TSTP Solution File: NUM615+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 08:13:29 EDT 2024

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   43 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  16   ~;   9   |;  12   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (  12   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1217,plain,
    $false,
    inference(subsumption_resolution,[],[f1216,f368]) ).

fof(f368,plain,
    aElementOf0(xp,xO),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,axiom,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox2/tmp/tmp.4Re8ETCznw/Vampire---4.8_20103',m__5182) ).

fof(f1216,plain,
    ~ aElementOf0(xp,xO),
    inference(resolution,[],[f972,f356]) ).

fof(f356,plain,
    ! [X0] :
      ( aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,sK9(X0)) = X0
        & aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK9(X0),szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f143,f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
     => ( sdtlpdtrp0(xe,sK9(X0)) = X0
        & aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK9(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Re8ETCznw/Vampire---4.8_20103',m__4982) ).

fof(f972,plain,
    ~ aElementOf0(sK9(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(subsumption_resolution,[],[f964,f368]) ).

fof(f964,plain,
    ( ~ aElementOf0(sK9(xp),sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aElementOf0(xp,xO) ),
    inference(resolution,[],[f543,f538]) ).

fof(f538,plain,
    ! [X0] :
      ( sQ25_eqProxy(sdtlpdtrp0(xe,sK9(X0)),X0)
      | ~ aElementOf0(X0,xO) ),
    inference(equality_proxy_replacement,[],[f357,f516]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( sQ25_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ25_eqProxy])]) ).

fof(f357,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK9(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ sQ25_eqProxy(sdtlpdtrp0(xe,X0),xp)
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(equality_proxy_replacement,[],[f373,f516]) ).

fof(f373,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xp
        & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(negated_conjecture,[],[f111]) ).

fof(f111,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xp
      & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox2/tmp/tmp.4Re8ETCznw/Vampire---4.8_20103',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n006.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   : Fri May  3 14:31:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.4Re8ETCznw/Vampire---4.8_20103
% 0.55/0.76  % (20274)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)
% 0.55/0.76  % (20275)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)
% 0.55/0.76  % (20270)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (20269)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)
% 0.55/0.76  % (20271)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)
% 0.55/0.76  % (20273)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)
% 0.55/0.76  % (20268)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)
% 0.55/0.76  % (20272)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)
% 0.55/0.77  % (20275)First to succeed.
% 0.55/0.77  % (20268)Also succeeded, but the first one will report.
% 0.55/0.77  % (20275)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20243"
% 0.55/0.77  % (20270)Also succeeded, but the first one will report.
% 0.55/0.78  % (20275)Refutation found. Thanks to Tanya!
% 0.55/0.78  % SZS status Theorem for Vampire---4
% 0.55/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.78  % (20275)------------------------------
% 0.55/0.78  % (20275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (20275)Termination reason: Refutation
% 0.55/0.78  
% 0.55/0.78  % (20275)Memory used [KB]: 1537
% 0.55/0.78  % (20275)Time elapsed: 0.011 s
% 0.55/0.78  % (20275)Instructions burned: 34 (million)
% 0.55/0.78  % (20243)Success in time 0.42 s
% 0.55/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------