TSTP Solution File: SWB012+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 : 300s
% DateTime : Wed Jul 27 13:17:41 EDT 2022
% Result : Theorem 2.13s 2.32s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 26 ( 19 unt; 0 nHn; 26 RR)
% Number of literals : 50 ( 0 equ; 25 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 19 con; 0-1 aty)
% Number of variables : 28 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB012+2.p',unknown),
[] ).
cnf(2,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB012+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ iext(uri_rdfs_domain,A,B)
| ~ iext(A,C,D)
| icext(B,C) ),
file('SWB012+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,A,C)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(uri_rdf_rest,C,E)
| ~ iext(uri_rdf_first,E,F)
| ~ iext(uri_rdf_rest,E,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,G,A)
| ~ icext(G,H)
| icext(D,H) ),
file('SWB012+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,A,C)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(uri_rdf_rest,C,E)
| ~ iext(uri_rdf_first,E,F)
| ~ iext(uri_rdf_rest,E,uri_rdf_nil)
| ~ iext(uri_owl_intersectionOf,G,A)
| ~ icext(G,H)
| icext(F,H) ),
file('SWB012+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ iext(uri_owl_hasValue,A,B)
| ~ iext(uri_owl_onProperty,A,C)
| ~ icext(A,D)
| iext(C,D,B) ),
file('SWB012+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
file('SWB012+2.p',unknown),
[] ).
cnf(283,axiom,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,dollar_c4),
file('SWB012+2.p',unknown),
[] ).
cnf(284,axiom,
iext(uri_rdf_first,dollar_c4,uri_owl_DatatypeProperty),
file('SWB012+2.p',unknown),
[] ).
cnf(285,axiom,
iext(uri_rdf_rest,dollar_c4,dollar_c3),
file('SWB012+2.p',unknown),
[] ).
cnf(286,axiom,
iext(uri_rdf_first,dollar_c3,uri_owl_FunctionalProperty),
file('SWB012+2.p',unknown),
[] ).
cnf(287,axiom,
iext(uri_rdf_rest,dollar_c3,dollar_c2),
file('SWB012+2.p',unknown),
[] ).
cnf(288,axiom,
iext(uri_rdf_first,dollar_c2,dollar_c1),
file('SWB012+2.p',unknown),
[] ).
cnf(289,axiom,
iext(uri_rdf_rest,dollar_c2,uri_rdf_nil),
file('SWB012+2.p',unknown),
[] ).
cnf(291,axiom,
iext(uri_owl_onProperty,dollar_c1,uri_rdfs_domain),
file('SWB012+2.p',unknown),
[] ).
cnf(292,axiom,
iext(uri_owl_hasValue,dollar_c1,uri_foaf_Person),
file('SWB012+2.p',unknown),
[] ).
cnf(293,axiom,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
file('SWB012+2.p',unknown),
[] ).
cnf(294,axiom,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
file('SWB012+2.p',unknown),
[] ).
cnf(304,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(hyper,[status(thm)],[293,1]),
[iquote('hyper,293,1')] ).
cnf(305,plain,
icext(dollar_c1,uri_ex_name),
inference(hyper,[status(thm)],[304,10,284,285,286,287,288,289,283]),
[iquote('hyper,304,10,284,285,286,287,288,289,283')] ).
cnf(306,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name),
inference(hyper,[status(thm)],[304,9,284,285,286,287,288,289,283]),
[iquote('hyper,304,9,284,285,286,287,288,289,283')] ).
cnf(308,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
inference(hyper,[status(thm)],[305,16,292,291]),
[iquote('hyper,305,16,292,291')] ).
cnf(310,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
inference(hyper,[status(thm)],[306,2]),
[iquote('hyper,306,2')] ).
cnf(312,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(hyper,[status(thm)],[308,3,294]),
[iquote('hyper,308,3,294')] ).
cnf(313,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(hyper,[status(thm)],[312,2]),
[iquote('hyper,312,2')] ).
cnf(316,plain,
$false,
inference(hyper,[status(thm)],[313,18,310]),
[iquote('hyper,313,18,310')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.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 : 300
% 0.13/0.34 % DateTime : Wed Jul 27 02:33:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.65/1.85 ----- Otter 3.3f, August 2004 -----
% 1.65/1.85 The process was started by sandbox on n019.cluster.edu,
% 1.65/1.85 Wed Jul 27 02:33:07 2022
% 1.65/1.85 The command was "./otter". The process ID is 5044.
% 1.65/1.85
% 1.65/1.85 set(prolog_style_variables).
% 1.65/1.85 set(auto).
% 1.65/1.85 dependent: set(auto1).
% 1.65/1.85 dependent: set(process_input).
% 1.65/1.85 dependent: clear(print_kept).
% 1.65/1.85 dependent: clear(print_new_demod).
% 1.65/1.85 dependent: clear(print_back_demod).
% 1.65/1.85 dependent: clear(print_back_sub).
% 1.65/1.85 dependent: set(control_memory).
% 1.65/1.85 dependent: assign(max_mem, 12000).
% 1.65/1.85 dependent: assign(pick_given_ratio, 4).
% 1.65/1.85 dependent: assign(stats_level, 1).
% 1.65/1.85 dependent: assign(max_seconds, 10800).
% 1.65/1.85 clear(print_given).
% 1.65/1.85
% 1.65/1.85 formula_list(usable).
% 1.65/1.85 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.65/1.85 all P C X Y (iext(uri_rdfs_domain,P,C)&iext(P,X,Y)->icext(C,X)).
% 1.65/1.85 all Z S1 C1 S2 C2 S3 C3 (iext(uri_rdf_first,S1,C1)&iext(uri_rdf_rest,S1,S2)&iext(uri_rdf_first,S2,C2)&iext(uri_rdf_rest,S2,S3)&iext(uri_rdf_first,S3,C3)&iext(uri_rdf_rest,S3,uri_rdf_nil)-> (iext(uri_owl_intersectionOf,Z,S1)<->ic(Z)&ic(C1)&ic(C2)&ic(C3)& (all X (icext(Z,X)<->icext(C1,X)&icext(C2,X)&icext(C3,X))))).
% 1.65/1.85 all Z P A (iext(uri_owl_hasValue,Z,A)&iext(uri_owl_onProperty,Z,P)-> (all X (icext(Z,X)<->iext(P,X,A)))).
% 1.65/1.85 -(iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)&iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)).
% 1.65/1.85 exists BNODE_l1 BNODE_l2 BNODE_l3 BNODE_r (iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)&iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)&iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)&iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)&iext(uri_rdf_rest,BNODE_l2,BNODE_l3)&iext(uri_rdf_first,BNODE_l3,BNODE_r)&iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)&iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)&iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)&iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)&iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)&iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))).
% 1.65/1.85 end_of_list.
% 1.65/1.85
% 1.65/1.85 -------> usable clausifies to:
% 1.65/1.85
% 1.65/1.85 list(usable).
% 1.65/1.85 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.65/1.85 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.65/1.85 0 [] -iext(uri_rdfs_domain,P,C)| -iext(P,X,Y)|icext(C,X).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)|ic(Z).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)|ic(C1).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)|ic(C2).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)|ic(C3).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)| -icext(Z,X)|icext(C1,X).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)| -icext(Z,X)|icext(C2,X).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)| -icext(Z,X)|icext(C3,X).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)| -iext(uri_owl_intersectionOf,Z,S1)|icext(Z,X)| -icext(C1,X)| -icext(C2,X)| -icext(C3,X).
% 1.65/1.85 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)|iext(uri_owl_intersectionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -ic(C3)|icext(Z,$f1(Z,S1,C1,S2,C2,S3,C3))|icext(C1,$f1(Z,S1,C1,S2,C2,S3,C3)).
% 2.05/2.26 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)|iext(uri_owl_intersectionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -ic(C3)|icext(Z,$f1(Z,S1,C1,S2,C2,S3,C3))|icext(C2,$f1(Z,S1,C1,S2,C2,S3,C3)).
% 2.05/2.26 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)|iext(uri_owl_intersectionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -ic(C3)|icext(Z,$f1(Z,S1,C1,S2,C2,S3,C3))|icext(C3,$f1(Z,S1,C1,S2,C2,S3,C3)).
% 2.05/2.26 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,S3)| -iext(uri_rdf_first,S3,C3)| -iext(uri_rdf_rest,S3,uri_rdf_nil)|iext(uri_owl_intersectionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -ic(C3)| -icext(Z,$f1(Z,S1,C1,S2,C2,S3,C3))| -icext(C1,$f1(Z,S1,C1,S2,C2,S3,C3))| -icext(C2,$f1(Z,S1,C1,S2,C2,S3,C3))| -icext(C3,$f1(Z,S1,C1,S2,C2,S3,C3)).
% 2.05/2.26 0 [] -iext(uri_owl_hasValue,Z,A)| -iext(uri_owl_onProperty,Z,P)| -icext(Z,X)|iext(P,X,A).
% 2.05/2.26 0 [] -iext(uri_owl_hasValue,Z,A)| -iext(uri_owl_onProperty,Z,P)|icext(Z,X)| -iext(P,X,A).
% 2.05/2.26 0 [] -iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)| -iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person).
% 2.05/2.26 0 [] iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class).
% 2.05/2.26 0 [] iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,$c4).
% 2.05/2.26 0 [] iext(uri_rdf_first,$c4,uri_owl_DatatypeProperty).
% 2.05/2.26 0 [] iext(uri_rdf_rest,$c4,$c3).
% 2.05/2.26 0 [] iext(uri_rdf_first,$c3,uri_owl_FunctionalProperty).
% 2.05/2.26 0 [] iext(uri_rdf_rest,$c3,$c2).
% 2.05/2.26 0 [] iext(uri_rdf_first,$c2,$c1).
% 2.05/2.26 0 [] iext(uri_rdf_rest,$c2,uri_rdf_nil).
% 2.05/2.26 0 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 2.05/2.26 0 [] iext(uri_owl_onProperty,$c1,uri_rdfs_domain).
% 2.05/2.26 0 [] iext(uri_owl_hasValue,$c1,uri_foaf_Person).
% 2.05/2.26 0 [] iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute).
% 2.05/2.26 0 [] iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)).
% 2.05/2.26 end_of_list.
% 2.05/2.26
% 2.05/2.26 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=15.
% 2.05/2.26
% 2.05/2.26 This is a non-Horn set without equality. The strategy will
% 2.05/2.26 be ordered hyper_res, unit deletion, and factoring, with
% 2.05/2.26 satellites in sos and with nuclei in usable.
% 2.05/2.26
% 2.05/2.26 dependent: set(hyper_res).
% 2.05/2.26 dependent: set(factor).
% 2.05/2.26 dependent: set(unit_deletion).
% 2.05/2.26
% 2.05/2.26 ------------> process usable:
% 2.05/2.26 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 2.05/2.26 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 2.05/2.26 ** KEPT (pick-wt=11): 3 [] -iext(uri_rdfs_domain,A,B)| -iext(A,C,D)|icext(B,C).
% 2.05/2.26 ** KEPT (pick-wt=30): 4 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)|ic(G).
% 2.05/2.26 ** KEPT (pick-wt=30): 5 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)|ic(B).
% 2.05/2.26 ** KEPT (pick-wt=30): 6 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)|ic(D).
% 2.05/2.26 ** KEPT (pick-wt=30): 7 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)|ic(F).
% 2.05/2.26 ** KEPT (pick-wt=34): 8 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)| -icext(G,H)|icext(B,H).
% 2.05/2.26 ** KEPT (pick-wt=34): 9 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)| -icext(G,H)|icext(D,H).
% 2.13/2.32 ** KEPT (pick-wt=34): 10 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)| -icext(G,H)|icext(F,H).
% 2.13/2.32 ** KEPT (pick-wt=40): 11 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)| -iext(uri_owl_intersectionOf,G,A)|icext(G,H)| -icext(B,H)| -icext(D,H)| -icext(F,H).
% 2.13/2.32 ** KEPT (pick-wt=56): 12 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)|iext(uri_owl_intersectionOf,G,A)| -ic(G)| -ic(B)| -ic(D)| -ic(F)|icext(G,$f1(G,A,B,C,D,E,F))|icext(B,$f1(G,A,B,C,D,E,F)).
% 2.13/2.32 ** KEPT (pick-wt=56): 13 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)|iext(uri_owl_intersectionOf,G,A)| -ic(G)| -ic(B)| -ic(D)| -ic(F)|icext(G,$f1(G,A,B,C,D,E,F))|icext(D,$f1(G,A,B,C,D,E,F)).
% 2.13/2.32 ** KEPT (pick-wt=56): 14 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)|iext(uri_owl_intersectionOf,G,A)| -ic(G)| -ic(B)| -ic(D)| -ic(F)|icext(G,$f1(G,A,B,C,D,E,F))|icext(F,$f1(G,A,B,C,D,E,F)).
% 2.13/2.32 ** KEPT (pick-wt=76): 15 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,E)| -iext(uri_rdf_first,E,F)| -iext(uri_rdf_rest,E,uri_rdf_nil)|iext(uri_owl_intersectionOf,G,A)| -ic(G)| -ic(B)| -ic(D)| -ic(F)| -icext(G,$f1(G,A,B,C,D,E,F))| -icext(B,$f1(G,A,B,C,D,E,F))| -icext(D,$f1(G,A,B,C,D,E,F))| -icext(F,$f1(G,A,B,C,D,E,F)).
% 2.13/2.32 ** KEPT (pick-wt=15): 16 [] -iext(uri_owl_hasValue,A,B)| -iext(uri_owl_onProperty,A,C)| -icext(A,D)|iext(C,D,B).
% 2.13/2.32 ** KEPT (pick-wt=15): 17 [] -iext(uri_owl_hasValue,A,B)| -iext(uri_owl_onProperty,A,C)|icext(A,D)| -iext(C,D,B).
% 2.13/2.32 ** KEPT (pick-wt=8): 18 [] -iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)| -iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person).
% 2.13/2.32 74 back subsumes 64.
% 2.13/2.32 82 back subsumes 75.
% 2.13/2.32 82 back subsumes 65.
% 2.13/2.32 141 back subsumes 118.
% 2.13/2.32 149 back subsumes 129.
% 2.13/2.32 156 back subsumes 112.
% 2.13/2.32 227 back subsumes 213.
% 2.13/2.32 231 back subsumes 218.
% 2.13/2.32 236 back subsumes 207.
% 2.13/2.32
% 2.13/2.32 ------------> process sos:
% 2.13/2.32 ** KEPT (pick-wt=4): 282 [] iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class).
% 2.13/2.32 ** KEPT (pick-wt=4): 283 [] iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,$c4).
% 2.13/2.32 ** KEPT (pick-wt=4): 284 [] iext(uri_rdf_first,$c4,uri_owl_DatatypeProperty).
% 2.13/2.32 ** KEPT (pick-wt=4): 285 [] iext(uri_rdf_rest,$c4,$c3).
% 2.13/2.32 ** KEPT (pick-wt=4): 286 [] iext(uri_rdf_first,$c3,uri_owl_FunctionalProperty).
% 2.13/2.32 ** KEPT (pick-wt=4): 287 [] iext(uri_rdf_rest,$c3,$c2).
% 2.13/2.32 ** KEPT (pick-wt=4): 288 [] iext(uri_rdf_first,$c2,$c1).
% 2.13/2.32 ** KEPT (pick-wt=4): 289 [] iext(uri_rdf_rest,$c2,uri_rdf_nil).
% 2.13/2.32 ** KEPT (pick-wt=4): 290 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 2.13/2.32 ** KEPT (pick-wt=4): 291 [] iext(uri_owl_onProperty,$c1,uri_rdfs_domain).
% 2.13/2.32 ** KEPT (pick-wt=4): 292 [] iext(uri_owl_hasValue,$c1,uri_foaf_Person).
% 2.13/2.32 ** KEPT (pick-wt=4): 293 [] iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute).
% 2.13/2.32 ** KEPT (pick-wt=5): 294 [] iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)).
% 2.13/2.32
% 2.13/2.32 ======= end of input processing =======
% 2.13/2.32
% 2.13/2.32 =========== start of search ===========
% 2.13/2.32
% 2.13/2.32 -------- PROOF --------
% 2.13/2.32
% 2.13/2.32 -----> EMPTY CLAUSE at 0.46 sec ----> 316 [hyper,313,18,310] $F.
% 2.13/2.32
% 2.13/2.32 Length of proof is 7. Level of proof is 5.
% 2.13/2.32
% 2.13/2.32 ---------------- PROOF ----------------
% 2.13/2.32 % SZS status Theorem
% 2.13/2.32 % SZS output start Refutation
% See solution above
% 2.13/2.32 ------------ end of proof -------------
% 2.13/2.32
% 2.13/2.32
% 2.13/2.32 Search stopped by max_proofs option.
% 2.13/2.32
% 2.13/2.32
% 2.13/2.32 Search stopped by max_proofs option.
% 2.13/2.32
% 2.13/2.32 ============ end of search ============
% 2.13/2.32
% 2.13/2.32 -------------- statistics -------------
% 2.13/2.32 clauses given 30
% 2.13/2.32 clauses generated 1711
% 2.13/2.32 clauses kept 315
% 2.13/2.32 clauses forward subsumed 1426
% 2.13/2.32 clauses back subsumed 9
% 2.13/2.32 Kbytes malloced 976
% 2.13/2.32
% 2.13/2.32 ----------- times (seconds) -----------
% 2.13/2.32 user CPU time 0.46 (0 hr, 0 min, 0 sec)
% 2.13/2.32 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.13/2.32 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.13/2.32
% 2.13/2.32 That finishes the proof of the theorem.
% 2.13/2.32
% 2.13/2.32 Process 5044 finished Wed Jul 27 02:33:09 2022
% 2.13/2.32 Otter interrupted
% 2.13/2.32 PROOF FOUND
%------------------------------------------------------------------------------