TSTP Solution File: SYN399+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN399+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 : n004.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 0.15s 0.47s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   74 (  28   ~;  24   |;  13   &)
%                                         (   5 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   25 (  21   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f18]) ).

fof(f18,plain,
    ! [X2] : f(X2),
    inference(subsumption_resolution,[],[f13,f17]) ).

fof(f17,plain,
    p,
    inference(subsumption_resolution,[],[f15,f14]) ).

fof(f14,plain,
    ! [X2] :
      ( ~ f(X2)
      | p ),
    inference(literal_reordering,[],[f10]) ).

fof(f10,plain,
    ! [X2] :
      ( p
      | ~ f(X2) ),
    inference(cnf_transformation,[],[f8]) ).

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

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

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

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

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

fof(f3,plain,
    ( ( p
    <~> ! [X1] : f(X1) )
    & ! [X0] :
        ( p
      <=> f(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( p
        <=> f(X0) )
     => ( p
      <=> ! [X1] : f(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( p
      <=> f(X0) )
   => ( p
    <=> ! [X1] : f(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish223) ).

fof(f15,plain,
    ! [X1] :
      ( f(X1)
      | p ),
    inference(literal_reordering,[],[f11]) ).

fof(f11,plain,
    ! [X1] :
      ( f(X1)
      | p ),
    inference(cnf_transformation,[],[f8]) ).

fof(f13,plain,
    ! [X2] :
      ( ~ p
      | f(X2) ),
    inference(literal_reordering,[],[f9]) ).

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

fof(f20,plain,
    ~ f(sK0),
    inference(subsumption_resolution,[],[f16,f17]) ).

fof(f16,plain,
    ( ~ p
    | ~ f(sK0) ),
    inference(literal_reordering,[],[f12]) ).

fof(f12,plain,
    ( ~ p
    | ~ f(sK0) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SYN399+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n004.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 21:48:04 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.45  % (17085)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)
% 0.15/0.47  % (17085)First to succeed.
% 0.15/0.47  % (17094)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.15/0.47  % (17077)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.47  % (17086)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.47  % (17094)Also succeeded, but the first one will report.
% 0.15/0.47  % (17085)Refutation found. Thanks to Tanya!
% 0.15/0.47  % SZS status Theorem for theBenchmark
% 0.15/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47  % (17085)------------------------------
% 0.15/0.47  % (17085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (17085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (17085)Termination reason: Refutation
% 0.15/0.47  
% 0.15/0.47  % (17085)Memory used [KB]: 5628
% 0.15/0.47  % (17085)Time elapsed: 0.005 s
% 0.15/0.47  % (17085)Instructions burned: 3 (million)
% 0.15/0.47  % (17085)------------------------------
% 0.15/0.47  % (17085)------------------------------
% 0.15/0.47  % (17070)Success in time 0.168 s
%------------------------------------------------------------------------------