TSTP Solution File: SWB001+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWB001+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n008.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 08:31:31 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   25 (   3 unt;  10 typ;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (   5   ~;   0   |;  13   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(iext_type,type,
    iext: ( $i * $i * $i ) > $o ).

tff(uri_ex_p_type,type,
    uri_ex_p: $i ).

tff(uri_ex_r_type,type,
    uri_ex_r: $i ).

tff(uri_owl_onProperty_type,type,
    uri_owl_onProperty: $i ).

tff(uri_owl_Restriction_type,type,
    uri_owl_Restriction: $i ).

tff(uri_rdf_type_type,type,
    uri_rdf_type: $i ).

tff(uri_ex_c_type,type,
    uri_ex_c: $i ).

tff(uri_rdfs_subClassOf_type,type,
    uri_rdfs_subClassOf: $i ).

tff(uri_ex_d_type,type,
    uri_ex_d: $i ).

tff(uri_owl_someValuesFrom_type,type,
    uri_owl_someValuesFrom: $i ).

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

tff(2,plain,
    ( ( $true
      & $true )
  <=> $true ),
    inference(rewrite,[status(thm)],]) ).

tff(3,axiom,
    ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).

tff(4,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    inference(and_elim,[status(thm)],[3]) ).

tff(5,plain,
    iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
    inference(and_elim,[status(thm)],[4]) ).

tff(6,plain,
    ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
  <=> $true ),
    inference(iff_true,[status(thm)],[5]) ).

tff(7,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(and_elim,[status(thm)],[4]) ).

tff(8,plain,
    iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
    inference(and_elim,[status(thm)],[7]) ).

tff(9,plain,
    ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
  <=> $true ),
    inference(iff_true,[status(thm)],[8]) ).

tff(10,plain,
    ( ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
      & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
  <=> ( $true
      & $true ) ),
    inference(monotonicity,[status(thm)],[9,6]) ).

tff(11,plain,
    ( ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
      & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
  <=> $true ),
    inference(transitivity,[status(thm)],[10,2]) ).

tff(12,plain,
    ( ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
        & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
  <=> ~ $true ),
    inference(monotonicity,[status(thm)],[11]) ).

tff(13,plain,
    ( ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
        & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) )
  <=> $false ),
    inference(transitivity,[status(thm)],[12,1]) ).

tff(14,axiom,
    ~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
      & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).

tff(15,plain,
    $false,
    inference(modus_ponens,[status(thm)],[14,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB001+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n008.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 : Sat Sep  3 19:13:40 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.
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------