0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_E %s %d THM 0.13/0.33 % Computer : n014.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 04:58:01 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.46 Running higher-order on 8 cores theorem proving 0.19/0.46 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 0.19/0.46 # Version: 3.0pre003-ho 0.19/0.47 # Preprocessing class: HSSSSMSSSLSNHSA. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting post_as_ho12 with 600s (5) cores 0.19/0.47 # Starting post_as_ho4 with 120s (1) cores 0.19/0.47 # Starting lpo8_s with 120s (1) cores 0.19/0.47 # Starting sh5l with 120s (1) cores 0.19/0.47 # post_as_ho12 with pid 9746 completed with status 0 0.19/0.47 # Result found by post_as_ho12 0.19/0.47 # Preprocessing class: HSSSSMSSSLSNHSA. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting post_as_ho12 with 600s (5) cores 0.19/0.47 # No SInE strategy applied 0.19/0.47 # Search class: HUUPS-FFSF11-SHSFMFNN 0.19/0.47 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.19/0.47 # Starting new_ho_10 with 325s (1) cores 0.19/0.47 # Starting post_as_ho12 with 61s (1) cores 0.19/0.47 # Starting new_bool_1 with 55s (1) cores 0.19/0.47 # Starting new_bool_2 with 55s (1) cores 0.19/0.47 # Starting new_bool_9 with 55s (1) cores 0.19/0.47 # new_bool_1 with pid 9755 completed with status 0 0.19/0.47 # Result found by new_bool_1 0.19/0.47 # Preprocessing class: HSSSSMSSSLSNHSA. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting post_as_ho12 with 600s (5) cores 0.19/0.47 # No SInE strategy applied 0.19/0.47 # Search class: HUUPS-FFSF11-SHSFMFNN 0.19/0.47 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.19/0.47 # Starting new_ho_10 with 325s (1) cores 0.19/0.47 # Starting post_as_ho12 with 61s (1) cores 0.19/0.47 # Starting new_bool_1 with 55s (1) cores 0.19/0.47 # Preprocessing time : 0.001 s 0.19/0.47 # Presaturation interreduction done 0.19/0.47 0.19/0.47 # Proof found! 0.19/0.47 # SZS status Theorem 0.19/0.47 # SZS output start CNFRefutation 0.19/0.47 thf(decl_22, type, cGROUP3: (g > g > g) > g > $o). 0.19/0.47 thf(decl_23, type, cGRP_ASSOC: (g > g > g) > $o). 0.19/0.47 thf(decl_24, type, cGRP_RIGHT_INVERSE: (g > g > g) > g > $o). 0.19/0.47 thf(decl_25, type, cGRP_RIGHT_UNIT: (g > g > g) > g > $o). 0.19/0.47 thf(decl_26, type, esk1_0: g > g > g). 0.19/0.47 thf(decl_27, type, esk2_0: g). 0.19/0.47 thf(decl_28, type, esk3_1: g > g). 0.19/0.47 thf(decl_29, type, esk4_0: g). 0.19/0.47 thf(cGROUP3_def, axiom, ((cGROUP3)=(^[X1:g > g > g, X5:g]:((((cGRP_ASSOC @ X1)&(cGRP_RIGHT_UNIT @ X1 @ X5))&(cGRP_RIGHT_INVERSE @ X1 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cGROUP3_def)). 0.19/0.47 thf(cGRP_ASSOC_def, axiom, ((cGRP_ASSOC)=(^[X1:g > g > g]:(![X2:g, X3:g, X4:g]:(((X1 @ (X1 @ X2 @ X3) @ X4)=(X1 @ X2 @ (X1 @ X3 @ X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cGRP_ASSOC_def)). 0.19/0.47 thf(cGRP_RIGHT_INVERSE_def, axiom, ((cGRP_RIGHT_INVERSE)=(^[X1:g > g > g, X5:g]:(![X2:g]:(?[X3:g]:(((X1 @ X2 @ X3)=(X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cGRP_RIGHT_INVERSE_def)). 0.19/0.47 thf(cGRP_RIGHT_UNIT_def, axiom, ((cGRP_RIGHT_UNIT)=(^[X1:g > g > g, X5:g]:(![X2:g]:(((X1 @ X2 @ X5)=(X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cGRP_RIGHT_UNIT_def)). 0.19/0.47 thf(cE13A2, conjecture, ![X1:g > g > g, X5:g]:(((cGROUP3 @ X1 @ X5)=>![X2:g]:(((X1 @ X5 @ X2)=(X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cE13A2)). 0.19/0.47 thf(c_0_5, plain, ((cGROUP3)=(^[Z0:g > g > g, Z1:g]:((((![X9:g, X10:g, X11:g]:(((Z0 @ (Z0 @ X9 @ X10) @ X11)=(Z0 @ X9 @ (Z0 @ X10 @ X11)))))&(![X12:g]:(((Z0 @ X12 @ Z1)=(X12)))))&(![X13:g]:(?[X14:g]:(((Z0 @ X13 @ X14)=(Z1))))))))), inference(fof_simplification,[status(thm)],[cGROUP3_def])). 0.19/0.47 thf(c_0_6, plain, ((cGRP_ASSOC)=(^[Z0:g > g > g]:(![X2:g, X3:g, X4:g]:(((Z0 @ (Z0 @ X2 @ X3) @ X4)=(Z0 @ X2 @ (Z0 @ X3 @ X4))))))), inference(fof_simplification,[status(thm)],[cGRP_ASSOC_def])). 0.19/0.47 thf(c_0_7, plain, ((cGRP_RIGHT_INVERSE)=(^[Z0:g > g > g, Z1:g]:(![X2:g]:(?[X3:g]:(((Z0 @ X2 @ X3)=(Z1))))))), inference(fof_simplification,[status(thm)],[cGRP_RIGHT_INVERSE_def])). 0.19/0.47 thf(c_0_8, plain, ((cGRP_RIGHT_UNIT)=(^[Z0:g > g > g, Z1:g]:(![X2:g]:(((Z0 @ X2 @ Z1)=(X2)))))), inference(fof_simplification,[status(thm)],[cGRP_RIGHT_UNIT_def])). 0.19/0.47 thf(c_0_9, plain, ((cGROUP3)=(^[Z0:g > g > g, Z1:g]:((((![X9:g, X10:g, X11:g]:(((Z0 @ (Z0 @ X9 @ X10) @ X11)=(Z0 @ X9 @ (Z0 @ X10 @ X11)))))&(![X12:g]:(((Z0 @ X12 @ Z1)=(X12)))))&(![X13:g]:(?[X14:g]:(((Z0 @ X13 @ X14)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_6]), c_0_7]), c_0_8])). 0.19/0.47 thf(c_0_10, negated_conjecture, ~(![X1:g > g > g, X5:g]:((((![X15:g, X16:g, X17:g]:(((X1 @ (X1 @ X15 @ X16) @ X17)=(X1 @ X15 @ (X1 @ X16 @ X17))))&![X18:g]:(((X1 @ X18 @ X5)=(X18))))&![X19:g]:(?[X20:g]:(((X1 @ X19 @ X20)=(X5)))))=>![X2:g]:(((X1 @ X5 @ X2)=(X2)))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cE13A2]), c_0_9])). 0.19/0.47 thf(c_0_11, negated_conjecture, ![X23:g, X24:g, X25:g, X26:g, X27:g]:((((((esk1_0 @ (esk1_0 @ X23 @ X24) @ X25)=(esk1_0 @ X23 @ (esk1_0 @ X24 @ X25)))&((esk1_0 @ X26 @ esk2_0)=(X26)))&((esk1_0 @ X27 @ (esk3_1 @ X27))=(esk2_0)))&((esk1_0 @ esk2_0 @ esk4_0)!=(esk4_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])). 0.19/0.47 thf(c_0_12, negated_conjecture, ![X2:g, X3:g, X4:g]:(((esk1_0 @ (esk1_0 @ X2 @ X3) @ X4)=(esk1_0 @ X2 @ (esk1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.47 thf(c_0_13, negated_conjecture, ![X2:g]:(((esk1_0 @ X2 @ (esk3_1 @ X2))=(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.47 thf(c_0_14, negated_conjecture, ![X2:g]:(((esk1_0 @ X2 @ esk2_0)=(X2))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.47 thf(c_0_15, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk1_0 @ (esk3_1 @ X2) @ X3))=(esk1_0 @ esk2_0 @ X3))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.19/0.47 thf(c_0_16, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk1_0 @ esk2_0 @ X3))=(esk1_0 @ X2 @ X3))), inference(spm,[status(thm)],[c_0_12, c_0_14])). 0.19/0.47 thf(c_0_17, negated_conjecture, ![X2:g]:(((esk1_0 @ esk2_0 @ (esk3_1 @ (esk3_1 @ X2)))=(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_13]), c_0_14])). 0.19/0.47 thf(c_0_18, negated_conjecture, ![X2:g, X3:g]:(((esk1_0 @ X2 @ (esk3_1 @ (esk3_1 @ X3)))=(esk1_0 @ X2 @ X3))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.19/0.47 thf(c_0_19, negated_conjecture, ((esk1_0 @ esk2_0 @ esk4_0)!=(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.47 thf(c_0_20, negated_conjecture, ![X2:g]:(((esk1_0 @ esk2_0 @ X2)=(X2))), inference(rw,[status(thm)],[c_0_17, c_0_18])). 0.19/0.47 thf(c_0_21, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])]), ['proof']). 0.19/0.47 # SZS output end CNFRefutation 0.19/0.47 # Parsed axioms : 10 0.19/0.47 # Removed by relevancy pruning/SinE : 0 0.19/0.47 # Initial clauses : 9 0.19/0.47 # Removed in clause preprocessing : 5 0.19/0.47 # Initial clauses in saturation : 4 0.19/0.47 # Processed clauses : 14 0.19/0.47 # ...of these trivial : 0 0.19/0.47 # ...subsumed : 0 0.19/0.47 # ...remaining for further processing : 14 0.19/0.47 # Other redundant clauses eliminated : 0 0.19/0.47 # Clauses deleted for lack of memory : 0 0.19/0.47 # Backward-subsumed : 0 0.19/0.47 # Backward-rewritten : 4 0.19/0.47 # Generated clauses : 30 0.19/0.47 # ...of the previous two non-redundant : 15 0.19/0.47 # ...aggressively subsumed : 0 0.19/0.47 # Contextual simplify-reflections : 0 0.19/0.47 # Paramodulations : 30 0.19/0.47 # Factorizations : 0 0.19/0.47 # NegExts : 0 0.19/0.47 # Equation resolutions : 0 0.19/0.47 # Propositional unsat checks : 0 0.19/0.47 # Propositional check models : 0 0.19/0.47 # Propositional check unsatisfiable : 0 0.19/0.47 # Propositional clauses : 0 0.19/0.47 # Propositional clauses after purity: 0 0.19/0.47 # Propositional unsat core size : 0 0.19/0.47 # Propositional preprocessing time : 0.000 0.19/0.47 # Propositional encoding time : 0.000 0.19/0.47 # Propositional solver time : 0.000 0.19/0.47 # Success case prop preproc time : 0.000 0.19/0.47 # Success case prop encoding time : 0.000 0.19/0.47 # Success case prop solver time : 0.000 0.19/0.47 # Current number of processed clauses : 6 0.19/0.47 # Positive orientable unit clauses : 6 0.19/0.47 # Positive unorientable unit clauses: 0 0.19/0.47 # Negative unit clauses : 0 0.19/0.47 # Non-unit-clauses : 0 0.19/0.47 # Current number of unprocessed clauses: 8 0.19/0.47 # ...number of literals in the above : 8 0.19/0.47 # Current number of archived formulas : 0 0.19/0.47 # Current number of archived clauses : 8 0.19/0.47 # Clause-clause subsumption calls (NU) : 0 0.19/0.47 # Rec. Clause-clause subsumption calls : 0 0.19/0.47 # Non-unit clause-clause subsumptions : 0 0.19/0.47 # Unit Clause-clause subsumption calls : 0 0.19/0.47 # Rewrite failures with RHS unbound : 0 0.19/0.47 # BW rewrite match attempts : 3 0.19/0.47 # BW rewrite match successes : 3 0.19/0.47 # Condensation attempts : 0 0.19/0.47 # Condensation successes : 0 0.19/0.47 # Termbank termtop insertions : 874 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.004 s 0.19/0.47 # System time : 0.002 s 0.19/0.47 # Total time : 0.006 s 0.19/0.47 # Maximum resident set size: 1804 pages 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.013 s 0.19/0.47 # System time : 0.005 s 0.19/0.47 # Total time : 0.018 s 0.19/0.47 # Maximum resident set size: 1728 pages 0.19/0.47 EOF