0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.35 % Computer : n016.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 : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Jul 13 15:20:08 EDT 2021 0.13/0.35 % CPUTime : 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 # Version: 2.6rc1-ho 0.13/0.35 # No SInE strategy applied 0.13/0.35 # Trying AutoSched0 for 59 seconds 0.21/0.39 # AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.21/0.39 # and selection function SelectComplexExceptUniqMaxHorn. 0.21/0.39 # 0.21/0.39 # Preprocessing time : 0.029 s 0.21/0.39 # Presaturation interreduction done 0.21/0.39 0.21/0.39 # Proof found! 0.21/0.39 # SZS status Theorem 0.21/0.39 # SZS output start CNFRefutation 0.21/0.39 thf(cartprodmempair1, conjecture, (dsetconstrER=>![X1:$i, X5:$i, X7:$i]:(in @ X7 @ (cartprod @ X1 @ X5)=>?[X3:$i]:(in @ X3 @ X1&?[X4:$i]:((X7)=(kpair @ X3 @ X4)&in @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodmempair1)). 0.21/0.39 thf(dsetconstrER, axiom, (dsetconstrER<=>![X1:$i, X2:$i > $o, X3:$i]:(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:X2 @ X4))=>X2 @ X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)). 0.21/0.39 thf(cartprod, axiom, (cartprod)=(^[X1:$i, X5:$i]:dsetconstr @ (powerset @ (powerset @ (binunion @ X1 @ X5))) @ (^[X3:$i]:?[X4:$i]:(in @ X4 @ X1&?[X6:$i]:(in @ X6 @ X5&(X3)=(kpair @ X4 @ X6))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprod)). 0.21/0.39 thf(c_0_3, plain, ![X4:$i, X2:$i > $o]:(epred2_2 @ X2 @ X4<=>X2 @ X4), introduced(definition)). 0.21/0.39 thf(c_0_4, plain, ![X16:$i, X1:$i, X5:$i]:(epred1_3 @ X5 @ X1 @ X16<=>?[X17:$i]:(in @ X17 @ X1&?[X18:$i]:(in @ X18 @ X5&(X16)=(kpair @ X17 @ X18)))), introduced(definition)). 0.21/0.39 thf(c_0_5, negated_conjecture, ~((![X1:$i, X2:$i > $o, X3:$i]:(in @ X3 @ (dsetconstr @ X1 @ (epred2_2 @ X2))=>X2 @ X3)=>![X1:$i, X5:$i, X7:$i]:(in @ X7 @ (cartprod @ X1 @ X5)=>?[X3:$i]:(in @ X3 @ X1&?[X4:$i]:((X7)=(kpair @ X3 @ X4)&in @ X4 @ X5))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cartprodmempair1]), dsetconstrER]), c_0_3])). 0.21/0.39 thf(c_0_6, plain, ![X1:$i, X5:$i]:(cartprod @ X1 @ X5)=(dsetconstr @ (powerset @ (powerset @ (binunion @ X1 @ X5))) @ (epred1_3 @ X5 @ X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[cartprod]), c_0_4])). 0.21/0.39 thf(c_0_7, negated_conjecture, ![X23:$i, X24:$i > $o, X25:$i, X29:$i, X30:$i]:((~in @ X25 @ (dsetconstr @ X23 @ (epred2_2 @ X24))|X24 @ X25)&(in @ esk3_0 @ (cartprod @ esk1_0 @ esk2_0)&(~in @ X29 @ esk1_0|((esk3_0)!=(kpair @ X29 @ X30)|~in @ X30 @ esk2_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.21/0.39 thf(c_0_8, plain, ![X21:$i, X22:$i]:(cartprod @ X21 @ X22)=(dsetconstr @ (powerset @ (powerset @ (binunion @ X21 @ X22))) @ (epred1_3 @ X22 @ X21)), inference(variable_rename,[status(thm)],[c_0_6])). 0.21/0.39 thf(c_0_9, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(X2 @ X1|~in @ X1 @ (dsetconstr @ X3 @ (epred2_2 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.39 thf(c_0_10, plain, ![X3:$i, X1:$i]:(cartprod @ X1 @ X3)=(dsetconstr @ (powerset @ (powerset @ (binunion @ X1 @ X3))) @ (epred1_3 @ X3 @ X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.21/0.39 thf(c_0_11, plain, ![X1:$i, X2:$i > $o, X4:$i, X3:$i]:(X2 @ X1|(epred1_3 @ X3 @ X4)!=(epred2_2 @ X2)|~in @ X1 @ (cartprod @ X4 @ X3)), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_9, c_0_10])])). 0.21/0.39 thf(c_0_12, negated_conjecture, in @ esk3_0 @ (cartprod @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.39 thf(c_0_13, plain, ![X31:$i, X32:$i, X33:$i, X36:$i, X37:$i, X38:$i, X39:$i, X40:$i]:(((in @ (esk4_3 @ X31 @ X32 @ X33) @ X32|~epred1_3 @ X33 @ X32 @ X31)&((in @ (esk5_3 @ X31 @ X32 @ X33) @ X33|~epred1_3 @ X33 @ X32 @ X31)&((X31)=(kpair @ (esk4_3 @ X31 @ X32 @ X33) @ (esk5_3 @ X31 @ X32 @ X33))|~epred1_3 @ X33 @ X32 @ X31)))&(~in @ X39 @ X37|(~in @ X40 @ X38|(X36)!=(kpair @ X39 @ X40))|epred1_3 @ X38 @ X37 @ X36)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])). 0.21/0.39 thf(c_0_14, negated_conjecture, ![X2:$i > $o]:(X2 @ esk3_0|(epred2_2 @ X2)!=(epred1_3 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.21/0.39 thf(c_0_15, negated_conjecture, ![X1:$i, X3:$i]:(~in @ X1 @ esk1_0|(esk3_0)!=(kpair @ X1 @ X3)|~in @ X3 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.39 thf(c_0_16, plain, ![X4:$i, X3:$i, X1:$i]:((X1)=(kpair @ (esk4_3 @ X1 @ X3 @ X4) @ (esk5_3 @ X1 @ X3 @ X4))|~epred1_3 @ X4 @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.39 thf(c_0_17, plain, ![X41:$i, X42:$i > $o]:((~epred2_2 @ X42 @ X41|X42 @ X41)&(~X42 @ X41|epred2_2 @ X42 @ X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])). 0.21/0.39 thf(c_0_18, negated_conjecture, ![X2:$i > $o]:(X2 @ esk3_0|(epred2_2 @ X2 @ (esk7_1 @ X2))!=(epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ X2))), inference(neg_ext,[status(thm)],[c_0_14])). 0.21/0.39 thf(c_0_19, negated_conjecture, ![X3:$i, X1:$i]:(~in @ (esk5_3 @ esk3_0 @ X1 @ X3) @ esk2_0|~in @ (esk4_3 @ esk3_0 @ X1 @ X3) @ esk1_0|~epred1_3 @ X3 @ X1 @ esk3_0), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16])])). 0.21/0.39 thf(c_0_20, plain, ![X4:$i, X3:$i, X1:$i]:(in @ (esk5_3 @ X1 @ X3 @ X4) @ X4|~epred1_3 @ X4 @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.39 thf(c_0_21, plain, ![X2:$i > $o, X1:$i]:(X2 @ X1|~epred2_2 @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_17])). 0.21/0.39 thf(c_0_22, negated_conjecture, ![X2:$i > $o]:(epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ X2)|epred2_2 @ X2 @ (esk7_1 @ X2)|X2 @ esk3_0), inference(dynamic cnf,[status(thm)],[c_0_18])). 0.21/0.39 thf(c_0_23, plain, ![X1:$i]:(~in @ (esk4_3 @ esk3_0 @ X1 @ esk2_0) @ esk1_0|~epred1_3 @ esk2_0 @ X1 @ esk3_0), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.21/0.39 thf(c_0_24, plain, ![X4:$i, X3:$i, X1:$i]:(in @ (esk4_3 @ X1 @ X3 @ X4) @ X3|~epred1_3 @ X4 @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.39 thf(c_0_25, negated_conjecture, ![X2:$i > $o]:(X2 @ esk3_0|~epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ X2)|~epred2_2 @ X2 @ (esk7_1 @ X2)), inference(dynamic cnf,[status(thm)],[c_0_18])). 0.21/0.39 thf(c_0_26, plain, ![X2:$i > $o, X1:$i]:(epred2_2 @ X2 @ X1|~X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_17])). 0.21/0.39 thf(c_0_27, plain, ![X2:$i > $o]:(epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ X2)|X2 @ (esk7_1 @ X2)|X2 @ esk3_0), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.21/0.39 thf(c_0_28, plain, ~epred1_3 @ esk2_0 @ esk1_0 @ esk3_0, inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.21/0.39 thf(c_0_29, plain, ![X2:$i > $o]:(X2 @ esk3_0|~epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ X2)|~X2 @ (esk7_1 @ X2)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.21/0.39 thf(c_0_30, plain, epred1_3 @ esk2_0 @ esk1_0 @ (esk7_1 @ (epred1_3 @ esk2_0 @ esk1_0)), inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_27]), c_0_28])). 0.21/0.39 thf(c_0_31, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_30])]), c_0_28]), ['proof']). 0.21/0.39 # SZS output end CNFRefutation 0.21/0.39 # Proof object total steps : 32 0.21/0.39 # Proof object clause steps : 21 0.21/0.39 # Proof object formula steps : 11 0.21/0.39 # Proof object conjectures : 11 0.21/0.39 # Proof object clause conjectures : 8 0.21/0.39 # Proof object formula conjectures : 3 0.21/0.39 # Proof object initial clauses used : 9 0.21/0.39 # Proof object initial formulas used : 3 0.21/0.39 # Proof object generating inferences : 8 0.21/0.39 # Proof object simplifying inferences : 6 0.21/0.39 # Training examples: 0 positive, 0 negative 0.21/0.39 # Parsed axioms : 13 0.21/0.39 # Removed by relevancy pruning/SinE : 0 0.21/0.39 # Initial clauses : 20 0.21/0.39 # Removed in clause preprocessing : 9 0.21/0.39 # Initial clauses in saturation : 11 0.21/0.39 # Processed clauses : 36 0.21/0.39 # ...of these trivial : 0 0.21/0.39 # ...subsumed : 0 0.21/0.39 # ...remaining for further processing : 36 0.21/0.39 # Other redundant clauses eliminated : 3 0.21/0.39 # Clauses deleted for lack of memory : 0 0.21/0.39 # Backward-subsumed : 0 0.21/0.39 # Backward-rewritten : 0 0.21/0.39 # Generated clauses : 29 0.21/0.39 # ...of the previous two non-trivial : 23 0.21/0.39 # Contextual simplify-reflections : 0 0.21/0.39 # Paramodulations : 17 0.21/0.39 # Factorizations : 2 0.21/0.39 # NegExts : 2 0.21/0.39 # Equation resolutions : 3 0.21/0.39 # Propositional unsat checks : 0 0.21/0.39 # Propositional check models : 0 0.21/0.39 # Propositional check unsatisfiable : 0 0.21/0.39 # Propositional clauses : 0 0.21/0.39 # Propositional clauses after purity: 0 0.21/0.39 # Propositional unsat core size : 0 0.21/0.39 # Propositional preprocessing time : 0.000 0.21/0.39 # Propositional encoding time : 0.000 0.21/0.39 # Propositional solver time : 0.000 0.21/0.39 # Success case prop preproc time : 0.000 0.21/0.39 # Success case prop encoding time : 0.000 0.21/0.39 # Success case prop solver time : 0.000 0.21/0.39 # Current number of processed clauses : 22 0.21/0.39 # Positive orientable unit clauses : 4 0.21/0.39 # Positive unorientable unit clauses: 0 0.21/0.39 # Negative unit clauses : 1 0.21/0.39 # Non-unit-clauses : 17 0.21/0.39 # Current number of unprocessed clauses: 9 0.21/0.39 # ...number of literals in the above : 23 0.21/0.39 # Current number of archived formulas : 0 0.21/0.39 # Current number of archived clauses : 13 0.21/0.39 # Clause-clause subsumption calls (NU) : 80 0.21/0.39 # Rec. Clause-clause subsumption calls : 67 0.21/0.39 # Non-unit clause-clause subsumptions : 0 0.21/0.39 # Unit Clause-clause subsumption calls : 2 0.21/0.39 # Rewrite failures with RHS unbound : 0 0.21/0.39 # BW rewrite match attempts : 0 0.21/0.39 # BW rewrite match successes : 0 0.21/0.39 # Condensation attempts : 0 0.21/0.39 # Condensation successes : 0 0.21/0.39 # Termbank termtop insertions : 1694 0.21/0.39 0.21/0.39 # ------------------------------------------------- 0.21/0.39 # User time : 0.028 s 0.21/0.39 # System time : 0.007 s 0.21/0.39 # Total time : 0.035 s 0.21/0.39 # Maximum resident set size: 1644 pages 0.21/0.39 EOF