TSTP Solution File: SWB024+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 19:21:20 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 43 ( 0 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdfs_subClassOf,uri_ex_Person,skc7),
file('SWB024+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_onProperty,skc7,uri_ex_hasAncestor),
file('SWB024+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
file('SWB024+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
file('SWB024+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
file('SWB024+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_owl_minCardinality,skc7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
file('SWB024+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB024+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,u)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,u) ),
file('SWB024+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdfs_subClassOf,u,w)
| icext(w,v) ),
file('SWB024+2.p',unknown),
[] ).
cnf(21,axiom,
( ~ icext(uri_owl_TransitiveProperty,u)
| ~ iext(u,v,w)
| ~ iext(u,x,v)
| iext(u,x,w) ),
file('SWB024+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_onProperty,u,w)
| ~ iext(uri_owl_minCardinality,u,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| iext(w,v,skf5(v,w)) ),
file('SWB024+2.p',unknown),
[] ).
cnf(30,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(res,[status(thm),theory(equality)],[7,12]),
[iquote('0:Res:7.0,12.0')] ).
cnf(32,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(res,[status(thm),theory(equality)],[5,12]),
[iquote('0:Res:5.0,12.0')] ).
cnf(42,plain,
( ~ icext(uri_ex_Person,u)
| icext(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.1')] ).
cnf(46,plain,
icext(skc7,uri_ex_bob),
inference(res,[status(thm),theory(equality)],[32,42]),
[iquote('0:Res:32.0,42.0')] ).
cnf(82,plain,
( ~ icext(skc7,u)
| ~ iext(uri_owl_onProperty,skc7,v)
| iext(v,u,skf5(u,v)) ),
inference(res,[status(thm),theory(equality)],[9,23]),
[iquote('0:Res:9.0,23.2')] ).
cnf(129,plain,
( ~ icext(skc7,uri_ex_bob)
| ~ iext(uri_owl_onProperty,skc7,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,skf5(uri_ex_bob,uri_ex_hasAncestor)) ),
inference(res,[status(thm),theory(equality)],[82,14]),
[iquote('0:Res:82.2,14.1')] ).
cnf(134,plain,
( ~ icext(skc7,u)
| ~ iext(uri_owl_onProperty,skc7,v)
| ~ icext(uri_owl_TransitiveProperty,v)
| ~ iext(v,w,u)
| iext(v,w,skf5(u,v)) ),
inference(res,[status(thm),theory(equality)],[82,21]),
[iquote('0:Res:82.2,21.1')] ).
cnf(135,plain,
~ iext(uri_ex_hasAncestor,uri_ex_alice,skf5(uri_ex_bob,uri_ex_hasAncestor)),
inference(mrr,[status(thm)],[129,46,3]),
[iquote('0:MRR:129.0,129.1,46.0,3.0')] ).
cnf(642,plain,
( ~ icext(skc7,uri_ex_bob)
| ~ iext(uri_owl_onProperty,skc7,uri_ex_hasAncestor)
| ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(res,[status(thm),theory(equality)],[134,135]),
[iquote('0:Res:134.4,135.0')] ).
cnf(648,plain,
$false,
inference(mrr,[status(thm)],[642,46,3,30,4]),
[iquote('0:MRR:642.0,642.1,642.2,642.3,46.0,3.0,30.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 00:20:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51
% 0.20/0.51 SPASS V 3.9
% 0.20/0.51 SPASS beiseite: Proof found.
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 SPASS derived 401 clauses, backtracked 0 clauses, performed 0 splits and kept 280 clauses.
% 0.20/0.51 SPASS allocated 98106 KBytes.
% 0.20/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.20/0.51 0:00:00.03 for the input.
% 0.20/0.51 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.51 0:00:00.01 for inferences.
% 0.20/0.51 0:00:00.00 for the backtracking.
% 0.20/0.51 0:00:00.05 for the reduction.
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 Here is a proof with depth 3, length 21 :
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 Formulae used in the proof : testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties rdfs_cext_def testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties owl_rdfsext_subclassof owl_char_transitive owl_restrict_mincard_001
% 0.20/0.51
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