0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n004.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 13:39:23 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.44 Running higher-order theorem proving 4.87/5.15 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.oImwNdHeJp/E---3.1_3067672.p 98.88/37.61 % Version: 3.5.1-ho 98.88/37.61 % partial match(1): HMLMSMSMSSLCHFA 98.88/37.61 % Preprocessing class: HMLMSMLMSSLCHFA. 98.88/37.61 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 98.88/37.61 % Starting new_ho_10 with 895s (5) cores 98.88/37.61 % Starting sh5l with 179s (1) cores 98.88/37.61 % Starting new_bool_1 with 179s (1) cores 98.88/37.61 % Starting new_bool_2 with 179s (1) cores 98.88/37.61 % new_bool_2 with pid 3067688 completed with status 0 98.88/37.61 % Result found by new_bool_2 98.88/37.61 % partial match(1): HMLMSMSMSSLCHFA 98.88/37.61 % Preprocessing class: HMLMSMLMSSLCHFA. 98.88/37.61 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 98.88/37.61 % Starting new_ho_10 with 895s (5) cores 98.88/37.61 % Starting sh5l with 179s (1) cores 98.88/37.61 % Starting new_bool_1 with 179s (1) cores 98.88/37.61 % Starting new_bool_2 with 179s (1) cores 98.88/37.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 98.88/37.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 98.88/37.61 % Search class: HGHSM-SMLM32-DHFFFSBN 98.88/37.61 % Scheduled 5 strats onto 1 cores with 178 seconds (178 total) 98.88/37.61 % Starting SubtermCWHack with 18s (1) cores 98.88/37.61 % SubtermCWHack with pid 3067689 completed with status 8 98.88/37.61 % Starting new_ho_10 with 107s (1) cores 98.88/37.61 % new_ho_10 with pid 3067691 completed with status 0 98.88/37.61 % Result found by new_ho_10 98.88/37.61 % partial match(1): HMLMSMSMSSLCHFA 98.88/37.61 % Preprocessing class: HMLMSMLMSSLCHFA. 98.88/37.61 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 98.88/37.61 % Starting new_ho_10 with 895s (5) cores 98.88/37.61 % Starting sh5l with 179s (1) cores 98.88/37.61 % Starting new_bool_1 with 179s (1) cores 98.88/37.61 % Starting new_bool_2 with 179s (1) cores 98.88/37.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 98.88/37.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 98.88/37.61 % Search class: HGHSM-SMLM32-DHFFFSBN 98.88/37.61 % Scheduled 5 strats onto 1 cores with 178 seconds (178 total) 98.88/37.61 % Starting SubtermCWHack with 18s (1) cores 98.88/37.61 % SubtermCWHack with pid 3067689 completed with status 8 98.88/37.61 % Starting new_ho_10 with 107s (1) cores 98.88/37.61 % Preprocessing time : 0.226 s 98.88/37.61 % Presaturation interreduction done 98.88/37.61 98.88/37.61 % Proof found! 98.88/37.61 % SZS status Theorem 98.88/37.62 % SZS output start CNFRefutation 98.88/37.62 thf(decl_sort1, type, nat: $tType). 98.88/37.62 thf(decl_sort2, type, num: $tType). 98.88/37.62 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 98.88/37.62 thf(decl_sort4, type, option_nat: $tType). 98.88/37.62 thf(decl_sort5, type, vEBT_VEBT: $tType). 98.88/37.62 thf(decl_204, type, one_one_nat: nat). 98.88/37.62 thf(decl_342, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 98.88/37.62 thf(decl_359, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 98.88/37.62 thf(decl_382, type, suc: nat > nat). 98.88/37.62 thf(decl_411, type, size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat). 98.88/37.62 thf(decl_446, type, bit0: num > num). 98.88/37.62 thf(decl_448, type, one: num). 98.88/37.62 thf(decl_456, type, numeral_numeral_nat: num > nat). 98.88/37.62 thf(decl_465, type, some_nat: nat > option_nat). 98.88/37.62 thf(decl_493, type, ord_less_nat: nat > nat > $o). 98.88/37.62 thf(decl_553, type, power_power_nat: nat > nat > nat). 98.88/37.62 thf(decl_768, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 98.88/37.62 thf(decl_769, type, vEBT_VEBT_high: nat > nat > nat). 98.88/37.62 thf(decl_771, type, vEBT_VEBT_low: nat > nat > nat). 98.88/37.62 thf(decl_782, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 98.88/37.62 thf(decl_803, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 98.88/37.62 thf(decl_837, type, m: nat). 98.88/37.62 thf(decl_839, type, maxs: nat). 98.88/37.62 thf(decl_841, type, na: nat). 98.88/37.62 thf(decl_842, type, summary: vEBT_VEBT). 98.88/37.62 thf(decl_843, type, treeList: list_VEBT_VEBT). 98.88/37.62 thf(decl_844, type, xa: nat). 98.88/37.62 thf(decl_1178, type, esk305_1: nat > nat). 98.88/37.62 thf(conj_0, conjecture, ?[X15643:nat]:((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ maxs) @ X15643)), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', conj_0)). 98.88/37.62 thf(fact_26__C111_C, axiom, ![X2154:nat]:(((ord_less_nat @ X2154 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))=>(?[X1102:nat]:((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ X2154) @ X1102))<=>(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X2154)))), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_26__C111_C)). 98.88/37.62 thf(fact_36__C2_C, axiom, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_36__C2_C)). 98.88/37.62 thf(fact_2830_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_2830_Suc__1)). 98.88/37.62 thf(fact_2__C8_C, axiom, ((na)=(m)), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_2__C8_C)). 98.88/37.62 thf(fact_10_bb, axiom, ((ord_less_nat @ maxs @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))&((maxs)!=(vEBT_VEBT_high @ xa @ na))), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_10_bb)). 98.88/37.62 thf(fact_854_maxbmo, axiom, ![X12833:vEBT_VEBT, X12834:nat]:((((vEBT_vebt_maxt @ X12833)=(some_nat @ X12834))=>(vEBT_V8194947554948674370ptions @ X12833 @ X12834))), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_854_maxbmo)). 98.88/37.62 thf(fact_837__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_Ax_An_J_J_092_060close_062, axiom, ((some_nat @ maxs)=(vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)))), file('/export/starexec/sandbox/tmp/tmp.oImwNdHeJp/E---3.1_3067672.p', fact_837__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_Ax_An_J_J_092_060close_062)). 98.88/37.62 thf(c_0_8, negated_conjecture, ~(?[X15643:nat]:((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ maxs) @ X15643))), inference(assume_negation,[status(cth)],[conj_0])). 98.88/37.62 thf(c_0_9, plain, ![X29304:nat, X29305:nat]:(((~(vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ X29304) @ X29305)|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X29304)|~(ord_less_nat @ X29304 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)))&(~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X29304)|(vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ X29304) @ (esk305_1 @ X29304))|~(ord_less_nat @ X29304 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_26__C111_C])])])])])). 98.88/37.62 thf(c_0_10, plain, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), inference(split_conjunct,[status(thm)],[fact_36__C2_C])). 98.88/37.62 thf(c_0_11, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_2830_Suc__1])). 98.88/37.62 thf(c_0_12, plain, ((na)=(m)), inference(split_conjunct,[status(thm)],[fact_2__C8_C])). 98.88/37.62 thf(c_0_13, negated_conjecture, ![X26971:nat]:(~(vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ maxs) @ X26971)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 98.88/37.62 thf(c_0_14, plain, ![X15:nat]:(((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ X15) @ (esk305_1 @ X15))|~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X15))|~((ord_less_nat @ X15 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))))), inference(split_conjunct,[status(thm)],[c_0_9])). 98.88/37.62 thf(c_0_15, plain, ((power_power_nat @ (suc @ one_one_nat) @ na)=(size_s6755466524823107622T_VEBT @ treeList)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 98.88/37.62 thf(c_0_16, plain, (ord_less_nat @ maxs @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), inference(split_conjunct,[status(thm)],[fact_10_bb])). 98.88/37.62 thf(c_0_17, negated_conjecture, ![X15:nat]:(~((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ maxs) @ X15))), inference(split_conjunct,[status(thm)],[c_0_13])). 98.88/37.62 thf(c_0_18, plain, ![X15:nat]:(((vEBT_V8194947554948674370ptions @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ xa @ na)) @ (vEBT_VEBT_low @ xa @ na))) @ X15) @ (esk305_1 @ X15))|~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X15))|~((ord_less_nat @ X15 @ (size_s6755466524823107622T_VEBT @ treeList))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_11]), c_0_12]), c_0_15])). 98.88/37.62 thf(c_0_19, plain, (ord_less_nat @ maxs @ (size_s6755466524823107622T_VEBT @ treeList)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_11]), c_0_12]), c_0_15])). 98.88/37.62 thf(c_0_20, plain, ![X27048:vEBT_VEBT, X27049:nat]:((((vEBT_vebt_maxt @ X27048)!=(some_nat @ X27049))|(vEBT_V8194947554948674370ptions @ X27048 @ X27049))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_854_maxbmo])])). 98.88/37.62 thf(c_0_21, negated_conjecture, ~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ maxs)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])). 98.88/37.62 thf(c_0_22, plain, ![X26:vEBT_VEBT, X15:nat]:(((vEBT_V8194947554948674370ptions @ X26 @ X15)|((vEBT_vebt_maxt @ X26)!=(some_nat @ X15)))), inference(split_conjunct,[status(thm)],[c_0_20])). 98.88/37.62 thf(c_0_23, plain, ((some_nat @ maxs)=(vEBT_vebt_maxt @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)))), inference(split_conjunct,[status(thm)],[fact_837__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_Ax_An_J_J_092_060close_062])). 98.88/37.62 thf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), ['proof']). 98.88/37.62 % SZS output end CNFRefutation 98.88/37.62 % Parsed axioms : 11165 98.88/37.62 % Removed by relevancy pruning/SinE : 7640 98.88/37.62 % Initial clauses : 9032 98.88/37.62 % Removed in clause preprocessing : 1960 98.88/37.62 % Initial clauses in saturation : 7072 98.88/37.62 % Processed clauses : 10346 98.88/37.62 % ...of these trivial : 362 98.88/37.62 % ...subsumed : 2283 98.88/37.62 % ...remaining for further processing : 7701 98.88/37.62 % Other redundant clauses eliminated : 1694 98.88/37.62 % Clauses deleted for lack of memory : 0 98.88/37.62 % Backward-subsumed : 39 98.88/37.62 % Backward-rewritten : 104 98.88/37.62 % Generated clauses : 17326 98.88/37.62 % ...of the previous two non-redundant : 13415 98.88/37.62 % ...aggressively subsumed : 0 98.88/37.62 % Contextual simplify-reflections : 100 98.88/37.62 % Paramodulations : 15730 98.88/37.62 % Factorizations : 7 98.88/37.62 % NegExts : 0 98.88/37.62 % Equation resolutions : 1728 98.88/37.62 % Disequality decompositions : 0 98.88/37.62 % Total rewrite steps : 10460 98.88/37.62 % ...of those cached : 9052 98.88/37.62 % Propositional unsat checks : 0 98.88/37.62 % Propositional check models : 0 98.88/37.62 % Propositional check unsatisfiable : 0 98.88/37.62 % Propositional clauses : 0 98.88/37.62 % Propositional clauses after purity: 0 98.88/37.62 % Propositional unsat core size : 0 98.88/37.62 % Propositional preprocessing time : 0.000 98.88/37.62 % Propositional encoding time : 0.000 98.88/37.62 % Propositional solver time : 0.000 98.88/37.62 % Success case prop preproc time : 0.000 98.88/37.62 % Success case prop encoding time : 0.000 98.88/37.62 % Success case prop solver time : 0.000 98.88/37.62 % Current number of processed clauses : 1712 98.88/37.62 % Positive orientable unit clauses : 621 98.88/37.62 % Positive unorientable unit clauses: 11 98.88/37.62 % Negative unit clauses : 180 98.88/37.62 % Non-unit-clauses : 900 98.88/37.62 % Current number of unprocessed clauses: 14987 98.88/37.62 % ...number of literals in the above : 41571 98.88/37.62 % Current number of archived formulas : 0 98.88/37.62 % Current number of archived clauses : 5025 98.88/37.62 % Clause-clause subsumption calls (NU) : 12281930 98.88/37.62 % Rec. Clause-clause subsumption calls : 1147218 98.88/37.62 % Non-unit clause-clause subsumptions : 1634 98.88/37.62 % Unit Clause-clause subsumption calls : 47143 98.88/37.62 % Rewrite failures with RHS unbound : 0 98.88/37.62 % BW rewrite match attempts : 1252 98.88/37.62 % BW rewrite match successes : 350 98.88/37.62 % Condensation attempts : 10346 98.88/37.62 % Condensation successes : 39 98.88/37.62 % Termbank termtop insertions : 2760478 98.88/37.62 % Search garbage collected termcells : 186698 98.88/37.62 98.88/37.62 % ------------------------------------------------- 98.88/37.62 % User time : 30.409 s 98.88/37.62 % System time : 0.373 s 98.88/37.62 % Total time : 30.782 s 98.88/37.62 % Maximum resident set size: 49056 pages 98.88/37.62 98.88/37.62 % ------------------------------------------------- 98.88/37.62 % User time : 31.920 s 98.88/37.62 % System time : 0.424 s 98.88/37.62 % Total time : 32.344 s 98.88/37.62 % Maximum resident set size: 29440 pages 98.88/37.62 % E exiting 98.88/37.62 EOF