0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n001.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:02:24 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.48 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.tIwneD9r3P/E---3.1_10286.p 0.20/0.50 # Version: 3.2.0-ho 0.20/0.50 # Preprocessing class: HSSSSMSSMLSNHSN. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.50 # Starting new_ho_9 with 900s (5) cores 0.20/0.50 # Starting post_as_ho1 with 180s (1) cores 0.20/0.50 # Starting sh1l with 180s (1) cores 0.20/0.50 # Starting post_as_ho10 with 180s (1) cores 0.20/0.50 # post_as_ho10 with pid 10369 completed with status 0 0.20/0.50 # Result found by post_as_ho10 0.20/0.50 # Preprocessing class: HSSSSMSSMLSNHSN. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.50 # Starting new_ho_9 with 900s (5) cores 0.20/0.50 # Starting post_as_ho1 with 180s (1) cores 0.20/0.50 # Starting sh1l with 180s (1) cores 0.20/0.50 # Starting post_as_ho10 with 180s (1) cores 0.20/0.50 # No SInE strategy applied 0.20/0.50 # Search class: HGHNF-FFSS00-SHSSMFNN 0.20/0.50 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.20/0.50 # Starting new_ho_10 with 98s (1) cores 0.20/0.50 # new_ho_10 with pid 10374 completed with status 0 0.20/0.50 # Result found by new_ho_10 0.20/0.50 # Preprocessing class: HSSSSMSSMLSNHSN. 0.20/0.50 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.50 # Starting new_ho_9 with 900s (5) cores 0.20/0.50 # Starting post_as_ho1 with 180s (1) cores 0.20/0.50 # Starting sh1l with 180s (1) cores 0.20/0.50 # Starting post_as_ho10 with 180s (1) cores 0.20/0.50 # No SInE strategy applied 0.20/0.50 # Search class: HGHNF-FFSS00-SHSSMFNN 0.20/0.50 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.20/0.50 # Starting new_ho_10 with 98s (1) cores 0.20/0.50 # Preprocessing time : 0.001 s 0.20/0.50 # Presaturation interreduction done 0.20/0.50 0.20/0.50 # Proof found! 0.20/0.50 # SZS status Theorem 0.20/0.50 # SZS output start CNFRefutation 0.20/0.50 thf(decl_23, type, inv: ($i > $i > $o) > $i > $i > $o). 0.20/0.50 thf(decl_32, type, asymm: ($i > $i > $o) > $o). 0.20/0.50 thf(decl_34, type, trans: ($i > $i > $o) > $o). 0.20/0.50 thf(decl_39, type, so: ($i > $i > $o) > $o). 0.20/0.50 thf(decl_51, type, epred1_0: $i > $i > $o). 0.20/0.50 thf(decl_52, type, esk1_0: $i). 0.20/0.50 thf(decl_53, type, esk2_0: $i). 0.20/0.50 thf(decl_54, type, esk3_0: $i). 0.20/0.50 thf(decl_55, type, esk4_0: $i). 0.20/0.50 thf(decl_56, type, esk5_0: $i). 0.20/0.50 thf(strict_order, axiom, ((so)=(^[X1:$i > $i > $o]:(((asymm @ X1)&(trans @ X1))))), file('/export/starexec/sandbox/tmp/tmp.tIwneD9r3P/E---3.1_10286.p', strict_order)). 0.20/0.50 thf(asymmetric, axiom, ((asymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:(((X1 @ X3 @ X4)=>~((X1 @ X4 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.tIwneD9r3P/E---3.1_10286.p', asymmetric)). 0.20/0.50 thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((X1 @ X3 @ X4)&(X1 @ X4 @ X6))=>(X1 @ X3 @ X6)))))), file('/export/starexec/sandbox/tmp/tmp.tIwneD9r3P/E---3.1_10286.p', transitive)). 0.20/0.50 thf(inverse, axiom, ((inv)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:((X1 @ X4 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.tIwneD9r3P/E---3.1_10286.p', inverse)). 0.20/0.50 thf(inverse_of_strict_order_is_strict_order, conjecture, ![X1:$i > $i > $o]:(((so @ X1)=>(so @ (inv @ X1)))), file('/export/starexec/sandbox/tmp/tmp.tIwneD9r3P/E---3.1_10286.p', inverse_of_strict_order_is_strict_order)). 0.20/0.50 thf(c_0_5, plain, ((so)=(^[Z0/* 8 */:$i > $i > $o]:(((![X39:$i, X40:$i]:(((Z0 @ X39 @ X40)=>~((Z0 @ X40 @ X39)))))&(![X41:$i, X42:$i, X43:$i]:((((Z0 @ X41 @ X42)&(Z0 @ X42 @ X43))=>(Z0 @ X41 @ X43)))))))), inference(fof_simplification,[status(thm)],[strict_order])). 0.20/0.50 thf(c_0_6, plain, ((asymm)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i, X4:$i]:(((Z0 @ X3 @ X4)=>~((Z0 @ X4 @ X3))))))), inference(fof_simplification,[status(thm)],[asymmetric])). 0.20/0.50 thf(c_0_7, plain, ((trans)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((Z0 @ X3 @ X4)&(Z0 @ X4 @ X6))=>(Z0 @ X3 @ X6)))))), inference(fof_simplification,[status(thm)],[transitive])). 0.20/0.50 thf(c_0_8, plain, ((inv)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i, Z2:$i]:((Z0 @ Z2 @ Z1)))), inference(fof_simplification,[status(thm)],[inverse])). 0.20/0.50 thf(c_0_9, plain, ((so)=(^[Z0/* 8 */:$i > $i > $o]:(((![X39:$i, X40:$i]:(((Z0 @ X39 @ X40)=>~((Z0 @ X40 @ X39)))))&(![X41:$i, X42:$i, X43:$i]:((((Z0 @ X41 @ X42)&(Z0 @ X42 @ X43))=>(Z0 @ X41 @ X43)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_6]), c_0_7])). 0.20/0.50 thf(c_0_10, negated_conjecture, ~(![X1:$i > $i > $o]:(((![X158:$i, X159:$i]:(((X1 @ X158 @ X159)=>~((X1 @ X159 @ X158))))&![X160:$i, X161:$i, X162:$i]:((((X1 @ X160 @ X161)&(X1 @ X161 @ X162))=>(X1 @ X160 @ X162))))=>(![X163:$i, X164:$i]:(((X1 @ X164 @ X163)=>~((X1 @ X163 @ X164))))&![X165:$i, X166:$i, X167:$i]:((((X1 @ X166 @ X165)&(X1 @ X167 @ X166))=>(X1 @ X167 @ X165))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[inverse_of_strict_order_is_strict_order]), c_0_8]), c_0_9])). 0.20/0.50 thf(c_0_11, negated_conjecture, ![X169:$i, X170:$i, X171:$i, X172:$i, X173:$i]:((((~(epred1_0 @ X169 @ X170)|~(epred1_0 @ X170 @ X169))&(~(epred1_0 @ X171 @ X172)|~(epred1_0 @ X172 @ X173)|(epred1_0 @ X171 @ X173)))&(((((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0))&((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk2_0 @ esk1_0)))&(~(epred1_0 @ esk5_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0)))&((((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0))&((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk1_0 @ esk2_0)))&(~(epred1_0 @ esk5_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0)))))), inference(distribute,[status(thm)],[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_10])])])])])])). 0.20/0.50 thf(c_0_12, negated_conjecture, ![X3:$i, X4:$i, X6:$i]:(((epred1_0 @ X3 @ X6)|~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_13, negated_conjecture, ((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_14, negated_conjecture, ![X3:$i]:(((epred1_0 @ esk1_0 @ esk2_0)|(epred1_0 @ X3 @ esk3_0)|~((epred1_0 @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.20/0.50 thf(c_0_15, negated_conjecture, ((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_16, negated_conjecture, ((epred1_0 @ esk1_0 @ esk2_0)|~((epred1_0 @ esk5_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_17, negated_conjecture, ![X4:$i, X3:$i]:((~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_18, negated_conjecture, (epred1_0 @ esk1_0 @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 0.20/0.50 thf(c_0_19, negated_conjecture, ((epred1_0 @ esk4_0 @ esk3_0)|(epred1_0 @ esk2_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_20, negated_conjecture, ~((epred1_0 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.20/0.50 thf(c_0_21, negated_conjecture, (epred1_0 @ esk4_0 @ esk3_0), inference(sr,[status(thm)],[c_0_19, c_0_20])). 0.20/0.50 thf(c_0_22, negated_conjecture, ((epred1_0 @ esk5_0 @ esk4_0)|(epred1_0 @ esk2_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_23, negated_conjecture, ((epred1_0 @ esk2_0 @ esk1_0)|~((epred1_0 @ esk5_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.20/0.50 thf(c_0_24, negated_conjecture, ![X3:$i]:(((epred1_0 @ X3 @ esk3_0)|~((epred1_0 @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_12, c_0_21])). 0.20/0.50 thf(c_0_25, negated_conjecture, (epred1_0 @ esk5_0 @ esk4_0), inference(sr,[status(thm)],[c_0_22, c_0_20])). 0.20/0.50 thf(c_0_26, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])]), c_0_20]), ['proof']). 0.20/0.50 # SZS output end CNFRefutation 0.20/0.50 # Parsed axioms : 59 0.20/0.50 # Removed by relevancy pruning/SinE : 0 0.20/0.50 # Initial clauses : 37 0.20/0.50 # Removed in clause preprocessing : 29 0.20/0.50 # Initial clauses in saturation : 8 0.20/0.50 # Processed clauses : 31 0.20/0.50 # ...of these trivial : 0 0.20/0.50 # ...subsumed : 0 0.20/0.50 # ...remaining for further processing : 31 0.20/0.50 # Other redundant clauses eliminated : 0 0.20/0.50 # Clauses deleted for lack of memory : 0 0.20/0.50 # Backward-subsumed : 3 0.20/0.50 # Backward-rewritten : 7 0.20/0.50 # Generated clauses : 21 0.20/0.50 # ...of the previous two non-redundant : 18 0.20/0.50 # ...aggressively subsumed : 0 0.20/0.50 # Contextual simplify-reflections : 1 0.20/0.50 # Paramodulations : 19 0.20/0.50 # Factorizations : 0 0.20/0.50 # NegExts : 0 0.20/0.50 # Equation resolutions : 0 0.20/0.50 # Disequality decompositions : 0 0.20/0.50 # Total rewrite steps : 8 0.20/0.50 # ...of those cached : 6 0.20/0.50 # Propositional unsat checks : 0 0.20/0.50 # Propositional check models : 0 0.20/0.50 # Propositional check unsatisfiable : 0 0.20/0.50 # Propositional clauses : 0 0.20/0.50 # Propositional clauses after purity: 0 0.20/0.50 # Propositional unsat core size : 0 0.20/0.50 # Propositional preprocessing time : 0.000 0.20/0.50 # Propositional encoding time : 0.000 0.20/0.50 # Propositional solver time : 0.000 0.20/0.50 # Success case prop preproc time : 0.000 0.20/0.50 # Success case prop encoding time : 0.000 0.20/0.50 # Success case prop solver time : 0.000 0.20/0.50 # Current number of processed clauses : 11 0.20/0.50 # Positive orientable unit clauses : 3 0.20/0.50 # Positive unorientable unit clauses: 0 0.20/0.50 # Negative unit clauses : 3 0.20/0.50 # Non-unit-clauses : 5 0.20/0.50 # Current number of unprocessed clauses: 3 0.20/0.50 # ...number of literals in the above : 8 0.20/0.50 # Current number of archived formulas : 0 0.20/0.50 # Current number of archived clauses : 20 0.20/0.50 # Clause-clause subsumption calls (NU) : 83 0.20/0.50 # Rec. Clause-clause subsumption calls : 77 0.20/0.50 # Non-unit clause-clause subsumptions : 2 0.20/0.50 # Unit Clause-clause subsumption calls : 15 0.20/0.50 # Rewrite failures with RHS unbound : 0 0.20/0.50 # BW rewrite match attempts : 1 0.20/0.50 # BW rewrite match successes : 1 0.20/0.50 # Condensation attempts : 31 0.20/0.50 # Condensation successes : 0 0.20/0.50 # Termbank termtop insertions : 3563 0.20/0.50 # Search garbage collected termcells : 913 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.005 s 0.20/0.50 # System time : 0.004 s 0.20/0.50 # Total time : 0.009 s 0.20/0.50 # Maximum resident set size: 2160 pages 0.20/0.50 0.20/0.50 # ------------------------------------------------- 0.20/0.50 # User time : 0.007 s 0.20/0.50 # System time : 0.006 s 0.20/0.50 # Total time : 0.013 s 0.20/0.50 # Maximum resident set size: 1772 pages 0.20/0.50 % E---3.1 exiting 0.20/0.50 % E exiting 0.20/0.50 EOF