%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO209+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 06:23:27 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (  10 unt;   4 nHn;  15 RR)
%            Number of literals    :   24 (   0 equ;   7 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    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    distinct_lines(skc4,skc5),
    file('GEO209+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ apart_point_and_line(skc7,skc4),
    file('GEO209+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ apart_point_and_line(skc7,skc5),
    file('GEO209+1.p',unknown),
    [] ).

cnf(5,axiom,
    ~ convergent_lines(skc5,skc6),
    file('GEO209+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ convergent_lines(skc4,skc6),
    file('GEO209+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ convergent_lines(u,v)
    | convergent_lines(v,w)
    | convergent_lines(u,w) ),
    file('GEO209+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ distinct_lines(u,v)
    | convergent_lines(u,v)
    | apart_point_and_line(w,v)
    | apart_point_and_line(w,u) ),
    file('GEO209+1.p',unknown),
    [] ).

cnf(24,plain,
    ( apart_point_and_line(u,skc5)
    | apart_point_and_line(u,skc4)
    | convergent_lines(skc4,skc5) ),
    inference(res,[status(thm),theory(equality)],[2,22]),
    [iquote('0:Res:2.0,22.0')] ).

cnf(30,plain,
    ( ~ convergent_lines(skc4,u)
    | convergent_lines(u,skc6) ),
    inference(res,[status(thm),theory(equality)],[14,6]),
    [iquote('0:Res:14.1,6.0')] ).

cnf(53,plain,
    ( apart_point_and_line(u,skc5)
    | apart_point_and_line(u,skc4) ),
    inference(spt,[spt(split,[position(s1)])],[24]),
    [iquote('1:Spt:24.0,24.1')] ).

cnf(54,plain,
    apart_point_and_line(skc7,skc5),
    inference(res,[status(thm),theory(equality)],[53,3]),
    [iquote('1:Res:53.1,3.0')] ).

cnf(55,plain,
    $false,
    inference(mrr,[status(thm)],[54,4]),
    [iquote('1:MRR:54.0,4.0')] ).

cnf(56,plain,
    convergent_lines(skc4,skc5),
    inference(spt,[spt(split,[position(s2)])],[24]),
    [iquote('1:Spt:55.0,24.2')] ).

cnf(60,plain,
    convergent_lines(skc5,skc6),
    inference(res,[status(thm),theory(equality)],[56,30]),
    [iquote('1:Res:56.0,30.0')] ).

cnf(61,plain,
    $false,
    inference(mrr,[status(thm)],[60,5]),
    [iquote('1:MRR:60.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 18:18:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 35 clauses, backtracked 2 clauses, performed 1 splits and kept 58 clauses.
% 0.19/0.44  SPASS allocated 85168 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 3, length 15 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : con ax6 cup1
% 0.19/0.44  
%------------------------------------------------------------------------------