0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : leancop_casc.sh %s %d 0.03/0.24 % Computer : n059.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:48:55 CDT 2018 0.03/0.24 % CPUTime : 30.24/29.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 30.24/29.87 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 30.24/29.88 30.24/29.88 %----------------------------------------------------- 30.24/29.88 fof(conj_2, conjecture, ! [_1412703, _1412706] : (? [_1412714, _1412717] : (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), _1412714), v_c), _1412717)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) & ! [_1412800] : (! [_1412808] : (hBOOL(hAPP(hAPP(_1412714, _1412808), _1412706)) => hBOOL(hAPP(hAPP(_1412717, _1412808), _1412800))) => hBOOL(hAPP(hAPP(v_Q_H, _1412703), _1412800)) | hBOOL(hAPP(hAPP(v_Q, _1412703), _1412800)))) <= hBOOL(hAPP(hAPP(v_P_H, _1412703), _1412706)) | hBOOL(hAPP(hAPP(v_P, _1412703), _1412706))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)). 30.24/29.88 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)). 30.24/29.88 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)). 30.24/29.88 30.24/29.88 cnf(1, plain, [-(1863 ^ [_754956, _754955]), hBOOL(hAPP(hAPP(_754955, _754988), 1861 ^ [])), -(hBOOL(hAPP(hAPP(_754956, _754988), 1862 ^ [_754956, _754955])))], clausify(conj_2)). 30.24/29.88 cnf(2, plain, [-(1863 ^ [_754956, _754955]), hBOOL(hAPP(hAPP(v_Q, 1860 ^ []), 1862 ^ [_754956, _754955]))], clausify(conj_2)). 30.24/29.88 cnf(3, plain, [-(1863 ^ [_754956, _754955]), hBOOL(hAPP(hAPP(v_Q_H, 1860 ^ []), 1862 ^ [_754956, _754955]))], clausify(conj_2)). 30.24/29.88 cnf(4, plain, [-(hBOOL(hAPP(hAPP(v_P_H, 1860 ^ []), 1861 ^ []))), -(hBOOL(hAPP(hAPP(v_P, 1860 ^ []), 1861 ^ [])))], clausify(conj_2)). 30.24/29.88 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), _754955), v_c), _754956)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))), 1863 ^ [_754956, _754955]], clausify(conj_2)). 30.24/29.88 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)). 30.24/29.88 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)). 30.24/29.88 30.24/29.88 cnf('1',plain,[-(hBOOL(hAPP(hAPP(v_P_H, 1860 ^ []), 1861 ^ []))), -(hBOOL(hAPP(hAPP(v_P, 1860 ^ []), 1861 ^ [])))],start(4)). 30.24/29.88 cnf('1.1',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([[_754988, _754956, _754955], [1860 ^ [], v_Q_H, v_P_H]]))). 30.24/29.88 cnf('1.1.1',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([[_754955, _754956], [v_P_H, v_Q_H]]))). 30.24/29.88 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_H), v_c), v_Q_H)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(7)). 30.24/29.88 cnf('1.1.2',plain,[hBOOL(hAPP(hAPP(v_Q_H, 1860 ^ []), 1862 ^ [v_Q_H, v_P_H])), -(1863 ^ [v_Q_H, v_P_H])],extension(3,bind([[_754956, _754955], [v_Q_H, v_P_H]]))). 30.24/29.88 cnf('1.1.2.1',plain,[1863 ^ [v_Q_H, v_P_H]],lemmata('1.1')). 30.24/29.88 cnf('1.2',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([[_754988, _754956, _754955], [1860 ^ [], v_Q, v_P]]))). 30.24/29.88 cnf('1.2.1',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([[_754955, _754956], [v_P, v_Q]]))). 30.24/29.88 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), v_c), v_Q)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))))],extension(6)). 30.24/29.88 cnf('1.2.2',plain,[hBOOL(hAPP(hAPP(v_Q, 1860 ^ []), 1862 ^ [v_Q, v_P])), -(1863 ^ [v_Q, v_P])],extension(2,bind([[_754956, _754955], [v_Q, v_P]]))). 30.24/29.88 cnf('1.2.2.1',plain,[1863 ^ [v_Q, v_P]],lemmata('1.2')). 30.24/29.88 %----------------------------------------------------- 30.24/29.88 30.24/29.88 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 30.24/29.88 EOF