TSTP Solution File: SWB003+4 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:17:36 EDT 2022
% Result : Theorem 1.68s 1.88s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 1 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
~ iext(uri_ex_p,uri_ex_s,A),
file('SWB003+4.p',unknown),
[] ).
cnf(89,axiom,
iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)),
file('SWB003+4.p',unknown),
[] ).
cnf(90,plain,
$false,
inference(binary,[status(thm)],[89,28]),
[iquote('binary,89.1,28.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n003.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 02:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.68/1.88 ----- Otter 3.3f, August 2004 -----
% 1.68/1.88 The process was started by sandbox on n003.cluster.edu,
% 1.68/1.88 Wed Jul 27 02:30:41 2022
% 1.68/1.88 The command was "./otter". The process ID is 11598.
% 1.68/1.88
% 1.68/1.88 set(prolog_style_variables).
% 1.68/1.88 set(auto).
% 1.68/1.88 dependent: set(auto1).
% 1.68/1.88 dependent: set(process_input).
% 1.68/1.88 dependent: clear(print_kept).
% 1.68/1.88 dependent: clear(print_new_demod).
% 1.68/1.88 dependent: clear(print_back_demod).
% 1.68/1.88 dependent: clear(print_back_sub).
% 1.68/1.88 dependent: set(control_memory).
% 1.68/1.88 dependent: assign(max_mem, 12000).
% 1.68/1.88 dependent: assign(pick_given_ratio, 4).
% 1.68/1.88 dependent: assign(stats_level, 1).
% 1.68/1.88 dependent: assign(max_seconds, 10800).
% 1.68/1.88 clear(print_given).
% 1.68/1.88
% 1.68/1.88 formula_list(usable).
% 1.68/1.88 all S P O (iext(P,S,O)->ip(P)).
% 1.68/1.88 all X ir(X).
% 1.68/1.88 all X (lv(X)->ir(X)).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property).
% 1.68/1.88 all P (iext(uri_rdf_type,P,uri_rdf_Property)<->ip(P)).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.68/1.88 all C (ic(C)->iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource)).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container).
% 1.68/1.88 all P (icext(uri_rdfs_ContainerMembershipProperty,P)->iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member)).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdfs_Se_q,uri_rdfs_Container).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype).
% 1.68/1.88 all D (icext(uri_rdfs_Datatype,D)->iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal)).
% 1.68/1.88 iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.68/1.88 all P C X Y (iext(uri_rdfs_domain,P,C)&iext(P,X,Y)->icext(C,X)).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class).
% 1.68/1.88 all X (ic(X)<->icext(uri_rdfs_Class,X)).
% 1.68/1.88 all X (ir(X)<->icext(uri_rdfs_Resource,X)).
% 1.68/1.88 all X (lv(X)<->icext(uri_rdfs_Literal,X)).
% 1.68/1.88 iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property).
% 1.68/1.88 all P C X Y (iext(uri_rdfs_range,P,C)&iext(P,X,Y)->icext(C,Y)).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 all C D (iext(uri_rdfs_subClassOf,C,D)->ic(C)&ic(D)& (all X (icext(C,X)->icext(D,X)))).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 all C (ic(C)->iext(uri_rdfs_subClassOf,C,C)).
% 1.68/1.88 all C D E (iext(uri_rdfs_subClassOf,C,D)&iext(uri_rdfs_subClassOf,D,E)->iext(uri_rdfs_subClassOf,C,E)).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 all P Q (iext(uri_rdfs_subPropertyOf,P,Q)->ip(P)&ip(Q)& (all X Y (iext(P,X,Y)->iext(Q,X,Y)))).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 all P (ip(P)->iext(uri_rdfs_subPropertyOf,P,P)).
% 1.68/1.88 all P Q R (iext(uri_rdfs_subPropertyOf,P,Q)&iext(uri_rdfs_subPropertyOf,Q,R)->iext(uri_rdfs_subPropertyOf,P,R)).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class).
% 1.68/1.88 iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 -(exists BNODE_x iext(uri_ex_p,uri_ex_s,BNODE_x)).
% 1.68/1.88 iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 -------> usable clausifies to:
% 1.68/1.88
% 1.68/1.88 list(usable).
% 1.68/1.88 0 [] -iext(P,S,O)|ip(P).
% 1.68/1.88 0 [] ir(X).
% 1.68/1.88 0 [] -lv(X)|ir(X).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property).
% 1.68/1.88 0 [] -iext(uri_rdf_type,P,uri_rdf_Property)|ip(P).
% 1.68/1.88 0 [] iext(uri_rdf_type,P,uri_rdf_Property)| -ip(P).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.68/1.88 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.68/1.88 0 [] -ic(C)|iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container).
% 1.68/1.88 0 [] -icext(uri_rdfs_ContainerMembershipProperty,P)|iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdfs_Se_q,uri_rdfs_Container).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype).
% 1.68/1.88 0 [] -icext(uri_rdfs_Datatype,D)|iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal).
% 1.68/1.88 0 [] iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.68/1.88 0 [] -iext(uri_rdfs_domain,P,C)| -iext(P,X,Y)|icext(C,X).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class).
% 1.68/1.88 0 [] -ic(X)|icext(uri_rdfs_Class,X).
% 1.68/1.88 0 [] ic(X)| -icext(uri_rdfs_Class,X).
% 1.68/1.88 0 [] -ir(X)|icext(uri_rdfs_Resource,X).
% 1.68/1.88 0 [] ir(X)| -icext(uri_rdfs_Resource,X).
% 1.68/1.88 0 [] -lv(X)|icext(uri_rdfs_Literal,X).
% 1.68/1.88 0 [] lv(X)| -icext(uri_rdfs_Literal,X).
% 1.68/1.88 0 [] iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property).
% 1.68/1.88 0 [] -iext(uri_rdfs_range,P,C)| -iext(P,X,Y)|icext(C,Y).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 0 [] -iext(uri_rdfs_subClassOf,C,D)|ic(C).
% 1.68/1.88 0 [] -iext(uri_rdfs_subClassOf,C,D)|ic(D).
% 1.68/1.88 0 [] -iext(uri_rdfs_subClassOf,C,D)| -icext(C,X)|icext(D,X).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 0 [] -ic(C)|iext(uri_rdfs_subClassOf,C,C).
% 1.68/1.88 0 [] -iext(uri_rdfs_subClassOf,C,D)| -iext(uri_rdfs_subClassOf,D,E)|iext(uri_rdfs_subClassOf,C,E).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 0 [] -iext(uri_rdfs_subPropertyOf,P,Q)|ip(P).
% 1.68/1.88 0 [] -iext(uri_rdfs_subPropertyOf,P,Q)|ip(Q).
% 1.68/1.88 0 [] -iext(uri_rdfs_subPropertyOf,P,Q)| -iext(P,X,Y)|iext(Q,X,Y).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 0 [] -ip(P)|iext(uri_rdfs_subPropertyOf,P,P).
% 1.68/1.88 0 [] -iext(uri_rdfs_subPropertyOf,P,Q)| -iext(uri_rdfs_subPropertyOf,Q,R)|iext(uri_rdfs_subPropertyOf,P,R).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class).
% 1.68/1.88 0 [] iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 0 [] iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 0 [] -iext(uri_ex_p,uri_ex_s,BNODE_x).
% 1.68/1.88 0 [] iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.68/1.88
% 1.68/1.88 This is a Horn set without equality. The strategy will
% 1.68/1.88 be hyperresolution, with satellites in sos and nuclei
% 1.68/1.88 in usable.
% 1.68/1.88
% 1.68/1.88 dependent: set(hyper_res).
% 1.68/1.88 dependent: clear(order_hyper).
% 1.68/1.88
% 1.68/1.88 ------------> process usable:
% 1.68/1.88 ** KEPT (pick-wt=6): 1 [] -iext(A,B,C)|ip(A).
% 1.68/1.88 ** KEPT (pick-wt=4): 2 [] -lv(A)|ir(A).
% 1.68/1.88 ** KEPT (pick-wt=6): 3 [] -iext(uri_rdf_type,A,uri_rdf_Property)|ip(A).
% 1.68/1.88 ** KEPT (pick-wt=6): 4 [] iext(uri_rdf_type,A,uri_rdf_Property)| -ip(A).
% 1.68/1.88 ** KEPT (pick-wt=7): 5 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.68/1.88 ** KEPT (pick-wt=7): 6 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.68/1.88 ** KEPT (pick-wt=6): 7 [] -ic(A)|iext(uri_rdfs_subClassOf,A,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=7): 8 [] -icext(uri_rdfs_ContainerMembershipProperty,A)|iext(uri_rdfs_subPropertyOf,A,uri_rdfs_member).
% 1.68/1.88 ** KEPT (pick-wt=7): 9 [] -icext(uri_rdfs_Datatype,A)|iext(uri_rdfs_subClassOf,A,uri_rdfs_Literal).
% 1.68/1.88 ** KEPT (pick-wt=11): 10 [] -iext(uri_rdfs_domain,A,B)| -iext(A,C,D)|icext(B,C).
% 1.68/1.88 ** KEPT (pick-wt=5): 11 [] -ic(A)|icext(uri_rdfs_Class,A).
% 1.68/1.88 ** KEPT (pick-wt=5): 12 [] ic(A)| -icext(uri_rdfs_Class,A).
% 1.68/1.88 ** KEPT (pick-wt=5): 13 [] -ir(A)|icext(uri_rdfs_Resource,A).
% 1.68/1.88 ** KEPT (pick-wt=5): 14 [] ir(A)| -icext(uri_rdfs_Resource,A).
% 1.68/1.88 ** KEPT (pick-wt=5): 15 [] -lv(A)|icext(uri_rdfs_Literal,A).
% 1.68/1.88 ** KEPT (pick-wt=5): 16 [] lv(A)| -icext(uri_rdfs_Literal,A).
% 1.68/1.88 ** KEPT (pick-wt=11): 17 [] -iext(uri_rdfs_range,A,B)| -iext(A,C,D)|icext(B,D).
% 1.68/1.88 ** KEPT (pick-wt=6): 18 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.68/1.88 ** KEPT (pick-wt=6): 19 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 1.68/1.88 ** KEPT (pick-wt=10): 20 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 1.68/1.88 ** KEPT (pick-wt=6): 21 [] -ic(A)|iext(uri_rdfs_subClassOf,A,A).
% 1.68/1.88 ** KEPT (pick-wt=12): 22 [] -iext(uri_rdfs_subClassOf,A,B)| -iext(uri_rdfs_subClassOf,B,C)|iext(uri_rdfs_subClassOf,A,C).
% 1.68/1.88 ** KEPT (pick-wt=6): 23 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(A).
% 1.68/1.88 ** KEPT (pick-wt=6): 24 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(B).
% 1.68/1.88 ** KEPT (pick-wt=12): 25 [] -iext(uri_rdfs_subPropertyOf,A,B)| -iext(A,C,D)|iext(B,C,D).
% 1.68/1.88 ** KEPT (pick-wt=6): 26 [] -ip(A)|iext(uri_rdfs_subPropertyOf,A,A).
% 1.68/1.88 ** KEPT (pick-wt=12): 27 [] -iext(uri_rdfs_subPropertyOf,A,B)| -iext(uri_rdfs_subPropertyOf,B,C)|iext(uri_rdfs_subPropertyOf,A,C).
% 1.68/1.88 ** KEPT (pick-wt=4): 28 [] -iext(uri_ex_p,uri_ex_s,A).
% 1.68/1.88
% 1.68/1.88 ------------> process sos:
% 1.68/1.88 ** KEPT (pick-wt=2): 29 [] ir(A).
% 1.68/1.88 ** KEPT (pick-wt=4): 30 [] iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 31 [] iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List).
% 1.68/1.88 ** KEPT (pick-wt=4): 32 [] iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 33 [] iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 34 [] iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 35 [] iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 36 [] iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 37 [] iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 38 [] iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 39 [] iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 Following clause subsumed by 39 during input processing: 0 [] iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 40 [] iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 41 [] iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal).
% 1.68/1.88 ** KEPT (pick-wt=4): 42 [] iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 43 [] iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 44 [] iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso).
% 1.68/1.88 ** KEPT (pick-wt=4): 45 [] iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 46 [] iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal).
% 1.68/1.88 ** KEPT (pick-wt=4): 47 [] iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 48 [] iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 49 [] iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List).
% 1.68/1.88 ** KEPT (pick-wt=4): 50 [] iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 51 [] iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 ** KEPT (pick-wt=4): 52 [] iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List).
% 1.68/1.88 ** KEPT (pick-wt=4): 53 [] iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container).
% 1.68/1.88 ** KEPT (pick-wt=4): 54 [] iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container).
% 1.68/1.88 ** KEPT (pick-wt=4): 55 [] iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 56 [] iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 57 [] iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 58 [] iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 59 [] iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 60 [] iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 61 [] iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 62 [] iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 63 [] iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 64 [] iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 ** KEPT (pick-wt=4): 65 [] iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 ** KEPT (pick-wt=4): 66 [] iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty).
% 1.68/1.88 ** KEPT (pick-wt=4): 67 [] iext(uri_rdfs_subClassOf,uri_rdfs_Se_q,uri_rdfs_Container).
% 1.68/1.88 ** KEPT (pick-wt=4): 68 [] iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_
% 1.68/1.88 -------- PROOF --------
% 1.68/1.88 rdfs_Literal).
% 1.68/1.88 ** KEPT (pick-wt=4): 69 [] iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype).
% 1.68/1.88 ** KEPT (pick-wt=4): 70 [] iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 71 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 72 [] iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 73 [] iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 74 [] iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 75 [] iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 76 [] iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement).
% 1.68/1.88 ** KEPT (pick-wt=4): 77 [] iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 78 [] iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement).
% 1.68/1.88 Following clause subsumed by 77 during input processing: 0 [] iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 79 [] iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement).
% 1.68/1.88 ** KEPT (pick-wt=4): 80 [] iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 81 [] iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 82 [] iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 83 [] iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 84 [] iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property).
% 1.68/1.88 ** KEPT (pick-wt=4): 85 [] iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 86 [] iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class).
% 1.68/1.88 ** KEPT (pick-wt=4): 87 [] iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=4): 88 [] iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource).
% 1.68/1.88 ** KEPT (pick-wt=5): 89 [] iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)).
% 1.68/1.88
% 1.68/1.88 ----> UNIT CONFLICT at 0.00 sec ----> 90 [binary,89.1,28.1] $F.
% 1.68/1.88
% 1.68/1.88 Length of proof is 0. Level of proof is 0.
% 1.68/1.88
% 1.68/1.88 ---------------- PROOF ----------------
% 1.68/1.88 % SZS status Theorem
% 1.68/1.88 % SZS output start Refutation
% See solution above
% 1.68/1.88 ------------ end of proof -------------
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88 ============ end of search ============
% 1.68/1.88
% 1.68/1.88 -------------- statistics -------------
% 1.68/1.88 clauses given 0
% 1.68/1.88 clauses generated 0
% 1.68/1.88 clauses kept 89
% 1.68/1.88 clauses forward subsumed 2
% 1.68/1.88 clauses back subsumed 0
% 1.68/1.88 Kbytes malloced 976
% 1.68/1.88
% 1.68/1.88 ----------- times (seconds) -----------
% 1.68/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.88
% 1.68/1.88 That finishes the proof of the theorem.
% 1.68/1.88
% 1.68/1.88 Process 11598 finished Wed Jul 27 02:30:43 2022
% 1.68/1.88 Otter interrupted
% 1.68/1.88 PROOF FOUND
%------------------------------------------------------------------------------