0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n022.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 06:42:34 EDT 2025 0.12/0.34 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.46/0.64 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.wwBjT45bkD/E---3.1_15533.p 2.44/1.19 # Version: 3.0.0-ho 2.44/1.19 # partial match(2): HSLMSMSSSSLCHSA 2.44/1.19 # Preprocessing class: HMLMSLSSSSLCHSA. 2.44/1.19 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 2.44/1.19 # Starting pre_casc_6 with 1200s (5) cores 2.44/1.19 # Starting ehoh_best7 with 240s (1) cores 2.44/1.19 # Starting new_bool_8 with 240s (1) cores 2.44/1.19 # Starting new_ho_11 with 240s (1) cores 2.44/1.19 # new_bool_8 with pid 15613 completed with status 0 2.44/1.19 # Result found by new_bool_8 2.44/1.19 # partial match(2): HSLMSMSSSSLCHSA 2.44/1.19 # Preprocessing class: HMLMSLSSSSLCHSA. 2.44/1.19 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 2.44/1.19 # Starting pre_casc_6 with 1200s (5) cores 2.44/1.19 # Starting ehoh_best7 with 240s (1) cores 2.44/1.19 # Starting new_bool_8 with 240s (1) cores 2.44/1.19 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 2.44/1.19 # Search class: HGHSM-FSLM32-MHSFFSBN 2.44/1.19 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 2.44/1.19 # Starting new_ho_10 with 130s (1) cores 2.44/1.19 # new_ho_10 with pid 15615 completed with status 0 2.44/1.19 # Result found by new_ho_10 2.44/1.19 # partial match(2): HSLMSMSSSSLCHSA 2.44/1.19 # Preprocessing class: HMLMSLSSSSLCHSA. 2.44/1.19 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 2.44/1.19 # Starting pre_casc_6 with 1200s (5) cores 2.44/1.19 # Starting ehoh_best7 with 240s (1) cores 2.44/1.19 # Starting new_bool_8 with 240s (1) cores 2.44/1.19 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 2.44/1.19 # Search class: HGHSM-FSLM32-MHSFFSBN 2.44/1.19 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 2.44/1.19 # Starting new_ho_10 with 130s (1) cores 2.44/1.19 # Preprocessing time : 0.012 s 2.44/1.19 # Presaturation interreduction done 2.44/1.19 2.44/1.19 # Proof found! 2.44/1.19 # SZS status Theorem 2.44/1.19 # SZS output start CNFRefutation 2.44/1.19 thf(decl_sort1, type, pname: $tType). 2.44/1.19 thf(decl_sort2, type, hoare_1708887482_state: $tType). 2.44/1.19 thf(decl_sort3, type, com: $tType). 2.44/1.19 thf(decl_sort4, type, option_com: $tType). 2.44/1.19 thf(decl_25, type, wt: com > $o). 2.44/1.19 thf(decl_26, type, wT_bodies: $o). 2.44/1.19 thf(decl_27, type, body: pname > option_com). 2.44/1.19 thf(decl_28, type, body_1: pname > com). 2.44/1.19 thf(decl_88, type, hoare_Mirabelle_MGT: com > hoare_1708887482_state). 2.44/1.19 thf(decl_89, type, hoare_90032982_state: (hoare_1708887482_state > $o) > (hoare_1708887482_state > $o) > $o). 2.44/1.19 thf(decl_91, type, hoare_1160767572gleton: $o). 2.44/1.19 thf(decl_108, type, dom_pname_com: (pname > option_com) > pname > $o). 2.44/1.19 thf(decl_121, type, some_com: com > option_com). 2.44/1.19 thf(decl_127, type, the_com: option_com > com). 2.44/1.19 thf(decl_134, type, bot_bo19817387tate_o: hoare_1708887482_state > $o). 2.44/1.19 thf(decl_168, type, image_1116629049_state: (pname > hoare_1708887482_state) > (pname > $o) > hoare_1708887482_state > $o). 2.44/1.19 thf(decl_179, type, insert528405184_state: hoare_1708887482_state > (hoare_1708887482_state > $o) > hoare_1708887482_state > $o). 2.44/1.19 thf(decl_197, type, pn: pname). 2.44/1.19 thf(decl_198, type, y: com). 2.44/1.19 thf(decl_300, type, esk64_0: pname > hoare_1708887482_state). 2.44/1.19 thf(decl_301, type, esk65_0: pname > hoare_1708887482_state). 2.44/1.19 thf(fact_297_WT__bodiesD, axiom, ![X1561:pname, X1562:com]:((((wt @ X1562)<=((body @ X1561)=(some_com @ X1562)))<=(wT_bodies))), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', fact_297_WT__bodiesD)). 2.44/1.19 thf(fact_66_MGF, axiom, ![X572:com]:((((wT_bodies)=>((wt @ X572)=>(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X572) @ bot_bo19817387tate_o))))<=(hoare_1160767572gleton))), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', fact_66_MGF)). 2.44/1.19 thf(fact_374_the_Osimps, axiom, ![X1314:com]:(((the_com @ (some_com @ X1314))=(X1314))), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', fact_374_the_Osimps)). 2.44/1.19 thf(conj_1, hypothesis, (wT_bodies), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', conj_1)). 2.44/1.19 thf(fact_4_cut, axiom, ![X2033:hoare_1708887482_state > $o, X2034:hoare_1708887482_state > $o, X2035:hoare_1708887482_state > $o]:((((hoare_90032982_state @ X2033 @ X2035)<=(hoare_90032982_state @ X2033 @ X2034))<=(hoare_90032982_state @ X2034 @ X2035))), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', fact_4_cut)). 2.44/1.19 thf(conj_0, hypothesis, (hoare_1160767572gleton), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', conj_0)). 2.44/1.19 thf(conj_5, hypothesis, ((body @ pn)=(some_com @ y)), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', conj_5)). 2.44/1.19 thf(conj_7, conjecture, (hoare_90032982_state @ (image_1116629049_state @ (^[X1660:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X1660))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', conj_7)). 2.44/1.19 thf(fact_0_empty, axiom, ![X531:hoare_1708887482_state > $o]:((hoare_90032982_state @ X531 @ bot_bo19817387tate_o)), file('/export/starexec/sandbox/tmp/tmp.wwBjT45bkD/E---3.1_15533.p', fact_0_empty)). 2.44/1.19 thf(c_0_9, plain, ![X1561:pname, X1562:com]:(((wT_bodies)=>(((body @ X1561)=(some_com @ X1562))=>(wt @ X1562)))), inference(fof_simplification,[status(thm)],[fact_297_WT__bodiesD])). 2.44/1.19 thf(c_0_10, plain, ![X572:com]:(((hoare_1160767572gleton)=>((wT_bodies)=>((wt @ X572)=>(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X572) @ bot_bo19817387tate_o)))))), inference(fof_simplification,[status(thm)],[fact_66_MGF])). 2.44/1.19 thf(c_0_11, plain, ![X4390:pname, X4391:com]:((~(wT_bodies)|(((body @ X4390)!=(some_com @ X4391))|(wt @ X4391)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 2.44/1.19 thf(c_0_12, plain, ![X4392:com]:((~(hoare_1160767572gleton)|(~(wT_bodies)|(~(wt @ X4392)|(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X4392) @ bot_bo19817387tate_o)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])). 2.44/1.19 thf(c_0_13, plain, ![X4726:com]:(((the_com @ (some_com @ X4726))=(X4726))), inference(variable_rename,[status(thm)],[fact_374_the_Osimps])). 2.44/1.19 thf(c_0_14, plain, ![X8:pname, X32:com]:(((wt @ X32)|~((wT_bodies))|((body @ X8)!=(some_com @ X32)))), inference(split_conjunct,[status(thm)],[c_0_11])). 2.44/1.19 thf(c_0_15, hypothesis, (wT_bodies), inference(split_conjunct,[status(thm)],[conj_1])). 2.44/1.19 thf(c_0_16, plain, ![X2033:hoare_1708887482_state > $o, X2034:hoare_1708887482_state > $o, X2035:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X2034 @ X2035)=>((hoare_90032982_state @ X2033 @ X2034)=>(hoare_90032982_state @ X2033 @ X2035)))), inference(fof_simplification,[status(thm)],[fact_4_cut])). 2.44/1.19 thf(c_0_17, plain, ![X32:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X32) @ bot_bo19817387tate_o))|~((hoare_1160767572gleton))|~((wT_bodies))|~((wt @ X32)))), inference(split_conjunct,[status(thm)],[c_0_12])). 2.44/1.19 thf(c_0_18, hypothesis, (hoare_1160767572gleton), inference(split_conjunct,[status(thm)],[conj_0])). 2.44/1.19 thf(c_0_19, plain, ![X5739:pname]:(((esk65_0 @ X5739)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X5739))))), inference(variable_rename,[status(thm)],[])). 2.44/1.19 thf(c_0_20, plain, ![X32:com]:(((the_com @ (some_com @ X32))=(X32))), inference(split_conjunct,[status(thm)],[c_0_13])). 2.44/1.19 thf(c_0_21, hypothesis, ((body @ pn)=(some_com @ y)), inference(split_conjunct,[status(thm)],[conj_5])). 2.44/1.19 thf(c_0_22, plain, ![X8:pname, X32:com]:(((wt @ X32)|((body @ X8)!=(some_com @ X32)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])). 2.44/1.19 thf(c_0_23, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0/* 88 */: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)],[inference(assume_negation,[status(cth)],[conj_7])])])). 2.44/1.19 thf(c_0_24, plain, ![X4407:hoare_1708887482_state > $o, X4408:hoare_1708887482_state > $o, X4409:hoare_1708887482_state > $o]:((~(hoare_90032982_state @ X4408 @ X4409)|(~(hoare_90032982_state @ X4407 @ X4408)|(hoare_90032982_state @ X4407 @ X4409)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])). 2.44/1.19 thf(c_0_25, plain, ![X4400:hoare_1708887482_state > $o]:((hoare_90032982_state @ X4400 @ bot_bo19817387tate_o)), inference(variable_rename,[status(thm)],[fact_0_empty])). 2.44/1.19 thf(c_0_26, plain, ![X32:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X32) @ bot_bo19817387tate_o))|~((wt @ X32)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_15]), c_0_18])])). 2.44/1.19 thf(c_0_27, plain, ![X8:pname]:(((esk65_0 @ X8)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X8))))), inference(split_conjunct,[status(thm)],[c_0_19])). 2.44/1.19 thf(c_0_28, hypothesis, ((the_com @ (body @ pn))=(y)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 2.44/1.19 thf(c_0_29, hypothesis, ![X8:pname]:(((wt @ y)|((body @ X8)!=(body @ pn)))), inference(spm,[status(thm)],[c_0_22, c_0_21])). 2.44/1.19 thf(c_0_30, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0/* 88 */: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_23])). 2.44/1.19 thf(c_0_31, plain, ![X5680:pname]:(((esk64_0 @ X5680)=(hoare_Mirabelle_MGT @ (body_1 @ X5680)))), introduced(definition)). 2.44/1.19 thf(c_0_32, plain, ![X48:hoare_1708887482_state > $o, X46:hoare_1708887482_state > $o, X28:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X48 @ X46)|~((hoare_90032982_state @ X28 @ X46))|~((hoare_90032982_state @ X48 @ X28)))), inference(split_conjunct,[status(thm)],[c_0_24])). 2.44/1.19 thf(c_0_33, plain, ![X28:hoare_1708887482_state > $o]:((hoare_90032982_state @ X28 @ bot_bo19817387tate_o)), inference(split_conjunct,[status(thm)],[c_0_25])). 2.44/1.19 thf(c_0_34, plain, ![X8:pname]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (esk65_0 @ X8) @ bot_bo19817387tate_o))|~((wt @ (the_com @ (body @ X8)))))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 2.44/1.19 thf(c_0_35, hypothesis, ((esk65_0 @ pn)=(hoare_Mirabelle_MGT @ y)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 2.44/1.19 thf(c_0_36, hypothesis, (wt @ y), inference(er,[status(thm)],[c_0_29])). 2.44/1.19 thf(c_0_37, negated_conjecture, ~((((hoare_90032982_state @ (image_1116629049_state @ esk64_0 @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_30]), c_0_31])). 2.44/1.19 thf(c_0_38, plain, ![X28:hoare_1708887482_state > $o, X46:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X28 @ X46)|~((hoare_90032982_state @ bot_bo19817387tate_o @ X46)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 2.44/1.19 thf(c_0_39, hypothesis, (hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_28]), c_0_36])])). 2.44/1.19 thf(c_0_40, negated_conjecture, ~((hoare_90032982_state @ (image_1116629049_state @ esk64_0 @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o))), inference(cn,[status(thm)],[c_0_37])). 2.44/1.19 thf(c_0_41, hypothesis, ![X28:hoare_1708887482_state > $o]:((hoare_90032982_state @ X28 @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 2.44/1.19 thf(c_0_42, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])]), ['proof']). 2.44/1.19 # SZS output end CNFRefutation 2.44/1.19 # Parsed axioms : 1408 2.44/1.19 # Removed by relevancy pruning/SinE : 940 2.44/1.19 # Initial clauses : 714 2.44/1.19 # Removed in clause preprocessing : 19 2.44/1.19 # Initial clauses in saturation : 695 2.44/1.19 # Processed clauses : 2390 2.44/1.19 # ...of these trivial : 76 2.44/1.19 # ...subsumed : 821 2.44/1.19 # ...remaining for further processing : 1493 2.44/1.19 # Other redundant clauses eliminated : 178 2.44/1.19 # Clauses deleted for lack of memory : 0 2.44/1.19 # Backward-subsumed : 2 2.44/1.19 # Backward-rewritten : 10 2.44/1.19 # Generated clauses : 12426 2.44/1.19 # ...of the previous two non-redundant : 10914 2.44/1.19 # ...aggressively subsumed : 0 2.44/1.19 # Contextual simplify-reflections : 4 2.44/1.19 # Paramodulations : 11592 2.44/1.19 # Factorizations : 16 2.44/1.19 # NegExts : 46 2.44/1.19 # Equation resolutions : 190 2.44/1.19 # Disequality decompositions : 0 2.44/1.19 # Total rewrite steps : 4236 2.44/1.19 # ...of those cached : 3755 2.44/1.19 # Propositional unsat checks : 0 2.44/1.19 # Propositional check models : 0 2.44/1.19 # Propositional check unsatisfiable : 0 2.44/1.19 # Propositional clauses : 0 2.44/1.19 # Propositional clauses after purity: 0 2.44/1.19 # Propositional unsat core size : 0 2.44/1.19 # Propositional preprocessing time : 0.000 2.44/1.19 # Propositional encoding time : 0.000 2.44/1.19 # Propositional solver time : 0.000 2.44/1.19 # Success case prop preproc time : 0.000 2.44/1.19 # Success case prop encoding time : 0.000 2.44/1.19 # Success case prop solver time : 0.000 2.44/1.19 # Current number of processed clauses : 792 2.44/1.19 # Positive orientable unit clauses : 118 2.44/1.19 # Positive unorientable unit clauses: 7 2.44/1.19 # Negative unit clauses : 32 2.44/1.19 # Non-unit-clauses : 635 2.44/1.19 # Current number of unprocessed clauses: 9652 2.44/1.19 # ...number of literals in the above : 28966 2.44/1.19 # Current number of archived formulas : 0 2.44/1.19 # Current number of archived clauses : 638 2.44/1.19 # Clause-clause subsumption calls (NU) : 104032 2.44/1.19 # Rec. Clause-clause subsumption calls : 52261 2.44/1.19 # Non-unit clause-clause subsumptions : 510 2.44/1.19 # Unit Clause-clause subsumption calls : 2157 2.44/1.19 # Rewrite failures with RHS unbound : 0 2.44/1.19 # BW rewrite match attempts : 1277 2.44/1.19 # BW rewrite match successes : 146 2.44/1.19 # Condensation attempts : 2390 2.44/1.19 # Condensation successes : 22 2.44/1.19 # Termbank termtop insertions : 250783 2.44/1.19 # Search garbage collected termcells : 23744 2.44/1.19 2.44/1.19 # ------------------------------------------------- 2.44/1.19 # User time : 0.455 s 2.44/1.19 # System time : 0.024 s 2.44/1.19 # Total time : 0.479 s 2.44/1.19 # Maximum resident set size: 7964 pages 2.44/1.19 2.44/1.19 # ------------------------------------------------- 2.44/1.19 # User time : 0.497 s 2.44/1.19 # System time : 0.027 s 2.44/1.19 # Total time : 0.524 s 2.44/1.19 # Maximum resident set size: 5288 pages 2.44/1.19 % E exiting 2.44/1.19 % E exiting 2.44/1.19 EOF