TSTP Solution File: SWW391+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW391+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 00:47:23 EDT 2022
% Result : Theorem 31.06s 30.51s
% Output : Proof 31.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW391+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 08:41:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 31.06/30.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.06/30.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.06/30.52
% 31.06/30.52 %-----------------------------------------------------
% 31.06/30.52 fof(conj_2, conjecture, ! [_1736698, _1736701] : (hBOOL(hAPP(hAPP(v_P, _1736698), _1736701)) | hBOOL(hAPP(hAPP(v_P_H, _1736698), _1736701)) => ? [_1736751, _1736754] : (c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), _1736751), v_c), _1736754)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) & ! [_1736837] : (! [_1736845] : (hBOOL(hAPP(hAPP(_1736751, _1736845), _1736701)) => hBOOL(hAPP(hAPP(_1736754, _1736845), _1736837))) => hBOOL(hAPP(hAPP(v_Q, _1736698), _1736837)) | hBOOL(hAPP(hAPP(v_Q_H, _1736698), _1736837))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)).
% 31.06/30.52 fof(conj_0, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), v_c), v_Q)), 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)).
% 31.06/30.52 fof(conj_1, hypothesis, c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(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_1)).
% 31.06/30.52
% 31.06/30.52 cnf(1, plain, [-(1863 ^ [_1022812, _1022811]), hBOOL(hAPP(hAPP(_1022811, _1022847), 1861 ^ [])), -(hBOOL(hAPP(hAPP(_1022812, _1022847), 1862 ^ [_1022812, _1022811])))], clausify(conj_2)).
% 31.06/30.52 cnf(2, plain, [-(1863 ^ [_1022812, _1022811]), hBOOL(hAPP(hAPP(v_Q_H, 1860 ^ []), 1862 ^ [_1022812, _1022811]))], clausify(conj_2)).
% 31.06/30.52 cnf(3, plain, [-(1863 ^ [_1022812, _1022811]), hBOOL(hAPP(hAPP(v_Q, 1860 ^ []), 1862 ^ [_1022812, _1022811]))], clausify(conj_2)).
% 31.06/30.52 cnf(4, plain, [-(hBOOL(hAPP(hAPP(v_P, 1860 ^ []), 1861 ^ []))), -(hBOOL(hAPP(hAPP(v_P_H, 1860 ^ []), 1861 ^ [])))], clausify(conj_2)).
% 31.06/30.52 cnf(5, plain, [c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), _1022811), v_c), _1022812)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), 1863 ^ [_1022812, _1022811]], clausify(conj_2)).
% 31.06/30.52 cnf(6, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), v_c), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))], clausify(conj_0)).
% 31.06/30.52 cnf(7, plain, [-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(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_1)).
% 31.06/30.52
% 31.06/30.52 cnf('1',plain,[-(hBOOL(hAPP(hAPP(v_P, 1860 ^ []), 1861 ^ []))), -(hBOOL(hAPP(hAPP(v_P_H, 1860 ^ []), 1861 ^ [])))],start(4)).
% 31.06/30.52 cnf('1.1',plain,[hBOOL(hAPP(hAPP(v_P, 1860 ^ []), 1861 ^ [])), -(1863 ^ [v_Q, v_P]), -(hBOOL(hAPP(hAPP(v_Q, 1860 ^ []), 1862 ^ [v_Q, v_P])))],extension(1,bind([[_1022847, _1022812, _1022811], [1860 ^ [], v_Q, v_P]]))).
% 31.06/30.52 cnf('1.1.1',plain,[1863 ^ [v_Q, v_P], c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), v_c), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))))],extension(5,bind([[_1022811, _1022812], [v_P, v_Q]]))).
% 31.06/30.52 cnf('1.1.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), v_P), v_c), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(6)).
% 31.06/30.52 cnf('1.1.2',plain,[hBOOL(hAPP(hAPP(v_Q, 1860 ^ []), 1862 ^ [v_Q, v_P])), -(1863 ^ [v_Q, v_P])],extension(3,bind([[_1022812, _1022811], [v_Q, v_P]]))).
% 31.06/30.52 cnf('1.1.2.1',plain,[1863 ^ [v_Q, v_P]],lemmata('1.1')).
% 31.06/30.52 cnf('1.2',plain,[hBOOL(hAPP(hAPP(v_P_H, 1860 ^ []), 1861 ^ [])), -(1863 ^ [v_Q_H, v_P_H]), -(hBOOL(hAPP(hAPP(v_Q_H, 1860 ^ []), 1862 ^ [v_Q_H, v_P_H])))],extension(1,bind([[_1022847, _1022812, _1022811], [1860 ^ [], v_Q_H, v_P_H]]))).
% 31.06/30.52 cnf('1.2.1',plain,[1863 ^ [v_Q_H, v_P_H], c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(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([[_1022811, _1022812], [v_P_H, v_Q_H]]))).
% 31.06/30.52 cnf('1.2.1.1',plain,[-(c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(hAPP(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)).
% 31.06/30.52 cnf('1.2.2',plain,[hBOOL(hAPP(hAPP(v_Q_H, 1860 ^ []), 1862 ^ [v_Q_H, v_P_H])), -(1863 ^ [v_Q_H, v_P_H])],extension(2,bind([[_1022812, _1022811], [v_Q_H, v_P_H]]))).
% 31.06/30.52 cnf('1.2.2.1',plain,[1863 ^ [v_Q_H, v_P_H]],lemmata('1.2')).
% 31.06/30.52 %-----------------------------------------------------
% 31.06/30.52
% 31.06/30.53 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------