0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.12/0.33 % Computer : n012.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 03:08:44 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.44 openjdk version "1.8.0_171" 0.18/0.44 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.44 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.45 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.55/0.68 start to proof: theBenchmark 0.65/1.07 % Version : CSE_E---1.4 0.65/1.07 % Problem : theBenchmark.p 0.65/1.07 % Proof found 0.65/1.07 % SZS status Theorem for theBenchmark.p 0.65/1.07 % SZS output start Proof 0.65/1.07 fof(fact_324_insert__subset, axiom, ![X1, X2, X3]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X2)),X3))<=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_324_insert__subset)). 0.65/1.07 fof(fact_238_insert__compr, axiom, ![X6, X3]:insert_a(X6,X3)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X6)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_238_insert__compr)). 0.65/1.07 fof(fact_307_imageI, axiom, ![X9, X1, X2]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X1)),image_pname_a(X9,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_307_imageI)). 0.65/1.07 fof(conj_6, conjecture, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_6)). 0.65/1.07 fof(conj_1, hypothesis, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 0.65/1.07 fof(conj_4, hypothesis, hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_4)). 0.65/1.07 fof(c_0_6, plain, ![X2771, X2772, X2773]:(((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2771),X2773))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2771,X2772)),X2773)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2772),X2773))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2771,X2772)),X2773))))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2771),X2773))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2772),X2773))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X2771,X2772)),X2773)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_insert__subset])])])). 0.65/1.07 fof(c_0_7, plain, ![X4109, X4110]:insert_a(X4109,X4110)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4109)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X4110))), inference(variable_rename,[status(thm)],[fact_238_insert__compr])). 0.65/1.07 cnf(c_0_8, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.65/1.07 cnf(c_0_9, plain, (insert_a(X1,X2)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.65/1.07 fof(c_0_10, plain, ![X2528, X2529, X2530]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2529),X2530))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2528,X2529)),image_pname_a(X2528,X2530)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_imageI])])). 0.65/1.07 fof(c_0_11, negated_conjecture, ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])])). 0.65/1.08 cnf(c_0_12, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_8, c_0_9])). 0.65/1.08 cnf(c_0_13, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[conj_1])). 0.65/1.08 cnf(c_0_14, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X3,X1)),image_pname_a(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.65/1.08 cnf(c_0_15, hypothesis, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))), inference(split_conjunct,[status(thm)],[conj_4])). 0.65/1.08 cnf(c_0_16, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.65/1.08 cnf(c_0_17, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(mgt_call,u)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.65/1.08 cnf(c_0_18, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,pn)),image_pname_a(X1,u)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.65/1.08 cnf(c_0_19, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))), inference(rw,[status(thm)],[c_0_16, c_0_9])). 0.65/1.08 cnf(c_0_20, hypothesis, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), ['proof']). 0.65/1.08 % SZS output end Proof 0.65/1.08 % Total time : 0.390000 s 0.65/1.08 EOF