TSTP Solution File: SWV294-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV294-2 : 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 : n011.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 23:09:22 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   84 (  19 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   93 (  40   ~;  53   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  14 con; 0-3 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f32]) ).

fof(f32,plain,
    ~ c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    inference(superposition,[],[f1,f31]) ).

fof(f31,plain,
    v_A = c_Message_Oagent_OSpy,
    inference(resolution,[],[f29,f2]) ).

fof(f2,axiom,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_1) ).

fof(f29,plain,
    ( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f28,f4]) ).

fof(f4,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/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_2) ).

fof(f28,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy
    | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f26,plain,
    ( v_A = c_Message_Oagent_OSpy
    | ~ c_in(v_X,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))
    | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f25,f6]) ).

fof(f6,axiom,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_4) ).

fof(f25,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
      | v_A = c_Message_Oagent_OSpy
      | ~ 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)) ),
    inference(resolution,[],[f24,f1]) ).

fof(f24,plain,
    ! [X0] :
      ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
      | v_A = c_Message_Oagent_OSpy
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f23,f14]) ).

fof(f14,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,[],[f12,f11]) ).

fof(f11,axiom,
    ! [X3,X5] :
      ( c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg)
      | ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f12,axiom,
    ! [X6,X7] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
      | ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X7,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f23,plain,
    ! [X0] :
      ( 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_OKey(v_K))),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)
      | v_A = c_Message_Oagent_OSpy ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( v_A = c_Message_Oagent_OSpy
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f21,f19]) ).

fof(f19,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy
    | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f17,f5]) ).

fof(f5,axiom,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_3) ).

fof(f17,plain,
    ( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
      | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_5) ).

fof(f3,axiom,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_18) ).

fof(f21,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | v_A = c_Message_Oagent_OSpy
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolution,[],[f20,f16]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Message_Omsg_OCrypt(X2,X3),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)
      | c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f15,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_Message_OCrypt__synth_0) ).

fof(f15,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,[],[f10,f13]) ).

fof(f13,axiom,
    ! [X8,X9,X7,X5] :
      ( ~ c_in(X5,c_union(X7,X8,X9),X9)
      | c_in(X5,X8,X9)
      | c_in(X5,X7,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_Set_OUnE_0) ).

fof(f10,axiom,
    ! [X2,X3,X4] :
      ( c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f20,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy ),
    inference(resolution,[],[f19,f11]) ).

fof(f1,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_conjecture_0) ).

fof(f8,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344',cls_Event_OSpy_A_58_Abad_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 07:53:41 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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/sandbox/tmp/tmp.8y95EuD79n/Vampire---4.8_29344
% 0.15/0.37  % (29590)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (29599)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43  % (29594)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43  % (29598)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43  % (29596)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43  % (29597)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43  % (29599)First to succeed.
% 0.22/0.43  % (29599)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (29599)------------------------------
% 0.22/0.43  % (29599)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (29599)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (29599)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (29599)Memory used [KB]: 1023
% 0.22/0.43  % (29599)Time elapsed: 0.007 s
% 0.22/0.43  % (29599)------------------------------
% 0.22/0.43  % (29599)------------------------------
% 0.22/0.43  % (29590)Success in time 0.067 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------