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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --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 16:09:18 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  12   ~;   4   |;   0   &)
%                                         (   2 <=>;   0  =>;   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   :   18 (  17   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(unit_resulting_resolution,[],[f130,f143,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( unorthogonal_lines(X1,X0)
      | convergent_lines(X1,X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X1,X0] :
      ( convergent_lines(X1,X0)
      | unorthogonal_lines(X1,X0) ),
    inference(rectify,[],[f19]) ).

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

fof(f143,plain,
    ~ unorthogonal_lines(sK0,sK0),
    inference(unit_resulting_resolution,[],[f135,f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ~ orthogonal_lines(X1,X0)
      | ~ unorthogonal_lines(X1,X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ~ unorthogonal_lines(X1,X0)
    <=> orthogonal_lines(X1,X0) ),
    inference(rectify,[],[f35]) ).

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

fof(f135,plain,
    orthogonal_lines(sK0,sK0),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ? [X0] : orthogonal_lines(X0,X0),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,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/sandbox/benchmark/theBenchmark.p',con) ).

fof(f130,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO216+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n012.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 21:29:21 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (3061)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (3063)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (3061)First to succeed.
% 0.19/0.52  % (3055)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (3061)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (3061)------------------------------
% 0.19/0.52  % (3061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (3061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (3061)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (3061)Memory used [KB]: 6012
% 0.19/0.52  % (3061)Time elapsed: 0.100 s
% 0.19/0.52  % (3061)Instructions burned: 2 (million)
% 0.19/0.52  % (3061)------------------------------
% 0.19/0.52  % (3061)------------------------------
% 0.19/0.52  % (3052)Success in time 0.168 s
%------------------------------------------------------------------------------