%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO235+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 : n003.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 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   32 (  12   ~;   2   |;  14   &)
%                                         (   0 <=>;   4  =>;   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    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(resolution,[],[f117,f98]) ).

fof(f98,plain,
    left_apart_point(sK0,sK1),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ~ distinct_points(sK0,sK2)
    & left_apart_point(sK0,sK1)
    & right_apart_point(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f67,f81]) ).

fof(f81,plain,
    ( ? [X0,X1,X2] :
        ( ~ distinct_points(X0,X2)
        & left_apart_point(X0,X1)
        & right_apart_point(X2,X1) )
   => ( ~ distinct_points(sK0,sK2)
      & left_apart_point(sK0,sK1)
      & right_apart_point(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ? [X0,X1,X2] :
      ( ~ distinct_points(X0,X2)
      & left_apart_point(X0,X1)
      & right_apart_point(X2,X1) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ? [X2,X1,X0] :
      ( ~ distinct_points(X0,X2)
      & right_apart_point(X2,X1)
      & left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ! [X2,X1,X0] :
        ( ( right_apart_point(X2,X1)
          & left_apart_point(X0,X1) )
       => distinct_points(X0,X2) ),
    inference(rectify,[],[f38]) ).

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

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

fof(f117,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,X1)
      & ~ left_apart_point(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,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
% 0.03/0.12  % Problem    : GEO235+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:32:52 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (6491)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (6507)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51  % (6499)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (6491)First to succeed.
% 0.20/0.52  % (6491)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (6491)------------------------------
% 0.20/0.52  % (6491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6491)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (6491)Memory used [KB]: 5884
% 0.20/0.52  % (6491)Time elapsed: 0.111 s
% 0.20/0.52  % (6491)Instructions burned: 2 (million)
% 0.20/0.52  % (6491)------------------------------
% 0.20/0.52  % (6491)------------------------------
% 0.20/0.52  % (6484)Success in time 0.159 s
%------------------------------------------------------------------------------