0.05/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n011.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 07:44:54 EDT 2024 0.12/0.34 % CPUTime : 0.22/0.49 Running higher-order theorem proving 0.22/0.50 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=180 /export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p 0.22/0.52 # Version: 3.2.0-ho 0.22/0.52 # Preprocessing class: HSSSSLSSSLMNSFA. 0.22/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.52 # Starting new_ho_10 with 900s (5) cores 0.22/0.52 # Starting full_lambda_3 with 180s (1) cores 0.22/0.52 # Starting ho_unfolding_6 with 180s (1) cores 0.22/0.52 # Starting sh4l with 180s (1) cores 0.22/0.52 # full_lambda_3 with pid 11832 completed with status 0 0.22/0.52 # Result found by full_lambda_3 0.22/0.52 # Preprocessing class: HSSSSLSSSLMNSFA. 0.22/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.52 # Starting new_ho_10 with 900s (5) cores 0.22/0.52 # Starting full_lambda_3 with 180s (1) cores 0.22/0.52 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.22/0.52 # Search class: HGUSF-FFSF22-DSFFMSBN 0.22/0.52 # partial match(2): HGHSF-FFSF22-SSFFMSBN 0.22/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.52 # Starting new_ho_10 with 98s (1) cores 0.22/0.52 # new_ho_10 with pid 11838 completed with status 0 0.22/0.52 # Result found by new_ho_10 0.22/0.52 # Preprocessing class: HSSSSLSSSLMNSFA. 0.22/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.52 # Starting new_ho_10 with 900s (5) cores 0.22/0.52 # Starting full_lambda_3 with 180s (1) cores 0.22/0.52 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.22/0.52 # Search class: HGUSF-FFSF22-DSFFMSBN 0.22/0.52 # partial match(2): HGHSF-FFSF22-SSFFMSBN 0.22/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.52 # Starting new_ho_10 with 98s (1) cores 0.22/0.52 # Preprocessing time : 0.001 s 0.22/0.52 # Presaturation interreduction done 0.22/0.52 0.22/0.52 # Proof found! 0.22/0.52 # SZS status Theorem 0.22/0.52 # SZS output start CNFRefutation 0.22/0.52 thf(decl_22, type, in: $i > $i > $o). 0.22/0.52 thf(decl_23, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.52 thf(decl_24, type, dsetconstrEL: $o). 0.22/0.52 thf(decl_25, type, dsetconstrER: $o). 0.22/0.52 thf(decl_26, type, binunion: $i > $i > $i). 0.22/0.52 thf(decl_27, type, binunionE: $o). 0.22/0.52 thf(decl_28, type, symdiff: $i > $i > $i). 0.22/0.52 thf(decl_29, type, esk1_0: $i). 0.22/0.52 thf(decl_30, type, esk2_0: $i). 0.22/0.52 thf(decl_31, type, esk3_0: $i). 0.22/0.52 thf(decl_32, type, epred1_0: $o). 0.22/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p', dsetconstrER)). 0.22/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(in @ X3 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p', dsetconstrEL)). 0.22/0.52 thf(symdiffE, conjecture, ((dsetconstrEL)=>((![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ (symdiff @ X1 @ X5))=>![X6:$o]:((((((X6)<=(in @ X3 @ X5))<=~((in @ X3 @ X1)))=>(X6))<=(((X6)<=~((in @ X3 @ X5)))<=(in @ X3 @ X1))))))<=(binunionE))<=(dsetconstrER))), file('/export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p', symdiffE)). 0.22/0.52 thf(binunionE, axiom, ((binunionE)<=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ (binunion @ X1 @ X5))=>((in @ X3 @ X1)|(in @ X3 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p', binunionE)). 0.22/0.52 thf(symdiff, axiom, ((symdiff)=(^[X1:$i, X5:$i]:(dsetconstr @ (binunion @ X1 @ X5) @ (^[X3:$i]:((~((in @ X3 @ X1))|~((in @ X3 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.obb9gQJPFR/E---3.1_11683.p', symdiff)). 0.22/0.52 thf(c_0_5, plain, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0)))))=>(X2 @ X3)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.22/0.52 thf(c_0_6, plain, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0)))))=>(in @ X3 @ X1)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.22/0.52 thf(c_0_7, negated_conjecture, ~((![X20:$i, X21:$i > $o, X22:$i]:(((in @ X22 @ (dsetconstr @ X20 @ X21))=>(in @ X22 @ X20)))=>(![X26:$i, X27:$i > $o, X28:$i]:(((in @ X28 @ (dsetconstr @ X26 @ X27))=>(X27 @ X28)))=>(![X23:$i, X24:$i, X25:$i]:(((in @ X25 @ (binunion @ X23 @ X24))=>((in @ X25 @ X23)|(in @ X25 @ X24))))=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ (symdiff @ X1 @ X5))=>![X6:$o]:((((in @ X3 @ X1)=>(~(in @ X3 @ X5)=>(X6)))=>((~(in @ X3 @ X1)=>((in @ X3 @ X5)=>(X6)))=>(X6)))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[symdiffE]), c_0_5]), c_0_6]), binunionE])])])). 0.22/0.52 thf(c_0_8, plain, ((symdiff)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (binunion @ Z0 @ Z1) @ (^[Z2/* 9 */:$i]:((~((in @ Z2 @ Z0))|~((in @ Z2 @ Z1)))))))), inference(fof_simplification,[status(thm)],[symdiff])). 0.22/0.52 thf(c_0_9, negated_conjecture, ![X29:$i, X30:$i > $o, X31:$i, X32:$i, X33:$i > $o, X34:$i, X35:$i, X36:$i, X37:$i]:(((~(in @ X31 @ (dsetconstr @ X29 @ X30))|(in @ X31 @ X29))&((~(in @ X34 @ (dsetconstr @ X32 @ X33))|(X33 @ X34))&((~(in @ X37 @ (binunion @ X35 @ X36))|((in @ X37 @ X35)|(in @ X37 @ X36)))&((in @ esk3_0 @ (symdiff @ esk1_0 @ esk2_0))&((~(in @ esk3_0 @ esk1_0)|((in @ esk3_0 @ esk2_0)|(epred1_0)))&(((in @ esk3_0 @ esk1_0)|(~(in @ esk3_0 @ esk2_0)|(epred1_0)))&~(epred1_0)))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 0.22/0.52 thf(c_0_10, plain, ((symdiff)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (binunion @ Z0 @ Z1) @ (^[Z2/* 9 */:$i]:((~((in @ Z2 @ Z0))|~((in @ Z2 @ Z1)))))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.22/0.52 thf(c_0_11, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((in @ X1 @ X3)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_12, plain, ![X1:$i, X3:$i]:(((dsetconstr @ (binunion @ X1 @ X3) @ (^[Z0/* 9 */:$i]:((~((in @ Z0 @ X1))|~((in @ Z0 @ X3))))))=(symdiff @ X1 @ X3))), inference(arg_cong,[status(thm)],[c_0_10])). 0.22/0.52 thf(c_0_13, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((X2 @ X1)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_14, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ X3)|(in @ X1 @ X4)|~((in @ X1 @ (binunion @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ (binunion @ X3 @ X4))|~((in @ X1 @ (symdiff @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.22/0.52 thf(c_0_16, negated_conjecture, ((in @ esk3_0 @ esk1_0)|(epred1_0)|~((in @ esk3_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_17, negated_conjecture, ~((epred1_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_18, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:((~((in @ X1 @ X3))|~((in @ X1 @ X4))|~((in @ X1 @ (symdiff @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_13, c_0_12])). 0.22/0.52 thf(c_0_19, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ X3)|(in @ X1 @ X4)|~((in @ X1 @ (symdiff @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.22/0.52 thf(c_0_20, negated_conjecture, (in @ esk3_0 @ (symdiff @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_21, negated_conjecture, ((in @ esk3_0 @ esk1_0)|~((in @ esk3_0 @ esk2_0))), inference(sr,[status(thm)],[c_0_16, c_0_17])). 0.22/0.52 thf(c_0_22, negated_conjecture, ((in @ esk3_0 @ esk2_0)|(epred1_0)|~((in @ esk3_0 @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.22/0.52 thf(c_0_23, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:((~((in @ X1 @ (symdiff @ X3 @ X4)))|~((in @ X1 @ X3))|~((in @ X1 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_18])). 0.22/0.52 thf(c_0_24, negated_conjecture, (in @ esk3_0 @ esk1_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21])). 0.22/0.52 thf(c_0_25, negated_conjecture, ((in @ esk3_0 @ esk2_0)|~((in @ esk3_0 @ esk1_0))), inference(sr,[status(thm)],[c_0_22, c_0_17])). 0.22/0.52 thf(c_0_26, negated_conjecture, ~((in @ esk3_0 @ esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_20]), c_0_24])])). 0.22/0.52 thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_24])]), c_0_26]), ['proof']). 0.22/0.52 # SZS output end CNFRefutation 0.22/0.52 # Parsed axioms : 12 0.22/0.52 # Removed by relevancy pruning/SinE : 7 0.22/0.52 # Initial clauses : 8 0.22/0.52 # Removed in clause preprocessing : 0 0.22/0.52 # Initial clauses in saturation : 8 0.22/0.52 # Processed clauses : 25 0.22/0.52 # ...of these trivial : 0 0.22/0.52 # ...subsumed : 0 0.22/0.52 # ...remaining for further processing : 24 0.22/0.52 # Other redundant clauses eliminated : 0 0.22/0.52 # Clauses deleted for lack of memory : 0 0.22/0.52 # Backward-subsumed : 0 0.22/0.52 # Backward-rewritten : 2 0.22/0.52 # Generated clauses : 10 0.22/0.52 # ...of the previous two non-redundant : 9 0.22/0.52 # ...aggressively subsumed : 0 0.22/0.52 # Contextual simplify-reflections : 1 0.22/0.52 # Paramodulations : 6 0.22/0.52 # Factorizations : 0 0.22/0.52 # NegExts : 0 0.22/0.52 # Equation resolutions : 0 0.22/0.52 # Disequality decompositions : 0 0.22/0.52 # Total rewrite steps : 4 0.22/0.52 # ...of those cached : 2 0.22/0.52 # Propositional unsat checks : 0 0.22/0.52 # Propositional check models : 0 0.22/0.52 # Propositional check unsatisfiable : 0 0.22/0.52 # Propositional clauses : 0 0.22/0.52 # Propositional clauses after purity: 0 0.22/0.52 # Propositional unsat core size : 0 0.22/0.52 # Propositional preprocessing time : 0.000 0.22/0.52 # Propositional encoding time : 0.000 0.22/0.52 # Propositional solver time : 0.000 0.22/0.52 # Success case prop preproc time : 0.000 0.22/0.52 # Success case prop encoding time : 0.000 0.22/0.52 # Success case prop solver time : 0.000 0.22/0.52 # Current number of processed clauses : 13 0.22/0.52 # Positive orientable unit clauses : 5 0.22/0.52 # Positive unorientable unit clauses: 0 0.22/0.52 # Negative unit clauses : 2 0.22/0.52 # Non-unit-clauses : 6 0.22/0.52 # Current number of unprocessed clauses: 0 0.22/0.52 # ...number of literals in the above : 0 0.22/0.52 # Current number of archived formulas : 0 0.22/0.52 # Current number of archived clauses : 11 0.22/0.52 # Clause-clause subsumption calls (NU) : 10 0.22/0.52 # Rec. Clause-clause subsumption calls : 9 0.22/0.52 # Non-unit clause-clause subsumptions : 1 0.22/0.52 # Unit Clause-clause subsumption calls : 1 0.22/0.52 # Rewrite failures with RHS unbound : 0 0.22/0.52 # BW rewrite match attempts : 2 0.22/0.52 # BW rewrite match successes : 1 0.22/0.52 # Condensation attempts : 25 0.22/0.52 # Condensation successes : 0 0.22/0.52 # Termbank termtop insertions : 1465 0.22/0.52 # Search garbage collected termcells : 384 0.22/0.52 0.22/0.52 # ------------------------------------------------- 0.22/0.52 # User time : 0.004 s 0.22/0.52 # System time : 0.003 s 0.22/0.52 # Total time : 0.008 s 0.22/0.52 # Maximum resident set size: 1940 pages 0.22/0.52 0.22/0.52 # ------------------------------------------------- 0.22/0.52 # User time : 0.004 s 0.22/0.52 # System time : 0.007 s 0.22/0.52 # Total time : 0.011 s 0.22/0.52 # Maximum resident set size: 1708 pages 0.22/0.52 % E---3.1 exiting 0.22/0.52 % E exiting 0.22/0.52 EOF