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 0.02/0.23 % Computer : n148.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 04:58:24 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.29 openjdk version "1.8.0_144" 0.06/0.29 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.29 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.41 start to proof:theBenchmark.p 0.14/0.52 % Version : CSE_E---1.0 0.14/0.52 % Problem : theBenchmark.p 0.14/0.52 % Proof found! 0.14/0.52 % SZS status Theorem for theBenchmark.p 0.14/0.52 % SZS output start Proof 0.14/0.52 fof(sos_12, axiom, (![X1]:'+'(X1,'1')='1'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_12)). 0.14/0.52 fof(sos_02, axiom, (![X1]:![X4]:'+'(X1,X4)='+'(X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_02)). 0.14/0.52 fof(sos_07, axiom, (![X5]:![X6]:![X7]:('>='('+'(X5,X6),X7)<=>'>='(X6,'==>'(X5,X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_07)). 0.14/0.52 fof(sos_03, axiom, (![X1]:X1='+'(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_03)). 0.14/0.52 fof(sos_06, axiom, (![X2]:![X3]:(X2=X3<=('>='(X3,X2)&'>='(X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_06)). 0.14/0.52 fof(sos_08, axiom, (![X1]:'>='(X1,'0')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_08)). 0.14/0.52 fof(sos_04, axiom, (![X1]:'>='(X1,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_04)). 0.14/0.52 fof(sos_05, axiom, (![X11]:![X12]:![X13]:(('>='(X11,X12)&'>='(X12,X13))=>'>='(X11,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_05)). 0.14/0.52 fof(sos_09, axiom, (![X18]:![X19]:![X20]:('>='('+'(X18,X20),'+'(X19,X20))<='>='(X18,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_09)). 0.14/0.52 fof(sos_11, axiom, (![X8]:![X9]:![X10]:('>='('==>'(X10,X8),'==>'(X10,X9))<='>='(X8,X9))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_11)). 0.14/0.52 fof(sos_13, axiom, (![X1]:'==>'('==>'('==>'(X1,'1'),X1),X1)='0'), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sos_13)). 0.14/0.52 fof(goals_14, conjecture, (![X21]:X21='==>'('==>'(X21,'1'),'1')), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals_14)). 0.14/0.52 fof(c_0_12, plain, (![X2]:'+'(X2,'1')='1'), inference(variable_rename,[status(thm)],[sos_12])). 0.14/0.52 fof(c_0_13, plain, (![X5]:![X6]:'+'(X5,X6)='+'(X6,X5)), inference(variable_rename,[status(thm)],[sos_02])). 0.14/0.52 fof(c_0_14, plain, (![X8]:![X9]:![X10]:![X8]:![X9]:![X10]:((~'>='('+'(X8,X9),X10)|'>='(X9,'==>'(X8,X10)))&(~'>='(X9,'==>'(X8,X10))|'>='('+'(X8,X9),X10)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])])). 0.14/0.52 cnf(c_0_15,plain,('+'(X1,'1')='1'), inference(split_conjunct,[status(thm)],[c_0_12])). 0.14/0.52 cnf(c_0_16,plain,('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.14/0.52 fof(c_0_17, plain, (![X2]:X2='+'(X2,'0')), inference(variable_rename,[status(thm)],[sos_03])). 0.14/0.52 fof(c_0_18, plain, (![X4]:![X5]:((~'>='(X5,X4)|~'>='(X4,X5))|X4=X5)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_06])])])). 0.14/0.52 fof(c_0_19, plain, (![X2]:'>='(X2,'0')), inference(variable_rename,[status(thm)],[sos_08])). 0.14/0.52 cnf(c_0_20,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X2,X1),X3)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.14/0.52 cnf(c_0_21,plain,('+'('1',X1)='1'), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.14/0.52 fof(c_0_22, plain, (![X2]:'>='(X2,X2)), inference(variable_rename,[status(thm)],[sos_04])). 0.14/0.52 cnf(c_0_23,plain,(X1='+'(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_17])). 0.14/0.52 cnf(c_0_24,plain,(X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.14/0.52 cnf(c_0_25,plain,('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_19])). 0.14/0.52 cnf(c_0_26,plain,('>='(X1,'==>'('1',X2))|~'>='('1',X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.14/0.52 cnf(c_0_27,plain,('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.14/0.52 cnf(c_0_28,plain,('>='('0','==>'(X1,X2))|~'>='(X1,X2)), inference(spm,[status(thm)],[c_0_20, c_0_23])). 0.14/0.52 cnf(c_0_29,plain,('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.14/0.52 cnf(c_0_30,plain,('>='(X1,'==>'('1','1'))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.14/0.52 fof(c_0_31, plain, (![X14]:![X15]:![X16]:((~'>='(X14,X15)|~'>='(X15,X16))|'>='(X14,X16))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])). 0.14/0.52 cnf(c_0_32,plain,('>='('0','==>'(X1,X1))), inference(spm,[status(thm)],[c_0_28, c_0_27])). 0.14/0.52 cnf(c_0_33,plain,('0'='==>'('1','1')), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.14/0.52 cnf(c_0_34,plain,('>='(X1,X2)|~'>='(X3,X2)|~'>='(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.14/0.52 cnf(c_0_35,plain,('>='('==>'('1','1'),'==>'(X1,X1))), inference(rw,[status(thm)],[c_0_32, c_0_33])). 0.14/0.52 cnf(c_0_36,plain,('>='(X1,'==>'(X2,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_30])])). 0.14/0.52 cnf(c_0_37,plain,('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_23, c_0_16])). 0.14/0.52 cnf(c_0_38,plain,('==>'(X1,X1)=X2|~'>='('==>'(X1,X1),X2)), inference(spm,[status(thm)],[c_0_24, c_0_36])). 0.14/0.52 fof(c_0_39, plain, (![X21]:![X22]:![X23]:(~'>='(X21,X22)|'>='('+'(X21,X23),'+'(X22,X23)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_09])])])])])). 0.14/0.52 cnf(c_0_40,plain,('+'('==>'('1','1'),X1)=X1), inference(rw,[status(thm)],[c_0_37, c_0_33])). 0.14/0.52 cnf(c_0_41,plain,('==>'(X1,X1)='==>'(X2,X2)), inference(spm,[status(thm)],[c_0_38, c_0_36])). 0.14/0.52 cnf(c_0_42,plain,('>='('+'(X1,X2),'+'(X3,X2))|~'>='(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_39])). 0.14/0.52 cnf(c_0_43,plain,('+'('==>'(X1,X1),X2)=X2), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.14/0.52 cnf(c_0_44,plain,('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_36]), c_0_43])). 0.14/0.52 fof(c_0_45, plain, (![X11]:![X12]:![X13]:(~'>='(X11,X12)|'>='('==>'(X13,X11),'==>'(X13,X12)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_11])])])])])). 0.14/0.52 cnf(c_0_46,plain,('>='('1',X1)), inference(spm,[status(thm)],[c_0_44, c_0_21])). 0.14/0.52 cnf(c_0_47,plain,('>='('==>'(X1,X2),'==>'(X1,X3))|~'>='(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_45])). 0.14/0.52 fof(c_0_48, plain, (![X2]:'==>'('==>'('==>'(X2,'1'),X2),X2)='0'), inference(variable_rename,[status(thm)],[sos_13])). 0.14/0.52 cnf(c_0_49,plain,('+'(X1,'==>'('1','1'))=X1), inference(rw,[status(thm)],[c_0_23, c_0_33])). 0.14/0.52 cnf(c_0_50,plain,('>='(X1,'==>'('1',X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_46])])). 0.14/0.52 cnf(c_0_51,plain,('>='('+'(X1,X2),X3)|~'>='(X2,'==>'(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.14/0.52 cnf(c_0_52,plain,('>='('==>'(X1,'1'),'==>'(X1,X2))), inference(spm,[status(thm)],[c_0_47, c_0_46])). 0.14/0.52 cnf(c_0_53,plain,('==>'('==>'('==>'(X1,'1'),X1),X1)='0'), inference(split_conjunct,[status(thm)],[c_0_48])). 0.14/0.52 cnf(c_0_54,plain,('+'(X1,'==>'(X2,X2))=X1), inference(spm,[status(thm)],[c_0_49, c_0_41])). 0.14/0.52 cnf(c_0_55,plain,('==>'(X1,X1)='==>'('1',X2)), inference(spm,[status(thm)],[c_0_38, c_0_50])). 0.14/0.52 cnf(c_0_56,plain,(X1='1'|~'>='(X1,'1')), inference(spm,[status(thm)],[c_0_24, c_0_46])). 0.14/0.52 cnf(c_0_57,plain,('>='('+'(X1,'==>'(X1,'1')),X2)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.14/0.52 cnf(c_0_58,plain,('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_51, c_0_27])). 0.14/0.52 cnf(c_0_59,plain,('==>'('==>'('==>'(X1,'1'),X1),X1)='==>'('1','1')), inference(rw,[status(thm)],[c_0_53, c_0_33])). 0.14/0.52 cnf(c_0_60,plain,('+'(X1,'==>'('1',X2))=X1), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.14/0.52 cnf(c_0_61,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X1,X2),X3)), inference(spm,[status(thm)],[c_0_20, c_0_16])). 0.14/0.52 cnf(c_0_62,plain,('+'(X1,'==>'(X1,'1'))='1'), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.14/0.52 cnf(c_0_63,plain,('>='('==>'('==>'(X1,'1'),X1),X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60])). 0.14/0.52 cnf(c_0_64,plain,('>='(X1,'==>'('==>'(X1,'1'),X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_46])])). 0.14/0.52 fof(c_0_65, negated_conjecture, (~(![X21]:X21='==>'('==>'(X21,'1'),'1'))), inference(assume_negation,[status(cth)],[goals_14])). 0.14/0.52 cnf(c_0_66,plain,('==>'('==>'(X1,'1'),X1)=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_63]), c_0_64])])). 0.14/0.52 fof(c_0_67, negated_conjecture, (esk1_0!='==>'('==>'(esk1_0,'1'),'1')), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])). 0.14/0.52 cnf(c_0_68,plain,('>='('==>'('==>'(X1,'1'),'1'),X1)), inference(spm,[status(thm)],[c_0_52, c_0_66])). 0.14/0.52 cnf(c_0_69,negated_conjecture,(esk1_0!='==>'('==>'(esk1_0,'1'),'1')), inference(split_conjunct,[status(thm)],[c_0_67])). 0.14/0.52 cnf(c_0_70,plain,('==>'('==>'(X1,'1'),'1')=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_68]), c_0_64])])). 0.14/0.52 cnf(c_0_71,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])]), ['proof']). 0.14/0.52 % SZS output end Proof 0.14/0.52 % User time : 0.017 s 0.14/0.52 % System time : 0.001 s 0.14/0.52 % Total time : 0.018 s 0.14/0.52 0.14/0.54 EOF