0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.39 % Computer : n023.cluster.edu 0.14/0.39 % Model : x86_64 x86_64 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.39 % Memory : 8046.5625MB 0.14/0.39 % OS : Linux 6.8.0-71-generic 0.14/0.39 % CPULimit : 1440 0.14/0.39 % WCLimit : 180 0.14/0.39 % DateTime : Mon Jul 27 13:02:20 UTC 2026 0.14/0.39 % CPUTime : 0.14/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.45 Running higher-order theorem proving 4.65/5.00 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p 63.85/25.73 % Version: 3.5.1-ho 63.85/25.73 % partial match(1): HMLMSMSMSSLCHFA 63.85/25.73 % Preprocessing class: HMLMSMLMSSLCHFA. 63.85/25.73 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 63.85/25.73 % Starting new_ho_10 with 895s (5) cores 63.85/25.73 % Starting sh5l with 179s (1) cores 63.85/25.73 % Starting new_bool_1 with 179s (1) cores 63.85/25.73 % Starting new_bool_2 with 179s (1) cores 63.85/25.73 % new_bool_2 with pid 943758 completed with status 0 63.85/25.73 % Result found by new_bool_2 63.85/25.73 % partial match(1): HMLMSMSMSSLCHFA 63.85/25.73 % Preprocessing class: HMLMSMLMSSLCHFA. 63.85/25.73 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 63.85/25.73 % Starting new_ho_10 with 895s (5) cores 63.85/25.73 % Starting sh5l with 179s (1) cores 63.85/25.73 % Starting new_bool_1 with 179s (1) cores 63.85/25.73 % Starting new_bool_2 with 179s (1) cores 63.85/25.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 63.85/25.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 63.85/25.73 % Search class: HGHSM-SMLM32-DHFFFSBN 63.85/25.73 % Scheduled 5 strats onto 1 cores with 178 seconds (178 total) 63.85/25.73 % Starting SubtermCWHack with 18s (1) cores 63.85/25.73 % SubtermCWHack with pid 943759 completed with status 0 63.85/25.73 % Result found by SubtermCWHack 63.85/25.73 % partial match(1): HMLMSMSMSSLCHFA 63.85/25.73 % Preprocessing class: HMLMSMLMSSLCHFA. 63.85/25.73 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 63.85/25.73 % Starting new_ho_10 with 895s (5) cores 63.85/25.73 % Starting sh5l with 179s (1) cores 63.85/25.73 % Starting new_bool_1 with 179s (1) cores 63.85/25.73 % Starting new_bool_2 with 179s (1) cores 63.85/25.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 63.85/25.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 63.85/25.73 % Search class: HGHSM-SMLM32-DHFFFSBN 63.85/25.73 % Scheduled 5 strats onto 1 cores with 178 seconds (178 total) 63.85/25.73 % Starting SubtermCWHack with 18s (1) cores 63.85/25.73 % Preprocessing time : 0.137 s 63.85/25.73 63.85/25.73 % Proof found! 63.85/25.73 % SZS status Theorem 63.85/25.73 % SZS output start CNFRefutation 63.85/25.73 thf(decl_sort1, type, nat: $tType). 63.85/25.73 thf(decl_sort2, type, num: $tType). 63.85/25.73 thf(decl_528, type, bit0: num > num). 63.85/25.73 thf(decl_530, type, one: num). 63.85/25.73 thf(decl_538, type, numeral_numeral_nat: num > nat). 63.85/25.73 thf(decl_594, type, ord_less_eq_nat: nat > nat > $o). 63.85/25.73 thf(decl_712, type, divide_divide_nat: nat > nat > nat). 63.85/25.73 thf(decl_843, type, vEBT_VEBT_high: nat > nat > nat). 63.85/25.73 thf(decl_904, type, deg: nat). 63.85/25.73 thf(decl_909, type, na: nat). 63.85/25.73 thf(decl_914, type, xa: nat). 63.85/25.73 thf(decl_915, type, za: nat). 63.85/25.73 thf(conj_0, conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p', conj_0)). 63.85/25.73 thf(fact_589_le__antisym, axiom, ![X37:nat, X12:nat]:((((ord_less_eq_nat @ X12 @ X37)=>((X37)=(X12)))<=(ord_less_eq_nat @ X37 @ X12))), file('/export/starexec/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p', fact_589_le__antisym)). 63.85/25.73 thf(fact_0_bbbb, axiom, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p', fact_0_bbbb)). 63.85/25.73 thf(fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p', fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062)). 63.85/25.73 thf(fact_2_aaaa, axiom, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox/tmp/tmp.9ZAET5UfKv/E---3.1_943742.p', fact_2_aaaa)). 63.85/25.73 thf(c_0_5, negated_conjecture, ~(((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(assume_negation,[status(cth)],[conj_0])). 63.85/25.73 thf(c_0_6, plain, ![X37:nat, X12:nat]:(((ord_less_eq_nat @ X37 @ X12)=>((ord_less_eq_nat @ X12 @ X37)=>((X37)=(X12))))), inference(fof_simplification,[status(thm)],[fact_589_le__antisym])). 63.85/25.73 thf(c_0_7, negated_conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))!=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(fof_simplification,[status(thm)],[c_0_5])). 63.85/25.73 thf(c_0_8, plain, ![X25917:nat, X25918:nat]:((~(ord_less_eq_nat @ X25917 @ X25918)|(~(ord_less_eq_nat @ X25918 @ X25917)|((X25917)=(X25918))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 63.85/25.73 thf(c_0_9, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_0_bbbb])). 63.85/25.73 thf(c_0_10, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062])). 63.85/25.73 thf(c_0_11, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_2_aaaa])). 63.85/25.73 thf(c_0_12, negated_conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))!=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[c_0_7])). 63.85/25.73 thf(c_0_13, plain, ![X12:nat, X6:nat]:((((X6)=(X12))|~((ord_less_eq_nat @ X6 @ X12))|~((ord_less_eq_nat @ X12 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_8])). 63.85/25.73 thf(c_0_14, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ na) @ (vEBT_VEBT_high @ xa @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_10])). 63.85/25.73 thf(c_0_15, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_VEBT_high @ za @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_10]), c_0_10])). 63.85/25.73 thf(c_0_16, negated_conjecture, ((vEBT_VEBT_high @ za @ na)!=(vEBT_VEBT_high @ xa @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_10]), c_0_10])). 63.85/25.73 thf(c_0_17, plain, ($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']). 63.85/25.73 % SZS output end CNFRefutation 63.85/25.73 % Parsed axioms : 11234 63.85/25.73 % Removed by relevancy pruning/SinE : 7424 63.85/25.73 % Initial clauses : 9410 63.85/25.73 % Removed in clause preprocessing : 1911 63.85/25.73 % Initial clauses in saturation : 7499 63.85/25.73 % Processed clauses : 52030 63.85/25.73 % ...of these trivial : 11512 63.85/25.73 % ...subsumed : 26041 63.85/25.73 % ...remaining for further processing : 14477 63.85/25.73 % Other redundant clauses eliminated : 2161 63.85/25.73 % Clauses deleted for lack of memory : 0 63.85/25.73 % Backward-subsumed : 307 63.85/25.73 % Backward-rewritten : 506 63.85/25.73 % Generated clauses : 340713 63.85/25.73 % ...of the previous two non-redundant : 283140 63.85/25.73 % ...aggressively subsumed : 0 63.85/25.73 % Contextual simplify-reflections : 52 63.85/25.73 % Paramodulations : 338361 63.85/25.73 % Factorizations : 32 63.85/25.73 % NegExts : 0 63.85/25.73 % Equation resolutions : 2257 63.85/25.73 % Disequality decompositions : 0 63.85/25.73 % Total rewrite steps : 128514 63.85/25.73 % ...of those cached : 109454 63.85/25.73 % Propositional unsat checks : 0 63.85/25.73 % Propositional check models : 0 63.85/25.73 % Propositional check unsatisfiable : 0 63.85/25.73 % Propositional clauses : 0 63.85/25.73 % Propositional clauses after purity: 0 63.85/25.73 % Propositional unsat core size : 0 63.85/25.73 % Propositional preprocessing time : 0.000 63.85/25.73 % Propositional encoding time : 0.000 63.85/25.73 % Propositional solver time : 0.000 63.85/25.73 % Success case prop preproc time : 0.000 63.85/25.73 % Success case prop encoding time : 0.000 63.85/25.73 % Success case prop solver time : 0.000 63.85/25.73 % Current number of processed clauses : 13022 63.85/25.73 % Positive orientable unit clauses : 5418 63.85/25.73 % Positive unorientable unit clauses: 45 63.85/25.73 % Negative unit clauses : 4451 63.85/25.73 % Non-unit-clauses : 3108 63.85/25.73 % Current number of unprocessed clauses: 237714 63.85/25.73 % ...number of literals in the above : 591975 63.85/25.73 % Current number of archived formulas : 0 63.85/25.73 % Current number of archived clauses : 817 63.85/25.73 % Clause-clause subsumption calls (NU) : 2616181 63.85/25.73 % Rec. Clause-clause subsumption calls : 1749566 63.85/25.73 % Non-unit clause-clause subsumptions : 4101 63.85/25.73 % Unit Clause-clause subsumption calls : 11989212 63.85/25.73 % Rewrite failures with RHS unbound : 0 63.85/25.73 % BW rewrite match attempts : 22312 63.85/25.73 % BW rewrite match successes : 689 63.85/25.73 % Condensation attempts : 0 63.85/25.73 % Condensation successes : 0 63.85/25.73 % Termbank termtop insertions : 4713798 63.85/25.73 % Search garbage collected termcells : 171997 63.85/25.73 63.85/25.73 % ------------------------------------------------- 63.85/25.73 % User time : 18.879 s 63.85/25.73 % System time : 0.359 s 63.85/25.73 % Total time : 19.238 s 63.85/25.73 % Maximum resident set size: 45852 pages 63.85/25.73 63.85/25.73 % ------------------------------------------------- 63.85/25.73 % User time : 20.040 s 63.85/25.73 % System time : 0.409 s 63.85/25.73 % Total time : 20.449 s 63.85/25.73 % Maximum resident set size: 27136 pages 63.85/25.73 % E exiting 63.85/25.74 EOF