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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n027.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 16:12:25 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   5 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   62 (  19   ~;  17   |;  18   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   46 (  38   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f227,plain,
    $false,
    inference(avatar_sat_refutation,[],[f212,f222,f226]) ).

fof(f226,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | ~ spl4_1 ),
    inference(resolution,[],[f207,f156]) ).

fof(f156,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,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,X3)
        | left_apart_point(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).

fof(f207,plain,
    ( left_apart_point(sK1,sK2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl4_1
  <=> left_apart_point(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f222,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | ~ spl4_2 ),
    inference(resolution,[],[f211,f156]) ).

fof(f211,plain,
    ( left_apart_point(sK0,sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl4_2
  <=> left_apart_point(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f212,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f202,f209,f205]) ).

fof(f202,plain,
    ( left_apart_point(sK0,sK2)
    | left_apart_point(sK1,sK2) ),
    inference(resolution,[],[f138,f129]) ).

fof(f129,plain,
    divides_points(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ? [X0,X2,X1,X3] :
      ( divides_points(X1,X0,X3)
      & divides_points(X1,X0,X2)
      & divides_points(X1,X2,X3) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ? [X3,X2,X1,X0] :
      ( divides_points(X1,X2,X3)
      & divides_points(X1,X0,X2)
      & divides_points(X1,X0,X3) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ~ ! [X3,X2,X1,X0] :
        ( ( divides_points(X1,X0,X2)
          & divides_points(X1,X0,X3) )
       => ~ divides_points(X1,X2,X3) ),
    inference(rectify,[],[f38]) ).

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

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

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ divides_points(X2,X0,X1)
      | left_apart_point(X1,X2)
      | left_apart_point(X0,X2) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ divides_points(X2,X0,X1)
      | ( right_apart_point(X1,X2)
        & left_apart_point(X0,X2) )
      | ( left_apart_point(X1,X2)
        & right_apart_point(X0,X2) ) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( left_apart_point(X1,X2)
        & right_apart_point(X0,X2) )
      | ( right_apart_point(X1,X2)
        & left_apart_point(X0,X2) )
      | ~ divides_points(X2,X0,X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( divides_points(X2,X0,X1)
     => ( ( left_apart_point(X1,X2)
          & right_apart_point(X0,X2) )
        | ( right_apart_point(X1,X2)
          & left_apart_point(X0,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( ( left_apart_point(X1,X2)
          & right_apart_point(X0,X2) )
        | ( right_apart_point(X1,X2)
          & left_apart_point(X0,X2) ) )
    <=> divides_points(X2,X0,X1) ),
    inference(rectify,[],[f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.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 21:47:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (26558)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (26560)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.49  % (26573)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.49  % (26576)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.49  % (26559)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (26579)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.50  % (26558)First to succeed.
% 0.18/0.50  % (26558)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (26558)------------------------------
% 0.18/0.50  % (26558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (26558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (26558)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (26558)Memory used [KB]: 5500
% 0.18/0.50  % (26558)Time elapsed: 0.106 s
% 0.18/0.50  % (26558)Instructions burned: 5 (million)
% 0.18/0.50  % (26558)------------------------------
% 0.18/0.50  % (26558)------------------------------
% 0.18/0.50  % (26552)Success in time 0.16 s
%------------------------------------------------------------------------------