TSTP Solution File: NUM604+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n008.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 : Thu Aug 31 12:13:08 EDT 2023

% Result   : Theorem 0.23s 0.48s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   37 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   29 (   9   ~;   6   |;  11   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1237,plain,
    $false,
    inference(subsumption_resolution,[],[f1236,f542]) ).

fof(f542,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ~ aElementOf0(xx,xS),
    inference(flattening,[],[f102]) ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[],[f101]) ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/tmp/tmp.7IqOu1p9zo/Vampire---4.8_10535',m__) ).

fof(f1236,plain,
    aElementOf0(xx,xS),
    inference(forward_demodulation,[],[f1235,f652]) ).

fof(f652,plain,
    xx = sdtlpdtrp0(xe,xi),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( xx = sdtlpdtrp0(xe,xi)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.7IqOu1p9zo/Vampire---4.8_10535',m__5034) ).

fof(f1235,plain,
    aElementOf0(sdtlpdtrp0(xe,xi),xS),
    inference(subsumption_resolution,[],[f1229,f651]) ).

fof(f651,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f99]) ).

fof(f1229,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
    inference(resolution,[],[f548,f666]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7IqOu1p9zo/Vampire---4.8_10535',m__5045) ).

fof(f548,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ! [X0] :
        ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
              | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox2/tmp/tmp.7IqOu1p9zo/Vampire---4.8_10535',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38  % Computer : n008.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Fri Aug 25 13:36:47 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.7IqOu1p9zo/Vampire---4.8_10535
% 0.16/0.39  % (10713)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (10719)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.45  % (10718)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.45  % (10714)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.45  % (10715)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.45  % (10716)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.45  % (10720)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.45  % (10717)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.48  % (10717)First to succeed.
% 0.23/0.48  % (10717)Refutation found. Thanks to Tanya!
% 0.23/0.48  % SZS status Theorem for Vampire---4
% 0.23/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48  % (10717)------------------------------
% 0.23/0.48  % (10717)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48  % (10717)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48  % (10717)Termination reason: Refutation
% 0.23/0.48  
% 0.23/0.48  % (10717)Memory used [KB]: 6396
% 0.23/0.48  % (10717)Time elapsed: 0.026 s
% 0.23/0.48  % (10717)------------------------------
% 0.23/0.48  % (10717)------------------------------
% 0.23/0.48  % (10713)Success in time 0.094 s
% 0.23/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------