0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n023.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 06:52:27 EDT 2022 0.10/0.32 % CPUTime : 0.17/0.48 Running higher-order on 8 cores theorem proving 0.17/0.48 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.48 # Version: 3.0pre003-ho 0.17/0.53 # Preprocessing class: HSMMSLSSLLLNHFA. 0.17/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.53 # Starting new_ho_10_cnf2 with 600s (5) cores 0.17/0.53 # Starting post_as_ho1 with 120s (1) cores 0.17/0.53 # Starting post_as_ho5 with 120s (1) cores 0.17/0.53 # Starting post_as_ho10 with 120s (1) cores 0.17/0.53 # post_as_ho1 with pid 24538 completed with status 0 0.17/0.53 # Result found by post_as_ho1 0.17/0.53 # Preprocessing class: HSMMSLSSLLLNHFA. 0.17/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.53 # Starting new_ho_10_cnf2 with 600s (5) cores 0.17/0.53 # Starting post_as_ho1 with 120s (1) cores 0.17/0.53 # No SInE strategy applied 0.17/0.53 # Search class: HGHSS-FFSF32-SHFMMMBN 0.17/0.53 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.17/0.53 # Starting post_as_ho10 with 54s (1) cores 0.17/0.53 # post_as_ho10 with pid 24548 completed with status 0 0.17/0.53 # Result found by post_as_ho10 0.17/0.53 # Preprocessing class: HSMMSLSSLLLNHFA. 0.17/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.53 # Starting new_ho_10_cnf2 with 600s (5) cores 0.17/0.53 # Starting post_as_ho1 with 120s (1) cores 0.17/0.53 # No SInE strategy applied 0.17/0.53 # Search class: HGHSS-FFSF32-SHFMMMBN 0.17/0.53 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.17/0.53 # Starting post_as_ho10 with 54s (1) cores 0.17/0.53 # Preprocessing time : 0.003 s 0.17/0.53 # Presaturation interreduction done 0.17/0.53 0.17/0.53 # Proof found! 0.17/0.53 # SZS status Theorem 0.17/0.53 # SZS output start CNFRefutation 0.17/0.53 thf(decl_22, type, one: term). 0.17/0.53 thf(decl_23, type, ap: term > term > term). 0.17/0.53 thf(decl_24, type, lam: term > term). 0.17/0.53 thf(decl_25, type, sub: term > subst > term). 0.17/0.53 thf(decl_26, type, id: subst). 0.17/0.53 thf(decl_27, type, sh: subst). 0.17/0.53 thf(decl_28, type, push: term > subst > subst). 0.17/0.53 thf(decl_29, type, comp: subst > subst > subst). 0.17/0.53 thf(decl_30, type, var: term > $o). 0.17/0.53 thf(decl_31, type, pushprop_lem1v2: $o). 0.17/0.53 thf(decl_32, type, pushprop_lem1_gthm: $o). 0.17/0.53 thf(decl_33, type, axmap: $o). 0.17/0.53 thf(decl_34, type, pushprop_lem0_gthm: $o). 0.17/0.53 thf(decl_35, type, shinj: $o). 0.17/0.53 thf(decl_36, type, hoasinduction_lem1v2: $o). 0.17/0.53 thf(decl_37, type, hoasinduction_lem1v2_gthm: $o). 0.17/0.53 thf(decl_38, type, hoasap: subst > term > subst > term > term). 0.17/0.53 thf(decl_39, type, induction2lem: $o). 0.17/0.53 thf(decl_40, type, hoasinduction_lem3v2_f: $o). 0.17/0.53 thf(decl_41, type, axvarshift: $o). 0.17/0.53 thf(decl_42, type, hoasapinj2: $o). 0.17/0.53 thf(decl_43, type, hoasapnotvar_gthm: $o). 0.17/0.53 thf(decl_44, type, hoasapinj1: $o). 0.17/0.53 thf(decl_45, type, ulamvar1: $o). 0.17/0.53 thf(decl_46, type, induction2lem_lthm: $o). 0.17/0.53 thf(decl_47, type, hoasinduction_lem3v2_gthm: $o). 0.17/0.53 thf(decl_48, type, apnotvar: $o). 0.17/0.53 thf(decl_49, type, pushprop_lthm_orig: $o). 0.17/0.53 thf(decl_50, type, hoasinduction_lem3v2_f_lthm: $o). 0.17/0.53 thf(decl_51, type, hoasinduction_lthm: $o). 0.17/0.53 thf(decl_52, type, hoasinduction_no_psi_cond_lthm: $o). 0.17/0.53 thf(decl_53, type, hoaslaminj: $o). 0.17/0.53 thf(decl_54, type, hoasinduction_lem3aaa: $o). 0.17/0.53 thf(decl_55, type, induction2lem_gthm: $o). 0.17/0.53 thf(decl_56, type, hoasinduction_lem3aa_lthm: $o). 0.17/0.53 thf(decl_57, type, hoasinduction_lem3: $o). 0.17/0.53 thf(decl_58, type, hoasinduction_lem2: $o). 0.17/0.53 thf(decl_59, type, termmset_lthm: $o). 0.17/0.53 thf(decl_60, type, hoasinduction_lem1: $o). 0.17/0.53 thf(decl_61, type, hoaslamnotap_lthm: $o). 0.17/0.53 thf(decl_62, type, pushprop_lem1v2_lthm: $o). 0.17/0.53 thf(decl_63, type, hoasapnotvar: $o). 0.17/0.53 thf(decl_64, type, hoasinduction_lem0: $o). 0.17/0.53 thf(decl_65, type, hoasinduction: $o). 0.17/0.53 thf(decl_66, type, hoasinduction_gthm: $o). 0.17/0.53 thf(decl_67, type, axapp: $o). 0.17/0.53 thf(decl_68, type, hoaslamnotvar_lthm: $o). 0.17/0.53 thf(decl_69, type, pushprop_lem3v2_lthm: $o). 0.17/0.53 thf(decl_70, type, hoasinduction_lem3b_lthm: $o). 0.17/0.53 thf(decl_71, type, ulamvarind: $o). 0.17/0.53 thf(decl_72, type, induction: $o). 0.17/0.53 thf(decl_73, type, hoasinduction_lem3a_lthm: $o). 0.17/0.53 thf(decl_74, type, termmset_gthm: $o). 0.17/0.53 thf(decl_75, type, hoasinduction_lem3aa: $o). 0.17/0.53 thf(decl_76, type, pushprop_lem1v2_gthm: $o). 0.17/0.53 thf(decl_77, type, hoaslamnotap_gthm: $o). 0.17/0.53 thf(decl_78, type, hoaslamnotvar_gthm: $o). 0.17/0.53 thf(decl_79, type, hoasinduction_lem3b_gthm: $o). 0.17/0.53 thf(decl_80, type, pushprop_lem2v2: $o). 0.17/0.53 thf(decl_81, type, hoasinduction_lem3a_gthm: $o). 0.17/0.53 thf(decl_82, type, axclos: $o). 0.17/0.53 thf(decl_83, type, axassoc: $o). 0.17/0.53 thf(decl_84, type, hoasinduction_lem2v2: $o). 0.17/0.53 thf(decl_85, type, pushprop_lthm: $o). 0.17/0.53 thf(decl_86, type, apinj2: $o). 0.17/0.53 thf(decl_87, type, apinj1: $o). 0.17/0.53 thf(decl_88, type, hoasapinj2_lthm: $o). 0.17/0.53 thf(decl_89, type, hoasinduction_lem3v2a: $o). 0.17/0.53 thf(decl_90, type, hoasapinj1_lthm: $o). 0.17/0.53 thf(decl_91, type, hoaslaminj_lthm: $o). 0.17/0.53 thf(decl_92, type, axvarcons: $o). 0.17/0.53 thf(decl_93, type, hoaslam: subst > (subst > term > term) > term). 0.17/0.53 thf(decl_94, type, axscons: $o). 0.17/0.53 thf(decl_95, type, hoasinduction_lem2v2_gthm: $o). 0.17/0.53 thf(decl_96, type, axidr: $o). 0.17/0.53 thf(decl_97, type, pushprop_lem1: $o). 0.17/0.53 thf(decl_98, type, laminj: $o). 0.17/0.53 thf(decl_99, type, hoasinduction_lem3_lthm: $o). 0.17/0.53 thf(decl_100, type, pushprop_lem0: $o). 0.17/0.53 thf(decl_101, type, pushprop_gthm: $o). 0.17/0.53 thf(decl_102, type, axabs: $o). 0.17/0.53 thf(decl_103, type, hoasinduction_lem3v2a_lthm: $o). 0.17/0.53 thf(decl_104, type, hoasinduction_lem2_lthm: $o). 0.17/0.53 thf(decl_105, type, hoasapinj2_gthm: $o). 0.17/0.53 thf(decl_106, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o). 0.17/0.53 thf(decl_107, type, hoasinduction_lem1_lthm: $o). 0.17/0.53 thf(decl_108, type, lamnotap: $o). 0.17/0.53 thf(decl_109, type, hoasapinj1_gthm: $o). 0.17/0.53 thf(decl_110, type, hoaslamnotvar: $o). 0.17/0.53 thf(decl_111, type, axidl: $o). 0.17/0.53 thf(decl_112, type, hoaslaminj_gthm: $o). 0.17/0.53 thf(decl_113, type, induction2_lthm: $o). 0.17/0.53 thf(decl_114, type, hoasinduction_lem0_lthm: $o). 0.17/0.53 thf(decl_115, type, substmonoid_lthm: $o). 0.17/0.53 thf(decl_116, type, pushprop: $o). 0.17/0.53 thf(decl_117, type, hoasinduction_lem3_gthm: $o). 0.17/0.53 thf(decl_118, type, hoasinduction_lem2_gthm: $o). 0.17/0.53 thf(decl_119, type, hoasinduction_lem3b: $o). 0.17/0.53 thf(decl_120, type, substmonoid: $o). 0.17/0.53 thf(decl_121, type, lamnotvar: $o). 0.17/0.53 thf(decl_122, type, hoasinduction_lem3a: $o). 0.17/0.53 thf(decl_123, type, hoasinduction_lem1_gthm: $o). 0.17/0.53 thf(decl_124, type, hoasinduction_no_psi_cond: $o). 0.17/0.53 thf(decl_125, type, induction2_gthm: $o). 0.17/0.53 thf(decl_126, type, pushprop_lem2v2_lthm: $o). 0.17/0.53 thf(decl_127, type, hoasvar: subst > term > subst > $o). 0.17/0.53 thf(decl_128, type, hoaslamnotap: $o). 0.17/0.53 thf(decl_129, type, substmonoid_gthm: $o). 0.17/0.53 thf(decl_130, type, ulamvarsh: $o). 0.17/0.53 thf(decl_131, type, induction2: $o). 0.17/0.53 thf(decl_132, type, pushprop_lem3v2: $o). 0.17/0.53 thf(decl_133, type, pushprop_lem2v2_gthm: $o). 0.17/0.53 thf(decl_134, type, pushprop_lem1_lthm: $o). 0.17/0.53 thf(decl_135, type, hoasinduction_lem3v2: $o). 0.17/0.53 thf(decl_136, type, axshiftcons: $o). 0.17/0.53 thf(decl_137, type, termmset: $o). 0.17/0.53 thf(decl_138, type, pushprop_lem0_lthm: $o). 0.17/0.53 thf(decl_139, type, hoasapnotvar_lthm: $o). 0.17/0.53 thf(decl_140, type, hoasinduction_lem3v2_lthm: $o). 0.17/0.53 thf(decl_141, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o). 0.17/0.53 thf(decl_142, type, axvarid: $o). 0.17/0.53 thf(decl_143, type, hoasinduction_lthm_3: $o). 0.17/0.53 thf(decl_144, type, epred1_0: subst > term > subst > $o). 0.17/0.53 thf(decl_145, type, esk1_1: (term > $o) > term). 0.17/0.53 thf(hoasinduction_p_and_p_prime, axiom, ((hoasinduction_p_and_p_prime)=(^[X14:subst > term > subst > $o, X9:term > $o]:(![X10:term]:(((X9 @ X10)<=>(X14 @ id @ X10 @ id)))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', hoasinduction_p_and_p_prime)). 0.17/0.53 thf(hoasinduction_lem0, axiom, ((hoasinduction_lem0)<=>![X15:subst > term > subst > $o]:(?[X9:term > $o]:((hoasinduction_p_and_p_prime @ X15 @ X9)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', hoasinduction_lem0)). 0.17/0.53 thf(hoasinduction_lem0_lthm, axiom, ((hoasinduction_lem0_lthm)<=>(hoasinduction_lem0)), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', hoasinduction_lem0_lthm)). 0.17/0.53 thf(thm, conjecture, (hoasinduction_lem0_lthm), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)). 0.17/0.53 thf(c_0_4, plain, ((hoasinduction_p_and_p_prime)=(^[Z0:subst > term > subst > $o, Z1:term > $o]:(![X10:term]:(((Z1 @ X10)<=>(Z0 @ id @ X10 @ id)))))), inference(fof_simplification,[status(thm)],[hoasinduction_p_and_p_prime])). 0.17/0.53 thf(c_0_5, axiom, ((hoasinduction_lem0)=(![X15:subst > term > subst > $o]:(?[X9:term > $o]:((![X1037:term]:(((X9 @ X1037)<=>(X15 @ id @ X1037 @ id)))))))), inference(apply_def,[status(thm)],[hoasinduction_lem0, c_0_4])). 0.17/0.53 thf(c_0_6, axiom, ((hoasinduction_lem0_lthm)=((![X2664:subst > term > subst > $o]:(?[X2665:term > $o]:((![X2666:term]:(((X2665 @ X2666)<=>(X2664 @ id @ X2666 @ id))))))))), inference(apply_def,[status(thm)],[hoasinduction_lem0_lthm, c_0_5])). 0.17/0.53 thf(c_0_7, negated_conjecture, ~(![X3373:subst > term > subst > $o]:(?[X3374:term > $o]:(![X3375:term]:(((X3374 @ X3375)<=>(X3373 @ id @ X3375 @ id)))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_6])). 0.17/0.53 thf(c_0_8, negated_conjecture, ![X3389:term > $o]:(((~(X3389 @ (esk1_1 @ X3389))|~(epred1_0 @ id @ (esk1_1 @ X3389) @ id))&((X3389 @ (esk1_1 @ X3389))|(epred1_0 @ id @ (esk1_1 @ X3389) @ id)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 0.17/0.53 thf(c_0_9, negated_conjecture, ![X6:term > $o]:(((X6 @ (esk1_1 @ X6))|(epred1_0 @ id @ (esk1_1 @ X6) @ id))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.17/0.53 thf(c_0_10, negated_conjecture, ![X6:term > $o]:((~((X6 @ (esk1_1 @ X6)))|~((epred1_0 @ id @ (esk1_1 @ X6) @ id)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.17/0.53 thf(c_0_11, negated_conjecture, (epred1_0 @ id @ (esk1_1 @ (^[Z0:term]:((epred1_0 @ id @ Z0 @ id)))) @ id), inference(ef,[status(thm)],[c_0_9])). 0.17/0.53 thf(c_0_12, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_11])]), ['proof']). 0.17/0.53 # SZS output end CNFRefutation 0.17/0.53 # Parsed axioms : 238 0.17/0.53 # Removed by relevancy pruning/SinE : 0 0.17/0.53 # Initial clauses : 128 0.17/0.53 # Removed in clause preprocessing : 124 0.17/0.53 # Initial clauses in saturation : 4 0.17/0.53 # Processed clauses : 14 0.17/0.53 # ...of these trivial : 0 0.17/0.53 # ...subsumed : 2 0.17/0.53 # ...remaining for further processing : 12 0.17/0.53 # Other redundant clauses eliminated : 0 0.17/0.53 # Clauses deleted for lack of memory : 0 0.17/0.53 # Backward-subsumed : 0 0.17/0.53 # Backward-rewritten : 0 0.17/0.53 # Generated clauses : 19 0.17/0.53 # ...of the previous two non-redundant : 13 0.17/0.53 # ...aggressively subsumed : 0 0.17/0.53 # Contextual simplify-reflections : 0 0.17/0.53 # Paramodulations : 7 0.17/0.53 # Factorizations : 2 0.17/0.53 # NegExts : 0 0.17/0.53 # Equation resolutions : 0 0.17/0.53 # Propositional unsat checks : 0 0.17/0.53 # Propositional check models : 0 0.17/0.53 # Propositional check unsatisfiable : 0 0.17/0.53 # Propositional clauses : 0 0.17/0.53 # Propositional clauses after purity: 0 0.17/0.53 # Propositional unsat core size : 0 0.17/0.53 # Propositional preprocessing time : 0.000 0.17/0.53 # Propositional encoding time : 0.000 0.17/0.53 # Propositional solver time : 0.000 0.17/0.53 # Success case prop preproc time : 0.000 0.17/0.53 # Success case prop encoding time : 0.000 0.17/0.53 # Success case prop solver time : 0.000 0.17/0.53 # Current number of processed clauses : 8 0.17/0.53 # Positive orientable unit clauses : 2 0.17/0.53 # Positive unorientable unit clauses: 2 0.17/0.53 # Negative unit clauses : 1 0.17/0.53 # Non-unit-clauses : 3 0.17/0.53 # Current number of unprocessed clauses: 7 0.17/0.53 # ...number of literals in the above : 8 0.17/0.53 # Current number of archived formulas : 0 0.17/0.53 # Current number of archived clauses : 4 0.17/0.53 # Clause-clause subsumption calls (NU) : 3 0.17/0.53 # Rec. Clause-clause subsumption calls : 3 0.17/0.53 # Non-unit clause-clause subsumptions : 1 0.17/0.53 # Unit Clause-clause subsumption calls : 1 0.17/0.53 # Rewrite failures with RHS unbound : 0 0.17/0.53 # BW rewrite match attempts : 5 0.17/0.53 # BW rewrite match successes : 0 0.17/0.53 # Condensation attempts : 0 0.17/0.53 # Condensation successes : 0 0.17/0.53 # Termbank termtop insertions : 27071 0.17/0.53 0.17/0.53 # ------------------------------------------------- 0.17/0.53 # User time : 0.026 s 0.17/0.53 # System time : 0.010 s 0.17/0.53 # Total time : 0.036 s 0.17/0.53 # Maximum resident set size: 5800 pages 0.17/0.53 0.17/0.53 # ------------------------------------------------- 0.17/0.53 # User time : 0.033 s 0.17/0.53 # System time : 0.014 s 0.17/0.53 # Total time : 0.047 s 0.17/0.53 # Maximum resident set size: 2076 pages 0.17/0.53 EOF