TSTP Solution File: NUM622+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM622+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 : n016.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 : Fri Sep  1 20:21:23 EDT 2023

% Result   : Theorem 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   40 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   34 (  11   ~;   6   |;  14   &)
%                                         (   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    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1386,plain,
    $false,
    inference(resolution,[],[f1385,f725]) ).

fof(f725,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,axiom,
    ( xp = sdtlpdtrp0(xe,xn)
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
    & aElementOf0(xn,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox2/tmp/tmp.75z9KyeDom/Vampire---4.8_7902',m__5309) ).

fof(f1385,plain,
    ~ aElementOf0(xn,szNzAzT0),
    inference(resolution,[],[f1381,f1299]) ).

fof(f1299,plain,
    ( aElementOf0(xp,sdtlpdtrp0(xN,xn))
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(superposition,[],[f597,f726]) ).

fof(f726,plain,
    xp = sdtlpdtrp0(xe,xn),
    inference(cnf_transformation,[],[f111]) ).

fof(f597,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,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.75z9KyeDom/Vampire---4.8_7902',m__4660) ).

fof(f1381,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference(resolution,[],[f754,f583]) ).

fof(f583,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(flattening,[],[f120]) ).

fof(f120,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(negated_conjecture,[],[f119]) ).

fof(f119,conjecture,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox2/tmp/tmp.75z9KyeDom/Vampire---4.8_7902',m__) ).

fof(f754,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
       => aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.75z9KyeDom/Vampire---4.8_7902',m__5461) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM622+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n016.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   : Wed Aug 30 15:34:17 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.42  % (8008)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (8012)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.43  % (8014)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.20/0.43  % (8010)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.43  % (8013)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.20/0.43  % (8011)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.43  % (8015)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.43  % (8009)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.46  % (8014)First to succeed.
% 0.20/0.46  % (8014)Refutation found. Thanks to Tanya!
% 0.20/0.46  % SZS status Theorem for Vampire---4
% 0.20/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.46  % (8014)------------------------------
% 0.20/0.46  % (8014)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.46  % (8014)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.46  % (8014)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (8014)Memory used [KB]: 2302
% 0.20/0.46  % (8014)Time elapsed: 0.029 s
% 0.20/0.46  % (8014)------------------------------
% 0.20/0.46  % (8014)------------------------------
% 0.20/0.46  % (8008)Success in time 0.101 s
% 0.20/0.46  8011 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.75z9KyeDom/Vampire---4.8_7902
% 0.20/0.46  % (8011)------------------------------
% 0.20/0.46  % (8011)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.46  % (8011)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.46  % (8011)Termination reason: Unknown
% 0.20/0.46  % (8011)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (8011)Memory used [KB]: 6012
% 0.20/0.46  % (8011)Time elapsed: 0.032 s
% 0.20/0.46  % (8011)------------------------------
% 0.20/0.46  % (8011)------------------------------
% 0.20/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------