0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.02/0.24 % Computer : n133.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:44:24 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.31 openjdk version "1.8.0_144" 0.07/0.31 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.07/0.31 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.16/0.43 start to proof:theBenchmark.p 0.16/0.55 % Version : CSE_E---1.0 0.16/0.55 % Problem : theBenchmark.p 0.16/0.55 % Proof found! 0.16/0.55 % SZS status Theorem for theBenchmark.p 0.16/0.55 % SZS output start Proof 0.16/0.55 fof(sos03, axiom, (![X7]:![X8]:((X8=product(X8,X7)&X7=product(X7,X8))<=>l(X7,X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos03)). 0.16/0.55 fof(sos05, axiom, (![X1]:![X2]:(?[X3]:(l(X3,X2)&r(X1,X3))<=>d(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos05)). 0.16/0.55 fof(sos04, axiom, (![X9]:![X10]:((X9=product(X10,X9)&X10=product(X9,X10))<=>r(X9,X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos04)). 0.16/0.55 fof(sos01, axiom, (![X4]:![X5]:![X6]:product(product(X6,X5),X4)=product(X6,product(X5,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos01)). 0.16/0.55 fof(sos02, axiom, (![X6]:product(X6,X6)=X6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos02)). 0.16/0.55 fof(goals, conjecture, (![X11]:![X12]:(d(X11,X12)<=>(X12=product(X12,product(X11,X12))&X11=product(X11,product(X12,X11))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)). 0.16/0.55 fof(c_0_6, plain, (![X9]:![X10]:![X9]:![X10]:(((X10!=product(X10,X9)|X9!=product(X9,X10))|l(X9,X10))&((X10=product(X10,X9)|~l(X9,X10))&(X9=product(X9,X10)|~l(X9,X10))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos03])])])])])). 0.16/0.55 fof(c_0_7, plain, (![X4]:![X5]:![X6]:![X4]:![X5]:(((~l(X6,X5)|~r(X4,X6))|d(X4,X5))&((l(esk1_2(X4,X5),X5)|~d(X4,X5))&(r(X4,esk1_2(X4,X5))|~d(X4,X5))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos05])])])])])])])). 0.16/0.55 fof(c_0_8, plain, (![X11]:![X12]:![X11]:![X12]:(((X11!=product(X12,X11)|X12!=product(X11,X12))|r(X11,X12))&((X11=product(X12,X11)|~r(X11,X12))&(X12=product(X11,X12)|~r(X11,X12))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos04])])])])])). 0.16/0.55 fof(c_0_9, plain, (![X7]:![X8]:![X9]:product(product(X9,X8),X7)=product(X9,product(X8,X7))), inference(variable_rename,[status(thm)],[sos01])). 0.16/0.55 cnf(c_0_10,plain,(X1=product(X1,X2)|~l(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.16/0.55 cnf(c_0_11,plain,(l(esk1_2(X1,X2),X2)|~d(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.16/0.55 fof(c_0_12, plain, (![X7]:product(X7,X7)=X7), inference(variable_rename,[status(thm)],[sos02])). 0.16/0.55 cnf(c_0_13,plain,(X1=product(X2,X1)|~r(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.16/0.55 cnf(c_0_14,plain,(r(X1,esk1_2(X1,X2))|~d(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.16/0.55 cnf(c_0_15,plain,(product(product(X1,X2),X3)=product(X1,product(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.16/0.55 cnf(c_0_16,plain,(product(esk1_2(X1,X2),X2)=esk1_2(X1,X2)|~d(X1,X2)), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.16/0.55 cnf(c_0_17,plain,(product(X1,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_12])). 0.16/0.55 cnf(c_0_18,plain,(product(esk1_2(X1,X2),X1)=X1|~d(X1,X2)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.16/0.55 cnf(c_0_19,plain,(product(esk1_2(X1,X2),product(X2,X3))=product(esk1_2(X1,X2),X3)|~d(X1,X2)), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.16/0.55 cnf(c_0_20,plain,(product(X1,product(X2,product(X1,X2)))=product(X1,X2)), inference(spm,[status(thm)],[c_0_17, c_0_15])). 0.16/0.55 cnf(c_0_21,plain,(product(X1,product(X1,X2))=product(X1,X2)), inference(spm,[status(thm)],[c_0_15, c_0_17])). 0.16/0.55 cnf(c_0_22,plain,(X2=product(X1,X2)|~r(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.16/0.55 cnf(c_0_23,plain,(product(esk1_2(X1,X2),product(X1,X3))=product(X1,X3)|~d(X1,X2)), inference(spm,[status(thm)],[c_0_15, c_0_18])). 0.16/0.55 cnf(c_0_24,plain,(product(esk1_2(X1,X2),product(X3,product(X2,X3)))=product(esk1_2(X1,X2),product(X2,X3))|~d(X1,X2)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.16/0.55 cnf(c_0_25,plain,(product(X1,product(X2,product(X1,product(X2,X3))))=product(X1,product(X2,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_21]), c_0_15]), c_0_15])). 0.16/0.55 cnf(c_0_26,plain,(product(X1,esk1_2(X1,X2))=esk1_2(X1,X2)|~d(X1,X2)), inference(spm,[status(thm)],[c_0_22, c_0_14])). 0.16/0.55 cnf(c_0_27,plain,(X2=product(X2,X1)|~l(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.16/0.55 fof(c_0_28, negated_conjecture, (~(![X11]:![X12]:(d(X11,X12)<=>(X12=product(X12,product(X11,X12))&X11=product(X11,product(X12,X11)))))), inference(assume_negation,[status(cth)],[goals])). 0.16/0.55 cnf(c_0_29,plain,(product(esk1_2(X1,X2),product(X2,X1))=product(X1,product(X2,X1))|~d(X1,X2)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.16/0.55 cnf(c_0_30,plain,(product(X1,product(X2,product(X1,esk1_2(X2,X3))))=product(X1,esk1_2(X2,X3))|~d(X2,X3)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.16/0.55 cnf(c_0_31,plain,(product(X1,esk1_2(X2,X1))=X1|~d(X2,X1)), inference(spm,[status(thm)],[c_0_27, c_0_11])). 0.16/0.55 fof(c_0_32, negated_conjecture, (((~d(esk2_0,esk3_0)|(esk3_0!=product(esk3_0,product(esk2_0,esk3_0))|esk2_0!=product(esk2_0,product(esk3_0,esk2_0))))&((esk3_0=product(esk3_0,product(esk2_0,esk3_0))|d(esk2_0,esk3_0))&(esk2_0=product(esk2_0,product(esk3_0,esk2_0))|d(esk2_0,esk3_0))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])). 0.16/0.55 cnf(c_0_33,plain,(d(X1,X2)|~r(X1,X3)|~l(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.16/0.55 cnf(c_0_34,plain,(r(X1,X2)|X2!=product(X1,X2)|X1!=product(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.16/0.55 cnf(c_0_35,plain,(product(esk1_2(X1,X2),X1)=product(X1,product(X2,X1))|~d(X1,X2)), inference(spm,[status(thm)],[c_0_19, c_0_29])). 0.16/0.55 cnf(c_0_36,plain,(product(X1,product(X2,X1))=X1|~d(X2,X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.16/0.55 cnf(c_0_37,negated_conjecture,(d(esk2_0,esk3_0)|esk3_0=product(esk3_0,product(esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.55 cnf(c_0_38,plain,(d(X1,X2)|product(X1,X3)!=X3|product(X3,X1)!=X1|~l(X3,X2)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.16/0.55 cnf(c_0_39,plain,(product(X1,product(X2,X1))=X1|~d(X1,X2)), inference(spm,[status(thm)],[c_0_18, c_0_35])). 0.16/0.55 cnf(c_0_40,negated_conjecture,(d(esk2_0,esk3_0)|esk2_0=product(esk2_0,product(esk3_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.55 cnf(c_0_41,plain,(product(X1,product(X2,esk1_2(product(X1,X2),X3)))=esk1_2(product(X1,X2),X3)|~d(product(X1,X2),X3)), inference(spm,[status(thm)],[c_0_15, c_0_26])). 0.16/0.55 cnf(c_0_42,negated_conjecture,(esk2_0!=product(esk2_0,product(esk3_0,esk2_0))|esk3_0!=product(esk3_0,product(esk2_0,esk3_0))|~d(esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.55 cnf(c_0_43,negated_conjecture,(product(esk3_0,product(esk2_0,esk3_0))=esk3_0), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.16/0.55 cnf(c_0_44,plain,(d(X1,X2)|product(X1,product(X3,X1))!=X1|~l(product(X1,X3),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_21]), c_0_15])). 0.16/0.55 cnf(c_0_45,negated_conjecture,(product(esk2_0,product(esk3_0,esk2_0))=esk2_0), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.16/0.55 cnf(c_0_46,plain,(esk1_2(product(X1,X2),X2)=product(X1,X2)|~d(product(X1,X2),X2)), inference(spm,[status(thm)],[c_0_41, c_0_31])). 0.16/0.55 cnf(c_0_47,negated_conjecture,(product(esk2_0,product(esk3_0,esk2_0))!=esk2_0|~d(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])). 0.16/0.55 cnf(c_0_48,negated_conjecture,(d(esk2_0,X1)|~l(product(esk2_0,esk3_0),X1)), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.16/0.55 cnf(c_0_49,plain,(l(product(X1,X2),X2)|~d(product(X1,X2),X2)), inference(spm,[status(thm)],[c_0_11, c_0_46])). 0.16/0.55 cnf(c_0_50,negated_conjecture,(~d(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_45])])). 0.16/0.55 cnf(c_0_51,plain,(d(X1,X2)|~l(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_17]), c_0_17])])). 0.16/0.55 cnf(c_0_52,plain,(l(X1,X2)|X1!=product(X1,X2)|X2!=product(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.16/0.55 cnf(c_0_53,negated_conjecture,(~d(product(esk2_0,esk3_0),esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])). 0.16/0.55 cnf(c_0_54,plain,(d(X1,X2)|product(X2,X1)!=X2|product(X1,X2)!=X1), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.16/0.55 cnf(c_0_55,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_43]), c_0_15]), c_0_17])]), ['proof']). 0.16/0.55 % SZS output end Proof 0.16/0.55 % User time : 0.040 s 0.16/0.55 % System time : 0.003 s 0.16/0.55 % Total time : 0.043 s 0.16/0.55 0.46/0.57 EOF