TSTP Solution File: SWB012+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 19:21:01 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of clauses : 40 ( 16 unt; 0 nHn; 40 RR)
% Number of literals : 96 ( 0 equ; 62 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 27 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,skc15),
file('SWB012+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdf_first,skc15,uri_owl_DatatypeProperty),
file('SWB012+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdf_rest,skc15,skc14),
file('SWB012+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_rdf_rest,skc14,skc13),
file('SWB012+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_first,skc14,uri_owl_FunctionalProperty),
file('SWB012+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_first,skc13,skc12),
file('SWB012+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_rest,skc13,uri_rdf_nil),
file('SWB012+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_owl_hasValue,skc12,uri_foaf_Person),
file('SWB012+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_owl_onProperty,skc12,uri_rdfs_domain),
file('SWB012+2.p',unknown),
[] ).
cnf(12,axiom,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
file('SWB012+2.p',unknown),
[] ).
cnf(13,axiom,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
file('SWB012+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB012+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB012+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ skP0(u,v,w,x)
| icext(v,w) ),
file('SWB012+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ skP0(u,v,w,x)
| icext(u,w) ),
file('SWB012+2.p',unknown),
[] ).
cnf(19,axiom,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('SWB012+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_rdfs_domain,u,x)
| icext(x,v) ),
file('SWB012+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_hasValue,u,w)
| ~ iext(uri_owl_onProperty,u,x)
| iext(x,v,w) ),
file('SWB012+2.p',unknown),
[] ).
cnf(29,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_rdf_rest,x1,y)
| ~ iext(uri_rdf_first,x1,x2)
| ~ iext(uri_owl_intersectionOf,u,x1)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| skP0(x,z,v,x2) ),
file('SWB012+2.p',unknown),
[] ).
cnf(36,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(res,[status(thm),theory(equality)],[12,14]),
[iquote('0:Res:12.0,14.0')] ).
cnf(40,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(res,[status(thm),theory(equality)],[15,19]),
[iquote('0:Res:15.1,19.1')] ).
cnf(41,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| ~ icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(res,[status(thm),theory(equality)],[15,40]),
[iquote('0:Res:15.1,40.1')] ).
cnf(55,plain,
( ~ iext(uri_rdfs_domain,uri_ex_name,u)
| icext(u,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[13,20]),
[iquote('0:Res:13.0,20.0')] ).
cnf(59,plain,
( ~ icext(skc12,u)
| ~ iext(uri_owl_onProperty,skc12,v)
| iext(v,u,uri_foaf_Person) ),
inference(res,[status(thm),theory(equality)],[8,22]),
[iquote('0:Res:8.0,22.1')] ).
cnf(87,plain,
( ~ icext(skc12,u)
| iext(uri_rdfs_domain,u,uri_foaf_Person) ),
inference(res,[status(thm),theory(equality)],[9,59]),
[iquote('0:Res:9.0,59.1')] ).
cnf(106,plain,
( ~ icext(skc12,uri_ex_name)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[87,55]),
[iquote('0:Res:87.1,55.0')] ).
cnf(108,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc13)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_owl_intersectionOf,u,y)
| ~ iext(uri_rdf_rest,skc13,uri_rdf_nil)
| skP0(skc12,x,v,z) ),
inference(res,[status(thm),theory(equality)],[6,29]),
[iquote('0:Res:6.0,29.1')] ).
cnf(111,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc13)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_owl_intersectionOf,u,y)
| skP0(skc12,x,v,z) ),
inference(mrr,[status(thm)],[108,7]),
[iquote('0:MRR:108.6,7.0')] ).
cnf(151,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc14,w)
| ~ iext(uri_rdf_rest,x,skc14)
| ~ iext(uri_rdf_first,x,y)
| ~ iext(uri_owl_intersectionOf,u,x)
| skP0(skc12,w,v,y) ),
inference(res,[status(thm),theory(equality)],[4,111]),
[iquote('0:Res:4.0,111.1')] ).
cnf(152,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc14)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| skP0(skc12,uri_owl_FunctionalProperty,v,x) ),
inference(res,[status(thm),theory(equality)],[5,151]),
[iquote('0:Res:5.0,151.1')] ).
cnf(153,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc15,w)
| ~ iext(uri_owl_intersectionOf,u,skc15)
| skP0(skc12,uri_owl_FunctionalProperty,v,w) ),
inference(res,[status(thm),theory(equality)],[3,152]),
[iquote('0:Res:3.0,152.1')] ).
cnf(154,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_intersectionOf,u,skc15)
| skP0(skc12,uri_owl_FunctionalProperty,v,uri_owl_DatatypeProperty) ),
inference(res,[status(thm),theory(equality)],[2,153]),
[iquote('0:Res:2.0,153.1')] ).
cnf(155,plain,
( ~ icext(uri_ex_PersonAttribute,u)
| skP0(skc12,uri_owl_FunctionalProperty,u,uri_owl_DatatypeProperty) ),
inference(res,[status(thm),theory(equality)],[1,154]),
[iquote('0:Res:1.0,154.1')] ).
cnf(157,plain,
( ~ icext(uri_ex_PersonAttribute,u)
| icext(uri_owl_FunctionalProperty,u) ),
inference(res,[status(thm),theory(equality)],[155,17]),
[iquote('0:Res:155.1,17.0')] ).
cnf(158,plain,
( ~ icext(uri_ex_PersonAttribute,u)
| icext(skc12,u) ),
inference(res,[status(thm),theory(equality)],[155,18]),
[iquote('0:Res:155.1,18.0')] ).
cnf(164,plain,
( ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ icext(uri_foaf_Person,uri_ex_alice) ),
inference(res,[status(thm),theory(equality)],[157,41]),
[iquote('0:Res:157.1,41.1')] ).
cnf(165,plain,
~ icext(uri_foaf_Person,uri_ex_alice),
inference(mrr,[status(thm)],[164,36]),
[iquote('0:MRR:164.0,36.0')] ).
cnf(166,plain,
~ icext(skc12,uri_ex_name),
inference(mrr,[status(thm)],[106,165]),
[iquote('0:MRR:106.1,165.0')] ).
cnf(169,plain,
icext(skc12,uri_ex_name),
inference(res,[status(thm),theory(equality)],[36,158]),
[iquote('0:Res:36.0,158.0')] ).
cnf(170,plain,
$false,
inference(mrr,[status(thm)],[169,166]),
[iquote('0:MRR:169.0,166.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 05:47:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 126 clauses, backtracked 0 clauses, performed 0 splits and kept 151 clauses.
% 0.20/0.49 SPASS allocated 97950 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.49 0:00:00.03 for the input.
% 0.20/0.49 0:00:00.05 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.03 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 8, length 40 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : testcase_premise_fullish_012_Template_Class rdfs_cext_def owl_bool_intersectionof_class_003 testcase_conclusion_fullish_012_Template_Class rdfs_domain_main owl_restrict_hasvalue
% 0.20/0.49
%------------------------------------------------------------------------------