TSTP Solution File: SWB017+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWB017+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 19:21:14 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   8 unt;   1 nHn;  11 RR)
%            Number of literals    :   15 (   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    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    file('SWB017+2.p',unknown),
    [] ).

cnf(2,axiom,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    file('SWB017+2.p',unknown),
    [] ).

cnf(3,axiom,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    file('SWB017+2.p',unknown),
    [] ).

cnf(4,axiom,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('SWB017+2.p',unknown),
    [] ).

cnf(5,axiom,
    ( equal(u,v)
    | iext(uri_owl_differentFrom,u,v) ),
    file('SWB017+2.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ iext(u,v,w)
    | ~ iext(x,v,w)
    | ~ iext(uri_owl_propertyDisjointWith,x,u) ),
    file('SWB017+2.p',unknown),
    [] ).

cnf(12,plain,
    equal(uri_ex_u,uri_ex_w),
    inference(res,[status(thm),theory(equality)],[5,4]),
    [iquote('0:Res:5.1,4.0')] ).

cnf(13,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(rew,[status(thm),theory(equality)],[12,3]),
    [iquote('0:Rew:12.0,3.0')] ).

cnf(21,plain,
    ( ~ iext(u,uri_ex_w,uri_ex_c)
    | ~ iext(uri_owl_propertyDisjointWith,u,uri_rdf_type) ),
    inference(res,[status(thm),theory(equality)],[2,9]),
    [iquote('0:Res:2.0,9.0')] ).

cnf(32,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(res,[status(thm),theory(equality)],[13,21]),
    [iquote('0:Res:13.0,21.0')] ).

cnf(35,plain,
    $false,
    inference(mrr,[status(thm)],[32,1]),
    [iquote('0:MRR:32.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 11:31:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  SPASS V 3.9 
% 0.19/0.45  SPASS beiseite: Proof found.
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.45  SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 30 clauses.
% 0.19/0.45  SPASS allocated 97648 KBytes.
% 0.19/0.45  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.45  		0:00:00.04 for the input.
% 0.19/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45  		0:00:00.00 for inferences.
% 0.19/0.45  		0:00:00.00 for the backtracking.
% 0.19/0.45  		0:00:00.00 for the reduction.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Here is a proof with depth 2, length 11 :
% 0.19/0.45  % SZS output start Refutation
% See solution above
% 0.19/0.45  Formulae used in the proof : testcase_premise_fullish_017_Built_in_Based_Definitions testcase_conclusion_fullish_017_Built_in_Based_Definitions owl_eqdis_differentfrom owl_eqdis_propertydisjointwith
% 0.19/0.45  
%------------------------------------------------------------------------------