TSTP Solution File: SWV334-2 by Moca---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SWV334-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n021.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 20:43:16 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV334-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : moca.sh %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 01:04:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 The input problem is unsatisfiable because
% 0.12/0.39
% 0.12/0.39 [1] the following set of Horn clauses is unsatisfiable:
% 0.12/0.39
% 0.12/0.39 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) ==> \bottom
% 0.12/0.39 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(v_Xa, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)
% 0.12/0.39
% 0.12/0.39 This holds because
% 0.12/0.39
% 0.12/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.12/0.39
% 0.12/0.39 E:
% 0.12/0.39 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(v_Xa, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) = true__
% 0.12/0.39 f1(c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) = true__
% 0.12/0.39 f1(true__) = false__
% 0.12/0.39 G:
% 0.12/0.39 true__ = false__
% 0.12/0.39
% 0.12/0.39 This holds because
% 0.12/0.39
% 0.12/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(v_Xa, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) -> true__
% 0.12/0.39 f1(c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) -> true__
% 0.12/0.39 f1(true__) -> false__
% 0.12/0.39 false__ -> true__
% 0.12/0.39 with the LPO induced by
% 0.12/0.39 v_Xa > tc_Event_Oevent > v_evs4 > c_List_Oset > v_NB > c_Message_Omsg_ONonce > v_K > c_Message_Omsg_OCrypt > c_Message_Omsg_OMPair > v_B > v_A > c_Event_Oevent_OSays > c_in > f1 > false__ > true__
% 0.12/0.39
% 0.12/0.39 % SZS output end Proof
% 0.12/0.39
%------------------------------------------------------------------------------