TSTP Solution File: SWB016+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 33 ( 12 unt; 3 nHn; 33 RR)
% Number of literals : 73 ( 0 equ; 41 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ip(uri_owl_equivalentClass),
file('SWB016+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('SWB016+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('SWB016+2.p',unknown),
[] ).
cnf(4,axiom,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('SWB016+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ iext(uri_rdf_type,u,uri_rdf_Property)
| ip(u) ),
file('SWB016+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ iext(uri_owl_equivalentClass,u,v)
| ic(u) ),
file('SWB016+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ iext(uri_owl_equivalentClass,u,v)
| ic(v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB016+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_equivalentClass,u,w)
| icext(w,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_rdfs_domain,u,x)
| icext(x,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ ic(u)
| ~ ic(v)
| icext(u,skf4(v,u))
| iext(uri_rdfs_subClassOf,u,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ ic(u)
| ~ ic(v)
| ~ icext(v,skf4(v,w))
| iext(uri_rdfs_subClassOf,u,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ ip(u)
| ~ ip(v)
| iext(u,skf6(v,u),skf5(v,u))
| iext(uri_rdfs_subPropertyOf,u,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(25,axiom,
( ~ ip(u)
| ~ ip(v)
| ~ iext(v,skf6(v,w),skf5(v,w))
| iext(uri_rdfs_subPropertyOf,u,v) ),
file('SWB016+2.p',unknown),
[] ).
cnf(28,plain,
( ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass)
| ~ iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,u),skf5(uri_rdfs_subClassOf,u)) ),
inference(res,[status(thm),theory(equality)],[25,4]),
[iquote('0:Res:25.3,4.0')] ).
cnf(29,plain,
( ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass)
| iext(uri_owl_equivalentClass,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(res,[status(thm),theory(equality)],[24,4]),
[iquote('0:Res:24.3,4.0')] ).
cnf(31,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_owl_equivalentClass,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(mrr,[status(thm)],[29,1]),
[iquote('0:MRR:29.1,1.0')] ).
cnf(32,plain,
( ~ ip(uri_rdfs_subClassOf)
| ~ iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,u),skf5(uri_rdfs_subClassOf,u)) ),
inference(mrr,[status(thm)],[28,1]),
[iquote('0:MRR:28.1,1.0')] ).
cnf(42,plain,
( ~ icext(uri_rdf_Property,u)
| ip(u) ),
inference(res,[status(thm),theory(equality)],[16,5]),
[iquote('0:Res:16.1,5.0')] ).
cnf(47,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,u)
| icext(u,uri_rdfs_subClassOf) ),
inference(res,[status(thm),theory(equality)],[3,20]),
[iquote('0:Res:3.0,20.0')] ).
cnf(55,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(res,[status(thm),theory(equality)],[2,47]),
[iquote('0:Res:2.0,47.0')] ).
cnf(56,plain,
ip(uri_rdfs_subClassOf),
inference(res,[status(thm),theory(equality)],[55,42]),
[iquote('0:Res:55.0,42.0')] ).
cnf(57,plain,
iext(uri_owl_equivalentClass,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)),
inference(mrr,[status(thm)],[31,56]),
[iquote('0:MRR:31.0,56.0')] ).
cnf(58,plain,
~ iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,u),skf5(uri_rdfs_subClassOf,u)),
inference(mrr,[status(thm)],[32,56]),
[iquote('0:MRR:32.0,56.0')] ).
cnf(59,plain,
ic(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass)),
inference(res,[status(thm),theory(equality)],[57,13]),
[iquote('0:Res:57.0,13.0')] ).
cnf(60,plain,
ic(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)),
inference(res,[status(thm),theory(equality)],[57,14]),
[iquote('0:Res:57.0,14.0')] ).
cnf(64,plain,
( ~ icext(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),u)
| icext(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass),u) ),
inference(res,[status(thm),theory(equality)],[57,18]),
[iquote('0:Res:57.0,18.1')] ).
cnf(128,plain,
( ~ ic(u)
| ~ ic(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ icext(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf4(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass),v))
| iext(uri_rdfs_subClassOf,u,skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(res,[status(thm),theory(equality)],[64,23]),
[iquote('0:Res:64.1,23.2')] ).
cnf(129,plain,
( ~ ic(u)
| ~ icext(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf4(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass),v))
| iext(uri_rdfs_subClassOf,u,skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(ssi,[status(thm)],[128,60]),
[iquote('0:SSi:128.1,60.0')] ).
cnf(415,plain,
( ~ ic(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(u)
| iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| iext(uri_rdfs_subClassOf,u,skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(res,[status(thm),theory(equality)],[22,129]),
[iquote('0:Res:22.2,129.1')] ).
cnf(421,plain,
( ~ ic(skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
inference(con,[status(thm)],[415]),
[iquote('0:Con:415.2')] ).
cnf(432,plain,
iext(uri_rdfs_subClassOf,skf6(uri_rdfs_subClassOf,uri_owl_equivalentClass),skf5(uri_rdfs_subClassOf,uri_owl_equivalentClass)),
inference(ssi,[status(thm)],[421,60,59]),
[iquote('0:SSi:421.1,421.0,60.0,59.0')] ).
cnf(433,plain,
$false,
inference(mrr,[status(thm)],[432,58]),
[iquote('0:MRR:432.0,58.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 03:33:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 318 clauses, backtracked 6 clauses, performed 1 splits and kept 234 clauses.
% 0.20/0.50 SPASS allocated 98075 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.50 0:00:00.03 for the input.
% 0.20/0.50 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.03 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 4, length 33 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : owl_prop_equivalentclass_type rdfs_domain_domain rdfs_subclassof_domain testcase_conclusion_fullish_016_Reflective_Tautologies_II rdf_type_ip owl_eqdis_equivalentclass rdfs_cext_def rdfs_domain_main owl_rdfsext_subclassof owl_rdfsext_subpropertyof
% 0.20/0.50
%------------------------------------------------------------------------------