%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   4 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;   5 neg)
%            Maximal clause size   :    5 (   1 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,
    ~ apart_point_and_line(skc5,skc3),
    file('GEO210+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ unorthogonal_lines(skc3,skc4),
    file('GEO210+1.p',unknown),
    [] ).

cnf(6,axiom,
    distinct_lines(skc3,orthogonal_through_point(skc4,skc5)),
    file('GEO210+1.p',unknown),
    [] ).

cnf(10,axiom,
    ~ unorthogonal_lines(orthogonal_through_point(u,v),u),
    file('GEO210+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ apart_point_and_line(u,orthogonal_through_point(v,u)),
    file('GEO210+1.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ distinct_lines(u,v)
    | unorthogonal_lines(v,w)
    | unorthogonal_lines(u,w)
    | apart_point_and_line(x,v)
    | apart_point_and_line(x,u) ),
    file('GEO210+1.p',unknown),
    [] ).

cnf(43,plain,
    ( apart_point_and_line(u,skc3)
    | apart_point_and_line(u,orthogonal_through_point(skc4,skc5))
    | unorthogonal_lines(skc3,v)
    | unorthogonal_lines(orthogonal_through_point(skc4,skc5),v) ),
    inference(res,[status(thm),theory(equality)],[6,27]),
    [iquote('0:Res:6.0,27.0')] ).

cnf(56,plain,
    ( apart_point_and_line(skc5,orthogonal_through_point(skc4,skc5))
    | unorthogonal_lines(skc3,u)
    | unorthogonal_lines(orthogonal_through_point(skc4,skc5),u) ),
    inference(res,[status(thm),theory(equality)],[43,1]),
    [iquote('0:Res:43.0,1.0')] ).

cnf(74,plain,
    ( unorthogonal_lines(skc3,u)
    | unorthogonal_lines(orthogonal_through_point(skc4,skc5),u) ),
    inference(mrr,[status(thm)],[56,11]),
    [iquote('0:MRR:56.0,11.0')] ).

cnf(94,plain,
    unorthogonal_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[74,10]),
    [iquote('0:Res:74.1,10.0')] ).

cnf(95,plain,
    $false,
    inference(mrr,[status(thm)],[94,2]),
    [iquote('0:MRR:94.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n019.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 05:55:54 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 48 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.19/0.44  SPASS allocated 85200 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 11 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : con ooc1 ooc2 ouo1
% 0.19/0.44  
%------------------------------------------------------------------------------