TSTP Solution File: LCL230+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL230+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 : n012.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 17:47:28 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   46 (  15   ~;  14   |;   8   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f23,f24,f25]) ).

fof(f25,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f6,f19]) ).

fof(f19,plain,
    ( spl0_3
  <=> r ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f6,plain,
    ~ r,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ( ~ q
        & ~ p )
      | r
      | p )
    & ~ p
    & ~ r
    & q ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ~ r
    & q
    & ~ p
    & ( r
      | p
      | ( ~ q
        & ~ p ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( p
          | q )
       => ( r
          | p ) )
     => ( ( q
         => r )
        | p ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( p
        | q )
     => ( r
        | p ) )
   => ( ( q
       => r )
      | p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel5) ).

fof(f24,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f5,f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> q ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f5,plain,
    q,
    inference(cnf_transformation,[],[f4]) ).

fof(f23,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f7,f15]) ).

fof(f15,plain,
    ( spl0_2
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,plain,
    ~ p,
    inference(cnf_transformation,[],[f4]) ).

fof(f22,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f9,f19,f15,f11]) ).

fof(f9,plain,
    ( r
    | p
    | ~ q ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL230+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % 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 : n012.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 01:45:51 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (7312)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.45  % (7312)First to succeed.
% 0.19/0.45  % (7312)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Theorem for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (7312)------------------------------
% 0.19/0.45  % (7312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (7312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (7312)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (7312)Memory used [KB]: 5373
% 0.19/0.45  % (7312)Time elapsed: 0.059 s
% 0.19/0.45  % (7312)Instructions burned: 1 (million)
% 0.19/0.45  % (7312)------------------------------
% 0.19/0.45  % (7312)------------------------------
% 0.19/0.45  % (7304)Success in time 0.107 s
%------------------------------------------------------------------------------