TSTP Solution File: SWV302-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 : Wed May  1 04:03:19 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :   55 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  28   ~;  21   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f29,f30,f31,f47,f49]) ).

fof(f49,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f12,f24]) ).

fof(f24,plain,
    ( ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_4
  <=> ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f12,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f47,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f27,f41,f8]) ).

fof(f8,axiom,
    ! [X3,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X6,X3),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_Message_Oparts_OBody__dest_0) ).

fof(f41,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_NB,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f34,f7]) ).

fof(f7,axiom,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_Message_OMPair__parts_1) ).

fof(f34,plain,
    ( ~ c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f32,f16]) ).

fof(f16,plain,
    ( v_NB = c_Message_Omsg_ONonce(v_NBa)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X2,X1] :
      ( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f3,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_conjecture_2) ).

fof(f27,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f31,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f5,f19]) ).

fof(f19,plain,
    ( spl0_3
  <=> 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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f5,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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_conjecture_5) ).

fof(f30,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f4,f26]) ).

fof(f4,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_conjecture_4) ).

fof(f29,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2,f26,f23,f19]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
      | 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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_conjecture_16) ).

fof(f17,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f14,f10]) ).

fof(f1,axiom,
    ( v_NB = c_Message_Omsg_ONonce(v_NBa)
    | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062',cls_conjecture_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n019.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:30:14 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.jyXcW8F7UT/Vampire---4.8_21062
% 0.56/0.75  % (21324)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)
% 0.56/0.75  % (21318)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)
% 0.56/0.75  % (21320)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (21319)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)
% 0.56/0.75  % (21321)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)
% 0.56/0.75  % (21322)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)
% 0.56/0.75  % (21324)First to succeed.
% 0.56/0.75  % (21322)Refutation not found, incomplete strategy% (21322)------------------------------
% 0.56/0.75  % (21322)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (21318)Refutation not found, incomplete strategy% (21318)------------------------------
% 0.56/0.75  % (21318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (21318)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (21318)Memory used [KB]: 971
% 0.56/0.75  % (21318)Time elapsed: 0.003 s
% 0.56/0.75  % (21325)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)
% 0.56/0.75  % (21318)Instructions burned: 3 (million)
% 0.56/0.75  % (21318)------------------------------
% 0.56/0.75  % (21318)------------------------------
% 0.56/0.75  % (21322)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (21322)Memory used [KB]: 972
% 0.56/0.75  % (21322)Time elapsed: 0.003 s
% 0.56/0.75  % (21322)Instructions burned: 3 (million)
% 0.56/0.75  % (21322)------------------------------
% 0.56/0.75  % (21322)------------------------------
% 0.56/0.75  % (21319)Also succeeded, but the first one will report.
% 0.56/0.75  % (21324)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (21324)------------------------------
% 0.56/0.75  % (21324)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (21324)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (21324)Memory used [KB]: 994
% 0.56/0.75  % (21324)Time elapsed: 0.003 s
% 0.56/0.75  % (21324)Instructions burned: 5 (million)
% 0.56/0.75  % (21324)------------------------------
% 0.56/0.75  % (21324)------------------------------
% 0.56/0.75  % (21314)Success in time 0.383 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------