%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM531+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_uns --cores 0 -t %d %s

% Computer : n007.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 18:00:23 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   31 (   5 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   29 (  13   ~;   6   |;   7   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(unit_resulting_resolution,[],[f23,f25,f32,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => ~ isFinite0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).

fof(f32,plain,
    isFinite0(sK0),
    inference(definition_unfolding,[],[f26,f24]) ).

fof(f24,plain,
    slcrc0 = sK0,
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X0] :
      ( isCountable0(X0)
      & slcrc0 = X0
      & aSet0(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0] :
      ( slcrc0 = X0
      & aSet0(X0)
      & isCountable0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0] :
        ( ( aSet0(X0)
          & isCountable0(X0) )
       => slcrc0 != X0 ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0] :
      ( ( aSet0(X0)
        & isCountable0(X0) )
     => slcrc0 != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f26,plain,
    isFinite0(slcrc0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).

fof(f25,plain,
    isCountable0(sK0),
    inference(cnf_transformation,[],[f20]) ).

fof(f23,plain,
    aSet0(sK0),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM531+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 06:44:00 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (23383)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48  % (23367)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.48  % (23367)First to succeed.
% 0.20/0.49  % (23367)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (23367)------------------------------
% 0.20/0.49  % (23367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (23367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (23367)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (23367)Memory used [KB]: 5884
% 0.20/0.49  % (23367)Time elapsed: 0.099 s
% 0.20/0.49  % (23367)Instructions burned: 2 (million)
% 0.20/0.49  % (23367)------------------------------
% 0.20/0.49  % (23367)------------------------------
% 0.20/0.49  % (23358)Success in time 0.142 s
%------------------------------------------------------------------------------