%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 06:23:45 EDT 2022

% Result   : Theorem 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   8 unt;   3 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 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(3,axiom,
    ~ unequally_directed_lines(u,u),
    file('GEO233+1.p',unknown),
    [] ).

cnf(5,axiom,
    ~ left_convergent_lines(u,v),
    file('GEO233+1.p',unknown),
    [] ).

cnf(6,axiom,
    unequally_directed_lines(reverse_line(reverse_line(skc1)),skc1),
    file('GEO233+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ unequally_directed_lines(u,v)
    | unequally_directed_lines(v,w)
    | unequally_directed_lines(u,w) ),
    file('GEO233+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v))
    | left_convergent_lines(u,v)
    | left_convergent_lines(u,reverse_line(v)) ),
    file('GEO233+1.p',unknown),
    [] ).

cnf(60,plain,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v)) ),
    inference(mrr,[status(thm)],[53,5]),
    [iquote('0:MRR:53.2,53.3,5.0,5.0')] ).

cnf(63,plain,
    ~ unequally_directed_lines(reverse_line(reverse_line(skc1)),reverse_line(skc1)),
    inference(res,[status(thm),theory(equality)],[6,60]),
    [iquote('0:Res:6.0,60.0')] ).

cnf(64,plain,
    ( unequally_directed_lines(skc1,u)
    | unequally_directed_lines(reverse_line(reverse_line(skc1)),u) ),
    inference(res,[status(thm),theory(equality)],[6,25]),
    [iquote('0:Res:6.0,25.0')] ).

cnf(71,plain,
    unequally_directed_lines(skc1,reverse_line(reverse_line(skc1))),
    inference(res,[status(thm),theory(equality)],[64,3]),
    [iquote('0:Res:64.1,3.0')] ).

cnf(72,plain,
    unequally_directed_lines(skc1,reverse_line(skc1)),
    inference(res,[status(thm),theory(equality)],[64,63]),
    [iquote('0:Res:64.1,63.0')] ).

cnf(82,plain,
    ~ unequally_directed_lines(skc1,reverse_line(skc1)),
    inference(res,[status(thm),theory(equality)],[71,60]),
    [iquote('0:Res:71.0,60.1')] ).

cnf(83,plain,
    $false,
    inference(mrr,[status(thm)],[82,72]),
    [iquote('0:MRR:82.0,72.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n029.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 13:47:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.18/0.44  SPASS allocated 97769 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.00 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 3, length 12 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : oag5 oag11 con oag6 oag9
% 0.18/0.44  
%------------------------------------------------------------------------------