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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV352-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:03:29 AM UTC 2026

% Result   : Unsatisfiable 253.55s 253.83s
% Output   : Proof 253.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   16
% Syntax   : Number of clauses     :  149 ( 109 unt;   0 nHn; 147 RR)
%            Number of literals    :  232 ( 100 equ;  85 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  15 con; 0-3 aty)
%            Number of variables   :   42 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    file('theBenchmark.p',cls_conjecture_6) ).

cnf(cls_Event_OSays__imp__spies_0,axiom,
    ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file('theBenchmark.p',cls_Event_OSays__imp__spies_0) ).

cnf(cls_Message_OMPair__parts_0,axiom,
    ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OMPair__parts_0) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
    | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    file('theBenchmark.p',cls_Message_Oparts__analz_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(V_k,c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

cnf(cls_Yahalom_Ono__nonce__YM1__YM2_0,axiom,
    ( c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),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_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
    | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( tc_List_Olist(Eq_x_0) = tc_List_Olist(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_15,axiom,
    ( c_Message_Oparts(Eq_x_0) = c_Message_Oparts(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_17,axiom,
    ( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(t1,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(start,[status(thm),parent(0:0)],[cls_conjecture_6]) ).

cnf(t2,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t1:1)],[cls_Yahalom_Ono__nonce__YM1__YM2_0]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | tc_Message_Omsg != tc_Message_Omsg
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
    | c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))) != c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t2:2)],[equality_17]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),
    inference(extension,[status(thm),parent(t4:2)],[equality_1]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t4:3)],[cls_Message_OMPair__parts_0]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).

cnf(t10,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t8:2)],[cls_Message_Oparts_OInj_0]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t10:2)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    ( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(extension,[status(thm),parent(t12:2)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).

cnf(t16,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(extension,[status(thm),parent(t14:2)],[cls_conjecture_3]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).

cnf(t18,plain,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(extension,[status(thm),parent(t14:3)],[cls_conjecture_2]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).

cnf(t20,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t12:3)],[equality_17]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t12:3]) ).

cnf(t22,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t20:2)],[equality_1]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(extension,[status(thm),parent(t20:3)],[cls_conjecture_2]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).

cnf(t26,plain,
    tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent),
    inference(extension,[status(thm),parent(t20:4)],[equality_1]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:4]) ).

cnf(t28,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t20:5)],[equality_1]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:5]) ).

cnf(t30,plain,
    tc_Message_Omsg = tc_Message_Omsg,
    inference(extension,[status(thm),parent(t4:4)],[equality_1]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t4:4]) ).

cnf(t32,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t4:5)],[equality_3]) ).

cnf(t33,plain,
    $false,
    inference(connection,[status(thm),parent(t32:1)],[t32:1,t4:5]) ).

cnf(t34,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t32:2)],[equality_3]) ).

cnf(t35,plain,
    $false,
    inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).

cnf(t36,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t34:2)],[equality_3]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).

cnf(t38,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t36:2)],[equality_3]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).

cnf(t40,plain,
    c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),
    inference(extension,[status(thm),parent(t38:2)],[cls_Message_Oparts__analz_0]) ).

cnf(t41,plain,
    $false,
    inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).

cnf(t42,plain,
    c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),
    inference(extension,[status(thm),parent(t38:3)],[equality_1]) ).

cnf(t43,plain,
    $false,
    inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).

cnf(t44,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)
    | c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t36:3)],[equality_15]) ).

cnf(t45,plain,
    $false,
    inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:3]) ).

cnf(t46,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
    inference(extension,[status(thm),parent(t44:2)],[equality_1]) ).

cnf(t47,plain,
    $false,
    inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).

cnf(t48,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)
    | c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t34:3)],[equality_15]) ).

cnf(t49,plain,
    $false,
    inference(connection,[status(thm),parent(t48:1)],[t48:1,t34:3]) ).

cnf(t50,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
    inference(extension,[status(thm),parent(t48:2)],[equality_1]) ).

cnf(t51,plain,
    $false,
    inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).

cnf(t52,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)
    | c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t32:3)],[equality_15]) ).

cnf(t53,plain,
    $false,
    inference(connection,[status(thm),parent(t52:1)],[t52:1,t32:3]) ).

cnf(t54,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
    inference(extension,[status(thm),parent(t52:2)],[equality_1]) ).

cnf(t55,plain,
    $false,
    inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).

cnf(t56,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t2:3)],[equality_17]) ).

cnf(t57,plain,
    $false,
    inference(connection,[status(thm),parent(t56:1)],[t56:1,t2:3]) ).

cnf(t58,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t56:2)],[equality_1]) ).

cnf(t59,plain,
    $false,
    inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).

cnf(t60,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t56:3)],[equality_17]) ).

cnf(t61,plain,
    $false,
    inference(connection,[status(thm),parent(t60:1)],[t60:1,t56:3]) ).

cnf(t62,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t60:2)],[equality_1]) ).

cnf(t63,plain,
    $false,
    inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).

cnf(t64,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t60:3)],[equality_17]) ).

cnf(t65,plain,
    $false,
    inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).

cnf(t66,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t64:2)],[equality_1]) ).

cnf(t67,plain,
    $false,
    inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).

cnf(t68,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t64:3)],[equality_17]) ).

cnf(t69,plain,
    $false,
    inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).

cnf(t70,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t68:2)],[equality_1]) ).

cnf(t71,plain,
    $false,
    inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).

cnf(t72,plain,
    ( c_Yahalom_Oyahalom != c_Yahalom_Oyahalom
    | tc_List_Olist(tc_Event_Oevent) != tc_List_Olist(tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | v_evso != v_evso
    | c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(extension,[status(thm),parent(t68:3)],[equality_17]) ).

cnf(t73,plain,
    $false,
    inference(connection,[status(thm),parent(t72:1)],[t72:1,t68:3]) ).

cnf(t74,plain,
    v_evso = v_evso,
    inference(extension,[status(thm),parent(t72:2)],[equality_1]) ).

cnf(t75,plain,
    $false,
    inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).

cnf(t76,plain,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(extension,[status(thm),parent(t72:3)],[cls_conjecture_2]) ).

cnf(t77,plain,
    $false,
    inference(connection,[status(thm),parent(t76:1)],[t76:1,t72:3]) ).

cnf(t78,plain,
    tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent),
    inference(extension,[status(thm),parent(t72:4)],[equality_1]) ).

cnf(t79,plain,
    $false,
    inference(connection,[status(thm),parent(t78:1)],[t78:1,t72:4]) ).

cnf(t80,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t72:5)],[equality_1]) ).

cnf(t81,plain,
    $false,
    inference(connection,[status(thm),parent(t80:1)],[t80:1,t72:5]) ).

cnf(t82,plain,
    ( tc_Event_Oevent != tc_Event_Oevent
    | tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent) ),
    inference(extension,[status(thm),parent(t68:4)],[equality_4]) ).

cnf(t83,plain,
    $false,
    inference(connection,[status(thm),parent(t82:1)],[t82:1,t68:4]) ).

cnf(t84,plain,
    tc_Event_Oevent = tc_Event_Oevent,
    inference(extension,[status(thm),parent(t82:2)],[equality_1]) ).

cnf(t85,plain,
    $false,
    inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).

cnf(t86,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t68:5)],[equality_1]) ).

cnf(t87,plain,
    $false,
    inference(connection,[status(thm),parent(t86:1)],[t86:1,t68:5]) ).

cnf(t88,plain,
    ( tc_Event_Oevent != tc_Event_Oevent
    | tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent) ),
    inference(extension,[status(thm),parent(t64:4)],[equality_4]) ).

cnf(t89,plain,
    $false,
    inference(connection,[status(thm),parent(t88:1)],[t88:1,t64:4]) ).

cnf(t90,plain,
    tc_Event_Oevent = tc_Event_Oevent,
    inference(extension,[status(thm),parent(t88:2)],[equality_1]) ).

cnf(t91,plain,
    $false,
    inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).

cnf(t92,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t64:5)],[equality_1]) ).

cnf(t93,plain,
    $false,
    inference(connection,[status(thm),parent(t92:1)],[t92:1,t64:5]) ).

cnf(t94,plain,
    ( tc_Event_Oevent != tc_Event_Oevent
    | tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent) ),
    inference(extension,[status(thm),parent(t60:4)],[equality_4]) ).

cnf(t95,plain,
    $false,
    inference(connection,[status(thm),parent(t94:1)],[t94:1,t60:4]) ).

cnf(t96,plain,
    tc_Event_Oevent = tc_Event_Oevent,
    inference(extension,[status(thm),parent(t94:2)],[equality_1]) ).

cnf(t97,plain,
    $false,
    inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).

cnf(t98,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t60:5)],[equality_1]) ).

cnf(t99,plain,
    $false,
    inference(connection,[status(thm),parent(t98:1)],[t98:1,t60:5]) ).

cnf(t100,plain,
    ( tc_Event_Oevent != tc_Event_Oevent
    | tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent) ),
    inference(extension,[status(thm),parent(t56:4)],[equality_4]) ).

cnf(t101,plain,
    $false,
    inference(connection,[status(thm),parent(t100:1)],[t100:1,t56:4]) ).

cnf(t102,plain,
    tc_Event_Oevent = tc_Event_Oevent,
    inference(extension,[status(thm),parent(t100:2)],[equality_1]) ).

cnf(t103,plain,
    $false,
    inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).

cnf(t104,plain,
    c_Yahalom_Oyahalom = c_Yahalom_Oyahalom,
    inference(extension,[status(thm),parent(t56:5)],[equality_1]) ).

cnf(t105,plain,
    $false,
    inference(connection,[status(thm),parent(t104:1)],[t104:1,t56:5]) ).

cnf(t106,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | tc_Message_Omsg != tc_Message_Omsg
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))) != c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t2:4)],[equality_17]) ).

cnf(t107,plain,
    $false,
    inference(connection,[status(thm),parent(t106:1)],[t106:1,t2:4]) ).

cnf(t108,plain,
    c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),
    inference(extension,[status(thm),parent(t106:2)],[equality_1]) ).

cnf(t109,plain,
    $false,
    inference(connection,[status(thm),parent(t108:1)],[t108:1,t106:2]) ).

cnf(t110,plain,
    ( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))
    | tc_Message_Omsg != tc_Message_Omsg
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))) != c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t106:3)],[equality_17]) ).

cnf(t111,plain,
    $false,
    inference(connection,[status(thm),parent(t110:1)],[t110:1,t106:3]) ).

cnf(t112,plain,
    c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),
    inference(extension,[status(thm),parent(t110:2)],[equality_1]) ).

cnf(t113,plain,
    $false,
    inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).

cnf(t114,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t110:3)],[cls_Message_OMPair__parts_0]) ).

cnf(t115,plain,
    $false,
    inference(connection,[status(thm),parent(t114:1)],[t114:1,t110:3]) ).

cnf(t116,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t114:2)],[cls_Message_Oparts_OInj_0]) ).

cnf(t117,plain,
    $false,
    inference(connection,[status(thm),parent(t116:1)],[t116:1,t114:2]) ).

cnf(t118,plain,
    ( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg) ),
    inference(extension,[status(thm),parent(t116:2)],[cls_Event_OSays__imp__spies_0]) ).

cnf(t119,plain,
    $false,
    inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).

cnf(t120,plain,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(extension,[status(thm),parent(t118:2)],[cls_conjecture_5]) ).

cnf(t121,plain,
    $false,
    inference(connection,[status(thm),parent(t120:1)],[t120:1,t118:2]) ).

cnf(t122,plain,
    tc_Message_Omsg = tc_Message_Omsg,
    inference(extension,[status(thm),parent(t110:4)],[equality_1]) ).

cnf(t123,plain,
    $false,
    inference(connection,[status(thm),parent(t122:1)],[t122:1,t110:4]) ).

cnf(t124,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)
    | c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t110:5)],[equality_15]) ).

cnf(t125,plain,
    $false,
    inference(connection,[status(thm),parent(t124:1)],[t124:1,t110:5]) ).

cnf(t126,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
    inference(extension,[status(thm),parent(t124:2)],[equality_1]) ).

cnf(t127,plain,
    $false,
    inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).

cnf(t128,plain,
    tc_Message_Omsg = tc_Message_Omsg,
    inference(extension,[status(thm),parent(t106:4)],[equality_1]) ).

cnf(t129,plain,
    $false,
    inference(connection,[status(thm),parent(t128:1)],[t128:1,t106:4]) ).

cnf(t130,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)
    | c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)) ),
    inference(extension,[status(thm),parent(t106:5)],[equality_15]) ).

cnf(t131,plain,
    $false,
    inference(connection,[status(thm),parent(t130:1)],[t130:1,t106:5]) ).

cnf(t132,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evso) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
    inference(extension,[status(thm),parent(t130:2)],[equality_1]) ).

cnf(t133,plain,
    $false,
    inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV352-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.01  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.00/0.02  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.29  % WCLimit  : 300
% 0.03/0.29  % DateTime : Sun Sep 20 03:25:37 UTC 2026
% 0.03/0.29  % CPUTime  : 
% 253.55/253.83  % SZS status Unsatisfiable for theBenchmark
% 253.55/253.83  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------