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 0.12/0.34 % Computer : n001.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 10:04:39 EDT 2024 0.12/0.34 % CPUTime : 0.21/0.48 Running higher-order theorem proving 0.21/0.49 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.zhSHQmPI3O/E---3.1_3098.p 0.21/0.51 # Version: 3.2.0-ho 0.21/0.51 # Preprocessing class: HSMSSMSSSSSNSFA. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_14 with 720s (4) cores 0.21/0.51 # Starting new_ho_13 with 360s (2) cores 0.21/0.51 # Starting new_ho_10_cnf2 with 180s (1) cores 0.21/0.51 # Starting new_bool_3 with 180s (1) cores 0.21/0.51 # new_ho_14 with pid 3176 completed with status 0 0.21/0.51 # Result found by new_ho_14 0.21/0.51 # Preprocessing class: HSMSSMSSSSSNSFA. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_14 with 720s (4) cores 0.21/0.51 # SinE strategy is gf500_gu_R04_F100_L20000 0.21/0.51 # Search class: HGHSS-FFSF21-MSFFFSBN 0.21/0.51 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.21/0.51 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.21/0.51 # Starting post_as_ho12 with 324s (1) cores 0.21/0.51 # Starting new_ho_14 with 73s (1) cores 0.21/0.51 # Starting sh5l with 81s (1) cores 0.21/0.51 # Starting sh2lt with 81s (1) cores 0.21/0.51 # sh5l with pid 3182 completed with status 0 0.21/0.51 # Result found by sh5l 0.21/0.51 # Preprocessing class: HSMSSMSSSSSNSFA. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.51 # Starting new_ho_14 with 720s (4) cores 0.21/0.51 # SinE strategy is gf500_gu_R04_F100_L20000 0.21/0.51 # Search class: HGHSS-FFSF21-MSFFFSBN 0.21/0.51 # partial match(2): HGHSS-FFSF21-MSSFFMBN 0.21/0.51 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.21/0.51 # Starting post_as_ho12 with 324s (1) cores 0.21/0.51 # Starting new_ho_14 with 73s (1) cores 0.21/0.51 # Starting sh5l with 81s (1) cores 0.21/0.51 # Preprocessing time : 0.001 s 0.21/0.51 # Presaturation interreduction done 0.21/0.51 0.21/0.51 # Proof found! 0.21/0.51 # SZS status Theorem 0.21/0.51 # SZS output start CNFRefutation 0.21/0.51 thf(decl_sort1, type, nat: $tType). 0.21/0.51 thf(decl_sort2, type, set: $tType). 0.21/0.51 thf(decl_22, type, x: nat). 0.21/0.51 thf(decl_23, type, y: nat). 0.21/0.51 thf(decl_24, type, z: nat). 0.21/0.51 thf(decl_25, type, pl: nat > nat > nat). 0.21/0.51 thf(decl_26, type, esti: nat > set > $o). 0.21/0.51 thf(decl_27, type, setof: (nat > $o) > set). 0.21/0.51 thf(decl_28, type, n_1: nat). 0.21/0.51 thf(decl_29, type, suc: nat > nat). 0.21/0.51 thf(decl_30, type, esk1_1: set > nat). 0.21/0.51 thf(ax5, axiom, ![X3:set]:(((esti @ n_1 @ X3)=>(![X1:nat]:((esti @ X1 @ X3))<=![X1:nat]:(((esti @ (suc @ X1) @ X3)<=(esti @ X1 @ X3)))))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', ax5)). 0.21/0.51 thf(satz4g, axiom, ![X1:nat]:(((suc @ X1)=(pl @ n_1 @ X1))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', satz4g)). 0.21/0.51 thf(estii, axiom, ![X4:nat > $o, X6:nat]:(((X4 @ X6)=>(esti @ X6 @ (setof @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', estii)). 0.21/0.51 thf(satz8, conjecture, ((pl @ x @ y)!=(pl @ x @ z)), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', satz8)). 0.21/0.51 thf(satz4h, axiom, ![X1:nat, X2:nat]:(((suc @ (pl @ X1 @ X2))=(pl @ (suc @ X1) @ X2))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', satz4h)). 0.21/0.51 thf(estie, axiom, ![X4:nat > $o, X5:nat]:(((X4 @ X5)<=(esti @ X5 @ (setof @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', estie)). 0.21/0.51 thf(satz1, axiom, ![X1:nat, X2:nat]:((((suc @ X1)!=(suc @ X2))<=((X1)!=(X2)))), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', satz1)). 0.21/0.51 thf(n, axiom, ((y)!=(z)), file('/export/starexec/sandbox/tmp/tmp.zhSHQmPI3O/E---3.1_3098.p', n)). 0.21/0.51 thf(c_0_8, plain, ![X3:set]:(((esti @ n_1 @ X3)=>(![X1:nat]:(((esti @ X1 @ X3)=>(esti @ (suc @ X1) @ X3)))=>![X1:nat]:((esti @ X1 @ X3))))), inference(fof_simplification,[status(thm)],[ax5])). 0.21/0.51 thf(c_0_9, 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(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_8])])])])])])). 0.21/0.51 thf(c_0_10, plain, ![X21:nat]:(((suc @ X21)=(pl @ n_1 @ X21))), inference(variable_rename,[status(thm)],[satz4g])). 0.21/0.51 thf(c_0_11, plain, ![X29:nat > $o, X30:nat]:((~(X29 @ X30)|(esti @ X30 @ (setof @ X29)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[estii])])])). 0.21/0.51 thf(c_0_12, negated_conjecture, ((pl @ x @ y)=(pl @ x @ z)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz8])])). 0.21/0.51 thf(c_0_13, plain, ![X19:nat, X20:nat]:(((suc @ (pl @ X19 @ X20))=(pl @ (suc @ X19) @ X20))), inference(variable_rename,[status(thm)],[satz4h])). 0.21/0.51 thf(c_0_14, plain, ![X1:nat, X3:set]:(((esti @ X1 @ X3)|~((esti @ (suc @ (esk1_1 @ X3)) @ X3))|~((esti @ n_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.21/0.51 thf(c_0_15, plain, ![X1:nat]:(((suc @ X1)=(pl @ n_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.21/0.51 thf(c_0_16, plain, ![X4:nat > $o, X1:nat]:(((esti @ X1 @ (setof @ X4))|~((X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.21/0.51 thf(c_0_17, negated_conjecture, ((pl @ x @ y)=(pl @ x @ z)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.21/0.51 thf(c_0_18, plain, ![X1:nat, X2:nat]:(((suc @ (pl @ X1 @ X2))=(pl @ (suc @ X1) @ X2))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.51 thf(c_0_19, plain, ![X4:nat > $o, X5:nat]:(((esti @ X5 @ (setof @ X4))=>(X4 @ X5))), inference(fof_simplification,[status(thm)],[estie])). 0.21/0.51 thf(c_0_20, plain, ![X1:nat, X3:set]:(((esti @ X1 @ X3)|~((esti @ (pl @ n_1 @ (esk1_1 @ X3)) @ X3))|~((esti @ n_1 @ X3)))), inference(rw,[status(thm)],[c_0_14, c_0_15])). 0.21/0.51 thf(c_0_21, plain, ![X1:nat]:(((esti @ X1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z))))))|((pl @ X1 @ y)=(pl @ X1 @ z)))), inference(trigger,[status(thm)],[inference(cn,[status(thm)],[]), c_0_16, c_0_17])). 0.21/0.51 thf(c_0_22, plain, ![X1:nat, X2:nat]:(((pl @ (pl @ n_1 @ X1) @ X2)=(pl @ n_1 @ (pl @ X1 @ X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_15]), c_0_15])). 0.21/0.51 thf(c_0_23, plain, ![X1:nat, X2:nat]:((((X1)!=(X2))=>((suc @ X1)!=(suc @ X2)))), inference(fof_simplification,[status(thm)],[satz1])). 0.21/0.51 thf(c_0_24, plain, ![X27:nat > $o, X28:nat]:((~(esti @ X28 @ (setof @ X27))|(X27 @ X28))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])). 0.21/0.51 thf(c_0_25, plain, ![X1: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 @ X1 @ (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])). 0.21/0.51 thf(c_0_26, plain, ![X25:nat, X26:nat]:((((X25)=(X26))|((suc @ X25)!=(suc @ X26)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])). 0.21/0.51 thf(c_0_27, plain, ![X1:nat, X4:nat > $o]:(((X4 @ X1)|~((esti @ X1 @ (setof @ X4))))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.21/0.51 thf(c_0_28, plain, ![X1: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 @ X1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))))), inference(spm,[status(thm)],[c_0_25, c_0_21])). 0.21/0.51 thf(c_0_29, plain, ![X1:nat, X3:set]:(((esti @ (esk1_1 @ X3) @ X3)|(esti @ X1 @ X3)|~((esti @ n_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.21/0.51 thf(c_0_30, plain, ![X1:nat, X2:nat]:((((X1)=(X2))|((suc @ X1)!=(suc @ X2)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.21/0.51 thf(c_0_31, plain, ![X1: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 @ X1 @ y)!=(pl @ X1 @ z)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])])). 0.21/0.51 thf(c_0_32, plain, ![X3:set]:(((esti @ (esk1_1 @ X3) @ X3)|~((esti @ n_1 @ X3)))), inference(condense,[status(thm)],[c_0_29])). 0.21/0.51 thf(c_0_33, plain, ![X1:nat, X2:nat]:((((X1)=(X2))|((pl @ n_1 @ X1)!=(pl @ n_1 @ X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_15]), c_0_15])). 0.21/0.51 thf(c_0_34, 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_31, c_0_17])). 0.21/0.51 thf(c_0_35, plain, ![X4:nat > $o]:(((X4 @ (esk1_1 @ (setof @ X4)))|~((esti @ n_1 @ (setof @ X4))))), inference(spm,[status(thm)],[c_0_27, c_0_32])). 0.21/0.51 thf(c_0_36, negated_conjecture, ![X1:nat]:((((pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y)=(X1))|((pl @ n_1 @ y)=(pl @ n_1 @ z))|((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z))!=(pl @ n_1 @ X1)))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.21/0.51 thf(c_0_37, plain, (((pl @ n_1 @ y)=(pl @ n_1 @ z))|((pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ y)!=(pl @ (esk1_1 @ (setof @ (^[Z0/* 4 */:nat]:(((pl @ Z0 @ y)!=(pl @ Z0 @ z)))))) @ z))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_21])])). 0.21/0.51 thf(c_0_38, plain, ((y)!=(z)), inference(fof_simplification,[status(thm)],[n])). 0.21/0.51 thf(c_0_39, negated_conjecture, ((pl @ n_1 @ y)=(pl @ n_1 @ z)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]), c_0_37])). 0.21/0.51 thf(c_0_40, plain, ((y)!=(z)), inference(fof_nnf,[status(thm)],[c_0_38])). 0.21/0.51 thf(c_0_41, negated_conjecture, ![X1:nat]:((((y)=(X1))|((pl @ n_1 @ z)!=(pl @ n_1 @ X1)))), inference(spm,[status(thm)],[c_0_33, c_0_39])). 0.21/0.51 thf(c_0_42, plain, ((y)!=(z)), inference(split_conjunct,[status(thm)],[c_0_40])). 0.21/0.51 thf(c_0_43, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_41]), c_0_42]), ['proof']). 0.21/0.51 # SZS output end CNFRefutation 0.21/0.51 # Parsed axioms : 18 0.21/0.51 # Removed by relevancy pruning/SinE : 10 0.21/0.51 # Initial clauses : 9 0.21/0.51 # Removed in clause preprocessing : 0 0.21/0.51 # Initial clauses in saturation : 13 0.21/0.51 # Processed clauses : 48 0.21/0.51 # ...of these trivial : 0 0.21/0.51 # ...subsumed : 2 0.21/0.51 # ...remaining for further processing : 46 0.21/0.51 # Other redundant clauses eliminated : 0 0.21/0.51 # Clauses deleted for lack of memory : 0 0.21/0.51 # Backward-subsumed : 4 0.21/0.51 # Backward-rewritten : 8 0.21/0.51 # Generated clauses : 58 0.21/0.51 # ...of the previous two non-redundant : 51 0.21/0.51 # ...aggressively subsumed : 0 0.21/0.51 # Contextual simplify-reflections : 1 0.21/0.51 # Paramodulations : 53 0.21/0.51 # Factorizations : 0 0.21/0.51 # NegExts : 0 0.21/0.51 # Equation resolutions : 3 0.21/0.51 # Disequality decompositions : 0 0.21/0.51 # Total rewrite steps : 28 0.21/0.51 # ...of those cached : 14 0.21/0.51 # Propositional unsat checks : 0 0.21/0.51 # Propositional check models : 0 0.21/0.51 # Propositional check unsatisfiable : 0 0.21/0.51 # Propositional clauses : 0 0.21/0.51 # Propositional clauses after purity: 0 0.21/0.51 # Propositional unsat core size : 0 0.21/0.51 # Propositional preprocessing time : 0.000 0.21/0.51 # Propositional encoding time : 0.000 0.21/0.51 # Propositional solver time : 0.000 0.21/0.51 # Success case prop preproc time : 0.000 0.21/0.51 # Success case prop encoding time : 0.000 0.21/0.51 # Success case prop solver time : 0.000 0.21/0.51 # Current number of processed clauses : 21 0.21/0.51 # Positive orientable unit clauses : 5 0.21/0.51 # Positive unorientable unit clauses: 0 0.21/0.51 # Negative unit clauses : 1 0.21/0.51 # Non-unit-clauses : 15 0.21/0.51 # Current number of unprocessed clauses: 29 0.21/0.51 # ...number of literals in the above : 82 0.21/0.51 # Current number of archived formulas : 0 0.21/0.51 # Current number of archived clauses : 25 0.21/0.51 # Clause-clause subsumption calls (NU) : 199 0.21/0.51 # Rec. Clause-clause subsumption calls : 189 0.21/0.51 # Non-unit clause-clause subsumptions : 8 0.21/0.51 # Unit Clause-clause subsumption calls : 4 0.21/0.51 # Rewrite failures with RHS unbound : 0 0.21/0.51 # BW rewrite match attempts : 1 0.21/0.51 # BW rewrite match successes : 1 0.21/0.51 # Condensation attempts : 48 0.21/0.51 # Condensation successes : 1 0.21/0.51 # Termbank termtop insertions : 4015 0.21/0.51 # Search garbage collected termcells : 160 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.008 s 0.21/0.51 # System time : 0.004 s 0.21/0.51 # Total time : 0.011 s 0.21/0.51 # Maximum resident set size: 1888 pages 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.029 s 0.21/0.51 # System time : 0.010 s 0.21/0.51 # Total time : 0.039 s 0.21/0.51 # Maximum resident set size: 1732 pages 0.21/0.51 % E---3.1 exiting 0.21/0.51 % E exiting 0.21/0.51 EOF