0.06/0.19 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.19 % Command : run_E %s %d THM 0.11/0.42 % Computer : n006.cluster.edu 0.11/0.42 % Model : x86_64 x86_64 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.42 % Memory : 8042.1875MB 0.11/0.42 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.42 % CPULimit : 1440 0.11/0.42 % WCLimit : 180 0.11/0.42 % DateTime : Thu Jul 4 09:11:24 EDT 2024 0.11/0.42 % CPUTime : 0.27/0.61 Running higher-order theorem proving 0.28/0.64 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.bu8p0PtfXO/E---3.1_9678.p 0.31/0.70 # Version: 3.2.0-ho 0.31/0.70 # Preprocessing class: HSLMSMSSLLLCHSA. 0.31/0.70 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.70 # Starting lpo1_fix with 540s (3) cores 0.31/0.70 # Starting full_lambda_9 with 180s (1) cores 0.31/0.70 # Starting almost_fo_4 with 180s (1) cores 0.31/0.70 # Starting new_ho_9 with 180s (1) cores 0.31/0.70 # Starting pre_casc_4 with 180s (1) cores 0.31/0.70 # Starting ho_unfolding_6 with 180s (1) cores 0.31/0.70 # pre_casc_4 with pid 9760 completed with status 0 0.31/0.70 # Result found by pre_casc_4 0.31/0.70 # Preprocessing class: HSLMSMSSLLLCHSA. 0.31/0.70 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.70 # Starting lpo1_fix with 540s (3) cores 0.31/0.70 # Starting full_lambda_9 with 180s (1) cores 0.31/0.70 # Starting almost_fo_4 with 180s (1) cores 0.31/0.70 # Starting new_ho_9 with 180s (1) cores 0.31/0.70 # Starting pre_casc_4 with 180s (1) cores 0.31/0.70 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.31/0.70 # Search class: HGUSM-FFMM31-DHSMMSBN 0.31/0.70 # partial match(3): HGHSM-FFMM31-SHSSMSBN 0.31/0.70 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.31/0.70 # Starting new_ho_10 with 98s (1) cores 0.31/0.70 # new_ho_10 with pid 9762 completed with status 0 0.31/0.70 # Result found by new_ho_10 0.31/0.70 # Preprocessing class: HSLMSMSSLLLCHSA. 0.31/0.70 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.70 # Starting lpo1_fix with 540s (3) cores 0.31/0.70 # Starting full_lambda_9 with 180s (1) cores 0.31/0.70 # Starting almost_fo_4 with 180s (1) cores 0.31/0.70 # Starting new_ho_9 with 180s (1) cores 0.31/0.70 # Starting pre_casc_4 with 180s (1) cores 0.31/0.70 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.31/0.70 # Search class: HGUSM-FFMM31-DHSMMSBN 0.31/0.70 # partial match(3): HGHSM-FFMM31-SHSSMSBN 0.31/0.70 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.31/0.70 # Starting new_ho_10 with 98s (1) cores 0.31/0.70 # Preprocessing time : 0.004 s 0.31/0.70 # Presaturation interreduction done 0.31/0.70 0.31/0.70 # Proof found! 0.31/0.70 # SZS status Theorem 0.31/0.70 # SZS output start CNFRefutation 0.31/0.70 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.31/0.70 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.31/0.70 thf(decl_25, type, in: $i > $i > $o). 0.31/0.70 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.31/0.70 thf(decl_123, type, nat: $i). 0.31/0.70 thf(decl_124, type, n_is: $i > $i > $o). 0.31/0.70 thf(decl_142, type, n_pl: $i > $i > $i). 0.31/0.70 thf(decl_153, type, esk1_0: $i). 0.31/0.70 thf(decl_154, type, esk2_0: $i). 0.31/0.70 thf(decl_155, type, esk3_0: $i). 0.31/0.70 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.bu8p0PtfXO/E---3.1_9678.p', def_all_of)). 0.31/0.70 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.bu8p0PtfXO/E---3.1_9678.p', def_is_of)). 0.31/0.70 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.bu8p0PtfXO/E---3.1_9678.p', def_e_is)). 0.31/0.70 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.bu8p0PtfXO/E---3.1_9678.p', def_n_is)). 0.31/0.70 thf(satz19b, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X244:$i]:((in @ X244 @ nat))) @ (^[X245:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((n_is @ (n_pl @ X1 @ X4) @ (n_pl @ X245 @ X4))<=(n_is @ X1 @ X245))))))))))), file('/export/starexec/sandbox/tmp/tmp.bu8p0PtfXO/E---3.1_9678.p', satz19b)). 0.31/0.70 thf(c_0_5, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 0.31/0.70 thf(c_0_6, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.31/0.70 thf(c_0_7, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 0.31/0.70 thf(c_0_8, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_5, c_0_6])). 0.31/0.70 thf(c_0_9, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_7])). 0.31/0.70 thf(c_0_10, negated_conjecture, ~(![X358:$i]:(((in @ X358 @ nat)=>![X357:$i]:(((in @ X357 @ nat)=>![X356:$i]:(((in @ X356 @ nat)=>(((X358)=(X357))=>((n_pl @ X358 @ X356)=(n_pl @ X357 @ X356)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz19b])]), c_0_8]), c_0_9])])). 0.31/0.70 thf(c_0_11, negated_conjecture, ((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((in @ esk3_0 @ nat)&(((esk1_0)=(esk2_0))&((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk3_0)))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])). 0.31/0.70 thf(c_0_12, negated_conjecture, ((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.31/0.70 thf(c_0_13, negated_conjecture, ((esk1_0)=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.31/0.70 thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])]), ['proof']). 0.31/0.70 # SZS output end CNFRefutation 0.31/0.70 # Parsed axioms : 370 0.31/0.70 # Removed by relevancy pruning/SinE : 298 0.31/0.70 # Initial clauses : 112 0.31/0.70 # Removed in clause preprocessing : 3 0.31/0.70 # Initial clauses in saturation : 109 0.31/0.70 # Processed clauses : 3 0.31/0.70 # ...of these trivial : 0 0.31/0.70 # ...subsumed : 0 0.31/0.70 # ...remaining for further processing : 2 0.31/0.70 # Other redundant clauses eliminated : 0 0.31/0.70 # Clauses deleted for lack of memory : 0 0.31/0.70 # Backward-subsumed : 0 0.31/0.70 # Backward-rewritten : 0 0.31/0.70 # Generated clauses : 0 0.31/0.70 # ...of the previous two non-redundant : 0 0.31/0.70 # ...aggressively subsumed : 0 0.31/0.70 # Contextual simplify-reflections : 0 0.31/0.70 # Paramodulations : 0 0.31/0.70 # Factorizations : 0 0.31/0.70 # NegExts : 0 0.31/0.70 # Equation resolutions : 0 0.31/0.70 # Disequality decompositions : 0 0.31/0.70 # Total rewrite steps : 1 0.31/0.70 # ...of those cached : 0 0.31/0.70 # Propositional unsat checks : 0 0.31/0.70 # Propositional check models : 0 0.31/0.70 # Propositional check unsatisfiable : 0 0.31/0.70 # Propositional clauses : 0 0.31/0.70 # Propositional clauses after purity: 0 0.31/0.70 # Propositional unsat core size : 0 0.31/0.70 # Propositional preprocessing time : 0.000 0.31/0.70 # Propositional encoding time : 0.000 0.31/0.70 # Propositional solver time : 0.000 0.31/0.70 # Success case prop preproc time : 0.000 0.31/0.70 # Success case prop encoding time : 0.000 0.31/0.70 # Success case prop solver time : 0.000 0.31/0.70 # Current number of processed clauses : 2 0.31/0.70 # Positive orientable unit clauses : 2 0.31/0.70 # Positive unorientable unit clauses: 0 0.31/0.70 # Negative unit clauses : 0 0.31/0.70 # Non-unit-clauses : 0 0.31/0.70 # Current number of unprocessed clauses: 106 0.31/0.70 # ...number of literals in the above : 293 0.31/0.70 # Current number of archived formulas : 0 0.31/0.70 # Current number of archived clauses : 0 0.31/0.70 # Clause-clause subsumption calls (NU) : 0 0.31/0.70 # Rec. Clause-clause subsumption calls : 0 0.31/0.70 # Non-unit clause-clause subsumptions : 0 0.31/0.70 # Unit Clause-clause subsumption calls : 0 0.31/0.70 # Rewrite failures with RHS unbound : 0 0.31/0.70 # BW rewrite match attempts : 0 0.31/0.70 # BW rewrite match successes : 0 0.31/0.70 # Condensation attempts : 3 0.31/0.70 # Condensation successes : 0 0.31/0.70 # Termbank termtop insertions : 14422 0.31/0.70 # Search garbage collected termcells : 5747 0.31/0.70 0.31/0.70 # ------------------------------------------------- 0.31/0.70 # User time : 0.010 s 0.31/0.70 # System time : 0.006 s 0.31/0.70 # Total time : 0.015 s 0.31/0.70 # Maximum resident set size: 3224 pages 0.31/0.70 0.31/0.70 # ------------------------------------------------- 0.31/0.70 # User time : 0.017 s 0.31/0.70 # System time : 0.009 s 0.31/0.70 # Total time : 0.027 s 0.31/0.70 # Maximum resident set size: 2284 pages 0.31/0.70 % E---3.1 exiting 0.31/0.71 % E exiting 0.31/0.71 EOF