0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_epr.jar %d %s 0.13/0.33 % Computer : n026.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 07:17:09 EDT 2020 0.13/0.33 % CPUTime : 0.19/0.44 openjdk version "1.8.0_171" 0.19/0.44 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.19/0.44 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.19/0.44 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.44/0.59 start to proof:theBenchmark.p 0.65/0.69 % Version : CSE_E---1.2 0.65/0.69 % Problem : theBenchmark.p 0.65/0.69 % Proof found! 0.65/0.69 % SZS status Theorem for theBenchmark.p 0.65/0.69 % SZS output start Proof 0.65/0.69 fof(conjecture_1, conjecture, ![X3, X1]:(element(times(X3,X1))<=(element(X1)&element(X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conjecture_1)). 0.65/0.69 fof(axiom_2, axiom, ![X1]:(element(X1)<=>?[X2]:(times(X1,X1)=X2×(X1,X2)=X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)). 0.65/0.69 fof(axiom_1, axiom, ![X3, X1, X2]:times(X1,times(X2,X3))=times(times(X3,X1),X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_1)). 0.65/0.69 fof(c_0_3, negated_conjecture, ~(![X3, X1]:(element(times(X3,X1))<=(element(X1)&element(X3)))), inference(assume_negation,[status(cth)],[conjecture_1])). 0.65/0.69 fof(c_0_4, plain, ![X4, X6, X7]:(((times(X4,X4)=esk1_1(X4)|~element(X4))&(times(X4,esk1_1(X4))=X4|~element(X4)))&(times(X6,X6)!=X7|times(X6,X7)!=X6|element(X6))), 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)],[axiom_2])])])])])])). 0.65/0.69 fof(c_0_5, negated_conjecture, ((element(esk3_0)&element(esk2_0))&~element(times(esk2_0,esk3_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])). 0.65/0.69 cnf(c_0_6, plain, (element(X1)|times(X1,X1)!=X2|times(X1,X2)!=X1), inference(split_conjunct,[status(thm)],[c_0_4])). 0.65/0.69 fof(c_0_7, plain, ![X8, X9, X10]:times(X9,times(X10,X8))=times(times(X8,X9),X10), inference(variable_rename,[status(thm)],[axiom_1])). 0.65/0.69 cnf(c_0_8, plain, (times(X1,X1)=esk1_1(X1)|~element(X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 0.65/0.69 cnf(c_0_9, negated_conjecture, (element(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.65/0.69 cnf(c_0_10, plain, (times(X1,esk1_1(X1))=X1|~element(X1)), inference(split_conjunct,[status(thm)],[c_0_4])). 0.65/0.69 cnf(c_0_11, plain, (element(X1)|times(X1,times(X1,X1))!=X1), inference(er,[status(thm)],[c_0_6])). 0.65/0.69 cnf(c_0_12, plain, (times(X1,times(X2,X3))=times(times(X3,X1),X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.65/0.69 cnf(c_0_13, negated_conjecture, (times(esk3_0,esk3_0)=esk1_1(esk3_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.65/0.69 cnf(c_0_14, plain, (times(X1,esk1_1(X1))=X1|times(X1,times(X1,X1))!=X1), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.65/0.69 cnf(c_0_15, negated_conjecture, (times(esk3_0,times(X1,esk3_0))=times(esk1_1(esk3_0),X1)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.65/0.69 cnf(c_0_16, negated_conjecture, (times(esk3_0,esk1_1(esk3_0))=esk3_0), inference(spm,[status(thm)],[c_0_10, c_0_9])). 0.65/0.69 cnf(c_0_17, negated_conjecture, (times(esk1_1(esk3_0),esk1_1(esk1_1(esk3_0)))=esk1_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_15]), c_0_13]), c_0_16]), c_0_13]), c_0_15]), c_0_15]), c_0_13]), c_0_16]), c_0_13])])). 0.65/0.69 cnf(c_0_18, negated_conjecture, (times(esk1_1(esk1_1(esk3_0)),times(X1,esk1_1(esk3_0)))=times(esk1_1(esk3_0),X1)), inference(spm,[status(thm)],[c_0_12, c_0_17])). 0.65/0.69 cnf(c_0_19, plain, (times(X1,times(times(X2,X3),X4))=times(times(X3,times(X4,X1)),X2)), inference(spm,[status(thm)],[c_0_12, c_0_12])). 0.65/0.69 cnf(c_0_20, negated_conjecture, (times(esk1_1(esk1_1(esk3_0)),esk3_0)=esk3_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_16]), c_0_15]), c_0_13]), c_0_16])). 0.65/0.69 cnf(c_0_21, plain, (times(times(X1,times(X2,X3)),X4)=times(X3,times(X1,times(X2,X4)))), inference(spm,[status(thm)],[c_0_19, c_0_12])). 0.65/0.69 cnf(c_0_22, negated_conjecture, (times(esk1_1(esk3_0),times(X1,esk3_0))=times(esk3_0,X1)), inference(spm,[status(thm)],[c_0_12, c_0_16])). 0.65/0.69 cnf(c_0_23, negated_conjecture, (element(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.65/0.69 cnf(c_0_24, negated_conjecture, (times(esk3_0,times(X1,esk1_1(esk1_1(esk3_0))))=times(esk3_0,X1)), inference(spm,[status(thm)],[c_0_12, c_0_20])). 0.65/0.69 cnf(c_0_25, negated_conjecture, (times(times(X1,esk3_0),X2)=times(esk1_1(esk3_0),times(X1,times(esk3_0,X2)))), inference(spm,[status(thm)],[c_0_21, c_0_16])). 0.65/0.69 cnf(c_0_26, negated_conjecture, (times(esk3_0,esk1_1(esk1_1(esk3_0)))=esk3_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_20]), c_0_15]), c_0_13]), c_0_16])). 0.65/0.69 cnf(c_0_27, negated_conjecture, (~element(times(esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.65/0.69 cnf(c_0_28, negated_conjecture, (times(esk2_0,esk2_0)=esk1_1(esk2_0)), inference(spm,[status(thm)],[c_0_8, c_0_23])). 0.65/0.69 cnf(c_0_29, negated_conjecture, (times(esk3_0,times(esk3_0,X1))=times(esk3_0,times(X1,esk3_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_22])). 0.65/0.69 cnf(c_0_30, negated_conjecture, (times(esk3_0,times(times(esk3_0,esk1_1(esk2_0)),times(esk2_0,esk3_0)))!=times(esk2_0,esk3_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_11]), c_0_12]), c_0_12]), c_0_28]), c_0_12]), c_0_12])). 0.65/0.69 cnf(c_0_31, plain, (times(X1,times(X2,times(X3,X4)))=times(times(X3,X1),times(X4,X2))), inference(spm,[status(thm)],[c_0_12, c_0_12])). 0.65/0.69 cnf(c_0_32, plain, (times(X1,times(X2,times(X3,X4)))=times(times(X4,times(X1,X3)),X2)), inference(spm,[status(thm)],[c_0_12, c_0_12])). 0.65/0.69 cnf(c_0_33, negated_conjecture, (times(esk1_1(esk3_0),X1)=times(esk3_0,times(esk3_0,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_29]), c_0_13])). 0.65/0.69 cnf(c_0_34, negated_conjecture, (times(esk3_0,times(esk1_1(esk2_0),times(esk3_0,times(esk3_0,esk2_0))))!=times(esk2_0,esk3_0)), inference(rw,[status(thm)],[c_0_30, c_0_31])). 0.65/0.69 cnf(c_0_35, plain, (times(X1,times(X2,times(X3,X4)))=times(X3,times(X4,times(X1,X2)))), inference(rw,[status(thm)],[c_0_32, c_0_21])). 0.65/0.69 cnf(c_0_36, negated_conjecture, (times(esk2_0,times(X1,esk2_0))=times(esk1_1(esk2_0),X1)), inference(spm,[status(thm)],[c_0_12, c_0_28])). 0.65/0.69 cnf(c_0_37, negated_conjecture, (times(esk2_0,esk1_1(esk2_0))=esk2_0), inference(spm,[status(thm)],[c_0_10, c_0_23])). 0.65/0.69 cnf(c_0_38, negated_conjecture, (times(esk3_0,times(esk3_0,times(X1,esk3_0)))=times(esk3_0,X1)), inference(rw,[status(thm)],[c_0_22, c_0_33])). 0.65/0.69 cnf(c_0_39, negated_conjecture, (times(esk2_0,esk3_0)!=times(esk3_0,times(esk3_0,times(esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_35]), c_0_28]), c_0_37])). 0.65/0.69 cnf(c_0_40, negated_conjecture, (times(esk3_0,X1)=times(X1,esk3_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_38]), c_0_13]), c_0_16])). 0.65/0.69 cnf(c_0_41, negated_conjecture, (times(esk3_0,times(esk3_0,times(esk3_0,esk2_0)))!=times(esk3_0,esk2_0)), inference(rw,[status(thm)],[c_0_39, c_0_40])). 0.65/0.69 cnf(c_0_42, negated_conjecture, (times(esk3_0,times(esk3_0,times(esk3_0,X1)))=times(esk3_0,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_12]), c_0_13]), c_0_33])). 0.65/0.69 cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])]), ['proof']). 0.65/0.69 % SZS output end Proof 0.65/0.69 % User time : 0.019 s 0.65/0.69 % System time : 0.004 s 0.65/0.69 % Total time : 0.023 s 0.65/0.69 0.65/0.71 EOF