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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV792-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 : Thu Sep 24 02:49:33 PM UTC 2026

% Result   : Unsatisfiable 7.66s 6.42s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   76 (  28 unt;   7 def)
%            Number of atoms       :  140 (  40 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  120 (  56   ~;  57   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-3 aty)
%            Number of functors    :   36 (  36 usr;  20 con; 0-3 aty)
%            Number of variables   :  113 ( 113   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | c_in(V_c,V_A,T_a)
      | c_in(V_c,V_B,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,V_B,T_a)
      | c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f395,axiom,
    ! [V_P,T_a] : c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f494,axiom,
    ! [V_xs,V_x,T_a] : V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f523,axiom,
    ! [V_P,V_xs,T_a,V_x] :
      ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
      | hBOOL(hAPP(V_P,V_x))
      | c_List_OtakeWhile(V_P,V_xs,T_a) != V_xs ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f533,axiom,
    ! [V_X,V_evs,V_A,V_B] :
      ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f558,axiom,
    ! [V_X,V_B,V_K,V_A,V_evs,V_NA] :
      ( ~ 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)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | V_X = 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))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f567,axiom,
    ! [V_nat,V_msg1_H,V_msg2_H] : c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f582,axiom,
    ! [V_nat,V_msg,V_nat_H,V_msg_H] :
      ( V_msg = V_msg_H
      | c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f605,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f606,negated_conjecture,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f608,negated_conjecture,
    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_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f611,negated_conjecture,
    v_B = v_Aa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f612,negated_conjecture,
    v_A = v_Ba,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f613,negated_conjecture,
    c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f642,axiom,
    ! [V_X,V_Y,T_a] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y))
      | V_X = V_Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f650,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)
      | c_in(X0,X3,X2)
      | c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f651,plain,
    ! [V_c,V_B,T_a] :
      ( ~ c_in(V_c,V_B,T_a)
      | ! [V_A] : c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f652,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X2,X3)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(cnf_transformation,[status(thm)],[f651]) ).

fof(f1187,plain,
    ! [X0,X1] : c_List_OtakeWhile(X0,c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(cnf_transformation,[status(thm)],[f395]) ).

fof(f1332,plain,
    ! [X0,X1,X2] : X0 != c_List_Olist_OCons(X1,X0,X2),
    inference(cnf_transformation,[status(thm)],[f494]) ).

fof(f1379,plain,
    ! [V_xs,T_a,V_x] :
      ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
      | ! [V_P] :
          ( hBOOL(hAPP(V_P,V_x))
          | c_List_OtakeWhile(V_P,V_xs,T_a) != V_xs ) ),
    inference(miniscoping,[status(thm)],[f523]) ).

fof(f1380,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X3,c_List_Oset(X1,X2),X2)
      | hBOOL(hAPP(X0,X3))
      | c_List_OtakeWhile(X0,X1,X2) != X1 ),
    inference(cnf_transformation,[status(thm)],[f1379]) ).

fof(f1393,plain,
    ! [V_X,V_evs] :
      ( ! [V_A,V_B] : ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f533]) ).

fof(f1394,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f1393]) ).

fof(f1432,plain,
    ! [V_X,V_B,V_K,V_A,V_evs] :
      ( ! [V_NA] : ~ 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)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | V_X = 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))) ),
    inference(miniscoping,[status(thm)],[f558]) ).

fof(f1433,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
      | c_in(X3,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) ),
    inference(cnf_transformation,[status(thm)],[f1432]) ).

fof(f1444,plain,
    ! [X0,X1,X2] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_OMPair(X1,X2),
    inference(cnf_transformation,[status(thm)],[f567]) ).

fof(f1464,plain,
    ! [V_msg,V_msg_H] :
      ( V_msg = V_msg_H
      | ! [V_nat,V_nat_H] : c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ),
    inference(miniscoping,[status(thm)],[f582]) ).

fof(f1465,plain,
    ! [X0,X1,X2,X3] :
      ( X1 = X3
      | c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f1464]) ).

fof(f1495,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(thm)],[f605]) ).

fof(f1496,plain,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[status(thm)],[f606]) ).

fof(f1498,plain,
    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_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(thm)],[f608]) ).

fof(f1501,plain,
    v_B = v_Aa,
    inference(cnf_transformation,[status(thm)],[f611]) ).

fof(f1502,plain,
    v_A = v_Ba,
    inference(cnf_transformation,[status(thm)],[f612]) ).

fof(f1503,plain,
    c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
    inference(cnf_transformation,[status(thm)],[f613]) ).

fof(f1540,plain,
    ! [V_X,V_Y] :
      ( ! [T_a] : ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y))
      | V_X = V_Y ),
    inference(miniscoping,[status(thm)],[f642]) ).

fof(f1541,plain,
    ! [X0,X1,X2] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1))
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f1540]) ).

fof(f1589,plain,
    ! [X0] : c_in(v_evs3,c_Lattices_Oupper__semilattice__class_Osup(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)),
    inference(resolution,[status(thm)],[f1496,f652]) ).

fof(f1590,plain,
    c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(forward_demodulation,[status(thm)],[f1501,f1498]) ).

fof(f1591,plain,
    c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(forward_demodulation,[status(thm)],[f1501,f1590]) ).

fof(f1592,plain,
    c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(forward_demodulation,[status(thm)],[f1502,f1591]) ).

fof(f1671,plain,
    ! [X0] :
      ( c_in(v_evs3,X0,tc_List_Olist(tc_Event_Oevent))
      | c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f1589,f650]) ).

fof(f1675,definition,
    ( sQ2_spl
  <=> c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f1678,definition,
    ! [X0] :
      ( sQ3_spl
    <=> c_in(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f1679,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | c_in(v_evs3,X0,tc_List_Olist(tc_Event_Oevent)) ),
    inference(component_clause,[status(thm)],[f1678]) ).

fof(f1681,plain,
    ( sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f1671,f1675,f1678]) ).

fof(f3163,plain,
    ! [X0,X1] :
      ( c_Message_Omsg_ONonce(v_Nb) = X1
      | v_X != c_Message_Omsg_OCrypt(X0,X1) ),
    inference(paramodulation,[status(thm)],[f1503,f1465]) ).

fof(f5106,definition,
    ! [X1] :
      ( sQ125_spl
    <=> v_evs3 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f5107,plain,
    ! [X0] :
      ( ~ sQ125_spl
      | v_evs3 = X0 ),
    inference(component_clause,[status(thm)],[f5106]) ).

fof(f5110,plain,
    ( ~ sQ125_spl
    | $false ),
    inference(resolution,[status(thm)],[f5107,f1332]) ).

fof(f5128,plain,
    ~ sQ125_spl,
    inference(contradiction_clause,[status(thm)],[f5110]) ).

fof(f5648,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | hBOOL(hAPP(X0,v_evs3))
      | c_List_OtakeWhile(X0,X1,tc_List_Olist(tc_Event_Oevent)) != X1 ),
    inference(resolution,[status(thm)],[f1380,f1679]) ).

fof(f5681,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | hBOOL(hAPP(X0,v_evs3))
      | c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) != c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) ),
    inference(paramodulation,[status(thm)],[f1187,f5648]) ).

fof(f5682,definition,
    ( sQ154_spl
  <=> c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) = c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).

fof(f5684,plain,
    ( sQ154_spl
    | c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) != c_List_Olist_ONil(tc_List_Olist(tc_Event_Oevent)) ),
    inference(component_clause,[status(thm)],[f5682]) ).

fof(f5685,definition,
    ! [X0] :
      ( sQ155_spl
    <=> hBOOL(hAPP(X0,v_evs3)) ),
    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).

fof(f5686,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | hBOOL(hAPP(X0,v_evs3)) ),
    inference(component_clause,[status(thm)],[f5685]) ).

fof(f5688,plain,
    ( ~ sQ3_spl
    | sQ155_spl
    | ~ sQ154_spl ),
    inference(split_clause,[status(thm)],[f5681,f5682,f5685,f1678]) ).

fof(f5691,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | X0 = v_evs3 ),
    inference(resolution,[status(thm)],[f5686,f1541]) ).

fof(f5696,plain,
    ( ~ sQ155_spl
    | sQ125_spl ),
    inference(split_clause,[status(thm)],[f5691,f5106,f5685]) ).

fof(f5698,plain,
    ( sQ154_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f5684]) ).

fof(f5699,plain,
    sQ154_spl,
    inference(contradiction_clause,[status(thm)],[f5698]) ).

fof(f5701,plain,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1394,f1592]) ).

fof(f7074,definition,
    ( sQ203_spl
  <=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_B))) ),
    introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).

fof(f7075,plain,
    ( ~ sQ203_spl
    | v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_B))) ),
    inference(component_clause,[status(thm)],[f7074]) ).

fof(f8824,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_B))) ),
    inference(resolution,[status(thm)],[f5701,f1433]) ).

fof(f8842,definition,
    ( sQ265_spl
  <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).

fof(f8843,plain,
    ( ~ sQ265_spl
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(component_clause,[status(thm)],[f8842]) ).

fof(f8846,plain,
    ( sQ265_spl
    | ~ sQ2_spl
    | sQ203_spl ),
    inference(split_clause,[status(thm)],[f8824,f7074,f1675,f8842]) ).

fof(f8853,plain,
    ( ~ sQ265_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8843,f1495]) ).

fof(f8854,plain,
    ~ sQ265_spl,
    inference(contradiction_clause,[status(thm)],[f8853]) ).

fof(f12246,plain,
    ( ~ sQ203_spl
    | c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_B)) ),
    inference(resolution,[status(thm)],[f7075,f3163]) ).

fof(f12268,plain,
    ( ~ sQ203_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f12246,f1444]) ).

fof(f12269,plain,
    ~ sQ203_spl,
    inference(contradiction_clause,[status(thm)],[f12268]) ).

fof(f12270,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1681,f5128,f5688,f5696,f5699,f8846,f8854,f12269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36  % Computer : n012.cluster.edu
% 0.08/5.36  % Model    : x86_64 x86_64
% 0.08/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36  % Memory   : 8046.5625MB
% 0.08/5.36  % OS       : Linux 6.8.0-71-generic
% 0.08/5.36  % CPULimit : 300
% 0.08/5.36  % WCLimit  : 300
% 0.08/5.36  % DateTime : Mon Sep 21 09:24:56 UTC 2026
% 0.08/5.36  % CPUTime  : 
% 0.12/5.40  % Drodi V4.1.1
% 7.66/6.42  % Refutation found
% 7.66/6.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.66/6.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.66/6.48  % Elapsed time: 1.102237 seconds
% 7.66/6.48  % CPU time: 8.236349 seconds
% 7.66/6.48  % Total memory used: 304.527 MB
% 7.66/6.48  % Net memory used: 297.511 MB
%------------------------------------------------------------------------------