0.07/0.12 % Problem : SLH111^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n006.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 : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 02:25:59 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.47 The problem SPC is TH0_THM_EQU_NAR 0.20/0.47 Running higher-order on 1 cores theorem proving 0.20/0.47 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=1 --cpu-limit=30 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.47 # Version: 3.0pre003-ho 0.20/0.52 # Preprocessing class: HSLSSMSSSSSNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting full_lambda_9 with 30s (1) cores 0.20/0.52 # full_lambda_9 with pid 24235 completed with status 0 0.20/0.52 # Result found by full_lambda_9 0.20/0.52 # Preprocessing class: HSLSSMSSSSSNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting full_lambda_9 with 30s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 0.20/0.52 # ...ProofStateSinE()=188/290 0.20/0.52 # Search class: HGHSM-FSLM21-MHSFFSBN 0.20/0.52 # partial match(1): HGHSM-FSLM31-MHSFFSBN 0.20/0.52 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting almost_fo_1 with 17s (1) cores 0.20/0.52 # almost_fo_1 with pid 24244 completed with status 0 0.20/0.52 # Result found by almost_fo_1 0.20/0.52 # Preprocessing class: HSLSSMSSSSSNHSA. 0.20/0.52 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting full_lambda_9 with 30s (1) cores 0.20/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 0.20/0.52 # ...ProofStateSinE()=188/290 0.20/0.52 # Search class: HGHSM-FSLM21-MHSFFSBN 0.20/0.52 # partial match(1): HGHSM-FSLM31-MHSFFSBN 0.20/0.52 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.20/0.52 # Starting almost_fo_1 with 17s (1) cores 0.20/0.52 # Preprocessing time : 0.004 s 0.20/0.52 # Presaturation interreduction done 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status Theorem 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_22, type, condit1627435690bove_a: (a > a > $o) > set_a > $o). 0.20/0.52 thf(decl_23, type, condit1001553558elow_a: (a > a > $o) > set_a > $o). 0.20/0.52 thf(decl_24, type, finite40241356em_a_a: (a > a > a) > $o). 0.20/0.52 thf(decl_25, type, abel_semigroup_a: (a > a > a) > $o). 0.20/0.52 thf(decl_26, type, semigroup_a: (a > a > a) > $o). 0.20/0.52 thf(decl_27, type, lattice_a: (a > a > a) > (a > a > $o) > (a > a > $o) > (a > a > a) > $o). 0.20/0.52 thf(decl_28, type, semilattice_a: (a > a > a) > $o). 0.20/0.52 thf(decl_29, type, semilattice_order_a: (a > a > a) > (a > a > $o) > (a > a > $o) > $o). 0.20/0.52 thf(decl_30, type, lattic655834328_set_a: (a > a > a) > (a > a > $o) > (a > a > $o) > $o). 0.20/0.52 thf(decl_31, type, lattic1885654924_set_a: (a > a > a) > $o). 0.20/0.52 thf(decl_32, type, modula1376131916tice_a: (a > a > a) > (a > a > $o) > (a > a > a) > a > a > a > $o). 0.20/0.53 thf(decl_33, type, modula397570059tice_a: (a > a > a) > (a > a > $o) > (a > a > a) > a > a > a > $o). 0.20/0.53 thf(decl_34, type, modula17988509_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 0.20/0.53 thf(decl_35, type, modula1373251614_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 0.20/0.53 thf(decl_36, type, modula581031071_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 0.20/0.53 thf(decl_37, type, modula1936294176_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 0.20/0.53 thf(decl_38, type, modula1144073633_aux_a: (a > a > a) > (a > a > a) > a > a > a > a). 0.20/0.53 thf(decl_39, type, modula1727524044comp_a: (a > a > $o) > a > a > $o). 0.20/0.53 thf(decl_40, type, modula1962211574trib_a: (a > a > a) > (a > a > $o) > (a > a > a) > a > a > a > $o). 0.20/0.53 thf(decl_41, type, least_a: (a > a > $o) > (a > $o) > a). 0.20/0.53 thf(decl_42, type, max_a: (a > a > $o) > a > a > a). 0.20/0.53 thf(decl_43, type, min_a: (a > a > $o) > a > a > a). 0.20/0.53 thf(decl_44, type, greatest_a: (a > a > $o) > (a > $o) > a). 0.20/0.53 thf(decl_45, type, ordering_a: (a > a > $o) > (a > a > $o) > $o). 0.20/0.53 thf(decl_46, type, collect_a: (a > $o) > set_a). 0.20/0.53 thf(decl_47, type, set_gr1491433118Than_a: (a > a > $o) > a > a > set_a). 0.20/0.53 thf(decl_48, type, member_a: a > set_a > $o). 0.20/0.53 thf(decl_49, type, inf: a > a > a). 0.20/0.53 thf(decl_50, type, less: a > a > $o). 0.20/0.53 thf(decl_51, type, less_eq: a > a > $o). 0.20/0.53 thf(decl_52, type, sup: a > a > a). 0.20/0.53 thf(decl_53, type, x: a). 0.20/0.53 thf(decl_54, type, y: a). 0.20/0.53 thf(decl_55, type, z: a). 0.20/0.53 thf(decl_56, type, esk1_1: (a > a > a) > a). 0.20/0.53 thf(decl_57, type, esk2_1: (a > a > a) > a). 0.20/0.53 thf(decl_58, type, esk3_1: (a > a > a) > a). 0.20/0.53 thf(decl_59, type, esk4_1: (a > a > a) > a). 0.20/0.53 thf(decl_60, type, esk5_1: (a > a > a) > a). 0.20/0.53 thf(decl_61, type, esk6_1: (a > a > a) > a). 0.20/0.53 thf(decl_62, type, esk7_1: (a > a > a) > a). 0.20/0.53 thf(decl_63, type, esk8_0: a). 0.20/0.53 thf(decl_64, type, esk9_0: a). 0.20/0.53 thf(decl_65, type, esk10_0: a). 0.20/0.53 thf(decl_66, type, esk11_0: a). 0.20/0.53 thf(decl_67, type, esk12_0: a). 0.20/0.53 thf(decl_68, type, esk13_0: a). 0.20/0.53 thf(decl_69, type, esk14_1: (a > a > a) > a). 0.20/0.53 thf(decl_70, type, esk15_1: (a > a > a) > a). 0.20/0.53 thf(decl_71, type, esk16_1: (a > a > a) > a). 0.20/0.53 thf(decl_72, type, esk17_1: (a > a > a) > a). 0.20/0.53 thf(decl_73, type, esk18_1: (a > a > a) > a). 0.20/0.53 thf(decl_74, type, esk19_1: (a > a > a) > a). 0.20/0.53 thf(decl_75, type, esk20_1: (a > a > a) > a). 0.20/0.53 thf(fact_74_local_Oinf_OboundedE, axiom, ![X4:a, X3:a, X9:a]:(((less_eq @ X4 @ (inf @ X3 @ X9))=>~(((less_eq @ X4 @ X3)=>~((less_eq @ X4 @ X9)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_74_local_Oinf_OboundedE)). 0.20/0.53 thf(fact_50_local_Odual__order_Oorder__iff__strict, axiom, ![X3:a, X4:a]:(((less_eq @ X3 @ X4)<=>((less @ X3 @ X4)|((X4)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_50_local_Odual__order_Oorder__iff__strict)). 0.20/0.53 thf(conj_4, conjecture, (less_eq @ (inf @ (sup @ x @ (inf @ y @ z)) @ z) @ y), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_4)). 0.20/0.53 thf(fact_33_local_Oinf_Ocommute, axiom, ![X4:a, X3:a]:(((inf @ X4 @ X3)=(inf @ X3 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_33_local_Oinf_Ocommute)). 0.20/0.53 thf(conj_3, hypothesis, (less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_3)). 0.20/0.53 thf(fact_79_local_Oinf_OcoboundedI2, axiom, ![X3:a, X9:a, X4:a]:(((less_eq @ X3 @ X9)=>(less_eq @ (inf @ X4 @ X3) @ X9))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_79_local_Oinf_OcoboundedI2)). 0.20/0.53 thf(c_0_6, plain, ![X4:a, X3:a, X9:a]:(((less_eq @ X4 @ (inf @ X3 @ X9))=>~(((less_eq @ X4 @ X3)=>~(less_eq @ X4 @ X9))))), inference(fof_simplification,[status(thm)],[fact_74_local_Oinf_OboundedE])). 0.20/0.53 thf(c_0_7, plain, ![X735:a, X736:a]:(((~(less_eq @ X735 @ X736)|((less @ X735 @ X736)|((X736)=(X735))))&((~(less @ X735 @ X736)|(less_eq @ X735 @ X736))&(((X736)!=(X735))|(less_eq @ X735 @ X736))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_50_local_Odual__order_Oorder__iff__strict])])])). 0.20/0.53 thf(c_0_8, negated_conjecture, ~(less_eq @ (inf @ (sup @ x @ (inf @ y @ z)) @ z) @ y), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])])). 0.20/0.53 thf(c_0_9, plain, ![X903:a, X904:a]:(((inf @ X903 @ X904)=(inf @ X904 @ X903))), inference(variable_rename,[status(thm)],[fact_33_local_Oinf_Ocommute])). 0.20/0.53 thf(c_0_10, plain, ![X831:a, X832:a, X833:a]:((((less_eq @ X831 @ X832)|~(less_eq @ X831 @ (inf @ X832 @ X833)))&((less_eq @ X831 @ X833)|~(less_eq @ X831 @ (inf @ X832 @ X833))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 0.20/0.53 thf(c_0_11, plain, ![X1:a, X2:a]:(((less_eq @ X1 @ X2)|~((less @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.53 thf(c_0_12, hypothesis, (less @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z))), inference(split_conjunct,[status(thm)],[conj_3])). 0.20/0.53 thf(c_0_13, negated_conjecture, ~((less_eq @ (inf @ (sup @ x @ (inf @ y @ z)) @ z) @ y)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.20/0.53 thf(c_0_14, plain, ![X2:a, X1:a]:(((inf @ X1 @ X2)=(inf @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.20/0.53 thf(c_0_15, plain, ![X844:a, X845:a, X846:a]:((~(less_eq @ X844 @ X845)|(less_eq @ (inf @ X846 @ X844) @ X845))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_79_local_Oinf_OcoboundedI2])])). 0.20/0.53 thf(c_0_16, plain, ![X1:a, X2:a, X3:a]:(((less_eq @ X1 @ X2)|~((less_eq @ X1 @ (inf @ X2 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.20/0.53 thf(c_0_17, hypothesis, (less_eq @ (sup @ x @ (inf @ y @ z)) @ (inf @ y @ (sup @ x @ z))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.20/0.53 thf(c_0_18, negated_conjecture, ~((less_eq @ (inf @ z @ (sup @ x @ (inf @ y @ z))) @ y)), inference(rw,[status(thm)],[c_0_13, c_0_14])). 0.20/0.53 thf(c_0_19, plain, ![X1:a, X3:a, X2:a]:(((less_eq @ (inf @ X3 @ X1) @ X2)|~((less_eq @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.20/0.53 thf(c_0_20, hypothesis, (less_eq @ (sup @ x @ (inf @ y @ z)) @ y), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.20/0.53 thf(c_0_21, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])]), ['proof']). 0.20/0.53 # SZS output end CNFRefutation 0.20/0.53 # Parsed axioms : 290 0.20/0.53 # Removed by relevancy pruning/SinE : 102 0.20/0.53 # Initial clauses : 244 0.20/0.53 # Removed in clause preprocessing : 5 0.20/0.53 # Initial clauses in saturation : 239 0.20/0.53 # Processed clauses : 446 0.20/0.53 # ...of these trivial : 17 0.20/0.53 # ...subsumed : 181 0.20/0.53 # ...remaining for further processing : 248 0.20/0.53 # Other redundant clauses eliminated : 21 0.20/0.53 # Clauses deleted for lack of memory : 0 0.20/0.53 # Backward-subsumed : 9 0.20/0.53 # Backward-rewritten : 3 0.20/0.53 # Generated clauses : 1070 0.20/0.53 # ...of the previous two non-redundant : 740 0.20/0.53 # ...aggressively subsumed : 0 0.20/0.53 # Contextual simplify-reflections : 3 0.20/0.53 # Paramodulations : 1042 0.20/0.53 # Factorizations : 0 0.20/0.53 # NegExts : 0 0.20/0.53 # Equation resolutions : 21 0.20/0.53 # Propositional unsat checks : 0 0.20/0.53 # Propositional check models : 0 0.20/0.53 # Propositional check unsatisfiable : 0 0.20/0.53 # Propositional clauses : 0 0.20/0.53 # Propositional clauses after purity: 0 0.20/0.53 # Propositional unsat core size : 0 0.20/0.53 # Propositional preprocessing time : 0.000 0.20/0.53 # Propositional encoding time : 0.000 0.20/0.53 # Propositional solver time : 0.000 0.20/0.53 # Success case prop preproc time : 0.000 0.20/0.53 # Success case prop encoding time : 0.000 0.20/0.53 # Success case prop solver time : 0.000 0.20/0.53 # Current number of processed clauses : 109 0.20/0.53 # Positive orientable unit clauses : 40 0.20/0.53 # Positive unorientable unit clauses: 4 0.20/0.53 # Negative unit clauses : 25 0.20/0.53 # Non-unit-clauses : 40 0.20/0.53 # Current number of unprocessed clauses: 631 0.20/0.53 # ...number of literals in the above : 1183 0.20/0.53 # Current number of archived formulas : 0 0.20/0.53 # Current number of archived clauses : 122 0.20/0.53 # Clause-clause subsumption calls (NU) : 3004 0.20/0.53 # Rec. Clause-clause subsumption calls : 2618 0.20/0.53 # Non-unit clause-clause subsumptions : 104 0.20/0.53 # Unit Clause-clause subsumption calls : 134 0.20/0.53 # Rewrite failures with RHS unbound : 0 0.20/0.53 # BW rewrite match attempts : 125 0.20/0.53 # BW rewrite match successes : 74 0.20/0.53 # Condensation attempts : 0 0.20/0.53 # Condensation successes : 0 0.20/0.53 # Termbank termtop insertions : 25434 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.040 s 0.20/0.53 # System time : 0.005 s 0.20/0.53 # Total time : 0.045 s 0.20/0.53 # Maximum resident set size: 2972 pages 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.049 s 0.20/0.53 # System time : 0.005 s 0.20/0.53 # Total time : 0.055 s 0.20/0.53 # Maximum resident set size: 1936 pages 0.20/0.53 EOF