TSTP Solution File: SWB026+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 19:21:31 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 13 unt; 10 nHn; 34 RR)
% Number of literals : 75 ( 0 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('SWB026+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdfs_domain,uri_ex,skc15),
file('SWB026+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdf_first,skc14,uri_ex_w),
file('SWB026+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_rdf_rest,skc14,uri_rdf_nil),
file('SWB026+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_owl_oneOf,skc15,skc14),
file('SWB026+2.p',unknown),
[] ).
cnf(10,axiom,
~ iext(uri_rdf_type,uri_ex,uri_owl_InverseFunctionalProperty),
file('SWB026+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ iext(uri_rdf_type,u,uri_rdf_Property)
| ip(u) ),
file('SWB026+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB026+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ ip(u)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(u,skf7(u),skf5(u)) ),
file('SWB026+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ ip(u)
| ~ equal(skf7(u),skf6(u))
| icext(uri_owl_InverseFunctionalProperty,u) ),
file('SWB026+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ ip(u)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(u,skf6(u),skf5(u)) ),
file('SWB026+2.p',unknown),
[] ).
cnf(19,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_rdfs_domain,u,x)
| icext(x,v) ),
file('SWB026+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_oneOf,u,w)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| equal(v,x) ),
file('SWB026+2.p',unknown),
[] ).
cnf(26,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex),
inference(res,[status(thm),theory(equality)],[15,10]),
[iquote('0:Res:15.1,10.0')] ).
cnf(29,plain,
( ~ icext(uri_rdf_Property,u)
| ip(u) ),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.1,12.0')] ).
cnf(33,plain,
( ~ ip(uri_ex)
| ~ equal(skf7(uri_ex),skf6(uri_ex)) ),
inference(res,[status(thm),theory(equality)],[17,26]),
[iquote('0:Res:17.2,26.0')] ).
cnf(42,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,u)
| icext(u,uri_ex) ),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.0')] ).
cnf(48,plain,
( ~ ip(u)
| ~ iext(uri_rdfs_domain,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| icext(v,skf6(u)) ),
inference(res,[status(thm),theory(equality)],[18,19]),
[iquote('0:Res:18.2,19.0')] ).
cnf(49,plain,
( ~ ip(u)
| ~ iext(uri_rdfs_domain,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| icext(v,skf7(u)) ),
inference(res,[status(thm),theory(equality)],[16,19]),
[iquote('0:Res:16.2,19.0')] ).
cnf(71,plain,
icext(uri_rdf_Property,uri_ex),
inference(res,[status(thm),theory(equality)],[1,42]),
[iquote('0:Res:1.0,42.0')] ).
cnf(72,plain,
ip(uri_ex),
inference(res,[status(thm),theory(equality)],[71,29]),
[iquote('0:Res:71.0,29.0')] ).
cnf(73,plain,
~ equal(skf7(uri_ex),skf6(uri_ex)),
inference(mrr,[status(thm)],[33,72]),
[iquote('0:MRR:33.0,72.0')] ).
cnf(74,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc14)
| ~ iext(uri_rdf_rest,skc14,uri_rdf_nil)
| equal(v,uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[3,23]),
[iquote('0:Res:3.0,23.1')] ).
cnf(78,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc14)
| equal(v,uri_ex_w) ),
inference(mrr,[status(thm)],[74,8]),
[iquote('0:MRR:74.2,8.0')] ).
cnf(109,plain,
( ~ icext(skc15,u)
| equal(u,uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[9,78]),
[iquote('0:Res:9.0,78.1')] ).
cnf(128,plain,
( ~ ip(u)
| ~ iext(uri_rdfs_domain,u,skc15)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf6(u),uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[48,109]),
[iquote('0:Res:48.3,109.0')] ).
cnf(140,plain,
( ~ ip(uri_ex)
| icext(uri_owl_InverseFunctionalProperty,uri_ex)
| equal(skf6(uri_ex),uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[2,128]),
[iquote('0:Res:2.0,128.1')] ).
cnf(141,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex)
| equal(skf6(uri_ex),uri_ex_w) ),
inference(ssi,[status(thm)],[140,72]),
[iquote('0:SSi:140.0,72.0')] ).
cnf(142,plain,
equal(skf6(uri_ex),uri_ex_w),
inference(mrr,[status(thm)],[141,26]),
[iquote('0:MRR:141.0,26.0')] ).
cnf(143,plain,
~ equal(skf7(uri_ex),uri_ex_w),
inference(rew,[status(thm),theory(equality)],[142,73]),
[iquote('0:Rew:142.0,73.0')] ).
cnf(146,plain,
( ~ ip(u)
| ~ iext(uri_rdfs_domain,u,skc15)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf7(u),uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[49,109]),
[iquote('0:Res:49.3,109.0')] ).
cnf(180,plain,
( ~ ip(uri_ex)
| icext(uri_owl_InverseFunctionalProperty,uri_ex)
| equal(skf7(uri_ex),uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[2,146]),
[iquote('0:Res:2.0,146.1')] ).
cnf(181,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex)
| equal(skf7(uri_ex),uri_ex_w) ),
inference(ssi,[status(thm)],[180,72]),
[iquote('0:SSi:180.0,72.0')] ).
cnf(182,plain,
$false,
inference(mrr,[status(thm)],[181,26,143]),
[iquote('0:MRR:181.0,181.1,26.0,143.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.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 04:17:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 135 clauses, backtracked 0 clauses, performed 1 splits and kept 123 clauses.
% 0.19/0.48 SPASS allocated 97921 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.01 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 4, length 34 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : rdfs_domain_domain testcase_premise_fullish_026_Inferred_Property_Characteristics_I testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I rdf_type_ip rdfs_cext_def owl_char_inversefunctional rdfs_domain_main owl_enum_class_001
% 0.19/0.48
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