TSTP Solution File: SWV305-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV305-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n014.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 : Thu Aug 31 23:09:28 EDT 2023

% Result   : Unsatisfiable 52.42s 8.05s
% Output   : Refutation 52.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   63 (   7 unt;   0 def)
%            Number of atoms       :  142 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  137 (  58   ~;  69   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   12 (  11 usr;  11 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :   21 (;  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70962,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1799,f4572,f6040,f15839,f16030,f47983,f48059,f49456,f59115,f69987,f70959]) ).

fof(f70959,plain,
    ( spl0_8
    | spl0_114
    | ~ spl0_264 ),
    inference(avatar_contradiction_clause,[],[f70958]) ).

fof(f70958,plain,
    ( $false
    | spl0_8
    | spl0_114
    | ~ spl0_264 ),
    inference(subsumption_resolution,[],[f70957,f6039]) ).

fof(f6039,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f6038]) ).

fof(f6038,plain,
    ( spl0_8
  <=> 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f70957,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_114
    | ~ spl0_264 ),
    inference(subsumption_resolution,[],[f70930,f48058]) ).

fof(f48058,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f48057]) ).

fof(f48057,plain,
    ( spl0_114
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f70930,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_264 ),
    inference(resolution,[],[f69986,f1374]) ).

fof(f1374,axiom,
    ! [X63,X53,X64] :
      ( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_Message_OCrypt__synth_0) ).

fof(f69986,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f69985]) ).

fof(f69985,plain,
    ( spl0_264
  <=> 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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f69987,plain,
    ( spl0_264
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f59107,f16028,f69985]) ).

fof(f16028,plain,
    ( spl0_50
  <=> ! [X14] :
        ( 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))))),X14,tc_Message_Omsg)
        | ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f59107,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f16435,f1476]) ).

fof(f1476,axiom,
    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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_4) ).

fof(f16435,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_50 ),
    inference(resolution,[],[f16029,f1540]) ).

fof(f1540,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f1474,f1438]) ).

fof(f1438,axiom,
    ! [X68,X53,X64] :
      ( ~ c_in(X53,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
      | ~ c_in(X68,c_Message_Oparts(c_insert(X53,X64,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X68,c_union(c_Message_Osynth(c_Message_Oanalz(X64)),c_Message_Oparts(X64),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f1474,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_2) ).

fof(f16029,plain,
    ( ! [X14] :
        ( ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
        | 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))))),X14,tc_Message_Omsg) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f16028]) ).

fof(f59115,plain,
    ( spl0_4
    | spl0_114
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f59114]) ).

fof(f59114,plain,
    ( $false
    | spl0_4
    | spl0_114
    | ~ spl0_167 ),
    inference(subsumption_resolution,[],[f59113,f49455]) ).

fof(f49455,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f49454]) ).

fof(f49454,plain,
    ( spl0_167
  <=> 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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f59113,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | spl0_4
    | spl0_114 ),
    inference(subsumption_resolution,[],[f4661,f48058]) ).

fof(f4661,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ 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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | spl0_4 ),
    inference(resolution,[],[f4571,f1374]) ).

fof(f4571,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f4570]) ).

fof(f4570,plain,
    ( spl0_4
  <=> 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f49456,plain,
    ( spl0_167
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f46507,f15837,f49454]) ).

fof(f15837,plain,
    ( spl0_49
  <=> ! [X14] :
        ( 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)))),X14,tc_Message_Omsg)
        | ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f46507,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f16127,f1475]) ).

fof(f1475,axiom,
    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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_3) ).

fof(f16127,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_49 ),
    inference(resolution,[],[f15838,f1540]) ).

fof(f15838,plain,
    ( ! [X14] :
        ( ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
        | 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)))),X14,tc_Message_Omsg) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f15837]) ).

fof(f48059,plain,
    ( ~ spl0_114
    | spl0_40 ),
    inference(avatar_split_clause,[],[f47996,f13248,f48057]) ).

fof(f13248,plain,
    ( spl0_40
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f47996,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_40 ),
    inference(resolution,[],[f47986,f1440]) ).

fof(f1440,axiom,
    ! [X4,X64] :
      ( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f47986,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f13248]) ).

fof(f47983,plain,
    ~ spl0_40,
    inference(avatar_contradiction_clause,[],[f47982]) ).

fof(f47982,plain,
    ( $false
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f47981,f1473]) ).

fof(f1473,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_1) ).

fof(f47981,plain,
    ( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f47956,f1472]) ).

fof(f1472,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_0) ).

fof(f47956,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_40 ),
    inference(resolution,[],[f13249,f1471]) ).

fof(f1471,axiom,
    ! [X54,X12] :
      ( c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f13249,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f13248]) ).

fof(f16030,plain,
    ( spl0_50
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1958,f1794,f16028]) ).

fof(f1794,plain,
    ( spl0_1
  <=> 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_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1958,plain,
    ( ! [X14] :
        ( 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))))),X14,tc_Message_Omsg)
        | ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) )
    | spl0_1 ),
    inference(resolution,[],[f1795,f1328]) ).

fof(f1328,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,X12,X1)
      | c_in(X4,X13,X1)
      | ~ c_in(X4,c_union(X12,X13,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_Set_OUnE_0) ).

fof(f1795,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_evsf)),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1794]) ).

fof(f15839,plain,
    ( spl0_49
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1875,f1797,f15837]) ).

fof(f1797,plain,
    ( spl0_2
  <=> 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_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1875,plain,
    ( ! [X14] :
        ( 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)))),X14,tc_Message_Omsg)
        | ~ 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_union(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) )
    | spl0_2 ),
    inference(resolution,[],[f1798,f1328]) ).

fof(f1798,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_evsf)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1797]) ).

fof(f6040,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1946,f1794,f6038]) ).

fof(f1946,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1795,f1440]) ).

fof(f4572,plain,
    ( ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1863,f1797,f4570]) ).

fof(f1863,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f1798,f1440]) ).

fof(f1799,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1477,f1797,f1794]) ).

fof(f1477,axiom,
    ( ~ 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_evsf)),tc_Message_Omsg)
    | ~ 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_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.28/0.29  % Problem    : SWV305-1 : TPTP v8.1.2. Released v3.2.0.
% 0.28/0.30  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.30/0.50  % Computer : n014.cluster.edu
% 0.30/0.50  % Model    : x86_64 x86_64
% 0.30/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.30/0.50  % Memory   : 8042.1875MB
% 0.30/0.50  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.30/0.50  % CPULimit   : 300
% 0.30/0.50  % WCLimit    : 300
% 0.30/0.50  % DateTime   : Tue Aug 29 08:57:00 EDT 2023
% 0.30/0.50  % CPUTime    : 
% 0.30/0.50  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.30/0.50  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.HHZCGSbFcv/Vampire---4.8_31844
% 0.30/0.50  % (32028)Running in auto input_syntax mode. Trying TPTP
% 0.35/0.56  % (32029)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.35/0.58  % (32030)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.35/0.58  % (32035)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.35/0.58  % (32031)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.35/0.58  % (32033)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.35/0.58  % (32032)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.35/0.58  % (32034)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 52.42/8.04  % (32031)First to succeed.
% 52.42/8.05  % (32031)Refutation found. Thanks to Tanya!
% 52.42/8.05  % SZS status Unsatisfiable for Vampire---4
% 52.42/8.05  % SZS output start Proof for Vampire---4
% See solution above
% 52.42/8.05  % (32031)------------------------------
% 52.42/8.05  % (32031)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 52.42/8.05  % (32031)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 52.42/8.05  % (32031)Termination reason: Refutation
% 52.42/8.05  
% 52.42/8.05  % (32031)Memory used [KB]: 83410
% 52.42/8.05  % (32031)Time elapsed: 7.453 s
% 52.42/8.05  % (32031)------------------------------
% 52.42/8.05  % (32031)------------------------------
% 52.42/8.05  % (32028)Success in time 7.508 s
% 52.42/8.05  % Vampire---4.8 exiting
%------------------------------------------------------------------------------