TSTP Solution File: CSR047+3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR047+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 : Fri Jul 15 23:24:38 EDT 2022

% Result   : Theorem 28.54s 28.76s
% Output   : Refutation 28.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    mtvisible(c_tptpgeo_member4_mt),
    file('CSR047+3.p',unknown),
    [] ).

cnf(2296,axiom,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    file('CSR047+3.p',unknown),
    [] ).

cnf(3857,axiom,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    file('CSR047+3.p',unknown),
    [] ).

cnf(7202,axiom,
    ( ~ borderson(u,v)
    | borderson(v,u) ),
    file('CSR047+3.p',unknown),
    [] ).

cnf(8011,plain,
    borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
    inference(mrr,[status(thm)],[3857,1]),
    [iquote('0:MRR:3857.0,1.0')] ).

cnf(8023,plain,
    borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(res,[status(thm),theory(equality)],[8011,7202]),
    [iquote('0:Res:8011.0,7202.0')] ).

cnf(8030,plain,
    $false,
    inference(mrr,[status(thm)],[8023,2296]),
    [iquote('0:MRR:8023.0,2296.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR047+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.14/0.33  % Computer : n009.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jun 11 18:14:08 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 28.54/28.76  
% 28.54/28.76  SPASS V 3.9 
% 28.54/28.76  SPASS beiseite: Proof found.
% 28.54/28.76  % SZS status Theorem
% 28.54/28.76  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 28.54/28.76  SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 7262 clauses.
% 28.54/28.76  SPASS allocated 112722 KBytes.
% 28.54/28.76  SPASS spent	0:0:26.63 on the problem.
% 28.54/28.76  		0:00:00.10 for the input.
% 28.54/28.76  		0:00:06.91 for the FLOTTER CNF translation.
% 28.54/28.76  		0:00:00.00 for inferences.
% 28.54/28.76  		0:00:00.00 for the backtracking.
% 28.54/28.76  		0:00:07.57 for the reduction.
% 28.54/28.76  
% 28.54/28.76  
% 28.54/28.76  Here is a proof with depth 1, length 7 :
% 28.54/28.76  % SZS output start Refutation
% See solution above
% 28.54/28.76  Formulae used in the proof : query147 ax2_1351 ax2_7642
% 28.54/28.76  
%------------------------------------------------------------------------------