TSTP Solution File: SWV320-2 by Moca---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SWV320-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n012.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 20:43:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV320-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : moca.sh %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 23:47:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.40  % SZS status Unsatisfiable
% 0.19/0.40  % SZS output start Proof
% 0.19/0.40  The input problem is unsatisfiable because
% 0.19/0.40  
% 0.19/0.40  [1] the following set of Horn clauses is unsatisfiable:
% 0.19/0.40  
% 0.19/0.40  	c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)
% 0.19/0.40  	c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))
% 0.19/0.40  	c_in(v_A, c_Event_Obad, tc_Message_Oagent) ==> \bottom
% 0.19/0.40  	c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) & c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) ==> c_in(V_A, c_Event_Obad, tc_Message_Oagent)
% 0.19/0.40  
% 0.19/0.40  This holds because
% 0.19/0.40  
% 0.19/0.40  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.19/0.40  
% 0.19/0.40  E:
% 0.19/0.40  	c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true__
% 0.19/0.40  	c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true__
% 0.19/0.40  	f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) = true__
% 0.19/0.40  	f1(true__) = false__
% 0.19/0.40  	f2(true__, V_A) = c_in(V_A, c_Event_Obad, tc_Message_Oagent)
% 0.19/0.40  	f3(c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) = true__
% 0.19/0.40  	f3(true__, V_evs, V_A) = f2(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A)
% 0.19/0.40  G:
% 0.19/0.40  	true__ = false__
% 0.19/0.40  
% 0.19/0.40  This holds because
% 0.19/0.40  
% 0.19/0.40  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  	c_in(V_A, c_Event_Obad, tc_Message_Oagent) -> f2(true__, V_A)
% 0.19/0.40  	c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) -> true__
% 0.19/0.40  	c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) -> true__
% 0.19/0.40  	f1(c_in(v_A, c_Event_Obad, tc_Message_Oagent)) -> true__
% 0.19/0.40  	f1(f2(true__, v_A)) -> true__
% 0.19/0.40  	f1(true__) -> false__
% 0.19/0.40  	f2(c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), V_A) -> f3(true__, V_evs, V_A)
% 0.19/0.40  	f2(true__, Y1) -> f3(true__, v_evs, Y1)
% 0.19/0.40  	f3(c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_evs, V_A) -> true__
% 0.19/0.40  	f3(true__, v_evs, v_A) -> true__
% 0.19/0.40  	false__ -> true__
% 0.19/0.40  with the LPO induced by
% 0.19/0.40  	c_in > f2 > f3 > tc_Event_Oevent > c_OtwayRees_Ootway > tc_Message_Oagent > c_Event_Obad > tc_List_Olist > f1 > tc_Message_Omsg > v_evs > c_Message_Oagent_OSpy > c_Event_Oknows > c_Message_Oparts > v_A > c_Public_OshrK > c_Message_Omsg_OKey > false__ > true__
% 0.19/0.40  
% 0.19/0.40  % SZS output end Proof
% 0.19/0.40  
%------------------------------------------------------------------------------