TSTP Solution File: SWB009+3 by SPASS---3.9

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWB009+3 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 19:20:58 EDT 2022

% Result   : Theorem 2.66s 2.86s
% Output   : Refutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  17 RR)
%            Number of literals    :   33 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    iext(uri_rdf_type,uri_ex_s,skc2),
    file('SWB009+3.p',unknown),
    [] ).

cnf(14,axiom,
    iext(uri_owl_onProperty,skc2,uri_ex),
    file('SWB009+3.p',unknown),
    [] ).

cnf(15,axiom,
    iext(uri_owl_someValuesFrom,skc2,uri_ex_c),
    file('SWB009+3.p',unknown),
    [] ).

cnf(152,axiom,
    ( ~ iext(uri_rdf_type,u,v)
    | icext(v,u) ),
    file('SWB009+3.p',unknown),
    [] ).

cnf(153,axiom,
    ( ~ icext(u,v)
    | iext(uri_rdf_type,v,u) ),
    file('SWB009+3.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ iext(uri_rdf_type,u,uri_ex_c)
    | ~ iext(uri_ex,uri_ex_s,u) ),
    file('SWB009+3.p',unknown),
    [] ).

cnf(206,axiom,
    ( ~ icext(u,v)
    | ~ iext(uri_owl_someValuesFrom,u,w)
    | ~ iext(uri_owl_onProperty,u,x)
    | icext(w,skf33(w,y,z)) ),
    file('SWB009+3.p',unknown),
    [] ).

cnf(209,axiom,
    ( ~ icext(u,v)
    | ~ iext(uri_owl_someValuesFrom,u,w)
    | ~ iext(uri_owl_onProperty,u,x)
    | iext(x,v,skf33(w,v,x)) ),
    file('SWB009+3.p',unknown),
    [] ).

cnf(551,plain,
    icext(skc2,uri_ex_s),
    inference(res,[status(thm),theory(equality)],[12,152]),
    [iquote('0:Res:12.0,152.0')] ).

cnf(1554,plain,
    ( ~ icext(skc2,u)
    | ~ iext(uri_owl_onProperty,skc2,v)
    | icext(uri_ex_c,skf33(uri_ex_c,w,x)) ),
    inference(res,[status(thm),theory(equality)],[15,206]),
    [iquote('0:Res:15.0,206.1')] ).

cnf(1668,plain,
    ( ~ icext(skc2,u)
    | ~ iext(uri_owl_onProperty,skc2,v)
    | iext(v,u,skf33(uri_ex_c,u,v)) ),
    inference(res,[status(thm),theory(equality)],[15,209]),
    [iquote('0:Res:15.0,209.1')] ).

cnf(9141,plain,
    ( ~ icext(skc2,u)
    | icext(uri_ex_c,skf33(uri_ex_c,v,w)) ),
    inference(res,[status(thm),theory(equality)],[14,1554]),
    [iquote('0:Res:14.0,1554.1')] ).

cnf(9253,plain,
    ( ~ icext(skc2,uri_ex_s)
    | ~ iext(uri_owl_onProperty,skc2,uri_ex)
    | ~ iext(uri_rdf_type,skf33(uri_ex_c,uri_ex_s,uri_ex),uri_ex_c) ),
    inference(res,[status(thm),theory(equality)],[1668,165]),
    [iquote('0:Res:1668.2,165.1')] ).

cnf(9410,plain,
    ~ iext(uri_rdf_type,skf33(uri_ex_c,uri_ex_s,uri_ex),uri_ex_c),
    inference(mrr,[status(thm)],[9253,551,14]),
    [iquote('0:MRR:9253.0,9253.1,551.0,14.0')] ).

cnf(9411,plain,
    ~ icext(uri_ex_c,skf33(uri_ex_c,uri_ex_s,uri_ex)),
    inference(res,[status(thm),theory(equality)],[153,9410]),
    [iquote('0:Res:153.1,9410.0')] ).

cnf(9833,plain,
    icext(uri_ex_c,skf33(uri_ex_c,u,v)),
    inference(res,[status(thm),theory(equality)],[551,9141]),
    [iquote('0:Res:551.0,9141.0')] ).

cnf(9842,plain,
    $false,
    inference(unc,[status(thm)],[9833,9411]),
    [iquote('0:UnC:9833.0,9411.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWB009+3 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n018.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 13:26:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.66/2.86  
% 2.66/2.86  SPASS V 3.9 
% 2.66/2.86  SPASS beiseite: Proof found.
% 2.66/2.86  % SZS status Theorem
% 2.66/2.86  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 2.66/2.86  SPASS derived 8961 clauses, backtracked 51 clauses, performed 18 splits and kept 4725 clauses.
% 2.66/2.86  SPASS allocated 105136 KBytes.
% 2.66/2.86  SPASS spent	0:00:02.48 on the problem.
% 2.66/2.86  		0:00:00.04 for the input.
% 2.66/2.86  		0:00:00.22 for the FLOTTER CNF translation.
% 2.66/2.86  		0:00:00.09 for inferences.
% 2.66/2.86  		0:00:00.10 for the backtracking.
% 2.66/2.86  		0:00:01.91 for the reduction.
% 2.66/2.86  
% 2.66/2.86  
% 2.66/2.86  Here is a proof with depth 3, length 17 :
% 2.66/2.86  % SZS output start Refutation
% See solution above
% 2.66/2.86  Formulae used in the proof : testcase_premise_fullish_009_Existential_Restriction_Entailments rdfs_cext_def testcase_conclusion_fullish_009_Existential_Restriction_Entailments owl_restrict_somevaluesfrom
% 2.66/2.86  
%------------------------------------------------------------------------------