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 0.03/0.22 % Computer : n025.star.cs.uiowa.edu 0.03/0.22 % Model : x86_64 x86_64 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.22 % Memory : 32218.625MB 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.22 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:23:24 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.29 openjdk version "1.8.0_144" 0.03/0.29 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.03/0.29 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.13/0.41 start to proof:theBenchmark.p 1.31/1.44 % Version : CSE_E---1.0 1.31/1.44 % Problem : theBenchmark.p 1.31/1.44 % Proof found! 1.31/1.44 % SZS status Theorem for theBenchmark.p 1.31/1.44 % SZS output start Proof 1.31/1.44 fof('ass(cond(goal(88), 0), 1)', axiom, (![X43]:![X44]:(~(?[X46]:X44=vplus(X43,X46))|X43!=X44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(88), 0), 1)')). 1.31/1.44 fof('ass(cond(281, 0), 0)', axiom, (![X91]:![X92]:![X93]:vmul(X91,vplus(X92,X93))=vplus(vmul(X91,X92),vmul(X91,X93))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(281, 0), 0)')). 1.31/1.44 fof('ass(cond(270, 0), 0)', axiom, (![X40]:![X41]:vmul(X41,X40)=vmul(X40,X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(270, 0), 0)')). 1.31/1.44 fof('ass(cond(goal(130), 0), 2)', axiom, (![X49]:![X50]:(~(greater(X49,X50))|~(less(X49,X50)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(130), 0), 2)')). 1.31/1.44 fof('ass(cond(189, 0), 0)', axiom, (![X30]:![X31]:greater(vplus(X30,X31),X30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(189, 0), 0)')). 1.31/1.45 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, (![X94]:![X95]:(greater(X95,X94)<=>?[X96]:vplus(X94,X96)=X95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 11), 1)')). 1.31/1.45 fof('ass(cond(140, 0), 0)', axiom, (![X12]:![X13]:(less(X13,X12)<=greater(X12,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(140, 0), 0)')). 1.31/1.45 fof('ass(cond(goal(88), 0), 0)', axiom, (![X43]:![X44]:((?[X45]:X43=vplus(X44,X45)|?[X46]:X44=vplus(X43,X46))|X43=X44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(goal(88), 0), 0)')). 1.31/1.45 fof('holds(conjunct1(314), 510, 0)', axiom, (greater(vd508,vd509)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct1(314), 510, 0)')). 1.31/1.45 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', axiom, (![X10]:![X11]:(X10=vmul(X10,v1)&vmul(X10,vsucc(X11))=vplus(vmul(X10,X11),X10))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')). 1.31/1.45 fof('ass(cond(253, 0), 0)', axiom, (![X51]:X51=vmul(v1,X51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(253, 0), 0)')). 1.31/1.45 fof('holds(conjunct1(315), 514, 0)', conjecture, (greater(vmul(vd508,vd511),vmul(vd509,vd511))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'holds(conjunct1(315), 514, 0)')). 1.31/1.45 fof(c_0_12, plain, (![X47]:![X48]:![X49]:(X48!=vplus(X47,X49)|X47!=X48)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])])])])). 1.31/1.45 cnf(c_0_13,plain,(X1!=X2|X2!=vplus(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_12])). 1.31/1.45 fof(c_0_14, plain, (![X94]:![X95]:![X96]:vmul(X94,vplus(X95,X96))=vplus(vmul(X94,X95),vmul(X94,X96))), inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)'])). 1.31/1.45 cnf(c_0_15,plain,(vplus(X1,X2)!=X1), inference(er,[status(thm)],[c_0_13])). 1.31/1.45 cnf(c_0_16,plain,(vmul(X1,vplus(X2,X3))=vplus(vmul(X1,X2),vmul(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_14])). 1.31/1.45 fof(c_0_17, plain, (![X42]:![X43]:vmul(X43,X42)=vmul(X42,X43)), inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)'])). 1.31/1.45 fof(c_0_18, plain, (![X51]:![X52]:(~greater(X51,X52)|~less(X51,X52))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)'])])). 1.31/1.45 fof(c_0_19, plain, (![X32]:![X33]:greater(vplus(X32,X33),X32)), inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)'])). 1.31/1.45 cnf(c_0_20,plain,(vmul(X1,vplus(X2,X3))!=vmul(X1,X2)), inference(spm,[status(thm)],[c_0_15, c_0_16])). 1.31/1.45 cnf(c_0_21,plain,(vmul(X1,X2)=vmul(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 1.31/1.45 fof(c_0_22, plain, (![X97]:![X98]:![X97]:![X98]:![X100]:((~greater(X98,X97)|vplus(X97,esk4_2(X97,X98))=X98)&(vplus(X97,X100)!=X98|greater(X98,X97)))), 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)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])])])). 1.31/1.45 cnf(c_0_23,plain,(~less(X1,X2)|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.31/1.45 cnf(c_0_24,plain,(greater(vplus(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 1.31/1.45 fof(c_0_25, plain, (![X14]:![X15]:(~greater(X14,X15)|less(X15,X14))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(140, 0), 0)'])])])). 1.31/1.45 cnf(c_0_26,plain,(vmul(vplus(X1,X2),X3)!=vmul(X3,X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 1.31/1.45 cnf(c_0_27,plain,(vplus(X1,esk4_2(X1,X2))=X2|~greater(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 1.31/1.45 cnf(c_0_28,plain,(~less(vplus(X1,X2),X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 1.31/1.45 cnf(c_0_29,plain,(less(X1,X2)|~greater(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_25])). 1.31/1.45 fof(c_0_30, plain, (![X47]:![X48]:((X47=vplus(X48,esk2_2(X47,X48))|X48=vplus(X47,esk3_2(X47,X48)))|X47=X48)), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])])])])). 1.31/1.45 cnf(c_0_31,plain,(vmul(X1,X2)!=vmul(X2,X3)|~greater(X1,X3)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 1.31/1.45 cnf(c_0_32,plain,(greater(vd508,vd509)), inference(split_conjunct,[status(thm)],['holds(conjunct1(314), 510, 0)'])). 1.31/1.45 fof(c_0_33, plain, (![X12]:![X12]:![X13]:(X12=vmul(X12,v1)&vmul(X12,vsucc(X13))=vplus(vmul(X12,X13),X12))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))'])])])). 1.31/1.45 fof(c_0_34, plain, (![X52]:X52=vmul(v1,X52)), inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)'])). 1.31/1.45 fof(c_0_35, negated_conjecture, (~(greater(vmul(vd508,vd511),vmul(vd509,vd511)))), inference(assume_negation,[status(cth)],['holds(conjunct1(315), 514, 0)'])). 1.31/1.45 cnf(c_0_36,plain,(~greater(X1,vplus(X1,X2))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 1.31/1.45 cnf(c_0_37,plain,(X1=X2|X2=vplus(X1,esk3_2(X1,X2))|X1=vplus(X2,esk2_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.31/1.45 cnf(c_0_38,plain,(vmul(vd508,X1)!=vmul(X1,vd509)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 1.31/1.45 cnf(c_0_39,plain,(X1=vmul(X1,v1)), inference(split_conjunct,[status(thm)],[c_0_33])). 1.31/1.45 cnf(c_0_40,plain,(X1=vmul(v1,X1)), inference(split_conjunct,[status(thm)],[c_0_34])). 1.31/1.45 fof(c_0_41, negated_conjecture, (~greater(vmul(vd508,vd511),vmul(vd509,vd511))), inference(fof_simplification,[status(thm)],[c_0_35])). 1.31/1.45 cnf(c_0_42,plain,(vplus(X1,esk3_2(X1,X2))=X2|X1=X2|~greater(X2,X1)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 1.31/1.45 cnf(c_0_43,plain,(vd509!=vd508), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 1.31/1.45 cnf(c_0_44,negated_conjecture,(~greater(vmul(vd508,vd511),vmul(vd509,vd511))), inference(split_conjunct,[status(thm)],[c_0_41])). 1.31/1.45 cnf(c_0_45,plain,(greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2))), inference(spm,[status(thm)],[c_0_24, c_0_16])). 1.31/1.45 cnf(c_0_46,plain,(vplus(vd509,esk3_2(vd509,vd508))=vd508), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_32]), c_0_43])). 1.31/1.45 cnf(c_0_47,negated_conjecture,(~greater(vmul(vd511,vd508),vmul(vd511,vd509))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_21]), c_0_21])). 1.31/1.45 cnf(c_0_48,plain,(greater(vmul(X1,vd508),vmul(X1,vd509))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 1.31/1.45 cnf(c_0_49,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])]), ['proof']). 1.31/1.45 % SZS output end Proof 1.31/1.45 % User time : 0.918 s 1.31/1.45 % System time : 0.039 s 1.31/1.45 % Total time : 0.957 s 1.31/1.45 1.31/1.47 EOF