%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV280-2 : 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 20:42:40 EDT 2022 % Result : Unsatisfiable 0.21s 0.41s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV280-2 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : moca.sh %s % 0.13/0.36 % Computer : n017.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 600 % 0.13/0.36 % DateTime : Wed Jun 15 17:36:25 EDT 2022 % 0.13/0.36 % CPUTime : % 0.21/0.41 % SZS status Unsatisfiable % 0.21/0.41 % SZS output start Proof % 0.21/0.41 The input problem is unsatisfiable because % 0.21/0.41 % 0.21/0.41 [1] the following set of Horn clauses is unsatisfiable: % 0.21/0.41 % 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg) % 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat) % 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg) & c_lessequals(v_sko__urX(V_evs), V_U, tc_nat) ==> \bottom % 0.21/0.41 % 0.21/0.41 This holds because % 0.21/0.41 % 0.21/0.41 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.21/0.41 % 0.21/0.41 E: % 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg) = true__ % 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat) = true__ % 0.21/0.41 f1(true__) = false__ % 0.21/0.41 f2(c_lessequals(v_sko__urX(V_evs), V_U, tc_nat), V_U, V_evs) = true__ % 0.21/0.41 f2(true__, V_U, V_evs) = f1(c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg)) % 0.21/0.41 G: % 0.21/0.41 true__ = false__ % 0.21/0.41 % 0.21/0.41 This holds because % 0.21/0.41 % 0.21/0.41 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.21/0.41 % 0.21/0.41 % 0.21/0.41 c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(v_evs), tc_Message_Omsg) -> true__ % 0.21/0.41 c_lessequals(V_n, c_plus(V_n, V_m, tc_nat), tc_nat) -> true__ % 0.21/0.41 f1(c_in(c_Message_Omsg_ONonce(V_U), c_Event_Oused(V_evs), tc_Message_Omsg)) -> f2(true__, V_U, V_evs) % 0.21/0.41 f1(true__) -> false__ % 0.21/0.41 f2(c_lessequals(v_sko__urX(V_evs), V_U, tc_nat), V_U, V_evs) -> true__ % 0.21/0.41 f2(true__, Y0, v_evs) -> false__ % 0.21/0.41 f2(true__, c_plus(v_sko__urX(Y0), X1, tc_nat), Y0) -> true__ % 0.21/0.41 false__ -> true__ % 0.21/0.41 with the LPO induced by % 0.21/0.41 v_sko__urX > f1 > f2 > tc_Message_Omsg > tc_nat > c_plus > c_lessequals > v_evs > c_Event_Oused > c_Message_Omsg_ONonce > c_in > false__ > true__ % 0.21/0.41 % 0.21/0.41 % SZS output end Proof % 0.21/0.41 %------------------------------------------------------------------------------