%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO269+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 06:24:05 EDT 2022

% Result   : Theorem 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   7 unt;   3 nHn;  15 RR)
%            Number of literals    :   25 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 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('GEO269+3.p',unknown),
    [] ).

cnf(5,axiom,
    ~ left_convergent_lines(u,v),
    file('GEO269+3.p',unknown),
    [] ).

cnf(6,axiom,
    ~ equally_directed_opposite_lines(skc1,reverse_line(skc1)),
    file('GEO269+3.p',unknown),
    [] ).

cnf(10,axiom,
    ( equally_directed_opposite_lines(u,v)
    | unequally_directed_opposite_lines(u,v) ),
    file('GEO269+3.p',unknown),
    [] ).

cnf(18,axiom,
    ( unequally_directed_lines(u,v)
    | unequally_directed_lines(u,reverse_line(v)) ),
    file('GEO269+3.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ unequally_directed_opposite_lines(u,v)
    | unequally_directed_lines(u,reverse_line(v)) ),
    file('GEO269+3.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ unequally_directed_lines(u,v)
    | ~ equally_directed_lines(u,v) ),
    file('GEO269+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('GEO269+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_opposite_lines(skc1,reverse_line(skc1)),
    inference(res,[status(thm),theory(equality)],[10,6]),
    [iquote('0:Res:10.1,6.0')] ).

cnf(82,plain,
    ~ unequally_directed_lines(u,u),
    inference(res,[status(thm),theory(equality)],[1,25]),
    [iquote('0:Res:1.0,25.1')] ).

cnf(98,plain,
    ( ~ unequally_directed_opposite_lines(u,v)
    | ~ unequally_directed_lines(u,v) ),
    inference(res,[status(thm),theory(equality)],[19,70]),
    [iquote('0:Res:19.1,70.1')] ).

cnf(126,plain,
    ( ~ unequally_directed_opposite_lines(u,reverse_line(v))
    | unequally_directed_lines(u,v) ),
    inference(res,[status(thm),theory(equality)],[18,98]),
    [iquote('0:Res:18.1,98.1')] ).

cnf(132,plain,
    unequally_directed_lines(skc1,skc1),
    inference(res,[status(thm),theory(equality)],[72,126]),
    [iquote('0:Res:72.0,126.0')] ).

cnf(140,plain,
    $false,
    inference(mrr,[status(thm)],[132,82]),
    [iquote('0:MRR:132.0,82.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO269+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n023.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 20:42:19 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/sandbox/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 87 clauses.
% 0.18/0.44  SPASS allocated 97775 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.44  		0:00:00.03 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 15 :
% 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 a5_defns ax8_basics a1_defns a4_defns ax9_basics
% 0.18/0.44  
%------------------------------------------------------------------------------