%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV269-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n032.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 20:42:33 EDT 2022 % Result : Unsatisfiable 0.15s 0.34s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SWV269-2 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.10 % Command : moca.sh %s % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Thu Jun 16 01:46:44 EDT 2022 % 0.10/0.30 % CPUTime : % 0.15/0.34 % SZS status Unsatisfiable % 0.15/0.34 % SZS output start Proof % 0.15/0.34 The input problem is unsatisfiable because % 0.15/0.34 % 0.15/0.34 [1] the following set of Horn clauses is unsatisfiable: % 0.15/0.34 % 0.15/0.34 c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg) % 0.15/0.34 c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg) ==> \bottom % 0.15/0.34 c_in(V_c, V_B, T_a) ==> c_in(V_c, c_union(V_A, V_B, T_a), T_a) % 0.15/0.34 % 0.15/0.34 This holds because % 0.15/0.34 % 0.15/0.34 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.15/0.34 % 0.15/0.34 E: % 0.15/0.34 c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg) = true__ % 0.15/0.34 f1(c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg)) = true__ % 0.15/0.34 f1(true__) = false__ % 0.15/0.34 f2(c_in(V_c, V_B, T_a), V_c, V_A, V_B, T_a) = true__ % 0.15/0.34 f2(true__, V_c, V_A, V_B, T_a) = c_in(V_c, c_union(V_A, V_B, T_a), T_a) % 0.15/0.34 G: % 0.15/0.34 true__ = false__ % 0.15/0.34 % 0.15/0.34 This holds because % 0.15/0.34 % 0.15/0.34 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.15/0.34 % 0.15/0.34 % 0.15/0.34 c_in(V_c, c_union(V_A, V_B, T_a), T_a) -> f2(true__, V_c, V_A, V_B, T_a) % 0.15/0.34 c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg) -> true__ % 0.15/0.34 f1(c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg)) -> true__ % 0.15/0.34 f1(f2(true__, v_X, c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) -> true__ % 0.15/0.34 f1(true__) -> false__ % 0.15/0.34 f2(c_in(V_c, V_B, T_a), V_c, V_A, V_B, T_a) -> true__ % 0.15/0.34 f2(f2(true__, Y0, X1, X2, Y2), Y0, Y3, c_union(X1, X2, Y2), Y2) -> true__ % 0.15/0.34 f2(true__, v_X, Y3, c_Message_Osynth(v_H), tc_Message_Omsg) -> true__ % 0.15/0.34 f2(true__, v_X, Y4, c_union(Y1, c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg) -> true__ % 0.15/0.34 false__ -> true__ % 0.15/0.34 with the LPO induced by % 0.15/0.34 c_in > f2 > c_Message_Oparts > c_union > f1 > tc_Message_Omsg > v_H > c_Message_Osynth > v_X > false__ > true__ % 0.15/0.34 % 0.15/0.34 % SZS output end Proof % 0.15/0.34 %------------------------------------------------------------------------------