%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO249+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_uns --cores 0 -t %d %s

% Computer : n016.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 16:09:30 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  14   ~;   2   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   28 (  19   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,plain,
    $false,
    inference(subsumption_resolution,[],[f123,f113]) ).

fof(f113,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,X1)
      & ~ left_apart_point(X0,reverse_line(X1)) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X1,X0] :
      ( ~ left_apart_point(X1,X0)
      & ~ left_apart_point(X1,reverse_line(X0)) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ~ ( left_apart_point(X1,reverse_line(X0))
        | left_apart_point(X1,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(f123,plain,
    left_apart_point(sK0,reverse_line(parallel_through_point(sK2,sK1))),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( left_apart_point(sK1,reverse_line(sK2))
    & left_apart_point(sK0,reverse_line(parallel_through_point(sK2,sK1)))
    & ~ left_apart_point(sK0,reverse_line(sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f93,f101]) ).

fof(f101,plain,
    ( ? [X0,X1,X2] :
        ( left_apart_point(X1,reverse_line(X2))
        & left_apart_point(X0,reverse_line(parallel_through_point(X2,X1)))
        & ~ left_apart_point(X0,reverse_line(X2)) )
   => ( left_apart_point(sK1,reverse_line(sK2))
      & left_apart_point(sK0,reverse_line(parallel_through_point(sK2,sK1)))
      & ~ left_apart_point(sK0,reverse_line(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ? [X0,X1,X2] :
      ( left_apart_point(X1,reverse_line(X2))
      & left_apart_point(X0,reverse_line(parallel_through_point(X2,X1)))
      & ~ left_apart_point(X0,reverse_line(X2)) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ? [X0,X2,X1] :
      ( ~ left_apart_point(X0,reverse_line(X2))
      & left_apart_point(X0,reverse_line(parallel_through_point(X2,X1)))
      & left_apart_point(X1,reverse_line(X2)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X2,X1] :
        ( ( left_apart_point(X0,reverse_line(parallel_through_point(X2,X1)))
          & left_apart_point(X1,reverse_line(X2)) )
       => left_apart_point(X0,reverse_line(X2)) ),
    inference(rectify,[],[f33]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO249+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n016.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 21:56:45 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.49  % (2544)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.49  % (2529)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (2537)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.49  % (2522)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  % (2533)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50  % (2516)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)
% 0.18/0.50  % (2534)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.50  % (2537)First to succeed.
% 0.18/0.50  % (2521)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50  % (2525)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (2518)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50  % (2526)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.50  % (2537)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  % (2537)------------------------------
% 0.18/0.50  % (2537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2537)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (2537)Memory used [KB]: 1535
% 0.18/0.50  % (2537)Time elapsed: 0.004 s
% 0.18/0.50  % (2537)Instructions burned: 3 (million)
% 0.18/0.50  % (2537)------------------------------
% 0.18/0.50  % (2537)------------------------------
% 0.18/0.50  % (2510)Success in time 0.166 s
%------------------------------------------------------------------------------