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 0.12/0.33 % Computer : n017.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 : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:09:15 EDT 2022 0.12/0.33 % CPUTime : 0.19/0.45 Running higher-order on 8 cores theorem proving 0.19/0.45 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 0.19/0.46 # Preprocessing class: HSSSSMSSMLSNHSN. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_9 with 600s (5) cores 0.19/0.46 # Starting post_as_ho1 with 120s (1) cores 0.19/0.46 # Starting sh1l with 120s (1) cores 0.19/0.46 # Starting post_as_ho10 with 120s (1) cores 0.19/0.46 # post_as_ho1 with pid 27271 completed with status 0 0.19/0.46 # Result found by post_as_ho1 0.19/0.46 # Preprocessing class: HSSSSMSSMLSNHSN. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_9 with 600s (5) cores 0.19/0.46 # Starting post_as_ho1 with 120s (1) cores 0.19/0.46 # No SInE strategy applied 0.19/0.46 # Search class: HHHPS-FFSF31-SHSSMSNN 0.19/0.46 # partial match(3): HHHNS-FFSF11-SHSSMFNN 0.19/0.46 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.46 # Starting new_ho_10 with 65s (1) cores 0.19/0.46 # new_ho_10 with pid 27276 completed with status 0 0.19/0.46 # Result found by new_ho_10 0.19/0.46 # Preprocessing class: HSSSSMSSMLSNHSN. 0.19/0.46 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.46 # Starting new_ho_9 with 600s (5) cores 0.19/0.46 # Starting post_as_ho1 with 120s (1) cores 0.19/0.46 # No SInE strategy applied 0.19/0.46 # Search class: HHHPS-FFSF31-SHSSMSNN 0.19/0.46 # partial match(3): HHHNS-FFSF11-SHSSMFNN 0.19/0.46 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.46 # Starting new_ho_10 with 65s (1) cores 0.19/0.46 # Preprocessing time : 0.001 s 0.19/0.46 # Presaturation interreduction done 0.19/0.46 0.19/0.46 # Proof found! 0.19/0.46 # SZS status Theorem 0.19/0.46 # SZS output start CNFRefutation 0.19/0.46 thf(decl_22, type, fun_image: ($i > $i) > ($i > $o) > $i > $o). 0.19/0.46 thf(decl_23, type, fun_composition: ($i > $i) > ($i > $i) > $i > $i). 0.19/0.46 thf(decl_24, type, fun_inv_image: ($i > $i) > ($i > $o) > $i > $o). 0.19/0.46 thf(decl_25, type, fun_injective: ($i > $i) > $o). 0.19/0.46 thf(decl_26, type, fun_surjective: ($i > $i) > $o). 0.19/0.46 thf(decl_27, type, fun_bijective: ($i > $i) > $o). 0.19/0.46 thf(decl_28, type, fun_decreasing: ($i > $i) > ($i > $i > $o) > $o). 0.19/0.46 thf(decl_29, type, fun_increasing: ($i > $i) > ($i > $i > $o) > $o). 0.19/0.46 thf(decl_30, type, esk1_0: $i > $i). 0.19/0.46 thf(decl_31, type, esk2_0: $i > $i). 0.19/0.46 thf(decl_32, type, esk3_0: $i > $i). 0.19/0.46 thf(decl_33, type, esk4_1: $i > $i). 0.19/0.46 thf(decl_34, type, esk5_1: $i > $i). 0.19/0.46 thf(decl_35, type, esk6_0: $i). 0.19/0.46 thf(decl_36, type, esk7_0: $i). 0.19/0.46 thf(decl_37, type, esk8_0: $i). 0.19/0.46 thf(fun_bijective, axiom, ((fun_bijective)=(^[X1:$i > $i]:(((fun_injective @ X1)&(fun_surjective @ X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET008^1.ax', fun_bijective)). 0.19/0.46 thf(fun_injective, axiom, ((fun_injective)=(^[X1:$i > $i]:(![X4:$i, X3:$i]:((((X1 @ X4)=(X1 @ X3))=>((X4)=(X3))))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET008^1.ax', fun_injective)). 0.19/0.46 thf(fun_surjective, axiom, ((fun_surjective)=(^[X1:$i > $i]:(![X3:$i]:(?[X4:$i]:(((X3)=(X1 @ X4))))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET008^1.ax', fun_surjective)). 0.19/0.46 thf(thm, conjecture, ![X1:$i > $i, X5:$i > $i, X8:$i > $i]:(((((fun_injective @ (fun_composition @ (fun_composition @ X1 @ X5) @ X8))&(fun_surjective @ (fun_composition @ (fun_composition @ X5 @ X8) @ X1)))&(fun_surjective @ (fun_composition @ (fun_composition @ X8 @ X1) @ X5)))=>(fun_bijective @ X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)). 0.19/0.46 thf(fun_composition, axiom, ((fun_composition)=(^[X1:$i > $i, X5:$i > $i, X4:$i]:(X5 @ (X1 @ X4)))), file('/export/starexec/sandbox2/benchmark/Axioms/SET008^1.ax', fun_composition)). 0.19/0.46 thf(c_0_5, plain, ((fun_bijective)=(^[Z0:$i > $i]:(((![X12:$i, X13:$i]:((((Z0 @ X12)=(Z0 @ X13))=>((X12)=(X13)))))&(![X14:$i]:(?[X15:$i]:(((X14)=(Z0 @ X15))))))))), inference(fof_simplification,[status(thm)],[fun_bijective])). 0.19/0.46 thf(c_0_6, plain, ((fun_injective)=(^[Z0:$i > $i]:(![X4:$i, X3:$i]:((((Z0 @ X4)=(Z0 @ X3))=>((X4)=(X3))))))), inference(fof_simplification,[status(thm)],[fun_injective])). 0.19/0.46 thf(c_0_7, plain, ((fun_surjective)=(^[Z0:$i > $i]:(![X3:$i]:(?[X4:$i]:(((X3)=(Z0 @ X4))))))), inference(fof_simplification,[status(thm)],[fun_surjective])). 0.19/0.46 thf(c_0_8, plain, ((fun_bijective)=(^[Z0:$i > $i]:(((![X12:$i, X13:$i]:((((Z0 @ X12)=(Z0 @ X13))=>((X12)=(X13)))))&(![X14:$i]:(?[X15:$i]:(((X14)=(Z0 @ X15))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_6]), c_0_7])). 0.19/0.46 thf(c_0_9, negated_conjecture, ~(![X1:$i > $i, X5:$i > $i, X8:$i > $i]:((((![X16:$i, X17:$i]:((((fun_composition @ (fun_composition @ X1 @ X5) @ X8 @ X16)=(fun_composition @ (fun_composition @ X1 @ X5) @ X8 @ X17))=>((X16)=(X17))))&![X18:$i]:(?[X19:$i]:(((X18)=(fun_composition @ (fun_composition @ X5 @ X8) @ X1 @ X19)))))&![X20:$i]:(?[X21:$i]:(((X20)=(fun_composition @ (fun_composition @ X8 @ X1) @ X5 @ X21)))))=>(![X22:$i, X23:$i]:((((X8 @ X22)=(X8 @ X23))=>((X22)=(X23))))&![X24:$i]:(?[X25:$i]:(((X24)=(X8 @ X25)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_6]), c_0_7]), c_0_8])). 0.19/0.46 thf(c_0_10, plain, ![X26:$i > $i, X27:$i > $i, X28:$i]:(((fun_composition @ X26 @ X27 @ X28)=(X27 @ (X26 @ X28)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fun_composition])])). 0.19/0.46 thf(c_0_11, negated_conjecture, ![X35:$i, X36:$i, X37:$i, X39:$i, X44:$i]:(((((((fun_composition @ (fun_composition @ esk1_0 @ esk2_0) @ esk3_0 @ X35)!=(fun_composition @ (fun_composition @ esk1_0 @ esk2_0) @ esk3_0 @ X36))|((X35)=(X36)))&((X37)=(fun_composition @ (fun_composition @ esk2_0 @ esk3_0) @ esk1_0 @ (esk4_1 @ X37))))&((X39)=(fun_composition @ (fun_composition @ esk3_0 @ esk1_0) @ esk2_0 @ (esk5_1 @ X39))))&((((esk3_0 @ esk6_0)=(esk3_0 @ esk7_0))|((esk8_0)!=(esk3_0 @ X44)))&(((esk6_0)!=(esk7_0))|((esk8_0)!=(esk3_0 @ X44)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])). 0.19/0.46 thf(c_0_12, plain, ![X29:$i > $i, X30:$i > $i, X31:$i]:(((fun_composition @ X29 @ X30 @ X31)=(X30 @ (X29 @ X31)))), inference(variable_rename,[status(thm)],[c_0_10])). 0.19/0.46 thf(c_0_13, negated_conjecture, ![X3:$i, X4:$i]:((((X3)=(X4))|((fun_composition @ (fun_composition @ esk1_0 @ esk2_0) @ esk3_0 @ X3)!=(fun_composition @ (fun_composition @ esk1_0 @ esk2_0) @ esk3_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.46 thf(c_0_14, plain, ![X1:$i > $i, X5:$i > $i, X3:$i]:(((fun_composition @ X1 @ X5 @ X3)=(X5 @ (X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.19/0.46 thf(c_0_15, negated_conjecture, ![X3:$i]:(((X3)=(fun_composition @ (fun_composition @ esk3_0 @ esk1_0) @ esk2_0 @ (esk5_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.46 thf(c_0_16, negated_conjecture, ![X3:$i, X4:$i]:((((X3)=(X4))|((esk3_0 @ (esk2_0 @ (esk1_0 @ X3)))!=(esk3_0 @ (esk2_0 @ (esk1_0 @ X4)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_14]), c_0_14]), c_0_14])). 0.19/0.46 thf(c_0_17, negated_conjecture, ![X3:$i]:(((esk2_0 @ (esk1_0 @ (esk3_0 @ (esk5_1 @ X3))))=(X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_14]), c_0_14])). 0.19/0.46 thf(c_0_18, negated_conjecture, ![X3:$i, X4:$i]:((((X3)=(esk3_0 @ (esk5_1 @ X4)))|((esk3_0 @ (esk2_0 @ (esk1_0 @ X3)))!=(esk3_0 @ X4)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.19/0.46 thf(c_0_19, negated_conjecture, ![X3:$i]:((((esk3_0 @ esk6_0)=(esk3_0 @ esk7_0))|((esk8_0)!=(esk3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.46 thf(c_0_20, negated_conjecture, ![X3:$i]:(((esk3_0 @ (esk5_1 @ (esk2_0 @ (esk1_0 @ X3))))=(X3))), inference(er,[status(thm)],[c_0_18])). 0.19/0.46 thf(c_0_21, negated_conjecture, ![X3:$i, X4:$i]:((((esk3_0 @ (esk5_1 @ X3))=(esk3_0 @ (esk5_1 @ X4)))|((esk3_0 @ X3)!=(esk3_0 @ X4)))), inference(spm,[status(thm)],[c_0_18, c_0_17])). 0.19/0.46 thf(c_0_22, negated_conjecture, ((esk3_0 @ esk6_0)=(esk3_0 @ esk7_0)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20])])). 0.19/0.46 thf(c_0_23, negated_conjecture, ![X3:$i]:((((esk3_0 @ (esk5_1 @ X3))=(esk3_0 @ (esk5_1 @ esk6_0)))|((esk3_0 @ X3)!=(esk3_0 @ esk7_0)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.19/0.46 thf(c_0_24, negated_conjecture, ![X3:$i]:((((esk6_0)!=(esk7_0))|((esk8_0)!=(esk3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.46 thf(c_0_25, negated_conjecture, ![X3:$i]:((((X3)=(esk6_0))|((esk3_0 @ X3)!=(esk3_0 @ esk7_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_23]), c_0_17])). 0.19/0.46 thf(c_0_26, negated_conjecture, ((esk6_0)!=(esk7_0)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_20])])). 0.19/0.46 thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_25]), c_0_26]), ['proof']). 0.19/0.46 # SZS output end CNFRefutation 0.19/0.46 # Parsed axioms : 17 0.19/0.46 # Removed by relevancy pruning/SinE : 0 0.19/0.46 # Initial clauses : 14 0.19/0.46 # Removed in clause preprocessing : 8 0.19/0.46 # Initial clauses in saturation : 6 0.19/0.46 # Processed clauses : 35 0.19/0.46 # ...of these trivial : 1 0.19/0.46 # ...subsumed : 7 0.19/0.46 # ...remaining for further processing : 27 0.19/0.46 # Other redundant clauses eliminated : 12 0.19/0.46 # Clauses deleted for lack of memory : 0 0.19/0.46 # Backward-subsumed : 1 0.19/0.46 # Backward-rewritten : 5 0.19/0.46 # Generated clauses : 71 0.19/0.46 # ...of the previous two non-redundant : 52 0.19/0.46 # ...aggressively subsumed : 0 0.19/0.46 # Contextual simplify-reflections : 0 0.19/0.46 # Paramodulations : 52 0.19/0.46 # Factorizations : 0 0.19/0.46 # NegExts : 0 0.19/0.46 # Equation resolutions : 19 0.19/0.46 # Propositional unsat checks : 0 0.19/0.46 # Propositional check models : 0 0.19/0.46 # Propositional check unsatisfiable : 0 0.19/0.46 # Propositional clauses : 0 0.19/0.46 # Propositional clauses after purity: 0 0.19/0.46 # Propositional unsat core size : 0 0.19/0.46 # Propositional preprocessing time : 0.000 0.19/0.46 # Propositional encoding time : 0.000 0.19/0.46 # Propositional solver time : 0.000 0.19/0.46 # Success case prop preproc time : 0.000 0.19/0.46 # Success case prop encoding time : 0.000 0.19/0.46 # Success case prop solver time : 0.000 0.19/0.46 # Current number of processed clauses : 15 0.19/0.46 # Positive orientable unit clauses : 6 0.19/0.46 # Positive unorientable unit clauses: 0 0.19/0.46 # Negative unit clauses : 1 0.19/0.46 # Non-unit-clauses : 8 0.19/0.46 # Current number of unprocessed clauses: 27 0.19/0.46 # ...number of literals in the above : 54 0.19/0.46 # Current number of archived formulas : 0 0.19/0.46 # Current number of archived clauses : 12 0.19/0.46 # Clause-clause subsumption calls (NU) : 10 0.19/0.46 # Rec. Clause-clause subsumption calls : 10 0.19/0.46 # Non-unit clause-clause subsumptions : 7 0.19/0.46 # Unit Clause-clause subsumption calls : 1 0.19/0.46 # Rewrite failures with RHS unbound : 0 0.19/0.46 # BW rewrite match attempts : 11 0.19/0.46 # BW rewrite match successes : 6 0.19/0.46 # Condensation attempts : 35 0.19/0.46 # Condensation successes : 0 0.19/0.46 # Termbank termtop insertions : 1843 0.19/0.46 0.19/0.46 # ------------------------------------------------- 0.19/0.46 # User time : 0.002 s 0.19/0.46 # System time : 0.004 s 0.19/0.46 # Total time : 0.006 s 0.19/0.46 # Maximum resident set size: 1884 pages 0.19/0.46 0.19/0.46 # ------------------------------------------------- 0.19/0.46 # User time : 0.002 s 0.19/0.46 # System time : 0.006 s 0.19/0.46 # Total time : 0.008 s 0.19/0.46 # Maximum resident set size: 1748 pages 0.19/0.46 EOF