↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB008+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n031.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 : Fri Jul 25 04:05:10 PM UTC 2025

% Result   : Theorem 0.22s 0.38s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   40 (   6 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   32 (  13   ~;  10   |;   5   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,plain,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties_negated,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(9,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf,[status(esa)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties_negated]) ).

cnf(l0,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(instantiation,[status(thm)],[9]) ).

fof(owl_eqdis_sameas,plain,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

cnf(3,plain,
    ( X0 != X1
    | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf,[status(esa)],[owl_eqdis_sameas]) ).

cnf(l1,plain,
    ( uri_ex_bob != uri_ex_robert
    | iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) ),
    inference(instantiation,[status(thm)],[3]) ).

fof(owl_char_inversefunctional,plain,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ip(P)
        & ! [X1,X2,Y] :
            ( ( iext(P,X1,Y)
              & iext(P,X2,Y) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

cnf(5,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X0,X3,X2)
    | ~ icext(uri_owl_InverseFunctionalProperty,X0)
    | X1 = X3 ),
    inference(cnf,[status(esa)],[owl_char_inversefunctional]) ).

cnf(l2,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    | ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    | ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
    | uri_ex_bob = uri_ex_robert ),
    inference(instantiation,[status(thm)],[5]) ).

fof(rdfs_cext_def,plain,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

cnf(0,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l4,plain,
    ( ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    | icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
    inference(instantiation,[status(thm)],[0]) ).

fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,plain,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

cnf(11,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf,[status(esa)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(l12,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(instantiation,[status(thm)],[11]) ).

cnf(12,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf,[status(esa)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(l3,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(instantiation,[status(thm)],[12]) ).

cnf(13,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf,[status(esa)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(l7,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(instantiation,[status(thm)],[13]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l12,l3,l7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWB008+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.14  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 22 03:55:34 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % launching worker at depth: 1
% 0.13/0.36  % launching worker at depth: 3
% 0.13/0.36  % launching worker at depth: 2
% 0.13/0.36  % launching worker at depth: 4
% 0.13/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 5
% 0.13/0.36  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % launching worker at depth: 9
% 0.13/0.36  % launching worker at depth: 10
% 0.22/0.38  % launching worker at depth: 11
% 0.22/0.38  % SZS status Theorem for theBenchmark
% 0.22/0.38  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------