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 0.03/0.23 % Computer : n004.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:30:09 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.30 openjdk version "1.8.0_144" 0.03/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.03/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.15/0.41 start to proof:theBenchmark.p 0.41/0.51 % Version : CSE_E---1.0 0.41/0.51 % Problem : theBenchmark.p 0.41/0.51 % Proof found! 0.41/0.51 % SZS status Theorem for theBenchmark.p 0.41/0.51 % SZS output start Proof 0.41/0.51 fof(thI08, conjecture, (![X1]:![X2]:![X6]:equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI08)). 0.41/0.51 fof(equal_set, axiom, (![X1]:![X2]:((subset(X1,X2)&subset(X2,X1))<=>equal_set(X1,X2))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)). 0.41/0.51 fof(subset, axiom, (![X1]:![X2]:(subset(X1,X2)<=>![X3]:(member(X3,X2)<=member(X3,X1)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)). 0.41/0.51 fof(intersection, axiom, (![X3]:![X1]:![X2]:(member(X3,intersection(X1,X2))<=>(member(X3,X1)&member(X3,X2)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)). 0.41/0.51 fof(c_0_4, negated_conjecture, (~(![X1]:![X2]:![X6]:equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6))))), inference(assume_negation,[status(cth)],[thI08])). 0.41/0.51 fof(c_0_5, negated_conjecture, (~equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 0.41/0.51 fof(c_0_6, plain, (![X3]:![X4]:![X3]:![X4]:(((~subset(X3,X4)|~subset(X4,X3))|equal_set(X3,X4))&((subset(X3,X4)|~equal_set(X3,X4))&(subset(X4,X3)|~equal_set(X3,X4))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])])])). 0.41/0.51 cnf(c_0_7,negated_conjecture,(~equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.41/0.51 cnf(c_0_8,plain,(equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.41/0.51 fof(c_0_9, plain, (![X4]:![X5]:![X6]:![X4]:![X5]:((~subset(X4,X5)|(~member(X6,X4)|member(X6,X5)))&((member(esk1_2(X4,X5),X4)|subset(X4,X5))&(~member(esk1_2(X4,X5),X5)|subset(X4,X5))))), inference(distribute,[status(thm)],[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)],[inference(fof_simplification,[status(thm)],[subset])])])])])])])])). 0.41/0.52 cnf(c_0_10,negated_conjecture,(~subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))|~subset(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0)))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 0.41/0.52 cnf(c_0_11,plain,(subset(X1,X2)|member(esk1_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.41/0.52 fof(c_0_12, plain, (![X4]:![X5]:![X6]:![X4]:![X5]:![X6]:(((member(X4,X5)|~member(X4,intersection(X5,X6)))&(member(X4,X6)|~member(X4,intersection(X5,X6))))&((~member(X4,X5)|~member(X4,X6))|member(X4,intersection(X5,X6))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])])])). 0.41/0.52 cnf(c_0_13,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))|~subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.41/0.52 cnf(c_0_14,plain,(subset(X1,X2)|~member(esk1_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.41/0.52 cnf(c_0_15,plain,(member(X1,X2)|~member(X1,intersection(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.41/0.52 cnf(c_0_16,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.41/0.52 cnf(c_0_17,negated_conjecture,(~member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))|~subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_10, c_0_14])). 0.41/0.52 cnf(c_0_18,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.41/0.52 cnf(c_0_19,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_13, c_0_11])). 0.41/0.52 cnf(c_0_20,negated_conjecture,(~member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_17, c_0_14])). 0.41/0.52 cnf(c_0_21,plain,(member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.41/0.52 cnf(c_0_22,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_15, c_0_18])). 0.41/0.52 cnf(c_0_23,plain,(member(X1,X3)|~member(X1,intersection(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.41/0.52 cnf(c_0_24,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))), inference(spm,[status(thm)],[c_0_15, c_0_19])). 0.41/0.52 cnf(c_0_25,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))|~member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])). 0.41/0.52 cnf(c_0_26,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_23, c_0_18])). 0.41/0.52 cnf(c_0_27,negated_conjecture,(member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(spm,[status(thm)],[c_0_23, c_0_16])). 0.41/0.52 cnf(c_0_28,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|~member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))), inference(spm,[status(thm)],[c_0_17, c_0_11])). 0.41/0.52 cnf(c_0_29,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)), inference(spm,[status(thm)],[c_0_15, c_0_24])). 0.41/0.52 cnf(c_0_30,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_21]), c_0_26]), c_0_27])). 0.41/0.52 cnf(c_0_31,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|~member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_21]), c_0_29])). 0.41/0.52 cnf(c_0_32,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.41/0.52 cnf(c_0_33,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))|member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)), inference(spm,[status(thm)],[c_0_23, c_0_19])). 0.41/0.52 cnf(c_0_34,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0)), inference(spm,[status(thm)],[c_0_30, c_0_21])). 0.41/0.52 cnf(c_0_35,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_21]), c_0_32]), c_0_33])). 0.41/0.52 cnf(c_0_36,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)), inference(spm,[status(thm)],[c_0_34, c_0_21])). 0.41/0.52 cnf(c_0_37,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)), inference(spm,[status(thm)],[c_0_15, c_0_35])). 0.41/0.52 cnf(c_0_38,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))), inference(spm,[status(thm)],[c_0_23, c_0_35])). 0.41/0.52 cnf(c_0_39,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0)|~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])). 0.41/0.52 cnf(c_0_40,negated_conjecture,(member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0)), inference(spm,[status(thm)],[c_0_23, c_0_38])). 0.41/0.52 cnf(c_0_41,negated_conjecture,(~member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])). 0.41/0.52 cnf(c_0_42,negated_conjecture,($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_38]), c_0_41]), ['proof']). 0.41/0.52 % SZS output end Proof 0.41/0.52 % User time : 0.018 s 0.41/0.52 % System time : 0.003 s 0.41/0.52 % Total time : 0.021 s 0.41/0.52 0.44/0.59 EOF