0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.13/0.34 % Computer : n023.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:35:43 EDT 2022 0.13/0.35 % CPUTime : 0.21/0.45 openjdk version "1.8.0_171" 0.21/0.45 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.21/0.45 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.21/0.46 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.53/0.69 start to proof: theBenchmark 0.67/0.72 % Version : CSE_E---1.4 0.67/0.72 % Problem : theBenchmark.p 0.67/0.72 % Proof found 0.67/0.72 % SZS status Theorem for theBenchmark.p 0.67/0.72 % SZS output start Proof 0.67/0.72 fof(prove_intersect_with_union, conjecture, ![X1, X2, X3]:((intersect(X1,X3)|intersect(X1,X2))<=>intersect(X1,union(X2,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersect_with_union)). 0.67/0.72 fof(intersect_defn, axiom, ![X1, X2]:(?[X3]:(member(X3,X1)&member(X3,X2))<=>intersect(X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)). 0.67/0.72 fof(union_defn, axiom, ![X1, X2, X3]:(member(X3,union(X1,X2))<=>(member(X3,X1)|member(X3,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)). 0.67/0.72 fof(symmetry_of_intersect, axiom, ![X1, X2]:(intersect(X2,X1)<=intersect(X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry_of_intersect)). 0.67/0.72 fof(commutativity_of_union, axiom, ![X1, X2]:union(X1,X2)=union(X2,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_union)). 0.67/0.72 fof(c_0_5, negated_conjecture, ~(![X1, X2, X3]:((intersect(X1,X3)|intersect(X1,X2))<=>intersect(X1,union(X2,X3)))), inference(assume_negation,[status(cth)],[prove_intersect_with_union])). 0.67/0.72 fof(c_0_6, plain, ![X25, X26, X27, X28, X29]:((~member(X27,X25)|~member(X27,X26)|intersect(X25,X26))&((member(esk4_2(X28,X29),X28)|~intersect(X28,X29))&(member(esk4_2(X28,X29),X29)|~intersect(X28,X29)))), 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])])])])])])). 0.67/0.72 fof(c_0_7, negated_conjecture, (((~intersect(esk1_0,esk3_0)|~intersect(esk1_0,union(esk2_0,esk3_0)))&(~intersect(esk1_0,esk2_0)|~intersect(esk1_0,union(esk2_0,esk3_0))))&(intersect(esk1_0,esk3_0)|intersect(esk1_0,esk2_0)|intersect(esk1_0,union(esk2_0,esk3_0)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.67/0.72 cnf(c_0_8, plain, (member(esk4_2(X1,X2),X1)|~intersect(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.67/0.72 cnf(c_0_9, negated_conjecture, (intersect(esk1_0,esk3_0)|intersect(esk1_0,esk2_0)|intersect(esk1_0,union(esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.67/0.72 fof(c_0_10, plain, ![X40, X41, X42]:((~member(X42,union(X40,X41))|(member(X42,X40)|member(X42,X41)))&((~member(X42,X40)|member(X42,union(X40,X41)))&(~member(X42,X41)|member(X42,union(X40,X41))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])). 0.67/0.72 cnf(c_0_11, plain, (member(esk4_2(X1,X2),X2)|~intersect(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.67/0.72 fof(c_0_12, plain, ![X1, X2]:(intersect(X1,X2)=>intersect(X2,X1)), inference(fof_simplification,[status(thm)],[symmetry_of_intersect])). 0.67/0.72 cnf(c_0_13, plain, (intersect(X2,X3)|~member(X1,X2)|~member(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.67/0.72 cnf(c_0_14, negated_conjecture, (member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk1_0)|intersect(esk1_0,esk2_0)|intersect(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.67/0.72 cnf(c_0_15, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.67/0.72 cnf(c_0_16, negated_conjecture, (member(esk4_2(esk1_0,union(esk2_0,esk3_0)),union(esk2_0,esk3_0))|intersect(esk1_0,esk2_0)|intersect(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_11, c_0_9])). 0.67/0.72 fof(c_0_17, plain, ![X23, X24]:(~intersect(X23,X24)|intersect(X24,X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])). 0.67/0.72 cnf(c_0_18, negated_conjecture, (intersect(esk1_0,esk3_0)|intersect(esk1_0,esk2_0)|intersect(X1,esk1_0)|~member(esk4_2(esk1_0,union(esk2_0,esk3_0)),X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.67/0.73 cnf(c_0_19, negated_conjecture, (member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk3_0)|member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk2_0)|intersect(esk1_0,esk3_0)|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.67/0.73 cnf(c_0_20, plain, (intersect(X2,X1)|~intersect(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.67/0.73 cnf(c_0_21, negated_conjecture, (member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk2_0)|intersect(esk1_0,esk2_0)|intersect(esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])). 0.67/0.73 cnf(c_0_22, negated_conjecture, (intersect(esk1_0,esk2_0)|intersect(esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_21]), c_0_20])). 0.67/0.73 cnf(c_0_23, negated_conjecture, (member(esk4_2(esk1_0,esk3_0),esk1_0)|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_8, c_0_22])). 0.67/0.73 cnf(c_0_24, plain, (member(X1,union(X2,X3))|~member(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.67/0.73 cnf(c_0_25, negated_conjecture, (member(esk4_2(esk1_0,esk3_0),esk3_0)|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_11, c_0_22])). 0.67/0.73 cnf(c_0_26, negated_conjecture, (intersect(esk1_0,esk2_0)|intersect(X1,esk1_0)|~member(esk4_2(esk1_0,esk3_0),X1)), inference(spm,[status(thm)],[c_0_13, c_0_23])). 0.67/0.73 cnf(c_0_27, negated_conjecture, (member(esk4_2(esk1_0,esk3_0),union(esk3_0,X1))|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.67/0.73 cnf(c_0_28, negated_conjecture, (intersect(union(esk3_0,X1),esk1_0)|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.67/0.73 fof(c_0_29, plain, ![X38, X39]:union(X38,X39)=union(X39,X38), inference(variable_rename,[status(thm)],[commutativity_of_union])). 0.67/0.73 cnf(c_0_30, negated_conjecture, (~intersect(esk1_0,esk3_0)|~intersect(esk1_0,union(esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.67/0.73 cnf(c_0_31, negated_conjecture, (~intersect(esk1_0,esk2_0)|~intersect(esk1_0,union(esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.67/0.73 cnf(c_0_32, negated_conjecture, (intersect(esk1_0,union(esk3_0,X1))|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_20, c_0_28])). 0.67/0.73 cnf(c_0_33, plain, (union(X1,X2)=union(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.67/0.73 cnf(c_0_34, negated_conjecture, (~intersect(esk1_0,union(esk2_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_22]), c_0_31])). 0.67/0.73 cnf(c_0_35, negated_conjecture, (intersect(esk1_0,union(X1,esk3_0))|intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.67/0.73 cnf(c_0_36, negated_conjecture, (intersect(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.67/0.73 cnf(c_0_37, negated_conjecture, (member(esk4_2(esk1_0,esk2_0),esk1_0)), inference(spm,[status(thm)],[c_0_8, c_0_36])). 0.67/0.73 cnf(c_0_38, negated_conjecture, (member(esk4_2(esk1_0,esk2_0),esk2_0)), inference(spm,[status(thm)],[c_0_11, c_0_36])). 0.67/0.73 cnf(c_0_39, negated_conjecture, (intersect(X1,esk1_0)|~member(esk4_2(esk1_0,esk2_0),X1)), inference(spm,[status(thm)],[c_0_13, c_0_37])). 0.67/0.73 cnf(c_0_40, negated_conjecture, (member(esk4_2(esk1_0,esk2_0),union(esk2_0,X1))), inference(spm,[status(thm)],[c_0_24, c_0_38])). 0.67/0.73 cnf(c_0_41, negated_conjecture, (intersect(union(esk2_0,X1),esk1_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.67/0.73 cnf(c_0_42, negated_conjecture, (intersect(esk1_0,union(esk2_0,X1))), inference(spm,[status(thm)],[c_0_20, c_0_41])). 0.67/0.73 cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_42])]), ['proof']). 0.67/0.73 % SZS output end Proof 0.67/0.73 % Total time : 0.029000 s 0.67/0.73 EOF