TSTP Solution File: SWB003+4 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%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 18:59:33 EDT 2022

% Result   : Theorem 2.60s 1.30s
% Output   : Proof 3.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : ePrincess-casc -timeout=%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 08:24:30 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.51/0.60          ____       _                          
% 0.51/0.60    ___  / __ \_____(_)___  ________  __________
% 0.51/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.51/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.51/0.60  
% 0.51/0.60  A Theorem Prover for First-Order Logic
% 0.51/0.61  (ePrincess v.1.0)
% 0.51/0.61  
% 0.51/0.61  (c) Philipp Rümmer, 2009-2015
% 0.51/0.61  (c) Peter Backeman, 2014-2015
% 0.51/0.61  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.61  Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.61  Bug reports to peter@backeman.se
% 0.51/0.61  
% 0.51/0.61  For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.61  
% 0.51/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.66  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.85/1.00  Prover 0: Preprocessing ...
% 2.41/1.19  Prover 0: Warning: ignoring some quantifiers
% 2.41/1.21  Prover 0: Constructing countermodel ...
% 2.60/1.29  Prover 0: proved (637ms)
% 2.60/1.30  
% 2.60/1.30  No countermodel exists, formula is valid
% 2.60/1.30  % SZS status Theorem for theBenchmark
% 2.60/1.30  
% 2.60/1.30  Generating proof ... Warning: ignoring some quantifiers
% 3.58/1.51  found it (size 4)
% 3.58/1.51  
% 3.58/1.51  % SZS output start Proof for theBenchmark
% 3.58/1.51  Assumed formulas after preprocessing and simplification: 
% 3.58/1.51  | (0)  ? [v0] : (literal_plain(dat_str_foo) = v0 & iext(uri_ex_p, uri_ex_s, v0) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal) & iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property) & iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container) & iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal) & iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property) & iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal) & iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List) & iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource) & iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype) & iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List) & iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class) & iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ iext(v1, v3, v4) |  ~ iext(uri_rdfs_subPropertyOf, v1, v2) | iext(v2, v3, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ iext(v1, v3, v4) |  ~ iext(uri_rdfs_range, v1, v2) | icext(v2, v4)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ iext(v1, v3, v4) |  ~ iext(uri_rdfs_domain, v1, v2) | icext(v2, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (literal_plain(v3) = v2) |  ~ (literal_plain(v3) = v1)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ icext(v1, v3) |  ~ iext(uri_rdfs_subClassOf, v1, v2) | icext(v2, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v2, v1, v3) | ip(v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(uri_rdfs_subClassOf, v2, v3) |  ~ iext(uri_rdfs_subClassOf, v1, v2) | iext(uri_rdfs_subClassOf, v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(uri_rdfs_subPropertyOf, v2, v3) |  ~ iext(uri_rdfs_subPropertyOf, v1, v2) | iext(uri_rdfs_subPropertyOf, v1, v3)) &  ! [v1] :  ! [v2] : ( ~ icext(v2, v1) | iext(uri_rdf_type, v1, v2)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) | ic(v2)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) | ic(v1)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subPropertyOf, v1, v2) | ip(v2)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subPropertyOf, v1, v2) | ip(v1)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_rdf_type, v1, v2) | icext(v2, v1)) &  ! [v1] : ( ~ ic(v1) | icext(uri_rdfs_Class, v1)) &  ! [v1] : ( ~ ic(v1) | iext(uri_rdfs_subClassOf, v1, v1)) &  ! [v1] : ( ~ ic(v1) | iext(uri_rdfs_subClassOf, v1, uri_rdfs_Resource)) &  ! [v1] : ( ~ icext(uri_rdfs_Class, v1) | ic(v1)) &  ! [v1] : ( ~ icext(uri_rdfs_Datatype, v1) | iext(uri_rdfs_subClassOf, v1, uri_rdfs_Literal)) &  ! [v1] : ( ~ icext(uri_rdfs_ContainerMembershipProperty, v1) | iext(uri_rdfs_subPropertyOf, v1, uri_rdfs_member)) &  ! [v1] : ( ~ icext(uri_rdfs_Literal, v1) | lv(v1)) &  ! [v1] : ( ~ icext(uri_rdfs_Resource, v1) | ir(v1)) &  ! [v1] : ( ~ lv(v1) | icext(uri_rdfs_Literal, v1)) &  ! [v1] : ( ~ lv(v1) | ir(v1)) &  ! [v1] : ( ~ ir(v1) | icext(uri_rdfs_Resource, v1)) &  ! [v1] : ( ~ ip(v1) | iext(uri_rdfs_subPropertyOf, v1, v1)) &  ! [v1] : ( ~ ip(v1) | iext(uri_rdf_type, v1, uri_rdf_Property)) &  ! [v1] :  ~ iext(uri_ex_p, uri_ex_s, v1) &  ! [v1] : ( ~ iext(uri_rdf_type, v1, uri_rdf_Property) | ip(v1)) &  ? [v1] : ir(v1))
% 3.90/1.57  | Instantiating (0) with all_0_0_0 yields:
% 3.90/1.57  | (1) literal_plain(dat_str_foo) = all_0_0_0 & iext(uri_ex_p, uri_ex_s, all_0_0_0) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal) & iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property) & iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container) & iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal) & iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property) & iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal) & iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class) & iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement) & iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List) & iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource) & iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype) & iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List) & iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class) & iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_range, v0, v1) | icext(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (literal_plain(v2) = v1) |  ~ (literal_plain(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ icext(v0, v2) |  ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(v1, v0, v2) | ip(v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) |  ~ iext(uri_rdfs_subClassOf, v0, v1) | iext(uri_rdfs_subClassOf, v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subPropertyOf, v1, v2) |  ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(uri_rdfs_subPropertyOf, v0, v2)) &  ! [v0] :  ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) &  ! [v0] : ( ~ ic(v0) | icext(uri_rdfs_Class, v0)) &  ! [v0] : ( ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v0)) &  ! [v0] : ( ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, uri_rdfs_Resource)) &  ! [v0] : ( ~ icext(uri_rdfs_Class, v0) | ic(v0)) &  ! [v0] : ( ~ icext(uri_rdfs_Datatype, v0) | iext(uri_rdfs_subClassOf, v0, uri_rdfs_Literal)) &  ! [v0] : ( ~ icext(uri_rdfs_ContainerMembershipProperty, v0) | iext(uri_rdfs_subPropertyOf, v0, uri_rdfs_member)) &  ! [v0] : ( ~ icext(uri_rdfs_Literal, v0) | lv(v0)) &  ! [v0] : ( ~ icext(uri_rdfs_Resource, v0) | ir(v0)) &  ! [v0] : ( ~ lv(v0) | icext(uri_rdfs_Literal, v0)) &  ! [v0] : ( ~ lv(v0) | ir(v0)) &  ! [v0] : ( ~ ir(v0) | icext(uri_rdfs_Resource, v0)) &  ! [v0] : ( ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v0)) &  ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property)) &  ! [v0] :  ~ iext(uri_ex_p, uri_ex_s, v0) &  ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0)) &  ? [v0] : ir(v0)
% 3.90/1.58  |
% 3.90/1.58  | Applying alpha-rule on (1) yields:
% 3.90/1.58  | (2) iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource)
% 3.90/1.58  | (3) iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property)
% 3.90/1.58  | (4) iext(uri_ex_p, uri_ex_s, all_0_0_0)
% 3.90/1.58  | (5) iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty)
% 3.90/1.58  | (6) iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty)
% 3.90/1.58  | (7) iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement)
% 3.90/1.58  | (8)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 3.90/1.58  | (9)  ! [v0] :  ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1))
% 3.90/1.58  | (10) iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource)
% 3.90/1.58  | (11) iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property)
% 3.90/1.58  | (12)  ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0))
% 3.90/1.58  | (13)  ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property))
% 3.90/1.58  | (14) iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource)
% 3.90/1.58  | (15) iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property)
% 3.90/1.58  | (16) iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class)
% 3.90/1.58  | (17) iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal)
% 3.90/1.58  | (18) iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container)
% 3.90/1.58  | (19) iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property)
% 3.90/1.58  | (20)  ! [v0] : ( ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v0))
% 3.90/1.58  | (21) iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class)
% 3.90/1.58  | (22)  ! [v0] : ( ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, uri_rdfs_Resource))
% 3.90/1.58  | (23) iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource)
% 3.90/1.58  | (24)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0))
% 3.90/1.58  | (25) iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource)
% 3.90/1.58  | (26) iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property)
% 3.90/1.58  | (27)  ! [v0] : ( ~ icext(uri_rdfs_ContainerMembershipProperty, v0) | iext(uri_rdfs_subPropertyOf, v0, uri_rdfs_member))
% 3.90/1.59  | (28)  ! [v0] : ( ~ lv(v0) | ir(v0))
% 3.90/1.59  | (29) iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property)
% 3.90/1.59  | (30)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0))
% 3.90/1.59  | (31) iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal)
% 3.90/1.59  | (32)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subPropertyOf, v1, v2) |  ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(uri_rdfs_subPropertyOf, v0, v2))
% 3.90/1.59  | (33)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1))
% 3.90/1.59  | (34)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1))
% 3.90/1.59  | (35) literal_plain(dat_str_foo) = all_0_0_0
% 3.90/1.59  | (36) iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource)
% 3.90/1.59  | (37) iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource)
% 3.90/1.59  | (38) iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso)
% 3.90/1.59  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2))
% 3.90/1.59  | (40) iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource)
% 3.90/1.59  | (41) iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource)
% 3.90/1.59  | (42) iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class)
% 3.90/1.59  | (43)  ! [v0] : ( ~ icext(uri_rdfs_Datatype, v0) | iext(uri_rdfs_subClassOf, v0, uri_rdfs_Literal))
% 3.90/1.59  | (44)  ! [v0] : ( ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v0))
% 3.90/1.59  | (45)  ! [v0] :  ~ iext(uri_ex_p, uri_ex_s, v0)
% 3.90/1.59  | (46) iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property)
% 3.90/1.59  | (47) iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List)
% 3.90/1.59  | (48) iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty)
% 3.90/1.59  | (49) iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource)
% 3.90/1.59  | (50) iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property)
% 3.90/1.59  | (51)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (literal_plain(v2) = v1) |  ~ (literal_plain(v2) = v0))
% 3.90/1.59  | (52)  ! [v0] : ( ~ lv(v0) | icext(uri_rdfs_Literal, v0))
% 3.90/1.59  | (53)  ! [v0] : ( ~ icext(uri_rdfs_Literal, v0) | lv(v0))
% 3.90/1.59  | (54) iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource)
% 3.90/1.59  | (55) iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)
% 3.90/1.59  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) |  ~ iext(uri_rdfs_subClassOf, v0, v1) | iext(uri_rdfs_subClassOf, v0, v2))
% 3.90/1.59  | (57) iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)
% 3.90/1.59  | (58) iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List)
% 3.90/1.59  | (59) iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property)
% 3.90/1.59  | (60) iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List)
% 3.90/1.59  | (61) iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource)
% 3.90/1.59  | (62) iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource)
% 3.90/1.59  | (63) iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource)
% 3.90/1.59  | (64)  ! [v0] : ( ~ ir(v0) | icext(uri_rdfs_Resource, v0))
% 3.90/1.59  | (65)  ! [v0] : ( ~ icext(uri_rdfs_Resource, v0) | ir(v0))
% 3.90/1.59  | (66) iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource)
% 3.90/1.59  | (67) iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List)
% 3.90/1.59  | (68)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3))
% 3.90/1.59  | (69) iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource)
% 3.90/1.59  | (70) iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource)
% 3.90/1.59  | (71) iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement)
% 3.90/1.60  | (72)  ! [v0] : ( ~ icext(uri_rdfs_Class, v0) | ic(v0))
% 3.90/1.60  | (73)  ! [v0] : ( ~ ic(v0) | icext(uri_rdfs_Class, v0))
% 3.90/1.60  | (74)  ? [v0] : ir(v0)
% 3.90/1.60  | (75) iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property)
% 3.90/1.60  | (76) iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement)
% 3.90/1.60  | (77) iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal)
% 3.90/1.60  | (78) iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource)
% 3.90/1.60  | (79)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ icext(v0, v2) |  ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2))
% 3.90/1.60  | (80) iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class)
% 3.90/1.60  | (81) iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class)
% 3.90/1.60  | (82) iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property)
% 3.90/1.60  | (83) iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container)
% 3.90/1.60  | (84) iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class)
% 3.90/1.60  | (85) iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property)
% 3.90/1.60  | (86) iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container)
% 3.90/1.60  | (87)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ iext(v1, v0, v2) | ip(v1))
% 3.90/1.60  | (88) iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype)
% 3.90/1.60  | (89) iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource)
% 3.90/1.60  | (90) iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource)
% 3.90/1.60  | (91) iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property)
% 3.90/1.60  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_range, v0, v1) | icext(v1, v3))
% 3.90/1.60  |
% 3.90/1.60  | Instantiating formula (45) with all_0_0_0 and discharging atoms iext(uri_ex_p, uri_ex_s, all_0_0_0), yields:
% 3.90/1.60  | (93) $false
% 3.90/1.60  |
% 3.90/1.60  |-The branch is then unsatisfiable
% 3.90/1.60  % SZS output end Proof for theBenchmark
% 3.90/1.60  
% 3.90/1.60  987ms
%------------------------------------------------------------------------------