%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV266-2 : 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 20:42:30 EDT 2022 % Result : Unsatisfiable 0.19s 0.39s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV266-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : moca.sh %s % 0.13/0.34 % Computer : n008.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 06:31:37 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.39 % SZS status Unsatisfiable % 0.19/0.39 % SZS output start Proof % 0.19/0.39 The input problem is unsatisfiable because % 0.19/0.39 % 0.19/0.39 [1] the following set of Horn clauses is unsatisfiable: % 0.19/0.39 % 0.19/0.39 c_in(c_Message_Omsg_OCrypt(v_K, v_X), c_Message_Oparts(v_H), tc_Message_Omsg) % 0.19/0.39 c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom % 0.19/0.39 c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.19/0.39 % 0.19/0.39 This holds because % 0.19/0.39 % 0.19/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.19/0.39 % 0.19/0.39 E: % 0.19/0.39 c_in(c_Message_Omsg_OCrypt(v_K, v_X), c_Message_Oparts(v_H), tc_Message_Omsg) = true__ % 0.19/0.39 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) = true__ % 0.19/0.39 f1(true__) = false__ % 0.19/0.39 f2(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) = true__ % 0.19/0.39 f2(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.19/0.39 G: % 0.19/0.39 true__ = false__ % 0.19/0.39 % 0.19/0.39 This holds because % 0.19/0.39 % 0.19/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.19/0.39 % 0.19/0.39 % 0.19/0.39 c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) -> f2(true__, V_X, V_H) % 0.19/0.39 c_in(c_Message_Omsg_OCrypt(v_K, v_X), c_Message_Oparts(v_H), tc_Message_Omsg) -> true__ % 0.19/0.39 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__ % 0.19/0.39 f1(f2(true__, v_X, v_H)) -> true__ % 0.19/0.39 f1(true__) -> false__ % 0.19/0.39 f2(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) -> true__ % 0.19/0.39 f2(f2(true__, c_Message_Omsg_OCrypt(Y0, Y1), Y2), Y1, Y2) -> true__ % 0.19/0.39 f2(true__, c_Message_Omsg_OCrypt(v_K, v_X), v_H) -> true__ % 0.19/0.39 f2(true__, v_X, v_H) -> true__ % 0.19/0.39 false__ -> true__ % 0.19/0.39 with the LPO induced by % 0.19/0.39 c_in > f2 > tc_Message_Omsg > f1 > v_H > c_Message_Oparts > v_X > v_K > c_Message_Omsg_OCrypt > false__ > true__ % 0.19/0.39 % 0.19/0.39 % SZS output end Proof % 0.19/0.39 %------------------------------------------------------------------------------