%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n021.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 : Fri Sep  1 03:37:13 EDT 2023

% Result   : Theorem 0.24s 0.43s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   37 (  14   ~;   6   |;  10   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   20 (;  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_q(X0)
      & big_p(X0)
      & ( big_q(sK1(X0))
        | ~ big_p(sK0(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( ~ big_q(X0)
          & big_p(X0)
          & ( big_q(X2)
            | ~ big_p(X1) ) )
     => ( ~ big_q(X0)
        & big_p(X0)
        & ( big_q(sK1(X0))
          | ~ big_p(sK0(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ! [X0] :
    ? [X1,X2] :
      ( ~ big_q(X0)
      & big_p(X0)
      & ( big_q(X2)
        | ~ big_p(X1) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1,X2] :
      ( ~ big_q(X0)
      & big_p(X0)
      & ( big_q(X2)
        | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1,X2] :
        ( ( big_p(X1)
         => big_q(X2) )
       => ( big_p(X0)
         => big_q(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1,X2] :
      ( ( big_p(X1)
       => big_q(X2) )
     => ( big_p(X0)
       => big_q(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8QI7pDYweh/Vampire---4.8_31841',pel19) ).

fof(f10,plain,
    ! [X0] : ~ big_p(sK0(X0)),
    inference(resolution,[],[f7,f9]) ).

fof(f9,plain,
    ! [X0] : ~ big_q(X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f7,plain,
    ! [X0] :
      ( big_q(sK1(X0))
      | ~ big_p(sK0(X0)) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% 0.15/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 21:20:27 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.8QI7pDYweh/Vampire---4.8_31841
% 0.24/0.37  % (31951)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.43  % (31959)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.24/0.43  % (31959)First to succeed.
% 0.24/0.43  % (31959)Refutation found. Thanks to Tanya!
% 0.24/0.43  % SZS status Theorem for Vampire---4
% 0.24/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.43  % (31959)------------------------------
% 0.24/0.43  % (31959)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.43  % (31959)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.43  % (31959)Termination reason: Refutation
% 0.24/0.43  
% 0.24/0.43  % (31959)Memory used [KB]: 895
% 0.24/0.43  % (31959)Time elapsed: 0.002 s
% 0.24/0.43  % (31959)------------------------------
% 0.24/0.43  % (31959)------------------------------
% 0.24/0.43  % (31951)Success in time 0.054 s
% 0.24/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------