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 02:09:45 EDT 2022 0.13/0.34 % 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 0.19/0.49 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.49 # Starting post_as_ho3 with 120s (1) cores 0.19/0.49 # Starting new_ho_12 with 120s (1) cores 0.19/0.49 # Starting new_bool_2 with 120s (1) cores 0.19/0.49 # post_as_ho3 with pid 32170 completed with status 0 0.19/0.49 # Result found by post_as_ho3 0.19/0.49 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.49 # Starting post_as_ho3 with 120s (1) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HHUNS-FFSS21-SHSSMFNN 0.19/0.49 # partial match(3): HHHNS-FFSF11-SHSSMFNN 0.19/0.49 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.49 # Starting new_ho_10 with 65s (1) cores 0.19/0.49 # new_ho_10 with pid 32177 completed with status 0 0.19/0.49 # Result found by new_ho_10 0.19/0.49 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.49 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.49 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.49 # Starting post_as_ho3 with 120s (1) cores 0.19/0.49 # No SInE strategy applied 0.19/0.49 # Search class: HHUNS-FFSS21-SHSSMFNN 0.19/0.49 # partial match(3): HHHNS-FFSF11-SHSSMFNN 0.19/0.49 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.49 # Starting new_ho_10 with 65s (1) cores 0.19/0.49 # Preprocessing time : 0.001 s 0.19/0.49 # Presaturation interreduction done 0.19/0.49 0.19/0.49 # Proof found! 0.19/0.49 # SZS status Theorem 0.19/0.49 # SZS output start CNFRefutation 0.19/0.49 thf(decl_22, type, mrel: mworld > mworld > $o). 0.19/0.49 thf(decl_23, type, mactual: mworld). 0.19/0.49 thf(decl_24, type, mlocal: (mworld > $o) > $o). 0.19/0.49 thf(decl_25, type, mnot: (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_26, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_27, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_28, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_29, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_30, type, mbox: (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_31, type, mdia: (mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_32, type, eiw_di: $i > mworld > $o). 0.19/0.49 thf(decl_33, type, mforall_di: ($i > mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_34, type, mexists_di: ($i > mworld > $o) > mworld > $o). 0.19/0.49 thf(decl_35, type, intersect: $i > $i > mworld > $o). 0.19/0.49 thf(decl_36, type, member: $i > $i > mworld > $o). 0.19/0.49 thf(decl_37, type, esk1_1: mworld > $i). 0.19/0.49 thf(decl_38, type, esk2_2: $i > $i > $i). 0.19/0.49 thf(decl_39, type, esk3_0: $i). 0.19/0.49 thf(decl_40, type, esk4_0: $i). 0.19/0.49 thf(decl_41, type, esk5_0: $i). 0.19/0.49 thf(mlocal_def, axiom, ((mlocal)=(^[X1:mworld > $o]:((X1 @ mactual)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mlocal_def)). 0.19/0.49 thf(mand_def, axiom, ((mand)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)&(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mand_def)). 0.19/0.49 thf(mequiv_def, axiom, ((mequiv)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)<=>(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mequiv_def)). 0.19/0.49 thf(mforall_di_def, axiom, ((mforall_di)=(^[X6:$i > mworld > $o, X3:mworld]:(![X7:$i]:(((eiw_di @ X7 @ X3)=>(X6 @ X7 @ X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mforall_di_def)). 0.19/0.49 thf(mexists_di_def, axiom, ((mexists_di)=(^[X8:$i > mworld > $o, X3:mworld]:(?[X7:$i]:(((eiw_di @ X7 @ X3)&(X8 @ X7 @ X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mexists_di_def)). 0.19/0.49 thf(mimplies_def, axiom, ((mimplies)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)=>(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mimplies_def)). 0.19/0.49 thf(intersect_defn, axiom, (mlocal @ (mforall_di @ (^[X11:$i]:(mforall_di @ (^[X10:$i]:(mequiv @ (intersect @ X11 @ X10) @ (mexists_di @ (^[X12:$i]:(mand @ (member @ X12 @ X11) @ (member @ X12 @ X10)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)). 0.19/0.49 thf(prove_th13, conjecture, (mlocal @ (mforall_di @ (^[X13:$i]:(mforall_di @ (^[X10:$i]:(mforall_di @ (^[X12:$i]:(mimplies @ (mand @ (member @ X13 @ X10) @ (member @ X13 @ X12)) @ (intersect @ X10 @ X12))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th13)). 0.19/0.49 thf(c_0_8, plain, ((mlocal)=(^[Z0:mworld > $o]:((Z0 @ mactual)))), inference(fof_simplification,[status(thm)],[mlocal_def])). 0.19/0.49 thf(c_0_9, plain, ((mand)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand_def])). 0.19/0.49 thf(c_0_10, plain, ((mequiv)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)<=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mequiv_def])). 0.19/0.49 thf(c_0_11, plain, ((mforall_di)=(^[Z0:$i > mworld > $o, Z1:mworld]:(![X7:$i]:(((eiw_di @ X7 @ Z1)=>(Z0 @ X7 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_di_def])). 0.19/0.49 thf(c_0_12, plain, ((mexists_di)=(^[Z0:$i > mworld > $o, Z1:mworld]:(?[X7:$i]:(((eiw_di @ X7 @ Z1)&(Z0 @ X7 @ Z1)))))), inference(fof_simplification,[status(thm)],[mexists_di_def])). 0.19/0.49 thf(c_0_13, plain, ((mimplies)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies_def])). 0.19/0.49 thf(c_0_14, plain, ![X24:$i]:(((eiw_di @ X24 @ mactual)=>![X23:$i]:(((eiw_di @ X23 @ mactual)=>((intersect @ X24 @ X23 @ mactual)<=>?[X22:$i]:(((eiw_di @ X22 @ mactual)&((member @ X22 @ X24 @ mactual)&(member @ X22 @ X23 @ mactual))))))))), inference(apply_def,[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)],[intersect_defn]), c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_12])). 0.19/0.49 thf(c_0_15, negated_conjecture, ~(![X27:$i]:(((eiw_di @ X27 @ mactual)=>![X26:$i]:(((eiw_di @ X26 @ mactual)=>![X25:$i]:(((eiw_di @ X25 @ mactual)=>(((member @ X27 @ X26 @ mactual)&(member @ X27 @ X25 @ mactual))=>(intersect @ X26 @ X25 @ mactual))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_th13])]), c_0_8]), c_0_9]), c_0_13]), c_0_11])). 0.19/0.49 thf(c_0_16, plain, ![X32:$i, X33:$i, X35:$i]:(((((eiw_di @ (esk2_2 @ X32 @ X33) @ mactual)|~(intersect @ X32 @ X33 @ mactual)|~(eiw_di @ X33 @ mactual)|~(eiw_di @ X32 @ mactual))&(((member @ (esk2_2 @ X32 @ X33) @ X32 @ mactual)|~(intersect @ X32 @ X33 @ mactual)|~(eiw_di @ X33 @ mactual)|~(eiw_di @ X32 @ mactual))&((member @ (esk2_2 @ X32 @ X33) @ X33 @ mactual)|~(intersect @ X32 @ X33 @ mactual)|~(eiw_di @ X33 @ mactual)|~(eiw_di @ X32 @ mactual))))&(~(eiw_di @ X35 @ mactual)|(~(member @ X35 @ X32 @ mactual)|~(member @ X35 @ X33 @ mactual))|(intersect @ X32 @ X33 @ mactual)|~(eiw_di @ X33 @ mactual)|~(eiw_di @ X32 @ mactual)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])). 0.19/0.49 thf(c_0_17, negated_conjecture, ((eiw_di @ esk3_0 @ mactual)&((eiw_di @ esk4_0 @ mactual)&((eiw_di @ esk5_0 @ mactual)&(((member @ esk3_0 @ esk4_0 @ mactual)&(member @ esk3_0 @ esk5_0 @ mactual))&~(intersect @ esk4_0 @ esk5_0 @ mactual))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])). 0.19/0.49 thf(c_0_18, plain, ![X7:$i, X10:$i, X9:$i]:(((intersect @ X9 @ X10 @ mactual)|~((eiw_di @ X7 @ mactual))|~((member @ X7 @ X9 @ mactual))|~((member @ X7 @ X10 @ mactual))|~((eiw_di @ X10 @ mactual))|~((eiw_di @ X9 @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.49 thf(c_0_19, negated_conjecture, (member @ esk3_0 @ esk5_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_20, negated_conjecture, (eiw_di @ esk5_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_21, negated_conjecture, (eiw_di @ esk3_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_22, negated_conjecture, ![X7:$i]:(((intersect @ X7 @ esk5_0 @ mactual)|~((member @ esk3_0 @ X7 @ mactual))|~((eiw_di @ X7 @ mactual)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21])])). 0.19/0.49 thf(c_0_23, negated_conjecture, (member @ esk3_0 @ esk4_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_24, negated_conjecture, (eiw_di @ esk4_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_25, negated_conjecture, ~((intersect @ esk4_0 @ esk5_0 @ mactual)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.19/0.49 thf(c_0_26, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), c_0_25]), ['proof']). 0.19/0.49 # SZS output end CNFRefutation 0.19/0.49 # Parsed axioms : 32 0.19/0.49 # Removed by relevancy pruning/SinE : 0 0.19/0.49 # Initial clauses : 30 0.19/0.49 # Removed in clause preprocessing : 16 0.19/0.49 # Initial clauses in saturation : 14 0.19/0.49 # Processed clauses : 29 0.19/0.49 # ...of these trivial : 0 0.19/0.49 # ...subsumed : 0 0.19/0.49 # ...remaining for further processing : 29 0.19/0.49 # Other redundant clauses eliminated : 0 0.19/0.49 # Clauses deleted for lack of memory : 0 0.19/0.49 # Backward-subsumed : 0 0.19/0.49 # Backward-rewritten : 0 0.19/0.49 # Generated clauses : 7 0.19/0.49 # ...of the previous two non-redundant : 5 0.19/0.49 # ...aggressively subsumed : 0 0.19/0.49 # Contextual simplify-reflections : 0 0.19/0.49 # Paramodulations : 7 0.19/0.49 # Factorizations : 0 0.19/0.49 # NegExts : 0 0.19/0.49 # Equation resolutions : 0 0.19/0.49 # Propositional unsat checks : 0 0.19/0.49 # Propositional check models : 0 0.19/0.49 # Propositional check unsatisfiable : 0 0.19/0.49 # Propositional clauses : 0 0.19/0.49 # Propositional clauses after purity: 0 0.19/0.49 # Propositional unsat core size : 0 0.19/0.49 # Propositional preprocessing time : 0.000 0.19/0.49 # Propositional encoding time : 0.000 0.19/0.49 # Propositional solver time : 0.000 0.19/0.49 # Success case prop preproc time : 0.000 0.19/0.49 # Success case prop encoding time : 0.000 0.19/0.49 # Success case prop solver time : 0.000 0.19/0.49 # Current number of processed clauses : 15 0.19/0.49 # Positive orientable unit clauses : 7 0.19/0.49 # Positive unorientable unit clauses: 0 0.19/0.49 # Negative unit clauses : 1 0.19/0.49 # Non-unit-clauses : 7 0.19/0.49 # Current number of unprocessed clauses: 3 0.19/0.49 # ...number of literals in the above : 17 0.19/0.49 # Current number of archived formulas : 0 0.19/0.49 # Current number of archived clauses : 14 0.19/0.49 # Clause-clause subsumption calls (NU) : 32 0.19/0.49 # Rec. Clause-clause subsumption calls : 0 0.19/0.49 # Non-unit clause-clause subsumptions : 0 0.19/0.49 # Unit Clause-clause subsumption calls : 0 0.19/0.49 # Rewrite failures with RHS unbound : 0 0.19/0.49 # BW rewrite match attempts : 0 0.19/0.49 # BW rewrite match successes : 0 0.19/0.49 # Condensation attempts : 29 0.19/0.49 # Condensation successes : 0 0.19/0.49 # Termbank termtop insertions : 2433 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.006 s 0.19/0.49 # System time : 0.002 s 0.19/0.49 # Total time : 0.008 s 0.19/0.49 # Maximum resident set size: 1916 pages 0.19/0.49 0.19/0.49 # ------------------------------------------------- 0.19/0.49 # User time : 0.008 s 0.19/0.49 # System time : 0.004 s 0.19/0.49 # Total time : 0.012 s 0.19/0.49 # Maximum resident set size: 1752 pages 0.19/0.49 EOF