%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n026.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 20:42:15 EDT 2022 % Result : Unsatisfiable 0.12s 0.38s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : moca.sh %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 22:47:07 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.38 % SZS status Unsatisfiable % 0.12/0.38 % SZS output start Proof % 0.12/0.38 The input problem is unsatisfiable because % 0.12/0.38 % 0.12/0.38 [1] the following set of Horn clauses is unsatisfiable: % 0.12/0.38 % 0.12/0.38 c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg) ==> \bottom % 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg) % 0.12/0.38 c_union(V_y, c_emptyset, T_a) = V_y % 0.12/0.38 % 0.12/0.38 This holds because % 0.12/0.38 % 0.12/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.12/0.38 % 0.12/0.38 E: % 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg) % 0.12/0.38 c_union(V_y, c_emptyset, T_a) = V_y % 0.12/0.38 f1(c_Message_Oanalz(c_Message_Osynth(v_H))) = true__ % 0.12/0.38 f1(c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) = false__ % 0.12/0.38 G: % 0.12/0.38 true__ = false__ % 0.12/0.38 % 0.12/0.38 This holds because % 0.12/0.38 % 0.12/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.12/0.38 % 0.12/0.38 c_Message_Oanalz(c_Message_Osynth(Y0)) = c_union(c_Message_Oanalz(Y0), c_Message_Osynth(Y0), tc_Message_Omsg) % 0.12/0.38 c_union(c_union(c_Message_Oanalz(X0), c_Message_Osynth(X0), tc_Message_Omsg), c_Message_Osynth(c_Message_Osynth(X0)), tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(c_Message_Osynth(X0))) % 0.12/0.38 c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg)) -> c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg) % 0.12/0.38 c_union(V_y, c_emptyset, T_a) -> V_y % 0.12/0.38 f1(c_Message_Oanalz(c_Message_Osynth(v_H))) -> true__ % 0.12/0.38 f1(c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) -> false__ % 0.12/0.38 true__ -> false__ % 0.12/0.38 with the LPO induced by % 0.12/0.38 c_emptyset > tc_Message_Omsg > c_Message_Osynth > v_H > c_Message_Oanalz > c_union > f1 > true__ > false__ % 0.12/0.38 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 %------------------------------------------------------------------------------