TSTP Solution File: SWW382+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW382+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:47:22 EDT 2022
% Result : Theorem 189.34s 183.00s
% Output : Proof 189.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW382+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.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 : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 23:58:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 189.34/183.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 189.43/183.01 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 189.43/183.01
% 189.43/183.01 %-----------------------------------------------------
% 189.43/183.01 fof(conj_5, 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_5)).
% 189.43/183.01 fof(fact_hoare__derivs_Oequations_I1_J, axiom, ! [_1206791, _1206794] : c_Hoare__Mirabelle_Ohoare__derivs(_1206794, _1206791, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_1206794), tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_hoare__derivs_Oequations_I1_J)).
% 189.43/183.01 fof(conj_1, hypothesis, c_Com_OWT__bodies, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
% 189.43/183.01 fof(fact_cut, axiom, ! [_1207840, _1207843, _1207846, _1207849] : (c_Hoare__Mirabelle_Ohoare__derivs(_1207849, _1207846, _1207843) => c_Hoare__Mirabelle_Ohoare__derivs(_1207849, _1207840, _1207846) => c_Hoare__Mirabelle_Ohoare__derivs(_1207849, _1207840, _1207843)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_cut)).
% 189.43/183.01 fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ostate__not__singleton, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 189.43/183.01 fof(conj_7, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), 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_7)).
% 189.43/183.01 fof(fact_MGF, axiom, ! [_1211277] : (c_Hoare__Mirabelle_Ostate__not__singleton => c_Com_OWT__bodies => hBOOL(hAPP(c_Com_OWT, _1211277)) => 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, _1211277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_MGF)).
% 189.43/183.01 fof(fact_WT__bodiesD, axiom, ! [_1214381, _1214384] : (c_Com_OWT__bodies => hAPP(c_Com_Obody, _1214384) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _1214381) => hBOOL(hAPP(c_Com_OWT, _1214381))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_WT__bodiesD)).
% 189.43/183.01
% 189.43/183.01 cnf(1, plain, [-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))], clausify(conj_5)).
% 189.43/183.01 cnf(2, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(_436421, _436420, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_436421), tc_HOL_Obool))))], clausify(fact_hoare__derivs_Oequations_I1_J)).
% 189.43/183.01 cnf(3, plain, [-(c_Com_OWT__bodies)], clausify(conj_1)).
% 189.43/183.01 cnf(4, plain, [c_Hoare__Mirabelle_Ohoare__derivs(_436524, _436523, _436522), c_Hoare__Mirabelle_Ohoare__derivs(_436524, _436521, _436523), -(c_Hoare__Mirabelle_Ohoare__derivs(_436524, _436521, _436522))], clausify(fact_cut)).
% 189.43/183.01 cnf(5, plain, [-(c_Hoare__Mirabelle_Ostate__not__singleton)], clausify(conj_0)).
% 189.43/183.01 cnf(6, plain, [c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))], clausify(conj_7)).
% 189.43/183.01 cnf(7, plain, [c_Hoare__Mirabelle_Ostate__not__singleton, c_Com_OWT__bodies, hBOOL(hAPP(c_Com_OWT, _439190)), -(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, _439190)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))))], clausify(fact_MGF)).
% 189.43/183.01 cnf(8, plain, [c_Com_OWT__bodies, hAPP(c_Com_Obody, _442061) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), _442060), -(hBOOL(hAPP(c_Com_OWT, _442060)))], clausify(fact_WT__bodiesD)).
% 189.43/183.01
% 189.43/183.01 cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))],start(6)).
% 189.43/183.01 cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))), 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, v_y)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))), c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool)))],extension(4,bind([[_436522, _436524, _436521, _436523], [hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), hAPP(c_Hoare__Mirabelle_OMGT, v_y)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))), tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))]]))).
% 189.43/183.01 cnf('1.1.1',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, v_y)), 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, v_y))],extension(7,bind([[_439190], [v_y]]))).
% 189.43/183.01 cnf('1.1.1.1',plain,[-(c_Hoare__Mirabelle_Ostate__not__singleton)],extension(5)).
% 189.43/183.01 cnf('1.1.1.2',plain,[-(c_Com_OWT__bodies)],extension(3)).
% 189.43/183.01 cnf('1.1.1.3',plain,[-(hBOOL(hAPP(c_Com_OWT, v_y))), c_Com_OWT__bodies, hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y)],extension(8,bind([[_442061, _442060], [v_pn, v_y]]))).
% 189.43/183.01 cnf('1.1.1.3.1',plain,[-(c_Com_OWT__bodies)],extension(3)).
% 189.43/183.01 cnf('1.1.1.3.2',plain,[-(hAPP(c_Com_Obody, v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom), v_y))],extension(1)).
% 189.43/183.01 cnf('1.1.2',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_HOL_Obool))))],extension(2,bind([[_436420, _436421], [hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), hAPP(hAPP(c_COMBB(tc_Com_Ocom, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_Com_Opname), c_Hoare__Mirabelle_OMGT), c_Com_Ocom_OBODY)), c_Map_Odom(tc_Com_Opname, tc_Com_Ocom, c_Com_Obody)), tc_Com_Ostate]]))).
% 189.43/183.01 %-----------------------------------------------------
% 189.43/183.02
% 189.43/183.02 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------