%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO226+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 06:23:41 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     :   11 (   7 unt;   1 nHn;  11 RR)
%            Number of literals    :   15 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    convergent_lines(skc3,skc2),
    file('GEO226+3.p',unknown),
    [] ).

cnf(19,axiom,
    ( incident_point_and_line(u,v)
    | apart_point_and_line(u,v) ),
    file('GEO226+3.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ incident_point_and_line(u,skc2)
    | ~ incident_point_and_line(u,skc3) ),
    file('GEO226+3.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(intersection_point(u,v),u) ),
    file('GEO226+3.p',unknown),
    [] ).

cnf(36,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(intersection_point(u,v),v) ),
    file('GEO226+3.p',unknown),
    [] ).

cnf(61,plain,
    ~ apart_point_and_line(intersection_point(skc3,skc2),skc3),
    inference(res,[status(thm),theory(equality)],[4,35]),
    [iquote('0:Res:4.0,35.0')] ).

cnf(62,plain,
    ~ apart_point_and_line(intersection_point(skc3,skc2),skc2),
    inference(res,[status(thm),theory(equality)],[4,36]),
    [iquote('0:Res:4.0,36.0')] ).

cnf(92,plain,
    incident_point_and_line(intersection_point(skc3,skc2),skc2),
    inference(res,[status(thm),theory(equality)],[19,62]),
    [iquote('0:Res:19.1,62.0')] ).

cnf(93,plain,
    incident_point_and_line(intersection_point(skc3,skc2),skc3),
    inference(res,[status(thm),theory(equality)],[19,61]),
    [iquote('0:Res:19.1,61.0')] ).

cnf(105,plain,
    ~ incident_point_and_line(intersection_point(skc3,skc2),skc3),
    inference(res,[status(thm),theory(equality)],[92,24]),
    [iquote('0:Res:92.0,24.0')] ).

cnf(106,plain,
    $false,
    inference(mrr,[status(thm)],[105,93]),
    [iquote('0:MRR:105.0,93.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 02:49:58 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 41 clauses, backtracked 0 clauses, performed 0 splits and kept 76 clauses.
% 0.19/0.44  SPASS allocated 97745 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 11 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : con a4 ci3 ci4
% 0.19/0.44  
%------------------------------------------------------------------------------