TSTP Solution File: GEO256+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO256+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_sat --cores 0 -t %d %s

% Computer : n008.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 16:12:29 EDT 2022

% Result   : Theorem 0.75s 0.58s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :   77 (  19   ~;   5   |;  46   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   43 (  23   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f183,plain,
    $false,
    inference(resolution,[],[f181,f173]) ).

fof(f173,plain,
    left_apart_point(sK0,sK4),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ~ before_on_line(sK4,sK1,sK3)
    & before_on_line(sK4,sK2,sK3)
    & incident_point_and_line(sK1,sK4)
    & distinct_points(sK3,sK1)
    & ~ before_on_line(sK4,sK2,sK1)
    & left_apart_point(sK0,sK4)
    & distinct_points(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ~ before_on_line(X4,X1,X3)
        & before_on_line(X4,X2,X3)
        & incident_point_and_line(X1,X4)
        & distinct_points(X3,X1)
        & ~ before_on_line(X4,X2,X1)
        & left_apart_point(X0,X4)
        & distinct_points(X2,X1) )
   => ( ~ before_on_line(sK4,sK1,sK3)
      & before_on_line(sK4,sK2,sK3)
      & incident_point_and_line(sK1,sK4)
      & distinct_points(sK3,sK1)
      & ~ before_on_line(sK4,sK2,sK1)
      & left_apart_point(sK0,sK4)
      & distinct_points(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ before_on_line(X4,X1,X3)
      & before_on_line(X4,X2,X3)
      & incident_point_and_line(X1,X4)
      & distinct_points(X3,X1)
      & ~ before_on_line(X4,X2,X1)
      & left_apart_point(X0,X4)
      & distinct_points(X2,X1) ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ? [X1,X4,X3,X0,X2] :
      ( ~ before_on_line(X2,X4,X0)
      & before_on_line(X2,X3,X0)
      & incident_point_and_line(X4,X2)
      & distinct_points(X0,X4)
      & ~ before_on_line(X2,X3,X4)
      & left_apart_point(X1,X2)
      & distinct_points(X3,X4) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ? [X0,X3,X1,X2,X4] :
      ( ~ before_on_line(X2,X3,X4)
      & ~ before_on_line(X2,X4,X0)
      & before_on_line(X2,X3,X0)
      & left_apart_point(X1,X2)
      & distinct_points(X0,X4)
      & distinct_points(X3,X4)
      & incident_point_and_line(X4,X2) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0,X3,X1,X2,X4] :
        ( ( left_apart_point(X1,X2)
          & distinct_points(X0,X4)
          & distinct_points(X3,X4)
          & incident_point_and_line(X4,X2) )
       => ( before_on_line(X2,X3,X0)
         => ( before_on_line(X2,X3,X4)
            | before_on_line(X2,X4,X0) ) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X5,X8,X3,X2,X6] :
        ( ( distinct_points(X5,X6)
          & distinct_points(X2,X6)
          & left_apart_point(X8,X3)
          & incident_point_and_line(X6,X3) )
       => ( before_on_line(X3,X2,X5)
         => ( before_on_line(X3,X6,X5)
            | before_on_line(X3,X2,X6) ) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X5,X8,X3,X2,X6] :
      ( ( distinct_points(X5,X6)
        & distinct_points(X2,X6)
        & left_apart_point(X8,X3)
        & incident_point_and_line(X6,X3) )
     => ( before_on_line(X3,X2,X5)
       => ( before_on_line(X3,X6,X5)
          | before_on_line(X3,X2,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f181,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,X1)
        | left_apart_point(X0,reverse_line(X1)) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X3] :
      ~ ( left_apart_point(X2,X3)
        | left_apart_point(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : GEO256+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_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 29 21:38:40 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  ipcrm: permission denied for id (721977347)
% 0.11/0.34  ipcrm: permission denied for id (722010118)
% 0.11/0.35  ipcrm: permission denied for id (722042894)
% 0.11/0.36  ipcrm: permission denied for id (722108433)
% 0.11/0.36  ipcrm: permission denied for id (722206743)
% 0.11/0.39  ipcrm: permission denied for id (722370601)
% 0.17/0.39  ipcrm: permission denied for id (722468910)
% 0.17/0.40  ipcrm: permission denied for id (722534449)
% 0.17/0.40  ipcrm: permission denied for id (722599987)
% 0.17/0.40  ipcrm: permission denied for id (722632756)
% 0.17/0.40  ipcrm: permission denied for id (722763832)
% 0.17/0.41  ipcrm: permission denied for id (722862143)
% 0.17/0.42  ipcrm: permission denied for id (722927682)
% 0.17/0.42  ipcrm: permission denied for id (722993223)
% 0.17/0.43  ipcrm: permission denied for id (723091537)
% 0.17/0.44  ipcrm: permission denied for id (723157076)
% 0.17/0.44  ipcrm: permission denied for id (723222617)
% 0.17/0.44  ipcrm: permission denied for id (723288157)
% 0.17/0.45  ipcrm: permission denied for id (723353696)
% 0.17/0.45  ipcrm: permission denied for id (723452009)
% 0.17/0.46  ipcrm: permission denied for id (723517549)
% 0.17/0.46  ipcrm: permission denied for id (723583088)
% 0.17/0.47  ipcrm: permission denied for id (723615864)
% 0.17/0.47  ipcrm: permission denied for id (723648633)
% 0.17/0.47  ipcrm: permission denied for id (723714175)
% 0.63/0.56  % (26208)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.75/0.56  TRYING [1]
% 0.75/0.57  % (26224)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 0.75/0.57  % (26216)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.75/0.57  TRYING [2]
% 0.75/0.58  TRYING [3]
% 0.75/0.58  TRYING [4]
% 0.75/0.58  % (26224)First to succeed.
% 0.75/0.58  % (26224)Refutation found. Thanks to Tanya!
% 0.75/0.58  % SZS status Theorem for theBenchmark
% 0.75/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.58  % (26224)------------------------------
% 0.75/0.58  % (26224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.75/0.58  % (26224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.75/0.58  % (26224)Termination reason: Refutation
% 0.75/0.58  
% 0.75/0.58  % (26224)Memory used [KB]: 1023
% 0.75/0.58  % (26224)Time elapsed: 0.078 s
% 0.75/0.58  % (26224)Instructions burned: 2 (million)
% 0.75/0.58  % (26224)------------------------------
% 0.75/0.58  % (26224)------------------------------
% 0.75/0.58  % (26012)Success in time 0.249 s
%------------------------------------------------------------------------------