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 --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 08:39:31 EDT 2024

% Result   : Theorem 0.20s 0.41s
% Output   : Refutation 0.20s
% 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(f1181,plain,
    $false,
    inference(resolution,[],[f1179,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/benchmark/theBenchmark.p',m__5034) ).

fof(f1179,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f1178,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/benchmark/theBenchmark.p',m__) ).

fof(f1178,plain,
    ( aElementOf0(xx,xS)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(forward_demodulation,[],[f1173,f652]) ).

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

fof(f1173,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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',m__4660) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:53:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (13015)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (13018)WARNING: value z3 for option sas not known
% 0.14/0.38  % (13016)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (13019)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (13018)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 theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (13017)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (13021)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 theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (13020)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 theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (13022)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 theBenchmark for (497ds/0Mi)
% 0.20/0.40  % (13021)First to succeed.
% 0.20/0.41  % (13021)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13015"
% 0.20/0.41  % (13021)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Theorem for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (13021)------------------------------
% 0.20/0.41  % (13021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41  % (13021)Termination reason: Refutation
% 0.20/0.41  
% 0.20/0.41  % (13021)Memory used [KB]: 1725
% 0.20/0.41  % (13021)Time elapsed: 0.029 s
% 0.20/0.41  % (13021)Instructions burned: 49 (million)
% 0.20/0.41  % (13015)Success in time 0.042 s
%------------------------------------------------------------------------------