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