TSTP Solution File: CSR067+3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR067+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 23:24:57 EDT 2022

% Result   : Theorem 28.24s 28.57s
% Output   : Refutation 28.24s
% 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_member7_mt),
    file('CSR067+3.p',unknown),
    [] ).

cnf(2296,axiom,
    ~ borderson(u,c_georegion_l4_x29_y75),
    file('CSR067+3.p',unknown),
    [] ).

cnf(4009,axiom,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    file('CSR067+3.p',unknown),
    [] ).

cnf(7202,axiom,
    ( ~ borderson(u,v)
    | borderson(v,u) ),
    file('CSR067+3.p',unknown),
    [] ).

cnf(8008,plain,
    borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
    inference(mrr,[status(thm)],[4009,1]),
    [iquote('0:MRR:4009.0,1.0')] ).

cnf(8030,plain,
    borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
    inference(res,[status(thm),theory(equality)],[8008,7202]),
    [iquote('0:Res:8008.0,7202.0')] ).

cnf(8121,plain,
    $false,
    inference(mrr,[status(thm)],[8030,2296]),
    [iquote('0:MRR:8030.0,2296.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR067+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n026.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 : Fri Jun 10 02:16:03 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 28.24/28.57  
% 28.24/28.57  SPASS V 3.9 
% 28.24/28.57  SPASS beiseite: Proof found.
% 28.24/28.57  % SZS status Theorem
% 28.24/28.57  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 28.24/28.57  SPASS derived 92 clauses, backtracked 0 clauses, performed 0 splits and kept 7277 clauses.
% 28.24/28.57  SPASS allocated 112725 KBytes.
% 28.24/28.57  SPASS spent	0:0:26.42 on the problem.
% 28.24/28.57  		0:00:00.10 for the input.
% 28.24/28.57  		0:00:07.15 for the FLOTTER CNF translation.
% 28.24/28.57  		0:00:00.00 for inferences.
% 28.24/28.57  		0:00:00.00 for the backtracking.
% 28.24/28.57  		0:00:07.56 for the reduction.
% 28.24/28.57  
% 28.24/28.57  
% 28.24/28.57  Here is a proof with depth 1, length 7 :
% 28.24/28.57  % SZS output start Refutation
% See solution above
% 28.24/28.57  Formulae used in the proof : query167 ax2_4223 ax2_7642
% 28.24/28.57  
%------------------------------------------------------------------------------