%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN953+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n014.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 03:48:03 EDT 2023

% Result   : Theorem 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  15   ~;   5   |;   8   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   23 (;  19   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X1] : p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ~ q(sK0)
    & ! [X1] : p(X1)
    & ! [X2] :
        ( q(X2)
        | ~ p(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

fof(f7,plain,
    ( ? [X0] : ~ q(X0)
   => ~ q(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ? [X0] : ~ q(X0)
    & ! [X1] : p(X1)
    & ! [X2] :
        ( q(X2)
        | ~ p(X2) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ? [X2] : ~ q(X2)
    & ! [X1] : p(X1)
    & ! [X0] :
        ( q(X0)
        | ~ p(X0) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ? [X2] : ~ q(X2)
    & ! [X1] : p(X1)
    & ! [X0] :
        ( q(X0)
        | ~ p(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] :
          ( p(X0)
         => q(X0) )
     => ( ! [X1] : p(X1)
       => ! [X2] : q(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( p(X0)
         => q(X0) )
     => ( ! [X0] : p(X0)
       => ! [X0] : q(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( p(X0)
       => q(X0) )
   => ( ! [X0] : p(X0)
     => ! [X0] : q(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gEEzeL59r3/Vampire---4.8_7263',prove_this) ).

fof(f12,plain,
    ~ p(sK0),
    inference(resolution,[],[f9,f11]) ).

fof(f11,plain,
    ~ q(sK0),
    inference(cnf_transformation,[],[f8]) ).

fof(f9,plain,
    ! [X2] :
      ( q(X2)
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN953+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat Aug 26 21:18:17 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.gEEzeL59r3/Vampire---4.8_7263
% 0.15/0.37  % (7414)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (7417)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.41  % (7417)First to succeed.
% 0.22/0.41  % (7417)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Theorem for Vampire---4
% 0.22/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.41  % (7417)------------------------------
% 0.22/0.41  % (7417)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41  % (7417)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41  % (7417)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (7417)Memory used [KB]: 895
% 0.22/0.41  % (7417)Time elapsed: 0.001 s
% 0.22/0.41  % (7417)------------------------------
% 0.22/0.41  % (7417)------------------------------
% 0.22/0.41  % (7414)Success in time 0.036 s
% 0.22/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------