0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.15/0.43 % Computer : n015.cluster.edu 0.15/0.43 % Model : x86_64 x86_64 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.43 % Memory : 8046.5625MB 0.15/0.43 % OS : Linux 6.8.0-71-generic 0.15/0.43 % CPULimit : 1440 0.15/0.43 % WCLimit : 180 0.15/0.43 % DateTime : Mon Jul 27 12:07:19 UTC 2026 0.15/0.43 % CPUTime : 0.15/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.26/0.50 Running higher-order theorem proving 0.54/0.85 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.J2nASd71oi/E---3.1_980871.p 2.31/1.59 % Version: 3.5.1-ho 2.31/1.59 % partial match(2): HSLMSMSSSSLCHSA 2.31/1.59 % Preprocessing class: HMLMSLSSSSLCHSA. 2.31/1.59 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.31/1.59 % Starting pre_casc_6 with 900s (5) cores 2.31/1.59 % Starting ehoh_best7 with 180s (1) cores 2.31/1.59 % Starting new_bool_8 with 180s (1) cores 2.31/1.59 % Starting new_ho_11 with 180s (1) cores 2.31/1.59 % new_bool_8 with pid 980886 completed with status 0 2.31/1.59 % Result found by new_bool_8 2.31/1.59 % partial match(2): HSLMSMSSSSLCHSA 2.31/1.59 % Preprocessing class: HMLMSLSSSSLCHSA. 2.31/1.59 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.31/1.59 % Starting pre_casc_6 with 900s (5) cores 2.31/1.59 % Starting ehoh_best7 with 180s (1) cores 2.31/1.59 % Starting new_bool_8 with 180s (1) cores 2.31/1.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0)) 2.31/1.59 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 2.31/1.59 % Search class: HGHSM-FSLM32-MHSFFSBN 2.31/1.59 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 2.31/1.59 % Starting SubtermCWHack with 17s (1) cores 2.31/1.59 % SubtermCWHack with pid 980888 completed with status 0 2.31/1.59 % Result found by SubtermCWHack 2.31/1.59 % partial match(2): HSLMSMSSSSLCHSA 2.31/1.59 % Preprocessing class: HMLMSLSSSSLCHSA. 2.31/1.59 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 2.31/1.59 % Starting pre_casc_6 with 900s (5) cores 2.31/1.59 % Starting ehoh_best7 with 180s (1) cores 2.31/1.59 % Starting new_bool_8 with 180s (1) cores 2.31/1.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0)) 2.31/1.59 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 2.31/1.59 % Search class: HGHSM-FSLM32-MHSFFSBN 2.31/1.59 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 2.31/1.59 % Starting SubtermCWHack with 17s (1) cores 2.31/1.59 % Preprocessing time : 0.018 s 2.31/1.59 2.31/1.59 % Proof found! 2.31/1.59 % SZS status Theorem 2.31/1.59 % SZS output start CNFRefutation 2.31/1.59 thf(decl_sort1, type, pname: $tType). 2.31/1.59 thf(decl_sort2, type, hoare_1708887482_state: $tType). 2.31/1.59 thf(decl_sort3, type, com: $tType). 2.31/1.59 thf(decl_sort4, type, option_com: $tType). 2.31/1.59 thf(decl_25, type, wt: com > $o). 2.31/1.59 thf(decl_26, type, wT_bodies: $o). 2.31/1.59 thf(decl_27, type, body: pname > option_com). 2.31/1.59 thf(decl_28, type, body_1: pname > com). 2.31/1.59 thf(decl_88, type, hoare_Mirabelle_MGT: com > hoare_1708887482_state). 2.31/1.59 thf(decl_89, type, hoare_90032982_state: (hoare_1708887482_state > $o) > (hoare_1708887482_state > $o) > $o). 2.31/1.59 thf(decl_91, type, hoare_1160767572gleton: $o). 2.31/1.59 thf(decl_108, type, dom_pname_com: (pname > option_com) > pname > $o). 2.31/1.59 thf(decl_121, type, some_com: com > option_com). 2.31/1.59 thf(decl_127, type, the_com: option_com > com). 2.31/1.59 thf(decl_134, type, bot_bo19817387tate_o: hoare_1708887482_state > $o). 2.31/1.59 thf(decl_168, type, image_1116629049_state: (pname > hoare_1708887482_state) > (pname > $o) > hoare_1708887482_state > $o). 2.31/1.59 thf(decl_179, type, insert528405184_state: hoare_1708887482_state > (hoare_1708887482_state > $o) > hoare_1708887482_state > $o). 2.31/1.59 thf(decl_197, type, pn: pname). 2.31/1.59 thf(decl_198, type, y: com). 2.31/1.59 thf(decl_300, type, esk64_0: pname > hoare_1708887482_state). 2.31/1.59 thf(decl_301, type, esk65_0: pname > hoare_1708887482_state). 2.31/1.59 thf(fact_297_WT__bodiesD, axiom, ![X213:pname, X2921:com]:(((((body @ X213)=(some_com @ X2921))=>(wt @ X2921))<=(wT_bodies))), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', fact_297_WT__bodiesD)). 2.31/1.59 thf(fact_66_MGF, axiom, ![X830:com]:((((wT_bodies)=>((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X830) @ bot_bo19817387tate_o))<=(wt @ X830)))<=(hoare_1160767572gleton))), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', fact_66_MGF)). 2.31/1.59 thf(fact_374_the_Osimps, axiom, ![X584:com]:(((the_com @ (some_com @ X584))=(X584))), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', fact_374_the_Osimps)). 2.31/1.59 thf(conj_1, hypothesis, (wT_bodies), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', conj_1)). 2.31/1.59 thf(fact_4_cut, axiom, ![X1624:hoare_1708887482_state > $o, X1625:hoare_1708887482_state > $o, X1626:hoare_1708887482_state > $o]:((((hoare_90032982_state @ X1624 @ X1625)=>(hoare_90032982_state @ X1624 @ X1626))<=(hoare_90032982_state @ X1625 @ X1626))), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', fact_4_cut)). 2.31/1.59 thf(conj_5, hypothesis, ((body @ pn)=(some_com @ y)), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', conj_5)). 2.31/1.59 thf(conj_7, conjecture, (hoare_90032982_state @ (image_1116629049_state @ (^[X836:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X836))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', conj_7)). 2.31/1.59 thf(fact_0_empty, axiom, ![X829:hoare_1708887482_state > $o]:((hoare_90032982_state @ X829 @ bot_bo19817387tate_o)), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', fact_0_empty)). 2.31/1.59 thf(conj_0, hypothesis, (hoare_1160767572gleton), file('/export/starexec/sandbox/tmp/tmp.J2nASd71oi/E---3.1_980871.p', conj_0)). 2.31/1.59 thf(c_0_9, plain, ![X213:pname, X2921:com]:(((wT_bodies)=>(((body @ X213)=(some_com @ X2921))=>(wt @ X2921)))), inference(fof_simplification,[status(thm)],[fact_297_WT__bodiesD])). 2.31/1.59 thf(c_0_10, plain, ![X4622:pname, X4623:com]:((~(wT_bodies)|(((body @ X4622)!=(some_com @ X4623))|(wt @ X4623)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 2.31/1.59 thf(c_0_11, plain, ![X830:com]:(((hoare_1160767572gleton)=>((wT_bodies)=>((wt @ X830)=>(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X830) @ bot_bo19817387tate_o)))))), inference(fof_simplification,[status(thm)],[fact_66_MGF])). 2.31/1.59 thf(c_0_12, plain, ![X4730:com]:(((the_com @ (some_com @ X4730))=(X4730))), inference(variable_rename,[status(thm)],[fact_374_the_Osimps])). 2.31/1.59 thf(c_0_13, plain, ![X18:pname, X40:com]:(((wt @ X40)|~((wT_bodies))|((body @ X18)!=(some_com @ X40)))), inference(split_conjunct,[status(thm)],[c_0_10])). 2.31/1.59 thf(c_0_14, hypothesis, (wT_bodies), inference(split_conjunct,[status(thm)],[conj_1])). 2.31/1.59 thf(c_0_15, plain, ![X1624:hoare_1708887482_state > $o, X1625:hoare_1708887482_state > $o, X1626:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X1625 @ X1626)=>((hoare_90032982_state @ X1624 @ X1625)=>(hoare_90032982_state @ X1624 @ X1626)))), inference(fof_simplification,[status(thm)],[fact_4_cut])). 2.31/1.59 thf(c_0_16, plain, ![X4621:com]:((~(hoare_1160767572gleton)|(~(wT_bodies)|(~(wt @ X4621)|(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X4621) @ bot_bo19817387tate_o)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 2.31/1.59 thf(c_0_17, plain, ![X5751:pname]:(((esk65_0 @ X5751)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X5751))))), inference(variable_rename,[status(thm)],[])). 2.31/1.59 thf(c_0_18, plain, ![X40:com]:(((the_com @ (some_com @ X40))=(X40))), inference(split_conjunct,[status(thm)],[c_0_12])). 2.31/1.59 thf(c_0_19, hypothesis, ((body @ pn)=(some_com @ y)), inference(split_conjunct,[status(thm)],[conj_5])). 2.31/1.59 thf(c_0_20, plain, ![X18:pname, X40:com]:(((wt @ X40)|((body @ X18)!=(some_com @ X40)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])). 2.31/1.59 thf(c_0_21, negated_conjecture, ~((hoare_90032982_state @ (image_1116629049_state @ (^[X836:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X836))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o))), inference(assume_negation,[status(cth)],[conj_7])). 2.31/1.59 thf(c_0_22, plain, ![X4453:hoare_1708887482_state > $o, X4454:hoare_1708887482_state > $o, X4455:hoare_1708887482_state > $o]:((~(hoare_90032982_state @ X4454 @ X4455)|(~(hoare_90032982_state @ X4453 @ X4454)|(hoare_90032982_state @ X4453 @ X4455)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])). 2.31/1.59 thf(c_0_23, plain, ![X4456:hoare_1708887482_state > $o]:((hoare_90032982_state @ X4456 @ bot_bo19817387tate_o)), inference(variable_rename,[status(thm)],[fact_0_empty])). 2.31/1.59 thf(c_0_24, plain, ![X40:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X40) @ bot_bo19817387tate_o))|~((hoare_1160767572gleton))|~((wT_bodies))|~((wt @ X40)))), inference(split_conjunct,[status(thm)],[c_0_16])). 2.31/1.59 thf(c_0_25, hypothesis, (hoare_1160767572gleton), inference(split_conjunct,[status(thm)],[conj_0])). 2.31/1.59 thf(c_0_26, plain, ![X18:pname]:(((esk65_0 @ X18)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X18))))), inference(split_conjunct,[status(thm)],[c_0_17])). 2.31/1.59 thf(c_0_27, hypothesis, ((the_com @ (body @ pn))=(y)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 2.31/1.59 thf(c_0_28, hypothesis, ![X18:pname]:(((wt @ y)|((body @ X18)!=(body @ pn)))), inference(spm,[status(thm)],[c_0_20, c_0_19])). 2.31/1.59 thf(c_0_29, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_21])])). 2.31/1.59 thf(c_0_30, plain, ![X6:hoare_1708887482_state > $o, X5:hoare_1708887482_state > $o, X1:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X6 @ X5)|~((hoare_90032982_state @ X1 @ X5))|~((hoare_90032982_state @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])). 2.31/1.59 thf(c_0_31, plain, ![X1:hoare_1708887482_state > $o]:((hoare_90032982_state @ X1 @ bot_bo19817387tate_o)), inference(split_conjunct,[status(thm)],[c_0_23])). 2.31/1.59 thf(c_0_32, plain, ![X40:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X40) @ bot_bo19817387tate_o))|~((wt @ X40)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_14]), c_0_25])])). 2.31/1.59 thf(c_0_33, hypothesis, ((hoare_Mirabelle_MGT @ y)=(esk65_0 @ pn)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 2.31/1.59 thf(c_0_34, hypothesis, (wt @ y), inference(er,[status(thm)],[c_0_28])). 2.31/1.59 thf(c_0_35, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), inference(fof_nnf,[status(thm)],[c_0_29])). 2.31/1.59 thf(c_0_36, plain, ![X5689:pname]:(((esk64_0 @ X5689)=(hoare_Mirabelle_MGT @ (body_1 @ X5689)))), introduced(definition)). 2.31/1.59 thf(c_0_37, plain, ![X1:hoare_1708887482_state > $o, X5:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X1 @ X5)|~((hoare_90032982_state @ bot_bo19817387tate_o @ X5)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 2.31/1.59 thf(c_0_38, hypothesis, (hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (esk65_0 @ pn) @ bot_bo19817387tate_o)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])). 2.31/1.59 thf(c_0_39, negated_conjecture, ~((((hoare_90032982_state @ (image_1116629049_state @ esk64_0 @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_35]), c_0_36])). 2.31/1.59 thf(c_0_40, hypothesis, ![X1:hoare_1708887482_state > $o]:((hoare_90032982_state @ X1 @ (insert528405184_state @ (esk65_0 @ pn) @ bot_bo19817387tate_o))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 2.31/1.59 thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_39]), c_0_33]), c_0_40])]), ['proof']). 2.31/1.59 % SZS output end CNFRefutation 2.31/1.59 % Parsed axioms : 1408 2.31/1.59 % Removed by relevancy pruning/SinE : 940 2.31/1.59 % Initial clauses : 714 2.31/1.59 % Removed in clause preprocessing : 19 2.31/1.59 % Initial clauses in saturation : 695 2.31/1.59 % Processed clauses : 3344 2.31/1.59 % ...of these trivial : 144 2.31/1.59 % ...subsumed : 2251 2.31/1.59 % ...remaining for further processing : 948 2.31/1.59 % Other redundant clauses eliminated : 114 2.31/1.59 % Clauses deleted for lack of memory : 0 2.31/1.59 % Backward-subsumed : 8 2.31/1.59 % Backward-rewritten : 26 2.31/1.59 % Generated clauses : 14934 2.31/1.59 % ...of the previous two non-redundant : 12224 2.31/1.59 % ...aggressively subsumed : 0 2.31/1.59 % Contextual simplify-reflections : 0 2.31/1.59 % Paramodulations : 14574 2.31/1.59 % Factorizations : 0 2.31/1.59 % NegExts : 0 2.31/1.59 % Equation resolutions : 123 2.31/1.59 % Disequality decompositions : 0 2.31/1.59 % Total rewrite steps : 4806 2.31/1.59 % ...of those cached : 4153 2.31/1.59 % Propositional unsat checks : 0 2.31/1.59 % Propositional check models : 0 2.31/1.59 % Propositional check unsatisfiable : 0 2.31/1.59 % Propositional clauses : 0 2.31/1.59 % Propositional clauses after purity: 0 2.31/1.59 % Propositional unsat core size : 0 2.31/1.59 % Propositional preprocessing time : 0.000 2.31/1.59 % Propositional encoding time : 0.000 2.31/1.59 % Propositional solver time : 0.000 2.31/1.59 % Success case prop preproc time : 0.000 2.31/1.59 % Success case prop encoding time : 0.000 2.31/1.59 % Success case prop solver time : 0.000 2.31/1.59 % Current number of processed clauses : 834 2.31/1.59 % Positive orientable unit clauses : 176 2.31/1.59 % Positive unorientable unit clauses: 7 2.31/1.59 % Negative unit clauses : 29 2.31/1.59 % Non-unit-clauses : 622 2.31/1.59 % Current number of unprocessed clauses: 9477 2.31/1.59 % ...number of literals in the above : 21346 2.31/1.59 % Current number of archived formulas : 0 2.31/1.59 % Current number of archived clauses : 62 2.31/1.59 % Clause-clause subsumption calls (NU) : 114761 2.31/1.59 % Rec. Clause-clause subsumption calls : 87547 2.31/1.59 % Non-unit clause-clause subsumptions : 1988 2.31/1.59 % Unit Clause-clause subsumption calls : 919 2.31/1.59 % Rewrite failures with RHS unbound : 0 2.31/1.59 % BW rewrite match attempts : 317 2.31/1.59 % BW rewrite match successes : 64 2.31/1.59 % Condensation attempts : 0 2.31/1.59 % Condensation successes : 0 2.31/1.59 % Termbank termtop insertions : 193792 2.31/1.59 % Search garbage collected termcells : 23725 2.31/1.59 2.31/1.59 % ------------------------------------------------- 2.31/1.59 % User time : 0.552 s 2.31/1.59 % System time : 0.030 s 2.31/1.59 % Total time : 0.582 s 2.31/1.59 % Maximum resident set size: 9928 pages 2.31/1.59 2.31/1.59 % ------------------------------------------------- 2.31/1.59 % User time : 0.661 s 2.31/1.59 % System time : 0.046 s 2.31/1.59 % Total time : 0.707 s 2.31/1.59 % Maximum resident set size: 8448 pages 2.31/1.59 % E exiting 2.31/1.59 EOF