TSTP Solution File: GEO211+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n017.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 16:09:15 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(unit_resulting_resolution,[],[f64,f68,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
      | unorthogonal_lines(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( convergent_lines(X1,X0)
      | unorthogonal_lines(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X6,X5] :
      ( convergent_lines(X5,X6)
      | unorthogonal_lines(X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).

fof(f68,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f42,f53]) ).

fof(f53,plain,
    ( ? [X0] : ~ unorthogonal_lines(X0,X0)
   => ~ unorthogonal_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0] : ~ unorthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ~ ! [X0] : unorthogonal_lines(X0,X0),
    inference(rectify,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X5] : unorthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X5] : unorthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f64,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n017.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   : Mon Aug 29 20:53:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (8895)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (8904)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (8904)First to succeed.
% 0.19/0.47  % (8904)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (8904)------------------------------
% 0.19/0.47  % (8904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (8904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (8904)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (8904)Memory used [KB]: 5884
% 0.19/0.47  % (8904)Time elapsed: 0.092 s
% 0.19/0.47  % (8904)Instructions burned: 2 (million)
% 0.19/0.47  % (8904)------------------------------
% 0.19/0.47  % (8904)------------------------------
% 0.19/0.47  % (8885)Success in time 0.126 s
%------------------------------------------------------------------------------