%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n017.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 18:26:43 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   8   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,plain,
    $false,
    inference(unit_resulting_resolution,[],[f74,f75,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ element(X1,finite_subsets(X0))
      | finite(X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ element(X1,finite_subsets(X0))
      | finite(X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X0] :
      ( element(X1,finite_subsets(X0))
     => finite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_finsub_1) ).

fof(f75,plain,
    element(sK4,finite_subsets(sK3)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( element(sK4,finite_subsets(sK3))
    & ~ finite(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f46,f56]) ).

fof(f56,plain,
    ( ? [X0,X1] :
        ( element(X1,finite_subsets(X0))
        & ~ finite(X1) )
   => ( element(sK4,finite_subsets(sK3))
      & ~ finite(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ? [X0,X1] :
      ( element(X1,finite_subsets(X0))
      & ~ finite(X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ! [X1,X0] :
        ( element(X1,finite_subsets(X0))
       => finite(X1) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ! [X1,X0] :
      ( element(X1,finite_subsets(X0))
     => finite(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_finsub_1) ).

fof(f74,plain,
    ~ finite(sK4),
    inference(cnf_transformation,[],[f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU116+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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 14:03:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.53  % (14787)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (14787)First to succeed.
% 0.19/0.54  % (14787)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (14787)------------------------------
% 0.19/0.54  % (14787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (14787)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (14787)Memory used [KB]: 6012
% 0.19/0.54  % (14787)Time elapsed: 0.112 s
% 0.19/0.54  % (14787)Instructions burned: 2 (million)
% 0.19/0.54  % (14787)------------------------------
% 0.19/0.54  % (14787)------------------------------
% 0.19/0.54  % (14783)Success in time 0.183 s
%------------------------------------------------------------------------------