0.00/0.02 % 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 : n012.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 12:16:48 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.40 Running higher-order theorem proving 0.10/0.43 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.1HjNNZr4a6/E---3.1_2009637.p 1.98/0.70 % Version: 3.5.1-ho 1.98/0.70 % Preprocessing class: HSLSSMSMSSSNHFA. 1.98/0.70 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.98/0.70 % Starting new_ho_10 with 900s (5) cores 1.98/0.70 % Starting new_ho_10_cnf2 with 180s (1) cores 1.98/0.70 % Starting full_lambda_6 with 180s (1) cores 1.98/0.70 % Starting full_lambda_9 with 180s (1) cores 1.98/0.70 % new_ho_10 with pid 2009652 completed with status 0 1.98/0.70 % Result found by new_ho_10 1.98/0.70 % Preprocessing class: HSLSSMSMSSSNHFA. 1.98/0.70 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.98/0.70 % Starting new_ho_10 with 900s (5) cores 1.98/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 1.98/0.70 % No SInE strategy applied 1.98/0.70 % Search class: HGHSM-FSLM32-MHFFFSBC 1.98/0.70 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 1.98/0.70 % Starting SubtermCWHack with 82s (1) cores 1.98/0.70 % Starting new_ho_10 with 91s (1) cores 1.98/0.70 % Starting lpo6_lambda_fix with 82s (1) cores 1.98/0.70 % Starting new_ho_3 with 82s (1) cores 1.98/0.70 % Starting sh3 with 82s (1) cores 1.98/0.70 % new_ho_10 with pid 2009660 completed with status 0 1.98/0.70 % Result found by new_ho_10 1.98/0.70 % Preprocessing class: HSLSSMSMSSSNHFA. 1.98/0.70 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.98/0.70 % Starting new_ho_10 with 900s (5) cores 1.98/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 1.98/0.70 % No SInE strategy applied 1.98/0.70 % Search class: HGHSM-FSLM32-MHFFFSBC 1.98/0.70 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 1.98/0.70 % Starting SubtermCWHack with 82s (1) cores 1.98/0.70 % Starting new_ho_10 with 91s (1) cores 1.98/0.70 % Preprocessing time : 0.007 s 1.98/0.70 % Presaturation interreduction done 1.98/0.70 1.98/0.70 % Proof found! 1.98/0.70 % SZS status Theorem 1.98/0.70 % SZS output start CNFRefutation 1.98/0.70 thf(decl_sort1, type, nat: $tType). 1.98/0.70 thf(decl_sort2, type, list_c1059388851t_unit: $tType). 1.98/0.70 thf(decl_27, type, minus_minus_nat: nat > nat > nat). 1.98/0.70 thf(decl_28, type, one_one_nat: nat). 1.98/0.70 thf(decl_34, type, suc: nat > nat). 1.98/0.70 thf(decl_35, type, size_s1406904903t_unit: list_c1059388851t_unit > nat). 1.98/0.70 thf(decl_37, type, ord_less_nat: nat > nat > $o). 1.98/0.70 thf(decl_38, type, ord_less_eq_nat: nat > nat > $o). 1.98/0.70 thf(decl_42, type, occM2: nat). 1.98/0.70 thf(decl_44, type, fe: nat > list_c1059388851t_unit). 1.98/0.70 thf(decl_47, type, index: nat). 1.98/0.70 thf(conj_0, conjecture, ((occM2)=(minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', conj_0)). 1.98/0.70 thf(fact_104_diff__le__mono, axiom, ![X11:nat, X12:nat, X34:nat]:(((ord_less_eq_nat @ (minus_minus_nat @ X11 @ X34) @ (minus_minus_nat @ X12 @ X34))<=(ord_less_eq_nat @ X11 @ X12))), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_104_diff__le__mono)). 1.98/0.70 thf(fact_149_antisym, axiom, ![X1:nat, X2:nat]:(((ord_less_eq_nat @ X1 @ X2)=>((ord_less_eq_nat @ X2 @ X1)=>((X1)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_149_antisym)). 1.98/0.70 thf(fact_24_diff__Suc__1, axiom, ![X12:nat]:(((minus_minus_nat @ (suc @ X12) @ one_one_nat)=(X12))), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_24_diff__Suc__1)). 1.98/0.70 thf(fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062, axiom, (ord_less_eq_nat @ (minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat) @ occM2), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062)). 1.98/0.70 thf(fact_33_Suc__le__eq, axiom, ![X11:nat, X12:nat]:(((ord_less_eq_nat @ (suc @ X11) @ X12)<=>(ord_less_nat @ X11 @ X12))), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_33_Suc__le__eq)). 1.98/0.70 thf(fact_0_AssumpOccMFirstOccurrence_I3_J, axiom, (ord_less_nat @ occM2 @ (size_s1406904903t_unit @ (fe @ index))), file('/export/starexec/sandbox2/tmp/tmp.1HjNNZr4a6/E---3.1_2009637.p', fact_0_AssumpOccMFirstOccurrence_I3_J)). 1.98/0.70 thf(c_0_7, negated_conjecture, ~(((occM2)=(minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat))), inference(assume_negation,[status(cth)],[conj_0])). 1.98/0.70 thf(c_0_8, negated_conjecture, ((occM2)!=(minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat)), inference(fof_simplification,[status(thm)],[c_0_7])). 1.98/0.70 thf(c_0_9, plain, ![X11:nat, X12:nat, X34:nat]:(((ord_less_eq_nat @ X11 @ X12)=>(ord_less_eq_nat @ (minus_minus_nat @ X11 @ X34) @ (minus_minus_nat @ X12 @ X34)))), inference(fof_simplification,[status(thm)],[fact_104_diff__le__mono])). 1.98/0.70 thf(c_0_10, plain, ![X747:nat, X748:nat]:((~(ord_less_eq_nat @ X747 @ X748)|(~(ord_less_eq_nat @ X748 @ X747)|((X747)=(X748))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_149_antisym])])])). 1.98/0.70 thf(c_0_11, negated_conjecture, ((occM2)!=(minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat)), inference(fof_nnf,[status(thm)],[c_0_8])). 1.98/0.70 thf(c_0_12, plain, ![X841:nat, X842:nat, X843:nat]:((~(ord_less_eq_nat @ X841 @ X842)|(ord_less_eq_nat @ (minus_minus_nat @ X841 @ X843) @ (minus_minus_nat @ X842 @ X843)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 1.98/0.70 thf(c_0_13, plain, ![X935:nat]:(((minus_minus_nat @ (suc @ X935) @ one_one_nat)=(X935))), inference(variable_rename,[status(thm)],[fact_24_diff__Suc__1])). 1.98/0.70 thf(c_0_14, plain, ![X2:nat, X1:nat]:((((X1)=(X2))|~((ord_less_eq_nat @ X1 @ X2))|~((ord_less_eq_nat @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 1.98/0.70 thf(c_0_15, plain, (ord_less_eq_nat @ (minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat) @ occM2), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062])). 1.98/0.70 thf(c_0_16, negated_conjecture, ((occM2)!=(minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat)), inference(split_conjunct,[status(thm)],[c_0_11])). 1.98/0.70 thf(c_0_17, plain, ![X1:nat, X3:nat, X2:nat]:(((ord_less_eq_nat @ (minus_minus_nat @ X1 @ X3) @ (minus_minus_nat @ X2 @ X3))|~((ord_less_eq_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 1.98/0.70 thf(c_0_18, plain, ![X1:nat]:(((minus_minus_nat @ (suc @ X1) @ one_one_nat)=(X1))), inference(split_conjunct,[status(thm)],[c_0_13])). 1.98/0.70 thf(c_0_19, plain, ~((ord_less_eq_nat @ occM2 @ (minus_minus_nat @ (size_s1406904903t_unit @ (fe @ index)) @ one_one_nat))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 1.98/0.70 thf(c_0_20, plain, ![X1:nat, X2:nat]:(((ord_less_eq_nat @ X1 @ (minus_minus_nat @ X2 @ one_one_nat))|~((ord_less_eq_nat @ (suc @ X1) @ X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 1.98/0.70 thf(c_0_21, plain, ![X759:nat, X760:nat]:(((~(ord_less_eq_nat @ (suc @ X759) @ X760)|(ord_less_nat @ X759 @ X760))&(~(ord_less_nat @ X759 @ X760)|(ord_less_eq_nat @ (suc @ X759) @ X760)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_33_Suc__le__eq])])])). 1.98/0.70 thf(c_0_22, plain, ~((ord_less_eq_nat @ (suc @ occM2) @ (size_s1406904903t_unit @ (fe @ index)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 1.98/0.70 thf(c_0_23, plain, ![X1:nat, X2:nat]:(((ord_less_eq_nat @ (suc @ X1) @ X2)|~((ord_less_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_21])). 1.98/0.70 thf(c_0_24, plain, (ord_less_nat @ occM2 @ (size_s1406904903t_unit @ (fe @ index))), inference(split_conjunct,[status(thm)],[fact_0_AssumpOccMFirstOccurrence_I3_J])). 1.98/0.70 thf(c_0_25, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), ['proof']). 1.98/0.70 % SZS output end CNFRefutation 1.98/0.70 % Parsed axioms : 274 1.98/0.70 % Removed by relevancy pruning/SinE : 0 1.98/0.70 % Initial clauses : 491 1.98/0.70 % Removed in clause preprocessing : 58 1.98/0.70 % Initial clauses in saturation : 433 1.98/0.70 % Processed clauses : 1046 1.98/0.70 % ...of these trivial : 39 1.98/0.70 % ...subsumed : 301 1.98/0.70 % ...remaining for further processing : 706 1.98/0.70 % Other redundant clauses eliminated : 64 1.98/0.70 % Clauses deleted for lack of memory : 0 1.98/0.70 % Backward-subsumed : 9 1.98/0.70 % Backward-rewritten : 13 1.98/0.70 % Generated clauses : 6217 1.98/0.70 % ...of the previous two non-redundant : 5785 1.98/0.70 % ...aggressively subsumed : 0 1.98/0.70 % Contextual simplify-reflections : 3 1.98/0.70 % Paramodulations : 6132 1.98/0.70 % Factorizations : 10 1.98/0.70 % NegExts : 0 1.98/0.70 % Equation resolutions : 70 1.98/0.70 % Disequality decompositions : 0 1.98/0.70 % Total rewrite steps : 1168 1.98/0.70 % ...of those cached : 838 1.98/0.70 % Propositional unsat checks : 0 1.98/0.70 % Propositional check models : 0 1.98/0.70 % Propositional check unsatisfiable : 0 1.98/0.70 % Propositional clauses : 0 1.98/0.70 % Propositional clauses after purity: 0 1.98/0.70 % Propositional unsat core size : 0 1.98/0.70 % Propositional preprocessing time : 0.000 1.98/0.70 % Propositional encoding time : 0.000 1.98/0.70 % Propositional solver time : 0.000 1.98/0.70 % Success case prop preproc time : 0.000 1.98/0.70 % Success case prop encoding time : 0.000 1.98/0.70 % Success case prop solver time : 0.000 1.98/0.70 % Current number of processed clauses : 392 1.98/0.70 % Positive orientable unit clauses : 71 1.98/0.70 % Positive unorientable unit clauses: 1 1.98/0.70 % Negative unit clauses : 43 1.98/0.70 % Non-unit-clauses : 277 1.98/0.70 % Current number of unprocessed clauses: 5393 1.98/0.70 % ...number of literals in the above : 17591 1.98/0.70 % Current number of archived formulas : 0 1.98/0.70 % Current number of archived clauses : 266 1.98/0.70 % Clause-clause subsumption calls (NU) : 26731 1.98/0.70 % Rec. Clause-clause subsumption calls : 16337 1.98/0.70 % Non-unit clause-clause subsumptions : 210 1.98/0.70 % Unit Clause-clause subsumption calls : 386 1.98/0.70 % Rewrite failures with RHS unbound : 0 1.98/0.70 % BW rewrite match attempts : 45 1.98/0.70 % BW rewrite match successes : 21 1.98/0.70 % Condensation attempts : 1046 1.98/0.70 % Condensation successes : 14 1.98/0.70 % Termbank termtop insertions : 155320 1.98/0.70 % Search garbage collected termcells : 9976 1.98/0.70 1.98/0.70 % ------------------------------------------------- 1.98/0.70 % User time : 0.223 s 1.98/0.70 % System time : 0.012 s 1.98/0.70 % Total time : 0.235 s 1.98/0.70 % Maximum resident set size: 5560 pages 1.98/0.70 1.98/0.70 % ------------------------------------------------- 1.98/0.70 % User time : 0.980 s 1.98/0.70 % System time : 0.062 s 1.98/0.70 % Total time : 1.042 s 1.98/0.70 % Maximum resident set size: 4864 pages 1.98/0.70 % E exiting 1.98/0.70 EOF