0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n029.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:45:54 EDT 2022 0.12/0.34 % CPUTime : 0.20/0.46 Running higher-order on 8 cores theorem proving 0.20/0.46 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 0.20/0.47 # Version: 3.0pre003-ho 0.20/0.47 # Preprocessing class: HSSSSMSSMLMNHSN. 0.20/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.47 # Starting new_ho_10 with 600s (5) cores 0.20/0.47 # Starting sh5l with 120s (1) cores 0.20/0.47 # Starting new_bool_1 with 120s (1) cores 0.20/0.47 # Starting new_bool_2 with 120s (1) cores 0.20/0.47 # sh5l with pid 22595 completed with status 0 0.20/0.47 # Result found by sh5l 0.20/0.47 # Preprocessing class: HSSSSMSSMLMNHSN. 0.20/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.47 # Starting new_ho_10 with 600s (5) cores 0.20/0.47 # Starting sh5l with 120s (1) cores 0.20/0.47 # SinE strategy is gf500_gu_R04_F100_L20000 0.20/0.47 # ...ProofStateSinE()=8/29 0.20/0.47 # Search class: HGUNF-FFSF22-SHSSMFNN 0.20/0.47 # partial match(1): HGHNF-FFSF22-SHSSMFNN 0.20/0.47 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.20/0.47 # Starting new_ho_10 with 73s (1) cores 0.20/0.47 # new_ho_10 with pid 22603 completed with status 0 0.20/0.47 # Result found by new_ho_10 0.20/0.47 # Preprocessing class: HSSSSMSSMLMNHSN. 0.20/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.47 # Starting new_ho_10 with 600s (5) cores 0.20/0.47 # Starting sh5l with 120s (1) cores 0.20/0.47 # SinE strategy is gf500_gu_R04_F100_L20000 0.20/0.47 # ...ProofStateSinE()=8/29 0.20/0.47 # Search class: HGUNF-FFSF22-SHSSMFNN 0.20/0.47 # partial match(1): HGHNF-FFSF22-SHSSMFNN 0.20/0.47 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.20/0.47 # Starting new_ho_10 with 73s (1) cores 0.20/0.47 # Preprocessing time : 0.001 s 0.20/0.47 # Presaturation interreduction done 0.20/0.47 0.20/0.47 # Proof found! 0.20/0.47 # SZS status Theorem 0.20/0.47 # SZS output start CNFRefutation 0.20/0.47 thf(decl_22, type, mrel: mworld > mworld > $o). 0.20/0.47 thf(decl_23, type, mactual: mworld). 0.20/0.47 thf(decl_24, type, mlocal: (mworld > $o) > $o). 0.20/0.47 thf(decl_25, type, mnot: (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_26, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_27, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_28, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_29, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_30, type, mbox: (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_31, type, mdia: (mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_32, type, mforall_di: ($i > mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_33, type, mexists_di: ($i > mworld > $o) > mworld > $o). 0.20/0.47 thf(decl_34, type, member: $i > $i > mworld > $o). 0.20/0.47 thf(decl_35, type, subset: $i > $i > mworld > $o). 0.20/0.47 thf(decl_36, type, esk1_0: $i). 0.20/0.47 thf(decl_37, type, esk2_0: $i). 0.20/0.47 thf(decl_38, type, esk3_0: $i). 0.20/0.47 thf(decl_39, type, esk4_2: $i > $i > $i). 0.20/0.47 thf(mlocal_def, axiom, ((mlocal)=(^[X1:mworld > $o]:((X1 @ mactual)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mlocal_def)). 0.20/0.47 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)). 0.20/0.47 thf(mimplies_def, axiom, ((mimplies)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)=>(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mimplies_def)). 0.20/0.47 thf(mforall_di_def, axiom, ((mforall_di)=(^[X6:$i > mworld > $o, X3:mworld]:(![X7:$i]:((X6 @ X7 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mforall_di_def)). 0.20/0.47 thf(mand_def, axiom, ((mand)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)&(X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mand_def)). 0.20/0.47 thf(subset_defn, axiom, (mlocal @ (mforall_di @ (^[X9:$i]:(mforall_di @ (^[X10:$i]:(mequiv @ (subset @ X9 @ X10) @ (mforall_di @ (^[X11:$i]:(mimplies @ (member @ X11 @ X9) @ (member @ X11 @ X10)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)). 0.20/0.47 thf(prove_transitivity_of_subset, conjecture, (mlocal @ (mforall_di @ (^[X13:$i]:(mforall_di @ (^[X10:$i]:(mforall_di @ (^[X11:$i]:(mimplies @ (mand @ (subset @ X13 @ X10) @ (subset @ X10 @ X11)) @ (subset @ X13 @ X11))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_transitivity_of_subset)). 0.20/0.47 thf(c_0_7, plain, ((mlocal)=(^[Z0:mworld > $o]:((Z0 @ mactual)))), inference(fof_simplification,[status(thm)],[mlocal_def])). 0.20/0.47 thf(c_0_8, plain, ((mequiv)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)<=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mequiv_def])). 0.20/0.47 thf(c_0_9, plain, ((mimplies)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies_def])). 0.20/0.47 thf(c_0_10, plain, ((mforall_di)=(^[Z0:$i > mworld > $o, Z1:mworld]:(![X7:$i]:((Z0 @ X7 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_di_def])). 0.20/0.47 thf(c_0_11, plain, ((mand)=(^[Z0:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand_def])). 0.20/0.47 thf(c_0_12, plain, ![X19:$i, X18:$i]:(((subset @ X19 @ X18 @ mactual)<=>![X17:$i]:(((member @ X17 @ X19 @ mactual)=>(member @ X17 @ X18 @ 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)],[subset_defn]), c_0_7]), c_0_8]), c_0_9]), c_0_10])). 0.20/0.47 thf(c_0_13, negated_conjecture, ~(![X16:$i, X15:$i, X14:$i]:((((subset @ X16 @ X15 @ mactual)&(subset @ X15 @ X14 @ mactual))=>(subset @ X16 @ X14 @ mactual)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_transitivity_of_subset])]), c_0_7]), c_0_11]), c_0_9]), c_0_10])). 0.20/0.47 thf(c_0_14, plain, ![X24:$i, X25:$i, X26:$i, X27:$i, X28:$i]:(((~(subset @ X24 @ X25 @ mactual)|(~(member @ X26 @ X24 @ mactual)|(member @ X26 @ X25 @ mactual)))&(((member @ (esk4_2 @ X27 @ X28) @ X27 @ mactual)|(subset @ X27 @ X28 @ mactual))&(~(member @ (esk4_2 @ X27 @ X28) @ X28 @ mactual)|(subset @ X27 @ X28 @ mactual))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])])). 0.20/0.47 thf(c_0_15, negated_conjecture, (((subset @ esk1_0 @ esk2_0 @ mactual)&(subset @ esk2_0 @ esk3_0 @ mactual))&~(subset @ esk1_0 @ esk3_0 @ mactual)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 0.20/0.47 thf(c_0_16, plain, ![X10:$i, X9:$i, X7:$i]:(((member @ X10 @ X9 @ mactual)|~((subset @ X7 @ X9 @ mactual))|~((member @ X10 @ X7 @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.20/0.47 thf(c_0_17, negated_conjecture, (subset @ esk2_0 @ esk3_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_15])). 0.20/0.47 thf(c_0_18, plain, ![X7:$i, X9:$i]:(((subset @ X7 @ X9 @ mactual)|~((member @ (esk4_2 @ X7 @ X9) @ X9 @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.20/0.47 thf(c_0_19, negated_conjecture, ![X7:$i]:(((member @ X7 @ esk3_0 @ mactual)|~((member @ X7 @ esk2_0 @ mactual)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.20/0.47 thf(c_0_20, negated_conjecture, (subset @ esk1_0 @ esk2_0 @ mactual), inference(split_conjunct,[status(thm)],[c_0_15])). 0.20/0.47 thf(c_0_21, negated_conjecture, ![X7:$i]:(((subset @ X7 @ esk3_0 @ mactual)|~((member @ (esk4_2 @ X7 @ esk3_0) @ esk2_0 @ mactual)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.20/0.47 thf(c_0_22, negated_conjecture, ![X7:$i]:(((member @ X7 @ esk2_0 @ mactual)|~((member @ X7 @ esk1_0 @ mactual)))), inference(spm,[status(thm)],[c_0_16, c_0_20])). 0.20/0.47 thf(c_0_23, negated_conjecture, ![X7:$i]:(((subset @ X7 @ esk3_0 @ mactual)|~((member @ (esk4_2 @ X7 @ esk3_0) @ esk1_0 @ mactual)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.20/0.47 thf(c_0_24, plain, ![X7:$i, X9:$i]:(((member @ (esk4_2 @ X7 @ X9) @ X7 @ mactual)|(subset @ X7 @ X9 @ mactual))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.20/0.47 thf(c_0_25, negated_conjecture, ~((subset @ esk1_0 @ esk3_0 @ mactual)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.20/0.47 thf(c_0_26, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), ['proof']). 0.20/0.47 # SZS output end CNFRefutation 0.20/0.47 # Parsed axioms : 29 0.20/0.47 # Removed by relevancy pruning/SinE : 21 0.20/0.47 # Initial clauses : 7 0.20/0.47 # Removed in clause preprocessing : 0 0.20/0.47 # Initial clauses in saturation : 7 0.20/0.47 # Processed clauses : 19 0.20/0.47 # ...of these trivial : 0 0.20/0.47 # ...subsumed : 0 0.20/0.47 # ...remaining for further processing : 19 0.20/0.47 # Other redundant clauses eliminated : 0 0.20/0.47 # Clauses deleted for lack of memory : 0 0.20/0.47 # Backward-subsumed : 0 0.20/0.47 # Backward-rewritten : 0 0.20/0.47 # Generated clauses : 10 0.20/0.47 # ...of the previous two non-redundant : 5 0.20/0.47 # ...aggressively subsumed : 0 0.20/0.47 # Contextual simplify-reflections : 0 0.20/0.47 # Paramodulations : 10 0.20/0.47 # Factorizations : 0 0.20/0.47 # NegExts : 0 0.20/0.47 # Equation resolutions : 0 0.20/0.47 # Propositional unsat checks : 0 0.20/0.47 # Propositional check models : 0 0.20/0.47 # Propositional check unsatisfiable : 0 0.20/0.47 # Propositional clauses : 0 0.20/0.47 # Propositional clauses after purity: 0 0.20/0.47 # Propositional unsat core size : 0 0.20/0.47 # Propositional preprocessing time : 0.000 0.20/0.47 # Propositional encoding time : 0.000 0.20/0.47 # Propositional solver time : 0.000 0.20/0.47 # Success case prop preproc time : 0.000 0.20/0.47 # Success case prop encoding time : 0.000 0.20/0.47 # Success case prop solver time : 0.000 0.20/0.47 # Current number of processed clauses : 12 0.20/0.47 # Positive orientable unit clauses : 3 0.20/0.47 # Positive unorientable unit clauses: 0 0.20/0.47 # Negative unit clauses : 1 0.20/0.47 # Non-unit-clauses : 8 0.20/0.47 # Current number of unprocessed clauses: 0 0.20/0.47 # ...number of literals in the above : 0 0.20/0.47 # Current number of archived formulas : 0 0.20/0.47 # Current number of archived clauses : 7 0.20/0.47 # Clause-clause subsumption calls (NU) : 9 0.20/0.47 # Rec. Clause-clause subsumption calls : 9 0.20/0.47 # Non-unit clause-clause subsumptions : 0 0.20/0.47 # Unit Clause-clause subsumption calls : 0 0.20/0.47 # Rewrite failures with RHS unbound : 0 0.20/0.47 # BW rewrite match attempts : 6 0.20/0.47 # BW rewrite match successes : 0 0.20/0.47 # Condensation attempts : 19 0.20/0.47 # Condensation successes : 0 0.20/0.47 # Termbank termtop insertions : 1238 0.20/0.47 0.20/0.47 # ------------------------------------------------- 0.20/0.47 # User time : 0.007 s 0.20/0.47 # System time : 0.000 s 0.20/0.47 # Total time : 0.007 s 0.20/0.47 # Maximum resident set size: 1920 pages 0.20/0.47 0.20/0.47 # ------------------------------------------------- 0.20/0.47 # User time : 0.009 s 0.20/0.47 # System time : 0.001 s 0.20/0.47 # Total time : 0.010 s 0.20/0.47 # Maximum resident set size: 1744 pages 0.20/0.47 EOF