0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_epr.jar %d %s 0.13/0.36 % Computer : n004.cluster.edu 0.13/0.36 % Model : x86_64 x86_64 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.36 % Memory : 8042.1875MB 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.36 % CPULimit : 960 0.13/0.36 % WCLimit : 120 0.13/0.36 % DateTime : Thu Jul 2 07:13:28 EDT 2020 0.13/0.36 % CPUTime : 0.19/0.47 openjdk version "1.8.0_171" 0.19/0.47 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.19/0.47 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.19/0.48 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.45/0.63 start to proof:theBenchmark.p 1.63/1.72 % Version : CSE_E---1.2 1.63/1.72 % Problem : theBenchmark.p 1.63/1.72 % Proof found! 1.63/1.72 % SZS status Theorem for theBenchmark.p 1.63/1.72 % SZS output start Proof 1.63/1.72 fof('ass(cond(73, 0), 0)', axiom, ![X111, X112]:X112!=vplus(X111,X112), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(73, 0), 0)')). 1.63/1.72 fof('ass(cond(33, 0), 0)', axiom, ![X11, X12, X13]:vplus(X11,vplus(X12,X13))=vplus(vplus(X11,X12),X13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(33, 0), 0)')). 1.63/1.72 fof('def(cond(conseq(axiom(3)), 16), 1)', axiom, ![X17, X18]:((greater(X18,X17)|X17=X18)<=>geq(X18,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 16), 1)')). 1.63/1.72 fof('ass(cond(61, 0), 0)', axiom, ![X29, X30]:vplus(X30,X29)=vplus(X29,X30), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(61, 0), 0)')). 1.63/1.72 fof('def(cond(conseq(axiom(3)), 11), 1)', axiom, ![X87, X88]:(?[X89]:vplus(X87,X89)=X88<=>greater(X88,X87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'def(cond(conseq(axiom(3)), 11), 1)')). 1.63/1.72 fof('holds(conjunct1(antec(323)), 528, 0)', axiom, geq(vd526,vd527), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct1(antec(323)), 528, 0)')). 1.63/1.72 fof('ass(cond(318, 0), 0)', axiom, ![X80, X81, X82, X83]:(greater(vmul(X80,X82),vmul(X81,X83))<=((greater(X82,X83)&geq(X80,X81))|(geq(X82,X83)&greater(X80,X81)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(318, 0), 0)')). 1.63/1.72 fof('holds(conseq(323), 532, 0)', conjecture, geq(vmul(vd526,vd529),vmul(vd527,vd530)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conseq(323), 532, 0)')). 1.63/1.72 fof('holds(conjunct2(antec(323)), 531, 0)', axiom, geq(vd529,vd530), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'holds(conjunct2(antec(323)), 531, 0)')). 1.63/1.72 fof('ass(cond(270, 0), 0)', axiom, ![X76, X77]:vmul(X76,X77)=vmul(X77,X76), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(270, 0), 0)')). 1.63/1.72 fof('ass(cond(189, 0), 0)', axiom, ![X41, X42]:greater(vplus(X41,X42),X41), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(189, 0), 0)')). 1.63/1.72 fof('ass(cond(281, 0), 0)', axiom, ![X21, X22, X23]:vplus(vmul(X21,X22),vmul(X21,X23))=vmul(X21,vplus(X22,X23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(281, 0), 0)')). 1.63/1.72 fof('ass(cond(goal(88), 0), 0)', axiom, ![X59, X60]:(?[X113]:vplus(X59,X113)=X60|?[X61]:X59=vplus(X60,X61)|X60=X59), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'ass(cond(goal(88), 0), 0)')). 1.63/1.72 fof(c_0_13, plain, ![X253, X254]:X254!=vplus(X253,X254), inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)'])). 1.63/1.72 fof(c_0_14, plain, ![X128, X129, X130]:vplus(X128,vplus(X129,X130))=vplus(vplus(X128,X129),X130), inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)'])). 1.63/1.72 fof(c_0_15, plain, ![X134, X135]:(((~greater(X135,X134)|geq(X135,X134))&(X134!=X135|geq(X135,X134)))&(~geq(X135,X134)|(greater(X135,X134)|X134=X135))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])])). 1.63/1.72 cnf(c_0_16, plain, (X1!=vplus(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 1.63/1.72 cnf(c_0_17, plain, (vplus(X1,vplus(X2,X3))=vplus(vplus(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_14])). 1.63/1.72 fof(c_0_18, plain, ![X148, X149]:vplus(X149,X148)=vplus(X148,X149), inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)'])). 1.63/1.72 fof(c_0_19, plain, ![X213, X214, X215, X216, X217]:((vplus(X213,X215)!=X214|greater(X214,X213))&(~greater(X217,X216)|vplus(X216,esk2_2(X216,X217))=X217)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])])). 1.63/1.72 cnf(c_0_20, plain, (greater(X1,X2)|X2=X1|~geq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 1.63/1.72 cnf(c_0_21, plain, (geq(vd526,vd527)), inference(split_conjunct,[status(thm)],['holds(conjunct1(antec(323)), 528, 0)'])). 1.63/1.72 fof(c_0_22, plain, ![X206, X207, X208, X209]:((~greater(X208,X209)|~geq(X206,X207)|greater(vmul(X206,X208),vmul(X207,X209)))&(~geq(X208,X209)|~greater(X206,X207)|greater(vmul(X206,X208),vmul(X207,X209)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(318, 0), 0)'])])])])). 1.63/1.72 fof(c_0_23, negated_conjecture, ~(geq(vmul(vd526,vd529),vmul(vd527,vd530))), inference(assume_negation,[status(cth)],['holds(conseq(323), 532, 0)'])). 1.63/1.72 cnf(c_0_24, plain, (vplus(X1,vplus(X2,X3))!=X3), inference(spm,[status(thm)],[c_0_16, c_0_17])). 1.63/1.72 cnf(c_0_25, plain, (vplus(X1,X2)=vplus(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.63/1.72 cnf(c_0_26, plain, (vplus(X2,esk2_2(X2,X1))=X1|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])). 1.63/1.72 cnf(c_0_27, plain, (vd527=vd526|greater(vd526,vd527)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 1.63/1.72 cnf(c_0_28, plain, (greater(vmul(X3,X1),vmul(X4,X2))|~geq(X1,X2)|~greater(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_22])). 1.63/1.72 cnf(c_0_29, plain, (geq(vd529,vd530)), inference(split_conjunct,[status(thm)],['holds(conjunct2(antec(323)), 531, 0)'])). 1.63/1.72 fof(c_0_30, negated_conjecture, ~geq(vmul(vd526,vd529),vmul(vd527,vd530)), inference(fof_simplification,[status(thm)],[c_0_23])). 1.63/1.72 fof(c_0_31, plain, ![X199, X200]:vmul(X199,X200)=vmul(X200,X199), inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)'])). 1.63/1.72 fof(c_0_32, plain, ![X160, X161]:greater(vplus(X160,X161),X160), inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)'])). 1.63/1.72 cnf(c_0_33, plain, (vplus(X1,vplus(X2,X3))!=X2), inference(spm,[status(thm)],[c_0_24, c_0_25])). 1.63/1.72 cnf(c_0_34, plain, (vplus(vd527,esk2_2(vd527,vd526))=vd526|vd527=vd526), inference(spm,[status(thm)],[c_0_26, c_0_27])). 1.63/1.72 cnf(c_0_35, plain, (greater(vmul(X1,vd526),vmul(X2,vd527))|~greater(X1,X2)), inference(spm,[status(thm)],[c_0_28, c_0_21])). 1.63/1.72 cnf(c_0_36, plain, (vd530=vd529|greater(vd529,vd530)), inference(spm,[status(thm)],[c_0_20, c_0_29])). 1.63/1.72 cnf(c_0_37, negated_conjecture, (~geq(vmul(vd526,vd529),vmul(vd527,vd530))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.63/1.72 cnf(c_0_38, plain, (vmul(X1,X2)=vmul(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])). 1.63/1.72 cnf(c_0_39, plain, (geq(X1,X2)|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 1.63/1.72 cnf(c_0_40, plain, (greater(vplus(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 1.63/1.72 fof(c_0_41, plain, ![X138, X139, X140]:vplus(vmul(X138,X139),vmul(X138,X140))=vmul(X138,vplus(X139,X140)), inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)'])). 1.63/1.72 cnf(c_0_42, plain, (vd527=vd526|vplus(X1,vd526)!=vd527), inference(spm,[status(thm)],[c_0_33, c_0_34])). 1.63/1.72 fof(c_0_43, plain, ![X267, X268]:(vplus(X267,esk3_2(X267,X268))=X268|X267=vplus(X268,esk4_2(X267,X268))|X268=X267), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])])). 1.63/1.72 cnf(c_0_44, plain, (vd530=vd529|greater(vmul(vd529,vd526),vmul(vd530,vd527))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 1.63/1.72 cnf(c_0_45, negated_conjecture, (~geq(vmul(vd529,vd526),vmul(vd530,vd527))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_38])). 1.63/1.72 cnf(c_0_46, plain, (geq(vplus(X1,X2),X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 1.63/1.72 cnf(c_0_47, plain, (vplus(vmul(X1,X2),vmul(X1,X3))=vmul(X1,vplus(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_41])). 1.63/1.72 cnf(c_0_48, plain, (vd527=vd526|vplus(vd526,X1)!=vd527), inference(spm,[status(thm)],[c_0_42, c_0_25])). 1.63/1.72 cnf(c_0_49, plain, (vplus(X1,esk3_2(X1,X2))=X2|X1=vplus(X2,esk4_2(X1,X2))|X2=X1), inference(split_conjunct,[status(thm)],[c_0_43])). 1.63/1.72 cnf(c_0_50, plain, (vd530=vd529), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_44]), c_0_45])). 1.63/1.72 cnf(c_0_51, plain, (geq(vmul(X1,vplus(X2,X3)),vmul(X1,X2))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 1.63/1.72 cnf(c_0_52, plain, (vplus(vd527,esk4_2(vd526,vd527))=vd526|vd527=vd526), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49])])). 1.63/1.72 cnf(c_0_53, negated_conjecture, (~geq(vmul(vd529,vd526),vmul(vd529,vd527))), inference(rw,[status(thm)],[c_0_45, c_0_50])). 1.63/1.72 cnf(c_0_54, plain, (vd527=vd526|geq(vmul(X1,vd526),vmul(X1,vd527))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 1.63/1.72 cnf(c_0_55, plain, (geq(X2,X1)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_15])). 1.63/1.72 cnf(c_0_56, negated_conjecture, (vd527=vd526), inference(spm,[status(thm)],[c_0_53, c_0_54])). 1.63/1.72 cnf(c_0_57, plain, (geq(X1,X1)), inference(er,[status(thm)],[c_0_55])). 1.63/1.72 cnf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_56]), c_0_57])]), ['proof']). 1.63/1.72 % SZS output end Proof 1.63/1.72 % User time : 0.984 s 1.63/1.72 % System time : 0.035 s 1.63/1.72 % Total time : 1.019 s 1.63/1.72 1.63/1.74 EOF