TSTP Solution File: SWV803_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV803_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n026.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 04:13:21 EDT 2024

% Result   : Theorem 1.03s 0.90s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  156 (  19 unt;  55 typ;   0 def)
%            Number of atoms       :  263 (  50 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  275 ( 113   ~; 112   |;  18   &)
%                                         (   6 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   54 (  28   >;  26   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-4 aty)
%            Number of functors    :   46 (  46 usr;  22 con; 0-4 aty)
%            Number of variables   :  217 ( 212   !;   0   ?; 217   :)
%                                         (   5  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    event: $tType ).

tff(type_def_6,type,
    bool: $tType ).

tff(type_def_7,type,
    list: $tType > $tType ).

tff(type_def_8,type,
    agent1: $tType ).

tff(type_def_9,type,
    msg: $tType ).

tff(type_def_10,type,
    nat: $tType ).

tff(type_def_11,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    bad: fun(agent1,bool) ).

tff(func_def_1,type,
    notes: ( agent1 * msg ) > event ).

tff(func_def_2,type,
    says: ( agent1 * agent1 * msg ) > event ).

tff(func_def_3,type,
    knows: ( agent1 * list(event) ) > fun(msg,bool) ).

tff(func_def_4,type,
    used: list(event) > fun(msg,bool) ).

tff(func_def_5,type,
    cons: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_6,type,
    set: 
      !>[X0: $tType] : ( list(X0) > fun(X0,bool) ) ).

tff(func_def_7,type,
    server: agent1 ).

tff(func_def_8,type,
    spy: agent1 ).

tff(func_def_9,type,
    analz: fun(msg,bool) > fun(msg,bool) ).

tff(func_def_10,type,
    agent: agent1 > msg ).

tff(func_def_11,type,
    crypt: ( nat * msg ) > msg ).

tff(func_def_12,type,
    key: nat > msg ).

tff(func_def_13,type,
    mPair: ( msg * msg ) > msg ).

tff(func_def_14,type,
    nonce: nat > msg ).

tff(func_def_15,type,
    parts: fun(msg,bool) > fun(msg,bool) ).

tff(func_def_16,type,
    symKeys: fun(nat,bool) ).

tff(func_def_17,type,
    nS_Sha254967238shared: fun(list(event),bool) ).

tff(func_def_18,type,
    shrK: agent1 > nat ).

tff(func_def_19,type,
    aa1: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_20,type,
    fFalse: bool ).

tff(func_def_21,type,
    fTrue: bool ).

tff(func_def_22,type,
    a: agent1 ).

tff(func_def_23,type,
    aa: agent1 ).

tff(func_def_24,type,
    b: agent1 ).

tff(func_def_25,type,
    b1: agent1 ).

tff(func_def_26,type,
    ba: agent1 ).

tff(func_def_27,type,
    k: nat ).

tff(func_def_28,type,
    ka: nat ).

tff(func_def_29,type,
    na: nat ).

tff(func_def_30,type,
    nAa: nat ).

tff(func_def_31,type,
    nb: nat ).

tff(func_def_32,type,
    nBa: nat ).

tff(func_def_33,type,
    s: agent1 ).

tff(func_def_34,type,
    x: msg ).

tff(func_def_35,type,
    xa: msg ).

tff(func_def_36,type,
    evs5: list(event) ).

tff(func_def_37,type,
    sK0: ( list(event) * agent1 * nat * agent1 ) > msg ).

tff(func_def_38,type,
    sK1: ( msg * agent1 * list(event) ) > agent1 ).

tff(func_def_39,type,
    sK2: ( list(event) * nat * msg ) > msg ).

tff(func_def_40,type,
    sK3: ( list(event) * nat * msg ) > msg ).

tff(func_def_41,type,
    sK4: ( msg * list(event) * nat ) > msg ).

tff(func_def_42,type,
    sK5: ( list(event) * nat ) > msg ).

tff(func_def_43,type,
    sK6: ( list(event) * nat ) > msg ).

tff(pred_def_1,type,
    nS_Sha512322870Issues: ( agent1 * agent1 * msg * list(event) ) > $o ).

tff(pred_def_2,type,
    nS_Sha993195050haredp: list(event) > $o ).

tff(pred_def_3,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_4,type,
    pp: bool > $o ).

tff(f1724,plain,
    $false,
    inference(avatar_sat_refutation,[],[f488,f489,f1021,f1025,f1117,f1552,f1723]) ).

tff(f1723,plain,
    ( ~ spl7_1
    | spl7_4
    | ~ spl7_5
    | ~ spl7_19 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

tff(f1722,plain,
    ( $false
    | ~ spl7_1
    | spl7_4
    | ~ spl7_5
    | ~ spl7_19 ),
    inference(subsumption_resolution,[],[f1720,f483]) ).

tff(f483,plain,
    ( ( a != aa )
    | spl7_4 ),
    inference(avatar_component_clause,[],[f481]) ).

tff(f481,plain,
    ( spl7_4
  <=> ( a = aa ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

tff(f1720,plain,
    ( ( a = aa )
    | ~ spl7_1
    | ~ spl7_5
    | ~ spl7_19 ),
    inference(resolution,[],[f833,f1574]) ).

tff(f1574,plain,
    ( member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(b),mPair(key(k),x))))),set(event,evs5))
    | ~ spl7_1
    | ~ spl7_5
    | ~ spl7_19 ),
    inference(backward_demodulation,[],[f1346,f486]) ).

tff(f486,plain,
    ( ( b = ba )
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f485]) ).

tff(f485,plain,
    ( spl7_5
  <=> ( b = ba ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

tff(f1346,plain,
    ( member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),x))))),set(event,evs5))
    | ~ spl7_1
    | ~ spl7_19 ),
    inference(backward_demodulation,[],[f1019,f1315]) ).

tff(f1315,plain,
    ( ( xa = x )
    | ~ spl7_1
    | ~ spl7_19 ),
    inference(resolution,[],[f830,f1019]) ).

tff(f830,plain,
    ( ! [X2: msg,X3: agent1,X0: msg,X1: agent1] :
        ( ~ member(event,says(server,X1,crypt(shrK(X1),mPair(X2,mPair(agent(X3),mPair(key(k),X0))))),set(event,evs5))
        | ( x = X0 ) )
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f810,f314]) ).

tff(f314,plain,
    member(list(event),evs5,nS_Sha254967238shared),
    inference(cnf_transformation,[],[f105]) ).

tff(f105,axiom,
    member(list(event),evs5,nS_Sha254967238shared),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',conj_2) ).

tff(f810,plain,
    ( ! [X2: msg,X3: agent1,X0: msg,X1: agent1] :
        ( ~ member(list(event),evs5,nS_Sha254967238shared)
        | ( x = X0 )
        | ~ member(event,says(server,X1,crypt(shrK(X1),mPair(X2,mPair(agent(X3),mPair(key(k),X0))))),set(event,evs5)) )
    | ~ spl7_1 ),
    inference(resolution,[],[f653,f418]) ).

tff(f418,plain,
    ! [X2: msg,X3: agent1,X0: msg,X1: agent1,X8: msg,X6: nat,X9: agent1,X7: agent1,X4: list(event),X5: msg] :
      ( ~ member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
      | ~ member(list(event),X4,nS_Sha254967238shared)
      | ( X0 = X5 )
      | ~ member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4)) ),
    inference(cnf_transformation,[],[f251]) ).

tff(f251,plain,
    ! [X0: msg,X1: agent1,X2: msg,X3: agent1,X4: list(event),X5: msg,X6: nat,X7: agent1,X8: msg,X9: agent1] :
      ( ( ( X0 = X5 )
        & ( X1 = X7 )
        & ( X2 = X8 )
        & ( X3 = X9 ) )
      | ~ member(list(event),X4,nS_Sha254967238shared)
      | ~ member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
      | ~ member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4)) ),
    inference(flattening,[],[f250]) ).

tff(f250,plain,
    ! [X0: msg,X1: agent1,X2: msg,X3: agent1,X4: list(event),X5: msg,X6: nat,X7: agent1,X8: msg,X9: agent1] :
      ( ( ( X0 = X5 )
        & ( X1 = X7 )
        & ( X2 = X8 )
        & ( X3 = X9 ) )
      | ~ member(list(event),X4,nS_Sha254967238shared)
      | ~ member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
      | ~ member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4)) ),
    inference(ennf_transformation,[],[f181]) ).

tff(f181,plain,
    ! [X0: msg,X1: agent1,X2: msg,X3: agent1,X4: list(event),X5: msg,X6: nat,X7: agent1,X8: msg,X9: agent1] :
      ( member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4))
     => ( member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
       => ( member(list(event),X4,nS_Sha254967238shared)
         => ( ( X0 = X5 )
            & ( X1 = X7 )
            & ( X2 = X8 )
            & ( X3 = X9 ) ) ) ) ),
    inference(rectify,[],[f89]) ).

tff(f89,axiom,
    ! [X56: msg,X45: agent1,X57: msg,X58: agent1,X3: list(event),X4: msg,X5: nat,X6: agent1,X10: msg,X2: agent1] :
      ( member(event,says(server,X2,crypt(shrK(X2),mPair(X10,mPair(agent(X6),mPair(key(X5),X4))))),set(event,X3))
     => ( member(event,says(server,X58,crypt(shrK(X58),mPair(X57,mPair(agent(X45),mPair(key(X5),X56))))),set(event,X3))
       => ( member(list(event),X3,nS_Sha254967238shared)
         => ( ( X4 = X56 )
            & ( X6 = X45 )
            & ( X10 = X57 )
            & ( X2 = X58 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_88_unique__session__keys) ).

tff(f653,plain,
    ( member(event,says(server,a,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x))))),set(event,evs5))
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f652,f312]) ).

tff(f312,plain,
    ~ member(agent1,a,bad),
    inference(cnf_transformation,[],[f103]) ).

tff(f103,axiom,
    ~ member(agent1,a,bad),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',conj_0) ).

tff(f652,plain,
    ( member(agent1,a,bad)
    | member(event,says(server,a,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x))))),set(event,evs5))
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f650,f314]) ).

tff(f650,plain,
    ( ~ member(list(event),evs5,nS_Sha254967238shared)
    | member(agent1,a,bad)
    | member(event,says(server,a,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x))))),set(event,evs5))
    | ~ spl7_1 ),
    inference(resolution,[],[f327,f468]) ).

tff(f468,plain,
    ( member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5)))
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f467]) ).

tff(f467,plain,
    ( spl7_1
  <=> member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

tff(f327,plain,
    ! [X2: nat,X3: agent1,X0: list(event),X1: msg,X4: msg,X5: agent1] :
      ( ~ member(msg,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1)))),parts(knows(spy,X0)))
      | ~ member(list(event),X0,nS_Sha254967238shared)
      | member(agent1,X5,bad)
      | member(event,says(server,X5,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1))))),set(event,X0)) ),
    inference(cnf_transformation,[],[f210]) ).

tff(f210,plain,
    ! [X0: list(event),X1: msg,X2: nat,X3: agent1,X4: msg,X5: agent1] :
      ( member(event,says(server,X5,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1))))),set(event,X0))
      | ~ member(list(event),X0,nS_Sha254967238shared)
      | member(agent1,X5,bad)
      | ~ member(msg,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1)))),parts(knows(spy,X0))) ),
    inference(flattening,[],[f209]) ).

tff(f209,plain,
    ! [X0: list(event),X1: msg,X2: nat,X3: agent1,X4: msg,X5: agent1] :
      ( member(event,says(server,X5,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1))))),set(event,X0))
      | ~ member(list(event),X0,nS_Sha254967238shared)
      | member(agent1,X5,bad)
      | ~ member(msg,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1)))),parts(knows(spy,X0))) ),
    inference(ennf_transformation,[],[f114]) ).

tff(f114,plain,
    ! [X0: list(event),X1: msg,X2: nat,X3: agent1,X4: msg,X5: agent1] :
      ( member(msg,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1)))),parts(knows(spy,X0)))
     => ( ~ member(agent1,X5,bad)
       => ( member(list(event),X0,nS_Sha254967238shared)
         => member(event,says(server,X5,crypt(shrK(X5),mPair(X4,mPair(agent(X3),mPair(key(X2),X1))))),set(event,X0)) ) ) ),
    inference(rectify,[],[f68]) ).

tff(f68,axiom,
    ! [X3: list(event),X4: msg,X5: nat,X6: agent1,X10: msg,X2: agent1] :
      ( member(msg,crypt(shrK(X2),mPair(X10,mPair(agent(X6),mPair(key(X5),X4)))),parts(knows(spy,X3)))
     => ( ~ member(agent1,X2,bad)
       => ( member(list(event),X3,nS_Sha254967238shared)
         => member(event,says(server,X2,crypt(shrK(X2),mPair(X10,mPair(agent(X6),mPair(key(X5),X4))))),set(event,X3)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_67_A__trusts__NS2) ).

tff(f1019,plain,
    ( member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))))),set(event,evs5))
    | ~ spl7_19 ),
    inference(avatar_component_clause,[],[f1017]) ).

tff(f1017,plain,
    ( spl7_19
  <=> member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))))),set(event,evs5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).

tff(f833,plain,
    ( ! [X2: agent1,X3: msg,X0: agent1,X1: msg] :
        ( ~ member(event,says(server,X0,crypt(shrK(X0),mPair(X1,mPair(agent(X2),mPair(key(k),X3))))),set(event,evs5))
        | ( a = X0 ) )
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f813,f314]) ).

tff(f813,plain,
    ( ! [X2: agent1,X3: msg,X0: agent1,X1: msg] :
        ( ~ member(list(event),evs5,nS_Sha254967238shared)
        | ( a = X0 )
        | ~ member(event,says(server,X0,crypt(shrK(X0),mPair(X1,mPair(agent(X2),mPair(key(k),X3))))),set(event,evs5)) )
    | ~ spl7_1 ),
    inference(resolution,[],[f653,f415]) ).

tff(f415,plain,
    ! [X2: msg,X3: agent1,X0: msg,X1: agent1,X8: msg,X6: nat,X9: agent1,X7: agent1,X4: list(event),X5: msg] :
      ( ~ member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
      | ~ member(list(event),X4,nS_Sha254967238shared)
      | ( X3 = X9 )
      | ~ member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4)) ),
    inference(cnf_transformation,[],[f251]) ).

tff(f1552,plain,
    ( spl7_5
    | ~ spl7_1
    | ~ spl7_19 ),
    inference(avatar_split_clause,[],[f1550,f1017,f467,f485]) ).

tff(f1550,plain,
    ( ( b = ba )
    | ~ spl7_1
    | ~ spl7_19 ),
    inference(resolution,[],[f831,f1346]) ).

tff(f831,plain,
    ( ! [X2: msg,X3: msg,X0: agent1,X1: agent1] :
        ( ~ member(event,says(server,X1,crypt(shrK(X1),mPair(X2,mPair(agent(X0),mPair(key(k),X3))))),set(event,evs5))
        | ( b = X0 ) )
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f811,f314]) ).

tff(f811,plain,
    ( ! [X2: msg,X3: msg,X0: agent1,X1: agent1] :
        ( ~ member(list(event),evs5,nS_Sha254967238shared)
        | ( b = X0 )
        | ~ member(event,says(server,X1,crypt(shrK(X1),mPair(X2,mPair(agent(X0),mPair(key(k),X3))))),set(event,evs5)) )
    | ~ spl7_1 ),
    inference(resolution,[],[f653,f417]) ).

tff(f417,plain,
    ! [X2: msg,X3: agent1,X0: msg,X1: agent1,X8: msg,X6: nat,X9: agent1,X7: agent1,X4: list(event),X5: msg] :
      ( ~ member(event,says(server,X3,crypt(shrK(X3),mPair(X2,mPair(agent(X1),mPair(key(X6),X0))))),set(event,X4))
      | ~ member(list(event),X4,nS_Sha254967238shared)
      | ( X1 = X7 )
      | ~ member(event,says(server,X9,crypt(shrK(X9),mPair(X8,mPair(agent(X7),mPair(key(X6),X5))))),set(event,X4)) ),
    inference(cnf_transformation,[],[f251]) ).

tff(f1117,plain,
    ~ spl7_6,
    inference(avatar_contradiction_clause,[],[f1116]) ).

tff(f1116,plain,
    ( $false
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f1115,f318]) ).

tff(f318,plain,
    ~ member(msg,key(k),analz(knows(spy,evs5))),
    inference(cnf_transformation,[],[f109]) ).

tff(f109,axiom,
    ~ member(msg,key(k),analz(knows(spy,evs5))),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',conj_6) ).

tff(f1115,plain,
    ( member(msg,key(k),analz(knows(spy,evs5)))
    | ~ spl7_6 ),
    inference(forward_demodulation,[],[f1106,f399]) ).

tff(f399,plain,
    ! [X0: fun(msg,bool)] : ( analz(X0) = analz(analz(X0)) ),
    inference(cnf_transformation,[],[f166]) ).

tff(f166,plain,
    ! [X0: fun(msg,bool)] : ( analz(X0) = analz(analz(X0)) ),
    inference(rectify,[],[f17]) ).

tff(f17,axiom,
    ! [X13: fun(msg,bool)] : ( analz(X13) = analz(analz(X13)) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_16_analz__idem) ).

tff(f1106,plain,
    ( member(msg,key(k),analz(analz(knows(spy,evs5))))
    | ~ spl7_6 ),
    inference(resolution,[],[f1066,f522]) ).

tff(f522,plain,
    ! [X2: msg,X0: msg,X1: fun(msg,bool)] :
      ( ~ member(msg,mPair(X0,X2),X1)
      | member(msg,X0,analz(X1)) ),
    inference(resolution,[],[f388,f400]) ).

tff(f400,plain,
    ! [X0: fun(msg,bool),X1: msg] :
      ( member(msg,X1,analz(X0))
      | ~ member(msg,X1,X0) ),
    inference(cnf_transformation,[],[f239]) ).

tff(f239,plain,
    ! [X0: fun(msg,bool),X1: msg] :
      ( member(msg,X1,analz(X0))
      | ~ member(msg,X1,X0) ),
    inference(ennf_transformation,[],[f167]) ).

tff(f167,plain,
    ! [X0: fun(msg,bool),X1: msg] :
      ( member(msg,X1,X0)
     => member(msg,X1,analz(X0)) ),
    inference(rectify,[],[f16]) ).

tff(f16,axiom,
    ! [X13: fun(msg,bool),X4: msg] :
      ( member(msg,X4,X13)
     => member(msg,X4,analz(X13)) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_15_analz_OInj) ).

tff(f388,plain,
    ! [X2: msg,X0: fun(msg,bool),X1: msg] :
      ( ~ member(msg,mPair(X2,X1),analz(X0))
      | member(msg,X2,analz(X0)) ),
    inference(cnf_transformation,[],[f235]) ).

tff(f235,plain,
    ! [X0: fun(msg,bool),X1: msg,X2: msg] :
      ( member(msg,X2,analz(X0))
      | ~ member(msg,mPair(X2,X1),analz(X0)) ),
    inference(ennf_transformation,[],[f160]) ).

tff(f160,plain,
    ! [X0: fun(msg,bool),X1: msg,X2: msg] :
      ( member(msg,mPair(X2,X1),analz(X0))
     => member(msg,X2,analz(X0)) ),
    inference(rectify,[],[f34]) ).

tff(f34,axiom,
    ! [X13: fun(msg,bool),X14: msg,X4: msg] :
      ( member(msg,mPair(X4,X14),analz(X13))
     => member(msg,X4,analz(X13)) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_33_analz_OFst) ).

tff(f1066,plain,
    ( member(msg,mPair(key(k),xa),analz(knows(spy,evs5)))
    | ~ spl7_6 ),
    inference(resolution,[],[f1039,f389]) ).

tff(f389,plain,
    ! [X2: msg,X0: fun(msg,bool),X1: msg] :
      ( ~ member(msg,mPair(X2,X1),analz(X0))
      | member(msg,X1,analz(X0)) ),
    inference(cnf_transformation,[],[f236]) ).

tff(f236,plain,
    ! [X0: fun(msg,bool),X1: msg,X2: msg] :
      ( member(msg,X1,analz(X0))
      | ~ member(msg,mPair(X2,X1),analz(X0)) ),
    inference(ennf_transformation,[],[f161]) ).

tff(f161,plain,
    ! [X0: fun(msg,bool),X1: msg,X2: msg] :
      ( member(msg,mPair(X2,X1),analz(X0))
     => member(msg,X1,analz(X0)) ),
    inference(rectify,[],[f33]) ).

tff(f33,axiom,
    ! [X13: fun(msg,bool),X14: msg,X4: msg] :
      ( member(msg,mPair(X4,X14),analz(X13))
     => member(msg,X14,analz(X13)) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_32_analz_OSnd) ).

tff(f1039,plain,
    ( member(msg,mPair(agent(ba),mPair(key(k),xa)),analz(knows(spy,evs5)))
    | ~ spl7_6 ),
    inference(resolution,[],[f708,f389]) ).

tff(f708,plain,
    ( member(msg,mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))),analz(knows(spy,evs5)))
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f706]) ).

tff(f706,plain,
    ( spl7_6
  <=> member(msg,mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))),analz(knows(spy,evs5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

tff(f1025,plain,
    ( spl7_19
    | spl7_7 ),
    inference(avatar_split_clause,[],[f726,f710,f1017]) ).

tff(f710,plain,
    ( spl7_7
  <=> member(agent1,aa,bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

tff(f726,plain,
    ( member(agent1,aa,bad)
    | member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))))),set(event,evs5)) ),
    inference(subsumption_resolution,[],[f722,f314]) ).

tff(f722,plain,
    ( ~ member(list(event),evs5,nS_Sha254967238shared)
    | member(agent1,aa,bad)
    | member(event,says(server,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))))),set(event,evs5)) ),
    inference(resolution,[],[f574,f327]) ).

tff(f574,plain,
    member(msg,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa)))),parts(knows(spy,evs5))),
    inference(resolution,[],[f413,f449]) ).

tff(f449,plain,
    member(event,says(s,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))))),set(event,evs5)),
    inference(definition_unfolding,[],[f317,f321]) ).

tff(f321,plain,
    ka = k,
    inference(cnf_transformation,[],[f206]) ).

tff(f206,plain,
    ( ~ member(event,says(a,b,crypt(ka,mPair(nonce(nBa),nonce(nBa)))),set(event,evs5))
    & ( ( b != ba )
      | ( a != aa ) )
    & ( nBa = nb )
    & ( ka = k )
    & member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5))) ),
    inference(ennf_transformation,[],[f112]) ).

tff(f112,negated_conjecture,
    ~ ( member(event,says(a,b,crypt(ka,mPair(nonce(nBa),nonce(nBa)))),set(event,evs5))
      | ( ( b = ba )
        & ( a = aa ) )
      | ( nBa != nb )
      | ( ka != k )
      | ~ member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5))) ),
    inference(negated_conjecture,[],[f111]) ).

tff(f111,conjecture,
    ( member(event,says(a,b,crypt(ka,mPair(nonce(nBa),nonce(nBa)))),set(event,evs5))
    | ( ( b = ba )
      & ( a = aa ) )
    | ( nBa != nb )
    | ( ka != k )
    | ~ member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5))) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',conj_8) ).

tff(f317,plain,
    member(event,says(s,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(ka),xa))))),set(event,evs5)),
    inference(cnf_transformation,[],[f108]) ).

tff(f108,axiom,
    member(event,says(s,aa,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(ka),xa))))),set(event,evs5)),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',conj_5) ).

tff(f413,plain,
    ! [X2: agent1,X3: agent1,X0: list(event),X1: msg] :
      ( ~ member(event,says(X3,X2,X1),set(event,X0))
      | member(msg,X1,parts(knows(spy,X0))) ),
    inference(cnf_transformation,[],[f248]) ).

tff(f248,plain,
    ! [X0: list(event),X1: msg,X2: agent1,X3: agent1] :
      ( member(msg,X1,parts(knows(spy,X0)))
      | ~ member(event,says(X3,X2,X1),set(event,X0)) ),
    inference(ennf_transformation,[],[f179]) ).

tff(f179,plain,
    ! [X0: list(event),X1: msg,X2: agent1,X3: agent1] :
      ( member(event,says(X3,X2,X1),set(event,X0))
     => member(msg,X1,parts(knows(spy,X0))) ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ! [X3: list(event),X4: msg,X6: agent1,X2: agent1] :
      ( member(event,says(X2,X6,X4),set(event,X3))
     => member(msg,X4,parts(knows(spy,X3))) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_10_Says__imp__parts__knows__Spy) ).

tff(f1021,plain,
    ( ~ spl7_7
    | spl7_6 ),
    inference(avatar_split_clause,[],[f792,f706,f710]) ).

tff(f792,plain,
    ( member(msg,mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa))),analz(knows(spy,evs5)))
    | ~ member(agent1,aa,bad) ),
    inference(resolution,[],[f640,f565]) ).

tff(f565,plain,
    member(msg,crypt(shrK(aa),mPair(nonce(nAa),mPair(agent(ba),mPair(key(k),xa)))),knows(spy,evs5)),
    inference(resolution,[],[f348,f449]) ).

tff(f348,plain,
    ! [X2: agent1,X3: agent1,X0: list(event),X1: msg] :
      ( ~ member(event,says(X3,X2,X1),set(event,X0))
      | member(msg,X1,knows(spy,X0)) ),
    inference(cnf_transformation,[],[f229]) ).

tff(f229,plain,
    ! [X0: list(event),X1: msg,X2: agent1,X3: agent1] :
      ( member(msg,X1,knows(spy,X0))
      | ~ member(event,says(X3,X2,X1),set(event,X0)) ),
    inference(ennf_transformation,[],[f128]) ).

tff(f128,plain,
    ! [X0: list(event),X1: msg,X2: agent1,X3: agent1] :
      ( member(event,says(X3,X2,X1),set(event,X0))
     => member(msg,X1,knows(spy,X0)) ),
    inference(rectify,[],[f64]) ).

tff(f64,axiom,
    ! [X3: list(event),X4: msg,X6: agent1,X2: agent1] :
      ( member(event,says(X2,X6,X4),set(event,X3))
     => member(msg,X4,knows(spy,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_63_Says__imp__spies) ).

tff(f640,plain,
    ! [X2: list(event),X0: agent1,X1: msg] :
      ( ~ member(msg,crypt(shrK(X0),X1),knows(spy,X2))
      | member(msg,X1,analz(knows(spy,X2)))
      | ~ member(agent1,X0,bad) ),
    inference(resolution,[],[f330,f400]) ).

tff(f330,plain,
    ! [X2: agent1,X0: list(event),X1: msg] :
      ( ~ member(msg,crypt(shrK(X2),X1),analz(knows(spy,X0)))
      | ~ member(agent1,X2,bad)
      | member(msg,X1,analz(knows(spy,X0))) ),
    inference(cnf_transformation,[],[f214]) ).

tff(f214,plain,
    ! [X0: list(event),X1: msg,X2: agent1] :
      ( member(msg,X1,analz(knows(spy,X0)))
      | ~ member(agent1,X2,bad)
      | ~ member(msg,crypt(shrK(X2),X1),analz(knows(spy,X0))) ),
    inference(flattening,[],[f213]) ).

tff(f213,plain,
    ! [X0: list(event),X1: msg,X2: agent1] :
      ( member(msg,X1,analz(knows(spy,X0)))
      | ~ member(agent1,X2,bad)
      | ~ member(msg,crypt(shrK(X2),X1),analz(knows(spy,X0))) ),
    inference(ennf_transformation,[],[f116]) ).

tff(f116,plain,
    ! [X0: list(event),X1: msg,X2: agent1] :
      ( member(msg,crypt(shrK(X2),X1),analz(knows(spy,X0)))
     => ( member(agent1,X2,bad)
       => member(msg,X1,analz(knows(spy,X0))) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X3: list(event),X4: msg,X2: agent1] :
      ( member(msg,crypt(shrK(X2),X4),analz(knows(spy,X3)))
     => ( member(agent1,X2,bad)
       => member(msg,X4,analz(knows(spy,X3))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1eQsjAXis/Vampire---4.8_2944',fact_7_Crypt__Spy__analz__bad) ).

tff(f489,plain,
    spl7_1,
    inference(avatar_split_clause,[],[f320,f467]) ).

tff(f320,plain,
    member(msg,crypt(shrK(a),mPair(nonce(na),mPair(agent(b),mPair(key(k),x)))),parts(knows(spy,evs5))),
    inference(cnf_transformation,[],[f206]) ).

tff(f488,plain,
    ( ~ spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f323,f485,f481]) ).

tff(f323,plain,
    ( ( b != ba )
    | ( a != aa ) ),
    inference(cnf_transformation,[],[f206]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV803_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:56:49 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF1_THM_EQU_NAR problem
% 0.14/0.36  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.e1eQsjAXis/Vampire---4.8_2944
% 0.62/0.77  % (3200)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)
% 0.62/0.77  % (3194)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)
% 0.62/0.77  % (3196)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.77  % (3197)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)
% 0.62/0.77  % (3198)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)
% 0.62/0.77  % (3199)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)
% 0.62/0.77  % (3195)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)
% 0.62/0.77  % (3200)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.77  % (3201)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)
% 0.62/0.77  % (3200)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.78  % (3199)Refutation not found, incomplete strategy% (3199)------------------------------
% 0.62/0.78  % (3199)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (3199)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (3199)Memory used [KB]: 1336
% 0.62/0.78  % (3199)Time elapsed: 0.013 s
% 0.62/0.78  % (3199)Instructions burned: 22 (million)
% 0.62/0.78  % (3199)------------------------------
% 0.62/0.78  % (3199)------------------------------
% 0.62/0.78  % (3202)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 (2995ds/55Mi)
% 0.62/0.78  % (3194)Instruction limit reached!
% 0.62/0.78  % (3194)------------------------------
% 0.62/0.78  % (3194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (3194)Termination reason: Unknown
% 0.62/0.78  % (3194)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (3194)Memory used [KB]: 1371
% 0.62/0.78  % (3194)Time elapsed: 0.020 s
% 0.62/0.78  % (3194)Instructions burned: 35 (million)
% 0.62/0.78  % (3194)------------------------------
% 0.62/0.78  % (3194)------------------------------
% 0.62/0.78  % (3197)Instruction limit reached!
% 0.62/0.78  % (3197)------------------------------
% 0.62/0.78  % (3197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (3197)Termination reason: Unknown
% 0.62/0.78  % (3197)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (3197)Memory used [KB]: 1588
% 0.62/0.78  % (3197)Time elapsed: 0.020 s
% 0.62/0.78  % (3197)Instructions burned: 33 (million)
% 0.62/0.78  % (3197)------------------------------
% 0.62/0.78  % (3197)------------------------------
% 0.62/0.78  % (3198)Instruction limit reached!
% 0.62/0.78  % (3198)------------------------------
% 0.62/0.78  % (3198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (3198)Termination reason: Unknown
% 0.62/0.78  % (3198)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (3198)Memory used [KB]: 1577
% 0.62/0.78  % (3198)Time elapsed: 0.020 s
% 0.62/0.78  % (3198)Instructions burned: 35 (million)
% 0.62/0.78  % (3198)------------------------------
% 0.62/0.78  % (3198)------------------------------
% 0.62/0.79  % (3203)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.79  % (3204)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.79  % (3205)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.79  % (3200)Instruction limit reached!
% 0.62/0.79  % (3200)------------------------------
% 0.62/0.79  % (3200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (3200)Termination reason: Unknown
% 0.62/0.79  % (3200)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (3200)Memory used [KB]: 2070
% 0.62/0.79  % (3200)Time elapsed: 0.028 s
% 0.62/0.79  % (3200)Instructions burned: 84 (million)
% 0.62/0.79  % (3200)------------------------------
% 0.62/0.79  % (3200)------------------------------
% 0.62/0.79  % (3195)Instruction limit reached!
% 0.62/0.79  % (3195)------------------------------
% 0.62/0.79  % (3195)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (3195)Termination reason: Unknown
% 0.62/0.79  % (3195)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (3195)Memory used [KB]: 1631
% 0.62/0.79  % (3195)Time elapsed: 0.029 s
% 0.62/0.79  % (3195)Instructions burned: 52 (million)
% 0.62/0.79  % (3195)------------------------------
% 0.62/0.79  % (3195)------------------------------
% 0.62/0.79  % (3206)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.80  % (3207)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.80  % (3201)Instruction limit reached!
% 0.62/0.80  % (3201)------------------------------
% 0.62/0.80  % (3201)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (3201)Termination reason: Unknown
% 0.62/0.80  % (3201)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (3201)Memory used [KB]: 1598
% 0.62/0.80  % (3201)Time elapsed: 0.033 s
% 0.62/0.80  % (3201)Instructions burned: 56 (million)
% 0.62/0.80  % (3201)------------------------------
% 0.62/0.80  % (3201)------------------------------
% 0.62/0.80  % (3208)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.80  % (3206)Refutation not found, incomplete strategy% (3206)------------------------------
% 0.62/0.80  % (3206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (3206)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (3206)Memory used [KB]: 1417
% 0.62/0.80  % (3206)Time elapsed: 0.009 s
% 0.62/0.80  % (3206)Instructions burned: 28 (million)
% 0.62/0.80  % (3206)------------------------------
% 0.62/0.80  % (3206)------------------------------
% 0.62/0.81  % (3208)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.81  % (3209)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.81  % (3209)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.62/0.81  % (3196)Instruction limit reached!
% 0.62/0.81  % (3196)------------------------------
% 0.62/0.81  % (3196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (3196)Termination reason: Unknown
% 0.62/0.81  % (3196)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (3196)Memory used [KB]: 2067
% 0.62/0.81  % (3196)Time elapsed: 0.045 s
% 0.62/0.81  % (3196)Instructions burned: 78 (million)
% 0.62/0.81  % (3196)------------------------------
% 0.62/0.81  % (3196)------------------------------
% 0.85/0.81  % (3202)Instruction limit reached!
% 0.85/0.81  % (3202)------------------------------
% 0.85/0.81  % (3202)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.81  % (3202)Termination reason: Unknown
% 0.85/0.81  % (3202)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (3202)Memory used [KB]: 1858
% 0.85/0.81  % (3202)Time elapsed: 0.030 s
% 0.85/0.81  % (3202)Instructions burned: 55 (million)
% 0.85/0.81  % (3202)------------------------------
% 0.85/0.81  % (3202)------------------------------
% 0.85/0.81  % (3210)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.85/0.81  % (3203)Instruction limit reached!
% 0.85/0.81  % (3203)------------------------------
% 0.85/0.81  % (3203)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.81  % (3203)Termination reason: Unknown
% 0.85/0.81  % (3203)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (3203)Memory used [KB]: 1690
% 0.85/0.81  % (3203)Time elapsed: 0.027 s
% 0.85/0.81  % (3203)Instructions burned: 50 (million)
% 0.85/0.81  % (3203)------------------------------
% 0.85/0.81  % (3203)------------------------------
% 0.85/0.82  % (3210)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.85/0.82  % (3211)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.85/0.82  % (3211)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.85/0.82  % (3205)Instruction limit reached!
% 0.85/0.82  % (3205)------------------------------
% 0.85/0.82  % (3205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.82  % (3205)Termination reason: Unknown
% 0.85/0.82  % (3205)Termination phase: Saturation
% 0.85/0.82  
% 0.85/0.82  % (3205)Memory used [KB]: 2033
% 0.85/0.82  % (3205)Time elapsed: 0.031 s
% 0.85/0.82  % (3205)Instructions burned: 53 (million)
% 0.85/0.82  % (3205)------------------------------
% 0.85/0.82  % (3205)------------------------------
% 0.85/0.82  % (3212)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.85/0.82  % (3212)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.85/0.82  % (3207)Instruction limit reached!
% 0.85/0.82  % (3207)------------------------------
% 0.85/0.82  % (3207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.82  % (3207)Termination reason: Unknown
% 0.85/0.82  % (3207)Termination phase: Saturation
% 0.85/0.82  
% 0.85/0.82  % (3207)Memory used [KB]: 1669
% 0.85/0.82  % (3207)Time elapsed: 0.025 s
% 0.85/0.82  % (3207)Instructions burned: 42 (million)
% 0.85/0.82  % (3207)------------------------------
% 0.85/0.82  % (3207)------------------------------
% 0.85/0.82  % (3213)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.85/0.83  % (3214)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.85/0.83  % (3213)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.85/0.84  % (3213)Instruction limit reached!
% 0.85/0.84  % (3213)------------------------------
% 0.85/0.84  % (3213)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.84  % (3213)Termination reason: Unknown
% 0.85/0.84  % (3213)Termination phase: Saturation
% 0.85/0.84  
% 0.85/0.84  % (3213)Memory used [KB]: 1485
% 0.85/0.84  % (3213)Time elapsed: 0.018 s
% 0.85/0.84  % (3213)Instructions burned: 32 (million)
% 0.85/0.84  % (3213)------------------------------
% 0.85/0.84  % (3213)------------------------------
% 0.85/0.84  % (3209)Instruction limit reached!
% 0.85/0.84  % (3209)------------------------------
% 0.85/0.84  % (3209)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.84  % (3209)Termination reason: Unknown
% 0.85/0.84  % (3209)Termination phase: Saturation
% 0.85/0.84  
% 0.85/0.84  % (3209)Memory used [KB]: 2195
% 0.85/0.84  % (3209)Time elapsed: 0.036 s
% 0.85/0.84  % (3209)Instructions burned: 118 (million)
% 0.85/0.84  % (3209)------------------------------
% 0.85/0.84  % (3209)------------------------------
% 0.85/0.84  % (3216)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.85/0.84  % (3215)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 1.03/0.84  % (3216)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.85  % (3215)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.85  % (3212)Instruction limit reached!
% 1.03/0.85  % (3212)------------------------------
% 1.03/0.85  % (3212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.85  % (3212)Termination reason: Unknown
% 1.03/0.85  % (3212)Termination phase: Saturation
% 1.03/0.85  
% 1.03/0.85  % (3212)Memory used [KB]: 1905
% 1.03/0.85  % (3212)Time elapsed: 0.035 s
% 1.03/0.85  % (3212)Instructions burned: 63 (million)
% 1.03/0.85  % (3212)------------------------------
% 1.03/0.85  % (3212)------------------------------
% 1.03/0.86  % (3225)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 1.03/0.86  % (3216)Instruction limit reached!
% 1.03/0.86  % (3216)------------------------------
% 1.03/0.86  % (3216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.86  % (3216)Termination reason: Unknown
% 1.03/0.86  % (3216)Termination phase: Saturation
% 1.03/0.86  
% 1.03/0.86  % (3216)Memory used [KB]: 1615
% 1.03/0.86  % (3216)Time elapsed: 0.021 s
% 1.03/0.86  % (3216)Instructions burned: 53 (million)
% 1.03/0.86  % (3216)------------------------------
% 1.03/0.86  % (3216)------------------------------
% 1.03/0.86  % (3225)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.86  % (3211)Instruction limit reached!
% 1.03/0.86  % (3211)------------------------------
% 1.03/0.86  % (3211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.86  % (3211)Termination reason: Unknown
% 1.03/0.86  % (3211)Termination phase: Saturation
% 1.03/0.86  
% 1.03/0.86  % (3211)Memory used [KB]: 1760
% 1.03/0.86  % (3211)Time elapsed: 0.050 s
% 1.03/0.86  % (3211)Instructions burned: 93 (million)
% 1.03/0.86  % (3211)------------------------------
% 1.03/0.86  % (3211)------------------------------
% 1.03/0.87  % (3229)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 1.03/0.87  % (3230)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 1.03/0.88  % (3215)Instruction limit reached!
% 1.03/0.88  % (3215)------------------------------
% 1.03/0.88  % (3215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.88  % (3215)Termination reason: Unknown
% 1.03/0.88  % (3215)Termination phase: Saturation
% 1.03/0.88  
% 1.03/0.88  % (3215)Memory used [KB]: 1863
% 1.03/0.88  % (3215)Time elapsed: 0.034 s
% 1.03/0.88  % (3215)Instructions burned: 55 (million)
% 1.03/0.88  % (3215)------------------------------
% 1.03/0.88  % (3215)------------------------------
% 1.03/0.88  % (3231)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 1.03/0.88  % (3231)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.88  % (3225)Instruction limit reached!
% 1.03/0.88  % (3225)------------------------------
% 1.03/0.88  % (3225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.88  % (3225)Termination reason: Unknown
% 1.03/0.88  % (3225)Termination phase: Saturation
% 1.03/0.88  
% 1.03/0.88  % (3225)Memory used [KB]: 1640
% 1.03/0.88  % (3225)Time elapsed: 0.027 s
% 1.03/0.88  % (3225)Instructions burned: 47 (million)
% 1.03/0.88  % (3225)------------------------------
% 1.03/0.88  % (3225)------------------------------
% 1.03/0.89  % (3230)Instruction limit reached!
% 1.03/0.89  % (3230)------------------------------
% 1.03/0.89  % (3230)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.89  % (3230)Termination reason: Unknown
% 1.03/0.89  % (3230)Termination phase: Saturation
% 1.03/0.89  
% 1.03/0.89  % (3230)Memory used [KB]: 1584
% 1.03/0.89  % (3230)Time elapsed: 0.020 s
% 1.03/0.89  % (3230)Instructions burned: 35 (million)
% 1.03/0.89  % (3230)------------------------------
% 1.03/0.89  % (3230)------------------------------
% 1.03/0.89  % (3232)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.03/0.89  % (3233)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.03/0.89  % (3229)Instruction limit reached!
% 1.03/0.89  % (3229)------------------------------
% 1.03/0.89  % (3229)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.89  % (3229)Termination reason: Unknown
% 1.03/0.89  % (3229)Termination phase: Saturation
% 1.03/0.89  
% 1.03/0.89  % (3229)Memory used [KB]: 1909
% 1.03/0.89  % (3229)Time elapsed: 0.028 s
% 1.03/0.89  % (3229)Instructions burned: 102 (million)
% 1.03/0.89  % (3229)------------------------------
% 1.03/0.89  % (3229)------------------------------
% 1.03/0.89  % (3210)Instruction limit reached!
% 1.03/0.89  % (3210)------------------------------
% 1.03/0.89  % (3210)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.89  % (3210)Termination reason: Unknown
% 1.03/0.89  % (3210)Termination phase: Saturation
% 1.03/0.89  
% 1.03/0.89  % (3210)Memory used [KB]: 2193
% 1.03/0.89  % (3210)Time elapsed: 0.081 s
% 1.03/0.89  % (3210)Instructions burned: 143 (million)
% 1.03/0.89  % (3210)------------------------------
% 1.03/0.89  % (3210)------------------------------
% 1.03/0.89  % (3214)First to succeed.
% 1.03/0.89  % (3234)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.03/0.90  % (3234)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.03/0.90  % (3214)Refutation found. Thanks to Tanya!
% 1.03/0.90  % SZS status Theorem for Vampire---4
% 1.03/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 1.03/0.90  % (3214)------------------------------
% 1.03/0.90  % (3214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.03/0.90  % (3214)Termination reason: Refutation
% 1.03/0.90  
% 1.03/0.90  % (3214)Memory used [KB]: 1795
% 1.03/0.90  % (3214)Time elapsed: 0.072 s
% 1.03/0.90  % (3214)Instructions burned: 126 (million)
% 1.03/0.90  % (3214)------------------------------
% 1.03/0.90  % (3214)------------------------------
% 1.03/0.90  % (3189)Success in time 0.518 s
% 1.03/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------