TSTP Solution File: SWV325-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV325-2 : 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 : n015.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 23:09:39 EDT 2023

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (   9 unt;   0 def)
%            Number of atoms       :   91 (   2 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  101 (  46   ~;  53   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-3 aty)
%            Number of variables   :   37 (;  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f33,f41]) ).

fof(f41,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f38,f3]) ).

fof(f3,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.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_2) ).

fof(f38,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f37,f4]) ).

fof(f4,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_C)))),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.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_3) ).

fof(f37,plain,
    ( ! [X0] :
        ( ~ 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_C)))),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f36,f2]) ).

fof(f2,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_1) ).

fof(f36,plain,
    ( ! [X0] :
        ( ~ 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_C)))),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
        | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f34,f1]) ).

fof(f1,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_0) ).

fof(f34,plain,
    ( ! [X0] :
        ( ~ 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_C)))),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
        | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | spl0_2 ),
    inference(resolution,[],[f19,f26]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oparts(c_insert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f25,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f11,f10]) ).

fof(f10,axiom,
    ! [X2,X4] :
      ( c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f11,axiom,
    ! [X6,X5] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
      | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X6,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f25,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X2,X3),c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X2,X3),c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f24,f10]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X2,X3),c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X2,X3),c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X2,X3),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f23,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_Message_OCrypt__synth_0) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f9,f12]) ).

fof(f12,axiom,
    ! [X8,X6,X7,X4] :
      ( ~ c_in(X4,c_union(X6,X7,X8),X8)
      | c_in(X4,X7,X8)
      | c_in(X4,X6,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_Set_OUnE_0) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( c_in(X3,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X3,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f19,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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f33,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f3]) ).

fof(f30,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f29,f5]) ).

fof(f5,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.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_4) ).

fof(f29,plain,
    ( ! [X0] :
        ( ~ 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(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f28,f2]) ).

fof(f28,plain,
    ( ! [X0] :
        ( ~ 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(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
        | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f27,f1]) ).

fof(f27,plain,
    ( ! [X0] :
        ( ~ 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(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
        | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | spl0_1 ),
    inference(resolution,[],[f26,f16]) ).

fof(f16,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_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_1
  <=> 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_1])]) ).

fof(f20,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f13,f18,f15]) ).

fof(f13,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_C)))),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,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) ),
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f6,axiom,
    v_C != v_B,
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_5) ).

fof(f7,axiom,
    ( v_C = v_B
    | ~ 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_C)))),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,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) ),
    file('/export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711',cls_conjecture_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV325-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 09:23:26 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.rv3FEx9oVN/Vampire---4.8_16711
% 0.15/0.36  % (16846)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (16848)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.40  % (16848)First to succeed.
% 0.21/0.40  % (16848)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.40  % (16848)------------------------------
% 0.21/0.40  % (16848)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.40  % (16848)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.40  % (16848)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (16848)Memory used [KB]: 9978
% 0.21/0.40  % (16848)Time elapsed: 0.004 s
% 0.21/0.40  % (16848)------------------------------
% 0.21/0.40  % (16848)------------------------------
% 0.21/0.40  % (16846)Success in time 0.039 s
% 0.21/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------