0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_E %s %d THM 0.13/0.32 % Computer : n025.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.32 % CPULimit : 960 0.13/0.32 % WCLimit : 120 0.13/0.32 % DateTime : Tue Aug 9 03:04:26 EDT 2022 0.13/0.32 % CPUTime : 0.17/0.45 Running higher-order on 8 cores theorem proving 0.17/0.45 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.45 # Version: 3.0pre003-ho 0.17/0.45 # Preprocessing class: HSSSSMSSSLMNSFN. 0.17/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.45 # Starting new_ho_10 with 600s (5) cores 0.17/0.45 # Starting sh5l with 120s (1) cores 0.17/0.45 # Starting ehoh_best_sine_rwall with 120s (1) cores 0.17/0.45 # Starting lpo1_def_fix with 120s (1) cores 0.17/0.45 # sh5l with pid 24190 completed with status 0 0.17/0.45 # Result found by sh5l 0.17/0.45 # Preprocessing class: HSSSSMSSSLMNSFN. 0.17/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.45 # Starting new_ho_10 with 600s (5) cores 0.17/0.45 # Starting sh5l with 120s (1) cores 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000 0.17/0.45 # ...ProofStateSinE()=5/14 0.17/0.45 # Search class: HUUNF-FFSF32-DSFFMFBN 0.17/0.45 # partial match(4): HGUNF-FFSF32-SFFFMFNN 0.17/0.45 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.17/0.45 # Starting new_ho_10 with 73s (1) cores 0.17/0.45 # new_ho_10 with pid 24193 completed with status 0 0.17/0.45 # Result found by new_ho_10 0.17/0.45 # Preprocessing class: HSSSSMSSSLMNSFN. 0.17/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.45 # Starting new_ho_10 with 600s (5) cores 0.17/0.45 # Starting sh5l with 120s (1) cores 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000 0.17/0.45 # ...ProofStateSinE()=5/14 0.17/0.45 # Search class: HUUNF-FFSF32-DSFFMFBN 0.17/0.45 # partial match(4): HGUNF-FFSF32-SFFFMFNN 0.17/0.45 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.17/0.45 # Starting new_ho_10 with 73s (1) cores 0.17/0.45 # Preprocessing time : 0.001 s 0.17/0.45 # Presaturation interreduction done 0.17/0.45 0.17/0.45 # Proof found! 0.17/0.45 # SZS status Theorem 0.17/0.45 # SZS output start CNFRefutation 0.17/0.45 thf(decl_22, type, in: $i > $i > $o). 0.17/0.45 thf(decl_23, type, subset: $i > $i > $o). 0.17/0.45 thf(decl_24, type, kpair: $i > $i > $i). 0.17/0.45 thf(decl_25, type, cartprod: $i > $i > $i). 0.17/0.45 thf(decl_26, type, breln: $i > $i > $i > $o). 0.17/0.45 thf(decl_27, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.17/0.45 thf(decl_28, type, breln1: $i > $i > $o). 0.17/0.45 thf(decl_29, type, setOfPairsIsBReln1: $o). 0.17/0.45 thf(decl_30, type, breln1compset: $i > $i > $i > $i). 0.17/0.45 thf(decl_31, type, esk1_0: $i). 0.17/0.45 thf(decl_32, type, esk2_0: $i). 0.17/0.45 thf(decl_33, type, esk3_0: $i). 0.17/0.45 thf(breln1, axiom, ((breln1)=(^[X1:$i, X4:$i]:((breln @ X1 @ X1 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln1)). 0.17/0.45 thf(breln, axiom, ((breln)=(^[X1:$i, X2:$i, X3:$i]:((subset @ X3 @ (cartprod @ X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln)). 0.17/0.45 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X1:$i, X5:$i > $i > $o]:((breln1 @ X1 @ (dpsetconstr @ X1 @ X1 @ (^[X6:$i, X7:$i]:((X5 @ X6 @ X7))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setOfPairsIsBReln1)). 0.17/0.45 thf(breln1compset, axiom, ((breln1compset)=(^[X1:$i, X4:$i, X8:$i]:(dpsetconstr @ X1 @ X1 @ (^[X6:$i, X7:$i]:(?[X9:$i]:((((in @ X9 @ X1)&(in @ (kpair @ X6 @ X9) @ X4))&(in @ (kpair @ X9 @ X7) @ X8)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln1compset)). 0.17/0.45 thf(breln1compprop, conjecture, ((setOfPairsIsBReln1)=>![X1:$i, X4:$i]:((![X8:$i]:(((breln1 @ X1 @ (breln1compset @ X1 @ X4 @ X8))<=(breln1 @ X1 @ X8)))<=(breln1 @ X1 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln1compprop)). 0.17/0.45 thf(c_0_5, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])). 0.17/0.45 thf(c_0_6, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.17/0.45 thf(c_0_7, plain, ((setOfPairsIsBReln1)<=>![X1:$i, X5:$i > $i > $o]:((breln1 @ X1 @ (dpsetconstr @ X1 @ X1 @ (^[Z0:$i, Z1:$i]:((X5 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])). 0.17/0.45 thf(c_0_8, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_5, c_0_6])). 0.17/0.45 thf(c_0_9, plain, ((breln1compset)=(^[Z0:$i, Z1:$i, Z2:$i]:(dpsetconstr @ Z0 @ Z0 @ (^[Z3:$i, Z4:$i]:(?[X9:$i]:((((in @ X9 @ Z0)&(in @ (kpair @ Z3 @ X9) @ Z1))&(in @ (kpair @ X9 @ Z4) @ Z2)))))))), inference(fof_simplification,[status(thm)],[breln1compset])). 0.17/0.45 thf(c_0_10, plain, ((setOfPairsIsBReln1)=(![X1:$i, X5:$i > $i > $o]:(((subset @ (dpsetconstr @ X1 @ X1 @ (^[Z0:$i, Z1:$i]:((X5 @ Z0 @ Z1)))) @ (cartprod @ X1 @ X1)))))), inference(apply_def,[status(thm)],[c_0_7, c_0_8])). 0.17/0.45 thf(c_0_11, negated_conjecture, ~((![X15:$i, X16:$i > $i > $o]:((subset @ (dpsetconstr @ X15 @ X15 @ (^[Z0:$i, Z1:$i]:((X16 @ Z0 @ Z1)))) @ (cartprod @ X15 @ X15)))=>![X1:$i, X4:$i]:(((subset @ X4 @ (cartprod @ X1 @ X1))=>![X8:$i]:(((subset @ X8 @ (cartprod @ X1 @ X1))=>(subset @ (dpsetconstr @ X1 @ X1 @ (^[Z0:$i, Z1:$i]:(?[X17:$i]:((((in @ X17 @ X1)&(in @ (kpair @ Z0 @ X17) @ X4))&(in @ (kpair @ X17 @ Z1) @ X8)))))) @ (cartprod @ X1 @ X1)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1compprop]), c_0_8]), c_0_9]), c_0_10])])). 0.17/0.45 thf(c_0_12, negated_conjecture, ![X18:$i, X19:$i > $i > $o]:(((subset @ (dpsetconstr @ X18 @ X18 @ (^[Z0:$i, Z1:$i]:((X19 @ Z0 @ Z1)))) @ (cartprod @ X18 @ X18))&((subset @ esk2_0 @ (cartprod @ esk1_0 @ esk1_0))&((subset @ esk3_0 @ (cartprod @ esk1_0 @ esk1_0))&~(subset @ (dpsetconstr @ esk1_0 @ esk1_0 @ (^[Z0:$i, Z1:$i]:(?[X17:$i]:((((in @ X17 @ esk1_0)&(in @ (kpair @ Z0 @ X17) @ esk2_0))&(in @ (kpair @ X17 @ Z1) @ esk3_0)))))) @ (cartprod @ esk1_0 @ esk1_0)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])). 0.17/0.45 thf(c_0_13, negated_conjecture, ~((subset @ (dpsetconstr @ esk1_0 @ esk1_0 @ (^[Z0:$i, Z1:$i]:(?[X23:$i]:((((in @ X23 @ esk1_0)&(in @ (kpair @ Z0 @ X23) @ esk2_0))&(in @ (kpair @ X23 @ Z1) @ esk3_0)))))) @ (cartprod @ esk1_0 @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.17/0.45 thf(c_0_14, negated_conjecture, ![X5:$i > $i > $o, X1:$i]:((subset @ (dpsetconstr @ X1 @ X1 @ X5) @ (cartprod @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.17/0.45 thf(c_0_15, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_13, c_0_14]), ['proof']). 0.17/0.45 # SZS output end CNFRefutation 0.17/0.45 # Parsed axioms : 14 0.17/0.45 # Removed by relevancy pruning/SinE : 9 0.17/0.45 # Initial clauses : 4 0.17/0.45 # Removed in clause preprocessing : 0 0.17/0.45 # Initial clauses in saturation : 4 0.17/0.45 # Processed clauses : 8 0.17/0.45 # ...of these trivial : 0 0.17/0.45 # ...subsumed : 0 0.17/0.45 # ...remaining for further processing : 8 0.17/0.45 # Other redundant clauses eliminated : 0 0.17/0.45 # Clauses deleted for lack of memory : 0 0.17/0.45 # Backward-subsumed : 0 0.17/0.45 # Backward-rewritten : 0 0.17/0.45 # Generated clauses : 1 0.17/0.45 # ...of the previous two non-redundant : 0 0.17/0.45 # ...aggressively subsumed : 0 0.17/0.45 # Contextual simplify-reflections : 0 0.17/0.45 # Paramodulations : 1 0.17/0.45 # Factorizations : 0 0.17/0.45 # NegExts : 0 0.17/0.45 # Equation resolutions : 0 0.17/0.45 # Propositional unsat checks : 0 0.17/0.45 # Propositional check models : 0 0.17/0.45 # Propositional check unsatisfiable : 0 0.17/0.45 # Propositional clauses : 0 0.17/0.45 # Propositional clauses after purity: 0 0.17/0.45 # Propositional unsat core size : 0 0.17/0.45 # Propositional preprocessing time : 0.000 0.17/0.45 # Propositional encoding time : 0.000 0.17/0.45 # Propositional solver time : 0.000 0.17/0.45 # Success case prop preproc time : 0.000 0.17/0.45 # Success case prop encoding time : 0.000 0.17/0.45 # Success case prop solver time : 0.000 0.17/0.45 # Current number of processed clauses : 4 0.17/0.45 # Positive orientable unit clauses : 3 0.17/0.45 # Positive unorientable unit clauses: 0 0.17/0.45 # Negative unit clauses : 1 0.17/0.45 # Non-unit-clauses : 0 0.17/0.45 # Current number of unprocessed clauses: 0 0.17/0.45 # ...number of literals in the above : 0 0.17/0.45 # Current number of archived formulas : 0 0.17/0.45 # Current number of archived clauses : 4 0.17/0.45 # Clause-clause subsumption calls (NU) : 0 0.17/0.45 # Rec. Clause-clause subsumption calls : 0 0.17/0.45 # Non-unit clause-clause subsumptions : 0 0.17/0.45 # Unit Clause-clause subsumption calls : 0 0.17/0.45 # Rewrite failures with RHS unbound : 0 0.17/0.45 # BW rewrite match attempts : 0 0.17/0.45 # BW rewrite match successes : 0 0.17/0.45 # Condensation attempts : 8 0.17/0.45 # Condensation successes : 0 0.17/0.45 # Termbank termtop insertions : 671 0.17/0.45 0.17/0.45 # ------------------------------------------------- 0.17/0.45 # User time : 0.004 s 0.17/0.45 # System time : 0.001 s 0.17/0.45 # Total time : 0.004 s 0.17/0.45 # Maximum resident set size: 1808 pages 0.17/0.45 0.17/0.45 # ------------------------------------------------- 0.17/0.45 # User time : 0.005 s 0.17/0.45 # System time : 0.003 s 0.17/0.45 # Total time : 0.008 s 0.17/0.45 # Maximum resident set size: 1732 pages 0.17/0.46 EOF