TSTP Solution File: SWW299+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW299+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 00:47:13 EDT 2022
% Result : Theorem 86.21s 83.46s
% Output : Proof 86.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW299+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 21:50:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 86.21/83.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.21/83.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.21/83.47
% 86.21/83.47 %-----------------------------------------------------
% 86.21/83.47 fof(conj_2, conjecture, ! [_1828877, _1828880] : (v_P(_1828877, _1828880) => ? [_1828898, _1828901] : (c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, _1828898, v_c, _1828901)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) & ! [_1828972] : (! [_1828980] : (hBOOL(hAPP(hAPP(_1828898, _1828980), _1828880)) => hBOOL(hAPP(hAPP(_1828901, _1828980), _1828972))) => v_Q(_1828877, _1828972)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)).
% 86.21/83.47 fof(fact_empty, axiom, ! [_1829909, _1829912] : c_Hoare__Mirabelle_Ohoare__derivs(_1829912, _1829909, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_1829912), tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty)).
% 86.21/83.47 fof(fact_doubleton__eq__iff, axiom, ! [_1830080, _1830083, _1830086, _1830089, _1830092] : (hAPP(hAPP(c_Set_Oinsert(_1830092), _1830089), hAPP(hAPP(c_Set_Oinsert(_1830092), _1830086), c_Orderings_Obot__class_Obot(tc_fun(_1830092, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_1830092), _1830083), hAPP(hAPP(c_Set_Oinsert(_1830092), _1830080), c_Orderings_Obot__class_Obot(tc_fun(_1830092, tc_HOL_Obool)))) <=> _1830089 = _1830083 & _1830086 = _1830080 | _1830089 = _1830080 & _1830086 = _1830083), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_doubleton__eq__iff)).
% 86.21/83.47 fof(fact_insert__commute, axiom, ! [_1830551, _1830554, _1830557, _1830560] : hAPP(hAPP(c_Set_Oinsert(_1830560), _1830557), hAPP(hAPP(c_Set_Oinsert(_1830560), _1830554), _1830551)) = hAPP(hAPP(c_Set_Oinsert(_1830560), _1830554), hAPP(hAPP(c_Set_Oinsert(_1830560), _1830557), _1830551)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_insert__commute)).
% 86.21/83.47 fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 86.21/83.47 fof(conj_1, hypothesis, ! [_1838410, _1838413] : (v_P(_1838410, _1838413) => ! [_1838431] : (! [_1838439] : (hBOOL(hAPP(hAPP(v_P_H, _1838439), _1838413)) => hBOOL(hAPP(hAPP(v_Q_H, _1838439), _1838431))) => v_Q(_1838410, _1838431))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
% 86.21/83.47
% 86.21/83.47 cnf(1, plain, [-(v_P(571 ^ [], 572 ^ []))], clausify(conj_2)).
% 86.21/83.47 cnf(2, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, _998461, v_c, _998462)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), v_Q(571 ^ [], 573 ^ [_998462, _998461])], clausify(conj_2)).
% 86.21/83.47 cnf(3, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, _998461, v_c, _998462)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), hBOOL(hAPP(hAPP(_998461, _998488), 572 ^ [])), -(hBOOL(hAPP(hAPP(_998462, _998488), 573 ^ [_998462, _998461])))], clausify(conj_2)).
% 86.21/83.47 cnf(4, plain, [-(_424561 = _424561)], theory(equality)).
% 86.21/83.47 cnf(5, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(_426346, _426348, _426350)), c_Hoare__Mirabelle_Ohoare__derivs(_426345, _426347, _426349), _426345 = _426346, _426347 = _426348, _426349 = _426350], theory(equality)).
% 86.21/83.47 cnf(6, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(_451832, _451831, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_451832), tc_HOL_Obool))))], clausify(fact_empty)).
% 86.21/83.47 cnf(7, plain, [hAPP(hAPP(c_Set_Oinsert(_452307), _452306), hAPP(hAPP(c_Set_Oinsert(_452307), _452305), c_Orderings_Obot__class_Obot(tc_fun(_452307, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_452307), _452304), hAPP(hAPP(c_Set_Oinsert(_452307), _452303), c_Orderings_Obot__class_Obot(tc_fun(_452307, tc_HOL_Obool)))), -(_452306 = _452304), -(_452305 = _452304)], clausify(fact_doubleton__eq__iff)).
% 86.21/83.47 cnf(8, plain, [-(hAPP(hAPP(c_Set_Oinsert(_452892), _452891), hAPP(hAPP(c_Set_Oinsert(_452892), _452890), _452889)) = hAPP(hAPP(c_Set_Oinsert(_452892), _452890), hAPP(hAPP(c_Set_Oinsert(_452892), _452891), _452889)))], clausify(fact_insert__commute)).
% 86.21/83.47 cnf(9, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))], clausify(conj_0)).
% 86.21/83.47 cnf(10, plain, [v_P(_828251, _828252), -(hBOOL(hAPP(hAPP(v_P_H, 570 ^ [_828256, _828252, _828251]), _828252))), -(v_Q(_828251, _828256))], clausify(conj_1)).
% 86.21/83.47 cnf(11, plain, [v_P(_828251, _828252), hBOOL(hAPP(hAPP(v_Q_H, 570 ^ [_828256, _828252, _828251]), _828256)), -(v_Q(_828251, _828256))], clausify(conj_1)).
% 86.21/83.47
% 86.21/83.47 cnf('1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), v_Q(571 ^ [], 573 ^ [v_Q_H, v_P_H])],start(2,bind([[_998462, _998461], [v_Q_H, v_P_H]]))).
% 86.21/83.47 cnf('1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), t_a = t_a, v_G = v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))],extension(5,bind([[_426345, _426346, _426347, _426348, _426349, _426350], [t_a, t_a, v_G, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))]]))).
% 86.21/83.47 cnf('1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), t_a = t_a, v_G = v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))],extension(5,bind([[_426345, _426346, _426347, _426348, _426349, _426350], [t_a, t_a, v_G, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))]]))).
% 86.21/83.47 cnf('1.1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))],extension(6,bind([[_451831, _451832], [v_G, t_a]]))).
% 86.21/83.47 cnf('1.1.1.2',plain,[-(t_a = t_a)],extension(4,bind([[_424561], [t_a]]))).
% 86.21/83.47 cnf('1.1.1.3',plain,[-(v_G = v_G)],extension(4,bind([[_424561], [v_G]]))).
% 86.21/83.47 cnf('1.1.1.4',plain,[-(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))],extension(4,bind([[_424561], [c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))]]))).
% 86.21/83.47 cnf('1.1.2',plain,[-(t_a = t_a)],extension(4,bind([[_424561], [t_a]]))).
% 86.21/83.47 cnf('1.1.3',plain,[-(v_G = v_G)],extension(4,bind([[_424561], [v_G]]))).
% 86.21/83.47 cnf('1.1.4',plain,[-(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), hAPP(hAPP(c_Set_Oinsert(_1802884), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(_1802884), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_1802884, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_1802884), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), hAPP(hAPP(c_Set_Oinsert(_1802884), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_1802884, tc_HOL_Obool)))), -(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))],extension(7,bind([[_452306, _452303, _452307, _452305, _452304], [c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), _1802884, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))]]))).
% 86.21/83.47 cnf('1.1.4.1',plain,[-(hAPP(hAPP(c_Set_Oinsert(_1802884), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(_1802884), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_1802884, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_1802884), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), hAPP(hAPP(c_Set_Oinsert(_1802884), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_1802884, tc_HOL_Obool)))))],extension(8,bind([[_452890, _452892, _452891, _452889], [hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), _1802884, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_1802884, tc_HOL_Obool))]]))).
% 86.21/83.47 cnf('1.1.4.2',plain,[hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), -(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), t_a = t_a, v_G = v_G],extension(5,bind([[_426350, _426349, _426345, _426346, _426347, _426348], [hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), t_a, t_a, v_G, v_G]]))).
% 86.21/83.47 cnf('1.1.4.2.1',plain,[c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))],reduction('1')).
% 86.21/83.47 cnf('1.1.4.2.2',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(9)).
% 86.21/83.47 cnf('1.1.4.2.3',plain,[-(t_a = t_a)],extension(4,bind([[_424561], [t_a]]))).
% 86.21/83.47 cnf('1.1.4.2.4',plain,[-(v_G = v_G)],extension(4,bind([[_424561], [v_G]]))).
% 86.21/83.47 cnf('1.2',plain,[-(v_Q(571 ^ [], 573 ^ [v_Q_H, v_P_H])), v_P(571 ^ [], 572 ^ []), -(hBOOL(hAPP(hAPP(v_P_H, 570 ^ [573 ^ [v_Q_H, v_P_H], 572 ^ [], 571 ^ []]), 572 ^ [])))],extension(10,bind([[_828256, _828251, _828252], [573 ^ [v_Q_H, v_P_H], 571 ^ [], 572 ^ []]]))).
% 86.21/83.47 cnf('1.2.1',plain,[-(v_P(571 ^ [], 572 ^ []))],extension(1)).
% 86.21/83.47 cnf('1.2.2',plain,[hBOOL(hAPP(hAPP(v_P_H, 570 ^ [573 ^ [v_Q_H, v_P_H], 572 ^ [], 571 ^ []]), 572 ^ [])), c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), -(hBOOL(hAPP(hAPP(v_Q_H, 570 ^ [573 ^ [v_Q_H, v_P_H], 572 ^ [], 571 ^ []]), 573 ^ [v_Q_H, v_P_H])))],extension(3,bind([[_998488, _998462, _998461], [570 ^ [573 ^ [v_Q_H, v_P_H], 572 ^ [], 571 ^ []], v_Q_H, v_P_H]]))).
% 86.21/83.47 cnf('1.2.2.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P_H, v_c, v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(9)).
% 86.21/83.47 cnf('1.2.2.2',plain,[hBOOL(hAPP(hAPP(v_Q_H, 570 ^ [573 ^ [v_Q_H, v_P_H], 572 ^ [], 571 ^ []]), 573 ^ [v_Q_H, v_P_H])), v_P(571 ^ [], 572 ^ []), -(v_Q(571 ^ [], 573 ^ [v_Q_H, v_P_H]))],extension(11,bind([[_828252, _828251, _828256], [572 ^ [], 571 ^ [], 573 ^ [v_Q_H, v_P_H]]]))).
% 86.21/83.47 cnf('1.2.2.2.1',plain,[-(v_P(571 ^ [], 572 ^ []))],extension(1)).
% 86.21/83.47 cnf('1.2.2.2.2',plain,[v_Q(571 ^ [], 573 ^ [v_Q_H, v_P_H])],reduction('1')).
% 86.21/83.47 %-----------------------------------------------------
% 86.21/83.48
% 86.21/83.48 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------