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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWV323-2 : 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 09:07:24 AM UTC 2026

% Result   : Unsatisfiable 0.08s 0.40s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   54 (  15 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  38   ~;  48   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  13 con; 0-3 aty)
%            Number of variables   :   71 (   9 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(c_1,plain,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(clausify,[status(thm)],[cls_conjecture_0]) ).

fof(cls_conjecture_3,axiom,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(c_2,plain,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(clausify,[status(thm)],[cls_conjecture_3]) ).

fof(cls_conjecture_4,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('theBenchmark.p',cls_conjecture_4) ).

cnf(c_3,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(clausify,[status(thm)],[cls_conjecture_4]) ).

fof(cls_conjecture_6,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('theBenchmark.p',cls_conjecture_6) ).

cnf(c_4,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(clausify,[status(thm)],[cls_conjecture_6]) ).

fof(cls_conjecture_7,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_conjecture_7) ).

cnf(c_5,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_conjecture_7]) ).

fof(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(VAR_2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(VAR_0,VAR_1,VAR_2),c_List_Oset(VAR_3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(c_6,plain,
    ( c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(clausify,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_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_7,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_OKey__synth_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(c_Message_Omsg_OKey(VAR_0),VAR_1,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(VAR_0),c_Message_Osynth(VAR_1),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OKey__synth_0) ).

cnf(c_8,plain,
    ( c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_OKey__synth_0]) ).

fof(cls_Message_OMPair__synth__analz__iff1_0,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_in(VAR_0,c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

cnf(c_9,plain,
    ( c_in(A,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0]) ).

fof(cls_Message_OMPair__synth__analz__iff1_1,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_in(VAR_1,c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).

cnf(c_10,plain,
    ( c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_1]) ).

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_11,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_Message_Oparts_OInj_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
      | ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(c_12,plain,
    ( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
    | ~ c_in(A,B,tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_Oparts_OInj_0]) ).

fof(cls_Message_Osynth_OInj_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(VAR_0,c_Message_Osynth(VAR_1),tc_Message_Omsg)
      | ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
    file('theBenchmark.p',cls_Message_Osynth_OInj_0) ).

cnf(c_13,plain,
    ( c_in(A,c_Message_Osynth(B),tc_Message_Omsg)
    | ~ c_in(A,B,tc_Message_Omsg) ),
    inference(clausify,[status(thm)],[cls_Message_Osynth_OInj_0]) ).

fof(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
    ! [VAR_0,VAR_1,VAR_2] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(VAR_1,VAR_2,VAR_0),VAR_1,VAR_2),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(VAR_1,VAR_2),c_List_Oset(VAR_0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(VAR_0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

cnf(c_14,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(clausify,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).

fof(cls_Public_OSpy__spies__bad__shrK_0,axiom,
    ! [VAR_0,VAR_1] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_0)),c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1),tc_Message_Omsg)
      | ~ c_in(VAR_0,c_Event_Obad,tc_Message_Oagent) ),
    file('theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

cnf(c_15,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)
    | ~ c_in(A,c_Event_Obad,tc_Message_Oagent) ),
    inference(clausify,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_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_16,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]) ).

fof(cls_Set_OinsertCI_0,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( c_in(VAR_0,c_insert(VAR_3,VAR_1,VAR_2),VAR_2)
      | ~ c_in(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',cls_Set_OinsertCI_0) ).

cnf(c_17,plain,
    ( c_in(A,c_insert(D,B,C),C)
    | ~ c_in(A,B,C) ),
    inference(clausify,[status(thm)],[cls_Set_OinsertCI_0]) ).

cnf(c_19,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_7,c_5]) ).

cnf(c_249,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolve,[status(thm)],[c_14,c_2]) ).

cnf(c_23,plain,
    c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(resolve,[status(thm)],[c_1,c_249]) ).

cnf(c_43,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_23,c_6]) ).

cnf(c_78,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_43,c_13]) ).

cnf(c_87,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_78,c_10]) ).

cnf(c_115,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_87,c_9]) ).

cnf(c_117,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(resolve,[status(thm)],[c_115,c_19]) ).

cnf(c_205,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_117,c_16]) ).

cnf(c_250,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_205,c_3]) ).

cnf(c_211,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(copy,[status(thm)],[c_250]) ).

cnf(c_224,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_211,c_8]) ).

cnf(c_228,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_224,c_11]) ).

cnf(c_251,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolve,[status(thm)],[c_228,c_3]) ).

cnf(c_232,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(copy,[status(thm)],[c_251]) ).

cnf(c_233,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_232,c_4]) ).

cnf(c_235,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_232,c_15]) ).

cnf(c_237,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_235,c_17]) ).

cnf(c_252,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg),
    inference(resolve,[status(thm)],[c_12,c_233]) ).

cnf(c_248,plain,
    $false,
    inference(resolve,[status(thm)],[c_237,c_252]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sat Sep 26 13:31:59 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36  % Process 278741 was started by sandbox on n009,
% 0.08/0.36  % Sat Sep 26 13:31:59 2026
% 0.08/0.36  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36  
% 0.08/0.36  % From the command line: assign(max_seconds, 300).
% 0.08/0.40  
% 0.08/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.40  
% 0.08/0.40  % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.08/0.40  % Length of proof is 33.
% 0.08/0.40  % Level of proof is 14.
% 0.08/0.40  % Maximum clause weight is 86.000.
% 0.08/0.40  % Given clauses 94.
% 0.08/0.40  
% 0.08/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------