0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_epr.jar %d %s 0.09/0.29 % Computer : n013.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 960 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Thu Jul 2 07:05:03 EDT 2020 0.09/0.29 % CPUTime : 0.13/0.35 openjdk version "1.8.0_171" 0.13/0.35 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.13/0.35 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.13/0.36 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.45 start to proof:theBenchmark.p 0.21/0.54 % Version : CSE_E---1.2 0.21/0.54 % Problem : theBenchmark.p 0.21/0.54 % Proof found! 0.21/0.54 % SZS status Theorem for theBenchmark.p 0.21/0.54 % SZS output start Proof 0.21/0.54 fof(co1, conjecture, (~((((![X3]:(h(j(X3))=X3<=sorti2(X3))&![X4]:(sorti1(X4)=>X4=j(h(X4))))&![X5]:(![X6]:(sorti2(X6)=>j(op2(X5,X6))=op1(j(X5),j(X6)))<=sorti2(X5)))&![X7]:(sorti1(X7)=>![X8]:(op2(h(X7),h(X8))=h(op1(X7,X8))<=sorti1(X8)))))<=(![X2]:(sorti2(X2)=>sorti1(j(X2)))&![X1]:(sorti1(X1)=>sorti2(h(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)). 0.21/0.54 fof(ax1, axiom, ![X1]:(sorti1(X1)=>![X2]:(sorti1(op1(X1,X2))<=sorti1(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax1)). 0.21/0.54 fof(ax3, axiom, ?[X1]:(sorti1(X1)&![X2]:(sorti1(X2)=>X2!=op1(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)). 0.21/0.54 fof(ax4, axiom, ~(?[X1]:(sorti2(X1)&![X2]:(X2!=op2(X2,X1)<=sorti2(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)). 0.21/0.54 fof(c_0_4, negated_conjecture, ~((~((((![X3]:(h(j(X3))=X3<=sorti2(X3))&![X4]:(sorti1(X4)=>X4=j(h(X4))))&![X5]:(![X6]:(sorti2(X6)=>j(op2(X5,X6))=op1(j(X5),j(X6)))<=sorti2(X5)))&![X7]:(sorti1(X7)=>![X8]:(op2(h(X7),h(X8))=h(op1(X7,X8))<=sorti1(X8)))))<=(![X2]:(sorti2(X2)=>sorti1(j(X2)))&![X1]:(sorti1(X1)=>sorti2(h(X1)))))), inference(assume_negation,[status(cth)],[co1])). 0.21/0.54 fof(c_0_5, negated_conjecture, ![X11, X12, X13, X14, X15, X16, X17, X18]:(((~sorti2(X11)|sorti1(j(X11)))&(~sorti1(X12)|sorti2(h(X12))))&((((~sorti2(X13)|h(j(X13))=X13)&(~sorti1(X14)|X14=j(h(X14))))&(~sorti2(X15)|(~sorti2(X16)|j(op2(X15,X16))=op1(j(X15),j(X16)))))&(~sorti1(X17)|(~sorti1(X18)|op2(h(X17),h(X18))=h(op1(X17,X18)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])). 0.21/0.54 fof(c_0_6, plain, ![X21, X22]:(~sorti1(X21)|(~sorti1(X22)|sorti1(op1(X21,X22)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1])])])])). 0.21/0.54 fof(c_0_7, plain, ![X24]:(sorti1(esk2_0)&(~sorti1(X24)|X24!=op1(X24,esk2_0))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])). 0.21/0.54 cnf(c_0_8, negated_conjecture, (X1=j(h(X1))|~sorti1(X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.54 cnf(c_0_9, negated_conjecture, (op2(h(X1),h(X2))=h(op1(X1,X2))|~sorti1(X1)|~sorti1(X2)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.54 cnf(c_0_10, plain, (sorti1(op1(X1,X2))|~sorti1(X1)|~sorti1(X2)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.21/0.54 cnf(c_0_11, plain, (~sorti1(X1)|X1!=op1(X1,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.54 cnf(c_0_12, negated_conjecture, (op1(X1,X2)=j(op2(h(X1),h(X2)))|~sorti1(X2)|~sorti1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])). 0.21/0.54 cnf(c_0_13, plain, (sorti1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.21/0.54 cnf(c_0_14, negated_conjecture, (j(op2(h(X1),h(esk2_0)))!=X1|~sorti1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])])). 0.21/0.54 cnf(c_0_15, negated_conjecture, (h(j(X1))=X1|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.54 cnf(c_0_16, negated_conjecture, (sorti1(j(X1))|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.54 fof(c_0_17, plain, ![X9]:((sorti2(esk1_1(X9))|~sorti2(X9))&(esk1_1(X9)=op2(esk1_1(X9),X9)|~sorti2(X9))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax4])])])])])). 0.21/0.54 cnf(c_0_18, negated_conjecture, (j(op2(X1,h(esk2_0)))!=j(X1)|~sorti2(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 0.21/0.54 cnf(c_0_19, plain, (esk1_1(X1)=op2(esk1_1(X1),X1)|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.21/0.54 cnf(c_0_20, plain, (sorti2(esk1_1(X1))|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.21/0.54 cnf(c_0_21, negated_conjecture, (~sorti2(h(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])). 0.21/0.54 cnf(c_0_22, negated_conjecture, (sorti2(h(X1))|~sorti1(X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.21/0.54 cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_13])]), ['proof']). 0.21/0.54 % SZS output end Proof 0.21/0.54 % User time : 0.014 s 0.21/0.54 % System time : 0.002 s 0.21/0.54 % Total time : 0.016 s 0.21/0.54 0.21/0.56 EOF