0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n008.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 : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 03:41:49 EDT 2025 0.16/0.31 % CPUTime : 0.18/0.44 Running higher-order theorem proving 0.18/0.45 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=240 /export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p 0.18/0.46 # Version: 3.0.0-ho 0.18/0.46 # Preprocessing class: HSSSSLSSSLSNFFN. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.46 # Starting lpo6_lambda_fix with 1200s (5) cores 0.18/0.46 # Starting post_as_ho8 with 240s (1) cores 0.18/0.46 # Starting post_as_ho3 with 240s (1) cores 0.18/0.46 # Starting post_as_ho2 with 240s (1) cores 0.18/0.46 # lpo6_lambda_fix with pid 30355 completed with status 0 0.18/0.46 # Result found by lpo6_lambda_fix 0.18/0.46 # Preprocessing class: HSSSSLSSSLSNFFN. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.46 # Starting lpo6_lambda_fix with 1200s (5) cores 0.18/0.46 # No SInE strategy applied 0.18/0.46 # Search class: HGHSF-FFSF21-SFFFMFNN 0.18/0.46 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.18/0.46 # Starting new_ho_10 with 649s (1) cores 0.18/0.46 # Starting lpo6_lambda_fix with 121s (1) cores 0.18/0.46 # Starting ehoh_best_sine_rwall with 109s (1) cores 0.18/0.46 # Starting lpo1_def_fix with 109s (1) cores 0.18/0.46 # Starting ehoh_best8_lambda with 109s (1) cores 0.18/0.46 # lpo6_lambda_fix with pid 30362 completed with status 0 0.18/0.46 # Result found by lpo6_lambda_fix 0.18/0.46 # Preprocessing class: HSSSSLSSSLSNFFN. 0.18/0.46 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.46 # Starting lpo6_lambda_fix with 1200s (5) cores 0.18/0.46 # No SInE strategy applied 0.18/0.46 # Search class: HGHSF-FFSF21-SFFFMFNN 0.18/0.46 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.18/0.46 # Starting new_ho_10 with 649s (1) cores 0.18/0.46 # Starting lpo6_lambda_fix with 121s (1) cores 0.18/0.46 # Preprocessing time : 0.001 s 0.18/0.46 0.18/0.46 # Proof found! 0.18/0.46 # SZS status Theorem 0.18/0.46 # SZS output start CNFRefutation 0.18/0.46 thf(decl_23, type, in: $i > $i > $o). 0.18/0.46 thf(decl_24, type, emptyset: $i). 0.18/0.46 thf(decl_25, type, setadjoin: $i > $i > $i). 0.18/0.46 thf(decl_26, type, foundationAx: $o). 0.18/0.46 thf(decl_27, type, setadjoinIL: $o). 0.18/0.46 thf(decl_28, type, setadjoinIR: $o). 0.18/0.46 thf(decl_29, type, in__Cong: $o). 0.18/0.46 thf(decl_30, type, upairset2E: $o). 0.18/0.46 thf(decl_31, type, esk1_1: $i > $i). 0.18/0.46 thf(decl_32, type, esk2_0: $i). 0.18/0.46 thf(decl_33, type, esk3_0: $i). 0.18/0.46 thf(notinself2, conjecture, ((((((upairset2E)=>![X1:$i, X3:$i]:(((in @ X1 @ X3)=>~((in @ X3 @ X1)))))<=(in__Cong))<=(setadjoinIR))<=(setadjoinIL))<=(foundationAx)), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', notinself2)). 0.18/0.46 thf(foundationAx, axiom, ((foundationAx)<=>![X1:$i]:((?[X2:$i]:((in @ X2 @ X1))=>?[X3:$i]:(((in @ X3 @ X1)&~(?[X2:$i]:(((in @ X2 @ X3)&(in @ X2 @ X1))))))))), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', foundationAx)). 0.18/0.46 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X4:$i]:((in @ X2 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', setadjoinIL)). 0.18/0.46 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X1:$i, X4:$i]:(((in @ X4 @ X1)=>(in @ X4 @ (setadjoin @ X2 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', setadjoinIR)). 0.18/0.46 thf(in__Cong, axiom, ((in__Cong)<=>![X1:$i, X3:$i]:((((X1)=(X3))=>![X2:$i, X4:$i]:((((X2)=(X4))=>((in @ X2 @ X1)<=>(in @ X4 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', in__Cong)). 0.18/0.46 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X4:$i, X5:$i]:(((in @ X5 @ (setadjoin @ X2 @ (setadjoin @ X4 @ emptyset)))=>(((X5)=(X2))|((X5)=(X4)))))), file('/export/starexec/sandbox/tmp/tmp.vY5ps74FZL/E---3.1_30274.p', upairset2E)). 0.18/0.46 thf(c_0_6, negated_conjecture, ~((![X36:$i]:((?[X37:$i]:((in @ X37 @ X36))=>?[X38:$i]:(((in @ X38 @ X36)&~(?[X39:$i]:(((in @ X39 @ X38)&(in @ X39 @ X36))))))))=>(![X34:$i, X35:$i]:((in @ X34 @ (setadjoin @ X34 @ X35)))=>(![X31:$i, X32:$i, X33:$i]:(((in @ X33 @ X32)=>(in @ X33 @ (setadjoin @ X31 @ X32))))=>(![X27:$i, X28:$i]:((((X27)=(X28))=>![X29:$i, X30:$i]:((((X29)=(X30))=>((in @ X29 @ X27)<=>(in @ X30 @ X28))))))=>(![X24:$i, X25:$i, X26:$i]:(((in @ X26 @ (setadjoin @ X24 @ (setadjoin @ X25 @ emptyset)))=>(((X26)=(X24))|((X26)=(X25)))))=>![X1:$i, X3:$i]:(((in @ X1 @ X3)=>~(in @ X3 @ X1))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[notinself2]), foundationAx]), setadjoinIL]), setadjoinIR]), in__Cong]), upairset2E])])). 0.18/0.46 thf(c_0_7, negated_conjecture, ![X40:$i, X41:$i, X43:$i, X44:$i, X45:$i, X46:$i, X47:$i, X48:$i, X49:$i, X50:$i, X51:$i, X52:$i, X53:$i, X54:$i, X55:$i]:(((((in @ (esk1_1 @ X40) @ X40)|~(in @ X41 @ X40))&(~(in @ X43 @ (esk1_1 @ X40))|~(in @ X43 @ X40)|~(in @ X41 @ X40)))&((in @ X44 @ (setadjoin @ X44 @ X45))&((~(in @ X48 @ X47)|(in @ X48 @ (setadjoin @ X46 @ X47)))&(((~(in @ X51 @ X49)|(in @ X52 @ X50)|((X51)!=(X52))|((X49)!=(X50)))&(~(in @ X52 @ X50)|(in @ X51 @ X49)|((X51)!=(X52))|((X49)!=(X50))))&((~(in @ X55 @ (setadjoin @ X53 @ (setadjoin @ X54 @ emptyset)))|(((X55)=(X53))|((X55)=(X54))))&((in @ esk2_0 @ esk3_0)&(in @ esk3_0 @ esk2_0)))))))), 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_6])])])])])])). 0.18/0.46 thf(c_0_8, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (esk1_1 @ X1) @ X1)|~((in @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_9, negated_conjecture, ![X1:$i, X2:$i]:((in @ X1 @ (setadjoin @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_10, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:((~((in @ X1 @ (esk1_1 @ X2)))|~((in @ X1 @ X2))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_11, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((((X1)=(X2))|((X1)=(X3))|~((in @ X1 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_12, negated_conjecture, ![X1:$i, X2:$i]:((in @ (esk1_1 @ (setadjoin @ X1 @ X2)) @ (setadjoin @ X1 @ X2))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.18/0.46 thf(c_0_13, negated_conjecture, ![X1:$i, X2:$i]:((~((in @ X1 @ (esk1_1 @ X2)))|~((in @ X1 @ X2)))), inference(condense,[status(thm)],[c_0_10])). 0.18/0.46 thf(c_0_14, negated_conjecture, ![X2:$i, X1:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X2))|((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X1)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.18/0.46 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((in @ X1 @ (setadjoin @ X3 @ X2))|~((in @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_16, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X2))|~((in @ X3 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))|~((in @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.18/0.46 thf(c_0_17, negated_conjecture, ![X1:$i, X2:$i]:((((X1)=(X2))|~((in @ X1 @ (setadjoin @ X2 @ emptyset))))), inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_15])])). 0.18/0.46 thf(c_0_18, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X2))|~((in @ X3 @ (setadjoin @ X2 @ emptyset)))|~((in @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_16, c_0_15])). 0.18/0.46 thf(c_0_19, negated_conjecture, ![X1:$i]:(((esk1_1 @ (setadjoin @ X1 @ emptyset))=(X1))), inference(spm,[status(thm)],[c_0_17, c_0_12])). 0.18/0.46 thf(c_0_20, negated_conjecture, ![X2:$i, X1:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X2))|~((in @ X2 @ X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_12]), c_0_19])). 0.18/0.46 thf(c_0_21, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:((~((in @ X1 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))|~((in @ X1 @ X3))|~((in @ X3 @ X2)))), inference(spm,[status(thm)],[c_0_13, c_0_20])). 0.18/0.46 thf(c_0_22, negated_conjecture, ![X2:$i, X1:$i]:((~((in @ X1 @ X2))|~((in @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_21, c_0_9])). 0.18/0.46 thf(c_0_23, negated_conjecture, (in @ esk3_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_24, negated_conjecture, (in @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.46 thf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), ['proof']). 0.18/0.46 # SZS output end CNFRefutation 0.18/0.46 # Parsed axioms : 14 0.18/0.46 # Removed by relevancy pruning/SinE : 0 0.18/0.46 # Initial clauses : 17 0.18/0.46 # Removed in clause preprocessing : 10 0.18/0.46 # Initial clauses in saturation : 7 0.18/0.46 # Processed clauses : 40 0.18/0.46 # ...of these trivial : 2 0.18/0.46 # ...subsumed : 6 0.18/0.46 # ...remaining for further processing : 32 0.18/0.46 # Other redundant clauses eliminated : 2 0.18/0.46 # Clauses deleted for lack of memory : 0 0.18/0.46 # Backward-subsumed : 1 0.18/0.46 # Backward-rewritten : 0 0.18/0.46 # Generated clauses : 64 0.18/0.46 # ...of the previous two non-redundant : 46 0.18/0.46 # ...aggressively subsumed : 0 0.18/0.46 # Contextual simplify-reflections : 0 0.18/0.46 # Paramodulations : 60 0.18/0.46 # Factorizations : 2 0.18/0.46 # NegExts : 0 0.18/0.46 # Equation resolutions : 2 0.18/0.46 # Disequality decompositions : 0 0.18/0.46 # Total rewrite steps : 14 0.18/0.46 # ...of those cached : 3 0.18/0.46 # Propositional unsat checks : 0 0.18/0.46 # Propositional check models : 0 0.18/0.46 # Propositional check unsatisfiable : 0 0.18/0.46 # Propositional clauses : 0 0.18/0.46 # Propositional clauses after purity: 0 0.18/0.46 # Propositional unsat core size : 0 0.18/0.46 # Propositional preprocessing time : 0.000 0.18/0.46 # Propositional encoding time : 0.000 0.18/0.46 # Propositional solver time : 0.000 0.18/0.46 # Success case prop preproc time : 0.000 0.18/0.46 # Success case prop encoding time : 0.000 0.18/0.46 # Success case prop solver time : 0.000 0.18/0.46 # Current number of processed clauses : 31 0.18/0.46 # Positive orientable unit clauses : 8 0.18/0.46 # Positive unorientable unit clauses: 0 0.18/0.46 # Negative unit clauses : 7 0.18/0.46 # Non-unit-clauses : 16 0.18/0.46 # Current number of unprocessed clauses: 13 0.18/0.46 # ...number of literals in the above : 30 0.18/0.46 # Current number of archived formulas : 0 0.18/0.46 # Current number of archived clauses : 1 0.18/0.46 # Clause-clause subsumption calls (NU) : 79 0.18/0.46 # Rec. Clause-clause subsumption calls : 68 0.18/0.46 # Non-unit clause-clause subsumptions : 3 0.18/0.46 # Unit Clause-clause subsumption calls : 19 0.18/0.46 # Rewrite failures with RHS unbound : 0 0.18/0.46 # BW rewrite match attempts : 1 0.18/0.46 # BW rewrite match successes : 0 0.18/0.46 # Condensation attempts : 40 0.18/0.46 # Condensation successes : 3 0.18/0.46 # Termbank termtop insertions : 2118 0.18/0.46 # Search garbage collected termcells : 467 0.18/0.46 0.18/0.46 # ------------------------------------------------- 0.18/0.46 # User time : 0.004 s 0.18/0.46 # System time : 0.003 s 0.18/0.46 # Total time : 0.007 s 0.18/0.46 # Maximum resident set size: 1872 pages 0.18/0.46 0.18/0.46 # ------------------------------------------------- 0.18/0.46 # User time : 0.014 s 0.18/0.46 # System time : 0.011 s 0.18/0.46 # Total time : 0.025 s 0.18/0.46 # Maximum resident set size: 1716 pages 0.18/0.46 % E exiting 0.18/0.46 % E exiting 0.18/0.46 EOF