TSTP Solution File: GEO211+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO211+1 : 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_sat --cores 0 -t %d %s

% Computer : n011.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 16:12:18 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   20 (   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(f112,plain,
    $false,
    inference(subsumption_resolution,[],[f110,f98]) ).

fof(f98,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(f110,plain,
    convergent_lines(sK0,sK0),
    inference(resolution,[],[f108,f104]) ).

fof(f104,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f78]) ).

fof(f78,plain,
    ( ? [X0] : ~ unorthogonal_lines(X0,X0)
   => ~ unorthogonal_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0] : ~ unorthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ! [X0] : unorthogonal_lines(X0,X0),
    inference(rectify,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ! [X5] : unorthogonal_lines(X5,X5),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ! [X5] : unorthogonal_lines(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f108,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X1,X0)
      | convergent_lines(X1,X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( convergent_lines(X1,X0)
      | unorthogonal_lines(X1,X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( convergent_lines(X0,X1)
      | unorthogonal_lines(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X5,X6] :
      ( unorthogonal_lines(X5,X6)
      | convergent_lines(X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO211+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:26:25 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  % (9167)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49  % (9179)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 (2999ds/467Mi)
% 0.20/0.50  % (9175)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50  % (9176)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (9166)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (9184)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50  % (9170)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 (2999ds/75Mi)
% 0.20/0.50  % (9175)First to succeed.
% 0.20/0.50  % (9179)Also succeeded, but the first one will report.
% 0.20/0.50  % (9175)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (9175)------------------------------
% 0.20/0.50  % (9175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (9175)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (9175)Memory used [KB]: 5373
% 0.20/0.50  % (9175)Time elapsed: 0.108 s
% 0.20/0.50  % (9175)Instructions burned: 2 (million)
% 0.20/0.50  % (9175)------------------------------
% 0.20/0.50  % (9175)------------------------------
% 0.20/0.50  % (9152)Success in time 0.162 s
%------------------------------------------------------------------------------