0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n018.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:35:15 EDT 2022 0.13/0.35 % CPUTime : 0.19/0.48 Running higher-order on 8 cores theorem proving 0.19/0.48 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 0.19/0.48 # Version: 3.0pre003-ho 0.19/0.50 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.50 # Starting post_as_ho3 with 120s (1) cores 0.19/0.50 # Starting new_ho_12 with 120s (1) cores 0.19/0.50 # Starting new_bool_2 with 120s (1) cores 0.19/0.50 # post_as_ho3 with pid 20336 completed with status 0 0.19/0.50 # Result found by post_as_ho3 0.19/0.50 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.50 # Starting post_as_ho3 with 120s (1) cores 0.19/0.50 # No SInE strategy applied 0.19/0.50 # Search class: HGHNS-FFMM21-SHSSMFNN 0.19/0.50 # partial match(2): HGUNS-FFMF21-SHSSMFNN 0.19/0.50 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.50 # Starting new_ho_10 with 65s (1) cores 0.19/0.50 # new_ho_10 with pid 20342 completed with status 0 0.19/0.50 # Result found by new_ho_10 0.19/0.50 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.50 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.50 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.50 # Starting post_as_ho3 with 120s (1) cores 0.19/0.50 # No SInE strategy applied 0.19/0.50 # Search class: HGHNS-FFMM21-SHSSMFNN 0.19/0.50 # partial match(2): HGUNS-FFMF21-SHSSMFNN 0.19/0.50 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.50 # Starting new_ho_10 with 65s (1) cores 0.19/0.50 # Preprocessing time : 0.002 s 0.19/0.50 # Presaturation interreduction done 0.19/0.50 0.19/0.50 # Proof found! 0.19/0.50 # SZS status Theorem 0.19/0.50 # SZS output start CNFRefutation 0.19/0.50 thf(decl_22, type, mrel: mworld > mworld > $o). 0.19/0.50 thf(decl_23, type, mactual: mworld). 0.19/0.50 thf(decl_24, type, mlocal: (mworld > $o) > $o). 0.19/0.50 thf(decl_25, type, mnot: (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_26, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_27, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_28, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_29, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_30, type, mbox: (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_31, type, mdia: (mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_32, type, eiw_di: $i > mworld > $o). 0.19/0.50 thf(decl_33, type, mforall_di: ($i > mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_34, type, mexists_di: ($i > mworld > $o) > mworld > $o). 0.19/0.50 thf(decl_35, type, empty_set: $i). 0.19/0.50 thf(decl_36, type, qmltpeq: $i > $i > mworld > $o). 0.19/0.50 thf(decl_37, type, in: $i > $i > mworld > $o). 0.19/0.50 thf(decl_38, type, empty: $i > mworld > $o). 0.19/0.50 thf(decl_39, type, singleton: $i > $i). 0.19/0.50 thf(decl_40, type, set_difference: $i > $i > $i). 0.19/0.50 thf(decl_41, type, esk1_0: $i). 0.19/0.50 thf(decl_42, type, esk2_0: $i). 0.19/0.50 thf(decl_43, type, esk3_0: $i). 0.19/0.50 thf(decl_44, type, esk4_0: $i). 0.19/0.50 thf(decl_45, type, esk5_1: mworld > $i). 0.19/0.50 thf(mlocal_def, axiom, ((mlocal)=(^[X1:mworld > $o]:((X1 @ mactual)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mlocal_def)). 0.19/0.50 thf(mor_def, axiom, ((mor)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)|(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mor_def)). 0.19/0.50 thf(mforall_di_def, axiom, ((mforall_di)=(^[X6:$i > mworld > $o, X3:mworld]:(![X7:$i]:(((eiw_di @ X7 @ X3)=>(X6 @ X7 @ X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mforall_di_def)). 0.19/0.50 thf(mnot_def, axiom, ((mnot)=(^[X2:mworld > $o, X3:mworld]:(~((X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mnot_def)). 0.19/0.50 thf(mequiv_def, axiom, ((mequiv)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)<=>(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mequiv_def)). 0.19/0.50 thf(t69_zfmisc_1, conjecture, (mlocal @ (mforall_di @ (^[X13:$i]:(mforall_di @ (^[X14:$i]:(mor @ (qmltpeq @ (set_difference @ (singleton @ X13) @ X14) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X13) @ X14) @ (singleton @ X13)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t69_zfmisc_1)). 0.19/0.50 thf(l34_zfmisc_1, axiom, (mlocal @ (mforall_di @ (^[X20:$i]:(mforall_di @ (^[X21:$i]:(mequiv @ (qmltpeq @ (set_difference @ (singleton @ X20) @ X21) @ (singleton @ X20)) @ (mnot @ (in @ X20 @ X21)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l34_zfmisc_1)). 0.19/0.50 thf(l36_zfmisc_1, axiom, (mlocal @ (mforall_di @ (^[X30:$i]:(mforall_di @ (^[X31:$i]:(mequiv @ (qmltpeq @ (set_difference @ (singleton @ X30) @ X31) @ empty_set) @ (in @ X30 @ X31))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l36_zfmisc_1)). 0.19/0.50 thf(c_0_8, plain, ((mlocal)=(^[Z0:mworld > $o]:((Z0 @ mactual)))), inference(fof_simplification,[status(thm)],[mlocal_def])). 0.19/0.50 thf(c_0_9, plain, ((mor)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor_def])). 0.19/0.50 thf(c_0_10, plain, ((mforall_di)=(^[Z0:$i > mworld > $o, Z1:mworld]:(![X7:$i]:(((eiw_di @ X7 @ Z1)=>(Z0 @ X7 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_di_def])). 0.19/0.50 thf(c_0_11, plain, ((mnot)=(^[Z0:mworld > $o, Z1:mworld]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot_def])). 0.19/0.50 thf(c_0_12, plain, ((mequiv)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)<=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mequiv_def])). 0.19/0.50 thf(c_0_13, negated_conjecture, ~(![X43:$i]:(((eiw_di @ X43 @ mactual)=>![X42:$i]:(((eiw_di @ X42 @ mactual)=>((qmltpeq @ (set_difference @ (singleton @ X43) @ X42) @ empty_set @ mactual)|(qmltpeq @ (set_difference @ (singleton @ X43) @ X42) @ (singleton @ X43) @ mactual))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t69_zfmisc_1])]), c_0_8]), c_0_9]), c_0_10])). 0.19/0.50 thf(c_0_14, plain, ![X50:$i]:(((eiw_di @ X50 @ mactual)=>![X49:$i]:(((eiw_di @ X49 @ mactual)=>((qmltpeq @ (set_difference @ (singleton @ X50) @ X49) @ (singleton @ X50) @ mactual)<=>~(in @ X50 @ X49 @ mactual)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l34_zfmisc_1]), c_0_8]), c_0_11]), c_0_12]), c_0_10])])). 0.19/0.50 thf(c_0_15, plain, ![X66:$i]:(((eiw_di @ X66 @ mactual)=>![X65:$i]:(((eiw_di @ X65 @ mactual)=>((qmltpeq @ (set_difference @ (singleton @ X66) @ X65) @ empty_set @ mactual)<=>(in @ X66 @ X65 @ mactual)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l36_zfmisc_1]), c_0_8]), c_0_12]), c_0_10])). 0.19/0.50 thf(c_0_16, negated_conjecture, ((eiw_di @ esk3_0 @ mactual)&((eiw_di @ esk4_0 @ mactual)&(~(qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ empty_set @ mactual)&~(qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ (singleton @ esk3_0) @ mactual)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 0.19/0.50 thf(c_0_17, plain, ![X81:$i, X82:$i]:(((~(qmltpeq @ (set_difference @ (singleton @ X81) @ X82) @ (singleton @ X81) @ mactual)|~(in @ X81 @ X82 @ mactual)|~(eiw_di @ X82 @ mactual)|~(eiw_di @ X81 @ mactual))&((in @ X81 @ X82 @ mactual)|(qmltpeq @ (set_difference @ (singleton @ X81) @ X82) @ (singleton @ X81) @ mactual)|~(eiw_di @ X82 @ mactual)|~(eiw_di @ X81 @ mactual)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 0.19/0.50 thf(c_0_18, plain, ![X99:$i, X100:$i]:(((~(qmltpeq @ (set_difference @ (singleton @ X99) @ X100) @ empty_set @ mactual)|(in @ X99 @ X100 @ mactual)|~(eiw_di @ X100 @ mactual)|~(eiw_di @ X99 @ mactual))&(~(in @ X99 @ X100 @ mactual)|(qmltpeq @ (set_difference @ (singleton @ X99) @ X100) @ empty_set @ mactual)|~(eiw_di @ X100 @ mactual)|~(eiw_di @ X99 @ mactual)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])). 0.19/0.50 thf(c_0_19, negated_conjecture, ~((qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ (singleton @ esk3_0) @ mactual)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.50 thf(c_0_20, plain, ![X9:$i, X7:$i]:(((in @ X7 @ X9 @ mactual)|(qmltpeq @ (set_difference @ (singleton @ X7) @ X9) @ (singleton @ X7) @ mactual)|~((eiw_di @ X9 @ mactual))|~((eiw_di @ X7 @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.50 thf(c_0_21, negated_conjecture, (eiw_di @ esk4_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.50 thf(c_0_22, negated_conjecture, (eiw_di @ esk3_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.50 thf(c_0_23, negated_conjecture, ~((qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ empty_set @ mactual)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.50 thf(c_0_24, plain, ![X9:$i, X7:$i]:(((qmltpeq @ (set_difference @ (singleton @ X7) @ X9) @ empty_set @ mactual)|~((in @ X7 @ X9 @ mactual))|~((eiw_di @ X9 @ mactual))|~((eiw_di @ X7 @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.19/0.50 thf(c_0_25, negated_conjecture, (in @ esk3_0 @ esk4_0 @ mactual), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22])])). 0.19/0.50 thf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_21]), c_0_22])]), c_0_25])]), ['proof']). 0.19/0.50 # SZS output end CNFRefutation 0.19/0.50 # Parsed axioms : 48 0.19/0.50 # Removed by relevancy pruning/SinE : 0 0.19/0.50 # Initial clauses : 45 0.19/0.50 # Removed in clause preprocessing : 20 0.19/0.50 # Initial clauses in saturation : 25 0.19/0.50 # Processed clauses : 47 0.19/0.50 # ...of these trivial : 0 0.19/0.50 # ...subsumed : 0 0.19/0.50 # ...remaining for further processing : 46 0.19/0.50 # Other redundant clauses eliminated : 0 0.19/0.50 # Clauses deleted for lack of memory : 0 0.19/0.50 # Backward-subsumed : 0 0.19/0.50 # Backward-rewritten : 0 0.19/0.50 # Generated clauses : 13 0.19/0.50 # ...of the previous two non-redundant : 9 0.19/0.50 # ...aggressively subsumed : 0 0.19/0.50 # Contextual simplify-reflections : 0 0.19/0.50 # Paramodulations : 13 0.19/0.50 # Factorizations : 0 0.19/0.50 # NegExts : 0 0.19/0.50 # Equation resolutions : 0 0.19/0.50 # Propositional unsat checks : 0 0.19/0.50 # Propositional check models : 0 0.19/0.50 # Propositional check unsatisfiable : 0 0.19/0.50 # Propositional clauses : 0 0.19/0.50 # Propositional clauses after purity: 0 0.19/0.50 # Propositional unsat core size : 0 0.19/0.50 # Propositional preprocessing time : 0.000 0.19/0.50 # Propositional encoding time : 0.000 0.19/0.50 # Propositional solver time : 0.000 0.19/0.50 # Success case prop preproc time : 0.000 0.19/0.50 # Success case prop encoding time : 0.000 0.19/0.50 # Success case prop solver time : 0.000 0.19/0.50 # Current number of processed clauses : 21 0.19/0.50 # Positive orientable unit clauses : 9 0.19/0.50 # Positive unorientable unit clauses: 0 0.19/0.50 # Negative unit clauses : 3 0.19/0.50 # Non-unit-clauses : 9 0.19/0.50 # Current number of unprocessed clauses: 12 0.19/0.50 # ...number of literals in the above : 63 0.19/0.50 # Current number of archived formulas : 0 0.19/0.50 # Current number of archived clauses : 25 0.19/0.50 # Clause-clause subsumption calls (NU) : 111 0.19/0.50 # Rec. Clause-clause subsumption calls : 44 0.19/0.50 # Non-unit clause-clause subsumptions : 0 0.19/0.50 # Unit Clause-clause subsumption calls : 6 0.19/0.50 # Rewrite failures with RHS unbound : 0 0.19/0.50 # BW rewrite match attempts : 0 0.19/0.50 # BW rewrite match successes : 0 0.19/0.50 # Condensation attempts : 47 0.19/0.50 # Condensation successes : 0 0.19/0.50 # Termbank termtop insertions : 5878 0.19/0.50 0.19/0.50 # ------------------------------------------------- 0.19/0.50 # User time : 0.009 s 0.19/0.50 # System time : 0.003 s 0.19/0.50 # Total time : 0.012 s 0.19/0.50 # Maximum resident set size: 2148 pages 0.19/0.50 0.19/0.50 # ------------------------------------------------- 0.19/0.50 # User time : 0.011 s 0.19/0.50 # System time : 0.005 s 0.19/0.50 # Total time : 0.016 s 0.19/0.50 # Maximum resident set size: 1780 pages 0.19/0.50 EOF