%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 06:23:24 EDT 2022

% Result   : Theorem 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   4 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ apart_point_and_line(skc5,skc3),
    file('GEO206+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ convergent_lines(skc3,skc4),
    file('GEO206+1.p',unknown),
    [] ).

cnf(6,axiom,
    distinct_lines(skc3,parallel_through_point(skc4,skc5)),
    file('GEO206+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ convergent_lines(parallel_through_point(u,v),u),
    file('GEO206+1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ apart_point_and_line(u,parallel_through_point(v,u)),
    file('GEO206+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ convergent_lines(u,v)
    | convergent_lines(v,w)
    | convergent_lines(u,w) ),
    file('GEO206+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ distinct_lines(u,v)
    | convergent_lines(u,v)
    | apart_point_and_line(w,v)
    | apart_point_and_line(w,u) ),
    file('GEO206+1.p',unknown),
    [] ).

cnf(22,plain,
    ( ~ convergent_lines(skc3,u)
    | convergent_lines(u,skc4) ),
    inference(res,[status(thm),theory(equality)],[11,2]),
    [iquote('0:Res:11.1,2.0')] ).

cnf(33,plain,
    ( apart_point_and_line(u,skc3)
    | apart_point_and_line(u,parallel_through_point(skc4,skc5))
    | convergent_lines(skc3,parallel_through_point(skc4,skc5)) ),
    inference(res,[status(thm),theory(equality)],[6,19]),
    [iquote('0:Res:6.0,19.0')] ).

cnf(45,plain,
    ( apart_point_and_line(skc5,parallel_through_point(skc4,skc5))
    | convergent_lines(skc3,parallel_through_point(skc4,skc5)) ),
    inference(res,[status(thm),theory(equality)],[33,1]),
    [iquote('0:Res:33.0,1.0')] ).

cnf(54,plain,
    convergent_lines(skc3,parallel_through_point(skc4,skc5)),
    inference(mrr,[status(thm)],[45,8]),
    [iquote('0:MRR:45.0,8.0')] ).

cnf(69,plain,
    convergent_lines(parallel_through_point(skc4,skc5),skc4),
    inference(res,[status(thm),theory(equality)],[54,22]),
    [iquote('0:Res:54.0,22.0')] ).

cnf(70,plain,
    $false,
    inference(mrr,[status(thm)],[69,7]),
    [iquote('0:MRR:69.0,7.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 02:05:29 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.46  
% 0.22/0.46  SPASS V 3.9 
% 0.22/0.46  SPASS beiseite: Proof found.
% 0.22/0.46  % SZS status Theorem
% 0.22/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.46  SPASS derived 34 clauses, backtracked 0 clauses, performed 0 splits and kept 40 clauses.
% 0.22/0.46  SPASS allocated 85166 KBytes.
% 0.22/0.46  SPASS spent	0:00:00.09 on the problem.
% 0.22/0.46  		0:00:00.03 for the input.
% 0.22/0.46  		0:00:00.03 for the FLOTTER CNF translation.
% 0.22/0.46  		0:00:00.00 for inferences.
% 0.22/0.46  		0:00:00.00 for the backtracking.
% 0.22/0.46  		0:00:00.00 for the reduction.
% 0.22/0.46  
% 0.22/0.46  
% 0.22/0.46  Here is a proof with depth 3, length 13 :
% 0.22/0.46  % SZS output start Refutation
% See solution above
% 0.22/0.46  Formulae used in the proof : con cp1 cp2 ax6 cup1
% 0.22/0.46  
%------------------------------------------------------------------------------