TSTP Solution File: CSR053+6 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CSR053+6 : TPTP v8.1.0. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%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  : 300s
% DateTime : Tue Sep 20 14:27:42 EDT 2022

% Result   : Timeout 294.53s 274.97s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (  15   ~;   8   |;   0   &)
%                                         (  10 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(geographicalsubregions_type,type,
    geographicalsubregions: ( $i * $i ) > $o ).

tff(c_georegion_l4_x35_y7_type,type,
    c_georegion_l4_x35_y7: $i ).

tff(c_georegion_l3_x11_y2_type,type,
    c_georegion_l3_x11_y2: $i ).

tff(mtvisible_type,type,
    mtvisible: $i > $o ).

tff(c_tptpgeo_member1_mt_type,type,
    c_tptpgeo_member1_mt: $i ).

tff(1,plain,
    ( ( $false
      | $false )
  <=> $false ),
    inference(rewrite,[status(thm)],]) ).

tff(2,plain,
    ( ~ ( mtvisible(c_tptpgeo_member1_mt)
       => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
  <=> ~ ( ~ mtvisible(c_tptpgeo_member1_mt)
        | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(3,axiom,
    ~ ( mtvisible(c_tptpgeo_member1_mt)
     => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query303) ).

tff(4,plain,
    ~ ( ~ mtvisible(c_tptpgeo_member1_mt)
      | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    inference(modus_ponens,[status(thm)],[3,2]) ).

tff(5,plain,
    ~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
    inference(or_elim,[status(thm)],[4]) ).

tff(6,plain,
    ( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
  <=> $false ),
    inference(iff_false,[status(thm)],[5]) ).

tff(7,plain,
    ( ~ $true
  <=> $false ),
    inference(rewrite,[status(thm)],]) ).

tff(8,plain,
    mtvisible(c_tptpgeo_member1_mt),
    inference(or_elim,[status(thm)],[4]) ).

tff(9,plain,
    ( mtvisible(c_tptpgeo_member1_mt)
  <=> $true ),
    inference(iff_true,[status(thm)],[8]) ).

tff(10,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
  <=> ~ $true ),
    inference(monotonicity,[status(thm)],[9]) ).

tff(11,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
  <=> $false ),
    inference(transitivity,[status(thm)],[10,7]) ).

tff(12,plain,
    ( ( ~ mtvisible(c_tptpgeo_member1_mt)
      | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
  <=> ( $false
      | $false ) ),
    inference(monotonicity,[status(thm)],[11,6]) ).

tff(13,plain,
    ( ( ~ mtvisible(c_tptpgeo_member1_mt)
      | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
  <=> $false ),
    inference(transitivity,[status(thm)],[12,1]) ).

tff(14,plain,
    ( ( mtvisible(c_tptpgeo_member1_mt)
     => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
  <=> ( ~ mtvisible(c_tptpgeo_member1_mt)
      | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(15,axiom,
    ( mtvisible(c_tptpgeo_member1_mt)
   => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_2119736) ).

tff(16,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    $false,
    inference(modus_ponens,[status(thm)],[16,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR053+6 : TPTP v8.1.0. Bugfixed v5.3.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 30 19:06:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 294.53/274.97  % SZS status Theorem
% 294.53/274.97  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------