%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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  : 600s
% DateTime : Sat Jul 16 06:23:42 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   3 unt;   2 nHn;   9 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( unequally_directed_lines(skc2,skc3)
    | convergent_lines(skc2,skc3) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( unequally_directed_lines(skc2,reverse_line(skc3))
    | convergent_lines(skc2,skc3) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ convergent_lines(u,v)
    | unequally_directed_lines(u,v) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ convergent_lines(u,v)
    | unequally_directed_lines(u,reverse_line(v)) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(36,axiom,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v))
    | convergent_lines(u,v) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ convergent_lines(skc2,skc3)
    | ~ unequally_directed_lines(skc2,skc3)
    | ~ unequally_directed_lines(skc2,reverse_line(skc3)) ),
    file('GEO228+1.p',unknown),
    [] ).

cnf(60,plain,
    unequally_directed_lines(skc2,skc3),
    inference(mrr,[status(thm)],[7,13]),
    [iquote('0:MRR:7.1,13.0')] ).

cnf(61,plain,
    unequally_directed_lines(skc2,reverse_line(skc3)),
    inference(mrr,[status(thm)],[11,16]),
    [iquote('0:MRR:11.1,16.0')] ).

cnf(64,plain,
    $false,
    inference(mrr,[status(thm)],[40,36,60,61]),
    [iquote('0:MRR:40.0,40.1,40.2,36.2,60.0,61.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 08:39:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.18/0.45  SPASS allocated 97769 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.04 for the input.
% 0.18/0.45  		0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.00 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 0, length 9 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : con con_def
% 0.18/0.45  
%------------------------------------------------------------------------------