%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 06:23:26 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     :    9 (   6 unt;   3 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    distinct_lines(skc3,skc4),
    file('GEO208+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ apart_point_and_line(skc5,skc3),
    file('GEO208+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ apart_point_and_line(skc5,skc4),
    file('GEO208+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ convergent_lines(skc3,skc4),
    file('GEO208+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ distinct_lines(u,v)
    | convergent_lines(u,v)
    | apart_point_and_line(w,v)
    | apart_point_and_line(w,u) ),
    file('GEO208+1.p',unknown),
    [] ).

cnf(22,plain,
    ( apart_point_and_line(u,skc3)
    | apart_point_and_line(u,skc4)
    | convergent_lines(skc3,skc4) ),
    inference(res,[status(thm),theory(equality)],[1,20]),
    [iquote('0:Res:1.0,20.0')] ).

cnf(45,plain,
    ( apart_point_and_line(u,skc4)
    | apart_point_and_line(u,skc3) ),
    inference(mrr,[status(thm)],[22,4]),
    [iquote('0:MRR:22.2,4.0')] ).

cnf(47,plain,
    apart_point_and_line(skc5,skc4),
    inference(res,[status(thm),theory(equality)],[45,2]),
    [iquote('0:Res:45.1,2.0')] ).

cnf(48,plain,
    $false,
    inference(mrr,[status(thm)],[47,3]),
    [iquote('0:MRR:47.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n004.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 11:28:23 EDT 2022
% 0.12/0.33  % 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 25 clauses, backtracked 0 clauses, performed 0 splits and kept 44 clauses.
% 0.19/0.43  SPASS allocated 85166 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.43  		0:00:00.04 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 2, length 9 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : con cup1
% 0.19/0.43  
%------------------------------------------------------------------------------