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 0.03/0.24 % Computer : n167.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:56:55 CDT 2018 0.03/0.24 % 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) 0.14/0.42 start to proof:theBenchmark.p 29.81/30.00 % Version : CSE_E---1.0 29.81/30.00 % Problem : theBenchmark.p 29.81/30.00 % Proof found! 29.81/30.00 % SZS status Theorem for theBenchmark.p 29.81/30.00 % SZS output start Proof 29.81/30.00 fof('fresh-unequal-var-3', conjecture, (![X10]:![X13]:![X6]:![X12]:(X12=vgensym(vapp(vapp(X10,X13),vvar(X6)))=>X12!=X6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'fresh-unequal-var-3')). 29.81/30.00 fof('gensym-is-fresh', axiom, (![X25]:![X10]:(~(visFreeVar(X25,X10))<=vgensym(X10)=X25)), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'gensym-is-fresh')). 29.81/30.00 fof(isFreeVar2, axiom, (![X3]:![X8]:![X13]:![X25]:![X21]:((X3=X25&vapp(X13,X21)=X8)=>((visFreeVar(X3,X8)=>(visFreeVar(X25,X13)|visFreeVar(X25,X21)))&(visFreeVar(X3,X8)<=(visFreeVar(X25,X13)|visFreeVar(X25,X21)))))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', isFreeVar2)). 29.81/30.00 fof(isFreeVar0, axiom, (![X3]:![X8]:![X6]:![X25]:(((visFreeVar(X3,X8)<=X25=X6)&(X6=X25<=visFreeVar(X3,X8)))<=(X8=vvar(X6)&X25=X3))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', isFreeVar0)). 29.81/30.00 fof(c_0_4, negated_conjecture, (~(![X10]:![X13]:![X6]:![X12]:(X12=vgensym(vapp(vapp(X10,X13),vvar(X6)))=>X12!=X6))), inference(assume_negation,[status(cth)],['fresh-unequal-var-3'])). 29.81/30.00 fof(c_0_5, plain, (![X26]:![X27]:(vgensym(X27)!=X26|~visFreeVar(X26,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['gensym-is-fresh'])])])). 29.81/30.00 fof(c_0_6, negated_conjecture, ((esk78_0=vgensym(vapp(vapp(esk75_0,esk76_0),vvar(esk77_0)))&esk78_0=esk77_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 29.81/30.00 cnf(c_0_7,plain,(~visFreeVar(X1,X2)|vgensym(X2)!=X1), inference(split_conjunct,[status(thm)],[c_0_5])). 29.81/30.00 cnf(c_0_8,negated_conjecture,(esk78_0=vgensym(vapp(vapp(esk75_0,esk76_0),vvar(esk77_0)))), inference(split_conjunct,[status(thm)],[c_0_6])). 29.81/30.00 cnf(c_0_9,negated_conjecture,(esk78_0=esk77_0), inference(split_conjunct,[status(thm)],[c_0_6])). 29.81/30.00 fof(c_0_10, plain, (![X26]:![X27]:![X28]:![X29]:![X30]:(((~visFreeVar(X26,X27)|(visFreeVar(X29,X28)|visFreeVar(X29,X30)))|(X26!=X29|vapp(X28,X30)!=X27))&(((~visFreeVar(X29,X28)|visFreeVar(X26,X27))|(X26!=X29|vapp(X28,X30)!=X27))&((~visFreeVar(X29,X30)|visFreeVar(X26,X27))|(X26!=X29|vapp(X28,X30)!=X27))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[isFreeVar2])])])])). 29.81/30.00 fof(c_0_11, plain, (![X26]:![X27]:![X28]:![X29]:(((X29!=X28|visFreeVar(X26,X27))|(X27!=vvar(X28)|X29!=X26))&((~visFreeVar(X26,X27)|X28=X29)|(X27!=vvar(X28)|X29!=X26)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[isFreeVar0])])])])). 29.81/30.00 cnf(c_0_12,plain,(~visFreeVar(vgensym(X1),X1)), inference(er,[status(thm)],[c_0_7])). 29.81/30.00 cnf(c_0_13,negated_conjecture,(vgensym(vapp(vapp(esk75_0,esk76_0),vvar(esk77_0)))=esk77_0), inference(rw,[status(thm)],[c_0_8, c_0_9])). 29.81/30.00 cnf(c_0_14,plain,(visFreeVar(X4,X3)|vapp(X1,X2)!=X3|X4!=X5|~visFreeVar(X5,X2)), inference(split_conjunct,[status(thm)],[c_0_10])). 29.81/30.00 cnf(c_0_15,plain,(visFreeVar(X2,X3)|X1!=X2|X3!=vvar(X4)|X1!=X4), inference(split_conjunct,[status(thm)],[c_0_11])). 29.81/30.00 cnf(c_0_16,negated_conjecture,(~visFreeVar(esk77_0,vapp(vapp(esk75_0,esk76_0),vvar(esk77_0)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 29.81/30.00 cnf(c_0_17,plain,(visFreeVar(X1,vapp(X2,X3))|~visFreeVar(X1,X3)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])). 29.81/30.00 cnf(c_0_18,plain,(visFreeVar(X1,vvar(X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])])])). 29.81/30.00 cnf(c_0_19,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']). 29.81/30.00 % SZS output end Proof 29.81/30.00 % User time : 29.384 s 29.81/30.00 % System time : 0.113 s 29.81/30.00 % Total time : 29.497 s 29.81/30.00 29.92/30.01 EOF