%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO250+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_sat --cores 0 -t %d %s

% Computer : n009.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 16:12:28 EDT 2022

% Result   : Theorem 0.20s 0.49s
% 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       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  12   ~;   2   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(subsumption_resolution,[],[f138,f143]) ).

fof(f143,plain,
    ! [X0,X1] : ~ left_apart_point(X1,X0),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X1,reverse_line(X0))
      & ~ left_apart_point(X1,X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ~ ( left_apart_point(X1,X0)
        | left_apart_point(X1,reverse_line(X0)) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).

fof(f138,plain,
    left_apart_point(sK0,parallel_through_point(sK1,sK2)),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ( ~ left_apart_point(sK2,reverse_line(parallel_through_point(sK1,sK0)))
    & left_apart_point(sK0,parallel_through_point(sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).

fof(f109,plain,
    ( ? [X0,X1,X2] :
        ( ~ left_apart_point(X2,reverse_line(parallel_through_point(X1,X0)))
        & left_apart_point(X0,parallel_through_point(X1,X2)) )
   => ( ~ left_apart_point(sK2,reverse_line(parallel_through_point(sK1,sK0)))
      & left_apart_point(sK0,parallel_through_point(sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X2,reverse_line(parallel_through_point(X1,X0)))
      & left_apart_point(X0,parallel_through_point(X1,X2)) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ? [X1,X2,X0] :
      ( ~ left_apart_point(X0,reverse_line(parallel_through_point(X2,X1)))
      & left_apart_point(X1,parallel_through_point(X2,X0)) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X1,X2,X0] :
        ( left_apart_point(X1,parallel_through_point(X2,X0))
       => left_apart_point(X0,reverse_line(parallel_through_point(X2,X1))) ),
    inference(rectify,[],[f33]) ).

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

fof(f32,conjecture,
    ! [X0,X3,X1] :
      ( left_apart_point(X3,parallel_through_point(X1,X0))
     => left_apart_point(X0,reverse_line(parallel_through_point(X1,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO250+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:31:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (21801)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)
% 0.20/0.49  % (21801)First to succeed.
% 0.20/0.49  % (21825)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.49  % (21801)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (21801)------------------------------
% 0.20/0.49  % (21801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (21801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (21801)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (21801)Memory used [KB]: 5500
% 0.20/0.49  % (21801)Time elapsed: 0.096 s
% 0.20/0.49  % (21801)Instructions burned: 1 (million)
% 0.20/0.49  % (21801)------------------------------
% 0.20/0.49  % (21801)------------------------------
% 0.20/0.49  % (21794)Success in time 0.148 s
%------------------------------------------------------------------------------