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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV358-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 02:47:28 PM UTC 2026

% Result   : Unsatisfiable 34.00s 4.86s
% Output   : CNFRefutation 34.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   42 (  19 unt;   0 def)
%            Number of atoms       :   65 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   48 (  25   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-3 aty)
%            Number of variables   :   71 (  71   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2728,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2774,axiom,
    ! [V_c,V_evs] :
      ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2833,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(f2847,axiom,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2852,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(f2862,axiom,
    ! [V_H] : c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2869,axiom,
    ! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2871,axiom,
    ! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2933,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2935,axiom,
    ! [V_K,V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2970,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2974,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6317,plain,
    ! [V_Y,V_H] :
      ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f2728]) ).

fof(f6318,plain,
    ! [X0,X1,X2] :
      ( 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(thm)],[f6317]) ).

fof(f6369,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f2774]) ).

fof(f6444,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)],[f2833]) ).

fof(f6445,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)],[f6444]) ).

fof(f6465,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f2847]) ).

fof(f6472,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f2852]) ).

fof(f6482,plain,
    ! [X0] : c_Message_Oparts(X0) = c_Message_Oanalz(c_Message_Oparts(X0)),
    inference(cnf_transformation,[status(thm)],[f2862]) ).

fof(f6490,plain,
    ! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
    inference(cnf_transformation,[status(thm)],[f2869]) ).

fof(f6492,plain,
    ! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
    inference(cnf_transformation,[status(thm)],[f2871]) ).

fof(f6560,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,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) ),
    inference(miniscoping,[status(thm)],[f2933]) ).

fof(f6561,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f6560]) ).

fof(f6564,plain,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f2935]) ).

fof(f6565,plain,
    ! [X0,X1,X2] :
      ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f6564]) ).

fof(f6625,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f2970]) ).

fof(f6629,plain,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(thm)],[f2974]) ).

fof(f6650,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f6629,f6561]) ).

fof(f6900,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_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f6445,f6650]) ).

fof(f6901,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f6445,f6465]) ).

fof(f7119,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f6472,f6465]) ).

fof(f7129,plain,
    ! [X0,X1,X2] :
      ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f7119,f6565]) ).

fof(f7244,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(c_Message_Oparts(X1)),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f6901,f7119]) ).

fof(f7403,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f7129,f6900]) ).

fof(f10012,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(forward_demodulation,[status(thm)],[f6482,f7244]) ).

fof(f10502,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f6490,f7403]) ).

fof(f10503,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f10502,f10012]) ).

fof(f10508,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f6492,f10503]) ).

fof(f15580,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f10508,f6318]) ).

fof(f16458,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f15580,f6369]) ).

fof(f16459,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f16458,f6625]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV358-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n011.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
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 08:43:10 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.25/0.48  % Drodi V4.1.1
% 34.00/4.86  % Refutation found
% 34.00/4.86  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.00/4.86  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.15/5.01  % Elapsed time: 4.652920 seconds
% 2.15/5.01  % CPU time: 35.141125 seconds
% 2.15/5.01  % Total memory used: 523.020 MB
% 2.15/5.01  % Net memory used: 509.980 MB
%------------------------------------------------------------------------------