%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 06:23:26 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   1 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    parallel_lines(skc3,skc4),
    file('GEO208+3.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal_lines(skc3,skc4),
    file('GEO208+3.p',unknown),
    [] ).

cnf(17,axiom,
    ( equal_lines(u,v)
    | distinct_lines(u,v) ),
    file('GEO208+3.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ distinct_lines(u,v)
    | convergent_lines(u,v) ),
    file('GEO208+3.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ convergent_lines(u,v)
    | ~ parallel_lines(u,v) ),
    file('GEO208+3.p',unknown),
    [] ).

cnf(51,plain,
    ~ convergent_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[3,26]),
    [iquote('0:Res:3.0,26.0')] ).

cnf(54,plain,
    distinct_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[17,4]),
    [iquote('0:Res:17.1,4.0')] ).

cnf(67,plain,
    ~ distinct_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[21,51]),
    [iquote('0:Res:21.1,51.0')] ).

cnf(70,plain,
    $false,
    inference(mrr,[status(thm)],[67,54]),
    [iquote('0:MRR:67.0,54.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.09  % Command  : run_spass %d %s
% 0.08/0.28  % Computer : n004.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Fri Jun 17 22:20:53 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.13/0.37  
% 0.13/0.37  SPASS V 3.9 
% 0.13/0.37  SPASS beiseite: Proof found.
% 0.13/0.37  % SZS status Theorem
% 0.13/0.37  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.13/0.37  SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 61 clauses.
% 0.13/0.37  SPASS allocated 97737 KBytes.
% 0.13/0.37  SPASS spent	0:00:00.08 on the problem.
% 0.13/0.37  		0:00:00.03 for the input.
% 0.13/0.37  		0:00:00.03 for the FLOTTER CNF translation.
% 0.13/0.37  		0:00:00.00 for inferences.
% 0.13/0.37  		0:00:00.00 for the backtracking.
% 0.13/0.37  		0:00:00.00 for the reduction.
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  Here is a proof with depth 2, length 9 :
% 0.13/0.37  % SZS output start Refutation
% See solution above
% 0.13/0.37  Formulae used in the proof : con ax2 p1 a3
% 0.13/0.37  
%------------------------------------------------------------------------------