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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV307-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 02:47:15 PM UTC 2026

% Result   : Unsatisfiable 0.24s 0.59s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  15 unt;   0 def)
%            Number of atoms       :   31 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1360,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f1401,axiom,
    ! [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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1441,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f1474,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1476,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1478,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1480,negated_conjecture,
    v_A = v_Ba,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2959,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(thm)],[f1360]) ).

fof(f3017,plain,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(thm)],[f1401]) ).

fof(f3018,plain,
    ! [X0,X1,X2] :
      ( 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(thm)],[f3017]) ).

fof(f3068,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)],[f1441]) ).

fof(f3069,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)],[f3068]) ).

fof(f3109,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f1474]) ).

fof(f3111,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f1476]) ).

fof(f3113,plain,
    v_NA = c_Message_Omsg_ONonce(v_NB),
    inference(cnf_transformation,[status(thm)],[f1478]) ).

fof(f3115,plain,
    v_A = v_Ba,
    inference(cnf_transformation,[status(thm)],[f1480]) ).

fof(f3165,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3113,f3109]) ).

fof(f3172,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3115,f3111]) ).

fof(f3173,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3115,f3172]) ).

fof(f3194,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f3069,f3173]) ).

fof(f3196,plain,
    c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f3194,f3018]) ).

fof(f3201,plain,
    c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f3196,f2959]) ).

fof(f3202,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3201,f3165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV307-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  % Computer : n020.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Mon Sep 21 08:40:02 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.24/0.55  % Drodi V4.1.1
% 0.24/0.59  % Refutation found
% 0.24/0.59  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.64  % Elapsed time: 0.151538 seconds
% 0.24/0.64  % CPU time: 0.268712 seconds
% 0.24/0.64  % Total memory used: 78.583 MB
% 0.24/0.64  % Net memory used: 78.391 MB
%------------------------------------------------------------------------------