TSTP Solution File: SWW322+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW322+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 00:47:16 EDT 2022
% Result : Theorem 31.58s 31.40s
% Output : Proof 31.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWW322+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jun 5 19:12:49 EDT 2022
% 0.11/0.31 % CPUTime :
% 31.58/31.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.58/31.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.61/31.41
% 31.61/31.41 %-----------------------------------------------------
% 31.61/31.41 fof(conj_5, conjecture, c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_5)).
% 31.61/31.41 fof(fact_hoare__derivs_Oinsert, axiom, ! [_1740772, _1740775, _1740778, _1740781] : (c_Hoare__Mirabelle_Ohoare__derivs(_1740781, _1740778, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_1740781)), _1740775), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_1740781), tc_HOL_Obool)))) => c_Hoare__Mirabelle_Ohoare__derivs(_1740781, _1740778, _1740772) => c_Hoare__Mirabelle_Ohoare__derivs(_1740781, _1740778, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_1740781)), _1740775), _1740772))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_hoare__derivs_Oinsert)).
% 31.61/31.41 fof(conj_0, hypothesis, ! [_1747021] : (c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, _1747021)), hAPP(v_c0, _1747021)), hAPP(v_Q_H, _1747021))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) => c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, _1747021)), hAPP(v_c0, _1747021)), hAPP(v_Q, _1747021))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 31.61/31.41 fof(conj_4, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))) & c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)).
% 31.61/31.41 fof(conj_3, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)) => c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)).
% 31.61/31.41
% 31.61/31.41 cnf(1, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)))], clausify(conj_5)).
% 31.61/31.41 cnf(2, plain, [c_Hoare__Mirabelle_Ohoare__derivs(_453591, _453590, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_453591)), _453589), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_453591), tc_HOL_Obool)))), c_Hoare__Mirabelle_Ohoare__derivs(_453591, _453590, _453588), -(c_Hoare__Mirabelle_Ohoare__derivs(_453591, _453590, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_453591)), _453589), _453588)))], clausify(fact_hoare__derivs_Oinsert)).
% 31.61/31.41 cnf(3, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, _830913)), hAPP(v_c0, _830913)), hAPP(v_Q_H, _830913))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))), -(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, _830913)), hAPP(v_c0, _830913)), hAPP(v_Q, _830913))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))))], clausify(conj_0)).
% 31.61/31.41 cnf(4, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))))], clausify(conj_4)).
% 31.61/31.41 cnf(5, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)))], clausify(conj_4)).
% 31.61/31.41 cnf(6, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)), -(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)))], clausify(conj_3)).
% 31.61/31.41
% 31.61/31.41 cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)))],start(1)).
% 31.61/31.41 cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)))), c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))), c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F))],extension(2,bind([[_453589, _453591, _453590, _453588], [hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x)), t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F)]]))).
% 31.61/31.41 cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool))))],extension(3,bind([[_830913], [v_x]]))).
% 31.61/31.41 cnf('1.1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), hAPP(v_P_H, v_x)), hAPP(v_c0, v_x)), hAPP(v_Q_H, v_x))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b), tc_HOL_Obool)))))],extension(4)).
% 31.61/31.41 cnf('1.1.2',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P)), v_c0)), v_Q)), v_F))), c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F))],extension(6)).
% 31.61/31.41 cnf('1.1.2.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_b, v_G, hAPP(c_Set_Oimage(t_a, tc_Hoare__Mirabelle_Otriple(t_b), hAPP(hAPP(c_COMBS(t_a, tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b)), hAPP(hAPP(c_COMBS(t_a, tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), hAPP(hAPP(c_COMBB(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_b, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_b))), t_a), c_Hoare__Mirabelle_Otriple_Otriple(t_b)), v_P_H)), v_c0)), v_Q_H)), v_F)))],extension(5)).
% 31.61/31.41 %-----------------------------------------------------
% 31.61/31.42
% 31.61/31.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------