%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM568+1 : 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 : n020.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 18:05:52 EDT 2022

% Result   : Theorem 1.39s 0.53s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   48 (  24 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  17   ~;  16   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   15 (   9   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f760,plain,
    $false,
    inference(subsumption_resolution,[],[f759,f335]) ).

fof(f335,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).

fof(f759,plain,
    ~ aElementOf0(xK,szNzAzT0),
    inference(subsumption_resolution,[],[f758,f415]) ).

fof(f415,plain,
    sz00 != xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 != xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).

fof(f758,plain,
    ( sz00 = xK
    | ~ aElementOf0(xK,szNzAzT0) ),
    inference(resolution,[],[f745,f385]) ).

fof(f385,plain,
    ! [X0] :
      ( aElementOf0(sK15(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f251,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0)
      | ( aElementOf0(sK15(X0),szNzAzT0)
        & szszuzczcdt0(sK15(X0)) = X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f144,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 )
     => ( aElementOf0(sK15(X0),szNzAzT0)
        & szszuzczcdt0(sK15(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0)
      | ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 ) ),
    inference(flattening,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & szszuzczcdt0(X1) = X0 )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ? [X1] :
            ( aElementOf0(X1,szNzAzT0)
            & szszuzczcdt0(X1) = X0 )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).

fof(f745,plain,
    ~ aElementOf0(sK15(xK),szNzAzT0),
    inference(trivial_inequality_removal,[],[f744]) ).

fof(f744,plain,
    ( xK != xK
    | ~ aElementOf0(sK15(xK),szNzAzT0) ),
    inference(superposition,[],[f381,f725]) ).

fof(f725,plain,
    xK = szszuzczcdt0(sK15(xK)),
    inference(subsumption_resolution,[],[f723,f415]) ).

fof(f723,plain,
    ( xK = szszuzczcdt0(sK15(xK))
    | sz00 = xK ),
    inference(resolution,[],[f384,f335]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szszuzczcdt0(sK15(X0)) = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f251]) ).

fof(f381,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != xK
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szszuzczcdt0(X0) != xK ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,szNzAzT0)
        & szszuzczcdt0(X0) = xK ),
    inference(negated_conjecture,[],[f80]) ).

fof(f80,conjecture,
    ? [X0] :
      ( aElementOf0(X0,szNzAzT0)
      & szszuzczcdt0(X0) = xK ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM568+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.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   : Tue Aug 30 07:11:00 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (23769)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)
% 0.21/0.52  % (23786)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (23784)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (23769)First to succeed.
% 1.39/0.53  % (23767)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.39/0.53  % (23769)Refutation found. Thanks to Tanya!
% 1.39/0.53  % SZS status Theorem for theBenchmark
% 1.39/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.53  % (23769)------------------------------
% 1.39/0.53  % (23769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53  % (23769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53  % (23769)Termination reason: Refutation
% 1.39/0.53  
% 1.39/0.53  % (23769)Memory used [KB]: 1407
% 1.39/0.53  % (23769)Time elapsed: 0.107 s
% 1.39/0.53  % (23769)Instructions burned: 28 (million)
% 1.39/0.53  % (23769)------------------------------
% 1.39/0.53  % (23769)------------------------------
% 1.39/0.53  % (23763)Success in time 0.175 s
%------------------------------------------------------------------------------