TSTP Solution File: GEO245+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO245+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 : n002.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 16:09:29 EDT 2022

% Result   : Theorem 0.19s 0.49s
% 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       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  13   ~;   2   |;  13   &)
%                                         (   0 <=>;   7  =>;   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 (  17   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,plain,
    $false,
    inference(subsumption_resolution,[],[f169,f151]) ).

fof(f151,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,X0)
      & ~ left_apart_point(X1,reverse_line(X0)) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X1,X0)
        | left_apart_point(X1,reverse_line(X0)) ),
    inference(rectify,[],[f20]) ).

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

fof(f169,plain,
    left_apart_point(sK2,line_connecting(sK1,sK0)),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ~ right_apart_point(sK0,line_connecting(sK1,sK2))
    & left_apart_point(sK2,line_connecting(sK1,sK0))
    & distinct_points(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X0,X1,X2] :
        ( ~ right_apart_point(X0,line_connecting(X1,X2))
        & left_apart_point(X2,line_connecting(X1,X0))
        & distinct_points(X1,X0) )
   => ( ~ right_apart_point(sK0,line_connecting(sK1,sK2))
      & left_apart_point(sK2,line_connecting(sK1,sK0))
      & distinct_points(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ? [X0,X1,X2] :
      ( ~ right_apart_point(X0,line_connecting(X1,X2))
      & left_apart_point(X2,line_connecting(X1,X0))
      & distinct_points(X1,X0) ),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ? [X0,X2,X1] :
      ( ~ right_apart_point(X0,line_connecting(X2,X1))
      & left_apart_point(X1,line_connecting(X2,X0))
      & distinct_points(X2,X0) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ? [X0,X1,X2] :
      ( ~ right_apart_point(X0,line_connecting(X2,X1))
      & left_apart_point(X1,line_connecting(X2,X0))
      & distinct_points(X2,X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ~ ! [X0,X1,X2] :
        ( distinct_points(X2,X0)
       => ( left_apart_point(X1,line_connecting(X2,X0))
         => right_apart_point(X0,line_connecting(X2,X1)) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X5,X6,X2] :
        ( distinct_points(X2,X5)
       => ( left_apart_point(X6,line_connecting(X2,X5))
         => right_apart_point(X5,line_connecting(X2,X6)) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X5,X6,X2] :
      ( distinct_points(X2,X5)
     => ( left_apart_point(X6,line_connecting(X2,X5))
       => right_apart_point(X5,line_connecting(X2,X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : GEO245+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % 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 : n002.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 21:46:28 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (11806)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)
% 0.19/0.48  % (11806)Instruction limit reached!
% 0.19/0.48  % (11806)------------------------------
% 0.19/0.48  % (11806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (11806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (11806)Termination reason: Unknown
% 0.19/0.48  % (11806)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (11806)Memory used [KB]: 1535
% 0.19/0.48  % (11806)Time elapsed: 0.005 s
% 0.19/0.48  % (11806)Instructions burned: 3 (million)
% 0.19/0.48  % (11806)------------------------------
% 0.19/0.48  % (11806)------------------------------
% 0.19/0.49  % (11819)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)
% 0.19/0.49  % (11819)First to succeed.
% 0.19/0.49  % (11828)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)
% 0.19/0.49  % (11819)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (11819)------------------------------
% 0.19/0.49  % (11819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (11819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (11819)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (11819)Memory used [KB]: 6012
% 0.19/0.49  % (11819)Time elapsed: 0.005 s
% 0.19/0.49  % (11819)Instructions burned: 3 (million)
% 0.19/0.49  % (11819)------------------------------
% 0.19/0.49  % (11819)------------------------------
% 0.19/0.49  % (11800)Success in time 0.154 s
%------------------------------------------------------------------------------