%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 06:22:58 EDT 2022

% Result   : Theorem 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   5 unt;   1 nHn;  10 RR)
%            Number of literals    :   17 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   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(2,axiom,
    convergent_lines(skc4,skc5),
    file('GEO176+2.p',unknown),
    [] ).

cnf(6,axiom,
    ~ distinct_points(skc6,intersection_point(skc4,skc5)),
    file('GEO176+2.p',unknown),
    [] ).

cnf(7,axiom,
    ( apart_point_and_line(skc6,skc4)
    | apart_point_and_line(skc6,skc5) ),
    file('GEO176+2.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,u)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO176+2.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,v)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO176+2.p',unknown),
    [] ).

cnf(31,plain,
    ( ~ apart_point_and_line(skc6,skc5)
    | ~ convergent_lines(skc4,skc5) ),
    inference(res,[status(thm),theory(equality)],[17,6]),
    [iquote('0:Res:17.2,6.0')] ).

cnf(32,plain,
    ( ~ apart_point_and_line(skc6,skc4)
    | ~ convergent_lines(skc4,skc5) ),
    inference(res,[status(thm),theory(equality)],[16,6]),
    [iquote('0:Res:16.2,6.0')] ).

cnf(34,plain,
    ~ apart_point_and_line(skc6,skc5),
    inference(mrr,[status(thm)],[31,2]),
    [iquote('0:MRR:31.1,2.0')] ).

cnf(35,plain,
    apart_point_and_line(skc6,skc4),
    inference(mrr,[status(thm)],[7,34]),
    [iquote('0:MRR:7.1,34.0')] ).

cnf(36,plain,
    $false,
    inference(mrr,[status(thm)],[32,35,2]),
    [iquote('0:MRR:32.0,32.1,35.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 01:41:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 24 clauses.
% 0.19/0.43  SPASS allocated 85141 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.19/0.43  		0:00:00.03 for the input.
% 0.19/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.00 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 1, length 10 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : con con2
% 0.19/0.43  
%------------------------------------------------------------------------------