TSTP Solution File: SWB014+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 19:21:12 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 14 unt; 6 nHn; 24 RR)
% Number of literals : 55 ( 0 equ; 30 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdf_type,uri_ex_harry,skc11),
file('SWB014+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_owl_unionOf,skc11,skc10),
file('SWB014+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_rdf_rest,skc10,skc9),
file('SWB014+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_rdf_first,skc10,uri_ex_Eagle),
file('SWB014+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_first,skc9,uri_ex_Falcon),
file('SWB014+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_rest,skc9,uri_rdf_nil),
file('SWB014+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
file('SWB014+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
file('SWB014+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB014+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB014+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ iext(uri_rdf_type,u,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,u) ),
file('SWB014+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_rdf_rest,y,w)
| ~ iext(uri_rdf_first,y,z)
| ~ iext(uri_owl_unionOf,u,y)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| icext(x,v)
| icext(z,v) ),
file('SWB014+2.p',unknown),
[] ).
cnf(22,plain,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(res,[status(thm),theory(equality)],[8,11]),
[iquote('0:Res:8.0,11.1')] ).
cnf(23,plain,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
inference(res,[status(thm),theory(equality)],[7,11]),
[iquote('0:Res:7.0,11.1')] ).
cnf(27,plain,
~ icext(uri_ex_Falcon,uri_ex_harry),
inference(res,[status(thm),theory(equality)],[10,23]),
[iquote('0:Res:10.1,23.0')] ).
cnf(28,plain,
~ icext(uri_ex_Eagle,uri_ex_harry),
inference(res,[status(thm),theory(equality)],[10,22]),
[iquote('0:Res:10.1,22.0')] ).
cnf(32,plain,
icext(skc11,uri_ex_harry),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(67,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc9)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_unionOf,u,w)
| ~ iext(uri_rdf_rest,skc9,uri_rdf_nil)
| icext(uri_ex_Falcon,v)
| icext(x,v) ),
inference(res,[status(thm),theory(equality)],[5,17]),
[iquote('0:Res:5.0,17.1')] ).
cnf(69,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc9)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_unionOf,u,w)
| icext(uri_ex_Falcon,v)
| icext(x,v) ),
inference(mrr,[status(thm)],[67,6]),
[iquote('0:MRR:67.4,6.0')] ).
cnf(73,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc10,w)
| ~ iext(uri_owl_unionOf,u,skc10)
| icext(uri_ex_Falcon,v)
| icext(w,v) ),
inference(res,[status(thm),theory(equality)],[3,69]),
[iquote('0:Res:3.0,69.1')] ).
cnf(74,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_unionOf,u,skc10)
| icext(uri_ex_Falcon,v)
| icext(uri_ex_Eagle,v) ),
inference(res,[status(thm),theory(equality)],[4,73]),
[iquote('0:Res:4.0,73.1')] ).
cnf(75,plain,
( ~ icext(skc11,u)
| icext(uri_ex_Falcon,u)
| icext(uri_ex_Eagle,u) ),
inference(res,[status(thm),theory(equality)],[2,74]),
[iquote('0:Res:2.0,74.1')] ).
cnf(76,plain,
( ~ icext(skc11,uri_ex_harry)
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(res,[status(thm),theory(equality)],[75,28]),
[iquote('0:Res:75.2,28.0')] ).
cnf(81,plain,
$false,
inference(mrr,[status(thm)],[76,32,27]),
[iquote('0:MRR:76.0,76.1,32.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 08:53:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 51 clauses, backtracked 0 clauses, performed 0 splits and kept 65 clauses.
% 0.19/0.47 SPASS allocated 98107 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.03 for the input.
% 0.19/0.47 0:00:00.05 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.00 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.01 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 5, length 24 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : testcase_premise_fullish_014_Harry_belongs_to_some_Species rdfs_cext_def testcase_conclusion_fullish_014_Harry_belongs_to_some_Species owl_bool_unionof_class_002
% 0.19/0.47
%------------------------------------------------------------------------------