%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN733+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n009.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 19:39:25 EDT 2022

% Result   : Theorem 0.21s 0.49s
% Output   : Refutation 0.21s
% 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 :    6 (   3 avg)
%            Number of connectives :   31 (   8   ~;  10   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   18 (  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f9]) ).

fof(f9,plain,
    ! [X2] : ~ q(X2),
    inference(subsumption_resolution,[],[f6,f8]) ).

fof(f8,plain,
    ! [X0] : p(X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ! [X0] :
        ( p(X0)
        & ( q(X0)
          | q(sK0(X0)) ) )
    & ! [X2] :
        ( ~ p(X2)
        | ~ q(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

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

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

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
        ? [X1] :
          ( p(X0)
          & ( q(X0)
            | q(X1) ) )
     => ? [X2] :
          ( p(X2)
          & q(X2) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
      ? [X1] :
        ( p(X0)
        & ( q(X0)
          | q(X1) ) )
   => ? [X2] :
        ( p(X2)
        & q(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',y2141) ).

fof(f6,plain,
    ! [X2] :
      ( ~ p(X2)
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f5]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN733+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:16:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  % (26384)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.48  % (26380)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.49  % (26390)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.49  % (26376)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.49  % (26390)First to succeed.
% 0.21/0.49  % (26390)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Theorem for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (26390)------------------------------
% 0.21/0.49  % (26390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (26390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (26390)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (26390)Memory used [KB]: 5373
% 0.21/0.49  % (26390)Time elapsed: 0.097 s
% 0.21/0.49  % (26390)Instructions burned: 1 (million)
% 0.21/0.49  % (26390)------------------------------
% 0.21/0.49  % (26390)------------------------------
% 0.21/0.49  % (26365)Success in time 0.132 s
%------------------------------------------------------------------------------