%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n016.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 : Fri Jul 15 01:33:19 EDT 2022 % Result : Unsatisfiable 0.20s 0.39s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : moca.sh %s % 0.13/0.33 % Computer : n016.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jun 16 17:10:34 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.39 % SZS status Unsatisfiable % 0.20/0.39 % SZS output start Proof % 0.20/0.39 The input problem is unsatisfiable because % 0.20/0.39 % 0.20/0.39 [1] the following set of Horn clauses is unsatisfiable: % 0.20/0.39 % 0.20/0.39 c_UNITY_OInit(v_F, t_a) = c_UNITY_OInit(v_G, t_a) % 0.20/0.39 c_UNITY_OActs(v_F, t_a) = c_UNITY_OActs(v_G, t_a) % 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) = c_UNITY_OAllowedActs(v_G, t_a) % 0.20/0.39 v_F = v_G ==> \bottom % 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) = V_y % 0.20/0.39 % 0.20/0.39 This holds because % 0.20/0.39 % 0.20/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.20/0.39 % 0.20/0.39 E: % 0.20/0.39 c_UNITY_OActs(v_F, t_a) = c_UNITY_OActs(v_G, t_a) % 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) = c_UNITY_OAllowedActs(v_G, t_a) % 0.20/0.39 c_UNITY_OInit(v_F, t_a) = c_UNITY_OInit(v_G, t_a) % 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) = V_y % 0.20/0.39 f1(v_F) = true__ % 0.20/0.39 f1(v_G) = false__ % 0.20/0.39 G: % 0.20/0.39 true__ = false__ % 0.20/0.39 % 0.20/0.39 This holds because % 0.20/0.39 % 0.20/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.20/0.39 % 0.20/0.39 % 0.20/0.39 c_UNITY_OActs(v_F, t_a) -> c_UNITY_OActs(v_G, t_a) % 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) -> c_UNITY_OAllowedActs(v_G, t_a) % 0.20/0.39 c_UNITY_OInit(v_F, t_a) -> c_UNITY_OInit(v_G, t_a) % 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) -> V_y % 0.20/0.39 f1(v_F) -> true__ % 0.20/0.39 f1(v_G) -> false__ % 0.20/0.39 true__ -> false__ % 0.20/0.39 v_F -> v_G % 0.20/0.39 with the LPO induced by % 0.20/0.39 tc_prod > tc_set > c_Pair > c_UNITY_Omk__program > f1 > v_F > c_UNITY_OAllowedActs > c_UNITY_OActs > v_G > t_a > c_UNITY_OInit > true__ > false__ % 0.20/0.39 % 0.20/0.39 % SZS output end Proof % 0.20/0.39 %------------------------------------------------------------------------------