TSTP Solution File: NUM618+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM618+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 : n013.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 03:32:31 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   44 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   41 (  16   ~;   9   |;  13   &)
%                                         (   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(f1035,plain,
    $false,
    inference(subsumption_resolution,[],[f1034,f383]) ).

fof(f383,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,axiom,
    ( aElementOf0(xx,xO)
    & aElementOf0(xx,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5elCIY5NXM/Vampire---4.8_14807',m__5365) ).

fof(f1034,plain,
    ~ aElementOf0(xx,xO),
    inference(resolution,[],[f1028,f359]) ).

fof(f359,plain,
    ! [X0] :
      ( aElementOf0(sK9(X0),szNzAzT0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f251,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])],[f147,f250]) ).

fof(f250,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(f147,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.5elCIY5NXM/Vampire---4.8_14807',m__4982) ).

fof(f1028,plain,
    ~ aElementOf0(sK9(xx),szNzAzT0),
    inference(subsumption_resolution,[],[f1027,f383]) ).

fof(f1027,plain,
    ( ~ aElementOf0(xx,xO)
    | ~ aElementOf0(sK9(xx),szNzAzT0) ),
    inference(resolution,[],[f549,f556]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ sQ25_eqProxy(sdtlpdtrp0(xe,X0),xx)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(equality_proxy_replacement,[],[f384,f527]) ).

fof(f527,plain,
    ! [X0,X1] :
      ( sQ25_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ25_eqProxy])]) ).

fof(f384,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xx
        & aElementOf0(X0,szNzAzT0) ),
    inference(negated_conjecture,[],[f115]) ).

fof(f115,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xx
      & aElementOf0(X0,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5elCIY5NXM/Vampire---4.8_14807',m__) ).

fof(f549,plain,
    ! [X0] :
      ( sQ25_eqProxy(sdtlpdtrp0(xe,sK9(X0)),X0)
      | ~ aElementOf0(X0,xO) ),
    inference(equality_proxy_replacement,[],[f361,f527]) ).

fof(f361,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK9(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f251]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n013.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 16:48:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.5elCIY5NXM/Vampire---4.8_14807
% 0.55/0.74  % (15028)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)
% 0.55/0.74  % (15029)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)
% 0.55/0.75  % (15022)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)
% 0.55/0.75  % (15024)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (15023)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)
% 0.55/0.75  % (15025)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)
% 0.55/0.75  % (15026)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)
% 0.55/0.75  % (15027)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)
% 0.55/0.75  % (15029)First to succeed.
% 0.55/0.75  % (15029)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (15029)------------------------------
% 0.55/0.75  % (15029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (15029)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (15029)Memory used [KB]: 1425
% 0.55/0.75  % (15029)Time elapsed: 0.009 s
% 0.55/0.75  % (15029)Instructions burned: 22 (million)
% 0.55/0.75  % (15029)------------------------------
% 0.55/0.75  % (15029)------------------------------
% 0.55/0.75  % (15009)Success in time 0.379 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------