0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_epr.jar %d %s 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 07:15:28 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.46 openjdk version "1.8.0_171" 0.20/0.46 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.20/0.46 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.20/0.46 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.43/0.58 start to proof:theBenchmark.p 0.62/0.78 % Version : CSE_E---1.2 0.62/0.78 % Problem : theBenchmark.p 0.62/0.78 % Proof found! 0.62/0.78 % SZS status Theorem for theBenchmark.p 0.62/0.78 % SZS output start Proof 0.62/0.78 fof(goal_to_be_proved, conjecture, goal, file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_to_be_proved)). 0.62/0.78 fof(found, axiom, ![X1]:((transitive_reflexive_rewrite(b,X1)&transitive_reflexive_rewrite(c,X1))=>goal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', found)). 0.62/0.78 fof(transitivity_of_transitive_reflexive_rewrite, axiom, ![X1, X2, X3]:(transitive_reflexive_rewrite(X1,X3)<=(transitive_reflexive_rewrite(X2,X3)&transitive_reflexive_rewrite(X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', transitivity_of_transitive_reflexive_rewrite)). 0.62/0.78 fof(ih_cfl, axiom, ![X1, X2, X3]:(?[X4]:(transitive_reflexive_rewrite(X2,X4)&transitive_reflexive_rewrite(X3,X4))<=((transitive_reflexive_rewrite(X1,X2)&transitive_reflexive_rewrite(X1,X3))&rewrite(a,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ih_cfl)). 0.62/0.78 fof(lo_cfl, axiom, ![X1, X2, X3]:((rewrite(X1,X2)&rewrite(X1,X3))=>?[X4]:(transitive_reflexive_rewrite(X3,X4)&transitive_reflexive_rewrite(X2,X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lo_cfl)). 0.62/0.78 fof(equalish_or_rewrite, axiom, ![X1, X2]:((equalish(X1,X2)|?[X3]:(rewrite(X1,X3)&transitive_reflexive_rewrite(X3,X2)))<=transitive_reflexive_rewrite(X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equalish_or_rewrite)). 0.62/0.78 fof(assumption, axiom, (transitive_reflexive_rewrite(a,c)&transitive_reflexive_rewrite(a,b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', assumption)). 0.62/0.78 fof(symmetry, axiom, ![X1, X2]:(equalish(X1,X2)=>equalish(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry)). 0.62/0.78 fof(equality_in_transitive_reflexive_rewrite, axiom, ![X1, X2]:(transitive_reflexive_rewrite(X1,X2)<=equalish(X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equality_in_transitive_reflexive_rewrite)). 0.62/0.78 fof(reflexivity, axiom, ![X1]:equalish(X1,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity)). 0.62/0.78 fof(c_0_10, negated_conjecture, ~(goal), inference(assume_negation,[status(cth)],[goal_to_be_proved])). 0.62/0.78 fof(c_0_11, plain, ![X12]:(~transitive_reflexive_rewrite(b,X12)|~transitive_reflexive_rewrite(c,X12)|goal), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[found])])). 0.62/0.78 fof(c_0_12, negated_conjecture, ~goal, inference(fof_simplification,[status(thm)],[c_0_10])). 0.62/0.78 fof(c_0_13, plain, ![X5, X6, X7]:(~transitive_reflexive_rewrite(X6,X7)|~transitive_reflexive_rewrite(X5,X6)|transitive_reflexive_rewrite(X5,X7)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[transitivity_of_transitive_reflexive_rewrite])])])). 0.62/0.78 fof(c_0_14, plain, ![X18, X19, X20]:((transitive_reflexive_rewrite(X19,esk2_3(X18,X19,X20))|(~transitive_reflexive_rewrite(X18,X19)|~transitive_reflexive_rewrite(X18,X20)|~rewrite(a,X18)))&(transitive_reflexive_rewrite(X20,esk2_3(X18,X19,X20))|(~transitive_reflexive_rewrite(X18,X19)|~transitive_reflexive_rewrite(X18,X20)|~rewrite(a,X18)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ih_cfl])])])])])). 0.62/0.78 cnf(c_0_15, plain, (goal|~transitive_reflexive_rewrite(b,X1)|~transitive_reflexive_rewrite(c,X1)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.62/0.78 cnf(c_0_16, negated_conjecture, (~goal), inference(split_conjunct,[status(thm)],[c_0_12])). 0.62/0.78 cnf(c_0_17, plain, (transitive_reflexive_rewrite(X3,X2)|~transitive_reflexive_rewrite(X1,X2)|~transitive_reflexive_rewrite(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.62/0.78 cnf(c_0_18, plain, (transitive_reflexive_rewrite(X1,esk2_3(X2,X3,X1))|~transitive_reflexive_rewrite(X2,X3)|~transitive_reflexive_rewrite(X2,X1)|~rewrite(a,X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.62/0.78 fof(c_0_19, plain, ![X8, X9, X10]:((transitive_reflexive_rewrite(X10,esk1_3(X8,X9,X10))|(~rewrite(X8,X9)|~rewrite(X8,X10)))&(transitive_reflexive_rewrite(X9,esk1_3(X8,X9,X10))|(~rewrite(X8,X9)|~rewrite(X8,X10)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lo_cfl])])])])). 0.62/0.78 cnf(c_0_20, plain, (~transitive_reflexive_rewrite(b,X1)|~transitive_reflexive_rewrite(c,X1)), inference(sr,[status(thm)],[c_0_15, c_0_16])). 0.62/0.78 cnf(c_0_21, plain, (transitive_reflexive_rewrite(X1,esk2_3(X2,X1,X3))|~transitive_reflexive_rewrite(X2,X1)|~transitive_reflexive_rewrite(X2,X3)|~rewrite(a,X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.62/0.78 cnf(c_0_22, plain, (transitive_reflexive_rewrite(X1,X2)|~rewrite(a,X3)|~transitive_reflexive_rewrite(esk2_3(X3,X4,X1),X2)|~transitive_reflexive_rewrite(X3,X4)|~transitive_reflexive_rewrite(X3,X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.62/0.78 cnf(c_0_23, plain, (transitive_reflexive_rewrite(X1,esk1_3(X2,X3,X1))|~rewrite(X2,X3)|~rewrite(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.62/0.78 cnf(c_0_24, plain, (~rewrite(a,X1)|~transitive_reflexive_rewrite(b,esk2_3(X1,c,X2))|~transitive_reflexive_rewrite(X1,c)|~transitive_reflexive_rewrite(X1,X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.62/0.78 cnf(c_0_25, plain, (transitive_reflexive_rewrite(X1,esk2_3(X2,X3,esk2_3(X4,X5,X1)))|~rewrite(a,X4)|~rewrite(a,X2)|~transitive_reflexive_rewrite(X2,esk2_3(X4,X5,X1))|~transitive_reflexive_rewrite(X4,X5)|~transitive_reflexive_rewrite(X4,X1)|~transitive_reflexive_rewrite(X2,X3)), inference(spm,[status(thm)],[c_0_22, c_0_18])). 0.62/0.78 cnf(c_0_26, plain, (transitive_reflexive_rewrite(X1,X2)|~rewrite(X3,X4)|~rewrite(X3,X1)|~transitive_reflexive_rewrite(esk1_3(X3,X4,X1),X2)), inference(spm,[status(thm)],[c_0_17, c_0_23])). 0.62/0.78 cnf(c_0_27, plain, (~rewrite(a,X1)|~rewrite(a,X2)|~transitive_reflexive_rewrite(X1,esk2_3(X2,X3,b))|~transitive_reflexive_rewrite(X1,c)|~transitive_reflexive_rewrite(X2,b)|~transitive_reflexive_rewrite(X2,X3)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.62/0.78 cnf(c_0_28, plain, (transitive_reflexive_rewrite(X1,esk2_3(X2,esk1_3(X3,X4,X1),X5))|~rewrite(a,X2)|~rewrite(X3,X4)|~rewrite(X3,X1)|~transitive_reflexive_rewrite(X2,esk1_3(X3,X4,X1))|~transitive_reflexive_rewrite(X2,X5)), inference(spm,[status(thm)],[c_0_26, c_0_21])). 0.62/0.78 fof(c_0_29, plain, ![X22, X23]:((rewrite(X22,esk3_2(X22,X23))|equalish(X22,X23)|~transitive_reflexive_rewrite(X22,X23))&(transitive_reflexive_rewrite(esk3_2(X22,X23),X23)|equalish(X22,X23)|~transitive_reflexive_rewrite(X22,X23))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[equalish_or_rewrite])])])])])). 0.62/0.78 cnf(c_0_30, plain, (~rewrite(a,X1)|~rewrite(a,X2)|~rewrite(X3,X4)|~rewrite(X3,X1)|~transitive_reflexive_rewrite(X2,esk1_3(X3,X4,X1))|~transitive_reflexive_rewrite(X1,c)|~transitive_reflexive_rewrite(X2,b)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.62/0.78 cnf(c_0_31, plain, (transitive_reflexive_rewrite(X1,esk1_3(X2,X1,X3))|~rewrite(X2,X1)|~rewrite(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.62/0.78 cnf(c_0_32, plain, (rewrite(X1,esk3_2(X1,X2))|equalish(X1,X2)|~transitive_reflexive_rewrite(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.62/0.78 cnf(c_0_33, plain, (transitive_reflexive_rewrite(a,c)), inference(split_conjunct,[status(thm)],[assumption])). 0.62/0.78 cnf(c_0_34, plain, (transitive_reflexive_rewrite(esk3_2(X1,X2),X2)|equalish(X1,X2)|~transitive_reflexive_rewrite(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.62/0.78 cnf(c_0_35, plain, (~rewrite(a,X1)|~rewrite(a,X2)|~rewrite(X3,X2)|~rewrite(X3,X1)|~transitive_reflexive_rewrite(X1,c)|~transitive_reflexive_rewrite(X2,b)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.62/0.78 cnf(c_0_36, plain, (equalish(a,c)|rewrite(a,esk3_2(a,c))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.62/0.78 cnf(c_0_37, plain, (equalish(a,c)|transitive_reflexive_rewrite(esk3_2(a,c),c)), inference(spm,[status(thm)],[c_0_34, c_0_33])). 0.62/0.78 cnf(c_0_38, plain, (transitive_reflexive_rewrite(a,b)), inference(split_conjunct,[status(thm)],[assumption])). 0.62/0.78 cnf(c_0_39, plain, (equalish(a,c)|~rewrite(X1,esk3_2(a,c))|~rewrite(a,X2)|~rewrite(X1,X2)|~transitive_reflexive_rewrite(X2,b)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])). 0.62/0.78 cnf(c_0_40, plain, (equalish(a,b)|rewrite(a,esk3_2(a,b))), inference(spm,[status(thm)],[c_0_32, c_0_38])). 0.62/0.78 cnf(c_0_41, plain, (equalish(a,b)|transitive_reflexive_rewrite(esk3_2(a,b),b)), inference(spm,[status(thm)],[c_0_34, c_0_38])). 0.62/0.78 fof(c_0_42, plain, ![X16, X17]:(~equalish(X16,X17)|equalish(X17,X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry])])). 0.62/0.78 cnf(c_0_43, plain, (equalish(a,b)|equalish(a,c)|~rewrite(X1,esk3_2(a,c))|~rewrite(X1,esk3_2(a,b))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])). 0.62/0.78 fof(c_0_44, plain, ![X25, X26]:(~equalish(X25,X26)|transitive_reflexive_rewrite(X25,X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[equality_in_transitive_reflexive_rewrite])])])). 0.62/0.78 cnf(c_0_45, plain, (equalish(X2,X1)|~equalish(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])). 0.62/0.78 cnf(c_0_46, plain, (equalish(a,c)|equalish(a,b)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_36]), c_0_40])). 0.62/0.78 cnf(c_0_47, plain, (transitive_reflexive_rewrite(X1,X2)|~equalish(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_44])). 0.62/0.78 cnf(c_0_48, plain, (equalish(a,b)|equalish(c,a)), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.62/0.78 cnf(c_0_49, plain, (equalish(a,b)|transitive_reflexive_rewrite(c,a)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.62/0.78 cnf(c_0_50, plain, (equalish(b,a)|transitive_reflexive_rewrite(c,a)), inference(spm,[status(thm)],[c_0_45, c_0_49])). 0.62/0.78 cnf(c_0_51, plain, (transitive_reflexive_rewrite(c,a)|transitive_reflexive_rewrite(b,a)), inference(spm,[status(thm)],[c_0_47, c_0_50])). 0.62/0.78 fof(c_0_52, plain, ![X15]:equalish(X15,X15), inference(variable_rename,[status(thm)],[reflexivity])). 0.62/0.78 cnf(c_0_53, plain, (transitive_reflexive_rewrite(b,a)|transitive_reflexive_rewrite(c,X1)|~transitive_reflexive_rewrite(a,X1)), inference(spm,[status(thm)],[c_0_17, c_0_51])). 0.62/0.78 cnf(c_0_54, plain, (equalish(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_52])). 0.62/0.78 cnf(c_0_55, plain, (transitive_reflexive_rewrite(c,b)|transitive_reflexive_rewrite(b,a)), inference(spm,[status(thm)],[c_0_53, c_0_38])). 0.62/0.78 cnf(c_0_56, plain, (transitive_reflexive_rewrite(X1,X1)), inference(spm,[status(thm)],[c_0_47, c_0_54])). 0.62/0.78 cnf(c_0_57, plain, (transitive_reflexive_rewrite(b,a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_55]), c_0_56])])). 0.62/0.78 cnf(c_0_58, plain, (~transitive_reflexive_rewrite(b,c)), inference(spm,[status(thm)],[c_0_20, c_0_56])). 0.62/0.78 cnf(c_0_59, plain, (transitive_reflexive_rewrite(b,X1)|~transitive_reflexive_rewrite(a,X1)), inference(spm,[status(thm)],[c_0_17, c_0_57])). 0.62/0.78 cnf(c_0_60, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_33])]), ['proof']). 0.62/0.78 % SZS output end Proof 0.62/0.78 % User time : 0.119 s 0.62/0.78 % System time : 0.005 s 0.62/0.78 % Total time : 0.124 s 0.62/0.78 0.62/0.80 EOF