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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 : n010.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 20:21:10 EDT 2023

% Result   : Theorem 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   38 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   32 (  11   ~;   7   |;  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(f1131,plain,
    $false,
    inference(resolution,[],[f1129,f651]) ).

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

fof(f99,axiom,
    ( xx = sdtlpdtrp0(xe,xi)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.kfJfFIwfZ5/Vampire---4.8_11363',m__5034) ).

fof(f1129,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f1128,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.kfJfFIwfZ5/Vampire---4.8_11363',m__) ).

fof(f1128,plain,
    ( aElementOf0(xx,xS)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(forward_demodulation,[],[f1123,f652]) ).

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

fof(f1123,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.kfJfFIwfZ5/Vampire---4.8_11363',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.kfJfFIwfZ5/Vampire---4.8_11363',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15  % Problem    : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.37  % Computer : n010.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Wed Aug 30 14:59:03 EDT 2023
% 0.13/0.37  % CPUTime    : 
% 0.19/0.43  % (11470)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.44  % (11471)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.44  % (11477)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)
% 0.19/0.44  % (11473)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)
% 0.19/0.44  % (11474)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.44  % (11476)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)
% 0.19/0.44  % (11472)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.44  % (11475)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)
% 0.19/0.46  % (11476)First to succeed.
% 0.19/0.46  % (11476)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Theorem for Vampire---4
% 0.19/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.46  % (11476)------------------------------
% 0.19/0.46  % (11476)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46  % (11476)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46  % (11476)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (11476)Memory used [KB]: 2046
% 0.19/0.46  % (11476)Time elapsed: 0.023 s
% 0.19/0.46  % (11476)------------------------------
% 0.19/0.46  % (11476)------------------------------
% 0.19/0.46  % (11470)Success in time 0.086 s
% 0.19/0.46  11473 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.kfJfFIwfZ5/Vampire---4.8_11363
% 0.19/0.46  % (11473)------------------------------
% 0.19/0.46  % (11473)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46  % (11473)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46  % (11473)Termination reason: Unknown
% 0.19/0.46  % (11473)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (11473)Memory used [KB]: 6012
% 0.19/0.46  % (11473)Time elapsed: 0.025 s
% 0.19/0.46  % (11473)------------------------------
% 0.19/0.46  % (11473)------------------------------
% 0.19/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------