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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% 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 : Fri Sep 25 03:12:53 PM UTC 2026

% Result   : Unsatisfiable 19.29s 3.02s
% Output   : Proof 19.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   61 (  17 unt;   0 def)
%            Number of atoms       :  109 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   96 (  48   ~;  48   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  13 con; 0-3 aty)
%            Number of variables   :   80 (  12 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f6,axiom,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ 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_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f6_nnf,plain,
    ! [V_evs,V_B,V_X] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ 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_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [V_evs,V_B,V_X] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ 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_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(f9,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f9_nnf,plain,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(nnf_transformation,[status(thm)],[f9]) ).

cnf(c9,plain,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[status(esa)],[f9_nnf]) ).

cnf(p45,plain,
    ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[status(thm)],[c6,c9]) ).

cnf(f10,negated_conjecture,
    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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f10_nnf,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(nnf_transformation,[status(thm)],[f10]) ).

cnf(c10,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(cnf_transformation,[status(esa)],[f10_nnf]) ).

cnf(p46,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(resolution,[status(thm)],[p45,c10]) ).

cnf(f0,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_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f0_nnf,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( c_in(V_X,c_Message_Oanalz(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) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [V_A,V_B,V_X,V_evs] :
      ( c_in(V_X,c_Message_Oanalz(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) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p200,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(resolution,[status(thm)],[p46,c0]) ).

cnf(f3,axiom,
    ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
    | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f3_nnf,plain,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p202,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[p200,c3]) ).

cnf(f1,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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f1_nnf,plain,
    ! [V_X,V_Y,V_H] :
      ( 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) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [V_X,V_Y,V_H] :
      ( 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) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p206,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[p202,c1]) ).

cnf(f2,axiom,
    ( c_in(V_X,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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f2_nnf,plain,
    ! [V_X,V_Y,V_H] :
      ( c_in(V_X,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) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [V_X,V_Y,V_H] :
      ( c_in(V_X,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) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p348,plain,
    c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[p206,c2]) ).

cnf(f5,axiom,
    ( c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
    | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).

fof(f5_nnf,plain,
    ! [V_X,V_H] :
      ( c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
      | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [V_X,V_H] :
      ( c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
      | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
    | ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p353,plain,
    c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),
    inference(resolution,[status(thm)],[p348,c5]) ).

cnf(f13,negated_conjecture,
    ( 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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f13_nnf,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(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,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(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,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(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p355,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_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(demodulation,[status(thm)],[p353,c13]) ).

cnf(f11,negated_conjecture,
    ( ~ 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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f11_nnf,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(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,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(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,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(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p682,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[status(thm)],[p355,c11]) ).

cnf(p688,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(factoring,[status(thm)],[p682]) ).

cnf(f7,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
    | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(f7_nnf,plain,
    ! [V_A,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [V_A,V_evs] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
      | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
    | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p690,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg),
    inference(resolution,[status(thm)],[p688,c7]) ).

cnf(p693,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[p690,c3]) ).

cnf(f12,negated_conjecture,
    ( ~ 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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f12_nnf,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(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,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(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,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(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p354,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(demodulation,[status(thm)],[p353,c12]) ).

cnf(p691,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),
    inference(resolution,[status(thm)],[p688,p354]) ).

cnf(p703,plain,
    $false,
    inference(resolution,[status(thm)],[p693,p691]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 19:11:58 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.03/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.29/3.02  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.29/3.02  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------