%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n012.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 06:22:55 EDT 2022

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   3 nHn;  12 RR)
%            Number of literals    :   26 (   0 equ;  11 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    distinct_points(skc7,skc6),
    file('GEO173+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ apart_point_and_line(skc7,skc4),
    file('GEO173+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ apart_point_and_line(skc6,skc4),
    file('GEO173+1.p',unknown),
    [] ).

cnf(8,axiom,
    distinct_lines(skc4,line_connecting(skc7,skc6)),
    file('GEO173+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(u,line_connecting(u,v)) ),
    file('GEO173+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(v,line_connecting(u,v)) ),
    file('GEO173+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ distinct_lines(u,v)
    | ~ distinct_points(w,x)
    | apart_point_and_line(x,u)
    | apart_point_and_line(x,v)
    | apart_point_and_line(w,v)
    | apart_point_and_line(w,u) ),
    file('GEO173+1.p',unknown),
    [] ).

cnf(24,plain,
    ( ~ distinct_lines(u,v)
    | apart_point_and_line(skc6,u)
    | apart_point_and_line(skc6,v)
    | apart_point_and_line(skc7,v)
    | apart_point_and_line(skc7,u) ),
    inference(res,[status(thm),theory(equality)],[1,19]),
    [iquote('0:Res:1.0,19.0')] ).

cnf(26,plain,
    ~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
    inference(res,[status(thm),theory(equality)],[1,12]),
    [iquote('0:Res:1.0,12.0')] ).

cnf(27,plain,
    ~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
    inference(res,[status(thm),theory(equality)],[1,13]),
    [iquote('0:Res:1.0,13.0')] ).

cnf(226,plain,
    ( apart_point_and_line(skc6,skc4)
    | apart_point_and_line(skc6,line_connecting(skc7,skc6))
    | apart_point_and_line(skc7,line_connecting(skc7,skc6))
    | apart_point_and_line(skc7,skc4) ),
    inference(res,[status(thm),theory(equality)],[8,24]),
    [iquote('0:Res:8.0,24.0')] ).

cnf(251,plain,
    $false,
    inference(mrr,[status(thm)],[226,4,27,26,3]),
    [iquote('0:MRR:226.0,226.1,226.2,226.3,4.0,27.0,26.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem  : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.10  % Command  : run_spass %d %s
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 600
% 0.09/0.30  % DateTime : Sat Jun 18 01:48:08 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.14/0.37  
% 0.14/0.37  SPASS V 3.9 
% 0.14/0.37  SPASS beiseite: Proof found.
% 0.14/0.37  % SZS status Theorem
% 0.14/0.37  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.37  SPASS derived 219 clauses, backtracked 1 clauses, performed 1 splits and kept 154 clauses.
% 0.14/0.37  SPASS allocated 85224 KBytes.
% 0.14/0.37  SPASS spent	0:00:00.07 on the problem.
% 0.14/0.37  		0:00:00.02 for the input.
% 0.14/0.37  		0:00:00.02 for the FLOTTER CNF translation.
% 0.14/0.37  		0:00:00.00 for inferences.
% 0.14/0.37  		0:00:00.00 for the backtracking.
% 0.14/0.37  		0:00:00.01 for the reduction.
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  Here is a proof with depth 2, length 12 :
% 0.14/0.37  % SZS output start Refutation
% See solution above
% 0.14/0.37  Formulae used in the proof : con ci1 ci2 cu1
% 0.14/0.37  
%------------------------------------------------------------------------------