0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n010.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 03:29:34 EDT 2025 0.18/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.52 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p 0.54/0.90 # Version: 3.0.0-ho 0.54/0.90 # Preprocessing class: HSLSSMSMSSMNSFA. 0.54/0.90 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.54/0.90 # Starting new_ho_3 with 1200s (5) cores 0.54/0.90 # Starting pre_casc_2 with 240s (1) cores 0.54/0.90 # Starting additional_ho_7 with 240s (1) cores 0.54/0.90 # Starting lpo8_s with 240s (1) cores 0.54/0.90 # new_ho_3 with pid 13913 completed with status 0 0.54/0.90 # Result found by new_ho_3 0.54/0.90 # Preprocessing class: HSLSSMSMSSMNSFA. 0.54/0.90 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.54/0.90 # Starting new_ho_3 with 1200s (5) cores 0.54/0.90 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.54/0.90 # Search class: HGHSM-FSLS32-SSFFFFBN 0.54/0.90 # partial match(1): HGHSM-FSLM32-SSFFFFBN 0.54/0.90 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.54/0.90 # Starting new_bool_3 with 649s (1) cores 0.54/0.90 # Starting new_ho_3 with 121s (1) cores 0.54/0.90 # Starting new_bool_1 with 109s (1) cores 0.54/0.90 # Starting new_bool_4 with 109s (1) cores 0.54/0.90 # Starting sh9 with 109s (1) cores 0.54/0.90 # new_ho_3 with pid 13920 completed with status 0 0.54/0.90 # Result found by new_ho_3 0.54/0.90 # Preprocessing class: HSLSSMSMSSMNSFA. 0.54/0.90 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.54/0.90 # Starting new_ho_3 with 1200s (5) cores 0.54/0.90 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.54/0.90 # Search class: HGHSM-FSLS32-SSFFFFBN 0.54/0.90 # partial match(1): HGHSM-FSLM32-SSFFFFBN 0.54/0.90 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.54/0.90 # Starting new_bool_3 with 649s (1) cores 0.54/0.90 # Starting new_ho_3 with 121s (1) cores 0.54/0.90 # Preprocessing time : 0.011 s 0.54/0.90 # Presaturation interreduction done 0.54/0.90 0.54/0.90 # Proof found! 0.54/0.90 # SZS status Theorem 0.54/0.90 # SZS output start CNFRefutation 0.54/0.90 thf(decl_sort1, type, secrecy_specID: $tType). 0.54/0.90 thf(decl_sort2, type, secrecy_KS: $tType). 0.54/0.90 thf(decl_sort3, type, set_Secrecy_specID: $tType). 0.54/0.90 thf(decl_sort4, type, secrecy_Expression: $tType). 0.54/0.90 thf(decl_sort5, type, secrecy_Keys: $tType). 0.54/0.90 thf(decl_25, type, knowle945212990e_know: secrecy_specID > secrecy_KS > $o). 0.54/0.90 thf(decl_41, type, bot_bo1785112429specID: set_Secrecy_specID). 0.54/0.90 thf(decl_47, type, ine: secrecy_specID > secrecy_Expression > $o). 0.54/0.90 thf(decl_59, type, secrecy_kE: secrecy_Keys > secrecy_Expression). 0.54/0.90 thf(decl_62, type, secrecy_kKS: secrecy_Keys > secrecy_KS). 0.54/0.90 thf(decl_73, type, insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID). 0.54/0.90 thf(decl_81, type, correctCompositionIn: secrecy_specID > $o). 0.54/0.90 thf(decl_90, type, subcomponents: secrecy_specID > set_Secrecy_specID). 0.54/0.90 thf(decl_96, type, p: secrecy_specID). 0.54/0.90 thf(decl_97, type, pq: secrecy_specID). 0.54/0.90 thf(decl_98, type, q: secrecy_specID). 0.54/0.90 thf(decl_99, type, key: secrecy_Keys). 0.54/0.90 thf(fact_35_TBtheorem1a, axiom, ![X4:secrecy_specID, X18:secrecy_Expression, X5:secrecy_specID, X6:secrecy_specID]:(((ine @ X4 @ X18)=>((((ine @ X6 @ X18)|(ine @ X5 @ X18))<=(correctCompositionIn @ X4))<=((subcomponents @ X4)=(insert1671894227specID @ X5 @ (insert1671894227specID @ X6 @ bot_bo1785112429specID)))))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_35_TBtheorem1a)). 0.54/0.90 thf(fact_2_assms_I1_J, axiom, ~((knowle945212990e_know @ p @ (secrecy_kKS @ key))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_2_assms_I1_J)). 0.54/0.90 thf(fact_5_not__know__k__not__ine, axiom, ![X76:secrecy_specID, X77:secrecy_Keys]:((~((knowle945212990e_know @ X76 @ (secrecy_kKS @ X77)))=>~((ine @ X76 @ (secrecy_kE @ X77))))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_5_not__know__k__not__ine)). 0.54/0.90 thf(fact_1_assms_I2_J, axiom, ~((knowle945212990e_know @ q @ (secrecy_kKS @ key))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_1_assms_I2_J)). 0.54/0.90 thf(fact_3_assms_I3_J, axiom, ((subcomponents @ pq)=(insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_3_assms_I3_J)). 0.54/0.90 thf(conj_0, conjecture, ~((ine @ pq @ (secrecy_kE @ key))), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', conj_0)). 0.54/0.90 thf(fact_0_assms_I4_J, axiom, (correctCompositionIn @ pq), file('/export/starexec/sandbox2/tmp/tmp.KSHD0k6AlY/E---3.1_13835.p', fact_0_assms_I4_J)). 0.54/0.90 thf(c_0_7, plain, ![X4:secrecy_specID, X18:secrecy_Expression, X5:secrecy_specID, X6:secrecy_specID]:(((ine @ X4 @ X18)=>(((subcomponents @ X4)=(insert1671894227specID @ X5 @ (insert1671894227specID @ X6 @ bot_bo1785112429specID)))=>((correctCompositionIn @ X4)=>((ine @ X6 @ X18)|(ine @ X5 @ X18)))))), inference(fof_simplification,[status(thm)],[fact_35_TBtheorem1a])). 0.54/0.90 thf(c_0_8, plain, ~(knowle945212990e_know @ p @ (secrecy_kKS @ key)), inference(fof_simplification,[status(thm)],[fact_2_assms_I1_J])). 0.54/0.90 thf(c_0_9, plain, ![X76:secrecy_specID, X77:secrecy_Keys]:((~(knowle945212990e_know @ X76 @ (secrecy_kKS @ X77))=>~(ine @ X76 @ (secrecy_kE @ X77)))), inference(fof_simplification,[status(thm)],[fact_5_not__know__k__not__ine])). 0.54/0.90 thf(c_0_10, plain, ~(knowle945212990e_know @ q @ (secrecy_kKS @ key)), inference(fof_simplification,[status(thm)],[fact_1_assms_I2_J])). 0.54/0.90 thf(c_0_11, plain, ![X1501:secrecy_specID, X1502:secrecy_Expression, X1503:secrecy_specID, X1504:secrecy_specID]:((~(ine @ X1501 @ X1502)|(((subcomponents @ X1501)!=(insert1671894227specID @ X1503 @ (insert1671894227specID @ X1504 @ bot_bo1785112429specID)))|(~(correctCompositionIn @ X1501)|((ine @ X1504 @ X1502)|(ine @ X1503 @ X1502)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 0.54/0.90 thf(c_0_12, plain, ~(knowle945212990e_know @ p @ (secrecy_kKS @ key)), inference(fof_nnf,[status(thm)],[c_0_8])). 0.54/0.90 thf(c_0_13, plain, ![X1448:secrecy_specID, X1449:secrecy_Keys]:(((knowle945212990e_know @ X1448 @ (secrecy_kKS @ X1449))|~(ine @ X1448 @ (secrecy_kE @ X1449)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 0.54/0.90 thf(c_0_14, plain, ~(knowle945212990e_know @ q @ (secrecy_kKS @ key)), inference(fof_nnf,[status(thm)],[c_0_10])). 0.54/0.90 thf(c_0_15, plain, ![X18:secrecy_Expression, X5:secrecy_specID, X4:secrecy_specID, X3:secrecy_specID]:(((ine @ X5 @ X18)|(ine @ X4 @ X18)|~((ine @ X3 @ X18))|((subcomponents @ X3)!=(insert1671894227specID @ X4 @ (insert1671894227specID @ X5 @ bot_bo1785112429specID)))|~((correctCompositionIn @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.54/0.90 thf(c_0_16, plain, ((subcomponents @ pq)=(insert1671894227specID @ p @ (insert1671894227specID @ q @ bot_bo1785112429specID))), inference(split_conjunct,[status(thm)],[fact_3_assms_I3_J])). 0.54/0.90 thf(c_0_17, negated_conjecture, (ine @ pq @ (secrecy_kE @ key)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.54/0.90 thf(c_0_18, plain, ~((knowle945212990e_know @ p @ (secrecy_kKS @ key))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.54/0.90 thf(c_0_19, plain, ![X3:secrecy_specID, X42:secrecy_Keys]:(((knowle945212990e_know @ X3 @ (secrecy_kKS @ X42))|~((ine @ X3 @ (secrecy_kE @ X42))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.54/0.90 thf(c_0_20, plain, ~((knowle945212990e_know @ q @ (secrecy_kKS @ key))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.54/0.90 thf(c_0_21, plain, ![X18:secrecy_Expression, X3:secrecy_specID]:(((ine @ p @ X18)|(ine @ q @ X18)|((subcomponents @ X3)!=(subcomponents @ pq))|~((ine @ X3 @ X18))|~((correctCompositionIn @ X3)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.54/0.90 thf(c_0_22, negated_conjecture, (ine @ pq @ (secrecy_kE @ key)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.54/0.90 thf(c_0_23, plain, (correctCompositionIn @ pq), inference(split_conjunct,[status(thm)],[fact_0_assms_I4_J])). 0.54/0.90 thf(c_0_24, plain, ~((ine @ p @ (secrecy_kE @ key))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.54/0.90 thf(c_0_25, plain, ~((ine @ q @ (secrecy_kE @ key))), inference(spm,[status(thm)],[c_0_20, c_0_19])). 0.54/0.90 thf(c_0_26, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])]), c_0_24]), c_0_25]), ['proof']). 0.54/0.90 # SZS output end CNFRefutation 0.54/0.90 # Parsed axioms : 446 0.54/0.90 # Removed by relevancy pruning/SinE : 143 0.54/0.90 # Initial clauses : 625 0.54/0.90 # Removed in clause preprocessing : 27 0.54/0.90 # Initial clauses in saturation : 598 0.54/0.90 # Processed clauses : 2909 0.54/0.90 # ...of these trivial : 71 0.54/0.90 # ...subsumed : 1617 0.54/0.90 # ...remaining for further processing : 1221 0.54/0.90 # Other redundant clauses eliminated : 237 0.54/0.90 # Clauses deleted for lack of memory : 0 0.54/0.90 # Backward-subsumed : 10 0.54/0.90 # Backward-rewritten : 17 0.54/0.90 # Generated clauses : 9580 0.54/0.90 # ...of the previous two non-redundant : 8545 0.54/0.90 # ...aggressively subsumed : 0 0.54/0.90 # Contextual simplify-reflections : 24 0.54/0.90 # Paramodulations : 9358 0.54/0.90 # Factorizations : 0 0.54/0.90 # NegExts : 0 0.54/0.90 # Equation resolutions : 258 0.54/0.90 # Disequality decompositions : 0 0.54/0.90 # Total rewrite steps : 3146 0.54/0.90 # ...of those cached : 2674 0.54/0.90 # Propositional unsat checks : 0 0.54/0.90 # Propositional check models : 0 0.54/0.90 # Propositional check unsatisfiable : 0 0.54/0.90 # Propositional clauses : 0 0.54/0.90 # Propositional clauses after purity: 0 0.54/0.90 # Propositional unsat core size : 0 0.54/0.90 # Propositional preprocessing time : 0.000 0.54/0.90 # Propositional encoding time : 0.000 0.54/0.90 # Propositional solver time : 0.000 0.54/0.90 # Success case prop preproc time : 0.000 0.54/0.90 # Success case prop encoding time : 0.000 0.54/0.90 # Success case prop solver time : 0.000 0.54/0.90 # Current number of processed clauses : 741 0.54/0.90 # Positive orientable unit clauses : 74 0.54/0.90 # Positive unorientable unit clauses: 9 0.54/0.90 # Negative unit clauses : 21 0.54/0.90 # Non-unit-clauses : 637 0.54/0.90 # Current number of unprocessed clauses: 6568 0.54/0.90 # ...number of literals in the above : 24259 0.54/0.90 # Current number of archived formulas : 0 0.54/0.90 # Current number of archived clauses : 398 0.54/0.90 # Clause-clause subsumption calls (NU) : 177983 0.54/0.90 # Rec. Clause-clause subsumption calls : 62321 0.54/0.90 # Non-unit clause-clause subsumptions : 1393 0.54/0.90 # Unit Clause-clause subsumption calls : 601 0.54/0.90 # Rewrite failures with RHS unbound : 0 0.54/0.90 # BW rewrite match attempts : 180 0.54/0.90 # BW rewrite match successes : 130 0.54/0.90 # Condensation attempts : 2909 0.54/0.90 # Condensation successes : 6 0.54/0.90 # Termbank termtop insertions : 184804 0.54/0.90 # Search garbage collected termcells : 16668 0.54/0.90 0.54/0.90 # ------------------------------------------------- 0.54/0.90 # User time : 0.315 s 0.54/0.90 # System time : 0.013 s 0.54/0.90 # Total time : 0.328 s 0.54/0.90 # Maximum resident set size: 5384 pages 0.54/0.90 0.54/0.90 # ------------------------------------------------- 0.54/0.90 # User time : 1.421 s 0.54/0.90 # System time : 0.058 s 0.54/0.90 # Total time : 1.479 s 0.54/0.90 # Maximum resident set size: 2640 pages 0.54/0.90 % E exiting 0.54/0.90 % E exiting 2.89/0.90 EOF