TSTP Solution File: SYN721-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN721-1 : 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 : n020.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 19:39:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  14   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f18,f22]) ).

fof(f22,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f13,f15]) ).

fof(f15,plain,
    ! [X0] : r(X0,a),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    r(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_1) ).

fof(f5,plain,
    ! [X2,X0,X1] :
      ( ~ r(X1,X2)
      | r(X0,X1) ),
    inference(resolution,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( q(X0,X0)
      | ~ r(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_2) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ q(X0,X1)
      | r(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_3) ).

fof(f13,plain,
    ( ! [X0] : ~ r(a,X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> ! [X0] : ~ r(a,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f18,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f16]) ).

fof(f16,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f15,f10]) ).

fof(f10,plain,
    ( ~ r(b,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> r(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f14,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f12,f8]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ r(a,X0)
      | ~ r(b,a) ),
    inference(resolution,[],[f4,f2]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ q(X0,a)
      | ~ r(b,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN721-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:20:15 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (29304)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.49  % (29304)First to succeed.
% 0.20/0.49  % (29304)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (29304)------------------------------
% 0.20/0.49  % (29304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (29304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (29304)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (29304)Memory used [KB]: 5373
% 0.20/0.49  % (29304)Time elapsed: 0.089 s
% 0.20/0.49  % (29304)Instructions burned: 1 (million)
% 0.20/0.49  % (29304)------------------------------
% 0.20/0.49  % (29304)------------------------------
% 0.20/0.49  % (29295)Success in time 0.14 s
%------------------------------------------------------------------------------