%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 06:22:56 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% 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+3.p',unknown),
    [] ).

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

cnf(4,axiom,
    ~ apart_point_and_line(skc6,skc4),
    file('GEO173+3.p',unknown),
    [] ).

cnf(8,axiom,
    distinct_lines(skc4,line_connecting(skc7,skc6)),
    file('GEO173+3.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(u,line_connecting(u,v)) ),
    file('GEO173+3.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(v,line_connecting(u,v)) ),
    file('GEO173+3.p',unknown),
    [] ).

cnf(51,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+3.p',unknown),
    [] ).

cnf(64,plain,
    ~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
    inference(res,[status(thm),theory(equality)],[1,33]),
    [iquote('0:Res:1.0,33.0')] ).

cnf(65,plain,
    ~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
    inference(res,[status(thm),theory(equality)],[1,34]),
    [iquote('0:Res:1.0,34.0')] ).

cnf(89,plain,
    ( ~ distinct_points(u,v)
    | apart_point_and_line(v,skc4)
    | apart_point_and_line(u,skc4)
    | apart_point_and_line(v,line_connecting(skc7,skc6))
    | apart_point_and_line(u,line_connecting(skc7,skc6)) ),
    inference(res,[status(thm),theory(equality)],[8,51]),
    [iquote('0:Res:8.0,51.1')] ).

cnf(92,plain,
    ( apart_point_and_line(skc7,skc4)
    | apart_point_and_line(skc7,line_connecting(skc7,skc6))
    | apart_point_and_line(skc6,line_connecting(skc7,skc6))
    | apart_point_and_line(skc6,skc4) ),
    inference(res,[status(thm),theory(equality)],[1,89]),
    [iquote('0:Res:1.0,89.0')] ).

cnf(139,plain,
    $false,
    inference(mrr,[status(thm)],[92,3,64,65,4]),
    [iquote('0:MRR:92.0,92.1,92.2,92.3,3.0,64.0,65.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 10:20:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 70 clauses, backtracked 0 clauses, performed 0 splits and kept 91 clauses.
% 0.18/0.43  SPASS allocated 97754 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.00 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 2, length 12 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : con ci1 ci2 cu1
% 0.18/0.43  
%------------------------------------------------------------------------------