0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.19/0.45 % Computer : n006.cluster.edu 0.19/0.45 % Model : x86_64 x86_64 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.45 % Memory : 8046.5625MB 0.19/0.45 % OS : Linux 6.8.0-71-generic 0.19/0.45 % CPULimit : 1440 0.19/0.45 % WCLimit : 180 0.19/0.45 % DateTime : Mon Jul 27 13:16:49 UTC 2026 0.19/0.46 % CPUTime : 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.23/0.54 Running higher-order theorem proving 7.04/7.33 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.MrWiT1KETp/E---3.1_2846146.p 145.63/55.37 % Version: 3.5.1-ho 145.63/55.37 % partial match(1): HMLMSMSMSSLCHFA 145.63/55.37 % Preprocessing class: HMLMSMLMSSLCHFA. 145.63/55.37 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 145.63/55.37 % Starting new_ho_10 with 890s (5) cores 145.63/55.37 % Starting sh5l with 178s (1) cores 145.63/55.37 % Starting new_bool_1 with 178s (1) cores 145.63/55.37 % Starting new_bool_2 with 178s (1) cores 145.63/55.37 % new_bool_2 with pid 2846162 completed with status 0 145.63/55.37 % Result found by new_bool_2 145.63/55.37 % partial match(1): HMLMSMSMSSLCHFA 145.63/55.37 % Preprocessing class: HMLMSMLMSSLCHFA. 145.63/55.37 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 145.63/55.37 % Starting new_ho_10 with 890s (5) cores 145.63/55.37 % Starting sh5l with 178s (1) cores 145.63/55.37 % Starting new_bool_1 with 178s (1) cores 145.63/55.37 % Starting new_bool_2 with 178s (1) cores 145.63/55.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 145.63/55.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 145.63/55.37 % Search class: HGHSM-SMLM32-DHFFFSBN 145.63/55.37 % Scheduled 5 strats onto 1 cores with 175 seconds (175 total) 145.63/55.37 % Starting SubtermCWHack with 18s (1) cores 145.63/55.38 % SubtermCWHack with pid 2846323 completed with status 8 145.63/55.38 % Starting new_ho_10 with 106s (1) cores 145.63/55.38 % new_ho_10 with pid 2847049 completed with status 0 145.63/55.38 % Result found by new_ho_10 145.63/55.38 % partial match(1): HMLMSMSMSSLCHFA 145.63/55.38 % Preprocessing class: HMLMSMLMSSLCHFA. 145.63/55.38 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 145.63/55.38 % Starting new_ho_10 with 890s (5) cores 145.63/55.38 % Starting sh5l with 178s (1) cores 145.63/55.38 % Starting new_bool_1 with 178s (1) cores 145.63/55.38 % Starting new_bool_2 with 178s (1) cores 145.63/55.38 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 145.63/55.38 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 145.63/55.38 % Search class: HGHSM-SMLM32-DHFFFSBN 145.63/55.38 % Scheduled 5 strats onto 1 cores with 175 seconds (175 total) 145.63/55.38 % Starting SubtermCWHack with 18s (1) cores 145.63/55.38 % SubtermCWHack with pid 2846323 completed with status 8 145.63/55.38 % Starting new_ho_10 with 106s (1) cores 145.63/55.38 % Preprocessing time : 0.358 s 145.63/55.38 % Presaturation interreduction done 145.63/55.38 145.63/55.38 % Proof found! 145.63/55.38 % SZS status Theorem 145.63/55.38 % SZS output start CNFRefutation 145.63/55.38 thf(decl_sort1, type, nat: $tType). 145.63/55.38 thf(decl_sort2, type, num: $tType). 145.63/55.38 thf(decl_sort3, type, set_nat: $tType). 145.63/55.38 thf(decl_sort4, type, option_nat: $tType). 145.63/55.38 thf(decl_sort5, type, vEBT_VEBT: $tType). 145.63/55.38 thf(decl_257, type, one_one_nat: nat). 145.63/55.38 thf(decl_466, type, suc: nat > nat). 145.63/55.38 thf(decl_534, type, bit0: num > num). 145.63/55.38 thf(decl_536, type, one: num). 145.63/55.38 thf(decl_544, type, numeral_numeral_nat: num > nat). 145.63/55.38 thf(decl_553, type, some_nat: nat > option_nat). 145.63/55.38 thf(decl_737, type, divide_divide_nat: nat > nat > nat). 145.63/55.38 thf(decl_880, type, vEBT_VEBT_high: nat > nat > nat). 145.63/55.38 thf(decl_898, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat). 145.63/55.38 thf(decl_916, type, vEBT_is_succ_in_set: set_nat > nat > nat > $o). 145.63/55.38 thf(decl_917, type, vEBT_vebt_succ: vEBT_VEBT > nat > option_nat). 145.63/55.38 thf(decl_940, type, deg: nat). 145.63/55.38 thf(decl_944, type, na: nat). 145.63/55.38 thf(decl_945, type, sc: nat). 145.63/55.38 thf(decl_946, type, summary: vEBT_VEBT). 145.63/55.38 thf(decl_948, type, xa: nat). 145.63/55.38 thf(conj_0, conjecture, (vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ sc), file('/export/starexec/sandbox2/tmp/tmp.MrWiT1KETp/E---3.1_2846146.p', conj_0)). 145.63/55.38 thf(fact_4__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/sandbox2/tmp/tmp.MrWiT1KETp/E---3.1_2846146.p', fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062)). 145.63/55.38 thf(fact_2717_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.MrWiT1KETp/E---3.1_2846146.p', fact_2717_Suc__1)). 145.63/55.38 thf(fact_0__C4_Ohyps_C_I3_J, axiom, ![X11037:nat, X11038:nat]:((((vEBT_vebt_succ @ summary @ X11037)=(some_nat @ X11038))<=>(vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ X11037 @ X11038))), file('/export/starexec/sandbox2/tmp/tmp.MrWiT1KETp/E---3.1_2846146.p', fact_0__C4_Ohyps_C_I3_J)). 145.63/55.38 thf(fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062, axiom, ((vEBT_vebt_succ @ summary @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))=(some_nat @ sc)), file('/export/starexec/sandbox2/tmp/tmp.MrWiT1KETp/E---3.1_2846146.p', fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062)). 145.63/55.38 thf(c_0_5, negated_conjecture, ~((vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ sc)), inference(assume_negation,[status(cth)],[conj_0])). 145.63/55.38 thf(c_0_6, negated_conjecture, ~(vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ sc), inference(fof_simplification,[status(thm)],[c_0_5])). 145.63/55.38 thf(c_0_7, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062])). 145.63/55.38 thf(c_0_8, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_2717_Suc__1])). 145.63/55.38 thf(c_0_9, negated_conjecture, ~((vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ sc)), inference(split_conjunct,[status(thm)],[c_0_6])). 145.63/55.38 thf(c_0_10, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_7, c_0_8])). 145.63/55.38 thf(c_0_11, plain, ![X28183:nat, X28184:nat]:(((((vEBT_vebt_succ @ summary @ X28183)!=(some_nat @ X28184))|(vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ X28183 @ X28184))&(~(vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ X28183 @ X28184)|((vEBT_vebt_succ @ summary @ X28183)=(some_nat @ X28184))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__C4_Ohyps_C_I3_J])])). 145.63/55.38 thf(c_0_12, plain, ((vEBT_vebt_succ @ summary @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))=(some_nat @ sc)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062])). 145.63/55.38 thf(c_0_13, negated_conjecture, ~((vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ (vEBT_VEBT_high @ xa @ na) @ sc)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_8]), c_0_10])). 145.63/55.38 thf(c_0_14, plain, ![X6:nat, X7:nat]:(((vEBT_is_succ_in_set @ (vEBT_VEBT_set_vebt @ summary) @ X6 @ X7)|((vEBT_vebt_succ @ summary @ X6)!=(some_nat @ X7)))), inference(split_conjunct,[status(thm)],[c_0_11])). 145.63/55.38 thf(c_0_15, plain, ((vEBT_vebt_succ @ summary @ (vEBT_VEBT_high @ xa @ na))=(some_nat @ sc)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_8]), c_0_10])). 145.63/55.38 thf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), ['proof']). 145.63/55.38 % SZS output end CNFRefutation 145.63/55.38 % Parsed axioms : 11271 145.63/55.38 % Removed by relevancy pruning/SinE : 6753 145.63/55.38 % Initial clauses : 11089 145.63/55.38 % Removed in clause preprocessing : 2112 145.63/55.38 % Initial clauses in saturation : 8977 145.63/55.38 % Processed clauses : 10853 145.63/55.38 % ...of these trivial : 379 145.63/55.38 % ...subsumed : 2357 145.63/55.38 % ...remaining for further processing : 8117 145.63/55.38 % Other redundant clauses eliminated : 1921 145.63/55.38 % Clauses deleted for lack of memory : 0 145.63/55.38 % Backward-subsumed : 63 145.63/55.38 % Backward-rewritten : 124 145.63/55.38 % Generated clauses : 2093 145.63/55.38 % ...of the previous two non-redundant : 1572 145.63/55.38 % ...aggressively subsumed : 0 145.63/55.38 % Contextual simplify-reflections : 116 145.63/55.38 % Paramodulations : 493 145.63/55.38 % Factorizations : 0 145.63/55.38 % NegExts : 0 145.63/55.38 % Equation resolutions : 1936 145.63/55.38 % Disequality decompositions : 0 145.63/55.38 % Total rewrite steps : 8643 145.63/55.38 % ...of those cached : 7725 145.63/55.38 % Propositional unsat checks : 0 145.63/55.38 % Propositional check models : 0 145.63/55.38 % Propositional check unsatisfiable : 0 145.63/55.38 % Propositional clauses : 0 145.63/55.38 % Propositional clauses after purity: 0 145.63/55.38 % Propositional unsat core size : 0 145.63/55.38 % Propositional preprocessing time : 0.000 145.63/55.38 % Propositional encoding time : 0.000 145.63/55.38 % Propositional solver time : 0.000 145.63/55.38 % Success case prop preproc time : 0.000 145.63/55.38 % Success case prop encoding time : 0.000 145.63/55.38 % Success case prop solver time : 0.000 145.63/55.38 % Current number of processed clauses : 549 145.63/55.38 % Positive orientable unit clauses : 241 145.63/55.38 % Positive unorientable unit clauses: 0 145.63/55.38 % Negative unit clauses : 182 145.63/55.38 % Non-unit-clauses : 126 145.63/55.38 % Current number of unprocessed clauses: 5538 145.63/55.38 % ...number of literals in the above : 20071 145.63/55.38 % Current number of archived formulas : 0 145.63/55.38 % Current number of archived clauses : 6040 145.63/55.38 % Clause-clause subsumption calls (NU) : 20229969 145.63/55.38 % Rec. Clause-clause subsumption calls : 1972737 145.63/55.38 % Non-unit clause-clause subsumptions : 2151 145.63/55.38 % Unit Clause-clause subsumption calls : 39544 145.63/55.38 % Rewrite failures with RHS unbound : 0 145.63/55.38 % BW rewrite match attempts : 1139 145.63/55.38 % BW rewrite match successes : 300 145.63/55.38 % Condensation attempts : 10853 145.63/55.38 % Condensation successes : 48 145.63/55.38 % Termbank termtop insertions : 2851069 145.63/55.38 % Search garbage collected termcells : 199740 145.63/55.38 145.63/55.38 % ------------------------------------------------- 145.63/55.38 % User time : 44.785 s 145.63/55.38 % System time : 0.519 s 145.63/55.38 % Total time : 45.304 s 145.63/55.38 % Maximum resident set size: 51684 pages 145.63/55.38 145.63/55.38 % ------------------------------------------------- 145.63/55.38 % User time : 46.732 s 145.63/55.38 % System time : 0.599 s 145.63/55.38 % Total time : 47.331 s 145.63/55.38 % Maximum resident set size: 28928 pages 145.63/55.38 % E exiting 145.63/55.38 EOF