TSTP Solution File: GEO235+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO235+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 : n016.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 16:09:26 EDT 2022

% Result   : Theorem 0.16s 0.50s
% Output   : Refutation 0.16s
% 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 :   36 (  14   ~;   1   |;  17   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   29 (  17   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(subsumption_resolution,[],[f55,f52]) ).

fof(f52,plain,
    ! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,reverse_line(X0))
      & ~ left_apart_point(X1,X0) ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ! [X1,X0] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f55,plain,
    left_apart_point(sK2,reverse_line(sK0)),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( left_apart_point(sK2,reverse_line(sK0))
    & left_apart_point(sK1,sK0)
    & ~ distinct_points(sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0,X1,X2] :
        ( left_apart_point(X2,reverse_line(X0))
        & left_apart_point(X1,X0)
        & ~ distinct_points(X1,X2) )
   => ( left_apart_point(sK2,reverse_line(sK0))
      & left_apart_point(sK1,sK0)
      & ~ distinct_points(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( left_apart_point(X2,reverse_line(X0))
      & left_apart_point(X1,X0)
      & ~ distinct_points(X1,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ? [X1,X0,X2] :
      ( left_apart_point(X2,reverse_line(X1))
      & left_apart_point(X0,X1)
      & ~ distinct_points(X0,X2) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ? [X0,X2,X1] :
      ( ~ distinct_points(X0,X2)
      & left_apart_point(X2,reverse_line(X1))
      & left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO235+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 21:54:45 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.48  % (27252)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)
% 0.16/0.49  % (27251)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)
% 0.16/0.49  % (27251)First to succeed.
% 0.16/0.49  % (27254)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (27245)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.50  % (27252)Also succeeded, but the first one will report.
% 0.16/0.50  % (27251)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Theorem for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (27251)------------------------------
% 0.16/0.50  % (27251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (27251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (27251)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (27251)Memory used [KB]: 5884
% 0.16/0.50  % (27251)Time elapsed: 0.002 s
% 0.16/0.50  % (27251)Instructions burned: 1 (million)
% 0.16/0.50  % (27251)------------------------------
% 0.16/0.50  % (27251)------------------------------
% 0.16/0.50  % (27240)Success in time 0.174 s
%------------------------------------------------------------------------------