TSTP Solution File: SWB022+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 19:21:18 EDT 2022
% Result : Theorem 0.37s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 60 ( 25 unt; 0 nHn; 60 RR)
% Number of literals : 178 ( 0 equ; 121 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skc24),
file('SWB022+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_rdf_first,skc23,skc24),
file('SWB022+2.p',unknown),
[] ).
cnf(3,axiom,
iext(uri_owl_propertyChainAxiom,skc24,skc21),
file('SWB022+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_rdf_first,skc21,skc24),
file('SWB022+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_rdf_rest,skc23,skc22),
file('SWB022+2.p',unknown),
[] ).
cnf(6,axiom,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skc23),
file('SWB022+2.p',unknown),
[] ).
cnf(7,axiom,
iext(uri_rdf_first,skc22,uri_rdf_first),
file('SWB022+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_rdf_rest,skc22,uri_rdf_nil),
file('SWB022+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_rdf_rest,skc21,skc20),
file('SWB022+2.p',unknown),
[] ).
cnf(10,axiom,
iext(uri_rdf_rest,skc19,skc18),
file('SWB022+2.p',unknown),
[] ).
cnf(11,axiom,
iext(uri_rdf_first,skc19,uri_ex_X),
file('SWB022+2.p',unknown),
[] ).
cnf(12,axiom,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skc19),
file('SWB022+2.p',unknown),
[] ).
cnf(13,axiom,
iext(uri_rdf_first,skc18,uri_ex_Y),
file('SWB022+2.p',unknown),
[] ).
cnf(14,axiom,
iext(uri_rdf_rest,skc18,skc17),
file('SWB022+2.p',unknown),
[] ).
cnf(16,axiom,
iext(uri_rdf_first,skc17,uri_ex_Z),
file('SWB022+2.p',unknown),
[] ).
cnf(18,axiom,
iext(uri_rdf_first,skc20,uri_rdf_rest),
file('SWB022+2.p',unknown),
[] ).
cnf(19,axiom,
iext(uri_rdf_rest,skc20,uri_rdf_nil),
file('SWB022+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_rdfs_subPropertyOf,u,x)
| iext(x,v,w) ),
file('SWB022+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
file('SWB022+2.p',unknown),
[] ).
cnf(27,axiom,
( ~ iext(u,v,w)
| ~ iext(x,y,v)
| ~ iext(uri_rdf_first,z,u)
| ~ iext(uri_rdf_rest,x1,z)
| ~ iext(uri_rdf_first,x1,x)
| ~ iext(uri_owl_propertyChainAxiom,x2,x1)
| ~ iext(uri_rdf_rest,z,uri_rdf_nil)
| iext(x2,y,w) ),
file('SWB022+2.p',unknown),
[] ).
cnf(41,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,u)
| iext(u,uri_ex_MyOrderedCollection,skc19) ),
inference(res,[status(thm),theory(equality)],[12,22]),
[iquote('0:Res:12.0,22.0')] ).
cnf(57,plain,
iext(skc24,uri_ex_MyOrderedCollection,skc19),
inference(res,[status(thm),theory(equality)],[1,41]),
[iquote('0:Res:1.0,41.0')] ).
cnf(94,plain,
( ~ iext(u,v,skc17)
| ~ iext(uri_rdf_first,w,uri_rdf_first)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,uri_ex_Z) ),
inference(res,[status(thm),theory(equality)],[16,27]),
[iquote('0:Res:16.0,27.0')] ).
cnf(96,plain,
( ~ iext(u,v,skc18)
| ~ iext(uri_rdf_first,w,uri_rdf_rest)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,skc17) ),
inference(res,[status(thm),theory(equality)],[14,27]),
[iquote('0:Res:14.0,27.0')] ).
cnf(97,plain,
( ~ iext(u,v,skc18)
| ~ iext(uri_rdf_first,w,uri_rdf_first)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,uri_ex_Y) ),
inference(res,[status(thm),theory(equality)],[13,27]),
[iquote('0:Res:13.0,27.0')] ).
cnf(98,plain,
( ~ iext(u,v,skc19)
| ~ iext(uri_rdf_first,w,uri_rdf_first)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,uri_ex_X) ),
inference(res,[status(thm),theory(equality)],[11,27]),
[iquote('0:Res:11.0,27.0')] ).
cnf(99,plain,
( ~ iext(u,v,skc19)
| ~ iext(uri_rdf_first,w,uri_rdf_rest)
| ~ iext(uri_rdf_rest,x,w)
| ~ iext(uri_rdf_first,x,u)
| ~ iext(uri_owl_propertyChainAxiom,y,x)
| ~ iext(uri_rdf_rest,w,uri_rdf_nil)
| iext(y,v,skc18) ),
inference(res,[status(thm),theory(equality)],[10,27]),
[iquote('0:Res:10.0,27.0')] ).
cnf(214,plain,
( ~ iext(uri_rdf_first,u,uri_rdf_rest)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,skc24)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_MyOrderedCollection,skc18) ),
inference(res,[status(thm),theory(equality)],[57,99]),
[iquote('0:Res:57.0,99.0')] ).
cnf(215,plain,
( ~ iext(uri_rdf_rest,u,skc20)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc20,uri_rdf_nil)
| iext(v,uri_ex_MyOrderedCollection,skc18) ),
inference(res,[status(thm),theory(equality)],[18,214]),
[iquote('0:Res:18.0,214.0')] ).
cnf(216,plain,
( ~ iext(uri_rdf_rest,u,skc20)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_MyOrderedCollection,skc18) ),
inference(mrr,[status(thm)],[215,19]),
[iquote('0:MRR:215.3,19.0')] ).
cnf(217,plain,
( ~ iext(uri_rdf_first,skc21,skc24)
| ~ iext(uri_owl_propertyChainAxiom,u,skc21)
| iext(u,uri_ex_MyOrderedCollection,skc18) ),
inference(res,[status(thm),theory(equality)],[9,216]),
[iquote('0:Res:9.0,216.0')] ).
cnf(218,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc21)
| iext(u,uri_ex_MyOrderedCollection,skc18) ),
inference(mrr,[status(thm)],[217,4]),
[iquote('0:MRR:217.0,4.0')] ).
cnf(219,plain,
iext(skc24,uri_ex_MyOrderedCollection,skc18),
inference(res,[status(thm),theory(equality)],[3,218]),
[iquote('0:Res:3.0,218.0')] ).
cnf(222,plain,
( ~ iext(uri_rdf_first,u,uri_rdf_first)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,skc24)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(res,[status(thm),theory(equality)],[57,98]),
[iquote('0:Res:57.0,98.0')] ).
cnf(250,plain,
( ~ iext(uri_rdf_first,u,uri_rdf_first)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,skc24)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(res,[status(thm),theory(equality)],[219,97]),
[iquote('0:Res:219.0,97.0')] ).
cnf(256,plain,
( ~ iext(uri_rdf_first,u,uri_rdf_rest)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,skc24)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_MyOrderedCollection,skc17) ),
inference(res,[status(thm),theory(equality)],[219,96]),
[iquote('0:Res:219.0,96.0')] ).
cnf(271,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc22,uri_rdf_nil)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(res,[status(thm),theory(equality)],[7,222]),
[iquote('0:Res:7.0,222.0')] ).
cnf(272,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(mrr,[status(thm)],[271,8]),
[iquote('0:MRR:271.3,8.0')] ).
cnf(273,plain,
( ~ iext(uri_rdf_first,skc23,skc24)
| ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(res,[status(thm),theory(equality)],[5,272]),
[iquote('0:Res:5.0,272.0')] ).
cnf(274,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(mrr,[status(thm)],[273,2]),
[iquote('0:MRR:273.0,2.0')] ).
cnf(275,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(res,[status(thm),theory(equality)],[6,274]),
[iquote('0:Res:6.0,274.0')] ).
cnf(277,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(mrr,[status(thm)],[23,275]),
[iquote('0:MRR:23.2,275.0')] ).
cnf(609,plain,
( ~ iext(uri_rdf_rest,u,skc20)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc20,uri_rdf_nil)
| iext(v,uri_ex_MyOrderedCollection,skc17) ),
inference(res,[status(thm),theory(equality)],[18,256]),
[iquote('0:Res:18.0,256.0')] ).
cnf(610,plain,
( ~ iext(uri_rdf_rest,u,skc20)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_MyOrderedCollection,skc17) ),
inference(mrr,[status(thm)],[609,19]),
[iquote('0:MRR:609.3,19.0')] ).
cnf(611,plain,
( ~ iext(uri_rdf_first,skc21,skc24)
| ~ iext(uri_owl_propertyChainAxiom,u,skc21)
| iext(u,uri_ex_MyOrderedCollection,skc17) ),
inference(res,[status(thm),theory(equality)],[9,610]),
[iquote('0:Res:9.0,610.0')] ).
cnf(612,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc21)
| iext(u,uri_ex_MyOrderedCollection,skc17) ),
inference(mrr,[status(thm)],[611,4]),
[iquote('0:MRR:611.0,4.0')] ).
cnf(613,plain,
iext(skc24,uri_ex_MyOrderedCollection,skc17),
inference(res,[status(thm),theory(equality)],[3,612]),
[iquote('0:Res:3.0,612.0')] ).
cnf(616,plain,
( ~ iext(uri_rdf_first,u,uri_rdf_first)
| ~ iext(uri_rdf_rest,v,u)
| ~ iext(uri_rdf_first,v,skc24)
| ~ iext(uri_owl_propertyChainAxiom,w,v)
| ~ iext(uri_rdf_rest,u,uri_rdf_nil)
| iext(w,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(res,[status(thm),theory(equality)],[613,94]),
[iquote('0:Res:613.0,94.0')] ).
cnf(619,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc22,uri_rdf_nil)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(res,[status(thm),theory(equality)],[7,250]),
[iquote('0:Res:7.0,250.0')] ).
cnf(620,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(mrr,[status(thm)],[619,8]),
[iquote('0:MRR:619.3,8.0')] ).
cnf(621,plain,
( ~ iext(uri_rdf_first,skc23,skc24)
| ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(res,[status(thm),theory(equality)],[5,620]),
[iquote('0:Res:5.0,620.0')] ).
cnf(622,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(mrr,[status(thm)],[621,2]),
[iquote('0:MRR:621.0,2.0')] ).
cnf(626,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(res,[status(thm),theory(equality)],[6,622]),
[iquote('0:Res:6.0,622.0')] ).
cnf(628,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(mrr,[status(thm)],[277,626]),
[iquote('0:MRR:277.1,626.0')] ).
cnf(678,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| ~ iext(uri_rdf_rest,skc22,uri_rdf_nil)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(res,[status(thm),theory(equality)],[7,616]),
[iquote('0:Res:7.0,616.0')] ).
cnf(679,plain,
( ~ iext(uri_rdf_rest,u,skc22)
| ~ iext(uri_rdf_first,u,skc24)
| ~ iext(uri_owl_propertyChainAxiom,v,u)
| iext(v,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(mrr,[status(thm)],[678,8]),
[iquote('0:MRR:678.3,8.0')] ).
cnf(681,plain,
( ~ iext(uri_rdf_first,skc23,skc24)
| ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(res,[status(thm),theory(equality)],[5,679]),
[iquote('0:Res:5.0,679.0')] ).
cnf(682,plain,
( ~ iext(uri_owl_propertyChainAxiom,u,skc23)
| iext(u,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(mrr,[status(thm)],[681,2]),
[iquote('0:MRR:681.0,2.0')] ).
cnf(683,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(res,[status(thm),theory(equality)],[6,682]),
[iquote('0:Res:6.0,682.0')] ).
cnf(685,plain,
$false,
inference(mrr,[status(thm)],[683,628]),
[iquote('0:MRR:683.0,628.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 11:29:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.62
% 0.37/0.62 SPASS V 3.9
% 0.37/0.62 SPASS beiseite: Proof found.
% 0.37/0.62 % SZS status Theorem
% 0.37/0.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.62 SPASS derived 507 clauses, backtracked 15 clauses, performed 6 splits and kept 495 clauses.
% 0.37/0.62 SPASS allocated 98353 KBytes.
% 0.37/0.62 SPASS spent 0:00:00.29 on the problem.
% 0.37/0.62 0:00:00.03 for the input.
% 0.37/0.62 0:00:00.06 for the FLOTTER CNF translation.
% 0.37/0.62 0:00:00.02 for inferences.
% 0.37/0.62 0:00:00.00 for the backtracking.
% 0.37/0.62 0:00:00.15 for the reduction.
% 0.37/0.62
% 0.37/0.62
% 0.37/0.62 Here is a proof with depth 14, length 60 :
% 0.37/0.62 % SZS output start Refutation
% See solution above
% 0.46/0.63 Formulae used in the proof : testcase_premise_fullish_022_List_Member_Access rdfs_subpropertyof_main testcase_conclusion_fullish_022_List_Member_Access owl_chain_002
% 0.46/0.63
%------------------------------------------------------------------------------