%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV257-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n008.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 20:42:24 EDT 2022 % Result : Unsatisfiable 0.12s 0.39s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV257-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : moca.sh %s % 0.12/0.34 % Computer : n008.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 : Wed Jun 15 05:38:37 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.39 % SZS status Unsatisfiable % 0.12/0.39 % SZS output start Proof % 0.12/0.39 The input problem is unsatisfiable because % 0.12/0.39 % 0.12/0.39 [1] the following set of Horn clauses is unsatisfiable: % 0.12/0.39 % 0.12/0.39 c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Oanalz(v_H)), tc_set(tc_Message_Omsg)) ==> \bottom % 0.12/0.39 c_lessequals(V_H, c_Message_Oanalz(V_H), tc_set(tc_Message_Omsg)) % 0.12/0.39 c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)) ==> c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) % 0.12/0.39 % 0.12/0.39 This holds because % 0.12/0.39 % 0.12/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.12/0.39 % 0.12/0.39 E: % 0.12/0.39 c_lessequals(V_H, c_Message_Oanalz(V_H), tc_set(tc_Message_Omsg)) = true__ % 0.12/0.39 f1(c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Oanalz(v_H)), tc_set(tc_Message_Omsg))) = true__ % 0.12/0.39 f1(true__) = false__ % 0.12/0.39 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) = true__ % 0.12/0.39 f2(true__, V_G, V_H) = c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) % 0.12/0.39 G: % 0.12/0.39 true__ = false__ % 0.12/0.39 % 0.12/0.39 This holds because % 0.12/0.39 % 0.12/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.12/0.39 % 0.12/0.39 % 0.12/0.39 c_lessequals(V_H, c_Message_Oanalz(V_H), tc_set(tc_Message_Omsg)) -> true__ % 0.12/0.39 c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) -> f2(true__, V_G, V_H) % 0.12/0.39 f1(c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Oanalz(v_H)), tc_set(tc_Message_Omsg))) -> true__ % 0.12/0.39 f1(f2(true__, v_H, c_Message_Oanalz(v_H))) -> true__ % 0.12/0.39 f1(true__) -> false__ % 0.12/0.39 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) -> true__ % 0.12/0.39 f2(f2(true__, X0, X1), c_Message_Oparts(X0), c_Message_Oparts(X1)) -> true__ % 0.12/0.39 f2(true__, Y0, c_Message_Oanalz(Y0)) -> true__ % 0.12/0.39 f2(true__, c_Message_Oparts(Y0), c_Message_Oparts(c_Message_Oanalz(Y0))) -> true__ % 0.12/0.39 false__ -> true__ % 0.12/0.39 with the LPO induced by % 0.12/0.39 c_lessequals > f2 > tc_Message_Omsg > tc_set > c_Message_Oanalz > v_H > c_Message_Oparts > f1 > false__ > true__ % 0.12/0.39 % 0.12/0.39 % SZS output end Proof % 0.12/0.39 %------------------------------------------------------------------------------