TSTP Solution File: CSR041+3 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CSR041+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n012.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 14:27:26 EDT 2022

% Result   : Theorem 1.74s 1.51s
% Output   : Proof 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   47 (  10 unt;  10 typ;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  131 (  58   ~;  50   |;   0   &)
%                                         (  15 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   7   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (  30   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
tff(aspatialinformationstore_type,type,
    aspatialinformationstore: $i > $o ).

tff(f_contentmtofcdafromeventfn_type,type,
    f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).

tff(c_translation_3_type,type,
    c_translation_3: $i ).

tff(f_urlreferentfn_type,type,
    f_urlreferentfn: $i > $i ).

tff(f_urlfn_type,type,
    f_urlfn: $i > $i ).

tff(s_http_wwwinformationblastcomtechnical_university_of_munichhtml_type,type,
    s_http_wwwinformationblastcomtechnical_university_of_munichhtml: $i ).

tff(microtheory_type,type,
    microtheory: $i > $o ).

tff(aspatialthing_type,type,
    aspatialthing: $i > $o ).

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

tff(c_tptp_member2831_mt_type,type,
    c_tptp_member2831_mt: $i ).

tff(1,plain,
    ( microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
  <=> microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_3546) ).

tff(3,plain,
    microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ^ [OBJ: $i] :
      refl(
        ( ( aspatialinformationstore(OBJ)
          | ~ microtheory(OBJ) )
      <=> ( aspatialinformationstore(OBJ)
          | ~ microtheory(OBJ) ) )),
    inference(bind,[status(th)],]) ).

tff(5,plain,
    ( ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
        | ~ microtheory(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
        | ~ microtheory(OBJ) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,plain,
    ( ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
        | ~ microtheory(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
        | ~ microtheory(OBJ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(7,plain,
    ^ [OBJ: $i] :
      rewrite(
        ( ( microtheory(OBJ)
         => aspatialinformationstore(OBJ) )
      <=> ( aspatialinformationstore(OBJ)
          | ~ microtheory(OBJ) ) )),
    inference(bind,[status(th)],]) ).

tff(8,plain,
    ( ! [OBJ: $i] :
        ( microtheory(OBJ)
       => aspatialinformationstore(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
        | ~ microtheory(OBJ) ) ),
    inference(quant_intro,[status(thm)],[7]) ).

tff(9,axiom,
    ! [OBJ: $i] :
      ( microtheory(OBJ)
     => aspatialinformationstore(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_3192) ).

tff(10,plain,
    ! [OBJ: $i] :
      ( aspatialinformationstore(OBJ)
      | ~ microtheory(OBJ) ),
    inference(modus_ponens,[status(thm)],[9,8]) ).

tff(11,plain,
    ! [OBJ: $i] :
      ( aspatialinformationstore(OBJ)
      | ~ microtheory(OBJ) ),
    inference(modus_ponens,[status(thm)],[10,6]) ).

tff(12,plain,
    ! [OBJ: $i] :
      ( aspatialinformationstore(OBJ)
      | ~ microtheory(OBJ) ),
    inference(skolemize,[status(sab)],[11]) ).

tff(13,plain,
    ! [OBJ: $i] :
      ( aspatialinformationstore(OBJ)
      | ~ microtheory(OBJ) ),
    inference(modus_ponens,[status(thm)],[12,5]) ).

tff(14,plain,
    ( ( ~ ! [OBJ: $i] :
            ( aspatialinformationstore(OBJ)
            | ~ microtheory(OBJ) )
      | aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
      | ~ microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) )
  <=> ( ~ ! [OBJ: $i] :
            ( aspatialinformationstore(OBJ)
            | ~ microtheory(OBJ) )
      | aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
      | ~ microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(15,plain,
    ( ~ ! [OBJ: $i] :
          ( aspatialinformationstore(OBJ)
          | ~ microtheory(OBJ) )
    | aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
    | ~ microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(16,plain,
    ( ~ ! [OBJ: $i] :
          ( aspatialinformationstore(OBJ)
          | ~ microtheory(OBJ) )
    | aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
    | ~ microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
    inference(unit_resolution,[status(thm)],[16,13,3]) ).

tff(18,plain,
    ( ~ aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
  <=> ~ aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(rewrite,[status(thm)],]) ).

tff(19,plain,
    ( ~ ( mtvisible(c_tptp_member2831_mt)
       => aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) )
  <=> ~ ( ~ mtvisible(c_tptp_member2831_mt)
        | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(20,axiom,
    ~ ( mtvisible(c_tptp_member2831_mt)
     => aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query141) ).

tff(21,plain,
    ~ ( ~ mtvisible(c_tptp_member2831_mt)
      | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(modus_ponens,[status(thm)],[20,19]) ).

tff(22,plain,
    ~ aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
    inference(or_elim,[status(thm)],[21]) ).

tff(23,plain,
    ~ aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
    inference(modus_ponens,[status(thm)],[22,18]) ).

tff(24,plain,
    ^ [OBJ: $i] :
      refl(
        ( ( aspatialthing(OBJ)
          | ~ aspatialinformationstore(OBJ) )
      <=> ( aspatialthing(OBJ)
          | ~ aspatialinformationstore(OBJ) ) )),
    inference(bind,[status(th)],]) ).

tff(25,plain,
    ( ! [OBJ: $i] :
        ( aspatialthing(OBJ)
        | ~ aspatialinformationstore(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialthing(OBJ)
        | ~ aspatialinformationstore(OBJ) ) ),
    inference(quant_intro,[status(thm)],[24]) ).

tff(26,plain,
    ( ! [OBJ: $i] :
        ( aspatialthing(OBJ)
        | ~ aspatialinformationstore(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialthing(OBJ)
        | ~ aspatialinformationstore(OBJ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(27,plain,
    ^ [OBJ: $i] :
      rewrite(
        ( ( aspatialinformationstore(OBJ)
         => aspatialthing(OBJ) )
      <=> ( aspatialthing(OBJ)
          | ~ aspatialinformationstore(OBJ) ) )),
    inference(bind,[status(th)],]) ).

tff(28,plain,
    ( ! [OBJ: $i] :
        ( aspatialinformationstore(OBJ)
       => aspatialthing(OBJ) )
  <=> ! [OBJ: $i] :
        ( aspatialthing(OBJ)
        | ~ aspatialinformationstore(OBJ) ) ),
    inference(quant_intro,[status(thm)],[27]) ).

tff(29,axiom,
    ! [OBJ: $i] :
      ( aspatialinformationstore(OBJ)
     => aspatialthing(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1406) ).

tff(30,plain,
    ! [OBJ: $i] :
      ( aspatialthing(OBJ)
      | ~ aspatialinformationstore(OBJ) ),
    inference(modus_ponens,[status(thm)],[29,28]) ).

tff(31,plain,
    ! [OBJ: $i] :
      ( aspatialthing(OBJ)
      | ~ aspatialinformationstore(OBJ) ),
    inference(modus_ponens,[status(thm)],[30,26]) ).

tff(32,plain,
    ! [OBJ: $i] :
      ( aspatialthing(OBJ)
      | ~ aspatialinformationstore(OBJ) ),
    inference(skolemize,[status(sab)],[31]) ).

tff(33,plain,
    ! [OBJ: $i] :
      ( aspatialthing(OBJ)
      | ~ aspatialinformationstore(OBJ) ),
    inference(modus_ponens,[status(thm)],[32,25]) ).

tff(34,plain,
    ( ( ~ ! [OBJ: $i] :
            ( aspatialthing(OBJ)
            | ~ aspatialinformationstore(OBJ) )
      | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
      | ~ aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) )
  <=> ( ~ ! [OBJ: $i] :
            ( aspatialthing(OBJ)
            | ~ aspatialinformationstore(OBJ) )
      | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
      | ~ aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(35,plain,
    ( ~ ! [OBJ: $i] :
          ( aspatialthing(OBJ)
          | ~ aspatialinformationstore(OBJ) )
    | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
    | ~ aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(quant_inst,[status(thm)],]) ).

tff(36,plain,
    ( ~ ! [OBJ: $i] :
          ( aspatialthing(OBJ)
          | ~ aspatialinformationstore(OBJ) )
    | aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3))
    | ~ aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ),
    inference(modus_ponens,[status(thm)],[35,34]) ).

tff(37,plain,
    $false,
    inference(unit_resolution,[status(thm)],[36,33,23,17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : CSR041+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n012.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 17:53:35 EDT 2022
% 0.12/0.34  % 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.
% 1.74/1.51  % SZS status Theorem
% 1.74/1.51  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------