TSTP Solution File: GEO216+3 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO216+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n008.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 16:12:20 EDT 2022

% Result   : Theorem 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  14   ~;   5   |;   0   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   21 (  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f165,plain,
    $false,
    inference(subsumption_resolution,[],[f164,f133]) ).

fof(f133,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) ).

fof(f164,plain,
    convergent_lines(sK0,sK0),
    inference(resolution,[],[f163,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X1,X0)
      | convergent_lines(X1,X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( convergent_lines(X1,X0)
      | unorthogonal_lines(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X6,X5] :
      ( convergent_lines(X5,X6)
      | unorthogonal_lines(X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).

fof(f163,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(resolution,[],[f155,f132]) ).

fof(f132,plain,
    orthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    orthogonal_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f87,f106]) ).

fof(f106,plain,
    ( ? [X0] : orthogonal_lines(X0,X0)
   => orthogonal_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ? [X0] : orthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0] : ~ orthogonal_lines(X0,X0),
    inference(rectify,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X5] : ~ orthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X5] : ~ orthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ~ orthogonal_lines(X0,X1)
      | ~ unorthogonal_lines(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ orthogonal_lines(X0,X1)
      | ~ unorthogonal_lines(X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( orthogonal_lines(X0,X1)
     => ~ unorthogonal_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( orthogonal_lines(X0,X1)
    <=> ~ unorthogonal_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO216+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % 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 : n008.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   : Mon Aug 29 21:33:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.43  % (4874)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.43  % (4874)First to succeed.
% 0.19/0.43  % (4882)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.43  % (4874)Refutation found. Thanks to Tanya!
% 0.19/0.43  % SZS status Theorem for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43  % (4874)------------------------------
% 0.19/0.43  % (4874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.43  % (4874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.43  % (4874)Termination reason: Refutation
% 0.19/0.43  
% 0.19/0.43  % (4874)Memory used [KB]: 5500
% 0.19/0.43  % (4874)Time elapsed: 0.038 s
% 0.19/0.43  % (4874)Instructions burned: 2 (million)
% 0.19/0.43  % (4874)------------------------------
% 0.19/0.43  % (4874)------------------------------
% 0.19/0.43  % (4857)Success in time 0.086 s
%------------------------------------------------------------------------------