TSTP Solution File: SWB031+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB031+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 19:21:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ir(u),
file('SWB031+2.p',unknown),
[] ).
cnf(2,axiom,
~ icext(uri_owl_Nothing,u),
file('SWB031+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_equivalentClass,uri_owl_Thing,skc9),
file('SWB031+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_owl_oneOf,skc9,skc8),
file('SWB031+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_rest,skc8,uri_rdf_nil),
file('SWB031+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_first,skc8,uri_ex_w),
file('SWB031+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ ir(u)
| icext(uri_owl_Thing,u) ),
file('SWB031+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_equivalentClass,u,w)
| icext(w,v) ),
file('SWB031+2.p',unknown),
[] ).
cnf(18,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('SWB031+2.p',unknown),
[] ).
cnf(20,plain,
icext(uri_owl_Thing,u),
inference(mrr,[status(thm)],[8,1]),
[iquote('0:MRR:8.0,1.0')] ).
cnf(27,plain,
( ~ icext(uri_owl_Thing,u)
| icext(skc9,u) ),
inference(res,[status(thm),theory(equality)],[3,12]),
[iquote('0:Res:3.0,12.1')] ).
cnf(28,plain,
icext(skc9,u),
inference(mrr,[status(thm)],[27,20]),
[iquote('0:MRR:27.0,20.0')] ).
cnf(36,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc8)
| ~ iext(uri_rdf_rest,skc8,uri_rdf_nil)
| equal(v,uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.1')] ).
cnf(37,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc8)
| equal(v,uri_ex_w) ),
inference(mrr,[status(thm)],[36,5]),
[iquote('0:MRR:36.2,5.0')] ).
cnf(38,plain,
( ~ icext(skc9,u)
| equal(u,uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[4,37]),
[iquote('0:Res:4.0,37.1')] ).
cnf(39,plain,
equal(u,uri_ex_w),
inference(mrr,[status(thm)],[38,28]),
[iquote('0:MRR:38.0,28.0')] ).
cnf(59,plain,
equal(u,v),
inference(spr,[status(thm),theory(equality)],[39]),
[iquote('0:SpR:39.0,39.0')] ).
cnf(66,plain,
icext(u,v),
inference(spr,[status(thm),theory(equality)],[59,20]),
[iquote('0:SpR:59.0,20.0')] ).
cnf(80,plain,
$false,
inference(unc,[status(thm)],[66,2]),
[iquote('0:UnC:66.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB031+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 00:47:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 53 clauses, backtracked 0 clauses, performed 0 splits and kept 60 clauses.
% 0.19/0.46 SPASS allocated 97864 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.00 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 4, length 19 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : simple_ir owl_class_nothing_ext testcase_premise_fullish_031_Large_Universe owl_class_thing_ext owl_eqdis_equivalentclass owl_enum_class_001
% 0.19/0.46
%------------------------------------------------------------------------------