TSTP Solution File: SWV298-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n023.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 13:20:25 EDT 2022

% Result   : Unsatisfiable 2.23s 2.39s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   26 (  19 unt;   1 nHn;  25 RR)
%            Number of literals    :   36 (   8 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   21 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('SWV298-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( A != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    file('SWV298-2.p',unknown),
    [] ).

cnf(3,plain,
    ( A != c_Message_Omsg_ONonce(v_NB)
    | v_Ba != v_B ),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
    [iquote('copy,2,flip.2')] ).

cnf(4,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg) ),
    file('SWV298-2.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('SWV298-2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
    | c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) ),
    file('SWV298-2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
    | c_in(A,c_Message_Oparts(C),tc_Message_Omsg) ),
    file('SWV298-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
    | c_in(B,c_Event_Obad,tc_Message_Oagent)
    | E = D ),
    file('SWV298-2.p',unknown),
    [] ).

cnf(10,axiom,
    A = A,
    file('SWV298-2.p',unknown),
    [] ).

cnf(11,axiom,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('SWV298-2.p',unknown),
    [] ).

cnf(12,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV298-2.p',unknown),
    [] ).

cnf(13,axiom,
    c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV298-2.p',unknown),
    [] ).

cnf(18,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[12,4]),
    [iquote('hyper,12,4')] ).

cnf(46,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[18,6]),
    [iquote('hyper,18,6')] ).

cnf(73,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[46,6]),
    [iquote('hyper,46,6')] ).

cnf(97,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[13,4]),
    [iquote('hyper,13,4')] ).

cnf(140,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[73,6]),
    [iquote('hyper,73,6')] ).

cnf(161,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[140,5]),
    [iquote('hyper,140,5')] ).

cnf(439,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[97,6]),
    [iquote('hyper,97,6')] ).

cnf(441,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[439,6]),
    [iquote('hyper,439,6')] ).

cnf(443,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[441,6]),
    [iquote('hyper,441,6')] ).

cnf(446,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[443,5]),
    [iquote('hyper,443,5')] ).

cnf(448,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(hyper,[status(thm)],[446,7]),
    [iquote('hyper,446,7')] ).

cnf(450,plain,
    v_Ba = v_B,
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[448,8,11,161]),1]),
    [iquote('hyper,448,8,11,161,unit_del,1')] ).

cnf(462,plain,
    A != c_Message_Omsg_ONonce(v_NB),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),450]),10]),
    [iquote('back_demod,3,demod,450,unit_del,10')] ).

cnf(463,plain,
    $false,
    inference(binary,[status(thm)],[462,10]),
    [iquote('binary,462.1,10.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 06:05:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.57/2.14  ----- Otter 3.3f, August 2004 -----
% 1.57/2.14  The process was started by sandbox2 on n023.cluster.edu,
% 1.57/2.14  Wed Jul 27 06:05:48 2022
% 1.57/2.14  The command was "./otter".  The process ID is 24294.
% 1.57/2.14  
% 1.57/2.14  set(prolog_style_variables).
% 1.57/2.14  set(auto).
% 1.57/2.14     dependent: set(auto1).
% 1.57/2.14     dependent: set(process_input).
% 1.57/2.14     dependent: clear(print_kept).
% 1.57/2.14     dependent: clear(print_new_demod).
% 1.57/2.14     dependent: clear(print_back_demod).
% 1.57/2.14     dependent: clear(print_back_sub).
% 1.57/2.14     dependent: set(control_memory).
% 1.57/2.14     dependent: assign(max_mem, 12000).
% 1.57/2.14     dependent: assign(pick_given_ratio, 4).
% 1.57/2.14     dependent: assign(stats_level, 1).
% 1.57/2.14     dependent: assign(max_seconds, 10800).
% 1.57/2.14  clear(print_given).
% 1.57/2.14  
% 1.57/2.14  list(usable).
% 1.57/2.14  0 [] A=A.
% 1.57/2.14  0 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.57/2.14  0 [] c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 1.57/2.14  0 [] c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.57/2.14  0 [] c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 1.57/2.14  0 [] V_U!=c_Message_Omsg_ONonce(v_NB)|v_B!=v_Ba.
% 1.57/2.14  0 [] -c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)|c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg).
% 1.57/2.14  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).
% 1.57/2.14  0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.57/2.14  0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.57/2.14  0 [] -c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),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_evs)),tc_Message_Omsg)|c_in(V_A,c_Event_Obad,tc_Message_Oagent)|V_B=V_C.
% 1.57/2.14  end_of_list.
% 1.57/2.14  
% 1.57/2.14  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.57/2.14  
% 1.57/2.14  This ia a non-Horn set with equality.  The strategy will be
% 1.57/2.14  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.57/2.14  deletion, with positive clauses in sos and nonpositive
% 1.57/2.14  clauses in usable.
% 1.57/2.14  
% 1.57/2.14     dependent: set(knuth_bendix).
% 1.57/2.14     dependent: set(anl_eq).
% 1.57/2.14     dependent: set(para_from).
% 1.57/2.14     dependent: set(para_into).
% 1.57/2.14     dependent: clear(para_from_right).
% 1.57/2.14     dependent: clear(para_into_right).
% 1.57/2.14     dependent: set(para_from_vars).
% 1.57/2.14     dependent: set(eq_units_both_ways).
% 1.57/2.14     dependent: set(dynamic_demod_all).
% 1.57/2.14     dependent: set(dynamic_demod).
% 1.57/2.14     dependent: set(order_eq).
% 1.57/2.14     dependent: set(back_demod).
% 1.57/2.14     dependent: set(lrpo).
% 1.57/2.14     dependent: set(hyper_res).
% 1.57/2.14     dependent: set(unit_deletion).
% 1.57/2.14     dependent: set(factor).
% 1.57/2.14  
% 1.57/2.14  ------------> process usable:
% 1.57/2.14  ** KEPT (pick-wt=4): 1 [] -c_in(v_A,c_Event_Obad,tc_Message_Oagent).
% 1.57/2.14  ** KEPT (pick-wt=7): 3 [copy,2,flip.2] A!=c_Message_Omsg_ONonce(v_NB)|v_Ba!=v_B.
% 1.57/2.14  ** KEPT (pick-wt=16): 4 [] -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent)|c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg).
% 2.23/2.39  ** 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).
% 2.23/2.39  ** KEPT (pick-wt=12): 6 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(B,c_Message_Oanalz(C),tc_Message_Omsg).
% 2.23/2.39  ** KEPT (pick-wt=12): 7 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(A,c_Message_Oparts(C),tc_Message_Omsg).
% 2.23/2.39  ** KEPT (pick-wt=44): 8 [] -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)| -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)|c_in(B,c_Event_Obad,tc_Message_Oagent)|E=D.
% 2.23/2.39  
% 2.23/2.39  ------------> process sos:
% 2.23/2.39  ** KEPT (pick-wt=3): 10 [] A=A.
% 2.23/2.39  ** KEPT (pick-wt=5): 11 [] c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)).
% 2.23/2.39  ** KEPT (pick-wt=28): 12 [] c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 2.23/2.39  ** KEPT (pick-wt=43): 13 [] c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).
% 2.23/2.39    Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] A=A.
% 2.23/2.39  10 back subsumes 9.
% 2.23/2.39  
% 2.23/2.39  ======= end of input processing =======
% 2.23/2.39  
% 2.23/2.39  =========== start of search ===========
% 2.23/2.39  
% 2.23/2.39  
% 2.23/2.39  Resetting weight limit to 58.
% 2.23/2.39  
% 2.23/2.39  
% 2.23/2.39  Resetting weight limit to 58.
% 2.23/2.39  
% 2.23/2.39  sos_size=390
% 2.23/2.39  
% 2.23/2.39  -------- PROOF -------- 
% 2.23/2.39  
% 2.23/2.39  ----> UNIT CONFLICT at   0.25 sec ----> 463 [binary,462.1,10.1] $F.
% 2.23/2.39  
% 2.23/2.39  Length of proof is 14.  Level of proof is 8.
% 2.23/2.39  
% 2.23/2.39  ---------------- PROOF ----------------
% 2.23/2.39  % SZS status Unsatisfiable
% 2.23/2.39  % SZS output start Refutation
% See solution above
% 2.23/2.39  ------------ end of proof -------------
% 2.23/2.39  
% 2.23/2.39  
% 2.23/2.39  Search stopped by max_proofs option.
% 2.23/2.39  
% 2.23/2.39  
% 2.23/2.39  Search stopped by max_proofs option.
% 2.23/2.39  
% 2.23/2.39  ============ end of search ============
% 2.23/2.39  
% 2.23/2.39  -------------- statistics -------------
% 2.23/2.39  clauses given                 27
% 2.23/2.39  clauses generated           1576
% 2.23/2.39  clauses kept                 460
% 2.23/2.39  clauses forward subsumed     796
% 2.23/2.39  clauses back subsumed          5
% 2.23/2.39  Kbytes malloced             4882
% 2.23/2.39  
% 2.23/2.39  ----------- times (seconds) -----------
% 2.23/2.39  user CPU time          0.25          (0 hr, 0 min, 0 sec)
% 2.23/2.39  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.23/2.39  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.23/2.39  
% 2.23/2.39  That finishes the proof of the theorem.
% 2.23/2.39  
% 2.23/2.39  Process 24294 finished Wed Jul 27 06:05:50 2022
% 2.23/2.39  Otter interrupted
% 2.23/2.39  PROOF FOUND
%------------------------------------------------------------------------------