TSTP Solution File: GEO239+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO239+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 : 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 16:09:27 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   29 (  13   ~;   2   |;   9   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f172,plain,
    $false,
    inference(subsumption_resolution,[],[f137,f158]) ).

fof(f158,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,reverse_line(X3))
        | left_apart_point(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).

fof(f137,plain,
    left_apart_point(sK2,sK0),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( left_apart_point(sK2,sK0)
    & ~ left_convergent_lines(sK0,line_connecting(sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f115,f116]) ).

fof(f116,plain,
    ( ? [X0,X1,X2] :
        ( left_apart_point(X2,X0)
        & ~ left_convergent_lines(X0,line_connecting(X1,X2)) )
   => ( left_apart_point(sK2,sK0)
      & ~ left_convergent_lines(sK0,line_connecting(sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ? [X0,X1,X2] :
      ( left_apart_point(X2,X0)
      & ~ left_convergent_lines(X0,line_connecting(X1,X2)) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ? [X1,X2,X0] :
      ( left_apart_point(X0,X1)
      & ~ left_convergent_lines(X1,line_connecting(X2,X0)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ~ ! [X1,X0,X2] :
        ( left_apart_point(X0,X1)
       => left_convergent_lines(X1,line_connecting(X2,X0)) ),
    inference(pure_predicate_removal,[],[f41]) ).

fof(f41,plain,
    ~ ! [X1,X0,X2] :
        ( ( incident_point_and_line(X2,X1)
          & left_apart_point(X0,X1) )
       => left_convergent_lines(X1,line_connecting(X2,X0)) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X5,X3,X2] :
        ( ( incident_point_and_line(X2,X3)
          & left_apart_point(X5,X3) )
       => left_convergent_lines(X3,line_connecting(X2,X5)) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X5,X3,X2] :
      ( ( incident_point_and_line(X2,X3)
        & left_apart_point(X5,X3) )
     => left_convergent_lines(X3,line_connecting(X2,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO239+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n020.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 21:35:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (27881)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)
% 0.19/0.50  % (27903)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50  % (27898)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (27895)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (27890)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)
% 0.19/0.50  % (27881)First to succeed.
% 0.19/0.50  % (27889)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  % (27903)Also succeeded, but the first one will report.
% 0.19/0.51  % (27885)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (27881)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (27881)------------------------------
% 0.19/0.51  % (27881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (27881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (27881)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (27881)Memory used [KB]: 6012
% 0.19/0.51  % (27881)Time elapsed: 0.004 s
% 0.19/0.51  % (27881)Instructions burned: 2 (million)
% 0.19/0.51  % (27881)------------------------------
% 0.19/0.51  % (27881)------------------------------
% 0.19/0.51  % (27875)Success in time 0.164 s
%------------------------------------------------------------------------------