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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWV305-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 : Sun Sep 27 09:07:20 AM UTC 2026

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  19 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  26   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(c_1,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(clausify,[status(thm)],[cls_conjecture_0]) ).

fof(cls_conjecture_1,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('theBenchmark.p',cls_conjecture_1) ).

cnf(c_2,plain,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(clausify,[status(thm)],[cls_conjecture_1]) ).

fof(cls_conjecture_2,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('theBenchmark.p',cls_conjecture_2) ).

cnf(c_3,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(clausify,[status(thm)],[cls_conjecture_2]) ).

fof(cls_conjecture_3,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(c_4,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(clausify,[status(thm)],[cls_conjecture_3]) ).

fof(cls_conjecture_4,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('theBenchmark.p',cls_conjecture_4) ).

cnf(c_5,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(clausify,[status(thm)],[cls_conjecture_4]) ).

fof(cls_conjecture_5,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_conjecture_5) ).

cnf(c_6,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_conjecture_5]) ).

fof(cls_Message_OCrypt__synth_0,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_in(c_Message_Omsg_OKey(VAR_0),VAR_2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_1),VAR_2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_1),c_Message_Osynth(VAR_2),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OCrypt__synth_0) ).

cnf(c_7,plain,
    ( c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_OCrypt__synth_0]) ).

fof(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_in(VAR_0,c_union(c_Message_Osynth(c_Message_Oanalz(VAR_2)),c_Message_Oparts(VAR_2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(VAR_1,c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg)
      | ~ c_in(VAR_0,c_Message_Oparts(c_insert(VAR_1,VAR_2,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(c_8,plain,
    ( c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
    | ~ c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).

fof(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
      | ~ c_in(VAR_0,c_Message_Oanalz(VAR_1),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(c_9,plain,
    ( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
    | ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

fof(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(VAR_1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
      | ~ c_in(VAR_0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

cnf(c_10,plain,
    ( c_in(B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
    | ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(clausify,[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__dest_0]) ).

fof(cls_Set_OUnE_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(VAR_0,VAR_1,VAR_3)
      | c_in(VAR_0,VAR_2,VAR_3)
      | ~ c_in(VAR_0,c_union(VAR_1,VAR_2,VAR_3),VAR_3) ),
    file('theBenchmark.p',cls_Set_OUnE_0) ).

cnf(c_11,plain,
    ( c_in(A,B,D)
    | c_in(A,C,D)
    | ~ c_in(A,c_union(B,C,D),D) ),
    inference(clausify,[status(thm)],[cls_Set_OUnE_0]) ).

cnf(c_84,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_8,c_5]) ).

cnf(c_13,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_3,c_84]) ).

cnf(c_85,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_8,c_4]) ).

cnf(c_14,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_3,c_85]) ).

cnf(c_86,plain,
    ( c_in(A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_10,c_2]) ).

cnf(c_17,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_86,c_1]) ).

cnf(c_19,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_13,c_11]) ).

cnf(c_24,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_9,c_17]) ).

cnf(c_33,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_14,c_11]) ).

cnf(c_87,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_33,c_7]) ).

cnf(c_35,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_24,c_87]) ).

cnf(c_88,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_19,c_7]) ).

cnf(c_37,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_24,c_88]) ).

cnf(c_89,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_35,c_9]) ).

cnf(c_78,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(copy,[status(thm)],[c_89]) ).

cnf(c_79,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_78,c_6]) ).

cnf(c_80,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_79,c_37]) ).

cnf(c_90,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_80,c_9]) ).

cnf(c_83,plain,
    $false,
    inference(resolve,[status(thm)],[c_79,c_90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV305-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  % Computer : n009.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Sat Sep 26 13:30:14 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.19/0.46  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46  % Process 273070 was started by sandbox on n009,
% 0.19/0.46  % Sat Sep 26 13:30:14 2026
% 0.19/0.46  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.47  
% 0.19/0.47  % From the command line: assign(max_seconds, 300).
% 0.19/0.49  
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  
% 0.19/0.49  % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.19/0.49  % Length of proof is 23.
% 0.19/0.49  % Level of proof is 7.
% 0.19/0.49  % Maximum clause weight is 37.000.
% 0.19/0.49  % Given clauses 29.
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
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