 0 60.73/9.46 % Propositional preprocessing time : 0.000 60.73/9.46 % Propositional encoding time : 0.000 60.73/9.46 % Propositional solver time : 0.000 60.73/9.46 % Success case prop preproc time : 0.000 60.73/9.46 % Success case prop encoding time : 0.000 60.73/9.46 % Success case prop solver time : 0.000 60.73/9.46 % Current number of processed clauses : 2050 60.73/9.46 % Positive orientable unit clauses : 401 60.73/9.46 % Positive unorientable unit clauses: 10 60.73/9.46 % Negative unit clauses : 170 60.73/9.46 % Non-unit-clauses : 1469 60.73/9.46 % Current number of unprocessed clauses: 153538 60.73/9.46 % ...number of literals in the above : 444292 60.73/9.46 % Current number of archived formulas : 0 60.73/9.46 % Current number of archived clauses : 609 60.73/9.46 % Clause-clause subsumption calls (NU) : 405158 60.73/9.46 % Rec. Clause-clause subsumption calls : 256880 60.73/9.46 % Non-unit clause-clause subsumptions : 4087 60.73/9.46 % Unit Clause-clause subsumption calls : 69991 60.73/9.46 % Rewrite failures with RHS unbound : 0 60.73/9.46 % BW rewrite match attempts : 10050 60.73/9.46 % BW rewrite match successes : 2186 60.73/9.46 % Condensation attempts : 0 60.73/9.46 % Condensation successes : 0 60.73/9.46 % Termbank termtop insertions : 6451720 60.73/9.46 % Search garbage collected termcells : 9833 60.73/9.46 60.73/9.46 % ------------------------------------------------- 60.73/9.46 % User time : 8.466 s 60.73/9.46 % System time : 0.206 s 60.73/9.46 % Total time : 8.672 s 60.73/9.46 % Maximum resident set size: 5624 pages 60.73/9.46 60.73/9.46 % ------------------------------------------------- 60.73/9.46 % User time : 41.423 s 60.73/9.46 % System time : 1.314 s 60.73/9.46 % Total time : 42.737 s 60.73/9.46 % Maximum resident set size: 5120 pages 60.73/9.46 % E exiting 60.73/9.47 EOF