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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 02:47:21 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   88 (  15 unt;  10 def)
%            Number of atoms       :  213 (  30 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  240 ( 115   ~; 115   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-3 aty)
%            Number of functors    :   31 (  31 usr;  16 con; 0-4 aty)
%            Number of variables   :  178 ( 178   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_X,V_Y,V_H] :
      ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_X,V_Y,V_H] :
      ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_A,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_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(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') ).

fof(f5,axiom,
    ! [V_evs,V_A,V_B,V_K,V_na,V_nb] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [V_evs,V_B,V_A,V_K] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(V_A,V_B,V_K,V_evs)),c_Message_Omsg_ONonce(v_sko__2jj(V_A,V_B,V_K,V_evs)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [V_evs,V_B,V_X] :
      ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | ~ 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_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [V_evs,V_A_H,V_B_H,V_K,V_na_H,V_nb_H,V_X_H,V_A,V_B,V_na,V_nb,V_X] :
      ( V_A = V_A_H
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [V_evs,V_A_H,V_B_H,V_K,V_na_H,V_nb_H,V_X_H,V_A,V_B,V_na,V_nb,V_X] :
      ( V_B = V_B_H
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [V_U] :
      ( v_A != v_Aa
      | v_B != v_Ba
      | V_U != v_X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f17,plain,
    ! [V_Y,V_H] :
      ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f19,plain,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f21,plain,
    ! [V_X,V_evs] :
      ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | ! [V_A] :
          ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
          | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X2,X1,X3,X0)),c_Message_Omsg_ONonce(v_sko__2jj(X2,X1,X3,X0)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f25,plain,
    ! [V_evs,V_X] :
      ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | ! [V_B] : ~ 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_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ! [V_A_H,V_A] :
      ( V_A = V_A_H
      | ! [V_evs,V_K] :
          ( ! [V_B,V_na,V_nb,V_X] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
          | ! [V_B_H,V_na_H,V_nb_H,V_X_H] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
          | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( X7 = X1
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f29,plain,
    ! [V_B_H,V_B] :
      ( V_B = V_B_H
      | ! [V_evs,V_K] :
          ( ! [V_A,V_na,V_nb,V_X] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),V_X)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
          | ! [V_A_H,V_na_H,V_nb_H,V_X_H] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na_H,V_nb_H)))),V_X_H)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
          | ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( X8 = X2
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f32,plain,
    ( v_A != v_Aa
    | v_B != v_Ba
    | ! [V_U] : V_U != v_X ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f33,plain,
    ! [X0] :
      ( v_A != v_Aa
      | v_B != v_Ba
      | X0 != v_X ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f34,plain,
    c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f35,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f36,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f37,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f38,definition,
    ! [X0] :
      ( sQ0_spl
    <=> X0 != v_X ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | X0 != v_X ),
    inference(component_clause,[status(thm)],[f38]) ).

fof(f41,definition,
    ( sQ1_spl
  <=> v_B = v_Ba ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f43,plain,
    ( sQ1_spl
    | v_B != v_Ba ),
    inference(component_clause,[status(thm)],[f41]) ).

fof(f44,definition,
    ( sQ2_spl
  <=> v_A = v_Aa ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f46,plain,
    ( sQ2_spl
    | v_A != v_Aa ),
    inference(component_clause,[status(thm)],[f44]) ).

fof(f47,plain,
    ( ~ sQ2_spl
    | ~ sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f33,f38,f41,f44]) ).

fof(f48,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f26,f34]) ).

fof(f49,definition,
    ( sQ3_spl
  <=> c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f51,plain,
    ( sQ3_spl
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(component_clause,[status(thm)],[f49]) ).

fof(f52,definition,
    ( sQ4_spl
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f53,plain,
    ( ~ sQ4_spl
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f52]) ).

fof(f55,plain,
    ( sQ4_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f48,f49,f52]) ).

fof(f56,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f51,f31]) ).

fof(f57,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f56]) ).

fof(f58,plain,
    ( ~ sQ4_spl
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f53,f20]) ).

fof(f60,plain,
    ( ~ sQ4_spl
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[status(thm)],[f58,f22]) ).

fof(f61,definition,
    ( sQ5_spl
  <=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f64,definition,
    ( sQ6_spl
  <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f65,plain,
    ( ~ sQ6_spl
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(component_clause,[status(thm)],[f64]) ).

fof(f67,plain,
    ( ~ sQ4_spl
    | sQ6_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f60,f61,f64,f52]) ).

fof(f69,plain,
    ( ~ sQ6_spl
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f65,f18]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X3))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f23,f16]) ).

fof(f71,plain,
    ( ~ sQ4_spl
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f70,f58]) ).

fof(f72,definition,
    ( sQ7_spl
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f73,plain,
    ( ~ sQ7_spl
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(component_clause,[status(thm)],[f72]) ).

fof(f75,plain,
    ( ~ sQ4_spl
    | sQ7_spl
    | sQ5_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f71,f49,f61,f72,f52]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X1,X0,X2,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(X1,X0,X2,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X2))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f24,f31]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X0,v_B,X1,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(X0,v_B,X1,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X1))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OKey(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f76,f37]) ).

fof(f78,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(v_A,v_B,v_K,v_evs4)),c_Message_Omsg_ONonce(v_sko__2jj(v_A,v_B,v_K,v_evs4)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(resolution,[status(thm)],[f77,f36]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | v_Ba = X1
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f73,f30]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | v_Aa = X0
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[status(thm)],[f73,f28]) ).

fof(f82,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ8_spl
    <=> ( v_Ba = X1
        | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ8_spl
      | v_Ba = X1
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(component_clause,[status(thm)],[f82]) ).

fof(f85,plain,
    ( ~ sQ7_spl
    | sQ8_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f80,f49,f82,f72]) ).

fof(f86,definition,
    ! [X0,X1,X2,X3,X4] :
      ( sQ9_spl
    <=> ( v_Aa = X0
        | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f87,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ9_spl
      | v_Aa = X0
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(component_clause,[status(thm)],[f86]) ).

fof(f89,plain,
    ( ~ sQ7_spl
    | sQ9_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f81,f49,f86,f72]) ).

fof(f100,plain,
    ( ~ sQ6_spl
    | c_in(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)],[f69,f20]) ).

fof(f102,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f100,f35]) ).

fof(f103,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f102]) ).

fof(f105,plain,
    ( ~ sQ8_spl
    | v_Ba = v_B ),
    inference(resolution,[status(thm)],[f83,f78]) ).

fof(f126,plain,
    ( ~ sQ9_spl
    | v_Aa = v_A ),
    inference(resolution,[status(thm)],[f87,f78]) ).

fof(f127,plain,
    ( ~ sQ9_spl
    | sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f126,f46]) ).

fof(f128,plain,
    ( ~ sQ9_spl
    | sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f127]) ).

fof(f129,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(destructive_equality_resolution,[status(thm)],[f39]) ).

fof(f130,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f129]) ).

fof(f138,plain,
    ( sQ1_spl
    | ~ sQ8_spl
    | v_B != v_B ),
    inference(forward_demodulation,[status(thm)],[f105,f43]) ).

fof(f139,plain,
    ( sQ1_spl
    | ~ sQ8_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f138]) ).

fof(f140,plain,
    ( sQ1_spl
    | ~ sQ8_spl ),
    inference(contradiction_clause,[status(thm)],[f139]) ).

fof(f141,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f47,f55,f57,f67,f75,f85,f89,f103,f128,f130,f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV332-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n013.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 08:40:36 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42  % Elapsed time: 0.060600 seconds
% 0.12/0.42  % CPU time: 0.162169 seconds
% 0.12/0.42  % Total memory used: 82.637 MB
% 0.12/0.42  % Net memory used: 82.135 MB
%------------------------------------------------------------------------------