0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n008.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 09:54:04 EDT 2025 0.13/0.34 % CPUTime : 0.22/0.49 Running higher-order theorem proving 2.84/3.03 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.JJ2I2z6bhI/E---3.1_18905.p 20.70/8.22 # Version: 3.0.0-ho 20.70/8.22 # partial match(2): HMLMSMSMSSLCHFA 20.70/8.22 # Preprocessing class: HMLLSMLMSSLCHFA. 20.70/8.22 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 20.70/8.22 # Starting new_ho_10 with 1200s (5) cores 20.70/8.22 # Starting sh5l with 240s (1) cores 20.70/8.22 # Starting new_bool_1 with 240s (1) cores 20.70/8.22 # Starting new_bool_2 with 240s (1) cores 20.70/8.22 # new_bool_1 with pid 19062 completed with status 0 20.70/8.22 # Result found by new_bool_1 20.70/8.22 # partial match(2): HMLMSMSMSSLCHFA 20.70/8.22 # Preprocessing class: HMLLSMLMSSLCHFA. 20.70/8.22 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 20.70/8.22 # Starting new_ho_10 with 1200s (5) cores 20.70/8.22 # Starting sh5l with 240s (1) cores 20.70/8.22 # Starting new_bool_1 with 240s (1) cores 20.70/8.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 20.70/8.22 # Search class: HGHSM-SMLM32-DHFFFSBN 20.70/8.22 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 20.70/8.22 # Starting new_ho_10 with 145s (1) cores 20.70/8.22 # new_ho_10 with pid 19065 completed with status 0 20.70/8.22 # Result found by new_ho_10 20.70/8.22 # partial match(2): HMLMSMSMSSLCHFA 20.70/8.22 # Preprocessing class: HMLLSMLMSSLCHFA. 20.70/8.22 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 20.70/8.22 # Starting new_ho_10 with 1200s (5) cores 20.70/8.22 # Starting sh5l with 240s (1) cores 20.70/8.22 # Starting new_bool_1 with 240s (1) cores 20.70/8.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 20.70/8.22 # Search class: HGHSM-SMLM32-DHFFFSBN 20.70/8.22 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 20.70/8.22 # Starting new_ho_10 with 145s (1) cores 20.70/8.22 # Preprocessing time : 0.048 s 20.70/8.22 # Presaturation interreduction done 20.70/8.22 20.70/8.22 # Proof found! 20.70/8.22 # SZS status Theorem 20.70/8.22 # SZS output start CNFRefutation 20.70/8.22 thf(decl_sort1, type, produc3658429121746597890et_nat: $tType). 20.70/8.22 thf(decl_sort2, type, assn: $tType). 20.70/8.22 thf(decl_sort3, type, set_nat: $tType). 20.70/8.22 thf(decl_sort4, type, heap_e7401611519738050253t_unit: $tType). 20.70/8.22 thf(decl_sort5, type, a: $tType). 20.70/8.22 thf(decl_28, type, rep_assn: assn > produc3658429121746597890et_nat > $o). 20.70/8.22 thf(decl_294, type, times_times_assn: assn > assn > assn). 20.70/8.22 thf(decl_454, type, hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat). 20.70/8.22 thf(decl_521, type, inf_inf_set_nat: set_nat > set_nat > set_nat). 20.70/8.22 thf(decl_576, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 20.70/8.22 thf(decl_852, type, bot_bot_set_nat: set_nat). 20.70/8.22 thf(decl_997, type, produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat). 20.70/8.22 thf(decl_1333, type, q: a > assn). 20.70/8.22 thf(decl_1334, type, r: assn). 20.70/8.22 thf(decl_1335, type, as1: set_nat). 20.70/8.22 thf(decl_1336, type, as2: set_nat). 20.70/8.22 thf(decl_1337, type, as: set_nat). 20.70/8.22 thf(decl_1339, type, h: heap_e7401611519738050253t_unit). 20.70/8.22 thf(decl_1340, type, h2: heap_e7401611519738050253t_unit). 20.70/8.22 thf(decl_1341, type, r2: a). 20.70/8.22 thf(fact_458_sup__commute, axiom, ((sup_sup_set_nat)=(^[X2024:set_nat, X2025:set_nat]:(sup_sup_set_nat @ X2025 @ X2024))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_458_sup__commute)). 20.70/8.22 thf(fact_425_inf__sup__aci_I1_J, axiom, ((inf_inf_set_nat)=(^[X12205:set_nat, X12206:set_nat]:(inf_inf_set_nat @ X12206 @ X12205))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_425_inf__sup__aci_I1_J)). 20.70/8.22 thf(conj_0, conjecture, (rep_assn @ (times_times_assn @ (q @ r2) @ r) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as @ h))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', conj_0)). 20.70/8.22 thf(fact_90_assn__times__comm, axiom, ((times_times_assn)=(^[X1093:assn, X1094:assn]:(times_times_assn @ X1094 @ X1093))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_90_assn__times__comm)). 20.70/8.22 thf(fact_36_star__assnI, axiom, ![X11272:assn, X11273:heap_e7401611519738050253t_unit, X3924:set_nat, X11274:assn, X5324:set_nat]:(((rep_assn @ X11272 @ (produc7507926704131184380et_nat @ X11273 @ X3924))=>((((inf_inf_set_nat @ X3924 @ X5324)=(bot_bot_set_nat))=>(rep_assn @ (times_times_assn @ X11272 @ X11274) @ (produc7507926704131184380et_nat @ X11273 @ (sup_sup_set_nat @ X3924 @ X5324))))<=(rep_assn @ X11274 @ (produc7507926704131184380et_nat @ X11273 @ X5324))))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_36_star__assnI)). 20.70/8.22 thf(fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062, axiom, ((hoare_new_addrs @ h2 @ as @ h)=(sup_sup_set_nat @ (hoare_new_addrs @ h2 @ as1 @ h) @ as2)), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062)). 20.70/8.22 thf(fact_3_DJN, axiom, ((inf_inf_set_nat @ (hoare_new_addrs @ h2 @ as1 @ h) @ as2)=(bot_bot_set_nat)), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_3_DJN)). 20.70/8.22 thf(fact_7_MDL, axiom, (rep_assn @ (q @ r2) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as1 @ h))), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_7_MDL)). 20.70/8.22 thf(fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062, axiom, (rep_assn @ r @ (produc7507926704131184380et_nat @ h @ as2)), file('/export/starexec/sandbox/tmp/tmp.JJ2I2z6bhI/E---3.1_18905.p', fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062)). 20.70/8.22 thf(c_0_9, plain, ((sup_sup_set_nat)=(^[Z0/* 19 */:set_nat, Z1:set_nat]:(sup_sup_set_nat @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_458_sup__commute])). 20.70/8.22 thf(c_0_10, plain, ((inf_inf_set_nat)=(^[Z0/* 19 */:set_nat, Z1:set_nat]:(inf_inf_set_nat @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_425_inf__sup__aci_I1_J])). 20.70/8.22 thf(c_0_11, negated_conjecture, ~(rep_assn @ (times_times_assn @ (q @ r2) @ r) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as @ h))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 20.70/8.22 thf(c_0_12, plain, ((times_times_assn)=(^[Z0/* 19 */:assn, Z1:assn]:(times_times_assn @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_90_assn__times__comm])). 20.70/8.22 thf(c_0_13, plain, ![X11272:assn, X11273:heap_e7401611519738050253t_unit, X3924:set_nat, X11274:assn, X5324:set_nat]:(((rep_assn @ X11272 @ (produc7507926704131184380et_nat @ X11273 @ X3924))=>((rep_assn @ X11274 @ (produc7507926704131184380et_nat @ X11273 @ X5324))=>(((inf_inf_set_nat @ X3924 @ X5324)=(bot_bot_set_nat))=>(rep_assn @ (times_times_assn @ X11272 @ X11274) @ (produc7507926704131184380et_nat @ X11273 @ (sup_sup_set_nat @ X3924 @ X5324))))))), inference(fof_simplification,[status(thm)],[fact_36_star__assnI])). 20.70/8.22 thf(c_0_14, plain, ((sup_sup_set_nat)=(^[Z0/* 19 */:set_nat, Z1:set_nat]:(sup_sup_set_nat @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_9])). 20.70/8.22 thf(c_0_15, plain, ((inf_inf_set_nat)=(^[Z0/* 19 */:set_nat, Z1:set_nat]:(inf_inf_set_nat @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_10])). 20.70/8.22 thf(c_0_16, negated_conjecture, ~(rep_assn @ (times_times_assn @ (q @ r2) @ r) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as @ h))), inference(fof_nnf,[status(thm)],[c_0_11])). 20.70/8.22 thf(c_0_17, plain, ((times_times_assn)=(^[Z0/* 19 */:assn, Z1:assn]:(times_times_assn @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_12])). 20.70/8.22 thf(c_0_18, plain, ![X25880:assn, X25881:heap_e7401611519738050253t_unit, X25882:set_nat, X25883:assn, X25884:set_nat]:((~(rep_assn @ X25880 @ (produc7507926704131184380et_nat @ X25881 @ X25882))|(~(rep_assn @ X25883 @ (produc7507926704131184380et_nat @ X25881 @ X25884))|(((inf_inf_set_nat @ X25882 @ X25884)!=(bot_bot_set_nat))|(rep_assn @ (times_times_assn @ X25880 @ X25883) @ (produc7507926704131184380et_nat @ X25881 @ (sup_sup_set_nat @ X25882 @ X25884))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 20.70/8.22 thf(c_0_19, plain, ((hoare_new_addrs @ h2 @ as @ h)=(sup_sup_set_nat @ (hoare_new_addrs @ h2 @ as1 @ h) @ as2)), inference(split_conjunct,[status(thm)],[fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062])). 20.70/8.22 thf(c_0_20, plain, ![X13:set_nat, X12:set_nat]:(((sup_sup_set_nat @ X12 @ X13)=(sup_sup_set_nat @ X13 @ X12))), inference(arg_cong,[status(thm)],[c_0_14])). 20.70/8.22 thf(c_0_21, plain, ((inf_inf_set_nat @ (hoare_new_addrs @ h2 @ as1 @ h) @ as2)=(bot_bot_set_nat)), inference(split_conjunct,[status(thm)],[fact_3_DJN])). 20.70/8.22 thf(c_0_22, plain, ![X13:set_nat, X12:set_nat]:(((inf_inf_set_nat @ X12 @ X13)=(inf_inf_set_nat @ X13 @ X12))), inference(arg_cong,[status(thm)],[c_0_15])). 20.70/8.22 thf(c_0_23, negated_conjecture, ~((rep_assn @ (times_times_assn @ (q @ r2) @ r) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as @ h)))), inference(split_conjunct,[status(thm)],[c_0_16])). 20.70/8.22 thf(c_0_24, plain, ![X94:assn, X93:assn]:(((times_times_assn @ X93 @ X94)=(times_times_assn @ X94 @ X93))), inference(arg_cong,[status(thm)],[c_0_17])). 20.70/8.22 thf(c_0_25, plain, ![X12:set_nat, X93:assn, X94:assn, X16:heap_e7401611519738050253t_unit, X13:set_nat]:(((rep_assn @ (times_times_assn @ X93 @ X94) @ (produc7507926704131184380et_nat @ X16 @ (sup_sup_set_nat @ X12 @ X13)))|~((rep_assn @ X93 @ (produc7507926704131184380et_nat @ X16 @ X12)))|~((rep_assn @ X94 @ (produc7507926704131184380et_nat @ X16 @ X13)))|((inf_inf_set_nat @ X12 @ X13)!=(bot_bot_set_nat)))), inference(split_conjunct,[status(thm)],[c_0_18])). 20.70/8.22 thf(c_0_26, plain, ((sup_sup_set_nat @ as2 @ (hoare_new_addrs @ h2 @ as1 @ h))=(hoare_new_addrs @ h2 @ as @ h)), inference(rw,[status(thm)],[c_0_19, c_0_20])). 20.70/8.22 thf(c_0_27, plain, ((inf_inf_set_nat @ as2 @ (hoare_new_addrs @ h2 @ as1 @ h))=(bot_bot_set_nat)), inference(rw,[status(thm)],[c_0_21, c_0_22])). 20.70/8.22 thf(c_0_28, negated_conjecture, ~((rep_assn @ (times_times_assn @ r @ (q @ r2)) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as @ h)))), inference(rw,[status(thm)],[c_0_23, c_0_24])). 20.70/8.22 thf(c_0_29, plain, ![X94:assn, X93:assn, X16:heap_e7401611519738050253t_unit]:(((rep_assn @ (times_times_assn @ X93 @ X94) @ (produc7507926704131184380et_nat @ X16 @ (hoare_new_addrs @ h2 @ as @ h)))|~((rep_assn @ X94 @ (produc7507926704131184380et_nat @ X16 @ (hoare_new_addrs @ h2 @ as1 @ h))))|~((rep_assn @ X93 @ (produc7507926704131184380et_nat @ X16 @ as2))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])])). 20.70/8.22 thf(c_0_30, plain, (rep_assn @ (q @ r2) @ (produc7507926704131184380et_nat @ h @ (hoare_new_addrs @ h2 @ as1 @ h))), inference(split_conjunct,[status(thm)],[fact_7_MDL])). 20.70/8.22 thf(c_0_31, plain, (rep_assn @ r @ (produc7507926704131184380et_nat @ h @ as2)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062])). 20.70/8.22 thf(c_0_32, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])]), ['proof']). 20.70/8.22 # SZS output end CNFRefutation 20.70/8.22 # Parsed axioms : 11206 20.70/8.22 # Removed by relevancy pruning/SinE : 9631 20.70/8.22 # Initial clauses : 2902 20.70/8.22 # Removed in clause preprocessing : 112 20.70/8.22 # Initial clauses in saturation : 2790 20.70/8.22 # Processed clauses : 12234 20.70/8.22 # ...of these trivial : 474 20.70/8.22 # ...subsumed : 5294 20.70/8.22 # ...remaining for further processing : 6466 20.70/8.22 # Other redundant clauses eliminated : 982 20.70/8.22 # Clauses deleted for lack of memory : 0 20.70/8.22 # Backward-subsumed : 108 20.70/8.22 # Backward-rewritten : 96 20.70/8.22 # Generated clauses : 139704 20.70/8.22 # ...of the previous two non-redundant : 126407 20.70/8.22 # ...aggressively subsumed : 0 20.70/8.22 # Contextual simplify-reflections : 33 20.70/8.22 # Paramodulations : 138161 20.70/8.22 # Factorizations : 22 20.70/8.22 # NegExts : 1 20.70/8.22 # Equation resolutions : 1011 20.70/8.22 # Disequality decompositions : 0 20.70/8.22 # Total rewrite steps : 26108 20.70/8.22 # ...of those cached : 22696 20.70/8.22 # Propositional unsat checks : 0 20.70/8.22 # Propositional check models : 0 20.70/8.22 # Propositional check unsatisfiable : 0 20.70/8.22 # Propositional clauses : 0 20.70/8.22 # Propositional clauses after purity: 0 20.70/8.22 # Propositional unsat core size : 0 20.70/8.22 # Propositional preprocessing time : 0.000 20.70/8.22 # Propositional encoding time : 0.000 20.70/8.22 # Propositional solver time : 0.000 20.70/8.22 # Success case prop preproc time : 0.000 20.70/8.22 # Success case prop encoding time : 0.000 20.70/8.22 # Success case prop solver time : 0.000 20.70/8.22 # Current number of processed clauses : 4067 20.70/8.22 # Positive orientable unit clauses : 568 20.70/8.22 # Positive unorientable unit clauses: 25 20.70/8.22 # Negative unit clauses : 191 20.70/8.22 # Non-unit-clauses : 3283 20.70/8.22 # Current number of unprocessed clauses: 118295 20.70/8.22 # ...number of literals in the above : 382470 20.70/8.22 # Current number of archived formulas : 0 20.70/8.22 # Current number of archived clauses : 2167 20.70/8.22 # Clause-clause subsumption calls (NU) : 1746812 20.70/8.22 # Rec. Clause-clause subsumption calls : 1020036 20.70/8.22 # Non-unit clause-clause subsumptions : 3675 20.70/8.22 # Unit Clause-clause subsumption calls : 89113 20.70/8.22 # Rewrite failures with RHS unbound : 0 20.70/8.22 # BW rewrite match attempts : 1399 20.70/8.22 # BW rewrite match successes : 512 20.70/8.22 # Condensation attempts : 12235 20.70/8.22 # Condensation successes : 110 20.70/8.22 # Termbank termtop insertions : 2343494 20.70/8.22 # Search garbage collected termcells : 156055 20.70/8.22 20.70/8.22 # ------------------------------------------------- 20.70/8.22 # User time : 4.106 s 20.70/8.22 # System time : 0.144 s 20.70/8.22 # Total time : 4.250 s 20.70/8.22 # Maximum resident set size: 37916 pages 20.70/8.22 20.70/8.22 # ------------------------------------------------- 20.70/8.22 # User time : 4.961 s 20.70/8.22 # System time : 0.174 s 20.70/8.22 # Total time : 5.135 s 20.70/8.22 # Maximum resident set size: 28276 pages 20.70/8.22 % E exiting 20.70/8.23 % E exiting 20.70/8.23 EOF