%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN406+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 19:37:48 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   52 (  17   ~;  10   |;  20   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f12]) ).

fof(f12,plain,
    g(sK0),
    inference(resolution,[],[f8,f10]) ).

fof(f10,plain,
    f(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( h(sK0)
    & f(sK0)
    & ! [X1] :
        ( ~ h(X1)
        | ~ g(X1) )
    & ! [X2] :
        ( ~ f(X2)
        | g(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( h(X0)
        & f(X0) )
   => ( h(sK0)
      & f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ? [X0] :
        ( h(X0)
        & f(X0) )
    & ! [X1] :
        ( ~ h(X1)
        | ~ g(X1) )
    & ! [X2] :
        ( ~ f(X2)
        | g(X2) ) ),
    inference(rectify,[],[f4]) ).

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

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

fof(f2,negated_conjecture,
    ~ ( ( ! [X0] :
            ( f(X0)
           => g(X0) )
        & ? [X1] :
            ( h(X1)
            & f(X1) ) )
     => ? [X2] :
          ( g(X2)
          & h(X2) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X0] :
          ( f(X0)
         => g(X0) )
      & ? [X1] :
          ( h(X1)
          & f(X1) ) )
   => ? [X2] :
        ( g(X2)
        & h(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish240) ).

fof(f8,plain,
    ! [X2] :
      ( ~ f(X2)
      | g(X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    ~ g(sK0),
    inference(resolution,[],[f9,f11]) ).

fof(f11,plain,
    h(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    ! [X1] :
      ( ~ h(X1)
      | ~ g(X1) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN406+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:07:16 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (8676)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.45  % (8676)First to succeed.
% 0.18/0.45  % (8676)Refutation found. Thanks to Tanya!
% 0.18/0.45  % SZS status Theorem for theBenchmark
% 0.18/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.45  % (8676)------------------------------
% 0.18/0.45  % (8676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (8676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (8676)Termination reason: Refutation
% 0.18/0.45  
% 0.18/0.45  % (8676)Memory used [KB]: 5373
% 0.18/0.45  % (8676)Time elapsed: 0.064 s
% 0.18/0.45  % (8676)Instructions burned: 1 (million)
% 0.18/0.45  % (8676)------------------------------
% 0.18/0.45  % (8676)------------------------------
% 0.18/0.45  % (8663)Success in time 0.107 s
%------------------------------------------------------------------------------