%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:36 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   3 nHn;  12 RR)
%            Number of literals    :   17 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    orthogonal_lines(skc5,skc3),
    file('GEO220+3.p',unknown),
    [] ).

cnf(2,axiom,
    orthogonal_lines(skc5,skc4),
    file('GEO220+3.p',unknown),
    [] ).

cnf(3,axiom,
    ~ parallel_lines(skc3,skc4),
    file('GEO220+3.p',unknown),
    [] ).

cnf(17,axiom,
    ( parallel_lines(u,v)
    | convergent_lines(u,v) ),
    file('GEO220+3.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ unorthogonal_lines(u,v)
    | ~ orthogonal_lines(u,v) ),
    file('GEO220+3.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ convergent_lines(u,v)
    | unorthogonal_lines(w,v)
    | unorthogonal_lines(w,u) ),
    file('GEO220+3.p',unknown),
    [] ).

cnf(50,plain,
    ~ unorthogonal_lines(skc5,skc4),
    inference(res,[status(thm),theory(equality)],[2,27]),
    [iquote('0:Res:2.0,27.0')] ).

cnf(51,plain,
    ~ unorthogonal_lines(skc5,skc3),
    inference(res,[status(thm),theory(equality)],[1,27]),
    [iquote('0:Res:1.0,27.0')] ).

cnf(52,plain,
    convergent_lines(skc3,skc4),
    inference(res,[status(thm),theory(equality)],[17,3]),
    [iquote('0:Res:17.1,3.0')] ).

cnf(129,plain,
    ( unorthogonal_lines(u,skc4)
    | unorthogonal_lines(u,skc3) ),
    inference(res,[status(thm),theory(equality)],[52,39]),
    [iquote('0:Res:52.0,39.0')] ).

cnf(135,plain,
    unorthogonal_lines(skc5,skc4),
    inference(res,[status(thm),theory(equality)],[129,51]),
    [iquote('0:Res:129.1,51.0')] ).

cnf(137,plain,
    $false,
    inference(mrr,[status(thm)],[135,50]),
    [iquote('0:MRR:135.0,50.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 20:07:13 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 83 clauses, backtracked 0 clauses, performed 0 splits and kept 104 clauses.
% 0.19/0.44  SPASS allocated 97738 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.01 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 3, length 12 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : con a3 a5 couo1
% 0.19/0.44  
%------------------------------------------------------------------------------