TSTP Solution File: SWB005+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 19:20:55 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  21 RR)
%            Number of literals    :   41 (   0 equ;  26 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ir(u),
    file('SWB005+2.p',unknown),
    [] ).

cnf(2,axiom,
    iext(uri_ex,uri_ex_s,uri_ex_o),
    file('SWB005+2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ ir(u)
    | icext(uri_rdfs_Resource,u) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ ir(u)
    | icext(uri_owl_Thing,u) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ ip(u)
    | icext(uri_owl_ObjectProperty,u) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ iext(u,v,w)
    | ip(u) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ ip(u)
    | iext(uri_rdf_type,u,uri_rdf_Property) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ icext(u,v)
    | iext(uri_rdf_type,v,u) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    file('SWB005+2.p',unknown),
    [] ).

cnf(15,plain,
    icext(uri_owl_Thing,u),
    inference(mrr,[status(thm)],[6,1]),
    [iquote('0:MRR:6.0,1.0')] ).

cnf(16,plain,
    icext(uri_rdfs_Resource,u),
    inference(mrr,[status(thm)],[3,1]),
    [iquote('0:MRR:3.0,1.0')] ).

cnf(23,plain,
    ip(uri_ex),
    inference(res,[status(thm),theory(equality)],[2,9]),
    [iquote('0:Res:2.0,9.0')] ).

cnf(25,plain,
    iext(uri_rdf_type,u,uri_owl_Thing),
    inference(res,[status(thm),theory(equality)],[15,13]),
    [iquote('0:Res:15.0,13.0')] ).

cnf(26,plain,
    iext(uri_rdf_type,u,uri_rdfs_Resource),
    inference(res,[status(thm),theory(equality)],[16,13]),
    [iquote('0:Res:16.0,13.0')] ).

cnf(27,plain,
    ( ~ ip(u)
    | iext(uri_rdf_type,u,uri_owl_ObjectProperty) ),
    inference(res,[status(thm),theory(equality)],[8,13]),
    [iquote('0:Res:8.1,13.0')] ).

cnf(28,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(mrr,[status(thm)],[14,25]),
    [iquote('0:MRR:14.6,14.4,14.0,25.0')] ).

cnf(29,plain,
    ( ~ iext(uri_rdf_type,uri_ex,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdf_Property) ),
    inference(mrr,[status(thm)],[28,26]),
    [iquote('0:MRR:28.0,28.3,28.4,26.0,26.0,26.0')] ).

cnf(38,plain,
    ( ~ ip(uri_ex)
    | ~ iext(uri_rdf_type,uri_ex,uri_rdf_Property) ),
    inference(res,[status(thm),theory(equality)],[27,29]),
    [iquote('0:Res:27.1,29.0')] ).

cnf(39,plain,
    ~ iext(uri_rdf_type,uri_ex,uri_rdf_Property),
    inference(ssi,[status(thm)],[38,23]),
    [iquote('0:SSi:38.0,23.0')] ).

cnf(40,plain,
    ~ ip(uri_ex),
    inference(res,[status(thm),theory(equality)],[11,39]),
    [iquote('0:Res:11.1,39.0')] ).

cnf(41,plain,
    $false,
    inference(ssi,[status(thm)],[40,23]),
    [iquote('0:SSi:40.0,23.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n022.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  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 06:01:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  
% 0.19/0.44  SPASS V 3.9 
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.44  SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.19/0.44  SPASS allocated 97697 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Here is a proof with depth 3, length 21 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : simple_ir testcase_premise_fullish_005_Everything_is_a_Resource rdfs_ir_def owl_class_thing_ext owl_class_objectproperty_ext simple_iext_property rdf_type_ip rdfs_cext_def testcase_conclusion_fullish_005_Everything_is_a_Resource
% 0.19/0.44  
%------------------------------------------------------------------------------