0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.03/0.23 % Computer : n159.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:18:27 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.30 openjdk version "1.8.0_144" 0.07/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.07/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.15/0.42 start to proof:theBenchmark.p 3.20/3.39 % Version : CSE_E---1.0 3.20/3.39 % Problem : theBenchmark.p 3.20/3.39 % Proof found! 3.20/3.39 % SZS status Theorem for theBenchmark.p 3.20/3.39 % SZS output start Proof 3.20/3.39 fof(sos05, axiom, (![X3]:![X4]:![X1]:![X2]:product(product(X2,X4),product(X1,X3))=product(product(X2,X1),product(X4,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos05)). 3.20/3.39 fof(sos06, axiom, (![X2]:X2=product(X2,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos06)). 3.20/3.39 fof(sos04, axiom, (![X1]:![X2]:product(quotient(X2,X1),X1)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos04)). 3.20/3.39 fof(sos03, axiom, (![X1]:![X2]:quotient(product(X2,X1),X1)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos03)). 3.20/3.39 fof(sos02, axiom, (![X1]:![X2]:X1=product(X2,difference(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos02)). 3.20/3.39 fof(sos07, axiom, (![X1]:![X2]:X1=product(product(product(X2,X1),X1),product(X1,product(X1,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos07)). 3.20/3.39 fof(sos01, axiom, (![X1]:![X2]:X1=difference(X2,product(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos01)). 3.20/3.39 fof(sos09, axiom, (product(product(a,c),product(c,b))=product(a,b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos09)). 3.20/3.39 fof(goals, conjecture, (![X5]:bigC(a,b,X5)=bigC(c,c,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)). 3.20/3.39 fof(sos08, axiom, (![X4]:![X1]:![X2]:product(product(X2,X1),product(X4,X2))=bigC(X2,X1,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos08)). 3.20/3.39 fof(c_0_10, plain, (![X5]:![X6]:![X7]:![X8]:product(product(X8,X6),product(X7,X5))=product(product(X8,X7),product(X6,X5))), inference(variable_rename,[status(thm)],[sos05])). 3.20/3.39 fof(c_0_11, plain, (![X3]:X3=product(X3,X3)), inference(variable_rename,[status(thm)],[sos06])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_13,plain,(X1=product(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_11])). 3.20/3.39 fof(c_0_14, plain, (![X3]:![X4]:product(quotient(X4,X3),X3)=X4), inference(variable_rename,[status(thm)],[sos04])). 3.20/3.39 fof(c_0_15, plain, (![X3]:![X4]:quotient(product(X4,X3),X3)=X4), inference(variable_rename,[status(thm)],[sos03])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_17,plain,(product(quotient(X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_14])). 3.20/3.39 fof(c_0_18, plain, (![X3]:![X4]:X3=product(X4,difference(X4,X3))), inference(variable_rename,[status(thm)],[sos02])). 3.20/3.39 fof(c_0_19, plain, (![X3]:![X4]:X3=product(product(product(X4,X3),X3),product(X3,product(X3,X4)))), inference(variable_rename,[status(thm)],[sos07])). 3.20/3.39 cnf(c_0_20,plain,(quotient(product(X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_15])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 fof(c_0_23, plain, (![X3]:![X4]:X3=difference(X4,product(X4,X3))), inference(variable_rename,[status(thm)],[sos01])). 3.20/3.39 cnf(c_0_24,plain,(X1=product(X2,difference(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_18])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_28,plain,(product(product(a,c),product(c,b))=product(a,b)), inference(split_conjunct,[status(thm)],[sos09])). 3.20/3.39 cnf(c_0_29,plain,(X1=difference(X2,product(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_39,plain,(quotient(product(a,c),b)=quotient(a,c)), inference(spm,[status(thm)],[c_0_20, c_0_33])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_41,plain,(difference(quotient(X1,X2),X1)=X2), inference(spm,[status(thm)],[c_0_29, c_0_17])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_43,plain,(quotient(X1,difference(X2,X1))=X2), inference(spm,[status(thm)],[c_0_20, c_0_24])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_45,plain,(product(quotient(a,c),b)=product(a,c)), inference(spm,[status(thm)],[c_0_17, c_0_39])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 fof(c_0_65, negated_conjecture, (~(![X5]:bigC(a,b,X5)=bigC(c,c,X5))), inference(assume_negation,[status(cth)],[goals])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])])])). 3.20/3.39 fof(c_0_70, plain, (![X5]:![X6]:![X7]:product(product(X7,X6),product(X5,X7))=bigC(X7,X6,X5)), inference(variable_rename,[status(thm)],[sos08])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_74,negated_conjecture,(bigC(a,b,esk1_0)!=bigC(c,c,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_69])). 3.20/3.39 cnf(c_0_75,plain,(product(product(X1,X2),product(X3,X1))=bigC(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_70])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 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])). 3.20/3.39 cnf(c_0_83,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])]), ['proof']). 3.20/3.39 % SZS output end Proof 3.20/3.39 % User time : 2.785 s 3.20/3.39 % System time : 0.100 s 3.20/3.39 % Total time : 2.885 s 3.20/3.39 3.30/3.41 EOF