0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_E %s %d THM 0.13/0.35 % Computer : n014.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Thu Jul 4 05:52:24 EDT 2024 0.13/0.35 % CPUTime : 0.21/0.50 Running higher-order theorem proving 0.21/0.51 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.kznTEq0x4q/E---3.1_835.p 0.21/0.53 # Version: 3.2.0-ho 0.21/0.53 # Preprocessing class: HSSSSLSSSLSNFFN. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.53 # Starting lpo6_lambda_fix with 900s (5) cores 0.21/0.53 # Starting post_as_ho8 with 180s (1) cores 0.21/0.53 # Starting post_as_ho3 with 180s (1) cores 0.21/0.53 # Starting post_as_ho2 with 180s (1) cores 0.21/0.53 # post_as_ho8 with pid 918 completed with status 0 0.21/0.53 # Result found by post_as_ho8 0.21/0.53 # Preprocessing class: HSSSSLSSSLSNFFN. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.53 # Starting lpo6_lambda_fix with 900s (5) cores 0.21/0.53 # Starting post_as_ho8 with 180s (1) cores 0.21/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.21/0.53 # Search class: HGHSF-FFSF21-SFFFMFNN 0.21/0.53 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.53 # Starting new_ho_10 with 98s (1) cores 0.21/0.53 # new_ho_10 with pid 921 completed with status 0 0.21/0.53 # Result found by new_ho_10 0.21/0.53 # Preprocessing class: HSSSSLSSSLSNFFN. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.21/0.53 # Starting lpo6_lambda_fix with 900s (5) cores 0.21/0.53 # Starting post_as_ho8 with 180s (1) cores 0.21/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.21/0.53 # Search class: HGHSF-FFSF21-SFFFMFNN 0.21/0.53 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.21/0.53 # Starting new_ho_10 with 98s (1) cores 0.21/0.53 # Preprocessing time : 0.001 s 0.21/0.53 # Presaturation interreduction done 0.21/0.53 0.21/0.53 # Proof found! 0.21/0.53 # SZS status Theorem 0.21/0.53 # SZS output start CNFRefutation 0.21/0.53 thf(decl_22, type, in: $i > $i > $o). 0.21/0.53 thf(decl_23, type, emptyset: $i). 0.21/0.53 thf(decl_24, type, setadjoin: $i > $i > $i). 0.21/0.53 thf(decl_25, type, foundationAx: $o). 0.21/0.53 thf(decl_26, type, setadjoinIL: $o). 0.21/0.53 thf(decl_27, type, setadjoinIR: $o). 0.21/0.53 thf(decl_28, type, in__Cong: $o). 0.21/0.53 thf(decl_29, type, upairset2E: $o). 0.21/0.53 thf(decl_30, type, esk1_1: $i > $i). 0.21/0.53 thf(decl_31, type, esk2_0: $i). 0.21/0.53 thf(decl_32, type, esk3_0: $i). 0.21/0.53 thf(notinself2, conjecture, ((foundationAx)=>((setadjoinIL)=>(((in__Cong)=>(![X1:$i, X3:$i]:(((in @ X1 @ X3)=>~((in @ X3 @ X1))))<=(upairset2E)))<=(setadjoinIR)))), file('/export/starexec/sandbox/tmp/tmp.kznTEq0x4q/E---3.1_835.p', notinself2)). 0.21/0.53 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X1:$i, X4:$i]:(((in @ X4 @ X1)=>(in @ X4 @ (setadjoin @ X2 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.kznTEq0x4q/E---3.1_835.p', setadjoinIR)). 0.21/0.53 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X4:$i]:((in @ X2 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.kznTEq0x4q/E---3.1_835.p', setadjoinIL)). 0.21/0.53 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.kznTEq0x4q/E---3.1_835.p', in__Cong)). 0.21/0.53 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X4:$i, X5:$i]:(((in @ X5 @ (setadjoin @ X2 @ (setadjoin @ X4 @ emptyset)))=>(((X5)=(X2))|((X5)=(X4)))))), file('/export/starexec/sandbox/tmp/tmp.kznTEq0x4q/E---3.1_835.p', upairset2E)). 0.21/0.53 thf(foundationAx, axiom, ((foundationAx)<=>![X1:$i]:((?[X2:$i]:((in @ X2 @ X1))=>?[X3:$i]:(((in @ X3 @ X1)&~(?[X2:$i]:(((in @ X2 @ X3)&(in @ X2 @ X1))))))))), file('/export/starexec/sandbox/tmp/tmp.kznTEq0x4q/E---3.1_835.p', foundationAx)). 0.21/0.53 thf(c_0_6, negated_conjecture, ~((![X24:$i]:((?[X25:$i]:((in @ X25 @ X24))=>?[X26:$i]:(((in @ X26 @ X24)&~(?[X27:$i]:(((in @ X27 @ X26)&(in @ X27 @ X24))))))))=>(![X28:$i, X29:$i]:((in @ X28 @ (setadjoin @ X28 @ X29)))=>(![X37:$i, X38:$i, X39:$i]:(((in @ X39 @ X38)=>(in @ X39 @ (setadjoin @ X37 @ X38))))=>(![X30:$i, X31:$i]:((((X30)=(X31))=>![X32:$i, X33:$i]:((((X32)=(X33))=>((in @ X32 @ X30)<=>(in @ X33 @ X31))))))=>(![X34:$i, X35:$i, X36:$i]:(((in @ X36 @ (setadjoin @ X34 @ (setadjoin @ X35 @ emptyset)))=>(((X36)=(X34))|((X36)=(X35)))))=>![X1:$i, X3:$i]:(((in @ X1 @ X3)=>~(in @ X3 @ X1))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[notinself2]), setadjoinIR]), setadjoinIL]), in__Cong]), upairset2E]), foundationAx])])). 0.21/0.53 thf(c_0_7, negated_conjecture, ![X40:$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])])])])])])). 0.21/0.53 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])). 0.21/0.53 thf(c_0_9, negated_conjecture, ![X1:$i, X2:$i]:((in @ X1 @ (setadjoin @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 thf(c_0_10, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:((~((in @ X1 @ (esk1_1 @ X2)))|~((in @ X1 @ X2))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 thf(c_0_11, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((((X1)=(X2))|((X1)=(X3))|~((in @ X1 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 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])). 0.21/0.53 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])). 0.21/0.53 thf(c_0_14, negated_conjecture, ![X1:$i, X2:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X1))|((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X2)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.21/0.53 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X1))|~((in @ X3 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))|~((in @ X3 @ X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.21/0.53 thf(c_0_16, negated_conjecture, ![X1:$i, X2:$i]:((((esk1_1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))=(X1))|~((in @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_15, c_0_9])). 0.21/0.53 thf(c_0_17, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:(((in @ X1 @ (setadjoin @ X3 @ X2))|~((in @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 thf(c_0_18, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((~((in @ X1 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))|~((in @ X1 @ X2))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_13, c_0_16])). 0.21/0.53 thf(c_0_19, negated_conjecture, ![X1:$i, X2:$i]:((((X1)=(X2))|~((in @ X1 @ (setadjoin @ X2 @ emptyset))))), inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_17])])). 0.21/0.53 thf(c_0_20, negated_conjecture, ![X1:$i, X3:$i, X2:$i]:((~((in @ X1 @ (setadjoin @ X2 @ emptyset)))|~((in @ X1 @ X3))|~((in @ X3 @ X2)))), inference(spm,[status(thm)],[c_0_18, c_0_17])). 0.21/0.53 thf(c_0_21, negated_conjecture, ![X1:$i]:(((esk1_1 @ (setadjoin @ X1 @ emptyset))=(X1))), inference(spm,[status(thm)],[c_0_19, c_0_12])). 0.21/0.53 thf(c_0_22, negated_conjecture, ![X2:$i, X1:$i]:((~((in @ X1 @ X2))|~((in @ X2 @ X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_12]), c_0_21])). 0.21/0.53 thf(c_0_23, negated_conjecture, (in @ esk3_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 thf(c_0_24, negated_conjecture, (in @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.53 thf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), ['proof']). 0.21/0.53 # SZS output end CNFRefutation 0.21/0.53 # Parsed axioms : 14 0.21/0.53 # Removed by relevancy pruning/SinE : 8 0.21/0.53 # Initial clauses : 9 0.21/0.53 # Removed in clause preprocessing : 2 0.21/0.53 # Initial clauses in saturation : 7 0.21/0.53 # Processed clauses : 61 0.21/0.53 # ...of these trivial : 1 0.21/0.53 # ...subsumed : 15 0.21/0.53 # ...remaining for further processing : 45 0.21/0.53 # Other redundant clauses eliminated : 2 0.21/0.53 # Clauses deleted for lack of memory : 0 0.21/0.53 # Backward-subsumed : 1 0.21/0.53 # Backward-rewritten : 1 0.21/0.53 # Generated clauses : 97 0.21/0.53 # ...of the previous two non-redundant : 76 0.21/0.53 # ...aggressively subsumed : 0 0.21/0.53 # Contextual simplify-reflections : 0 0.21/0.53 # Paramodulations : 93 0.21/0.53 # Factorizations : 2 0.21/0.53 # NegExts : 0 0.21/0.53 # Equation resolutions : 2 0.21/0.53 # Disequality decompositions : 0 0.21/0.53 # Total rewrite steps : 18 0.21/0.53 # ...of those cached : 7 0.21/0.53 # Propositional unsat checks : 0 0.21/0.53 # Propositional check models : 0 0.21/0.53 # Propositional check unsatisfiable : 0 0.21/0.53 # Propositional clauses : 0 0.21/0.53 # Propositional clauses after purity: 0 0.21/0.53 # Propositional unsat core size : 0 0.21/0.53 # Propositional preprocessing time : 0.000 0.21/0.53 # Propositional encoding time : 0.000 0.21/0.53 # Propositional solver time : 0.000 0.21/0.53 # Success case prop preproc time : 0.000 0.21/0.53 # Success case prop encoding time : 0.000 0.21/0.53 # Success case prop solver time : 0.000 0.21/0.53 # Current number of processed clauses : 36 0.21/0.53 # Positive orientable unit clauses : 8 0.21/0.53 # Positive unorientable unit clauses: 0 0.21/0.53 # Negative unit clauses : 6 0.21/0.53 # Non-unit-clauses : 22 0.21/0.53 # Current number of unprocessed clauses: 23 0.21/0.53 # ...number of literals in the above : 59 0.21/0.53 # Current number of archived formulas : 0 0.21/0.53 # Current number of archived clauses : 9 0.21/0.53 # Clause-clause subsumption calls (NU) : 141 0.21/0.53 # Rec. Clause-clause subsumption calls : 127 0.21/0.53 # Non-unit clause-clause subsumptions : 6 0.21/0.53 # Unit Clause-clause subsumption calls : 27 0.21/0.53 # Rewrite failures with RHS unbound : 0 0.21/0.53 # BW rewrite match attempts : 2 0.21/0.53 # BW rewrite match successes : 1 0.21/0.53 # Condensation attempts : 61 0.21/0.53 # Condensation successes : 4 0.21/0.53 # Termbank termtop insertions : 2454 0.21/0.53 # Search garbage collected termcells : 466 0.21/0.53 0.21/0.53 # ------------------------------------------------- 0.21/0.53 # User time : 0.005 s 0.21/0.53 # System time : 0.004 s 0.21/0.53 # Total time : 0.009 s 0.21/0.53 # Maximum resident set size: 1920 pages 0.21/0.53 0.21/0.53 # ------------------------------------------------- 0.21/0.53 # User time : 0.007 s 0.21/0.53 # System time : 0.006 s 0.21/0.53 # Total time : 0.013 s 0.21/0.53 # Maximum resident set size: 1708 pages 0.21/0.53 % E---3.1 exiting 0.21/0.53 % E exiting 0.21/0.53 EOF