TSTP Solution File: SWB023+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB023+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 19:21:19 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 12 unt; 0 nHn; 25 RR)
% Number of literals : 47 ( 0 equ; 27 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdf_type,uri_ex_w,skc10),
file('SWB023+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_oneOf,skc10,skc9),
file('SWB023+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_rdf_rest,skc9,uri_rdf_nil),
file('SWB023+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_first,skc9,uri_ex_v),
file('SWB023+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_rdf_first,skc9,uri_ex_u),
file('SWB023+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
file('SWB023+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB023+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(u,v)
| iext(uri_owl_sameAs,u,v) ),
file('SWB023+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('SWB023+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ icext(uri_owl_FunctionalProperty,u)
| ~ iext(u,v,w)
| ~ iext(u,v,x)
| equal(x,w) ),
file('SWB023+2.p',unknown),
[] ).
cnf(20,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('SWB023+2.p',unknown),
[] ).
cnf(24,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(res,[status(thm),theory(equality)],[7,9]),
[iquote('0:Res:7.0,9.0')] ).
cnf(25,plain,
icext(skc10,uri_ex_w),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(29,plain,
( ~ equal(uri_ex_v,uri_ex_w)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(res,[status(thm),theory(equality)],[12,13]),
[iquote('0:Res:12.1,13.0')] ).
cnf(30,plain,
( ~ equal(uri_ex_u,uri_ex_w)
| ~ equal(uri_ex_v,uri_ex_w) ),
inference(res,[status(thm),theory(equality)],[12,29]),
[iquote('0:Res:12.1,29.1')] ).
cnf(46,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,skc9,u)
| equal(u,uri_ex_u) ),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.1')] ).
cnf(54,plain,
( ~ iext(uri_rdf_first,skc9,u)
| equal(u,uri_ex_u) ),
inference(mrr,[status(thm)],[46,24]),
[iquote('0:MRR:46.0,24.0')] ).
cnf(57,plain,
equal(uri_ex_v,uri_ex_u),
inference(res,[status(thm),theory(equality)],[5,54]),
[iquote('0:Res:5.0,54.0')] ).
cnf(60,plain,
( ~ equal(uri_ex_u,uri_ex_w)
| ~ equal(uri_ex_u,uri_ex_w) ),
inference(rew,[status(thm),theory(equality)],[57,30]),
[iquote('0:Rew:57.0,30.1')] ).
cnf(63,plain,
~ equal(uri_ex_u,uri_ex_w),
inference(obv,[status(thm),theory(equality)],[60]),
[iquote('0:Obv:60.0')] ).
cnf(67,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc9)
| ~ iext(uri_rdf_rest,skc9,uri_rdf_nil)
| equal(v,uri_ex_u) ),
inference(res,[status(thm),theory(equality)],[6,20]),
[iquote('0:Res:6.0,20.1')] ).
cnf(70,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_oneOf,u,skc9)
| equal(v,uri_ex_u) ),
inference(mrr,[status(thm)],[67,4]),
[iquote('0:MRR:67.2,4.0')] ).
cnf(90,plain,
( ~ icext(skc10,u)
| equal(u,uri_ex_u) ),
inference(res,[status(thm),theory(equality)],[3,70]),
[iquote('0:Res:3.0,70.1')] ).
cnf(91,plain,
equal(uri_ex_u,uri_ex_w),
inference(res,[status(thm),theory(equality)],[25,90]),
[iquote('0:Res:25.0,90.0')] ).
cnf(92,plain,
$false,
inference(mrr,[status(thm)],[91,63]),
[iquote('0:MRR:91.0,63.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 03:23:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 59 clauses, backtracked 0 clauses, performed 0 splits and kept 54 clauses.
% 0.19/0.45 SPASS allocated 97934 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 25 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : testcase_premise_fullish_023_Unique_List_Components rdfs_cext_def owl_eqdis_sameas testcase_conclusion_fullish_023_Unique_List_Components owl_char_functional owl_enum_class_001
% 0.19/0.45
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