%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN368+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 18:03:04 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ~ big_p(sK0(X0))
      & big_p(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ big_p(X1)
          & big_p(X0) )
     => ( ~ big_p(sK0(X0))
        & big_p(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
      ( ~ big_p(X1)
      & big_p(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( big_p(X0)
       => big_p(X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
      ( big_p(X0)
     => big_p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2119) ).

fof(f7,plain,
    ! [X0] : ~ big_p(sK0(X0)),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN368+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 01:51:12 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (17036)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (17041)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36  % (17041)First to succeed.
% 0.14/0.36  % (17041)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (17041)------------------------------
% 0.14/0.36  % (17041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36  % (17041)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (17041)Memory used [KB]: 726
% 0.14/0.36  % (17041)Time elapsed: 0.002 s
% 0.14/0.36  % (17041)Instructions burned: 2 (million)
% 0.14/0.36  % (17041)------------------------------
% 0.14/0.36  % (17041)------------------------------
% 0.14/0.36  % (17036)Success in time 0.011 s
%------------------------------------------------------------------------------