TSTP Solution File: SWB030+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB030+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 19:21:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 7 unt; 3 nHn; 22 RR)
% Number of literals : 47 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_owl_complementOf,uri_ex_c,skc1),
file('SWB030+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_onProperty,skc1,uri_rdf_type),
file('SWB030+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_owl_hasSelf,skc1,literal_typed(dat_str_true,uri_xsd_boolean)),
file('SWB030+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB030+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB030+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ iext(uri_owl_complementOf,u,v)
| icext(u,w)
| icext(v,w) ),
file('SWB030+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ icext(u,v)
| ~ icext(w,v)
| ~ iext(uri_owl_complementOf,w,u) ),
file('SWB030+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_onProperty,u,w)
| ~ iext(uri_owl_hasSelf,u,x)
| iext(w,v,v) ),
file('SWB030+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ iext(u,v,v)
| ~ iext(uri_owl_onProperty,w,u)
| ~ iext(uri_owl_hasSelf,w,x)
| icext(w,v) ),
file('SWB030+2.p',unknown),
[] ).
cnf(19,plain,
( icext(uri_ex_c,u)
| icext(skc1,u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(20,plain,
( ~ icext(skc1,u)
| ~ icext(uri_ex_c,u) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.2')] ).
cnf(22,plain,
( ~ icext(skc1,u)
| ~ iext(uri_owl_hasSelf,skc1,v)
| iext(uri_rdf_type,u,u) ),
inference(res,[status(thm),theory(equality)],[3,12]),
[iquote('0:Res:3.0,12.1')] ).
cnf(23,plain,
( ~ icext(skc1,u)
| iext(uri_rdf_type,u,u) ),
inference(res,[status(thm),theory(equality)],[5,22]),
[iquote('0:Res:5.0,22.1')] ).
cnf(24,plain,
( ~ icext(u,u)
| ~ iext(uri_owl_onProperty,v,uri_rdf_type)
| ~ iext(uri_owl_hasSelf,v,w)
| icext(v,u) ),
inference(res,[status(thm),theory(equality)],[9,13]),
[iquote('0:Res:9.1,13.0')] ).
cnf(25,plain,
( ~ icext(skc1,u)
| icext(u,u) ),
inference(res,[status(thm),theory(equality)],[23,8]),
[iquote('0:Res:23.1,8.0')] ).
cnf(28,plain,
( ~ icext(u,u)
| ~ iext(uri_owl_hasSelf,skc1,v)
| icext(skc1,u) ),
inference(res,[status(thm),theory(equality)],[3,24]),
[iquote('0:Res:3.0,24.1')] ).
cnf(29,plain,
( ~ icext(u,u)
| icext(skc1,u) ),
inference(res,[status(thm),theory(equality)],[5,28]),
[iquote('0:Res:5.0,28.1')] ).
cnf(30,plain,
( icext(skc1,uri_ex_c)
| icext(skc1,uri_ex_c) ),
inference(res,[status(thm),theory(equality)],[19,29]),
[iquote('0:Res:19.0,29.0')] ).
cnf(31,plain,
icext(skc1,uri_ex_c),
inference(obv,[status(thm),theory(equality)],[30]),
[iquote('0:Obv:30.0')] ).
cnf(32,plain,
icext(uri_ex_c,uri_ex_c),
inference(res,[status(thm),theory(equality)],[31,25]),
[iquote('0:Res:31.0,25.0')] ).
cnf(33,plain,
~ icext(skc1,uri_ex_c),
inference(res,[status(thm),theory(equality)],[32,20]),
[iquote('0:Res:32.0,20.1')] ).
cnf(35,plain,
$false,
inference(mrr,[status(thm)],[33,31]),
[iquote('0:MRR:33.0,31.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 04:45:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 20 clauses, backtracked 0 clauses, performed 0 splits and kept 29 clauses.
% 0.19/0.44 SPASS allocated 85131 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.44 0:00:00.03 for the input.
% 0.19/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.00 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 6, length 22 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : testcase_premise_fullish_030_Bad_Class rdfs_cext_def owl_bool_complementof_class owl_restrict_hasself
% 0.19/0.44
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