TSTP Solution File: SWB029+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB029+3 : 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 19:21:34 EDT 2022
% Result : Theorem 18.23s 18.44s
% Output : Refutation 18.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 10 unt; 0 nHn; 26 RR)
% Number of literals : 73 ( 0 equ; 51 neg)
% Maximal clause size : 7 ( 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(12,axiom,
iext(uri_owl_complementOf,skc8,uri_ex_A),
file('SWB029+3.p',unknown),
[] ).
cnf(13,axiom,
iext(uri_rdf_type,uri_ex_w,skc7),
file('SWB029+3.p',unknown),
[] ).
cnf(14,axiom,
iext(uri_rdf_first,skc6,uri_ex_A),
file('SWB029+3.p',unknown),
[] ).
cnf(15,axiom,
iext(uri_rdf_rest,skc6,skc5),
file('SWB029+3.p',unknown),
[] ).
cnf(16,axiom,
iext(uri_owl_intersectionOf,skc7,skc6),
file('SWB029+3.p',unknown),
[] ).
cnf(17,axiom,
iext(uri_rdf_rest,skc5,uri_rdf_nil),
file('SWB029+3.p',unknown),
[] ).
cnf(18,axiom,
iext(uri_rdf_first,skc5,skc8),
file('SWB029+3.p',unknown),
[] ).
cnf(156,axiom,
( ~ iext(uri_rdf_type,u,v)
| icext(v,u) ),
file('SWB029+3.p',unknown),
[] ).
cnf(183,axiom,
( ~ icext(u,v)
| ~ icext(w,v)
| ~ iext(uri_owl_complementOf,w,u) ),
file('SWB029+3.p',unknown),
[] ).
cnf(230,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_intersectionOf,u,y)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| icext(x,v) ),
file('SWB029+3.p',unknown),
[] ).
cnf(231,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_intersectionOf,u,y)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| icext(z,v) ),
file('SWB029+3.p',unknown),
[] ).
cnf(554,plain,
icext(skc7,uri_ex_w),
inference(res,[status(thm),theory(equality)],[13,156]),
[iquote('0:Res:13.0,156.0')] ).
cnf(898,plain,
( ~ icext(uri_ex_A,u)
| ~ icext(skc8,u) ),
inference(res,[status(thm),theory(equality)],[12,183]),
[iquote('0:Res:12.0,183.2')] ).
cnf(2224,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc5)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| ~ iext(uri_rdf_rest,skc5,uri_rdf_nil)
| icext(x,v) ),
inference(res,[status(thm),theory(equality)],[18,231]),
[iquote('0:Res:18.0,231.1')] ).
cnf(2229,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc5)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| icext(x,v) ),
inference(mrr,[status(thm)],[2224,17]),
[iquote('0:MRR:2224.4,17.0')] ).
cnf(2233,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc5)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| ~ iext(uri_rdf_rest,skc5,uri_rdf_nil)
| icext(skc8,v) ),
inference(res,[status(thm),theory(equality)],[18,230]),
[iquote('0:Res:18.0,230.1')] ).
cnf(2238,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_rest,w,skc5)
| ~ iext(uri_rdf_first,w,x)
| ~ iext(uri_owl_intersectionOf,u,w)
| icext(skc8,v) ),
inference(mrr,[status(thm)],[2233,17]),
[iquote('0:MRR:2233.4,17.0')] ).
cnf(19802,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc6,w)
| ~ iext(uri_owl_intersectionOf,u,skc6)
| icext(skc8,v) ),
inference(res,[status(thm),theory(equality)],[15,2238]),
[iquote('0:Res:15.0,2238.1')] ).
cnf(20536,plain,
( ~ icext(u,v)
| ~ iext(uri_rdf_first,skc6,w)
| ~ iext(uri_owl_intersectionOf,u,skc6)
| icext(w,v) ),
inference(res,[status(thm),theory(equality)],[15,2229]),
[iquote('0:Res:15.0,2229.1')] ).
cnf(24999,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_intersectionOf,u,skc6)
| icext(skc8,v) ),
inference(res,[status(thm),theory(equality)],[14,19802]),
[iquote('0:Res:14.0,19802.1')] ).
cnf(25006,plain,
( ~ icext(skc7,u)
| icext(skc8,u) ),
inference(res,[status(thm),theory(equality)],[16,24999]),
[iquote('0:Res:16.0,24999.1')] ).
cnf(25465,plain,
( ~ icext(u,v)
| ~ iext(uri_owl_intersectionOf,u,skc6)
| icext(uri_ex_A,v) ),
inference(res,[status(thm),theory(equality)],[14,20536]),
[iquote('0:Res:14.0,20536.1')] ).
cnf(25472,plain,
( ~ icext(skc7,u)
| icext(uri_ex_A,u) ),
inference(res,[status(thm),theory(equality)],[16,25465]),
[iquote('0:Res:16.0,25465.1')] ).
cnf(25492,plain,
( ~ icext(skc7,u)
| ~ icext(skc8,u) ),
inference(res,[status(thm),theory(equality)],[25472,898]),
[iquote('0:Res:25472.1,898.0')] ).
cnf(25531,plain,
~ icext(skc7,u),
inference(mrr,[status(thm)],[25492,25006]),
[iquote('0:MRR:25492.1,25006.1')] ).
cnf(25532,plain,
$false,
inference(unc,[status(thm)],[25531,554]),
[iquote('0:UnC:25531.0,554.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB029+3 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.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 07:15:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 18.23/18.44
% 18.23/18.44 SPASS V 3.9
% 18.23/18.44 SPASS beiseite: Proof found.
% 18.23/18.44 % SZS status Theorem
% 18.23/18.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.23/18.44 SPASS derived 24095 clauses, backtracked 501 clauses, performed 35 splits and kept 14650 clauses.
% 18.23/18.44 SPASS allocated 117097 KBytes.
% 18.23/18.44 SPASS spent 0:0:17.89 on the problem.
% 18.23/18.44 0:00:00.04 for the input.
% 18.23/18.44 0:00:00.22 for the FLOTTER CNF translation.
% 18.23/18.44 0:00:00.34 for inferences.
% 18.23/18.44 0:00:01.53 for the backtracking.
% 18.23/18.44 0:0:15.15 for the reduction.
% 18.23/18.44
% 18.23/18.44
% 18.23/18.44 Here is a proof with depth 5, length 26 :
% 18.23/18.44 % SZS output start Refutation
% See solution above
% 18.23/18.44 Formulae used in the proof : testcase_premise_fullish_029_Ex_Falso_Quodlibet rdfs_cext_def owl_bool_complementof_class owl_bool_intersectionof_class_002
% 18.23/18.44
%------------------------------------------------------------------------------