%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 06:23:34 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   8 unt;   2 nHn;  12 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 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,
    convergent_lines(skc3,skc4),
    file('GEO217+2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ convergent_lines(skc5,skc3),
    file('GEO217+2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ convergent_lines(skc5,skc4),
    file('GEO217+2.p',unknown),
    [] ).

cnf(6,axiom,
    ~ convergent_lines(u,u),
    file('GEO217+2.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ convergent_lines(u,v)
    | convergent_lines(v,w)
    | convergent_lines(u,w) ),
    file('GEO217+2.p',unknown),
    [] ).

cnf(24,plain,
    ( convergent_lines(skc4,u)
    | convergent_lines(skc3,u) ),
    inference(res,[status(thm),theory(equality)],[1,13]),
    [iquote('0:Res:1.0,13.0')] ).

cnf(33,plain,
    ( ~ convergent_lines(u,skc5)
    | convergent_lines(u,skc4) ),
    inference(res,[status(thm),theory(equality)],[13,3]),
    [iquote('0:Res:13.2,3.0')] ).

cnf(37,plain,
    ( ~ convergent_lines(u,skc5)
    | convergent_lines(u,skc3) ),
    inference(res,[status(thm),theory(equality)],[13,2]),
    [iquote('0:Res:13.2,2.0')] ).

cnf(58,plain,
    ~ convergent_lines(skc3,skc5),
    inference(res,[status(thm),theory(equality)],[37,6]),
    [iquote('0:Res:37.1,6.0')] ).

cnf(63,plain,
    convergent_lines(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[24,58]),
    [iquote('0:Res:24.1,58.0')] ).

cnf(77,plain,
    ~ convergent_lines(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[33,6]),
    [iquote('0:Res:33.1,6.0')] ).

cnf(81,plain,
    $false,
    inference(mrr,[status(thm)],[77,63]),
    [iquote('0:MRR:77.0,63.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n027.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 11:56:37 EDT 2022
% 0.13/0.34  % 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/sandbox/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 57 clauses, backtracked 0 clauses, performed 0 splits and kept 56 clauses.
% 0.19/0.44  SPASS allocated 85152 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  		0:00:00.00 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 apart3 apart6
% 0.19/0.44  
%------------------------------------------------------------------------------