TSTP Solution File: SWV722-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:49:13 EDT 2024

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f472,axiom,
    ! [V_Y,V_H,V_X] :
      ( 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/sandbox2/benchmark/theBenchmark.p') ).

fof(f473,axiom,
    ! [V_X,V_H,V_Y] :
      ( 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(f477,axiom,
    ! [V_X,V_H] :
      ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
      | ~ c_in(V_X,V_H,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f479,axiom,
    ! [V_X,V_evs,V_A,V_B] :
      ( c_in(V_X,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f482,axiom,
    ! [V_X,V_H,V_K] :
      ( 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(f495,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f496,negated_conjecture,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1192,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(esa)],[f472]) ).

fof(f1193,plain,
    ! [X0,X1,X2] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f1192]) ).

fof(f1194,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(esa)],[f473]) ).

fof(f1195,plain,
    ! [X0,X1,X2] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f1194]) ).

fof(f1202,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f477]) ).

fof(f1205,plain,
    ! [V_X,V_evs] :
      ( c_in(V_X,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(esa)],[f479]) ).

fof(f1206,plain,
    ! [X0,X1,X2,X3] :
      ( c_in(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[status(esa)],[f1205]) ).

fof(f1210,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(esa)],[f482]) ).

fof(f1211,plain,
    ! [X0,X1,X2] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[status(esa)],[f1210]) ).

fof(f1230,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(esa)],[f495]) ).

fof(f1231,plain,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(cnf_transformation,[status(esa)],[f496]) ).

fof(f1348,plain,
    ! [X0,X1,X2] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[f1211,f1202]) ).

fof(f1467,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1206,f1230]) ).

fof(f1468,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1467,f1348]) ).

fof(f1470,plain,
    c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1468,f1193]) ).

fof(f1476,plain,
    c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1470,f1193]) ).

fof(f1481,plain,
    c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[f1476,f1195]) ).

fof(f1482,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1481,f1231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:42:34 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.38  % Drodi V3.6.0
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41  % Elapsed time: 0.056805 seconds
% 0.20/0.41  % CPU time: 0.110622 seconds
% 0.20/0.41  % Total memory used: 21.872 MB
% 0.20/0.41  % Net memory used: 21.824 MB
%------------------------------------------------------------------------------