%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %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  : 600s
% DateTime : Sat Jul 16 06:23:41 EDT 2022

% Result   : Theorem 0.21s 0.46s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   6 unt;   1 nHn;  11 RR)
%            Number of literals    :   18 (   0 equ;   9 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    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    convergent_lines(skc3,skc2),
    file('GEO226+2.p',unknown),
    [] ).

cnf(5,axiom,
    ~ distinct_points(u,u),
    file('GEO226+2.p',unknown),
    [] ).

cnf(8,axiom,
    ( apart_point_and_line(u,skc2)
    | apart_point_and_line(u,skc3) ),
    file('GEO226+2.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,u)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO226+2.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,v)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO226+2.p',unknown),
    [] ).

cnf(33,plain,
    ( ~ apart_point_and_line(u,skc3)
    | distinct_points(u,intersection_point(skc3,skc2)) ),
    inference(res,[status(thm),theory(equality)],[4,19]),
    [iquote('0:Res:4.0,19.1')] ).

cnf(34,plain,
    ( ~ apart_point_and_line(u,skc2)
    | distinct_points(u,intersection_point(skc3,skc2)) ),
    inference(res,[status(thm),theory(equality)],[4,20]),
    [iquote('0:Res:4.0,20.1')] ).

cnf(55,plain,
    ~ apart_point_and_line(intersection_point(skc3,skc2),skc2),
    inference(res,[status(thm),theory(equality)],[34,5]),
    [iquote('0:Res:34.1,5.0')] ).

cnf(58,plain,
    apart_point_and_line(intersection_point(skc3,skc2),skc3),
    inference(res,[status(thm),theory(equality)],[8,55]),
    [iquote('0:Res:8.0,55.0')] ).

cnf(61,plain,
    ~ apart_point_and_line(intersection_point(skc3,skc2),skc3),
    inference(res,[status(thm),theory(equality)],[33,5]),
    [iquote('0:Res:33.1,5.0')] ).

cnf(62,plain,
    $false,
    inference(mrr,[status(thm)],[61,58]),
    [iquote('0:MRR:61.0,58.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n016.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 : Fri Jun 17 20:46:21 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.46  
% 0.21/0.46  SPASS V 3.9 
% 0.21/0.46  SPASS beiseite: Proof found.
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.46  SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.21/0.46  SPASS allocated 97656 KBytes.
% 0.21/0.46  SPASS spent	0:00:00.09 on the problem.
% 0.21/0.46  		0:00:00.03 for the input.
% 0.21/0.46  		0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.46  		0:00:00.00 for inferences.
% 0.21/0.46  		0:00:00.00 for the backtracking.
% 0.21/0.46  		0:00:00.00 for the reduction.
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Here is a proof with depth 3, length 11 :
% 0.21/0.46  % SZS output start Refutation
% See solution above
% 0.21/0.46  Formulae used in the proof : con apart1 con2
% 0.21/0.46  
%------------------------------------------------------------------------------