TSTP Solution File: SYN970+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN970+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n006.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 19:46:13 EDT 2022

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   55 (  22   ~;  11   |;  10   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   34 (  22   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f19,f21]) ).

fof(f21,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | ~ spl2_1 ),
    inference(resolution,[],[f13,f8]) ).

fof(f8,plain,
    ~ r(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X2,X3] :
      ( ( r(X2)
        | ~ p(X3) )
      & p(sK1)
      & ~ r(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X0,X1] :
      ! [X2,X3] :
        ( ( r(X2)
          | ~ p(X3) )
        & p(X1)
        & ~ r(X0) )
   => ! [X3,X2] :
        ( ( r(X2)
          | ~ p(X3) )
        & p(sK1)
        & ~ r(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0,X1] :
    ! [X2,X3] :
      ( ( r(X2)
        | ~ p(X3) )
      & p(X1)
      & ~ r(X0) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ? [X1,X0] :
    ! [X3,X2] :
      ( ~ r(X0)
      & p(X1)
      & ( r(X2)
        | ~ p(X3) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X1,X0] :
      ? [X3,X2] :
        ( ( p(X3)
         => r(X2) )
       => ( p(X1)
         => r(X0) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X1,X0] :
      ? [X3,X2] :
        ( ( p(X2)
         => r(X3) )
       => ( p(X0)
         => r(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X1,X0] :
    ? [X3,X2] :
      ( ( p(X2)
       => r(X3) )
     => ( p(X0)
       => r(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f13,plain,
    ( ! [X2] : r(X2)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl2_1
  <=> ! [X2] : r(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f19,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | ~ spl2_2 ),
    inference(resolution,[],[f16,f9]) ).

fof(f9,plain,
    p(sK1),
    inference(cnf_transformation,[],[f7]) ).

fof(f16,plain,
    ( ! [X3] : ~ p(X3)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl2_2
  <=> ! [X3] : ~ p(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f17,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f10,f15,f12]) ).

fof(f10,plain,
    ! [X2,X3] :
      ( ~ p(X3)
      | r(X2) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SYN970+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 22:32:09 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.16/0.46  % (21400)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)
% 0.16/0.46  % (21409)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)
% 0.16/0.47  % (21392)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)
% 0.16/0.47  % (21409)First to succeed.
% 0.16/0.47  % (21401)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)
% 0.16/0.47  % (21400)Also succeeded, but the first one will report.
% 0.16/0.47  % (21409)Refutation found. Thanks to Tanya!
% 0.16/0.47  % SZS status Theorem for theBenchmark
% 0.16/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (21409)------------------------------
% 0.16/0.47  % (21409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (21409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (21409)Termination reason: Refutation
% 0.16/0.47  
% 0.16/0.47  % (21409)Memory used [KB]: 5373
% 0.16/0.47  % (21409)Time elapsed: 0.055 s
% 0.16/0.47  % (21409)Instructions burned: 1 (million)
% 0.16/0.47  % (21409)------------------------------
% 0.16/0.47  % (21409)------------------------------
% 0.16/0.47  % (21385)Success in time 0.155 s
%------------------------------------------------------------------------------