TSTP Solution File: SWV355-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV355-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:46:49 EDT 2024

% Result   : Unsatisfiable 24.93s 3.62s
% Output   : CNFRefutation 26.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  19 unt;   0 def)
%            Number of atoms       :   51 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (  18   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   52 (  52   !;   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/sandbox/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/sandbox/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/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(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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f2970,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2972,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_evs1,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6360,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(f6367,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(f6442,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(f6443,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)],[f6442]) ).

fof(f6488,plain,
    ! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
    inference(cnf_transformation,[status(esa)],[f2869]) ).

fof(f6490,plain,
    ! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
    inference(cnf_transformation,[status(esa)],[f2871]) ).

fof(f6511,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(f6512,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)],[f6511]) ).

fof(f6558,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(f6559,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)],[f6558]) ).

fof(f6562,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(f6563,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)],[f6562]) ).

fof(f6623,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f2970]) ).

fof(f6625,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_evs1,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(esa)],[f2972]) ).

fof(f7332,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_evs1)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f6559,f6625]) ).

fof(f7358,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_evs1)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f7332,f6443]) ).

fof(f8326,plain,
    ! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(c_Message_Oanalz(X0)),
    inference(paramodulation,[status(thm)],[f6488,f6490]) ).

fof(f8512,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_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1))),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f6360,f7358]) ).

fof(f8513,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_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1))),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f8326,f8512]) ).

fof(f8514,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f6490,f8513]) ).

fof(f9298,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_evs1)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f8514,f6563]) ).

fof(f9360,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_evs1),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f9298,f6367]) ).

fof(f9368,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f9360,f6512]) ).

fof(f9388,plain,
    c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f9368,f6512]) ).

fof(f9389,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f9388,f6623]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV355-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n032.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue Apr 30 00:44:06 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.15/0.44  % Drodi V3.6.0
% 24.93/3.62  % Refutation found
% 24.93/3.62  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.93/3.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.12/3.76  % Elapsed time: 3.405527 seconds
% 26.12/3.76  % CPU time: 25.654718 seconds
% 26.12/3.76  % Total memory used: 495.128 MB
% 26.12/3.76  % Net memory used: 487.802 MB
%------------------------------------------------------------------------------