TSTP Solution File: SWV802-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %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 : Sun May  5 10:40:02 EDT 2024

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   34 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  13   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  18 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f798,plain,
    $false,
    inference(avatar_sat_refutation,[],[f638,f712,f797]) ).

fof(f797,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f796]) ).

fof(f796,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f795,f688]) ).

fof(f688,plain,
    c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f592,f504]) ).

fof(f504,axiom,
    ! [X2,X73,X0,X1,X14,X15,X66,X30] :
      ( ~ c_in(c_Event_Oevent_OSays(X66,X1,c_Message_Omsg_OCrypt(X73,c_Message_Omsg_OMPair(X30,c_Message_Omsg_OMPair(X14,c_Message_Omsg_OMPair(X15,X2))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_NS3__msg__in__parts__spies_0) ).

fof(f592,axiom,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_conjecture_4) ).

fof(f795,plain,
    ( ~ c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f792,f637]) ).

fof(f637,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f792,plain,
    ( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f595,f503]) ).

fof(f503,axiom,
    ! [X2,X17] :
      ( c_Message_Oparts(X17) = c_Message_Oparts(c_Set_Oinsert(X2,X17,tc_Message_Omsg))
      | ~ c_in(X2,c_Message_Oparts(X17),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_parts__cut__eq_0) ).

fof(f595,axiom,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_conjecture_7) ).

fof(f712,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f711,f631]) ).

fof(f631,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f711,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f668,f688]) ).

fof(f668,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f596,f503]) ).

fof(f596,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_conjecture_8) ).

fof(f638,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f629,f635,f631]) ).

fof(f629,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f598,f597]) ).

fof(f597,axiom,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_conjecture_9) ).

fof(f598,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043',cls_conjecture_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.08  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Fri May  3 21:10:22 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.27  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.08/0.27  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.2D2IhHyBWp/Vampire---4.8_4043
% 0.45/0.62  % (4232)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.45/0.62  % (4234)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.45/0.62  % (4236)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.45/0.62  % (4233)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.45/0.62  % (4235)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.45/0.62  % (4231)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.45/0.62  % (4237)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.45/0.62  % (4238)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.46/0.64  % (4232)Instruction limit reached!
% 0.46/0.64  % (4232)------------------------------
% 0.46/0.64  % (4232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (4232)Termination reason: Unknown
% 0.46/0.64  % (4232)Termination phase: Saturation
% 0.46/0.64  
% 0.46/0.64  % (4232)Memory used [KB]: 1741
% 0.46/0.64  % (4232)Time elapsed: 0.016 s
% 0.46/0.64  % (4232)Instructions burned: 51 (million)
% 0.46/0.64  % (4232)------------------------------
% 0.46/0.64  % (4232)------------------------------
% 0.46/0.64  % (4236)First to succeed.
% 0.46/0.64  % (4234)Instruction limit reached!
% 0.46/0.64  % (4234)------------------------------
% 0.46/0.64  % (4234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (4234)Termination reason: Unknown
% 0.46/0.64  % (4234)Termination phase: Saturation
% 0.46/0.64  
% 0.46/0.64  % (4234)Memory used [KB]: 1798
% 0.46/0.64  % (4234)Time elapsed: 0.018 s
% 0.46/0.64  % (4234)Instructions burned: 33 (million)
% 0.46/0.64  % (4234)------------------------------
% 0.46/0.64  % (4234)------------------------------
% 0.46/0.64  % (4236)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4229"
% 0.46/0.64  % (4239)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.64  % (4235)Instruction limit reached!
% 0.46/0.64  % (4235)------------------------------
% 0.46/0.64  % (4235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (4235)Termination reason: Unknown
% 0.46/0.64  % (4235)Termination phase: Saturation
% 0.46/0.64  
% 0.46/0.64  % (4235)Memory used [KB]: 1902
% 0.46/0.64  % (4235)Time elapsed: 0.019 s
% 0.46/0.64  % (4235)Instructions burned: 35 (million)
% 0.46/0.64  % (4235)------------------------------
% 0.46/0.64  % (4235)------------------------------
% 0.46/0.64  % (4236)Refutation found. Thanks to Tanya!
% 0.46/0.64  % SZS status Unsatisfiable for Vampire---4
% 0.46/0.64  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.64  % (4236)------------------------------
% 0.46/0.64  % (4236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (4236)Termination reason: Refutation
% 0.46/0.64  
% 0.46/0.64  % (4236)Memory used [KB]: 1657
% 0.46/0.64  % (4236)Time elapsed: 0.018 s
% 0.46/0.64  % (4236)Instructions burned: 32 (million)
% 0.46/0.64  % (4229)Success in time 0.362 s
% 0.46/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------