0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.12/0.32 % Computer : n026.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 960 0.12/0.32 % WCLimit : 120 0.12/0.32 % DateTime : Tue Aug 9 02:51:19 EDT 2022 0.12/0.32 % CPUTime : 0.18/0.42 openjdk version "1.8.0_171" 0.18/0.42 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.42 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.43 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.59/0.67 start to proof: theBenchmark 0.59/0.73 % Version : CSE_E---1.4 0.59/0.73 % Problem : theBenchmark.p 0.59/0.73 % Proof found 0.59/0.73 % SZS status Theorem for theBenchmark.p 0.59/0.73 % SZS output start Proof 0.59/0.73 fof(empty_defn, axiom, ![X1]:(![X2]:~(member(X2,X1))<=>empty(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_defn)). 0.59/0.73 fof(empty_set_defn, axiom, ![X1]:~(member(X1,empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)). 0.59/0.73 fof(intersection_defn, axiom, ![X1, X2, X3]:((member(X3,X1)&member(X3,X2))<=>member(X3,intersection(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)). 0.59/0.73 fof(equal_member_defn, axiom, ![X1, X2]:(![X3]:(member(X3,X1)<=>member(X3,X2))<=>X1=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)). 0.59/0.73 fof(intersect_defn, axiom, ![X1, X2]:(intersect(X1,X2)<=>?[X3]:(member(X3,X1)&member(X3,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)). 0.59/0.73 fof(prove_th119, conjecture, ![X1, X2]:(not_equal(intersection(X1,X2),empty_set)<=>intersect(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th119)). 0.59/0.73 fof(not_equal_defn, axiom, ![X1, X2]:(not_equal(X1,X2)<=>X2!=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', not_equal_defn)). 0.59/0.73 fof(c_0_7, plain, ![X1]:(![X2]:~member(X2,X1)<=>empty(X1)), inference(fof_simplification,[status(thm)],[empty_defn])). 0.59/0.73 fof(c_0_8, plain, ![X1]:~member(X1,empty_set), inference(fof_simplification,[status(thm)],[empty_set_defn])). 0.59/0.73 fof(c_0_9, plain, ![X50, X51, X52]:((~member(X52,X50)|~member(X52,X51)|member(X52,intersection(X50,X51)))&((member(X52,X50)|~member(X52,intersection(X50,X51)))&(member(X52,X51)|~member(X52,intersection(X50,X51))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_defn])])])). 0.59/0.73 fof(c_0_10, plain, ![X46, X48, X49]:((member(esk5_1(X46),X46)|empty(X46))&(~empty(X48)|~member(X49,X48))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 0.59/0.73 fof(c_0_11, plain, ![X30]:~member(X30,empty_set), inference(variable_rename,[status(thm)],[c_0_8])). 0.59/0.73 fof(c_0_12, plain, ![X39, X40, X42, X43, X44, X45]:(((~member(esk4_2(X39,X40),X39)|~member(esk4_2(X39,X40),X40)|X39=X40)&(member(esk4_2(X39,X40),X39)|member(esk4_2(X39,X40),X40)|X39=X40))&((~member(X44,X42)|member(X44,X43)|X42!=X43)&(~member(X45,X43)|member(X45,X42)|X42!=X43))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_member_defn])])])])])])). 0.59/0.73 fof(c_0_13, plain, ![X31, X32, X34, X35, X36]:(((member(esk3_2(X31,X32),X31)|~intersect(X31,X32))&(member(esk3_2(X31,X32),X32)|~intersect(X31,X32)))&(~member(X36,X34)|~member(X36,X35)|intersect(X34,X35))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[intersect_defn])])])])])])). 0.59/0.73 cnf(c_0_14, plain, (member(X1,X2)|~member(X1,intersection(X3,X2))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.59/0.73 cnf(c_0_15, plain, (member(esk5_1(X1),X1)|empty(X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.59/0.73 fof(c_0_16, negated_conjecture, ~(![X1, X2]:(not_equal(intersection(X1,X2),empty_set)<=>intersect(X1,X2))), inference(assume_negation,[status(cth)],[prove_th119])). 0.59/0.73 cnf(c_0_17, plain, (~member(X1,empty_set)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.59/0.73 cnf(c_0_18, plain, (member(esk4_2(X1,X2),X1)|member(esk4_2(X1,X2),X2)|X1=X2), inference(split_conjunct,[status(thm)],[c_0_12])). 0.59/0.73 cnf(c_0_19, plain, (intersect(X2,X3)|~member(X1,X2)|~member(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.59/0.73 cnf(c_0_20, plain, (empty(intersection(X1,X2))|member(esk5_1(intersection(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.59/0.73 cnf(c_0_21, plain, (member(X1,X2)|~member(X1,intersection(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.59/0.73 fof(c_0_22, negated_conjecture, ((~not_equal(intersection(esk1_0,esk2_0),empty_set)|~intersect(esk1_0,esk2_0))&(not_equal(intersection(esk1_0,esk2_0),empty_set)|intersect(esk1_0,esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])). 0.59/0.73 fof(c_0_23, plain, ![X26, X27]:((~not_equal(X26,X27)|X27!=X26)&(X27=X26|not_equal(X26,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[not_equal_defn])])). 0.59/0.73 cnf(c_0_24, plain, (~empty(X1)|~member(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.59/0.73 cnf(c_0_25, plain, (X1=empty_set|member(esk4_2(X1,empty_set),X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.59/0.73 cnf(c_0_26, plain, (empty(intersection(X1,X2))|intersect(X3,X2)|~member(esk5_1(intersection(X1,X2)),X3)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.59/0.73 cnf(c_0_27, plain, (empty(intersection(X1,X2))|member(esk5_1(intersection(X1,X2)),X1)), inference(spm,[status(thm)],[c_0_21, c_0_15])). 0.59/0.73 cnf(c_0_28, negated_conjecture, (~not_equal(intersection(esk1_0,esk2_0),empty_set)|~intersect(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.59/0.73 cnf(c_0_29, plain, (X1=X2|not_equal(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.59/0.73 cnf(c_0_30, plain, (X1=empty_set|~empty(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.59/0.73 cnf(c_0_31, plain, (empty(intersection(X1,X2))|intersect(X1,X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.59/0.73 cnf(c_0_32, plain, (member(X1,intersection(X2,X3))|~member(X1,X2)|~member(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.59/0.73 cnf(c_0_33, negated_conjecture, (intersection(esk1_0,esk2_0)=empty_set|~intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.59/0.73 cnf(c_0_34, plain, (intersection(X1,X2)=empty_set|intersect(X1,X2)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.59/0.73 cnf(c_0_35, plain, (~empty(intersection(X1,X2))|~member(X3,X2)|~member(X3,X1)), inference(spm,[status(thm)],[c_0_24, c_0_32])). 0.59/0.73 cnf(c_0_36, negated_conjecture, (intersection(esk1_0,esk2_0)=empty_set), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.59/0.73 cnf(c_0_37, plain, (empty(empty_set)), inference(spm,[status(thm)],[c_0_17, c_0_15])). 0.59/0.73 cnf(c_0_38, plain, (~not_equal(X1,X2)|X2!=X1), inference(split_conjunct,[status(thm)],[c_0_23])). 0.59/0.73 cnf(c_0_39, negated_conjecture, (~member(X1,esk2_0)|~member(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])). 0.59/0.73 cnf(c_0_40, plain, (member(esk3_2(X1,X2),X2)|~intersect(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.59/0.73 cnf(c_0_41, negated_conjecture, (not_equal(intersection(esk1_0,esk2_0),empty_set)|intersect(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.59/0.73 cnf(c_0_42, plain, (~not_equal(X1,X1)), inference(er,[status(thm)],[c_0_38])). 0.59/0.73 cnf(c_0_43, negated_conjecture, (~member(esk3_2(X1,esk2_0),esk1_0)|~intersect(X1,esk2_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.59/0.73 cnf(c_0_44, plain, (member(esk3_2(X1,X2),X1)|~intersect(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.59/0.73 cnf(c_0_45, negated_conjecture, (intersect(esk1_0,esk2_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_36]), c_0_42])). 0.59/0.73 cnf(c_0_46, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])]), ['proof']). 0.59/0.73 % SZS output end Proof 0.59/0.73 % Total time : 0.048000 s 0.72/0.74 EOF