TSTP Solution File: GEO257+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 16:09:33 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   47 (  14   ~;   2   |;  25   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   33 (  23   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(resolution,[],[f129,f103]) ).

fof(f103,plain,
    left_apart_point(sK0,sK3),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ? [X3,X0,X1,X4,X2] :
      ( distinct_points(X2,X1)
      & ~ before_on_line(X4,X0,X1)
      & before_on_line(X4,X0,X2)
      & distinct_points(X0,X1)
      & before_on_line(X4,X2,X1)
      & ~ apart_point_and_line(X1,X4)
      & left_apart_point(X3,X4) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ? [X0,X4,X3,X2,X1] :
      ( ~ before_on_line(X4,X0,X1)
      & before_on_line(X4,X0,X2)
      & before_on_line(X4,X2,X1)
      & left_apart_point(X3,X4)
      & distinct_points(X0,X1)
      & ~ apart_point_and_line(X1,X4)
      & distinct_points(X2,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X4,X3,X2,X1] :
        ( ( left_apart_point(X3,X4)
          & distinct_points(X0,X1)
          & ~ apart_point_and_line(X1,X4)
          & distinct_points(X2,X1) )
       => ( ( before_on_line(X4,X0,X2)
            & before_on_line(X4,X2,X1) )
         => before_on_line(X4,X0,X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X4,X3,X6,X1] :
        ( ( left_apart_point(X6,X1)
          & distinct_points(X3,X4)
          & ~ apart_point_and_line(X4,X1)
          & distinct_points(X0,X4) )
       => ( ( before_on_line(X1,X3,X4)
            & before_on_line(X1,X0,X3) )
         => before_on_line(X1,X0,X4) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X4,X3,X6,X1] :
      ( ( left_apart_point(X6,X1)
        & distinct_points(X3,X4)
        & ~ apart_point_and_line(X4,X1)
        & distinct_points(X0,X4) )
     => ( ( before_on_line(X1,X3,X4)
          & before_on_line(X1,X0,X3) )
       => before_on_line(X1,X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f129,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,X0)
      & ~ left_apart_point(X1,reverse_line(X0)) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X1,X0)
        | left_apart_point(X1,reverse_line(X0)) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:34:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (22945)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.49  % (22937)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.49  % (22937)First to succeed.
% 0.19/0.50  % (22937)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (22937)------------------------------
% 0.19/0.50  % (22937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (22937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (22937)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (22937)Memory used [KB]: 6012
% 0.19/0.50  % (22937)Time elapsed: 0.077 s
% 0.19/0.50  % (22937)Instructions burned: 2 (million)
% 0.19/0.50  % (22937)------------------------------
% 0.19/0.50  % (22937)------------------------------
% 0.19/0.50  % (22916)Success in time 0.148 s
%------------------------------------------------------------------------------