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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV794-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 03:24:13 PM UTC 2026

% Result   : Unsatisfiable 16.09s 3.49s
% Output   : CNFRefutation 16.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  16 unt;   0 def)
%            Number of atoms       :   92 (   7 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  110 (  50   ~;  60   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   27 (  27 usr;  16 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  62   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f555,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).

fof(f556,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 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)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | 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/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).

fof(f563,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | c_NS__Shared__Mirabelle_OIssues(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__Issues__A_0) ).

fof(f638,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f639,negated_conjecture,
    c_in(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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f640,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f641,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f642,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f643,negated_conjecture,
    c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f644,negated_conjecture,
    ~ c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),v_evs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

tcf(c_622,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f638]) ).

tcf(c_623,negated_conjecture,
    c_in(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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f639]) ).

tcf(c_624,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f640]) ).

tcf(c_625,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f641]) ).

tcf(c_626,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f642]) ).

tcf(c_627,negated_conjecture,
    c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f643]) ).

tcf(c_628,negated_conjecture,
    ~ c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),v_evs),
    inference(cnf_transformation,[],[f644]) ).

tcf(c_763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | 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)
      | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ 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,[],[f556]) ).

tcf(c_773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_NS__Shared__Mirabelle_OIssues(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3)),X4)
      | c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X3))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f563]) ).

tcf(c_906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X6))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ 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,[],[f555]) ).

tcf(c_4223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | c_in(X2,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
      | ( X4 != v_evs )
      | ( X3 != v_A )
      | ( X2 != v_B )
      | ( c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)) != c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) ) ),
    inference(resolution_lifted,[status(thm)],[c_773,c_628]) ).

tcf(c_4224,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ( c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)) != c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) ) ),
    inference(unflattening,[status(thm)],[c_4223]) ).

tcf(c_4226,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ( c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)) != c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) )
      | ~ c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(global_subsumption_just,[status(thm)],[c_4224,c_627,c_626,c_625,c_4224]) ).

tcf(c_4227,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ( c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(X1)) != c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) ) ),
    inference(renaming,[status(thm)],[c_4226]) ).

tcf(c_11331,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(equality_resolution,[status(thm)],[c_4227]) ).

tcf(c_11332,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(forward_subsumption_resolution,[status(thm)],[c_11331,c_624]) ).

tcf(c_19035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | 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(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ 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,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_763]) ).

tcf(c_19769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ 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(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(instantiation,[status(thm)],[c_906]) ).

tcf(c_27672,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | 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),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_19035]) ).

tcf(c_27673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(X2,X0,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(instantiation,[status(thm)],[c_19769]) ).

tcf(c_31096,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ 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),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(instantiation,[status(thm)],[c_27673]) ).

tcf(c_31097,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_31096,c_27672,c_11332,c_623,c_622,c_624,c_625,c_627]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.57  % Computer : n015.cluster.edu
% 0.09/0.57  % Model    : x86_64 x86_64
% 0.09/0.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57  % Memory   : 8046.5625MB
% 0.09/0.57  % OS       : Linux 6.8.0-71-generic
% 0.09/0.57  % CPULimit : 300
% 0.09/0.57  % WCLimit  : 300
% 0.09/0.57  % DateTime : Thu Sep 24 21:08:42 UTC 2026
% 0.09/0.58  % CPUTime  : 
% 0.09/0.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.61  Running first-order theorem proving
% 0.09/0.61  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.62  
% 0.09/0.62  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62  
% 0.09/0.62  % Detected problem language: tptp
% 0.14/0.63  % Proving...
% 16.09/3.49  % SZS status Started for theBenchmark.p
% 16.09/3.49  % SZS status Unsatisfiable for theBenchmark.p
% 16.09/3.49  
% 16.09/3.49  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.09/3.49  
% 16.09/3.49  % ------  iProver source info
% 16.09/3.49  
% 16.09/3.49  % git: date: 2026-07-19 20:42:38 +0200
% 16.09/3.49  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.09/3.49  % git: non_committed_changes: false
% 16.09/3.49  
% 16.09/3.49  % ------ Parsing...% successful
% 16.09/3.49  
% 16.09/3.49  
% 16.09/3.49  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 16.09/3.49  
% 16.09/3.49  % ------ Preprocessing... sup_sim: 14  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 16.09/3.49  
% 16.09/3.49  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 16.09/3.49  
% 16.09/3.49  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 16.09/3.49  % ------ Proving...
% 16.09/3.49  % ------ Problem Properties 
% 16.09/3.49  
% 16.09/3.49  % 
% 16.09/3.49  % clauses                               284
% 16.09/3.49  % conjectures                           6
% 16.09/3.49  % EPR                                   5
% 16.09/3.49  % Horn                                  261
% 16.09/3.49  % unary                                 112
% 16.09/3.49  % binary                                112
% 16.09/3.49  % lits                                  540
% 16.09/3.49  % lits eq                               155
% 16.09/3.49  % fd_pure                               0
% 16.09/3.49  % fd_pseudo                             0
% 16.09/3.49  % fd_cond                               1
% 16.09/3.49  % fd_pseudo_cond                        41
% 16.09/3.49  % AC symbols                            0
% 16.09/3.49  
% 16.09/3.49  % ------ Schedule dynamic 5 is on 
% 16.09/3.49  
% 16.09/3.49  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.09/3.49  
% 16.09/3.49  
% 16.09/3.49  % ------ 
% 16.09/3.49  % Current options:
% 16.09/3.49  % ------ 
% 16.09/3.49  
% 16.09/3.49  
% 16.09/3.49  % 
% 16.09/3.49  
% 16.09/3.49  % ------ Proving...
% 16.09/3.49  % 
% 16.09/3.49  
% 16.09/3.49  % SZS status Unsatisfiable for theBenchmark.p
% 16.09/3.49  
% 16.09/3.49  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.09/3.49  
% 16.09/3.49  
%------------------------------------------------------------------------------