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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV749-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.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 : Fri Sep 25 03:24:07 PM UTC 2026

% Result   : Unsatisfiable 194.82s 27.78s
% Output   : CNFRefutation 194.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   86 (  32 unt;   0 def)
%            Number of atoms       :  172 (  50 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  174 (  88   ~;  86   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  21 con; 0-3 aty)
%            Number of variables   :  164 (   0 sgn 164   !;   0   ?; 109   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f678,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
      | hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

fof(f688,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).

fof(f693,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).

fof(f694,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).

fof(f713,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(X1),tc_Message_Omsg))
      | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
      | hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).

fof(f716,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
      | hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).

fof(f719,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).

fof(f735,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | hBOOL(c_in(X0,X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f736,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(X1,X0,X2))
      | hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f739,axiom,
    ! [X2,X3,X0,X1] :
      ( X1 = X3
      | c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).

fof(f744,axiom,
    ! [X2,X3,X0,X1] :
      ( X0 = X2
      | c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).

fof(f745,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X2
      | c_Message_Omsg_OMPair(X2,X3) != c_Message_Omsg_OMPair(X0,X1) ),
    inference(reorient_equations,[],[f744]) ).

fof(f748,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
      | hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).

fof(f762,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f763,negated_conjecture,
    hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f766,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f770,negated_conjecture,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f771,plain,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    inference(reorient_equations,[],[f770]) ).

fof(f772,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f773,negated_conjecture,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f774,negated_conjecture,
    hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

fof(f775,negated_conjecture,
    ( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
    | v_K = v_Ka ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).

fof(f776,plain,
    ( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
    | v_Ka = v_K ),
    inference(reorient_equations,[],[f775]) ).

fof(f777,negated_conjecture,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).

tcf(c_1303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cnf_transformation,[],[f678]) ).

tcf(c_1311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f688]) ).

tcf(c_1315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f693]) ).

tcf(c_1316,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f694]) ).

tcf(c_1334,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
      | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oanalz(X2),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f713]) ).

tcf(c_1336,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cnf_transformation,[],[f716]) ).

tcf(c_1339,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( X2 = X8 )
      | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cnf_transformation,[],[f719]) ).

tcf(c_1355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,X0,X2))
      | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f735]) ).

tcf(c_1356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(X1,X0))
      | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f736]) ).

tcf(c_1359,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ) ),
    inference(cnf_transformation,[],[f739]) ).

tcf(c_1363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3) ) ),
    inference(cnf_transformation,[],[f745]) ).

tcf(c_1365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
    inference(cnf_transformation,[],[f748]) ).

tcf(c_1377,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    inference(cnf_transformation,[],[f762]) ).

tcf(c_1378,negated_conjecture,
    hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    inference(cnf_transformation,[],[f763]) ).

tcf(c_1380,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    inference(cnf_transformation,[],[f766]) ).

tcf(c_1383,negated_conjecture,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    inference(cnf_transformation,[],[f771]) ).

tcf(c_1384,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    inference(cnf_transformation,[],[f772]) ).

tcf(c_1385,negated_conjecture,
    ! [X0: $i] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    inference(cnf_transformation,[],[f773]) ).

tcf(c_1386,negated_conjecture,
    hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)),
    inference(cnf_transformation,[],[f774]) ).

tcf(c_1387,negated_conjecture,
    ( ( v_Ka = v_K )
    | ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
    inference(cnf_transformation,[],[f776]) ).

tcf(c_1388,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cnf_transformation,[],[f777]) ).

tcf(c_1884,negated_conjecture,
    v_Ka = v_K,
    inference(global_subsumption_just,[status(thm)],[c_1387,c_1386,c_1387]) ).

tcf(c_2356,plain,
    ( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(prop_impl_just,[status(thm)],[c_1384,c_1388]) ).

tcf(c_3846,plain,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(backward_subsumption_resolution,[status(thm)],[c_2356,c_1385]) ).

tcf(c_10033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( c_in(X0,X2,X4) = c_in(X1,X3,X5) )
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_10034,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(X0)
      | ~ hBOOL(X1)
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_17848,plain,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    inference(superposition,[status(thm)],[c_1884,c_1383]) ).

tcf(c_17851,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)),
    inference(superposition,[status(thm)],[c_1884,c_1380]) ).

tcf(c_17870,plain,
    ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),hAPP(c_Message_Omsg_OKey,v_K))),
    inference(superposition,[status(thm)],[c_1355,c_3846]) ).

tcf(c_17911,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)) = X1 )
      | ( c_Message_Omsg_OCrypt(X0,X1) != v_X ) ),
    inference(superposition,[status(thm)],[c_1383,c_1359]) ).

tcf(c_17917,plain,
    c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)),
    inference(superposition,[status(thm)],[c_17848,c_17911]) ).

tcf(c_17933,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP(c_Message_Omsg_OKey,v_Ka) = X0 )
      | ( c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)) != c_Message_Omsg_OMPair(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_17917,c_1363]) ).

tcf(c_17951,plain,
    hAPP(c_Message_Omsg_OKey,v_Ka) = hAPP(c_Message_Omsg_OKey,v_K),
    inference(equality_resolution,[status(thm)],[c_17933]) ).

tcf(c_18623,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_17851,c_1303]) ).

tcf(c_18657,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_1380,c_1336]) ).

tcf(c_19506,plain,
    ( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
    inference(superposition,[status(thm)],[c_18657,c_1365]) ).

tcf(c_19510,plain,
    ! [X0: $i] :
      ( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))
      | ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1383,c_1365]) ).

tcf(c_19600,plain,
    ( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_18657,c_1334]) ).

tcf(c_19732,plain,
    ! [X0: $i] :
      ( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))
      | ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)) ),
    inference(global_subsumption_just,[status(thm)],[c_19510,c_1386,c_19510]) ).

tcf(c_19746,plain,
    ! [X0: $i] :
      ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg))
      | ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_19732,c_1316]) ).

tcf(c_19942,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,v_Ka)))
      | ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_19746,c_1356]) ).

tcf(c_20815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = v_B )
      | ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(superposition,[status(thm)],[c_1384,c_1339]) ).

tcf(c_20944,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = v_B )
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(global_subsumption_just,[status(thm)],[c_20815,c_1378,c_20815]) ).

tcf(c_20947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ( X2 = v_B )
      | ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_1311,c_20944]) ).

tcf(c_21530,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,v_K)))
      | ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_17951,c_19942]) ).

tcf(c_21678,plain,
    ~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_21530,c_17870]) ).

tcf(c_24192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( hBOOL(c_in(X0,X2,X4))
      | ~ hBOOL(c_in(X1,X3,X5))
      | ( X4 != X5 )
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution,[status(thm)],[c_10033,c_10034]) ).

tcf(c_26515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = v_B )
      | ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[c_1339,c_1384]) ).

tcf(c_26711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = v_B )
      | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(global_subsumption_just,[status(thm)],[c_26515,c_1378,c_20815]) ).

tcf(c_26721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ( X2 = v_B )
      | ~ hBOOL(c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_26711,c_1311]) ).

tcf(c_26852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ( X2 = v_B )
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(global_subsumption_just,[status(thm)],[c_26721,c_1378,c_20947]) ).

tcf(c_39277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ( X2 = v_B )
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)) ),
    inference(global_subsumption_just,[status(thm)],[c_20947,c_26852]) ).

tcf(c_39281,plain,
    ( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
    | ( v_B = v_Ba ) ),
    inference(superposition,[status(thm)],[c_18623,c_39277]) ).

tcf(c_42423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(c_in(X0,X1,X2))
      | ( X2 != tc_Message_Oagent )
      | ( X1 != c_Event_Obad )
      | ( X0 != v_Ba ) ),
    inference(resolution,[status(thm)],[c_24192,c_1386]) ).

tcf(c_43571,plain,
    ( ( v_B != v_Ba )
    | ( c_Event_Obad != c_Event_Obad )
    | ( tc_Message_Oagent != tc_Message_Oagent ) ),
    inference(resolution,[status(thm)],[c_42423,c_1377]) ).

tcf(c_43572,plain,
    v_B != v_Ba,
    inference(equality_resolution_simp,[status(thm)],[c_43571]) ).

tcf(c_45044,plain,
    hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(global_subsumption_just,[status(thm)],[c_19600,c_19506,c_39281,c_43572]) ).

tcf(c_45048,plain,
    hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_1383,c_45044]) ).

tcf(c_45140,plain,
    hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_45048,c_1315]) ).

tcf(c_45255,plain,
    hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_45140,c_1315]) ).

tcf(c_45341,plain,
    hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)),
    inference(superposition,[status(thm)],[c_45255,c_1315]) ).

tcf(c_45372,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_45341,c_21678]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV749-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43  % Computer : n003.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Thu Sep 24 21:03:51 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49  Running first-order theorem proving
% 0.16/0.49  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.51  
% 0.26/0.51  % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51  
% 0.26/0.51  % Detected problem language: tptp
% 0.26/0.52  % Proving...
% 194.82/27.78  % SZS status Started for theBenchmark.p
% 194.82/27.78  % SZS status Unsatisfiable for theBenchmark.p
% 194.82/27.78  
% 194.82/27.78  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 194.82/27.78  
% 194.82/27.78  % ------  iProver source info
% 194.82/27.78  
% 194.82/27.78  % git: date: 2026-07-19 20:42:38 +0200
% 194.82/27.78  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 194.82/27.78  % git: non_committed_changes: false
% 194.82/27.78  
% 194.82/27.78  % ------ Parsing...% successful
% 194.82/27.78  
% 194.82/27.78  
% 194.82/27.78  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 194.82/27.78  
% 194.82/27.78  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 194.82/27.78  
% 194.82/27.78  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 194.82/27.78  
% 194.82/27.78  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 194.82/27.78  % ------ Proving...
% 194.82/27.78  % ------ Problem Properties 
% 194.82/27.78  
% 194.82/27.78  % 
% 194.82/27.78  % clauses                               517
% 194.82/27.78  % conjectures                           12
% 194.82/27.78  % EPR                                   26
% 194.82/27.78  % Horn                                  469
% 194.82/27.78  % unary                                 200
% 194.82/27.78  % binary                                203
% 194.82/27.78  % lits                                  996
% 194.82/27.78  % lits eq                               291
% 194.82/27.78  % fd_pure                               0
% 194.82/27.78  % fd_pseudo                             0
% 194.82/27.78  % fd_cond                               5
% 194.82/27.78  % fd_pseudo_cond                        69
% 194.82/27.78  % AC symbols                            0
% 194.82/27.78  
% 194.82/27.78  % ------ Input Options Time Limit: Unbounded
% 194.82/27.78  
% 194.82/27.78  
% 194.82/27.78  % ------ 
% 194.82/27.78  % Current options:
% 194.82/27.78  % ------ 
% 194.82/27.78  
% 194.82/27.78  
% 194.82/27.78  % 
% 194.82/27.78  
% 194.82/27.78  % ------ Proving...
% 194.82/27.78  % 
% 194.82/27.78  
% 194.82/27.78  % SZS status Unsatisfiable for theBenchmark.p
% 194.82/27.78  
% 194.82/27.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 194.82/27.78  
% 194.82/27.78  
%------------------------------------------------------------------------------