TSTP Solution File: SWV358-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV358-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:41:28 EDT 2023

% Result   : Unsatisfiable 4.87s 1.08s
% Output   : CNFRefutation 4.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   51 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   63 (;  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2767,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2774,axiom,
    ! [V_c,V_evs] :
      ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
      | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2833,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2869,axiom,
    ! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2892,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2933,axiom,
    ! [V_A,V_B,V_X,V_evs] :
      ( ~ 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2935,axiom,
    ! [V_K,V_X,V_H] :
      ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f6362,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f2767]) ).

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(esa)],[f2774]) ).

fof(f6444,plain,
    ! [V_Y,V_H] :
      ( ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f2833]) ).

fof(f6445,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f6444]) ).

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

fof(f6513,plain,
    ! [V_Y,V_H] :
      ( ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f2892]) ).

fof(f6514,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)
      | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f6513]) ).

fof(f6560,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f2933]) ).

fof(f6561,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f6560]) ).

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

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

fof(f6625,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[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(esa)],[f2974]) ).

fof(f6700,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OMPair(X4,X0)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(resolution,[status(thm)],[f6445,f6561]) ).

fof(f6706,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)],[f6700,f6629]) ).

fof(f6887,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f6362,f6565]) ).

fof(f7156,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(paramodulation,[status(thm)],[f6490,f6887]) ).

fof(f7302,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f7156,f6369]) ).

fof(f7309,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_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f7302,f6706]) ).

fof(f7504,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f7309,f6514]) ).

fof(f7508,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f7504,f6514]) ).

fof(f7509,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f7508,f6625]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SWV358-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n003.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 11:44:23 EDT 2023
% 0.09/0.32  % CPUTime  : 
% 0.15/0.42  % Drodi V3.5.1
% 4.87/1.08  % Refutation found
% 4.87/1.08  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.87/1.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.87/1.14  % Elapsed time: 0.810757 seconds
% 4.87/1.14  % CPU time: 5.149476 seconds
% 4.87/1.14  % Memory used: 219.382 MB
%------------------------------------------------------------------------------