0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.34 % Computer : n008.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 : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 02:39:04 EDT 2025 0.19/0.34 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.49 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.cNwSIofyUo/E---3.1_21393.p 0.20/0.51 # Version: 3.0.0-ho 0.20/0.51 # Preprocessing class: HSSSSLSSSLMNSFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # Starting full_lambda_3 with 240s (1) cores 0.20/0.51 # Starting ho_unfolding_6 with 240s (1) cores 0.20/0.51 # Starting sh4l with 240s (1) cores 0.20/0.51 # full_lambda_3 with pid 21473 completed with status 0 0.20/0.51 # Result found by full_lambda_3 0.20/0.51 # Preprocessing class: HSSSSLSSSLMNSFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # Starting full_lambda_3 with 240s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.20/0.51 # Search class: HHUSF-FFSF22-DSFFMSBN 0.20/0.51 # partial match(1): HHUSF-FFSF22-SSFFMSBN 0.20/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.51 # Starting new_ho_10 with 130s (1) cores 0.20/0.51 # new_ho_10 with pid 21476 completed with status 0 0.20/0.51 # Result found by new_ho_10 0.20/0.51 # Preprocessing class: HSSSSLSSSLMNSFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.51 # Starting new_ho_10 with 1200s (5) cores 0.20/0.51 # Starting full_lambda_3 with 240s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.20/0.51 # Search class: HHUSF-FFSF22-DSFFMSBN 0.20/0.51 # partial match(1): HHUSF-FFSF22-SSFFMSBN 0.20/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.51 # Starting new_ho_10 with 130s (1) cores 0.20/0.51 # Preprocessing time : 0.001 s 0.20/0.51 # Presaturation interreduction done 0.20/0.51 0.20/0.51 # Proof found! 0.20/0.51 # SZS status Theorem 0.20/0.51 # SZS output start CNFRefutation 0.20/0.51 thf(decl_23, type, in: $i > $i > $o). 0.20/0.51 thf(decl_24, type, dsetconstr: $i > ($i > $o) > $i). 0.20/0.51 thf(decl_25, type, dsetconstrI: $o). 0.20/0.51 thf(decl_26, type, binunion: $i > $i > $i). 0.20/0.51 thf(decl_27, type, binunionIR: $o). 0.20/0.51 thf(decl_28, type, symdiff: $i > $i > $i). 0.20/0.51 thf(decl_29, type, esk1_0: $i). 0.20/0.51 thf(decl_30, type, esk2_0: $i). 0.20/0.51 thf(decl_31, type, esk3_0: $i). 0.20/0.51 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.cNwSIofyUo/E---3.1_21393.p', dsetconstrI)). 0.20/0.51 thf(symdiffI2, conjecture, ((dsetconstrI)=>((binunionIR)=>![X1:$i, X5:$i, X3:$i]:((((in @ X3 @ X5)=>(in @ X3 @ (symdiff @ X1 @ X5)))<=~((in @ X3 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.cNwSIofyUo/E---3.1_21393.p', symdiffI2)). 0.20/0.51 thf(binunionIR, axiom, ((binunionIR)<=>![X1:$i, X5:$i, X3:$i]:(((in @ X3 @ X5)=>(in @ X3 @ (binunion @ X1 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.cNwSIofyUo/E---3.1_21393.p', binunionIR)). 0.20/0.51 thf(symdiff, axiom, ((symdiff)=(^[X1:$i, X5:$i]:(dsetconstr @ (binunion @ X1 @ X5) @ (^[X3:$i]:((~((in @ X3 @ X1))|~((in @ X3 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.cNwSIofyUo/E---3.1_21393.p', symdiff)). 0.20/0.51 thf(c_0_4, plain, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.20/0.51 thf(c_0_5, negated_conjecture, ~((![X15:$i, X16:$i > $o, X17:$i]:(((in @ X17 @ X15)=>((X16 @ X17)=>(in @ X17 @ (dsetconstr @ X15 @ X16)))))=>(![X18:$i, X19:$i, X20:$i]:(((in @ X20 @ X19)=>(in @ X20 @ (binunion @ X18 @ X19))))=>![X1:$i, X5:$i, X3:$i]:((~(in @ X3 @ X1)=>((in @ X3 @ X5)=>(in @ X3 @ (symdiff @ X1 @ X5)))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[symdiffI2]), binunionIR]), c_0_4])])])). 0.20/0.51 thf(c_0_6, plain, ((symdiff)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (binunion @ Z0 @ Z1) @ (^[Z2/* 9 */:$i]:((~((in @ Z2 @ Z0))|~((in @ Z2 @ Z1)))))))), inference(fof_simplification,[status(thm)],[symdiff])). 0.20/0.51 thf(c_0_7, negated_conjecture, ![X21:$i, X22:$i > $o, X23:$i, X24:$i, X25:$i, X26:$i]:(((~(in @ X23 @ X21)|(~(X22 @ X23)|(in @ X23 @ (dsetconstr @ X21 @ X22))))&((~(in @ X26 @ X25)|(in @ X26 @ (binunion @ X24 @ X25)))&(~(in @ esk3_0 @ esk1_0)&((in @ esk3_0 @ esk2_0)&~(in @ esk3_0 @ (symdiff @ esk1_0 @ esk2_0))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 0.20/0.51 thf(c_0_8, plain, ((symdiff)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (binunion @ Z0 @ Z1) @ (^[Z2/* 9 */:$i]:((~((in @ Z2 @ Z0))|~((in @ Z2 @ Z1)))))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.20/0.51 thf(c_0_9, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ X1 @ (dsetconstr @ X3 @ X2))|~((in @ X1 @ X3))|~((X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_10, plain, ![X1:$i, X3:$i]:(((dsetconstr @ (binunion @ X1 @ X3) @ (^[Z0/* 9 */:$i]:((~((in @ Z0 @ X1))|~((in @ Z0 @ X3))))))=(symdiff @ X1 @ X3))), inference(arg_cong,[status(thm)],[c_0_8])). 0.20/0.51 thf(c_0_11, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ (symdiff @ X3 @ X4))|~((~((in @ X1 @ X3))|~((in @ X1 @ X4))))|~((in @ X1 @ (binunion @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 0.20/0.51 thf(c_0_12, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ (symdiff @ X3 @ X4))|(in @ X1 @ X3)|~((in @ X1 @ (binunion @ X3 @ X4))))), inference(dynamic_cnf,[status(thm)],[c_0_11])). 0.20/0.51 thf(c_0_13, negated_conjecture, ![X1:$i, X4:$i, X3:$i]:(((in @ X1 @ (binunion @ X4 @ X3))|~((in @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_14, negated_conjecture, ~((in @ esk3_0 @ (symdiff @ esk1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i, X4:$i]:(((in @ X1 @ (symdiff @ X3 @ X4))|(in @ X1 @ X3)|~((in @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.20/0.51 thf(c_0_16, negated_conjecture, (in @ esk3_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_17, negated_conjecture, ~((in @ esk3_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.20/0.51 thf(c_0_18, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])]), c_0_17]), ['proof']). 0.20/0.51 # SZS output end CNFRefutation 0.20/0.51 # Parsed axioms : 10 0.20/0.51 # Removed by relevancy pruning/SinE : 6 0.20/0.51 # Initial clauses : 6 0.20/0.51 # Removed in clause preprocessing : 0 0.20/0.51 # Initial clauses in saturation : 6 0.20/0.51 # Processed clauses : 18 0.20/0.51 # ...of these trivial : 0 0.20/0.51 # ...subsumed : 0 0.20/0.51 # ...remaining for further processing : 18 0.20/0.51 # Other redundant clauses eliminated : 0 0.20/0.51 # Clauses deleted for lack of memory : 0 0.20/0.51 # Backward-subsumed : 0 0.20/0.51 # Backward-rewritten : 0 0.20/0.51 # Generated clauses : 9 0.20/0.51 # ...of the previous two non-redundant : 6 0.20/0.51 # ...aggressively subsumed : 0 0.20/0.51 # Contextual simplify-reflections : 0 0.20/0.51 # Paramodulations : 4 0.20/0.51 # Factorizations : 0 0.20/0.51 # NegExts : 0 0.20/0.51 # Equation resolutions : 0 0.20/0.51 # Disequality decompositions : 0 0.20/0.51 # Total rewrite steps : 2 0.20/0.51 # ...of those cached : 0 0.20/0.51 # Propositional unsat checks : 0 0.20/0.51 # Propositional check models : 0 0.20/0.51 # Propositional check unsatisfiable : 0 0.20/0.51 # Propositional clauses : 0 0.20/0.51 # Propositional clauses after purity: 0 0.20/0.51 # Propositional unsat core size : 0 0.20/0.51 # Propositional preprocessing time : 0.000 0.20/0.51 # Propositional encoding time : 0.000 0.20/0.51 # Propositional solver time : 0.000 0.20/0.51 # Success case prop preproc time : 0.000 0.20/0.51 # Success case prop encoding time : 0.000 0.20/0.51 # Success case prop solver time : 0.000 0.20/0.51 # Current number of processed clauses : 11 0.20/0.51 # Positive orientable unit clauses : 4 0.20/0.51 # Positive unorientable unit clauses: 0 0.20/0.51 # Negative unit clauses : 2 0.20/0.51 # Non-unit-clauses : 5 0.20/0.51 # Current number of unprocessed clauses: 0 0.20/0.51 # ...number of literals in the above : 0 0.20/0.51 # Current number of archived formulas : 0 0.20/0.51 # Current number of archived clauses : 7 0.20/0.51 # Clause-clause subsumption calls (NU) : 10 0.20/0.51 # Rec. Clause-clause subsumption calls : 8 0.20/0.51 # Non-unit clause-clause subsumptions : 0 0.20/0.51 # Unit Clause-clause subsumption calls : 0 0.20/0.51 # Rewrite failures with RHS unbound : 0 0.20/0.51 # BW rewrite match attempts : 1 0.20/0.51 # BW rewrite match successes : 0 0.20/0.51 # Condensation attempts : 18 0.20/0.51 # Condensation successes : 0 0.20/0.51 # Termbank termtop insertions : 1107 0.20/0.51 # Search garbage collected termcells : 239 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.005 s 0.20/0.51 # System time : 0.002 s 0.20/0.51 # Total time : 0.007 s 0.20/0.51 # Maximum resident set size: 1932 pages 0.20/0.51 0.20/0.51 # ------------------------------------------------- 0.20/0.51 # User time : 0.008 s 0.20/0.51 # System time : 0.003 s 0.20/0.51 # Total time : 0.010 s 0.20/0.51 # Maximum resident set size: 1720 pages 0.20/0.51 % E exiting 0.20/0.51 % E exiting 0.20/0.51 EOF