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 : n020.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 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:35:10 CDT 2018 0.02/0.24 % 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 0.15/0.53 % Version : CSE_E---1.0 0.15/0.53 % Problem : theBenchmark.p 0.15/0.53 % Proof found! 0.15/0.53 % SZS status Theorem for theBenchmark.p 0.15/0.53 % SZS output start Proof 0.15/0.53 fof(ordered_pair_determines_components1, conjecture, (![X6]:![X1]:![X2]:![X3]:(X6=X2<=(ordered_pair(X2,X3)=ordered_pair(X6,X1)&member(X6,universal_class)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ordered_pair_determines_components1)). 0.15/0.53 fof(ordered_pair_defn, axiom, (![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2)))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', ordered_pair_defn)). 0.15/0.53 fof(singleton_set_defn, axiom, (![X1]:singleton(X1)=unordered_pair(X1,X1)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', singleton_set_defn)). 0.15/0.53 fof(unordered_pair_defn, axiom, (![X4]:![X1]:![X2]:((member(X4,universal_class)&(X1=X4|X4=X2))<=>member(X4,unordered_pair(X1,X2)))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)). 0.15/0.53 fof(unordered_pair, axiom, (![X1]:![X2]:member(unordered_pair(X1,X2),universal_class)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair)). 0.15/0.53 fof(c_0_5, negated_conjecture, (~(![X6]:![X1]:![X2]:![X3]:(X6=X2<=(ordered_pair(X2,X3)=ordered_pair(X6,X1)&member(X6,universal_class))))), inference(assume_negation,[status(cth)],[ordered_pair_determines_components1])). 0.15/0.53 fof(c_0_6, plain, (![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(singleton(X3),unordered_pair(X3,singleton(X4)))), inference(variable_rename,[status(thm)],[ordered_pair_defn])). 0.15/0.53 fof(c_0_7, plain, (![X2]:singleton(X2)=unordered_pair(X2,X2)), inference(variable_rename,[status(thm)],[singleton_set_defn])). 0.15/0.53 fof(c_0_8, negated_conjecture, (((ordered_pair(esk10_0,esk11_0)=ordered_pair(esk8_0,esk9_0)&member(esk8_0,universal_class))&esk8_0!=esk10_0)), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])). 0.15/0.53 cnf(c_0_9,plain,(ordered_pair(X1,X2)=unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2)))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.15/0.53 cnf(c_0_10,plain,(singleton(X1)=unordered_pair(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.15/0.53 fof(c_0_11, plain, (![X5]:![X6]:![X7]:![X5]:![X6]:![X7]:((((X6!=X5|~member(X5,universal_class))|member(X5,unordered_pair(X6,X7)))&((X5!=X7|~member(X5,universal_class))|member(X5,unordered_pair(X6,X7))))&((member(X5,universal_class)|~member(X5,unordered_pair(X6,X7)))&((X6=X5|X5=X7)|~member(X5,unordered_pair(X6,X7)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])])])])). 0.15/0.53 cnf(c_0_12,negated_conjecture,(ordered_pair(esk10_0,esk11_0)=ordered_pair(esk8_0,esk9_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.15/0.53 cnf(c_0_13,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_10])). 0.15/0.53 cnf(c_0_14,plain,(member(X1,unordered_pair(X2,X3))|~member(X1,universal_class)|X2!=X1), inference(split_conjunct,[status(thm)],[c_0_11])). 0.15/0.53 fof(c_0_15, plain, (![X3]:![X4]:member(unordered_pair(X3,X4),universal_class)), inference(variable_rename,[status(thm)],[unordered_pair])). 0.15/0.53 cnf(c_0_16,plain,(X1=X3|X2=X1|~member(X1,unordered_pair(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.15/0.53 cnf(c_0_17,negated_conjecture,(unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))=unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13]), c_0_13])). 0.15/0.53 cnf(c_0_18,plain,(member(X1,unordered_pair(X1,X2))|~member(X1,universal_class)), inference(er,[status(thm)],[c_0_14])). 0.15/0.53 cnf(c_0_19,plain,(member(unordered_pair(X1,X2),universal_class)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.15/0.53 cnf(c_0_20,negated_conjecture,(member(esk8_0,universal_class)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.15/0.53 cnf(c_0_21,negated_conjecture,(X1=unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))|X1=unordered_pair(esk8_0,esk8_0)|~member(X1,unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.15/0.53 cnf(c_0_22,plain,(member(unordered_pair(X1,X2),unordered_pair(unordered_pair(X1,X2),X3))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.15/0.53 cnf(c_0_23,negated_conjecture,(member(esk8_0,unordered_pair(esk8_0,X1))), inference(spm,[status(thm)],[c_0_18, c_0_20])). 0.15/0.53 cnf(c_0_24,negated_conjecture,(unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))=unordered_pair(esk10_0,esk10_0)|unordered_pair(esk10_0,esk10_0)=unordered_pair(esk8_0,esk8_0)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.15/0.53 cnf(c_0_25,negated_conjecture,(unordered_pair(esk10_0,esk10_0)=unordered_pair(esk8_0,esk8_0)|member(esk8_0,unordered_pair(esk10_0,esk10_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.15/0.53 cnf(c_0_26,negated_conjecture,(esk8_0!=esk10_0), inference(split_conjunct,[status(thm)],[c_0_8])). 0.15/0.53 cnf(c_0_27,plain,(member(X1,unordered_pair(X2,X3))|~member(X1,universal_class)|X1!=X3), inference(split_conjunct,[status(thm)],[c_0_11])). 0.15/0.53 cnf(c_0_28,negated_conjecture,(unordered_pair(esk10_0,esk10_0)=unordered_pair(esk8_0,esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_25]), c_0_26])). 0.15/0.53 cnf(c_0_29,plain,(member(X1,unordered_pair(X2,X1))|~member(X1,universal_class)), inference(er,[status(thm)],[c_0_27])). 0.15/0.53 cnf(c_0_30,negated_conjecture,(X1=esk10_0|~member(X1,unordered_pair(esk8_0,esk8_0))), inference(spm,[status(thm)],[c_0_16, c_0_28])). 0.15/0.53 cnf(c_0_31,negated_conjecture,(member(esk8_0,unordered_pair(X1,esk8_0))), inference(spm,[status(thm)],[c_0_29, c_0_20])). 0.15/0.53 cnf(c_0_32,negated_conjecture,($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_26]), ['proof']). 0.15/0.53 % SZS output end Proof 0.15/0.53 % User time : 0.027 s 0.15/0.53 % System time : 0.003 s 0.15/0.53 % Total time : 0.030 s 0.15/0.53 0.15/0.55 EOF