0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n012.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 05:47:59 EDT 2022 0.10/0.31 % CPUTime : 0.15/0.41 Running higher-order on 8 cores theorem proving 0.15/0.41 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=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.41 # Version: 3.0pre003-ho 0.15/0.42 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10_cnf2 with 600s (5) cores 0.15/0.42 # Starting post_as_ho3 with 120s (1) cores 0.15/0.42 # Starting post_as_ho11 with 120s (1) cores 0.15/0.42 # Starting full_lambda_8 with 120s (1) cores 0.15/0.42 # post_as_ho11 with pid 26489 completed with status 0 0.15/0.42 # Result found by post_as_ho11 0.15/0.42 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10_cnf2 with 600s (5) cores 0.15/0.42 # Starting post_as_ho3 with 120s (1) cores 0.15/0.42 # Starting post_as_ho11 with 120s (1) cores 0.15/0.42 # No SInE strategy applied 0.15/0.42 # Search class: HHUNF-FFSF00-SHSSMFNN 0.15/0.42 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.15/0.42 # Starting new_ho_10 with 65s (1) cores 0.15/0.42 # new_ho_10 with pid 26493 completed with status 0 0.15/0.42 # Result found by new_ho_10 0.15/0.42 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10_cnf2 with 600s (5) cores 0.15/0.42 # Starting post_as_ho3 with 120s (1) cores 0.15/0.42 # Starting post_as_ho11 with 120s (1) cores 0.15/0.42 # No SInE strategy applied 0.15/0.42 # Search class: HHUNF-FFSF00-SHSSMFNN 0.15/0.42 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.15/0.42 # Starting new_ho_10 with 65s (1) cores 0.15/0.42 # Preprocessing time : 0.001 s 0.15/0.42 # Presaturation interreduction done 0.15/0.42 0.15/0.42 # Proof found! 0.15/0.42 # SZS status Theorem 0.15/0.42 # SZS output start CNFRefutation 0.15/0.42 thf(decl_22, type, in: $i > ($i > $o) > $o). 0.15/0.42 thf(decl_23, type, is_a: $i > ($i > $o) > $o). 0.15/0.42 thf(decl_24, type, emptyset: $i > $o). 0.15/0.42 thf(decl_25, type, unord_pair: $i > $i > $i > $o). 0.15/0.42 thf(decl_26, type, singleton: $i > $i > $o). 0.15/0.42 thf(decl_27, type, union: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.42 thf(decl_28, type, excl_union: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.42 thf(decl_29, type, intersection: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.42 thf(decl_30, type, setminus: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.42 thf(decl_31, type, complement: ($i > $o) > $i > $o). 0.15/0.42 thf(decl_32, type, disjoint: ($i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_33, type, subset: ($i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_34, type, meets: ($i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_35, type, misses: ($i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_36, type, cartesian_product: ($i > $o) > ($i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_37, type, pair_rel: $i > $i > $i > $i > $o). 0.15/0.42 thf(decl_38, type, id_rel: ($i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_39, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.15/0.42 thf(decl_40, type, is_rel_on: ($i > $i > $o) > ($i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_41, type, restrict_rel_domain: ($i > $i > $o) > ($i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_42, type, rel_diagonal: $i > $i > $o). 0.15/0.42 thf(decl_43, type, rel_composition: ($i > $i > $o) > ($i > $i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_44, type, reflexive: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_45, type, irreflexive: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_46, type, symmetric: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_47, type, transitive: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_48, type, equiv_rel: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_49, type, rel_codomain: ($i > $i > $o) > $i > $o). 0.15/0.42 thf(decl_50, type, rel_domain: ($i > $i > $o) > $i > $o). 0.15/0.42 thf(decl_51, type, rel_inverse: ($i > $i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_52, type, equiv_classes: ($i > $i > $o) > ($i > $o) > $o). 0.15/0.42 thf(decl_53, type, restrict_rel_codomain: ($i > $i > $o) > ($i > $o) > $i > $i > $o). 0.15/0.42 thf(decl_54, type, rel_field: ($i > $i > $o) > $i > $o). 0.15/0.42 thf(decl_55, type, well_founded: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_56, type, upwards_well_founded: ($i > $i > $o) > $o). 0.15/0.42 thf(decl_57, type, a: $i > $o). 0.15/0.42 thf(decl_58, type, epred1_0: $i > $i > $o). 0.15/0.42 thf(decl_59, type, esk1_0: $i). 0.15/0.42 thf(decl_60, type, esk2_0: $i). 0.15/0.42 thf(subset, axiom, ((subset)=(^[X16:$i > $o, X17:$i > $o]:(![X4:$i]:(((X16 @ X4)=>(X17 @ X4)))))), file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax', subset)). 0.15/0.42 thf(cartesian_product, axiom, ((cartesian_product)=(^[X22:$i > $o, X23:$i > $o, X4:$i, X24:$i]:(((X22 @ X4)&(X23 @ X24))))), file('/export/starexec/sandbox/benchmark/Axioms/SET008^2.ax', cartesian_product)). 0.15/0.42 thf(sub_rel, axiom, ((sub_rel)=(^[X26:$i > $i > $o, X27:$i > $i > $o]:(![X1:$i, X3:$i]:(((X26 @ X1 @ X3)=>(X27 @ X1 @ X3)))))), file('/export/starexec/sandbox/benchmark/Axioms/SET008^2.ax', sub_rel)). 0.15/0.42 thf(rel_domain, axiom, ((rel_domain)=(^[X28:$i > $i > $o, X1:$i]:(?[X3:$i]:((X28 @ X1 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/SET008^2.ax', rel_domain)). 0.15/0.42 thf(thm, conjecture, ![X28:$i > $i > $o]:(((sub_rel @ X28 @ (cartesian_product @ a @ (^[X1:$i]:(($true)))))<=(subset @ (rel_domain @ X28) @ a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thm)). 0.15/0.42 thf(c_0_5, plain, ((subset)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((Z0 @ X4)=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[subset])). 0.15/0.42 thf(c_0_6, plain, ((cartesian_product)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i, Z3:$i]:(((Z0 @ Z2)&(Z1 @ Z3))))), inference(fof_simplification,[status(thm)],[cartesian_product])). 0.15/0.42 thf(c_0_7, plain, ((sub_rel)=(^[Z0:$i > $i > $o, Z1:$i > $i > $o]:(![X1:$i, X3:$i]:(((Z0 @ X1 @ X3)=>(Z1 @ X1 @ X3)))))), inference(fof_simplification,[status(thm)],[sub_rel])). 0.15/0.42 thf(c_0_8, plain, ((rel_domain)=(^[Z0:$i > $i > $o, Z1:$i]:(?[X3:$i]:((Z0 @ Z1 @ X3))))), inference(fof_simplification,[status(thm)],[rel_domain])). 0.15/0.42 thf(c_0_9, negated_conjecture, ~(![X28:$i > $i > $o]:((![X48:$i]:((?[X47:$i]:((X28 @ X48 @ X47))=>(a @ X48)))=>![X45:$i, X46:$i]:(((X28 @ X45 @ X46)=>(a @ X45)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm])]), c_0_5]), c_0_6]), c_0_7]), c_0_8])])). 0.15/0.42 thf(c_0_10, negated_conjecture, ![X50:$i, X51:$i]:(((~(epred1_0 @ X50 @ X51)|(a @ X50))&((epred1_0 @ esk1_0 @ esk2_0)&~(a @ esk1_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])). 0.15/0.42 thf(c_0_11, negated_conjecture, ![X1:$i, X3:$i]:(((a @ X1)|~((epred1_0 @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.42 thf(c_0_12, negated_conjecture, (epred1_0 @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.42 thf(c_0_13, negated_conjecture, ~((a @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.42 thf(c_0_14, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13]), ['proof']). 0.15/0.42 # SZS output end CNFRefutation 0.15/0.42 # Parsed axioms : 72 0.15/0.42 # Removed by relevancy pruning/SinE : 0 0.15/0.42 # Initial clauses : 39 0.15/0.42 # Removed in clause preprocessing : 36 0.15/0.42 # Initial clauses in saturation : 3 0.15/0.42 # Processed clauses : 6 0.15/0.42 # ...of these trivial : 0 0.15/0.42 # ...subsumed : 0 0.15/0.42 # ...remaining for further processing : 6 0.15/0.42 # Other redundant clauses eliminated : 0 0.15/0.42 # Clauses deleted for lack of memory : 0 0.15/0.42 # Backward-subsumed : 0 0.15/0.42 # Backward-rewritten : 0 0.15/0.42 # Generated clauses : 1 0.15/0.42 # ...of the previous two non-redundant : 0 0.15/0.42 # ...aggressively subsumed : 0 0.15/0.42 # Contextual simplify-reflections : 0 0.15/0.42 # Paramodulations : 1 0.15/0.42 # Factorizations : 0 0.15/0.42 # NegExts : 0 0.15/0.42 # Equation resolutions : 0 0.15/0.42 # Propositional unsat checks : 0 0.15/0.42 # Propositional check models : 0 0.15/0.42 # Propositional check unsatisfiable : 0 0.15/0.42 # Propositional clauses : 0 0.15/0.42 # Propositional clauses after purity: 0 0.15/0.42 # Propositional unsat core size : 0 0.15/0.42 # Propositional preprocessing time : 0.000 0.15/0.42 # Propositional encoding time : 0.000 0.15/0.42 # Propositional solver time : 0.000 0.15/0.42 # Success case prop preproc time : 0.000 0.15/0.42 # Success case prop encoding time : 0.000 0.15/0.42 # Success case prop solver time : 0.000 0.15/0.42 # Current number of processed clauses : 3 0.15/0.42 # Positive orientable unit clauses : 1 0.15/0.42 # Positive unorientable unit clauses: 0 0.15/0.42 # Negative unit clauses : 1 0.15/0.42 # Non-unit-clauses : 1 0.15/0.42 # Current number of unprocessed clauses: 0 0.15/0.42 # ...number of literals in the above : 0 0.15/0.42 # Current number of archived formulas : 0 0.15/0.42 # Current number of archived clauses : 3 0.15/0.42 # Clause-clause subsumption calls (NU) : 0 0.15/0.42 # Rec. Clause-clause subsumption calls : 0 0.15/0.42 # Non-unit clause-clause subsumptions : 0 0.15/0.42 # Unit Clause-clause subsumption calls : 0 0.15/0.42 # Rewrite failures with RHS unbound : 0 0.15/0.42 # BW rewrite match attempts : 0 0.15/0.42 # BW rewrite match successes : 0 0.15/0.42 # Condensation attempts : 6 0.15/0.42 # Condensation successes : 0 0.15/0.42 # Termbank termtop insertions : 1860 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.003 s 0.15/0.42 # System time : 0.002 s 0.15/0.42 # Total time : 0.005 s 0.15/0.42 # Maximum resident set size: 1924 pages 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.004 s 0.15/0.42 # System time : 0.004 s 0.15/0.42 # Total time : 0.008 s 0.15/0.42 # Maximum resident set size: 1808 pages 0.15/0.42 EOF