TSTP Solution File: SWW316+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW316+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 00:47:15 EDT 2022
% Result : Theorem 31.42s 30.57s
% Output : Proof 31.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW316+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.15 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 18:28:51 EDT 2022
% 0.14/0.36 % CPUTime :
% 31.42/30.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.42/30.58 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.42/30.59
% 31.42/30.59 %-----------------------------------------------------
% 31.42/30.59 fof(conj_3, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_3)).
% 31.42/30.59 fof(fact_asm, axiom, ! [_1665300, _1665303, _1665306] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_1665306), tc_HOL_Obool)), _1665303), _1665300)) => c_Hoare__Mirabelle_Ohoare__derivs(_1665306, _1665300, _1665303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_asm)).
% 31.42/30.59 fof(fact_cut, axiom, ! [_1665524, _1665527, _1665530, _1665533] : (c_Hoare__Mirabelle_Ohoare__derivs(_1665533, _1665530, _1665527) => c_Hoare__Mirabelle_Ohoare__derivs(_1665533, _1665524, _1665530) => c_Hoare__Mirabelle_Ohoare__derivs(_1665533, _1665524, _1665527)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_cut)).
% 31.42/30.59 fof(fact_hoare__derivs_OBody, axiom, ! [_1665741, _1665744, _1665747, _1665750, _1665753] : (c_Hoare__Mirabelle_Ohoare__derivs(_1665753, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_1665753), tc_HOL_Obool)), _1665750), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_1665753), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), hAPP(hAPP(c_COMBB(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_1665753)), _1665747)), c_Com_Ocom_OBODY)), _1665744)), _1665741)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_1665753), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), hAPP(hAPP(c_COMBB(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_1665753)), _1665747)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _1665744)), _1665741)) => c_Hoare__Mirabelle_Ohoare__derivs(_1665753, _1665750, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_1665753), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), hAPP(hAPP(c_COMBB(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_1665753, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_1665753))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_1665753)), _1665747)), c_Com_Ocom_OBODY)), _1665744)), _1665741))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_hoare__derivs_OBody)).
% 31.42/30.59 fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 31.42/30.59 fof(conj_2, hypothesis, hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)).
% 31.42/30.59
% 31.42/30.59 cnf(1, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))], clausify(conj_3)).
% 31.42/30.59 cnf(2, plain, [hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_453286), tc_HOL_Obool)), _453285), _453284)), -(c_Hoare__Mirabelle_Ohoare__derivs(_453286, _453284, _453285))], clausify(fact_asm)).
% 31.42/30.59 cnf(3, plain, [c_Hoare__Mirabelle_Ohoare__derivs(_453392, _453391, _453390), c_Hoare__Mirabelle_Ohoare__derivs(_453392, _453389, _453391), -(c_Hoare__Mirabelle_Ohoare__derivs(_453392, _453389, _453390))], clausify(fact_cut)).
% 31.42/30.59 cnf(4, plain, [c_Hoare__Mirabelle_Ohoare__derivs(_453441, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_453441), tc_HOL_Obool)), _453440), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_453441), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), hAPP(hAPP(c_COMBB(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_453441)), _453439)), c_Com_Ocom_OBODY)), _453438)), _453437)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_453441), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), hAPP(hAPP(c_COMBB(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_453441)), _453439)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _453438)), _453437)), -(c_Hoare__Mirabelle_Ohoare__derivs(_453441, _453440, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_453441), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), hAPP(hAPP(c_COMBB(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_453441, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_453441))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_453441)), _453439)), c_Com_Ocom_OBODY)), _453438)), _453437)))], clausify(fact_hoare__derivs_OBody)).
% 31.42/30.59 cnf(5, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)))], clausify(conj_0)).
% 31.42/30.59 cnf(6, plain, [-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)))], clausify(conj_2)).
% 31.42/30.59
% 31.42/30.59 cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))],start(1)).
% 31.42/30.59 cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_G)],extension(3,bind([[_453390, _453392, _453389, _453391], [hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs), t_a, v_Ga, v_G]]))).
% 31.42/30.59 cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs))],extension(4,bind([[_453440, _453441, _453439, _453438, _453437], [v_G, t_a, v_P, v_Q, v_Procs]]))).
% 31.42/30.59 cnf('1.1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)))],extension(5)).
% 31.42/30.59 cnf('1.1.2',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_G)), hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga))],extension(2,bind([[_453286, _453285, _453284], [t_a, v_G, v_Ga]]))).
% 31.42/30.59 cnf('1.1.2.1',plain,[-(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)))],extension(6)).
% 31.42/30.59 %-----------------------------------------------------
% 31.42/30.59
% 31.42/30.60 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------