0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.02/0.23 % Computer : n120.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:18:27 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 # Version: 2.2pre001 0.02/0.23 # No SInE strategy applied 0.02/0.23 # Trying AutoSched0 for 151 seconds 2.74/3.02 # AutoSched0-Mode selected heuristic G_E___208_C41_F1_AE_CS_SP_PS_S00 2.74/3.02 # and selection function NoSelection. 2.74/3.02 # 2.74/3.02 # Preprocessing time : 0.008 s 2.74/3.02 # Presaturation interreduction done 2.74/3.02 2.74/3.02 # Proof found! 2.74/3.02 # SZS status Theorem 2.74/3.02 # SZS output start CNFRefutation 2.74/3.02 fof(sos05, axiom, ![X3, X4, X1, X2]:product(product(X2,X4),product(X1,X3))=product(product(X2,X1),product(X4,X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos05)). 2.74/3.02 fof(sos06, axiom, ![X2]:X2=product(X2,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos06)). 2.74/3.02 fof(sos04, axiom, ![X1, X2]:product(quotient(X2,X1),X1)=X2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos04)). 2.74/3.02 fof(sos03, axiom, ![X1, X2]:quotient(product(X2,X1),X1)=X2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos03)). 2.74/3.02 fof(sos02, axiom, ![X1, X2]:X1=product(X2,difference(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos02)). 2.74/3.02 fof(sos07, axiom, ![X1, X2]:X1=product(product(product(X2,X1),X1),product(X1,product(X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos07)). 2.74/3.02 fof(sos01, axiom, ![X1, X2]:X1=difference(X2,product(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos01)). 2.74/3.02 fof(sos09, axiom, product(product(a,c),product(c,b))=product(a,b), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos09)). 2.74/3.02 fof(goals, conjecture, ![X5]:bigC(a,b,X5)=bigC(c,c,X5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals)). 2.74/3.02 fof(sos08, axiom, ![X4, X1, X2]:product(product(X2,X1),product(X4,X2))=bigC(X2,X1,X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos08)). 2.74/3.02 fof(c_0_10, plain, ![X8, X9, X10, X11]:product(product(X11,X9),product(X10,X8))=product(product(X11,X10),product(X9,X8)), inference(variable_rename,[status(thm)],[sos05])). 2.74/3.02 fof(c_0_11, plain, ![X18]:X18=product(X18,X18), inference(variable_rename,[status(thm)],[sos06])). 2.74/3.02 cnf(c_0_12, plain, (product(product(X1,X2),product(X3,X4))=product(product(X1,X3),product(X2,X4))), inference(split_conjunct,[status(thm)],[c_0_10])). 2.74/3.02 cnf(c_0_13, plain, (X1=product(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_11])). 2.74/3.02 fof(c_0_14, plain, ![X23, X24]:product(quotient(X24,X23),X23)=X24, inference(variable_rename,[status(thm)],[sos04])). 2.74/3.02 fof(c_0_15, plain, ![X16, X17]:quotient(product(X17,X16),X16)=X17, inference(variable_rename,[status(thm)],[sos03])). 2.74/3.02 cnf(c_0_16, plain, (product(product(X1,X2),product(X3,X2))=product(product(X1,X3),X2)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 2.74/3.02 cnf(c_0_17, plain, (product(quotient(X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_14])). 2.74/3.02 fof(c_0_18, plain, ![X21, X22]:X21=product(X22,difference(X22,X21)), inference(variable_rename,[status(thm)],[sos02])). 2.74/3.02 fof(c_0_19, plain, ![X19, X20]:X19=product(product(product(X20,X19),X19),product(X19,product(X19,X20))), inference(variable_rename,[status(thm)],[sos07])). 2.74/3.02 cnf(c_0_20, plain, (quotient(product(X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_15])). 2.74/3.02 cnf(c_0_21, plain, (product(product(X1,X2),X1)=product(X1,product(X2,X1))), inference(spm,[status(thm)],[c_0_16, c_0_13])). 2.74/3.02 cnf(c_0_22, plain, (product(product(quotient(X1,X2),X3),X2)=product(X1,product(X3,X2))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 2.74/3.02 fof(c_0_23, plain, ![X6, X7]:X6=difference(X7,product(X7,X6)), inference(variable_rename,[status(thm)],[sos01])). 2.74/3.02 cnf(c_0_24, plain, (X1=product(X2,difference(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_18])). 2.74/3.02 cnf(c_0_25, plain, (X1=product(product(product(X2,X1),X1),product(X1,product(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 2.74/3.02 cnf(c_0_26, plain, (quotient(product(X1,product(X2,X1)),X1)=product(X1,X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 2.74/3.02 cnf(c_0_27, plain, (quotient(product(X1,product(X2,X3)),X3)=product(quotient(X1,X3),X2)), inference(spm,[status(thm)],[c_0_20, c_0_22])). 2.74/3.02 cnf(c_0_28, plain, (product(product(a,c),product(c,b))=product(a,b)), inference(split_conjunct,[status(thm)],[sos09])). 2.74/3.02 cnf(c_0_29, plain, (X1=difference(X2,product(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 2.74/3.02 cnf(c_0_30, plain, (product(X1,product(difference(X1,X2),X1))=product(X2,X1)), inference(spm,[status(thm)],[c_0_21, c_0_24])). 2.74/3.02 cnf(c_0_31, plain, (quotient(X1,product(X1,product(X1,X2)))=product(product(X2,X1),X1)), inference(spm,[status(thm)],[c_0_20, c_0_25])). 2.74/3.02 cnf(c_0_32, plain, (quotient(product(X1,X2),X1)=product(X1,quotient(X2,X1))), inference(spm,[status(thm)],[c_0_26, c_0_17])). 2.74/3.02 cnf(c_0_33, plain, (product(quotient(product(a,c),b),c)=a), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_20])). 2.74/3.02 cnf(c_0_34, plain, (difference(X1,product(X2,X1))=product(difference(X1,X2),X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])). 2.74/3.02 cnf(c_0_35, plain, (product(product(difference(X1,X2),X1),X1)=quotient(X1,product(X1,X2))), inference(spm,[status(thm)],[c_0_31, c_0_24])). 2.74/3.02 cnf(c_0_36, plain, (product(X1,quotient(difference(X1,X2),X1))=quotient(X2,X1)), inference(spm,[status(thm)],[c_0_32, c_0_24])). 2.74/3.02 cnf(c_0_37, plain, (difference(product(X1,X2),product(X1,product(X2,X1)))=X1), inference(spm,[status(thm)],[c_0_29, c_0_21])). 2.74/3.02 cnf(c_0_38, plain, (product(product(a,c),product(product(c,a),product(b,c)))=product(a,product(b,c))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_28]), c_0_12]), c_0_12]), c_0_13])). 2.74/3.02 cnf(c_0_39, plain, (quotient(product(a,c),b)=quotient(a,c)), inference(spm,[status(thm)],[c_0_20, c_0_33])). 2.74/3.02 cnf(c_0_40, plain, (difference(X1,quotient(X1,product(X1,X2)))=quotient(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_34]), c_0_35]), c_0_24])). 2.74/3.02 cnf(c_0_41, plain, (difference(quotient(X1,X2),X1)=X2), inference(spm,[status(thm)],[c_0_29, c_0_17])). 2.74/3.02 cnf(c_0_42, plain, (quotient(difference(X1,X2),X1)=difference(X1,quotient(X2,X1))), inference(spm,[status(thm)],[c_0_29, c_0_36])). 2.74/3.02 cnf(c_0_43, plain, (quotient(X1,difference(X2,X1))=X2), inference(spm,[status(thm)],[c_0_20, c_0_24])). 2.74/3.02 cnf(c_0_44, plain, (difference(product(a,b),product(a,product(b,c)))=product(a,c)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_28]), c_0_12]), c_0_38])). 2.74/3.02 cnf(c_0_45, plain, (product(quotient(a,c),b)=product(a,c)), inference(spm,[status(thm)],[c_0_17, c_0_39])). 2.74/3.02 cnf(c_0_46, plain, (quotient(X1,product(X1,X2))=product(X1,quotient(X1,X2))), inference(spm,[status(thm)],[c_0_24, c_0_40])). 2.74/3.02 cnf(c_0_47, plain, (difference(product(product(X1,X2),X2),X2)=product(X2,product(X2,X1))), inference(spm,[status(thm)],[c_0_29, c_0_25])). 2.74/3.02 cnf(c_0_48, plain, (difference(difference(X1,quotient(X2,X1)),difference(X1,X2))=X1), inference(spm,[status(thm)],[c_0_41, c_0_42])). 2.74/3.02 cnf(c_0_49, plain, (difference(product(a,c),product(a,product(b,c)))=product(product(c,a),product(b,c))), inference(spm,[status(thm)],[c_0_29, c_0_38])). 2.74/3.02 cnf(c_0_50, plain, (quotient(product(a,product(b,c)),product(a,c))=product(a,b)), inference(spm,[status(thm)],[c_0_43, c_0_44])). 2.74/3.02 cnf(c_0_51, plain, (difference(product(a,c),product(a,b))=product(c,b)), inference(spm,[status(thm)],[c_0_29, c_0_28])). 2.74/3.02 cnf(c_0_52, plain, (product(product(a,c),c)=product(a,product(b,c))), inference(spm,[status(thm)],[c_0_22, c_0_45])). 2.74/3.02 cnf(c_0_53, plain, (difference(product(X1,quotient(X1,X2)),X1)=product(X1,X2)), inference(spm,[status(thm)],[c_0_41, c_0_46])). 2.74/3.02 cnf(c_0_54, plain, (product(X1,product(X1,quotient(X2,X1)))=difference(product(X2,X1),X1)), inference(spm,[status(thm)],[c_0_47, c_0_17])). 2.74/3.02 cnf(c_0_55, plain, (product(product(X1,X2),product(X1,X3))=product(X1,product(X2,X3))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 2.74/3.02 cnf(c_0_56, plain, (difference(product(c,b),product(product(c,a),product(b,c)))=product(a,c)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])). 2.74/3.02 cnf(c_0_57, plain, (product(product(c,a),product(b,c))=c), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_52]), c_0_49])). 2.74/3.02 cnf(c_0_58, plain, (difference(product(X1,X2),X1)=product(X1,difference(X2,X1))), inference(spm,[status(thm)],[c_0_53, c_0_43])). 2.74/3.02 cnf(c_0_59, plain, (quotient(difference(product(X1,X2),X2),X2)=difference(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_54]), c_0_32]), c_0_54]), c_0_17])). 2.74/3.02 cnf(c_0_60, plain, (product(X1,product(X2,difference(X1,X3)))=product(product(X1,X2),X3)), inference(spm,[status(thm)],[c_0_55, c_0_24])). 2.74/3.02 cnf(c_0_61, plain, (product(c,difference(b,c))=product(a,c)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57]), c_0_58])). 2.74/3.02 cnf(c_0_62, plain, (difference(product(X1,X2),X2)=product(difference(X1,X2),X2)), inference(spm,[status(thm)],[c_0_17, c_0_59])). 2.74/3.02 cnf(c_0_63, plain, (product(product(b,c),c)=product(b,product(a,c))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 2.74/3.02 cnf(c_0_64, plain, (quotient(X1,product(difference(X2,X1),X1))=product(X2,X1)), inference(spm,[status(thm)],[c_0_43, c_0_62])). 2.74/3.02 fof(c_0_65, negated_conjecture, ~(![X5]:bigC(a,b,X5)=bigC(c,c,X5)), inference(assume_negation,[status(cth)],[goals])). 2.74/3.02 cnf(c_0_66, plain, (product(product(b,c),product(a,b))=c), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_63]), c_0_12]), c_0_28])). 2.74/3.02 cnf(c_0_67, plain, (quotient(product(product(c,a),product(b,c)),product(a,c))=product(c,b)), inference(spm,[status(thm)],[c_0_43, c_0_56])). 2.74/3.02 cnf(c_0_68, plain, (quotient(X1,product(X2,X1))=product(quotient(X1,X2),X1)), inference(spm,[status(thm)],[c_0_64, c_0_41])). 2.74/3.02 fof(c_0_69, negated_conjecture, bigC(a,b,esk1_0)!=bigC(c,c,esk1_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])). 2.74/3.02 fof(c_0_70, plain, ![X13, X14, X15]:product(product(X15,X14),product(X13,X15))=bigC(X15,X14,X13), inference(variable_rename,[status(thm)],[sos08])). 2.74/3.02 cnf(c_0_71, plain, (product(product(difference(X1,X2),X2),X2)=product(X2,product(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_62]), c_0_62])). 2.74/3.02 cnf(c_0_72, plain, (product(difference(b,c),c)=product(a,b)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_66]), c_0_62])). 2.74/3.02 cnf(c_0_73, plain, (product(quotient(c,a),c)=product(c,b)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_57]), c_0_68])). 2.74/3.02 cnf(c_0_74, negated_conjecture, (bigC(a,b,esk1_0)!=bigC(c,c,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_69])). 2.74/3.02 cnf(c_0_75, plain, (product(product(X1,X2),product(X3,X1))=bigC(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_70])). 2.74/3.02 cnf(c_0_76, plain, (product(product(a,b),c)=product(c,product(c,b))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 2.74/3.02 cnf(c_0_77, plain, (product(c,quotient(b,c))=quotient(c,a)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_73]), c_0_32])). 2.74/3.02 cnf(c_0_78, negated_conjecture, (product(product(c,c),product(esk1_0,c))!=product(product(a,b),product(esk1_0,a))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75]), c_0_75])). 2.74/3.02 cnf(c_0_79, plain, (product(product(X1,quotient(X2,X3)),product(X4,X3))=product(product(X1,X4),X2)), inference(spm,[status(thm)],[c_0_12, c_0_17])). 2.74/3.02 cnf(c_0_80, plain, (product(c,quotient(c,a))=product(a,b)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_76]), c_0_32]), c_0_32]), c_0_77])). 2.74/3.02 cnf(c_0_81, negated_conjecture, (product(product(a,b),product(esk1_0,a))!=product(c,product(esk1_0,c))), inference(rw,[status(thm)],[c_0_78, c_0_13])). 2.74/3.02 cnf(c_0_82, plain, (product(product(a,b),product(X1,a))=product(c,product(X1,c))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_21])). 2.74/3.02 cnf(c_0_83, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])]), ['proof']). 2.74/3.02 # SZS output end CNFRefutation 2.74/3.02 # Proof object total steps : 84 2.74/3.02 # Proof object clause steps : 64 2.74/3.02 # Proof object formula steps : 20 2.74/3.02 # Proof object conjectures : 7 2.74/3.02 # Proof object clause conjectures : 4 2.74/3.02 # Proof object formula conjectures : 3 2.74/3.02 # Proof object initial clauses used : 10 2.74/3.02 # Proof object initial formulas used : 10 2.74/3.02 # Proof object generating inferences : 48 2.74/3.02 # Proof object simplifying inferences : 34 2.74/3.02 # Training examples: 0 positive, 0 negative 2.74/3.02 # Parsed axioms : 10 2.74/3.02 # Removed by relevancy pruning/SinE : 0 2.74/3.02 # Initial clauses : 10 2.74/3.02 # Removed in clause preprocessing : 1 2.74/3.02 # Initial clauses in saturation : 9 2.74/3.02 # Processed clauses : 2322 2.74/3.02 # ...of these trivial : 942 2.74/3.02 # ...subsumed : 66 2.74/3.02 # ...remaining for further processing : 1314 2.74/3.02 # Other redundant clauses eliminated : 0 2.74/3.02 # Clauses deleted for lack of memory : 0 2.74/3.02 # Backward-subsumed : 0 2.74/3.02 # Backward-rewritten : 475 2.74/3.02 # Generated clauses : 226755 2.74/3.02 # ...of the previous two non-trivial : 214628 2.74/3.02 # Contextual simplify-reflections : 0 2.74/3.02 # Paramodulations : 226755 2.74/3.02 # Factorizations : 0 2.74/3.02 # Equation resolutions : 0 2.74/3.02 # Propositional unsat checks : 0 2.74/3.02 # Propositional check models : 0 2.74/3.02 # Propositional check unsatisfiable : 0 2.74/3.02 # Propositional clauses : 0 2.74/3.02 # Propositional clauses after purity: 0 2.74/3.02 # Propositional unsat core size : 0 2.74/3.02 # Current number of processed clauses : 830 2.74/3.02 # Positive orientable unit clauses : 821 2.74/3.02 # Positive unorientable unit clauses: 9 2.74/3.02 # Negative unit clauses : 0 2.74/3.02 # Non-unit-clauses : 0 2.74/3.02 # Current number of unprocessed clauses: 132851 2.74/3.02 # ...number of literals in the above : 132851 2.74/3.02 # Current number of archived formulas : 0 2.74/3.02 # Current number of archived clauses : 485 2.74/3.02 # Clause-clause subsumption calls (NU) : 0 2.74/3.02 # Rec. Clause-clause subsumption calls : 0 2.74/3.02 # Non-unit clause-clause subsumptions : 0 2.74/3.02 # Unit Clause-clause subsumption calls : 219 2.74/3.02 # Rewrite failures with RHS unbound : 0 2.74/3.02 # BW rewrite match attempts : 6080 2.74/3.02 # BW rewrite match successes : 475 2.74/3.02 # Condensation attempts : 0 2.74/3.02 # Condensation successes : 0 2.74/3.02 # Termbank termtop insertions : 5217706 2.84/3.03 2.84/3.03 # ------------------------------------------------- 2.84/3.03 # User time : 2.682 s 2.84/3.03 # System time : 0.117 s 2.84/3.03 # Total time : 2.799 s 2.84/3.03 # Maximum resident set size: 1476 pages 2.84/3.03 EOF