%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n004.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 20:42:28 EDT 2022 % Result : Unsatisfiable 0.49s 0.70s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV262-2 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.14 % Command : moca.sh %s % 0.14/0.35 % Computer : n004.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Thu Jun 16 01:37:24 EDT 2022 % 0.14/0.35 % CPUTime : % 0.49/0.70 % SZS status Unsatisfiable % 0.49/0.70 % SZS output start Proof % 0.49/0.70 The input problem is unsatisfiable because % 0.49/0.70 % 0.49/0.70 [1] the following set of Horn clauses is unsatisfiable: % 0.49/0.70 % 0.49/0.70 c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom % 0.49/0.70 c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg) % 0.49/0.70 c_union(c_emptyset, V_y, T_a) = V_y % 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) = c_insert(V_a, c_union(V_B, V_C, T_a), T_a) % 0.49/0.70 % 0.49/0.70 This holds because % 0.49/0.70 % 0.49/0.70 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.49/0.70 % 0.49/0.70 E: % 0.49/0.70 c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg) % 0.49/0.70 c_union(c_emptyset, V_y, T_a) = V_y % 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) = c_insert(V_a, c_union(V_B, V_C, T_a), T_a) % 0.49/0.70 f1(c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg))) = true__ % 0.49/0.70 f1(c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg)) = false__ % 0.49/0.70 G: % 0.49/0.70 true__ = false__ % 0.49/0.70 % 0.49/0.70 This holds because % 0.49/0.70 % 0.49/0.70 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.49/0.70 % 0.49/0.70 % 0.49/0.70 c_union(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_Message_Omsg) -> c_Message_Oparts(c_union(V_G, V_H, tc_Message_Omsg)) % 0.49/0.70 c_union(c_emptyset, V_y, T_a) -> V_y % 0.49/0.70 c_union(c_insert(V_a, V_B, T_a), V_C, T_a) -> c_insert(V_a, c_union(V_B, V_C, T_a), T_a) % 0.49/0.70 f1(c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg))) -> true__ % 0.49/0.70 f1(c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg)) -> false__ % 0.49/0.70 true__ -> false__ % 0.49/0.70 with the LPO induced by % 0.49/0.70 v_H > v_Y > tc_Message_Omsg > c_emptyset > v_X > c_union > c_insert > c_Message_Oparts > f1 > true__ > false__ % 0.49/0.70 % 0.49/0.70 % SZS output end Proof % 0.49/0.70 %------------------------------------------------------------------------------