TSTP Solution File: SWB009+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 19:20:58 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 6 unt; 0 nHn; 16 RR)
% Number of literals : 33 ( 0 equ; 20 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 : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdf_type,uri_ex_s,skc4),
file('SWB009+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_onProperty,skc4,uri_ex),
file('SWB009+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_owl_someValuesFrom,skc4,uri_ex_c),
file('SWB009+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB009+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ icext(u,v)
| iext(uri_rdf_type,v,u) ),
file('SWB009+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ iext(uri_rdf_type,u,uri_ex_c)
| ~ iext(uri_ex,uri_ex_s,u) ),
file('SWB009+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_someValuesFrom,u,w)
| ~ iext(uri_owl_onProperty,u,x)
| icext(w,skf1(w,y,z)) ),
file('SWB009+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_someValuesFrom,u,w)
| ~ iext(uri_owl_onProperty,u,x)
| iext(x,v,skf1(w,v,x)) ),
file('SWB009+2.p',unknown),
[] ).
cnf(15,plain,
icext(skc4,uri_ex_s),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(18,plain,
( ~ icext(uri_ex_c,u)
| ~ iext(uri_ex,uri_ex_s,u) ),
inference(res,[status(thm),theory(equality)],[8,9]),
[iquote('0:Res:8.1,9.0')] ).
cnf(19,plain,
( ~ icext(skc4,u)
| ~ iext(uri_owl_onProperty,skc4,v)
| icext(uri_ex_c,skf1(uri_ex_c,w,x)) ),
inference(res,[status(thm),theory(equality)],[4,10]),
[iquote('0:Res:4.0,10.1')] ).
cnf(20,plain,
( ~ icext(skc4,u)
| icext(uri_ex_c,skf1(uri_ex_c,v,w)) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.1')] ).
cnf(21,plain,
icext(uri_ex_c,skf1(uri_ex_c,u,v)),
inference(res,[status(thm),theory(equality)],[15,20]),
[iquote('0:Res:15.0,20.0')] ).
cnf(22,plain,
( ~ icext(skc4,u)
| ~ iext(uri_owl_onProperty,skc4,v)
| iext(v,u,skf1(uri_ex_c,u,v)) ),
inference(res,[status(thm),theory(equality)],[4,11]),
[iquote('0:Res:4.0,11.1')] ).
cnf(31,plain,
( ~ icext(skc4,uri_ex_s)
| ~ iext(uri_owl_onProperty,skc4,uri_ex)
| ~ icext(uri_ex_c,skf1(uri_ex_c,uri_ex_s,uri_ex)) ),
inference(res,[status(thm),theory(equality)],[22,18]),
[iquote('0:Res:22.2,18.1')] ).
cnf(35,plain,
$false,
inference(mrr,[status(thm)],[31,15,3,21]),
[iquote('0:MRR:31.0,31.1,31.2,15.0,3.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 09:04:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.20/0.46 SPASS allocated 85253 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.00 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 3, length 16 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : testcase_premise_fullish_009_Existential_Restriction_Entailments rdfs_cext_def testcase_conclusion_fullish_009_Existential_Restriction_Entailments owl_restrict_somevaluesfrom
% 0.20/0.46
%------------------------------------------------------------------------------