%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 06:22:52 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% 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(skc5,skc3),
    file('GEO170+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ apart_point_and_line(skc5,skc4),
    file('GEO170+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ apart_point_and_line(skc3,skc4),
    file('GEO170+1.p',unknown),
    [] ).

cnf(7,axiom,
    distinct_lines(skc4,line_connecting(skc5,skc3)),
    file('GEO170+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(u,line_connecting(u,v)) ),
    file('GEO170+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(v,line_connecting(u,v)) ),
    file('GEO170+1.p',unknown),
    [] ).

cnf(18,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('GEO170+1.p',unknown),
    [] ).

cnf(19,plain,
    ( ~ distinct_lines(u,v)
    | apart_point_and_line(skc3,u)
    | apart_point_and_line(skc3,v)
    | apart_point_and_line(skc5,v)
    | apart_point_and_line(skc5,u) ),
    inference(res,[status(thm),theory(equality)],[1,18]),
    [iquote('0:Res:1.0,18.0')] ).

cnf(21,plain,
    ~ apart_point_and_line(skc5,line_connecting(skc5,skc3)),
    inference(res,[status(thm),theory(equality)],[1,11]),
    [iquote('0:Res:1.0,11.0')] ).

cnf(22,plain,
    ~ apart_point_and_line(skc3,line_connecting(skc5,skc3)),
    inference(res,[status(thm),theory(equality)],[1,12]),
    [iquote('0:Res:1.0,12.0')] ).

cnf(185,plain,
    ( apart_point_and_line(skc3,skc4)
    | apart_point_and_line(skc3,line_connecting(skc5,skc3))
    | apart_point_and_line(skc5,line_connecting(skc5,skc3))
    | apart_point_and_line(skc5,skc4) ),
    inference(res,[status(thm),theory(equality)],[7,19]),
    [iquote('0:Res:7.0,19.0')] ).

cnf(189,plain,
    $false,
    inference(mrr,[status(thm)],[185,3,22,21,2]),
    [iquote('0:MRR:185.0,185.1,185.2,185.3,3.0,22.0,21.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n029.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 08:23:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 157 clauses, backtracked 0 clauses, performed 0 splits and kept 83 clauses.
% 0.20/0.45  SPASS allocated 85194 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.20/0.45  		0:00:00.03 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.01 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 2, length 12 :
% 0.20/0.45  % SZS output start Refutation
% See solution above
% 0.20/0.45  Formulae used in the proof : con ci1 ci2 cu1
% 0.20/0.45  
%------------------------------------------------------------------------------