0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : leancop_casc.sh %s %d 0.02/0.23 % Computer : n167.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:32:09 CDT 2018 0.02/0.23 % CPUTime : 32.71/32.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 32.71/32.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 32.71/32.92 32.71/32.92 %----------------------------------------------------- 32.71/32.92 fof(conj_4, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_4)). 32.71/32.92 fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ostate__not__singleton, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 32.71/32.92 fof(fact_WT_Oequations_I7_J, axiom, ! [_1404769] : (? [_1404777] : hAPP(c_Com_Obody, _1404769) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _1404777) <=> hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _1404769)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_WT_Oequations_I7_J)). 32.71/32.92 fof(fact_MGF, axiom, ! [_1405157] : (c_Hoare__Mirabelle_Ostate__not__singleton => c_Com_OWT__bodies => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, _1405157)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))) <= hBOOL(hAPP(c_Com_OWT, _1405157))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_MGF)). 32.71/32.92 fof(conj_1, hypothesis, c_Com_OWT__bodies, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 32.71/32.92 fof(conj_3, hypothesis, hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_3)). 32.71/32.92 32.71/32.92 cnf(1, plain, [c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))], clausify(conj_4)). 32.71/32.92 cnf(2, plain, [-(c_Hoare__Mirabelle_Ostate__not__singleton)], clausify(conj_0)). 32.71/32.92 cnf(3, plain, [hAPP(c_Com_Obody, _537056) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _537057), -(hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, _537056))))], clausify(fact_WT_Oequations_I7_J)). 32.71/32.92 cnf(4, plain, [c_Hoare__Mirabelle_Ostate__not__singleton, c_Com_OWT__bodies, hBOOL(hAPP(c_Com_OWT, _543651)), -(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, _543651)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))))], clausify(fact_MGF)). 32.71/32.92 cnf(5, plain, [-(c_Com_OWT__bodies)], clausify(conj_1)). 32.71/32.92 cnf(6, plain, [-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))], clausify(conj_3)). 32.71/32.92 32.71/32.92 cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))],start(1)). 32.71/32.92 cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, hAPP(c_Com_Ocom_OBODY, v_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ostate__not__singleton, c_Com_OWT__bodies, hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, v_pn)))],extension(4,bind([[_543651], [hAPP(c_Com_Ocom_OBODY, v_pn)]]))). 32.71/32.92 cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ostate__not__singleton)],extension(2)). 32.71/32.92 cnf('1.1.2',plain,[-(c_Com_OWT__bodies)],extension(5)). 32.71/32.92 cnf('1.1.3',plain,[-(hBOOL(hAPP(c_Com_OWT, hAPP(c_Com_Ocom_OBODY, v_pn)))), hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y)],extension(3,bind([[_537056, _537057], [v_pn, v_y]]))). 32.71/32.92 cnf('1.1.3.1',plain,[-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))],extension(6)). 32.71/32.92 %----------------------------------------------------- 32.71/32.93 32.71/32.93 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 32.71/32.93 EOF