%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n005.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 06:23:24 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   9 unt;   3 nHn;  14 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    parallel_lines(skc3,skc4),
    file('GEO206+3.p',unknown),
    [] ).

cnf(6,axiom,
    ~ equal_lines(skc3,parallel_through_point(skc4,skc5)),
    file('GEO206+3.p',unknown),
    [] ).

cnf(7,axiom,
    ~ convergent_lines(parallel_through_point(u,v),u),
    file('GEO206+3.p',unknown),
    [] ).

cnf(16,axiom,
    ( equal_lines(u,v)
    | distinct_lines(u,v) ),
    file('GEO206+3.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ distinct_lines(u,v)
    | convergent_lines(u,v) ),
    file('GEO206+3.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ convergent_lines(u,v)
    | ~ parallel_lines(u,v) ),
    file('GEO206+3.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ distinct_lines(u,v)
    | distinct_lines(v,w)
    | distinct_lines(u,w) ),
    file('GEO206+3.p',unknown),
    [] ).

cnf(50,plain,
    ~ convergent_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[2,25]),
    [iquote('0:Res:2.0,25.0')] ).

cnf(52,plain,
    distinct_lines(skc3,parallel_through_point(skc4,skc5)),
    inference(res,[status(thm),theory(equality)],[16,6]),
    [iquote('0:Res:16.1,6.0')] ).

cnf(65,plain,
    ~ distinct_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[20,50]),
    [iquote('0:Res:20.1,50.0')] ).

cnf(67,plain,
    ~ distinct_lines(parallel_through_point(u,v),u),
    inference(res,[status(thm),theory(equality)],[20,7]),
    [iquote('0:Res:20.1,7.0')] ).

cnf(94,plain,
    ( distinct_lines(parallel_through_point(skc4,skc5),u)
    | distinct_lines(skc3,u) ),
    inference(res,[status(thm),theory(equality)],[52,29]),
    [iquote('0:Res:52.0,29.0')] ).

cnf(97,plain,
    distinct_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[94,67]),
    [iquote('0:Res:94.0,67.0')] ).

cnf(98,plain,
    $false,
    inference(mrr,[status(thm)],[97,65]),
    [iquote('0:MRR:97.0,65.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 15:31:38 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/sandbox/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 44 clauses, backtracked 0 clauses, performed 0 splits and kept 74 clauses.
% 0.18/0.43  SPASS allocated 97735 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 3, length 14 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : con cp1 ax2 p1 a3 apart5
% 0.18/0.43  
%------------------------------------------------------------------------------