%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n007.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 06:23:00 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     :   13 (   8 unt;   2 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    distinct_points(skc3,skc4),
    file('GEO178+3.p',unknown),
    [] ).

cnf(5,axiom,
    apart_point_and_line(skc5,line_connecting(skc3,skc4)),
    file('GEO178+3.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ distinct_points(skc5,skc4)
    | ~ distinct_points(skc5,skc3) ),
    file('GEO178+3.p',unknown),
    [] ).

cnf(31,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(u,line_connecting(u,v)) ),
    file('GEO178+3.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ distinct_points(u,v)
    | ~ apart_point_and_line(v,line_connecting(u,v)) ),
    file('GEO178+3.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ apart_point_and_line(u,v)
    | apart_point_and_line(w,v)
    | distinct_points(u,w) ),
    file('GEO178+3.p',unknown),
    [] ).

cnf(53,plain,
    ~ apart_point_and_line(skc3,line_connecting(skc3,skc4)),
    inference(res,[status(thm),theory(equality)],[1,31]),
    [iquote('0:Res:1.0,31.0')] ).

cnf(54,plain,
    ~ apart_point_and_line(skc4,line_connecting(skc3,skc4)),
    inference(res,[status(thm),theory(equality)],[1,32]),
    [iquote('0:Res:1.0,32.0')] ).

cnf(56,plain,
    ( apart_point_and_line(u,line_connecting(skc3,skc4))
    | distinct_points(skc5,u) ),
    inference(res,[status(thm),theory(equality)],[5,35]),
    [iquote('0:Res:5.0,35.0')] ).

cnf(91,plain,
    distinct_points(skc5,skc4),
    inference(res,[status(thm),theory(equality)],[56,54]),
    [iquote('0:Res:56.0,54.0')] ).

cnf(92,plain,
    distinct_points(skc5,skc3),
    inference(res,[status(thm),theory(equality)],[56,53]),
    [iquote('0:Res:56.0,53.0')] ).

cnf(93,plain,
    ~ distinct_points(skc5,skc3),
    inference(mrr,[status(thm)],[22,91]),
    [iquote('0:MRR:22.0,91.0')] ).

cnf(95,plain,
    $false,
    inference(mrr,[status(thm)],[93,92]),
    [iquote('0:MRR:93.0,92.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 18:32:57 EDT 2022
% 0.12/0.34  % 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/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 41 clauses, backtracked 0 clauses, performed 0 splits and kept 83 clauses.
% 0.19/0.44  SPASS allocated 97740 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 2, length 13 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : con ci1 ci2 ceq1
% 0.19/0.44  
%------------------------------------------------------------------------------