%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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      :    7
% Syntax   : Number of clauses     :   13 (   7 unt;   3 nHn;  13 RR)
%            Number of literals    :   21 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equally_directed_lines(u,u),
    file('GEO233+3.p',unknown),
    [] ).

cnf(5,axiom,
    ~ left_convergent_lines(u,v),
    file('GEO233+3.p',unknown),
    [] ).

cnf(8,axiom,
    ~ equally_directed_lines(reverse_line(reverse_line(skc1)),skc1),
    file('GEO233+3.p',unknown),
    [] ).

cnf(9,axiom,
    ( equally_directed_lines(u,v)
    | unequally_directed_lines(u,v) ),
    file('GEO233+3.p',unknown),
    [] ).

cnf(18,axiom,
    ( unequally_directed_lines(u,v)
    | unequally_directed_lines(u,reverse_line(v)) ),
    file('GEO233+3.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ unequally_directed_lines(u,v)
    | ~ equally_directed_lines(u,v) ),
    file('GEO233+3.p',unknown),
    [] ).

cnf(61,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+3.p',unknown),
    [] ).

cnf(70,plain,
    ( ~ unequally_directed_lines(u,v)
    | ~ unequally_directed_lines(u,reverse_line(v)) ),
    inference(mrr,[status(thm)],[61,5]),
    [iquote('0:MRR:61.2,61.3,5.0,5.0')] ).

cnf(72,plain,
    unequally_directed_lines(reverse_line(reverse_line(skc1)),skc1),
    inference(res,[status(thm),theory(equality)],[9,8]),
    [iquote('0:Res:9.1,8.0')] ).

cnf(87,plain,
    ( ~ equally_directed_lines(u,reverse_line(v))
    | unequally_directed_lines(u,v) ),
    inference(res,[status(thm),theory(equality)],[18,25]),
    [iquote('0:Res:18.1,25.0')] ).

cnf(90,plain,
    unequally_directed_lines(reverse_line(u),u),
    inference(res,[status(thm),theory(equality)],[1,87]),
    [iquote('0:Res:1.0,87.0')] ).

cnf(104,plain,
    ~ unequally_directed_lines(reverse_line(reverse_line(u)),u),
    inference(res,[status(thm),theory(equality)],[90,70]),
    [iquote('0:Res:90.0,70.1')] ).

cnf(111,plain,
    $false,
    inference(unc,[status(thm)],[104,72]),
    [iquote('0:UnC:104.0,72.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n016.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 : Fri Jun 17 17:51:36 EDT 2022
% 0.12/0.34  % 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 36 clauses, backtracked 0 clauses, performed 0 splits and kept 77 clauses.
% 0.18/0.44  SPASS allocated 97777 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.10 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 13 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : ax5_basics ax11_basics con a4_defns ax8_basics ax9_basics
% 0.18/0.44  
%------------------------------------------------------------------------------