%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM564+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 : Wed Aug 31 18:05:50 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   53 (  20   ~;   6   |;  20   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   7   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f600,plain,
    $false,
    inference(resolution,[],[f480,f477]) ).

fof(f477,plain,
    aElementOf0(sK27,slcrc0),
    inference(cnf_transformation,[],[f301]) ).

fof(f301,plain,
    ( ! [X0] : ~ aElementOf0(X0,slcrc0)
    & ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & aSet0(slcrc0)
    & aElementOf0(sK27,slcrc0)
    & ~ aElementOf0(sK27,xS)
    & ~ aSubsetOf0(slcrc0,xS) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f106,f300]) ).

fof(f300,plain,
    ( ? [X1] :
        ( aElementOf0(X1,slcrc0)
        & ~ aElementOf0(X1,xS) )
   => ( aElementOf0(sK27,slcrc0)
      & ~ aElementOf0(sK27,xS) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ( ! [X0] : ~ aElementOf0(X0,slcrc0)
    & ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & aSet0(slcrc0)
    & ? [X1] :
        ( aElementOf0(X1,slcrc0)
        & ~ aElementOf0(X1,xS) )
    & ~ aSubsetOf0(slcrc0,xS) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ( ? [X1] :
        ( aElementOf0(X1,slcrc0)
        & ~ aElementOf0(X1,xS) )
    & ~ aSubsetOf0(slcrc0,xS)
    & ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
    & ! [X0] : ~ aElementOf0(X0,slcrc0)
    & aSet0(slcrc0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
        & aSet0(slcrc0) )
     => ( ! [X1] :
            ( aElementOf0(X1,slcrc0)
           => aElementOf0(X1,xS) )
        | aSubsetOf0(slcrc0,xS)
        | aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,negated_conjecture,
    ~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
        & aSet0(slcrc0) )
     => ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
        | ! [X0] :
            ( aElementOf0(X0,slcrc0)
           => aElementOf0(X0,xS) )
        | aSubsetOf0(slcrc0,xS) ) ),
    inference(negated_conjecture,[],[f79]) ).

fof(f79,conjecture,
    ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
      & aSet0(slcrc0) )
   => ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
      | ! [X0] :
          ( aElementOf0(X0,slcrc0)
         => aElementOf0(X0,xS) )
      | aSubsetOf0(slcrc0,xS) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f480,plain,
    ! [X0] : ~ aElementOf0(X0,slcrc0),
    inference(cnf_transformation,[],[f301]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM564+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 07:19:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (28111)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.48  % (28119)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48  % (28127)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (28111)First to succeed.
% 0.19/0.49  % (28111)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (28111)------------------------------
% 0.19/0.49  % (28111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (28111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (28111)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (28111)Memory used [KB]: 1407
% 0.19/0.49  % (28111)Time elapsed: 0.084 s
% 0.19/0.49  % (28111)Instructions burned: 16 (million)
% 0.19/0.49  % (28111)------------------------------
% 0.19/0.49  % (28111)------------------------------
% 0.19/0.49  % (28105)Success in time 0.148 s
%------------------------------------------------------------------------------