TSTP Solution File: SWV305-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV305-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.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  : 300s
% DateTime : Wed Jul 27 13:20:26 EDT 2022

% Result   : Unsatisfiable 1.70s 1.92s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   25 (  12 unt;   9 nHn;  25 RR)
%            Number of literals    :   44 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('SWV305-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
    | c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
    | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
    | c_in(B,c_Event_Obad,tc_Message_Oagent) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ c_in(A,c_union(B,C,D),D)
    | c_in(A,C,D)
    | c_in(A,B,D) ),
    file('SWV305-2.p',unknown),
    [] ).

cnf(9,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('SWV305-2.p',unknown),
    [] ).

cnf(10,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('SWV305-2.p',unknown),
    [] ).

cnf(11,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('SWV305-2.p',unknown),
    [] ).

cnf(12,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('SWV305-2.p',unknown),
    [] ).

cnf(13,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(hyper,[status(thm)],[11,4,10]),
    [iquote('hyper,11,4,10')] ).

cnf(14,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(hyper,[status(thm)],[12,4,10]),
    [iquote('hyper,12,4,10')] ).

cnf(15,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(hyper,[status(thm)],[13,7]),
    [iquote('hyper,13,7')] ).

cnf(16,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(hyper,[status(thm)],[14,7]),
    [iquote('hyper,14,7')] ).

cnf(17,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(hyper,[status(thm)],[15,3]),
    [iquote('hyper,15,3')] ).

cnf(19,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(hyper,[status(thm)],[16,3]),
    [iquote('hyper,16,3')] ).

cnf(22,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[17,5])]),
    [iquote('hyper,17,5,factor_simp')] ).

cnf(24,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[19,5])]),
    [iquote('hyper,19,5,factor_simp')] ).

cnf(27,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(hyper,[status(thm)],[22,5]),
    [iquote('hyper,22,5')] ).

cnf(29,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[27,6,9]),1]),
    [iquote('hyper,27,6,9,unit_del,1')] ).

cnf(32,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[24,2,29]),
    [iquote('hyper,24,2,29')] ).

cnf(34,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[32,5]),
    [iquote('hyper,32,5')] ).

cnf(35,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(hyper,[status(thm)],[34,6,9]),
    [iquote('hyper,34,6,9')] ).

cnf(36,plain,
    $false,
    inference(binary,[status(thm)],[35,1]),
    [iquote('binary,35.1,1.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV305-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n019.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  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 06:18:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.70/1.91  ----- Otter 3.3f, August 2004 -----
% 1.70/1.91  The process was started by sandbox on n019.cluster.edu,
% 1.70/1.91  Wed Jul 27 06:18:22 2022
% 1.70/1.91  The command was "./otter".  The process ID is 2857.
% 1.70/1.91  
% 1.70/1.91  set(prolog_style_variables).
% 1.70/1.91  set(auto).
% 1.70/1.91     dependent: set(auto1).
% 1.70/1.91     dependent: set(process_input).
% 1.70/1.91     dependent: clear(print_kept).
% 1.70/1.91     dependent: clear(print_new_demod).
% 1.70/1.91     dependent: clear(print_back_demod).
% 1.70/1.91     dependent: clear(print_back_sub).
% 1.70/1.91     dependent: set(control_memory).
% 1.70/1.91     dependent: assign(max_mem, 12000).
% 1.70/1.91     dependent: assign(pick_given_ratio, 4).
% 1.70/1.91     dependent: assign(stats_level, 1).
% 1.70/1.91     dependent: assign(max_seconds, 10800).
% 1.70/1.91  clear(print_given).
% 1.70/1.91  
% 1.70/1.91  list(usable).
% 1.70/1.91  0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.91  0 [] c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.91  0 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.70/1.91  0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.70/1.91  0 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.70/1.91  0 [] -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.70/1.91  0 [] -c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg).
% 1.70/1.91  0 [] -c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.70/1.91  0 [] -c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.70/1.91  0 [] -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).
% 1.70/1.91  0 [] -c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a).
% 1.70/1.91  end_of_list.
% 1.70/1.91  
% 1.70/1.91  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.70/1.91  
% 1.70/1.91  This is a non-Horn set without equality.  The strategy will
% 1.70/1.91  be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91  satellites in sos and with nuclei in usable.
% 1.70/1.91  
% 1.70/1.91     dependent: set(hyper_res).
% 1.70/1.91     dependent: set(factor).
% 1.70/1.91     dependent: set(unit_deletion).
% 1.70/1.91  
% 1.70/1.91  ------------> process usable:
% 1.70/1.91  ** KEPT (pick-wt=4): 1 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.91  ** KEPT (pick-wt=34): 2 [] -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg).
% 1.70/1.91  ** KEPT (pick-wt=18): 3 [] -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg).
% 1.70/1.91  ** KEPT (pick-wt=24): 4 [] -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)|c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg).
% 1.70/1.92  ** KEPT (pick-wt=10): 5 [] -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.70/1.92  ** KEPT (pick-wt=18): 6 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent).
% 1.70/1.92  ** KEPT (pick-wt=15): 7 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.70/1.92  
% 1.70/1.92  ------------> process sos:
% 1.70/1.92  ** KEPT (pick-wt=5): 9 [] c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.70/1.92  ** KEPT (pick-wt=8): 10 [] c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg).
% 1.70/1.92  ** KEPT (pick-wt=19): 11 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.70/1.92  ** KEPT (pick-wt=21): 12 [] c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg).
% 1.70/1.92  
% 1.70/1.92  ======= end of input processing =======
% 1.70/1.92  
% 1.70/1.92  =========== start of search ===========
% 1.70/1.92  
% 1.70/1.92  -------- PROOF -------- 
% 1.70/1.92  
% 1.70/1.92  ----> UNIT CONFLICT at   0.00 sec ----> 36 [binary,35.1,1.1] $F.
% 1.70/1.92  
% 1.70/1.92  Length of proof is 13.  Level of proof is 9.
% 1.70/1.92  
% 1.70/1.92  ---------------- PROOF ----------------
% 1.70/1.92  % SZS status Unsatisfiable
% 1.70/1.92  % SZS output start Refutation
% See solution above
% 1.70/1.92  ------------ end of proof -------------
% 1.70/1.92  
% 1.70/1.92  
% 1.70/1.92  Search stopped by max_proofs option.
% 1.70/1.92  
% 1.70/1.92  
% 1.70/1.92  Search stopped by max_proofs option.
% 1.70/1.92  
% 1.70/1.92  ============ end of search ============
% 1.70/1.92  
% 1.70/1.92  -------------- statistics -------------
% 1.70/1.92  clauses given                 18
% 1.70/1.92  clauses generated             26
% 1.70/1.92  clauses kept                  35
% 1.70/1.92  clauses forward subsumed       2
% 1.70/1.92  clauses back subsumed         16
% 1.70/1.92  Kbytes malloced              976
% 1.70/1.92  
% 1.70/1.92  ----------- times (seconds) -----------
% 1.70/1.92  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.70/1.92  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.70/1.92  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.70/1.92  
% 1.70/1.92  That finishes the proof of the theorem.
% 1.70/1.92  
% 1.70/1.92  Process 2857 finished Wed Jul 27 06:18:23 2022
% 1.70/1.92  Otter interrupted
% 1.70/1.92  PROOF FOUND
%------------------------------------------------------------------------------