TSTP Solution File: SWB008+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 : Tue Jul 19 19:20:57 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   21 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    file('SWB008+2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('SWB008+2.p',unknown),
    [] ).

cnf(4,axiom,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    file('SWB008+2.p',unknown),
    [] ).

cnf(5,axiom,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    file('SWB008+2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ iext(uri_rdf_type,u,v)
    | icext(v,u) ),
    file('SWB008+2.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ equal(u,v)
    | iext(uri_owl_sameAs,u,v) ),
    file('SWB008+2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ icext(uri_owl_InverseFunctionalProperty,u)
    | ~ iext(u,v,w)
    | ~ iext(u,x,w)
    | equal(x,v) ),
    file('SWB008+2.p',unknown),
    [] ).

cnf(15,plain,
    ~ equal(uri_ex_robert,uri_ex_bob),
    inference(res,[status(thm),theory(equality)],[10,3]),
    [iquote('0:Res:10.1,3.0')] ).

cnf(18,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(res,[status(thm),theory(equality)],[2,7]),
    [iquote('0:Res:2.0,7.0')] ).

cnf(30,plain,
    ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
    | ~ iext(uri_foaf_mbox_sha1sum,u,literal_plain(dat_str_xyz))
    | equal(u,uri_ex_robert) ),
    inference(res,[status(thm),theory(equality)],[5,14]),
    [iquote('0:Res:5.0,14.1')] ).

cnf(35,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,u,literal_plain(dat_str_xyz))
    | equal(u,uri_ex_robert) ),
    inference(mrr,[status(thm)],[30,18]),
    [iquote('0:MRR:30.0,18.0')] ).

cnf(38,plain,
    equal(uri_ex_robert,uri_ex_bob),
    inference(res,[status(thm),theory(equality)],[4,35]),
    [iquote('0:Res:4.0,35.0')] ).

cnf(39,plain,
    $false,
    inference(mrr,[status(thm)],[38,15]),
    [iquote('0:MRR:38.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n019.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 : Wed Jun  1 02:37:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  
% 0.20/0.45  SPASS V 3.9 
% 0.20/0.45  SPASS beiseite: Proof found.
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.45  SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 29 clauses.
% 0.20/0.45  SPASS allocated 97697 KBytes.
% 0.20/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.20/0.45  		0:00:00.04 for the input.
% 0.20/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45  		0:00:00.00 for inferences.
% 0.20/0.45  		0:00:00.00 for the backtracking.
% 0.20/0.45  		0:00:00.00 for the reduction.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Here is a proof with depth 2, length 13 :
% 0.20/0.45  % SZS output start Refutation
% See solution above
% 0.20/0.45  Formulae used in the proof : testcase_premise_fullish_008_Inverse_Functional_Data_Properties testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties rdfs_cext_def owl_eqdis_sameas owl_char_inversefunctional
% 0.20/0.45  
%------------------------------------------------------------------------------