TSTP Solution File: SWV306-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV306-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 : Tue Apr 30 20:46:37 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   35 (  15 unt;   0 def)
%            Number of atoms       :   55 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (  22   ~;  19   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1360,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(f1400,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1401,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),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(f1441,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(f1474,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1475,negated_conjecture,
    v_A = v_Aa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1476,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1479,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2958,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)],[f1360]) ).

fof(f3014,plain,
    ! [V_Y,V_H] :
      ( ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f1400]) ).

fof(f3015,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f3014]) ).

fof(f3016,plain,
    ! [V_X,V_H] :
      ( ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    inference(miniscoping,[status(esa)],[f1401]) ).

fof(f3017,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f3016]) ).

fof(f3067,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)],[f1441]) ).

fof(f3068,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)],[f3067]) ).

fof(f3108,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f1474]) ).

fof(f3109,plain,
    v_A = v_Aa,
    inference(cnf_transformation,[status(esa)],[f1475]) ).

fof(f3110,plain,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    inference(cnf_transformation,[status(esa)],[f1476]) ).

fof(f3113,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f1479]) ).

fof(f3115,plain,
    ( spl0_0
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    introduced(split_symbol_definition) ).

fof(f3116,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f3115]) ).

fof(f3117,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f3115]) ).

fof(f3134,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3110,f3108]) ).

fof(f3135,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3109,f3113]) ).

fof(f3136,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3110,f3135]) ).

fof(f3137,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f3109,f3136]) ).

fof(f3138,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3137,f3117]) ).

fof(f3139,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f3138]) ).

fof(f3155,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f3068,f3116]) ).

fof(f3191,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f3155,f3015]) ).

fof(f3223,plain,
    ( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f3191,f3017]) ).

fof(f3232,plain,
    ( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f3223,f2958]) ).

fof(f3233,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3232,f3134]) ).

fof(f3234,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f3233]) ).

fof(f3235,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3139,f3234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV306-1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:36:03 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.40  % Drodi V3.6.0
% 0.20/0.41  % Refutation found
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43  % Elapsed time: 0.073478 seconds
% 0.20/0.43  % CPU time: 0.136915 seconds
% 0.20/0.43  % Total memory used: 29.205 MB
% 0.20/0.43  % Net memory used: 29.135 MB
%------------------------------------------------------------------------------