%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 06:23:48 EDT 2022

% Result   : Theorem 0.17s 0.44s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    apart_point_and_line(skc4,skc5),
    file('GEO237+3.p',unknown),
    [] ).

cnf(6,axiom,
    ~ left_apart_point(u,v),
    file('GEO237+3.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ right_apart_point(u,v)
    | left_apart_point(u,reverse_line(v)) ),
    file('GEO237+3.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ apart_point_and_line(u,v)
    | left_apart_point(u,v)
    | right_apart_point(u,v) ),
    file('GEO237+3.p',unknown),
    [] ).

cnf(70,plain,
    ~ right_apart_point(u,v),
    inference(mrr,[status(thm)],[24,6]),
    [iquote('0:MRR:24.1,6.0')] ).

cnf(71,plain,
    ~ apart_point_and_line(u,v),
    inference(mrr,[status(thm)],[34,6,70]),
    [iquote('0:MRR:34.1,34.2,6.0,70.0')] ).

cnf(72,plain,
    $false,
    inference(unc,[status(thm)],[71,1]),
    [iquote('0:UnC:71.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n021.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
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jun 18 13:54:16 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  
% 0.17/0.44  SPASS V 3.9 
% 0.17/0.44  SPASS beiseite: Proof found.
% 0.17/0.44  % SZS status Theorem
% 0.17/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.17/0.44  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 39 clauses.
% 0.17/0.44  SPASS allocated 97779 KBytes.
% 0.17/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.17/0.44  		0:00:00.04 for the input.
% 0.17/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.44  		0:00:00.00 for inferences.
% 0.17/0.44  		0:00:00.00 for the backtracking.
% 0.17/0.44  		0:00:00.00 for the reduction.
% 0.17/0.44  
% 0.17/0.44  
% 0.17/0.44  Here is a proof with depth 0, length 7 :
% 0.17/0.44  % SZS output start Refutation
% See solution above
% 0.17/0.44  Formulae used in the proof : con ax10_basics a2_defns a6_defns
% 0.17/0.44  
%------------------------------------------------------------------------------