%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO252+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 : n028.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 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   29 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (  10   ~;   3   |;  11   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(resolution,[],[f119,f140]) ).

fof(f140,plain,
    left_apart_point(sK1,sF3),
    inference(definition_folding,[],[f135,f139]) ).

fof(f139,plain,
    sF3 = reverse_line(sK2),
    introduced(function_definition,[]) ).

fof(f135,plain,
    left_apart_point(sK1,reverse_line(sK2)),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ? [X2,X1,X0] :
      ( left_apart_point(X2,X0)
      & left_apart_point(X1,reverse_line(X0))
      & ( ~ left_convergent_lines(line_connecting(X2,X1),X0)
        | ~ distinct_points(X2,X1) ) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ? [X0,X1,X2] :
      ( ( ~ left_convergent_lines(line_connecting(X2,X1),X0)
        | ~ distinct_points(X2,X1) )
      & left_apart_point(X2,X0)
      & left_apart_point(X1,reverse_line(X0)) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ~ ! [X0,X1,X2] :
        ( ( left_apart_point(X2,X0)
          & left_apart_point(X1,reverse_line(X0)) )
       => ( left_convergent_lines(line_connecting(X2,X1),X0)
          & distinct_points(X2,X1) ) ),
    inference(rectify,[],[f33]) ).

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

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

fof(f119,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13  % 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 : n028.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 21:43:47 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (32181)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)
% 0.20/0.50  % (32181)First to succeed.
% 0.20/0.50  % (32180)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (32180)Also succeeded, but the first one will report.
% 0.20/0.50  % (32181)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (32181)------------------------------
% 0.20/0.50  % (32181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (32181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (32181)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (32181)Memory used [KB]: 5500
% 0.20/0.50  % (32181)Time elapsed: 0.094 s
% 0.20/0.50  % (32181)Instructions burned: 3 (million)
% 0.20/0.50  % (32181)------------------------------
% 0.20/0.50  % (32181)------------------------------
% 0.20/0.50  % (32176)Success in time 0.15 s
%------------------------------------------------------------------------------