0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n017.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 : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 05:57:39 EDT 2024 0.12/0.34 % CPUTime : 0.21/0.49 Running higher-order theorem proving 0.21/0.50 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=180 /export/starexec/sandbox/tmp/tmp.i3cbkJr06e/E---3.1_20255.p 0.21/0.51 # Version: 3.2.0-ho 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_9 with 900s (5) cores 0.21/0.51 # Starting post_as_ho1 with 180s (1) cores 0.21/0.51 # Starting sh1l with 180s (1) cores 0.21/0.51 # Starting post_as_ho10 with 180s (1) cores 0.21/0.51 # post_as_ho1 with pid 20392 completed with status 0 0.21/0.51 # Result found by post_as_ho1 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_9 with 900s (5) cores 0.21/0.51 # Starting post_as_ho1 with 180s (1) cores 0.21/0.51 # No SInE strategy applied 0.21/0.51 # Search class: HUHSF-FFSS33-SHSSMSNN 0.21/0.51 # partial match(4): HGHNF-FFSS33-SHHSMSBN 0.21/0.51 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.51 # Starting new_ho_10 with 98s (1) cores 0.21/0.51 # new_ho_10 with pid 20399 completed with status 0 0.21/0.51 # Result found by new_ho_10 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_9 with 900s (5) cores 0.21/0.51 # Starting post_as_ho1 with 180s (1) cores 0.21/0.51 # No SInE strategy applied 0.21/0.51 # Search class: HUHSF-FFSS33-SHSSMSNN 0.21/0.51 # partial match(4): HGHNF-FFSS33-SHHSMSBN 0.21/0.51 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.51 # Starting new_ho_10 with 98s (1) cores 0.21/0.51 # Preprocessing time : 0.001 s 0.21/0.51 # Presaturation interreduction done 0.21/0.51 0.21/0.51 # Proof found! 0.21/0.51 # SZS status Theorem 0.21/0.51 # SZS output start CNFRefutation 0.21/0.51 thf(decl_29, type, intersection: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_33, type, subset: ($i > $o) > ($i > $o) > $o). 0.21/0.51 thf(decl_36, type, fun_image: ($i > $i) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_44, type, epred1_0: $i > $o). 0.21/0.51 thf(decl_45, type, epred2_0: $i > $o). 0.21/0.51 thf(decl_46, type, esk1_0: $i > $i). 0.21/0.51 thf(decl_47, type, esk2_0: $i). 0.21/0.51 thf(decl_48, type, esk3_0: $i). 0.21/0.51 thf(intersection, axiom, ((intersection)=(^[X9:$i > $o, X10:$i > $o, X4:$i]:(((X9 @ X4)&(X10 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.i3cbkJr06e/E---3.1_20255.p', intersection)). 0.21/0.51 thf(subset, axiom, ((subset)=(^[X16:$i > $o, X17:$i > $o]:(![X4:$i]:(((X16 @ X4)=>(X17 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.i3cbkJr06e/E---3.1_20255.p', subset)). 0.21/0.51 thf(fun_image, axiom, ((fun_image)=(^[X22:$i > $i, X23:$i > $o, X3:$i]:(?[X1:$i]:(((X23 @ X1)&((X3)=(X22 @ X1))))))), file('/export/starexec/sandbox/tmp/tmp.i3cbkJr06e/E---3.1_20255.p', fun_image)). 0.21/0.51 thf(thm, conjecture, ![X27:$i > $o, X28:$i > $o, X22:$i > $i]:((subset @ (fun_image @ X22 @ (intersection @ X27 @ X28)) @ (intersection @ (fun_image @ X22 @ X27) @ (fun_image @ X22 @ X28)))), file('/export/starexec/sandbox/tmp/tmp.i3cbkJr06e/E---3.1_20255.p', thm)). 0.21/0.51 thf(c_0_4, plain, ((intersection)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[intersection])). 0.21/0.51 thf(c_0_5, plain, ((subset)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:(((Z0 @ X4)=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[subset])). 0.21/0.51 thf(c_0_6, plain, ((fun_image)=(^[Z0/* 19 */:$i > $i, Z1:$i > $o, Z2:$i]:(?[X1:$i]:(((Z1 @ X1)&((Z2)=(Z0 @ X1))))))), inference(fof_simplification,[status(thm)],[fun_image])). 0.21/0.51 thf(c_0_7, negated_conjecture, ~(![X27:$i > $o, X28:$i > $o, X22:$i > $i, X39:$i]:((?[X36:$i]:((((X27 @ X36)&(X28 @ X36))&((X39)=(X22 @ X36))))=>(?[X37:$i]:(((X27 @ X37)&((X39)=(X22 @ X37))))&?[X38:$i]:(((X28 @ X38)&((X39)=(X22 @ X38)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_4]), c_0_5]), c_0_6])). 0.21/0.51 thf(c_0_8, negated_conjecture, ![X51:$i, X52:$i]:(((((epred1_0 @ esk3_0)&(epred2_0 @ esk3_0))&((esk2_0)=(esk1_0 @ esk3_0)))&(~(epred1_0 @ X51)|((esk2_0)!=(esk1_0 @ X51))|(~(epred2_0 @ X52)|((esk2_0)!=(esk1_0 @ X52)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 0.21/0.51 thf(c_0_9, negated_conjecture, ![X1:$i, X3:$i]:((~((epred1_0 @ X1))|((esk2_0)!=(esk1_0 @ X1))|~((epred2_0 @ X3))|((esk2_0)!=(esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.21/0.51 thf(c_0_10, negated_conjecture, (epred1_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_8])). 0.21/0.51 thf(c_0_11, negated_conjecture, ((esk2_0)=(esk1_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.21/0.51 thf(c_0_12, negated_conjecture, ![X1:$i]:((((esk1_0 @ X1)!=(esk2_0))|~((epred2_0 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])). 0.21/0.51 thf(c_0_13, negated_conjecture, (epred2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_8])). 0.21/0.51 thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_11])]), ['proof']). 0.21/0.51 # SZS output end CNFRefutation 0.21/0.51 # Parsed axioms : 45 0.21/0.51 # Removed by relevancy pruning/SinE : 0 0.21/0.51 # Initial clauses : 27 0.21/0.51 # Removed in clause preprocessing : 22 0.21/0.51 # Initial clauses in saturation : 5 0.21/0.51 # Processed clauses : 11 0.21/0.51 # ...of these trivial : 0 0.21/0.51 # ...subsumed : 0 0.21/0.51 # ...remaining for further processing : 11 0.21/0.51 # Other redundant clauses eliminated : 0 0.21/0.51 # Clauses deleted for lack of memory : 0 0.21/0.51 # Backward-subsumed : 1 0.21/0.51 # Backward-rewritten : 0 0.21/0.51 # Generated clauses : 2 0.21/0.51 # ...of the previous two non-redundant : 1 0.21/0.51 # ...aggressively subsumed : 0 0.21/0.51 # Contextual simplify-reflections : 0 0.21/0.51 # Paramodulations : 2 0.21/0.51 # Factorizations : 0 0.21/0.51 # NegExts : 0 0.21/0.51 # Equation resolutions : 0 0.21/0.51 # Disequality decompositions : 0 0.21/0.51 # Total rewrite steps : 2 0.21/0.51 # ...of those cached : 1 0.21/0.51 # Propositional unsat checks : 0 0.21/0.51 # Propositional check models : 0 0.21/0.51 # Propositional check unsatisfiable : 0 0.21/0.51 # Propositional clauses : 0 0.21/0.51 # Propositional clauses after purity: 0 0.21/0.51 # Propositional unsat core size : 0 0.21/0.51 # Propositional preprocessing time : 0.000 0.21/0.51 # Propositional encoding time : 0.000 0.21/0.51 # Propositional solver time : 0.000 0.21/0.51 # Success case prop preproc time : 0.000 0.21/0.51 # Success case prop encoding time : 0.000 0.21/0.51 # Success case prop solver time : 0.000 0.21/0.51 # Current number of processed clauses : 5 0.21/0.51 # Positive orientable unit clauses : 4 0.21/0.51 # Positive unorientable unit clauses: 0 0.21/0.51 # Negative unit clauses : 0 0.21/0.51 # Non-unit-clauses : 1 0.21/0.51 # Current number of unprocessed clauses: 0 0.21/0.51 # ...number of literals in the above : 0 0.21/0.51 # Current number of archived formulas : 0 0.21/0.51 # Current number of archived clauses : 6 0.21/0.51 # Clause-clause subsumption calls (NU) : 3 0.21/0.51 # Rec. Clause-clause subsumption calls : 3 0.21/0.51 # Non-unit clause-clause subsumptions : 1 0.21/0.51 # Unit Clause-clause subsumption calls : 0 0.21/0.51 # Rewrite failures with RHS unbound : 0 0.21/0.51 # BW rewrite match attempts : 0 0.21/0.51 # BW rewrite match successes : 0 0.21/0.51 # Condensation attempts : 11 0.21/0.51 # Condensation successes : 0 0.21/0.51 # Termbank termtop insertions : 1473 0.21/0.51 # Search garbage collected termcells : 278 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.003 s 0.21/0.51 # System time : 0.003 s 0.21/0.51 # Total time : 0.006 s 0.21/0.51 # Maximum resident set size: 1912 pages 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.004 s 0.21/0.51 # System time : 0.006 s 0.21/0.51 # Total time : 0.010 s 0.21/0.51 # Maximum resident set size: 1768 pages 0.21/0.51 % E---3.1 exiting 0.21/0.51 % E exiting 0.21/0.51 EOF