TSTP Solution File: GEO172+2 by SPASS---3.9

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 06:22:54 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (   9 unt;   5 nHn;  19 RR)
%            Number of literals    :   41 (   0 equ;  18 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    convergent_lines(skc5,skc3),
    file('GEO172+2.p',unknown),
    [] ).

cnf(2,axiom,
    ~ apart_point_and_line(skc4,skc5),
    file('GEO172+2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ apart_point_and_line(skc4,skc3),
    file('GEO172+2.p',unknown),
    [] ).

cnf(4,axiom,
    ~ distinct_points(u,u),
    file('GEO172+2.p',unknown),
    [] ).

cnf(7,axiom,
    distinct_points(skc4,intersection_point(skc5,skc3)),
    file('GEO172+2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ convergent_lines(u,v)
    | distinct_lines(u,v) ),
    file('GEO172+2.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,u)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO172+2.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ convergent_lines(u,v)
    | ~ apart_point_and_line(w,v)
    | distinct_points(w,intersection_point(u,v)) ),
    file('GEO172+2.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ distinct_lines(u,v)
    | ~ distinct_points(w,x)
    | apart_point_and_line(x,u)
    | apart_point_and_line(x,v)
    | apart_point_and_line(w,v)
    | apart_point_and_line(w,u) ),
    file('GEO172+2.p',unknown),
    [] ).

cnf(20,plain,
    distinct_lines(skc5,skc3),
    inference(res,[status(thm),theory(equality)],[1,8]),
    [iquote('0:Res:1.0,8.0')] ).

cnf(21,plain,
    ( ~ apart_point_and_line(u,skc5)
    | distinct_points(u,intersection_point(skc5,skc3)) ),
    inference(res,[status(thm),theory(equality)],[1,16]),
    [iquote('0:Res:1.0,16.1')] ).

cnf(22,plain,
    ( ~ apart_point_and_line(u,skc3)
    | distinct_points(u,intersection_point(skc5,skc3)) ),
    inference(res,[status(thm),theory(equality)],[1,17]),
    [iquote('0:Res:1.0,17.1')] ).

cnf(29,plain,
    ( ~ distinct_lines(skc5,u)
    | ~ distinct_points(skc4,v)
    | apart_point_and_line(v,u)
    | apart_point_and_line(v,skc5)
    | apart_point_and_line(skc4,u) ),
    inference(res,[status(thm),theory(equality)],[18,2]),
    [iquote('0:Res:18.2,2.0')] ).

cnf(48,plain,
    ~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
    inference(res,[status(thm),theory(equality)],[22,4]),
    [iquote('0:Res:22.1,4.0')] ).

cnf(49,plain,
    ~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
    inference(res,[status(thm),theory(equality)],[21,4]),
    [iquote('0:Res:21.1,4.0')] ).

cnf(326,plain,
    ( ~ distinct_points(skc4,u)
    | apart_point_and_line(u,skc3)
    | apart_point_and_line(u,skc5)
    | apart_point_and_line(skc4,skc3) ),
    inference(res,[status(thm),theory(equality)],[20,29]),
    [iquote('0:Res:20.0,29.0')] ).

cnf(345,plain,
    ( ~ distinct_points(skc4,u)
    | apart_point_and_line(u,skc3)
    | apart_point_and_line(u,skc5) ),
    inference(mrr,[status(thm)],[326,3]),
    [iquote('0:MRR:326.3,3.0')] ).

cnf(356,plain,
    ( apart_point_and_line(intersection_point(skc5,skc3),skc3)
    | apart_point_and_line(intersection_point(skc5,skc3),skc5) ),
    inference(res,[status(thm),theory(equality)],[7,345]),
    [iquote('0:Res:7.0,345.0')] ).

cnf(360,plain,
    $false,
    inference(mrr,[status(thm)],[356,48,49]),
    [iquote('0:MRR:356.0,356.1,48.0,49.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n014.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 04:03:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  
% 0.20/0.48  SPASS V 3.9 
% 0.20/0.48  SPASS beiseite: Proof found.
% 0.20/0.48  % SZS status Theorem
% 0.20/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.48  SPASS derived 317 clauses, backtracked 0 clauses, performed 0 splits and kept 214 clauses.
% 0.20/0.48  SPASS allocated 85281 KBytes.
% 0.20/0.48  SPASS spent	0:00:00.13 on the problem.
% 0.20/0.48  		0:00:00.04 for the input.
% 0.20/0.48  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.48  		0:00:00.01 for inferences.
% 0.20/0.48  		0:00:00.00 for the backtracking.
% 0.20/0.48  		0:00:00.04 for the reduction.
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Here is a proof with depth 3, length 19 :
% 0.20/0.48  % SZS output start Refutation
% See solution above
% 0.20/0.48  Formulae used in the proof : con apart1 ceq3 con2 cu1
% 0.20/0.48  
%------------------------------------------------------------------------------