0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : nanocop_casc.sh %s %d 0.02/0.23 % Computer : n148.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:46:39 CDT 2018 0.02/0.23 % CPUTime : 47.39/47.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 47.39/47.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 47.39/47.18 47.39/47.18 - the following list represents a non-clausal connection proof 47.39/47.18 (a tree in which each node is labelled with a nested clause) 47.39/47.18 - I^V is a skolem term f_I(V) for variable list V 47.39/47.18 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 47.39/47.18 I is the unique index of C, K distinguishes different copies 47.39/47.18 of C, and V is the list of (instantiated) variables in C 47.39/47.18 47.39/47.18 [(52451 ^ 0) ^ [] : [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)))], [(25957 ^ 1) ^ [t_b, v_G, 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))), 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))], [(36771 ^ 2) ^ [v_x] : [-(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))))], [(6043 ^ 3) ^ [] : [-(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)))))]]], [(20369 ^ 2) ^ [] : [-(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))], [(6041 ^ 3) ^ [] : [-(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)))]]]]] 47.39/47.18 47.39/47.18 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 47.39/47.19 EOF