0.05/0.10 % Problem : Vampire---4.8_20693 : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n019.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Mon Jul 3 12:54:34 EDT 2023 0.10/0.31 % CPUTime : 0.15/0.41 Running higher-order theorem provingRunning: /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.zg4kfc3l0b/Vampire---4.8_20693 0.15/0.41 # Version: 3.1pre001-ho 0.15/0.42 # Preprocessing class: HSMSSMSSSSSNSFA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.42 # Starting new_ho_14 with 720s (4) cores 0.15/0.42 # Starting new_ho_13 with 360s (2) cores 0.15/0.42 # Starting new_ho_10_cnf2 with 180s (1) cores 0.15/0.42 # Starting new_bool_3 with 180s (1) cores 0.15/0.42 # new_ho_14 with pid 20874 completed with status 0 0.15/0.42 # Result found by new_ho_14 0.15/0.42 # Preprocessing class: HSMSSMSSSSSNSFA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.42 # Starting new_ho_14 with 720s (4) cores 0.15/0.42 # SinE strategy is gf500_gu_R04_F100_L20000 0.15/0.42 # Search class: HGHSS-FFSF21-MSFFFSBN 0.15/0.42 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.15/0.42 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.15/0.42 # Starting post_as_ho12 with 324s (1) cores 0.15/0.42 # Starting new_ho_14 with 73s (1) cores 0.15/0.42 # Starting sh5l with 81s (1) cores 0.15/0.42 # Starting sh2lt with 81s (1) cores 0.15/0.42 # sh5l with pid 20881 completed with status 0 0.15/0.42 # Result found by sh5l 0.15/0.42 # Preprocessing class: HSMSSMSSSSSNSFA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.42 # Starting new_ho_14 with 720s (4) cores 0.15/0.42 # SinE strategy is gf500_gu_R04_F100_L20000 0.15/0.42 # Search class: HGHSS-FFSF21-MSFFFSBN 0.15/0.42 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.15/0.42 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.15/0.42 # Starting post_as_ho12 with 324s (1) cores 0.15/0.42 # Starting new_ho_14 with 73s (1) cores 0.15/0.42 # Starting sh5l with 81s (1) cores 0.15/0.42 # Preprocessing time : 0.001 s 0.15/0.42 # Presaturation interreduction done 0.15/0.42 0.15/0.42 # Proof found! 0.15/0.42 # SZS status Theorem 0.15/0.42 # SZS output start CNFRefutation 0.15/0.42 thf(decl_22, type, x: nat). 0.15/0.42 thf(decl_23, type, y: nat). 0.15/0.42 thf(decl_24, type, z: nat). 0.15/0.42 thf(decl_25, type, pl: nat > nat > nat). 0.15/0.42 thf(decl_26, type, esti: nat > set > $o). 0.15/0.42 thf(decl_27, type, setof: (nat > $o) > set). 0.15/0.42 thf(decl_28, type, n_1: nat). 0.15/0.42 thf(decl_29, type, suc: nat > nat). 0.15/0.42 thf(decl_30, type, esk1_1: set > nat). 0.15/0.42 thf(ax5, axiom, ![X1:set]:(((![X2:nat]:(((esti @ (suc @ X2) @ X1)<=(esti @ X2 @ X1)))=>![X2:nat]:((esti @ X2 @ X1)))<=(esti @ n_1 @ X1))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', ax5)). 0.15/0.42 thf(estii, axiom, ![X3:nat > $o, X4:nat]:(((esti @ X4 @ (setof @ X3))<=(X3 @ X4))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', estii)). 0.15/0.42 thf(satz4g, axiom, ![X2:nat]:(((suc @ X2)=(pl @ n_1 @ X2))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', satz4g)). 0.15/0.42 thf(satz8, conjecture, ((pl @ x @ y)!=(pl @ x @ z)), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', satz8)). 0.15/0.42 thf(satz4h, axiom, ![X2:nat, X5:nat]:(((suc @ (pl @ X2 @ X5))=(pl @ (suc @ X2) @ X5))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', satz4h)). 0.15/0.42 thf(estie, axiom, ![X3:nat > $o, X6:nat]:(((esti @ X6 @ (setof @ X3))=>(X3 @ X6))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', estie)). 0.15/0.42 thf(satz1, axiom, ![X2:nat, X5:nat]:((((X2)!=(X5))=>((suc @ X2)!=(suc @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', satz1)). 0.15/0.42 thf(n, axiom, ((y)!=(z)), file('/export/starexec/sandbox/tmp/tmp.zg4kfc3l0b/Vampire---4.8_20693', n)). 0.15/0.42 thf(c_0_8, plain, ![X1:set]:(((esti @ n_1 @ X1)=>(![X2:nat]:(((esti @ X2 @ X1)=>(esti @ (suc @ X2) @ X1)))=>![X2:nat]:((esti @ X2 @ X1))))), inference(fof_simplification,[status(thm)],[ax5])). 0.15/0.42 thf(c_0_9, plain, ![X3:nat > $o, X4:nat]:(((X3 @ X4)=>(esti @ X4 @ (setof @ X3)))), inference(fof_simplification,[status(thm)],[estii])). 0.15/0.42 thf(c_0_10, plain, ![X22:set, X24:nat]:((((esti @ (esk1_1 @ X22) @ X22)|(esti @ X24 @ X22)|~(esti @ n_1 @ X22))&(~(esti @ (suc @ (esk1_1 @ X22)) @ X22)|(esti @ X24 @ X22)|~(esti @ n_1 @ X22)))), 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_8])])])])])). 0.15/0.42 thf(c_0_11, plain, ![X19:nat]:(((suc @ X19)=(pl @ n_1 @ X19))), inference(variable_rename,[status(thm)],[satz4g])). 0.15/0.42 thf(c_0_12, plain, ![X27:nat > $o, X28:nat]:((~(X27 @ X28)|(esti @ X28 @ (setof @ X27)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.15/0.42 thf(c_0_13, negated_conjecture, ((pl @ x @ y)=(pl @ x @ z)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz8])])). 0.15/0.42 thf(c_0_14, plain, ![X20:nat, X21:nat]:(((suc @ (pl @ X20 @ X21))=(pl @ (suc @ X20) @ X21))), inference(variable_rename,[status(thm)],[satz4h])). 0.15/0.42 thf(c_0_15, plain, ![X2:nat, X1:set]:(((esti @ X2 @ X1)|~((esti @ (suc @ (esk1_1 @ X1)) @ X1))|~((esti @ n_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.42 thf(c_0_16, plain, ![X2:nat]:(((suc @ X2)=(pl @ n_1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.15/0.42 thf(c_0_17, plain, ![X3:nat > $o, X2:nat]:(((esti @ X2 @ (setof @ X3))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.15/0.42 thf(c_0_18, negated_conjecture, ((pl @ x @ y)=(pl @ x @ z)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.15/0.42 thf(c_0_19, plain, ![X2:nat, X4:nat]:(((suc @ (pl @ X2 @ X4))=(pl @ (suc @ X2) @ X4))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.15/0.42 thf(c_0_20, plain, ![X2:nat, X1:set]:(((esti @ X2 @ X1)|~((esti @ (pl @ n_1 @ (esk1_1 @ X1)) @ X1))|~((esti @ n_1 @ X1)))), inference(rw,[status(thm)],[c_0_15, c_0_16])). 0.15/0.42 thf(c_0_21, plain, ![X2:nat]:(((esti @ X2 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z))))))|((pl @ X2 @ y)=(pl @ X2 @ z)))), inference(trigger,[status((null))],[inference(cn,[status(thm)],[]), c_0_17, c_0_18])). 0.15/0.42 thf(c_0_22, plain, ![X2:nat, X4:nat]:(((pl @ (pl @ n_1 @ X2) @ X4)=(pl @ n_1 @ (pl @ X2 @ X4)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_16])). 0.15/0.42 thf(c_0_23, plain, ![X29:nat > $o, X30:nat]:((~(esti @ X30 @ (setof @ X29))|(X29 @ X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[estie])])). 0.15/0.42 thf(c_0_24, plain, ![X2:nat]:((((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y))=(pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z)))|(esti @ X2 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z))))))|~((esti @ n_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z))))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_22])). 0.15/0.42 thf(c_0_25, plain, ![X25:nat, X26:nat]:((((X25)=(X26))|((suc @ X25)!=(suc @ X26)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[satz1])])). 0.15/0.42 thf(c_0_26, plain, ![X2:nat, X3:nat > $o]:(((X3 @ X2)|~((esti @ X2 @ (setof @ X3))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.15/0.42 thf(c_0_27, plain, ![X2:nat]:((((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y))=(pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z)))|((pl @ n_1 @ y)=(pl @ n_1 @ z))|(esti @ X2 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))))), inference(spm,[status(thm)],[c_0_24, c_0_21])). 0.15/0.42 thf(c_0_28, plain, ![X2:nat, X1:set]:(((esti @ (esk1_1 @ X1) @ X1)|(esti @ X2 @ X1)|~((esti @ n_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.42 thf(c_0_29, plain, ![X2:nat, X4:nat]:((((X2)=(X4))|((suc @ X2)!=(suc @ X4)))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.15/0.42 thf(c_0_30, plain, ![X2:nat]:((((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y))=(pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z)))|((pl @ n_1 @ y)=(pl @ n_1 @ z))|((pl @ X2 @ y)!=(pl @ X2 @ z)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27])])). 0.15/0.42 thf(c_0_31, plain, ![X1:set]:(((esti @ (esk1_1 @ X1) @ X1)|~((esti @ n_1 @ X1)))), inference(condense,[status(thm)],[c_0_28])). 0.15/0.42 thf(c_0_32, plain, ![X2:nat, X4:nat]:((((X2)=(X4))|((pl @ n_1 @ X2)!=(pl @ n_1 @ X4)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_16]), c_0_16])). 0.15/0.42 thf(c_0_33, negated_conjecture, (((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y))=(pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z)))|((pl @ n_1 @ y)=(pl @ n_1 @ z))), inference(spm,[status(thm)],[c_0_30, c_0_18])). 0.15/0.42 thf(c_0_34, plain, ![X3:nat > $o]:(((X3 @ (esk1_1 @ (setof @ X3)))|~((esti @ n_1 @ (setof @ X3))))), inference(spm,[status(thm)],[c_0_26, c_0_31])). 0.15/0.42 thf(c_0_35, negated_conjecture, ![X2:nat]:((((pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y)=(X2))|((pl @ n_1 @ y)=(pl @ n_1 @ z))|((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z))!=(pl @ n_1 @ X2)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.15/0.42 thf(c_0_36, plain, (((pl @ n_1 @ y)=(pl @ n_1 @ z))|((pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y)!=(pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_21])])). 0.15/0.42 thf(c_0_37, negated_conjecture, ((pl @ n_1 @ y)=(pl @ n_1 @ z)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]), c_0_36])). 0.15/0.42 thf(c_0_38, negated_conjecture, ![X2:nat]:((((y)=(X2))|((pl @ n_1 @ z)!=(pl @ n_1 @ X2)))), inference(spm,[status(thm)],[c_0_32, c_0_37])). 0.15/0.42 thf(c_0_39, plain, ((y)!=(z)), inference(split_conjunct,[status(thm)],[n])). 0.15/0.42 thf(c_0_40, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_39]), ['proof']). 0.15/0.42 # SZS output end CNFRefutation 0.15/0.42 # Parsed axioms : 18 0.15/0.42 # Removed by relevancy pruning/SinE : 10 0.15/0.42 # Initial clauses : 9 0.15/0.42 # Removed in clause preprocessing : 0 0.15/0.42 # Initial clauses in saturation : 13 0.15/0.42 # Processed clauses : 48 0.15/0.42 # ...of these trivial : 0 0.15/0.42 # ...subsumed : 2 0.15/0.42 # ...remaining for further processing : 46 0.15/0.42 # Other redundant clauses eliminated : 0 0.15/0.42 # Clauses deleted for lack of memory : 0 0.15/0.42 # Backward-subsumed : 4 0.15/0.42 # Backward-rewritten : 8 0.15/0.42 # Generated clauses : 58 0.15/0.42 # ...of the previous two non-redundant : 51 0.15/0.42 # ...aggressively subsumed : 0 0.15/0.42 # Contextual simplify-reflections : 1 0.15/0.42 # Paramodulations : 53 0.15/0.42 # Factorizations : 0 0.15/0.42 # NegExts : 0 0.15/0.42 # Equation resolutions : 3 0.15/0.42 # Total rewrite steps : 28 0.15/0.42 # Propositional unsat checks : 0 0.15/0.42 # Propositional check models : 0 0.15/0.42 # Propositional check unsatisfiable : 0 0.15/0.42 # Propositional clauses : 0 0.15/0.42 # Propositional clauses after purity: 0 0.15/0.42 # Propositional unsat core size : 0 0.15/0.42 # Propositional preprocessing time : 0.000 0.15/0.42 # Propositional encoding time : 0.000 0.15/0.42 # Propositional solver time : 0.000 0.15/0.42 # Success case prop preproc time : 0.000 0.15/0.42 # Success case prop encoding time : 0.000 0.15/0.42 # Success case prop solver time : 0.000 0.15/0.42 # Current number of processed clauses : 21 0.15/0.42 # Positive orientable unit clauses : 5 0.15/0.42 # Positive unorientable unit clauses: 0 0.15/0.42 # Negative unit clauses : 1 0.15/0.42 # Non-unit-clauses : 15 0.15/0.42 # Current number of unprocessed clauses: 29 0.15/0.42 # ...number of literals in the above : 82 0.15/0.42 # Current number of archived formulas : 0 0.15/0.42 # Current number of archived clauses : 25 0.15/0.42 # Clause-clause subsumption calls (NU) : 199 0.15/0.42 # Rec. Clause-clause subsumption calls : 189 0.15/0.42 # Non-unit clause-clause subsumptions : 8 0.15/0.42 # Unit Clause-clause subsumption calls : 4 0.15/0.42 # Rewrite failures with RHS unbound : 0 0.15/0.42 # BW rewrite match attempts : 1 0.15/0.42 # BW rewrite match successes : 1 0.15/0.42 # Condensation attempts : 48 0.15/0.42 # Condensation successes : 1 0.15/0.42 # Termbank termtop insertions : 3935 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.007 s 0.15/0.42 # System time : 0.002 s 0.15/0.42 # Total time : 0.009 s 0.15/0.42 # Maximum resident set size: 1912 pages 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.025 s 0.15/0.42 # System time : 0.008 s 0.15/0.42 # Total time : 0.033 s 0.15/0.42 # Maximum resident set size: 1732 pages 0.15/0.42 % E---3.1 exiting 0.15/0.42 EOF