0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n005.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 07:54:19 EDT 2025 0.10/0.31 % CPUTime : 0.17/0.44 Running higher-order theorem proving 4.02/4.24 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=240 /export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p 60.69/19.41 # Version: 3.0.0-ho 60.69/19.41 # partial match(1): HMLMSMSMSSLCHFA 60.69/19.41 # Preprocessing class: HMLMSMLMSSLCHFA. 60.69/19.41 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 60.69/19.41 # Starting new_ho_10 with 1195s (5) cores 60.69/19.41 # Starting sh5l with 239s (1) cores 60.69/19.41 # Starting new_bool_1 with 239s (1) cores 60.69/19.41 # Starting new_bool_2 with 239s (1) cores 60.69/19.41 # new_bool_2 with pid 13653 completed with status 0 60.69/19.41 # Result found by new_bool_2 60.69/19.41 # partial match(1): HMLMSMSMSSLCHFA 60.69/19.41 # Preprocessing class: HMLMSMLMSSLCHFA. 60.69/19.41 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 60.69/19.41 # Starting new_ho_10 with 1195s (5) cores 60.69/19.41 # Starting sh5l with 239s (1) cores 60.69/19.41 # Starting new_bool_1 with 239s (1) cores 60.69/19.41 # Starting new_bool_2 with 239s (1) cores 60.69/19.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 60.69/19.41 # Search class: HGHSM-SMLM32-DHFFFSBN 60.69/19.41 # Scheduled 5 strats onto 1 cores with 238 seconds (238 total) 60.69/19.41 # Starting new_ho_10 with 143s (1) cores 60.69/19.41 # new_ho_10 with pid 13680 completed with status 0 60.69/19.41 # Result found by new_ho_10 60.69/19.41 # partial match(1): HMLMSMSMSSLCHFA 60.69/19.41 # Preprocessing class: HMLMSMLMSSLCHFA. 60.69/19.41 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 60.69/19.41 # Starting new_ho_10 with 1195s (5) cores 60.69/19.41 # Starting sh5l with 239s (1) cores 60.69/19.41 # Starting new_bool_1 with 239s (1) cores 60.69/19.41 # Starting new_bool_2 with 239s (1) cores 60.69/19.41 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 60.69/19.41 # Search class: HGHSM-SMLM32-DHFFFSBN 60.69/19.41 # Scheduled 5 strats onto 1 cores with 238 seconds (238 total) 60.69/19.41 # Starting new_ho_10 with 143s (1) cores 60.69/19.41 # Preprocessing time : 0.282 s 60.69/19.41 # Presaturation interreduction done 60.69/19.41 60.69/19.41 # Proof found! 60.69/19.41 # SZS status Theorem 60.69/19.41 # SZS output start CNFRefutation 60.69/19.41 thf(decl_sort1, type, nat: $tType). 60.69/19.41 thf(decl_sort2, type, num: $tType). 60.69/19.41 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 60.69/19.41 thf(decl_sort4, type, option_nat: $tType). 60.69/19.41 thf(decl_sort5, type, vEBT_VEBT: $tType). 60.69/19.41 thf(decl_204, type, one_one_nat: nat). 60.69/19.41 thf(decl_342, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 60.69/19.41 thf(decl_359, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 60.69/19.41 thf(decl_382, type, suc: nat > nat). 60.69/19.41 thf(decl_411, type, size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat). 60.69/19.41 thf(decl_446, type, bit0: num > num). 60.69/19.41 thf(decl_448, type, one: num). 60.69/19.41 thf(decl_456, type, numeral_numeral_nat: num > nat). 60.69/19.41 thf(decl_465, type, some_nat: nat > option_nat). 60.69/19.41 thf(decl_493, type, ord_less_nat: nat > nat > $o). 60.69/19.41 thf(decl_553, type, power_power_nat: nat > nat > nat). 60.69/19.41 thf(decl_768, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 60.69/19.41 thf(decl_769, type, vEBT_VEBT_high: nat > nat > nat). 60.69/19.41 thf(decl_771, type, vEBT_VEBT_low: nat > nat > nat). 60.69/19.41 thf(decl_782, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 60.69/19.41 thf(decl_803, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 60.69/19.41 thf(decl_837, type, m: nat). 60.69/19.41 thf(decl_839, type, maxs: nat). 60.69/19.41 thf(decl_841, type, na: nat). 60.69/19.41 thf(decl_842, type, summary: vEBT_VEBT). 60.69/19.41 thf(decl_843, type, treeList: list_VEBT_VEBT). 60.69/19.41 thf(decl_844, type, xa: nat). 60.69/19.41 thf(decl_1178, type, esk305_1: nat > nat). 60.69/19.41 thf(fact_26__C111_C, axiom, ![X3656:nat]:(((?[X15679: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))) @ X3656) @ X15679))<=>(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X3656))<=(ord_less_nat @ X3656 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)))), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', fact_26__C111_C)). 60.69/19.41 thf(conj_0, conjecture, ?[X11769: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) @ X11769)), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', conj_0)). 60.69/19.41 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.YwOGTqbIV5/E---3.1_13488.p', fact_36__C2_C)). 60.69/19.41 thf(fact_2830_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', fact_2830_Suc__1)). 60.69/19.41 thf(fact_2__C8_C, axiom, ((na)=(m)), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', fact_2__C8_C)). 60.69/19.41 thf(fact_10_bb, axiom, (((maxs)!=(vEBT_VEBT_high @ xa @ na))&(ord_less_nat @ maxs @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', fact_10_bb)). 60.69/19.41 thf(fact_854_maxbmo, axiom, ![X13838:vEBT_VEBT, X13839:nat]:(((vEBT_V8194947554948674370ptions @ X13838 @ X13839)<=((vEBT_vebt_maxt @ X13838)=(some_nat @ X13839)))), file('/export/starexec/sandbox/tmp/tmp.YwOGTqbIV5/E---3.1_13488.p', fact_854_maxbmo)). 60.69/19.41 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.YwOGTqbIV5/E---3.1_13488.p', fact_837__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_Ax_An_J_J_092_060close_062)). 60.69/19.41 thf(c_0_8, plain, ![X3656:nat]:(((ord_less_nat @ X3656 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))=>(?[X15679: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))) @ X3656) @ X15679))<=>(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X3656)))), inference(fof_simplification,[status(thm)],[fact_26__C111_C])). 60.69/19.41 thf(c_0_9, negated_conjecture, ~(?[X11769: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) @ X11769))), inference(assume_negation,[status(cth)],[conj_0])). 60.69/19.41 thf(c_0_10, plain, ![X29322:nat, X29323: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))) @ X29322) @ X29323)|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X29322)|~(ord_less_nat @ X29322 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)))&(~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X29322)|(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))) @ X29322) @ (esk305_1 @ X29322))|~(ord_less_nat @ X29322 @ (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)],[c_0_8])])])])])). 60.69/19.41 thf(c_0_11, plain, ((size_s6755466524823107622T_VEBT @ treeList)=(power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), inference(split_conjunct,[status(thm)],[fact_36__C2_C])). 60.69/19.41 thf(c_0_12, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_2830_Suc__1])). 60.69/19.41 thf(c_0_13, plain, ((na)=(m)), inference(split_conjunct,[status(thm)],[fact_2__C8_C])). 60.69/19.41 thf(c_0_14, negated_conjecture, ![X26988: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) @ X26988)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 60.69/19.41 thf(c_0_15, plain, ![X5: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))) @ X5) @ (esk305_1 @ X5))|~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X5))|~((ord_less_nat @ X5 @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m))))), inference(split_conjunct,[status(thm)],[c_0_10])). 60.69/19.41 thf(c_0_16, plain, ((power_power_nat @ (suc @ one_one_nat) @ na)=(size_s6755466524823107622T_VEBT @ treeList)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12]), c_0_13])). 60.69/19.41 thf(c_0_17, plain, (ord_less_nat @ maxs @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ m)), inference(split_conjunct,[status(thm)],[fact_10_bb])). 60.69/19.41 thf(c_0_18, plain, ![X13838:vEBT_VEBT, X13839:nat]:((((vEBT_vebt_maxt @ X13838)=(some_nat @ X13839))=>(vEBT_V8194947554948674370ptions @ X13838 @ X13839))), inference(fof_simplification,[status(thm)],[fact_854_maxbmo])). 60.69/19.41 thf(c_0_19, negated_conjecture, ![X5: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) @ X5))), inference(split_conjunct,[status(thm)],[c_0_14])). 60.69/19.41 thf(c_0_20, plain, ![X5: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))) @ X5) @ (esk305_1 @ X5))|~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ summary @ (vEBT_VEBT_high @ xa @ na)) @ X5))|~((ord_less_nat @ X5 @ (size_s6755466524823107622T_VEBT @ treeList))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_12]), c_0_13]), c_0_16])). 60.69/19.41 thf(c_0_21, plain, (ord_less_nat @ maxs @ (size_s6755466524823107622T_VEBT @ treeList)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_12]), c_0_13]), c_0_16])). 60.69/19.41 thf(c_0_22, plain, ![X27082:vEBT_VEBT, X27083:nat]:((((vEBT_vebt_maxt @ X27082)!=(some_nat @ X27083))|(vEBT_V8194947554948674370ptions @ X27082 @ X27083))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])). 60.69/19.41 thf(c_0_23, 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_19, c_0_20]), c_0_21])])). 60.69/19.41 thf(c_0_24, plain, ![X1:vEBT_VEBT, X5:nat]:(((vEBT_V8194947554948674370ptions @ X1 @ X5)|((vEBT_vebt_maxt @ X1)!=(some_nat @ X5)))), inference(split_conjunct,[status(thm)],[c_0_22])). 60.69/19.41 thf(c_0_25, 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])). 60.69/19.41 thf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])]), ['proof']). 60.69/19.41 # SZS output end CNFRefutation 60.69/19.41 # Parsed axioms : 11165 60.69/19.41 # Removed by relevancy pruning/SinE : 7640 60.69/19.41 # Initial clauses : 9056 60.69/19.41 # Removed in clause preprocessing : 1960 60.69/19.41 # Initial clauses in saturation : 7096 60.69/19.41 # Processed clauses : 10369 60.69/19.41 # ...of these trivial : 365 60.69/19.41 # ...subsumed : 2282 60.69/19.41 # ...remaining for further processing : 7722 60.69/19.41 # Other redundant clauses eliminated : 1694 60.69/19.41 # Clauses deleted for lack of memory : 0 60.69/19.41 # Backward-subsumed : 39 60.69/19.41 # Backward-rewritten : 104 60.69/19.41 # Generated clauses : 17353 60.69/19.41 # ...of the previous two non-redundant : 13462 60.69/19.41 # ...aggressively subsumed : 0 60.69/19.41 # Contextual simplify-reflections : 100 60.69/19.41 # Paramodulations : 15757 60.69/19.41 # Factorizations : 7 60.69/19.41 # NegExts : 0 60.69/19.41 # Equation resolutions : 1728 60.69/19.41 # Disequality decompositions : 0 60.69/19.41 # Total rewrite steps : 10424 60.69/19.41 # ...of those cached : 9027 60.69/19.41 # Propositional unsat checks : 0 60.69/19.41 # Propositional check models : 0 60.69/19.41 # Propositional check unsatisfiable : 0 60.69/19.41 # Propositional clauses : 0 60.69/19.41 # Propositional clauses after purity: 0 60.69/19.41 # Propositional unsat core size : 0 60.69/19.41 # Propositional preprocessing time : 0.000 60.69/19.41 # Propositional encoding time : 0.000 60.69/19.41 # Propositional solver time : 0.000 60.69/19.41 # Success case prop preproc time : 0.000 60.69/19.41 # Success case prop encoding time : 0.000 60.69/19.41 # Success case prop solver time : 0.000 60.69/19.41 # Current number of processed clauses : 1709 60.69/19.41 # Positive orientable unit clauses : 618 60.69/19.41 # Positive unorientable unit clauses: 11 60.69/19.41 # Negative unit clauses : 181 60.69/19.41 # Non-unit-clauses : 899 60.69/19.41 # Current number of unprocessed clauses: 15059 60.69/19.41 # ...number of literals in the above : 41788 60.69/19.41 # Current number of archived formulas : 0 60.69/19.41 # Current number of archived clauses : 5049 60.69/19.41 # Clause-clause subsumption calls (NU) : 12538407 60.69/19.41 # Rec. Clause-clause subsumption calls : 1217633 60.69/19.41 # Non-unit clause-clause subsumptions : 1635 60.69/19.41 # Unit Clause-clause subsumption calls : 41173 60.69/19.41 # Rewrite failures with RHS unbound : 0 60.69/19.41 # BW rewrite match attempts : 1252 60.69/19.41 # BW rewrite match successes : 350 60.69/19.41 # Condensation attempts : 10369 60.69/19.41 # Condensation successes : 39 60.69/19.41 # Termbank termtop insertions : 2761655 60.69/19.41 # Search garbage collected termcells : 186513 60.69/19.41 60.69/19.41 # ------------------------------------------------- 60.69/19.41 # User time : 13.712 s 60.69/19.41 # System time : 0.149 s 60.69/19.41 # Total time : 13.861 s 60.69/19.41 # Maximum resident set size: 47156 pages 60.69/19.41 60.69/19.41 # ------------------------------------------------- 60.69/19.41 # User time : 14.883 s 60.69/19.41 # System time : 0.190 s 60.69/19.41 # Total time : 15.073 s 60.69/19.41 # Maximum resident set size: 26412 pages 60.69/19.41 % E exiting 60.69/19.41 % E exiting 60.69/19.41 EOF