%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV267-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n017.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 20:42:31 EDT 2022 % Result : Unsatisfiable 0.72s 0.91s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV267-2 : TPTP v8.1.0. Released v3.2.0. % 0.14/0.14 % Command : moca.sh %s % 0.14/0.36 % Computer : n017.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Wed Jun 15 08:42:24 EDT 2022 % 0.14/0.36 % CPUTime : % 0.72/0.91 % SZS status Unsatisfiable % 0.72/0.91 % SZS output start Proof % 0.72/0.91 The input problem is unsatisfiable because % 0.72/0.91 % 0.72/0.91 [1] the following set of Horn clauses is unsatisfiable: % 0.72/0.91 % 0.72/0.91 c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) % 0.72/0.91 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) ==> \bottom % 0.72/0.91 c_lessequals(V_H, c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) % 0.72/0.91 c_lessequals(V_B, V_C, tc_set(T_a)) & c_lessequals(V_A, V_B, tc_set(T_a)) ==> c_lessequals(V_A, V_C, tc_set(T_a)) % 0.72/0.91 % 0.72/0.91 This holds because % 0.72/0.91 % 0.72/0.91 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.72/0.91 % 0.72/0.91 E: % 0.72/0.91 c_lessequals(V_H, c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) = true__ % 0.72/0.91 c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) = true__ % 0.72/0.91 f1(c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) = true__ % 0.72/0.91 f1(true__) = false__ % 0.72/0.91 f2(true__, V_A, V_C, T_a) = c_lessequals(V_A, V_C, tc_set(T_a)) % 0.72/0.91 f3(c_lessequals(V_A, V_B, tc_set(T_a)), V_B, V_C, T_a, V_A) = true__ % 0.72/0.91 f3(true__, V_B, V_C, T_a, V_A) = f2(c_lessequals(V_B, V_C, tc_set(T_a)), V_A, V_C, T_a) % 0.72/0.91 G: % 0.72/0.91 true__ = false__ % 0.72/0.91 % 0.72/0.91 This holds because % 0.72/0.91 % 0.72/0.91 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.72/0.91 % 0.72/0.91 % 0.72/0.91 c_lessequals(V_A, V_C, tc_set(T_a)) -> f2(true__, V_A, V_C, T_a) % 0.72/0.91 c_lessequals(V_H, c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) -> true__ % 0.72/0.91 c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) -> true__ % 0.72/0.91 f1(c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) -> true__ % 0.72/0.91 f1(f2(true__, v_G, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__ % 0.72/0.91 f1(true__) -> false__ % 0.72/0.91 f2(f2(true__, c_Message_Oparts(Y0), Y3, tc_Message_Omsg), Y0, Y3, tc_Message_Omsg) -> true__ % 0.72/0.91 f2(f2(true__, c_Message_Oparts(c_Message_Oparts(Y0)), Y3, tc_Message_Omsg), Y0, Y3, tc_Message_Omsg) -> true__ % 0.72/0.91 f2(f2(true__, c_Message_Oparts(c_Message_Oparts(v_H)), Y3, tc_Message_Omsg), c_Message_Oparts(v_G), Y3, tc_Message_Omsg) -> true__ % 0.72/0.91 f2(f2(true__, c_Message_Oparts(v_H), Y3, tc_Message_Omsg), c_Message_Oparts(v_G), Y3, tc_Message_Omsg) -> true__ % 0.72/0.91 f2(f2(true__, c_Message_Oparts(v_H), Y3, tc_Message_Omsg), v_G, Y3, tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, Y0, c_Message_Oparts(Y0), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, Y0, c_Message_Oparts(c_Message_Oparts(Y0)), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, Y0, c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(Y0))), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, c_Message_Oparts(v_G), c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, c_Message_Oparts(v_G), c_Message_Oparts(c_Message_Oparts(v_H)), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, v_G, c_Message_Oparts(c_Message_Oparts(v_H)), tc_Message_Omsg) -> true__ % 0.72/0.91 f2(true__, v_G, c_Message_Oparts(v_H), tc_Message_Omsg) -> true__ % 0.72/0.91 f3(c_lessequals(V_A, V_B, tc_set(T_a)), V_B, V_C, T_a, V_A) -> true__ % 0.72/0.91 f3(f2(true__, Y0, Y1, Y2), Y1, Y3, Y2, Y0) -> true__ % 0.72/0.91 f3(true__, V_B, V_C, T_a, V_A) -> f2(c_lessequals(V_B, V_C, tc_set(T_a)), V_A, V_C, T_a) % 0.72/0.91 false__ -> true__ % 0.72/0.91 with the LPO induced by % 0.72/0.91 f3 > c_lessequals > f2 > f1 > tc_Message_Omsg > tc_set > v_H > v_G > c_Message_Oparts > false__ > true__ % 0.72/0.91 % 0.72/0.91 % SZS output end Proof % 0.72/0.91 %------------------------------------------------------------------------------