%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV985-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n018.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 : Wed Jul 20 20:48:36 EDT 2022 % Result : Unsatisfiable 0.22s 0.42s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV985-1 : TPTP v8.1.0. Released v4.1.0. % 0.08/0.14 % Command : moca.sh %s % 0.15/0.36 % Computer : n018.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jun 14 18:03:29 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.42 % SZS status Unsatisfiable % 0.22/0.42 % SZS output start Proof % 0.22/0.42 The input problem is unsatisfiable because % 0.22/0.42 % 0.22/0.42 [1] the following set of Horn clauses is unsatisfiable: % 0.22/0.42 % 0.22/0.42 c_COMBI(V_P, T_a) = V_P % 0.22/0.42 c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) % 0.22/0.42 c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____) % 0.22/0.42 c_COMBI(v_P, t_a) = v_P % 0.22/0.42 c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) ==> \bottom % 0.22/0.42 c_fequal(V_x, V_x, T_a) % 0.22/0.42 c_fequal(V_X, V_Y, T_a) ==> V_X = V_Y % 0.22/0.42 % 0.22/0.42 This holds because % 0.22/0.42 % 0.22/0.42 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.22/0.42 % 0.22/0.42 E: % 0.22/0.42 c_COMBI(V_P, T_a) = V_P % 0.22/0.42 c_COMBI(v_P, t_a) = v_P % 0.22/0.42 c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) = true__ % 0.22/0.42 c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____) = true__ % 0.22/0.42 c_fequal(V_x, V_x, T_a) = true__ % 0.22/0.42 f1(c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H)) = true__ % 0.22/0.42 f1(true__) = false__ % 0.22/0.42 f2(c_fequal(V_X, V_Y, T_a), V_X, V_Y) = V_Y % 0.22/0.42 f2(true__, V_X, V_Y) = V_X % 0.22/0.42 G: % 0.22/0.42 true__ = false__ % 0.22/0.42 % 0.22/0.42 This holds because % 0.22/0.42 % 0.22/0.42 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.22/0.42 % 0.22/0.42 % 0.22/0.42 c_COMBI(V_P, T_a) -> V_P % 0.22/0.42 c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) -> true__ % 0.22/0.42 c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____) -> true__ % 0.22/0.42 c_fequal(V_x, V_x, T_a) -> true__ % 0.22/0.42 f1(c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H)) -> true__ % 0.22/0.42 f1(true__) -> false__ % 0.22/0.42 f2(c_fequal(V_X, V_Y, T_a), V_X, V_Y) -> V_Y % 0.22/0.42 f2(true__, V_X, V_Y) -> V_X % 0.22/0.42 false__ -> true__ % 0.22/0.42 with the LPO induced by % 0.22/0.42 f2 > c_fequal > f1 > t_a > v_T____ > v_e_H > c_State_Ohp > c_WellTypeRT_OWTrt > v_s_H > v_E > v_P > c_TypeSafe__Mirabelle_Osconf > c_COMBI > false__ > true__ % 0.22/0.42 % 0.22/0.42 % SZS output end Proof % 0.22/0.42 %------------------------------------------------------------------------------