0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n010.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 13:43:04 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.44 Running higher-order theorem proving 4.63/4.95 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.212LNo3SlU/E---3.1_1189712.p 106.54/40.02 % Version: 3.5.1-ho 106.54/40.02 % partial match(2): HMLMSMSMSSLCHFA 106.54/40.02 % Preprocessing class: HMLLSMLMSSLCHFA. 106.54/40.02 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 106.54/40.02 % Starting new_ho_10 with 895s (5) cores 106.54/40.02 % Starting sh5l with 179s (1) cores 106.54/40.02 % Starting new_bool_1 with 179s (1) cores 106.54/40.02 % Starting new_bool_2 with 179s (1) cores 106.54/40.02 % new_bool_2 with pid 1189729 completed with status 0 106.54/40.02 % Result found by new_bool_2 106.54/40.02 % partial match(2): HMLMSMSMSSLCHFA 106.54/40.02 % Preprocessing class: HMLLSMLMSSLCHFA. 106.54/40.02 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 106.54/40.02 % Starting new_ho_10 with 895s (5) cores 106.54/40.02 % Starting sh5l with 179s (1) cores 106.54/40.02 % Starting new_bool_1 with 179s (1) cores 106.54/40.02 % Starting new_bool_2 with 179s (1) cores 106.54/40.02 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 106.54/40.02 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 106.54/40.02 % Search class: HGHSM-SMLM32-DHFFFSBN 106.54/40.02 % Scheduled 5 strats onto 1 cores with 179 seconds (179 total) 106.54/40.02 % Starting SubtermCWHack with 18s (1) cores 106.54/40.02 % SubtermCWHack with pid 1189730 completed with status 8 106.54/40.02 % Starting new_ho_10 with 108s (1) cores 106.54/40.02 % new_ho_10 with pid 1189732 completed with status 0 106.54/40.02 % Result found by new_ho_10 106.54/40.02 % partial match(2): HMLMSMSMSSLCHFA 106.54/40.02 % Preprocessing class: HMLLSMLMSSLCHFA. 106.54/40.02 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 106.54/40.02 % Starting new_ho_10 with 895s (5) cores 106.54/40.02 % Starting sh5l with 179s (1) cores 106.54/40.02 % Starting new_bool_1 with 179s (1) cores 106.54/40.02 % Starting new_bool_2 with 179s (1) cores 106.54/40.02 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 106.54/40.02 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 106.54/40.02 % Search class: HGHSM-SMLM32-DHFFFSBN 106.54/40.02 % Scheduled 5 strats onto 1 cores with 179 seconds (179 total) 106.54/40.02 % Starting SubtermCWHack with 18s (1) cores 106.54/40.02 % SubtermCWHack with pid 1189730 completed with status 8 106.54/40.02 % Starting new_ho_10 with 108s (1) cores 106.54/40.02 % Preprocessing time : 0.138 s 106.54/40.02 % Presaturation interreduction done 106.54/40.02 106.54/40.02 % Proof found! 106.54/40.02 % SZS status Theorem 106.54/40.02 % SZS output start CNFRefutation 106.54/40.02 thf(decl_sort1, type, nat: $tType). 106.54/40.02 thf(decl_sort2, type, vEBT_VEBT: $tType). 106.54/40.02 thf(decl_sort3, type, set_VEBT_VEBT: $tType). 106.54/40.02 thf(decl_sort4, type, list_VEBT_VEBT: $tType). 106.54/40.02 thf(decl_512, type, set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT). 106.54/40.02 thf(decl_558, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 106.54/40.02 thf(decl_649, type, size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat). 106.54/40.02 thf(decl_747, type, ord_less_nat: nat > nat > $o). 106.54/40.02 thf(decl_1118, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 106.54/40.02 thf(decl_1119, type, vEBT_VEBT_high: nat > nat > nat). 106.54/40.02 thf(decl_1128, type, vEBT_invar_vebt: vEBT_VEBT > nat > $o). 106.54/40.02 thf(decl_1132, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 106.54/40.02 thf(decl_1222, type, member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o). 106.54/40.02 thf(decl_1228, type, na: nat). 106.54/40.02 thf(decl_1230, type, treeList: list_VEBT_VEBT). 106.54/40.02 thf(decl_1231, type, xa: nat). 106.54/40.02 thf(conj_0, conjecture, (vEBT_invar_vebt @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ na), file('/export/starexec/sandbox2/tmp/tmp.212LNo3SlU/E---3.1_1189712.p', conj_0)). 106.54/40.02 thf(fact_23__C4_OIH_C_I1_J, axiom, ![X2143:vEBT_VEBT]:(((member_VEBT_VEBT @ X2143 @ (set_VEBT_VEBT2 @ treeList))=>((vEBT_invar_vebt @ X2143 @ na)&![X159:nat, X2144:nat]:(((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X2143 @ X159) @ X2144)<=>(((X159)!=(X2144))&(vEBT_V8194947554948674370ptions @ X2143 @ X2144))))))), file('/export/starexec/sandbox2/tmp/tmp.212LNo3SlU/E---3.1_1189712.p', fact_23__C4_OIH_C_I1_J)). 106.54/40.02 thf(fact_137_nth__mem, axiom, ![X13:nat, X4858:list_VEBT_VEBT]:(((ord_less_nat @ X13 @ (size_s6755466524823107622T_VEBT @ X4858))=>(member_VEBT_VEBT @ (nth_VEBT_VEBT @ X4858 @ X13) @ (set_VEBT_VEBT2 @ X4858)))), file('/export/starexec/sandbox2/tmp/tmp.212LNo3SlU/E---3.1_1189712.p', fact_137_nth__mem)). 106.54/40.02 thf(fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062, axiom, (ord_less_nat @ (vEBT_VEBT_high @ xa @ na) @ (size_s6755466524823107622T_VEBT @ treeList)), file('/export/starexec/sandbox2/tmp/tmp.212LNo3SlU/E---3.1_1189712.p', fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062)). 106.54/40.02 thf(c_0_4, negated_conjecture, ~((vEBT_invar_vebt @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ na)), inference(assume_negation,[status(cth)],[conj_0])). 106.54/40.02 thf(c_0_5, plain, ![X22626:vEBT_VEBT, X22627:nat, X22628:nat]:((((vEBT_invar_vebt @ X22626 @ na)|~(member_VEBT_VEBT @ X22626 @ (set_VEBT_VEBT2 @ treeList)))&(((((X22627)!=(X22628))|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X22626 @ X22627) @ X22628)|~(member_VEBT_VEBT @ X22626 @ (set_VEBT_VEBT2 @ treeList)))&((vEBT_V8194947554948674370ptions @ X22626 @ X22628)|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X22626 @ X22627) @ X22628)|~(member_VEBT_VEBT @ X22626 @ (set_VEBT_VEBT2 @ treeList))))&(((X22627)=(X22628))|~(vEBT_V8194947554948674370ptions @ X22626 @ X22628)|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X22626 @ X22627) @ X22628)|~(member_VEBT_VEBT @ X22626 @ (set_VEBT_VEBT2 @ treeList)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23__C4_OIH_C_I1_J])])])])). 106.54/40.02 thf(c_0_6, plain, ![X22867:nat, X22868:list_VEBT_VEBT]:((~(ord_less_nat @ X22867 @ (size_s6755466524823107622T_VEBT @ X22868))|(member_VEBT_VEBT @ (nth_VEBT_VEBT @ X22868 @ X22867) @ (set_VEBT_VEBT2 @ X22868)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_137_nth__mem])])). 106.54/40.02 thf(c_0_7, negated_conjecture, ~(vEBT_invar_vebt @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ na), inference(fof_simplification,[status(thm)],[c_0_4])). 106.54/40.02 thf(c_0_8, plain, ![X72:vEBT_VEBT]:(((vEBT_invar_vebt @ X72 @ na)|~((member_VEBT_VEBT @ X72 @ (set_VEBT_VEBT2 @ treeList))))), inference(split_conjunct,[status(thm)],[c_0_5])). 106.54/40.02 thf(c_0_9, plain, ![X11:nat, X71:list_VEBT_VEBT]:(((member_VEBT_VEBT @ (nth_VEBT_VEBT @ X71 @ X11) @ (set_VEBT_VEBT2 @ X71))|~((ord_less_nat @ X11 @ (size_s6755466524823107622T_VEBT @ X71))))), inference(split_conjunct,[status(thm)],[c_0_6])). 106.54/40.02 thf(c_0_10, negated_conjecture, ~((vEBT_invar_vebt @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ na)), inference(split_conjunct,[status(thm)],[c_0_7])). 106.54/40.02 thf(c_0_11, plain, ![X11:nat]:(((vEBT_invar_vebt @ (nth_VEBT_VEBT @ treeList @ X11) @ na)|~((ord_less_nat @ X11 @ (size_s6755466524823107622T_VEBT @ treeList))))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 106.54/40.02 thf(c_0_12, plain, (ord_less_nat @ (vEBT_VEBT_high @ xa @ na) @ (size_s6755466524823107622T_VEBT @ treeList)), inference(split_conjunct,[status(thm)],[fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062])). 106.54/40.02 thf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])]), ['proof']). 106.54/40.02 % SZS output end CNFRefutation 106.54/40.02 % Parsed axioms : 10756 106.54/40.02 % Removed by relevancy pruning/SinE : 9096 106.54/40.02 % Initial clauses : 5831 106.54/40.02 % Removed in clause preprocessing : 1840 106.54/40.02 % Initial clauses in saturation : 3991 106.54/40.02 % Processed clauses : 10445 106.54/40.02 % ...of these trivial : 195 106.54/40.02 % ...subsumed : 2770 106.54/40.02 % ...remaining for further processing : 7480 106.54/40.02 % Other redundant clauses eliminated : 3396 106.54/40.02 % Clauses deleted for lack of memory : 0 106.54/40.02 % Backward-subsumed : 34 106.54/40.02 % Backward-rewritten : 68 106.54/40.02 % Generated clauses : 85298 106.54/40.02 % ...of the previous two non-redundant : 77083 106.54/40.02 % ...aggressively subsumed : 0 106.54/40.02 % Contextual simplify-reflections : 77 106.54/40.02 % Paramodulations : 81037 106.54/40.02 % Factorizations : 22 106.54/40.02 % NegExts : 0 106.54/40.02 % Equation resolutions : 3430 106.54/40.02 % Disequality decompositions : 0 106.54/40.02 % Total rewrite steps : 36386 106.54/40.02 % ...of those cached : 33585 106.54/40.02 % Propositional unsat checks : 0 106.54/40.02 % Propositional check models : 0 106.54/40.02 % Propositional check unsatisfiable : 0 106.54/40.02 % Propositional clauses : 0 106.54/40.02 % Propositional clauses after purity: 0 106.54/40.02 % Propositional unsat core size : 0 106.54/40.02 % Propositional preprocessing time : 0.000 106.54/40.02 % Propositional encoding time : 0.000 106.54/40.02 % Propositional solver time : 0.000 106.54/40.02 % Success case prop preproc time : 0.000 106.54/40.02 % Success case prop encoding time : 0.000 106.54/40.02 % Success case prop solver time : 0.000 106.54/40.02 % Current number of processed clauses : 3821 106.54/40.02 % Positive orientable unit clauses : 445 106.54/40.02 % Positive unorientable unit clauses: 6 106.54/40.02 % Negative unit clauses : 348 106.54/40.02 % Non-unit-clauses : 3022 106.54/40.02 % Current number of unprocessed clauses: 73147 106.54/40.02 % ...number of literals in the above : 402445 106.54/40.02 % Current number of archived formulas : 0 106.54/40.02 % Current number of archived clauses : 2939 106.54/40.02 % Clause-clause subsumption calls (NU) : 12047350 106.54/40.02 % Rec. Clause-clause subsumption calls : 875667 106.54/40.02 % Non-unit clause-clause subsumptions : 1585 106.54/40.02 % Unit Clause-clause subsumption calls : 382165 106.54/40.02 % Rewrite failures with RHS unbound : 0 106.54/40.02 % BW rewrite match attempts : 358 106.54/40.02 % BW rewrite match successes : 113 106.54/40.02 % Condensation attempts : 10445 106.54/40.02 % Condensation successes : 81 106.54/40.02 % Termbank termtop insertions : 5183405 106.54/40.02 % Search garbage collected termcells : 159405 106.54/40.02 106.54/40.02 % ------------------------------------------------- 106.54/40.02 % User time : 32.973 s 106.54/40.02 % System time : 0.468 s 106.54/40.02 % Total time : 33.441 s 106.54/40.02 % Maximum resident set size: 39208 pages 106.54/40.02 106.54/40.02 % ------------------------------------------------- 106.54/40.02 % User time : 34.398 s 106.54/40.02 % System time : 0.521 s 106.54/40.02 % Total time : 34.919 s 106.54/40.02 % Maximum resident set size: 29696 pages 106.54/40.02 % E exiting 106.54/40.03 EOF