TSTP Solution File: GEO238+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO238+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 : n001.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 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   3 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   58 (  15   ~;  11   |;  25   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   52 (  40   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f187,plain,
    $false,
    inference(unit_resulting_resolution,[],[f179,f179,f182,f144]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ divides_points(X1,X2,X0)
      | left_apart_point(X2,X1)
      | left_apart_point(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ~ divides_points(X1,X2,X0)
      | ( left_apart_point(X0,X1)
        & right_apart_point(X2,X1) )
      | ( right_apart_point(X0,X1)
        & left_apart_point(X2,X1) ) ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ( left_apart_point(X0,X1)
        & right_apart_point(X2,X1) )
      | ( right_apart_point(X0,X1)
        & left_apart_point(X2,X1) )
      | ~ divides_points(X1,X2,X0) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( divides_points(X1,X2,X0)
     => ( ( left_apart_point(X0,X1)
          & right_apart_point(X2,X1) )
        | ( right_apart_point(X0,X1)
          & left_apart_point(X2,X1) ) ) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( divides_points(X1,X2,X0)
    <=> ( ( left_apart_point(X0,X1)
          & right_apart_point(X2,X1) )
        | ( right_apart_point(X0,X1)
          & left_apart_point(X2,X1) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X5,X3,X2] :
      ( divides_points(X3,X2,X5)
    <=> ( ( right_apart_point(X5,X3)
          & left_apart_point(X2,X3) )
        | ( left_apart_point(X5,X3)
          & right_apart_point(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a8_defns) ).

fof(f182,plain,
    divides_points(sK0,sK1,sK3),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( divides_points(sK0,sK3,sK2)
    & divides_points(sK0,sK1,sK2)
    & divides_points(sK0,sK1,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f97,f135]) ).

fof(f135,plain,
    ( ? [X0,X1,X2,X3] :
        ( divides_points(X0,X3,X2)
        & divides_points(X0,X1,X2)
        & divides_points(X0,X1,X3) )
   => ( divides_points(sK0,sK3,sK2)
      & divides_points(sK0,sK1,sK2)
      & divides_points(sK0,sK1,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ? [X0,X1,X2,X3] :
      ( divides_points(X0,X3,X2)
      & divides_points(X0,X1,X2)
      & divides_points(X0,X1,X3) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ? [X0,X3,X2,X1] :
      ( divides_points(X0,X3,X2)
      & divides_points(X0,X1,X2)
      & divides_points(X0,X1,X3) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ~ ! [X0,X3,X2,X1] :
        ( ( divides_points(X0,X1,X2)
          & divides_points(X0,X1,X3) )
       => ~ divides_points(X0,X3,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X3,X2,X6,X5] :
        ( ( divides_points(X3,X2,X6)
          & divides_points(X3,X2,X5) )
       => ~ divides_points(X3,X5,X6) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X3,X2,X6,X5] :
      ( ( divides_points(X3,X2,X6)
        & divides_points(X3,X2,X5) )
     => ~ divides_points(X3,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f179,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,X0)
      & ~ left_apart_point(X1,reverse_line(X0)) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0] :
      ( ~ left_apart_point(X0,X1)
      & ~ left_apart_point(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ~ ( 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/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 21:54:00 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (12600)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)
% 0.18/0.47  % (12574)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)
% 0.18/0.47  % (12574)Instruction limit reached!
% 0.18/0.47  % (12574)------------------------------
% 0.18/0.47  % (12574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (12574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (12574)Termination reason: Unknown
% 0.18/0.47  % (12574)Termination phase: Saturation
% 0.18/0.47  
% 0.18/0.47  % (12574)Memory used [KB]: 6012
% 0.18/0.48  % (12574)Time elapsed: 0.080 s
% 0.18/0.48  % (12574)Instructions burned: 3 (million)
% 0.18/0.48  % (12574)------------------------------
% 0.18/0.48  % (12574)------------------------------
% 0.18/0.48  % (12600)First to succeed.
% 0.18/0.48  % (12600)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Theorem for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (12600)------------------------------
% 0.18/0.48  % (12600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (12600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (12600)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (12600)Memory used [KB]: 6012
% 0.18/0.48  % (12600)Time elapsed: 0.084 s
% 0.18/0.48  % (12600)Instructions burned: 3 (million)
% 0.18/0.48  % (12600)------------------------------
% 0.18/0.48  % (12600)------------------------------
% 0.18/0.48  % (12571)Success in time 0.137 s
%------------------------------------------------------------------------------