%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV268-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n009.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 20:42:32 EDT 2022 % Result : Unsatisfiable 0.47s 0.69s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV268-2 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : moca.sh %s % 0.13/0.34 % Computer : n009.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 : Thu Jun 16 05:30:07 EDT 2022 % 0.13/0.35 % CPUTime : % 0.47/0.69 % SZS status Unsatisfiable % 0.47/0.69 % SZS output start Proof % 0.47/0.69 The input problem is unsatisfiable because % 0.47/0.69 % 0.47/0.69 [1] the following set of Horn clauses is unsatisfiable: % 0.47/0.69 % 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) % 0.47/0.69 c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) ==> \bottom % 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) % 0.47/0.69 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)) % 0.47/0.69 % 0.47/0.69 This holds because % 0.47/0.69 % 0.47/0.69 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.47/0.69 % 0.47/0.69 E: % 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) % 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) = true__ % 0.47/0.69 f1(c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) = true__ % 0.47/0.69 f1(true__) = false__ % 0.47/0.69 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) = true__ % 0.47/0.69 f2(true__, V_G, V_H) = c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) % 0.47/0.69 G: % 0.47/0.69 true__ = false__ % 0.47/0.69 % 0.47/0.69 This holds because % 0.47/0.69 % 0.47/0.69 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.47/0.69 % 0.47/0.69 % 0.47/0.69 c_Message_Oparts(c_Message_Oparts(V_H)) -> c_Message_Oparts(V_H) % 0.47/0.69 c_lessequals(c_Message_Oparts(V_G), c_Message_Oparts(V_H), tc_set(tc_Message_Omsg)) -> f2(true__, V_G, V_H) % 0.47/0.69 c_lessequals(v_G, c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)) -> true__ % 0.47/0.69 f1(c_lessequals(c_Message_Oparts(v_G), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg))) -> true__ % 0.47/0.69 f1(f2(true__, v_G, v_H)) -> true__ % 0.47/0.69 f1(true__) -> false__ % 0.47/0.69 f2(c_lessequals(V_G, V_H, tc_set(tc_Message_Omsg)), V_G, V_H) -> true__ % 0.47/0.69 f2(f2(true__, X0, X1), c_Message_Oparts(X0), c_Message_Oparts(X1)) -> true__ % 0.47/0.69 f2(true__, Y0, c_Message_Oparts(X0)) -> f2(true__, Y0, X0) % 0.47/0.69 f2(true__, c_Message_Oparts(X0), Y1) -> f2(true__, X0, Y1) % 0.47/0.69 f2(true__, v_G, c_Message_Oparts(v_H)) -> true__ % 0.47/0.69 f2(true__, v_G, v_H) -> true__ % 0.47/0.69 false__ -> true__ % 0.47/0.69 with the LPO induced by % 0.47/0.69 c_lessequals > f2 > tc_Message_Omsg > f1 > tc_set > v_H > c_Message_Oparts > v_G > false__ > true__ % 0.47/0.69 % 0.47/0.69 % SZS output end Proof % 0.47/0.69 %------------------------------------------------------------------------------