TSTP Solution File: NUM548+3 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM548+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 : n031.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 : Tue Apr 30 14:33:19 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   40 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  15   ~;   9   |;   9   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f431,plain,
    $false,
    inference(resolution,[],[f426,f237]) ).

fof(f237,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).

fof(f426,plain,
    ~ aElementOf0(xk,szNzAzT0),
    inference(resolution,[],[f425,f238]) ).

fof(f238,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).

fof(f425,plain,
    ( ~ aSet0(xQ)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(forward_demodulation,[],[f422,f241]) ).

fof(f241,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f77]) ).

fof(f422,plain,
    ( ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0)
    | ~ aSet0(xQ) ),
    inference(resolution,[],[f286,f235]) ).

fof(f235,plain,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ~ isFinite0(xQ),
    inference(flattening,[],[f67]) ).

fof(f67,negated_conjecture,
    ~ isFinite0(xQ),
    inference(negated_conjecture,[],[f66]) ).

fof(f66,conjecture,
    isFinite0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f286,plain,
    ! [X0] :
      ( isFinite0(X0)
      | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) )
        & ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM548+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
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 00:22:28 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (5516)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (5520)WARNING: value z3 for option sas not known
% 0.15/0.37  % (5518)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  % (5519)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (5521)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (5520)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)
% 0.15/0.37  % (5522)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)
% 0.15/0.37  % (5523)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)
% 0.15/0.37  % (5524)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)
% 0.21/0.38  % (5523)First to succeed.
% 0.21/0.38  % (5520)Also succeeded, but the first one will report.
% 0.21/0.38  % (5523)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (5523)------------------------------
% 0.21/0.38  % (5523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38  % (5523)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (5523)Memory used [KB]: 1017
% 0.21/0.38  % (5523)Time elapsed: 0.010 s
% 0.21/0.38  % (5523)Instructions burned: 14 (million)
% 0.21/0.38  % (5523)------------------------------
% 0.21/0.38  % (5523)------------------------------
% 0.21/0.38  % (5516)Success in time 0.017 s
%------------------------------------------------------------------------------