TSTP Solution File: SWB011+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 19:20:59 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    file('SWB011+2.p',unknown),
    [] ).

cnf(2,axiom,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    file('SWB011+2.p',unknown),
    [] ).

cnf(3,axiom,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    file('SWB011+2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ iext(uri_rdf_type,u,v)
    | icext(v,u) ),
    file('SWB011+2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ icext(u,v)
    | ~ icext(w,v)
    | ~ iext(uri_owl_disjointWith,w,u) ),
    file('SWB011+2.p',unknown),
    [] ).

cnf(15,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(res,[status(thm),theory(equality)],[3,6]),
    [iquote('0:Res:3.0,6.0')] ).

cnf(16,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(res,[status(thm),theory(equality)],[2,6]),
    [iquote('0:Res:2.0,6.0')] ).

cnf(18,plain,
    ( ~ icext(uri_owl_ObjectProperty,u)
    | ~ icext(uri_owl_Class,u) ),
    inference(res,[status(thm),theory(equality)],[1,8]),
    [iquote('0:Res:1.0,8.2')] ).

cnf(19,plain,
    ~ icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(res,[status(thm),theory(equality)],[16,18]),
    [iquote('0:Res:16.0,18.1')] ).

cnf(20,plain,
    $false,
    inference(mrr,[status(thm)],[19,15]),
    [iquote('0:MRR:19.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  1 07:56:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses.
% 0.18/0.44  SPASS allocated 97700 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.00 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 2, length 10 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : testcase_premise_fullish_011_Entity_Types_as_Classes rdfs_cext_def owl_eqdis_disjointwith
% 0.18/0.44  
%------------------------------------------------------------------------------