0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n002.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 03:44:04 EDT 2025 0.11/0.32 % CPUTime : 0.19/0.46 Running higher-order theorem proving 0.19/0.47 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=240 /export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p 0.19/0.48 # Version: 3.0.0-ho 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.48 # Starting new_ho_10 with 1200s (5) cores 0.19/0.48 # Starting ho_unfolding_6 with 240s (1) cores 0.19/0.48 # Starting sh4l with 240s (1) cores 0.19/0.48 # Starting ehoh_best_nonlift_rwall with 240s (1) cores 0.19/0.48 # ho_unfolding_6 with pid 17449 completed with status 0 0.19/0.48 # Result found by ho_unfolding_6 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.48 # Starting new_ho_10 with 1200s (5) cores 0.19/0.48 # Starting ho_unfolding_6 with 240s (1) cores 0.19/0.48 # No SInE strategy applied 0.19/0.48 # Search class: HGUPF-FFSF32-SFFFFFNN 0.19/0.48 # partial match(2): FGUPF-FFSM32-SFFFFFNN 0.19/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 130s (1) cores 0.19/0.48 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17454 completed with status 0 0.19/0.48 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.48 # Starting new_ho_10 with 1200s (5) cores 0.19/0.48 # Starting ho_unfolding_6 with 240s (1) cores 0.19/0.48 # No SInE strategy applied 0.19/0.48 # Search class: HGUPF-FFSF32-SFFFFFNN 0.19/0.48 # partial match(2): FGUPF-FFSM32-SFFFFFNN 0.19/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 130s (1) cores 0.19/0.48 # Preprocessing time : 0.001 s 0.19/0.48 # Presaturation interreduction done 0.19/0.48 0.19/0.48 # Proof found! 0.19/0.48 # SZS status Theorem 0.19/0.48 # SZS output start CNFRefutation 0.19/0.48 thf(decl_sort1, type, nat: $tType). 0.19/0.48 thf(decl_23, type, x: nat). 0.19/0.48 thf(decl_24, type, y: nat). 0.19/0.48 thf(decl_25, type, pl: nat > nat > nat). 0.19/0.48 thf(decl_26, type, n_1: nat). 0.19/0.48 thf(decl_27, type, esk1_1: nat > nat). 0.19/0.48 thf(decl_28, type, esk2_0: nat). 0.19/0.48 thf(decl_29, type, esk3_3: nat > nat > nat > nat). 0.19/0.48 thf(satz25, conjecture, (~(~(![X2:nat]:(((y)!=(pl @ (pl @ x @ n_1) @ X2)))))=>((y)=(pl @ x @ n_1))), file('/export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p', satz25)). 0.19/0.48 thf(satz19a, axiom, ![X1:nat, X3:nat, X5:nat]:((~(![X2:nat]:(((X1)!=(pl @ X3 @ X2))))=>~(![X2:nat]:(((pl @ X1 @ X5)!=(pl @ (pl @ X3 @ X5) @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p', satz19a)). 0.19/0.48 thf(satz6, axiom, ![X1:nat, X3:nat]:(((pl @ X1 @ X3)=(pl @ X3 @ X1))), file('/export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p', satz6)). 0.19/0.48 thf(satz24, axiom, ![X1:nat]:((~(~(![X2:nat]:(((X1)!=(pl @ n_1 @ X2)))))=>((X1)=(n_1)))), file('/export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p', satz24)). 0.19/0.48 thf(m, axiom, ~(![X2:nat]:(((y)!=(pl @ x @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.bUang39J1l/E---3.1_17370.p', m)). 0.19/0.48 thf(c_0_5, negated_conjecture, ~((~(~(![X2:nat]:(((y)!=(pl @ (pl @ x @ n_1) @ X2)))))=>((y)=(pl @ x @ n_1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz25])])). 0.19/0.48 thf(c_0_6, plain, ![X1:nat, X3:nat, X5:nat]:((~(![X2:nat]:(((X1)!=(pl @ X3 @ X2))))=>~(![X2:nat]:(((pl @ X1 @ X5)!=(pl @ (pl @ X3 @ X5) @ X2)))))), inference(fof_simplification,[status(thm)],[satz19a])). 0.19/0.48 thf(c_0_7, negated_conjecture, ![X23:nat]:((((y)!=(pl @ (pl @ x @ n_1) @ X23))&((y)!=(pl @ x @ n_1)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.19/0.48 thf(c_0_8, plain, ![X20:nat, X21:nat]:(((pl @ X20 @ X21)=(pl @ X21 @ X20))), inference(variable_rename,[status(thm)],[satz6])). 0.19/0.48 thf(c_0_9, plain, ![X24:nat, X25:nat, X26:nat, X27:nat]:((((X24)!=(pl @ X25 @ X26))|((pl @ X24 @ X27)=(pl @ (pl @ X25 @ X27) @ (esk3_3 @ X24 @ X25 @ X27))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])). 0.19/0.48 thf(c_0_10, negated_conjecture, ![X1:nat]:(((y)!=(pl @ (pl @ x @ n_1) @ X1))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.19/0.48 thf(c_0_11, plain, ![X2:nat, X1:nat]:(((pl @ X1 @ X2)=(pl @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.19/0.48 thf(c_0_12, plain, ![X1:nat, X2:nat, X5:nat, X3:nat]:((((pl @ X1 @ X5)=(pl @ (pl @ X2 @ X5) @ (esk3_3 @ X1 @ X2 @ X5)))|((X1)!=(pl @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.19/0.48 thf(c_0_13, plain, ![X1:nat]:((~(~(![X2:nat]:(((X1)!=(pl @ n_1 @ X2)))))=>((X1)=(n_1)))), inference(fof_simplification,[status(thm)],[satz24])). 0.19/0.48 thf(c_0_14, negated_conjecture, ![X1:nat]:(((pl @ (pl @ n_1 @ x) @ X1)!=(y))), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.19/0.48 thf(c_0_15, plain, ![X1:nat, X3:nat, X2:nat]:(((pl @ (pl @ X1 @ X2) @ (esk3_3 @ (pl @ X1 @ X3) @ X1 @ X2))=(pl @ (pl @ X1 @ X3) @ X2))), inference(er,[status(thm)],[c_0_12])). 0.19/0.48 thf(c_0_16, plain, ![X18:nat]:((((X18)=(pl @ n_1 @ (esk1_1 @ X18)))|((X18)=(n_1)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 0.19/0.48 thf(c_0_17, plain, ~(![X2:nat]:(((y)!=(pl @ x @ X2)))), inference(fof_simplification,[status(thm)],[m])). 0.19/0.48 thf(c_0_18, negated_conjecture, ![X1:nat]:(((pl @ x @ (pl @ n_1 @ X1))!=(y))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_11])). 0.19/0.48 thf(c_0_19, plain, ![X1:nat]:((((X1)=(pl @ n_1 @ (esk1_1 @ X1)))|((X1)=(n_1)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.48 thf(c_0_20, plain, ((y)=(pl @ x @ esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 0.19/0.48 thf(c_0_21, negated_conjecture, ![X1:nat]:((((X1)=(n_1))|((pl @ x @ X1)!=(y)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.19/0.48 thf(c_0_22, plain, ((y)=(pl @ x @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.19/0.48 thf(c_0_23, negated_conjecture, ((y)!=(pl @ x @ n_1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.19/0.48 thf(c_0_24, negated_conjecture, ((esk2_0)=(n_1)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.19/0.48 thf(c_0_25, negated_conjecture, ((pl @ n_1 @ x)!=(y)), inference(rw,[status(thm)],[c_0_23, c_0_11])). 0.19/0.48 thf(c_0_26, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_24]), c_0_11]), c_0_25]), ['proof']). 0.19/0.48 # SZS output end CNFRefutation 0.19/0.48 # Parsed axioms : 11 0.19/0.48 # Removed by relevancy pruning/SinE : 0 0.19/0.48 # Initial clauses : 12 0.19/0.48 # Removed in clause preprocessing : 6 0.19/0.48 # Initial clauses in saturation : 6 0.19/0.48 # Processed clauses : 27 0.19/0.48 # ...of these trivial : 0 0.19/0.48 # ...subsumed : 6 0.19/0.48 # ...remaining for further processing : 21 0.19/0.48 # Other redundant clauses eliminated : 1 0.19/0.48 # Clauses deleted for lack of memory : 0 0.19/0.48 # Backward-subsumed : 0 0.19/0.48 # Backward-rewritten : 3 0.19/0.48 # Generated clauses : 29 0.19/0.48 # ...of the previous two non-redundant : 31 0.19/0.48 # ...aggressively subsumed : 0 0.19/0.48 # Contextual simplify-reflections : 0 0.19/0.48 # Paramodulations : 28 0.19/0.48 # Factorizations : 0 0.19/0.48 # NegExts : 0 0.19/0.48 # Equation resolutions : 1 0.19/0.48 # Disequality decompositions : 0 0.19/0.48 # Total rewrite steps : 5 0.19/0.48 # ...of those cached : 1 0.19/0.48 # Propositional unsat checks : 0 0.19/0.48 # Propositional check models : 0 0.19/0.48 # Propositional check unsatisfiable : 0 0.19/0.48 # Propositional clauses : 0 0.19/0.48 # Propositional clauses after purity: 0 0.19/0.48 # Propositional unsat core size : 0 0.19/0.48 # Propositional preprocessing time : 0.000 0.19/0.48 # Propositional encoding time : 0.000 0.19/0.48 # Propositional solver time : 0.000 0.19/0.48 # Success case prop preproc time : 0.000 0.19/0.48 # Success case prop encoding time : 0.000 0.19/0.48 # Success case prop solver time : 0.000 0.19/0.48 # Current number of processed clauses : 11 0.19/0.48 # Positive orientable unit clauses : 3 0.19/0.48 # Positive unorientable unit clauses: 1 0.19/0.48 # Negative unit clauses : 5 0.19/0.48 # Non-unit-clauses : 2 0.19/0.48 # Current number of unprocessed clauses: 16 0.19/0.48 # ...number of literals in the above : 20 0.19/0.48 # Current number of archived formulas : 0 0.19/0.48 # Current number of archived clauses : 9 0.19/0.48 # Clause-clause subsumption calls (NU) : 0 0.19/0.48 # Rec. Clause-clause subsumption calls : 0 0.19/0.48 # Non-unit clause-clause subsumptions : 0 0.19/0.48 # Unit Clause-clause subsumption calls : 6 0.19/0.48 # Rewrite failures with RHS unbound : 0 0.19/0.48 # BW rewrite match attempts : 17 0.19/0.48 # BW rewrite match successes : 17 0.19/0.48 # Condensation attempts : 0 0.19/0.48 # Condensation successes : 0 0.19/0.48 # Termbank termtop insertions : 885 0.19/0.48 # Search garbage collected termcells : 151 0.19/0.48 0.19/0.48 # ------------------------------------------------- 0.19/0.48 # User time : 0.007 s 0.19/0.48 # System time : 0.000 s 0.19/0.48 # Total time : 0.007 s 0.19/0.48 # Maximum resident set size: 1776 pages 0.19/0.48 0.19/0.48 # ------------------------------------------------- 0.19/0.48 # User time : 0.007 s 0.19/0.48 # System time : 0.003 s 0.19/0.48 # Total time : 0.010 s 0.19/0.48 # Maximum resident set size: 1720 pages 0.19/0.48 % E exiting 0.19/0.48 % E exiting 0.19/0.48 EOF