%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB018-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:38 PM UTC 2026
% Result : Satisfiable 1.52s 0.65s
% Output : FiniteModel 1.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).
tff(declare_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_rdf_type_definition,axiom,
uri_rdf_type = 'fmb_$i_1' ).
tff(declare_uri_rdf_first,type,
uri_rdf_first: $i ).
tff(uri_rdf_first_definition,axiom,
uri_rdf_first = 'fmb_$i_2' ).
tff(declare_uri_rdf_Property,type,
uri_rdf_Property: $i ).
tff(uri_rdf_Property_definition,axiom,
uri_rdf_Property = 'fmb_$i_3' ).
tff(declare_uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(uri_rdf_nil_definition,axiom,
uri_rdf_nil = 'fmb_$i_4' ).
tff(declare_uri_rdf_List,type,
uri_rdf_List: $i ).
tff(uri_rdf_List_definition,axiom,
uri_rdf_List = 'fmb_$i_3' ).
tff(declare_uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(uri_rdf_rest_definition,axiom,
uri_rdf_rest = 'fmb_$i_3' ).
tff(declare_uri_rdf__1,type,
uri_rdf__1: $i ).
tff(uri_rdf__1_definition,axiom,
uri_rdf__1 = 'fmb_$i_4' ).
tff(declare_uri_rdf__2,type,
uri_rdf__2: $i ).
tff(uri_rdf__2_definition,axiom,
uri_rdf__2 = 'fmb_$i_4' ).
tff(declare_uri_rdf__3,type,
uri_rdf__3: $i ).
tff(uri_rdf__3_definition,axiom,
uri_rdf__3 = 'fmb_$i_4' ).
tff(declare_uri_rdf_object,type,
uri_rdf_object: $i ).
tff(uri_rdf_object_definition,axiom,
uri_rdf_object = 'fmb_$i_4' ).
tff(declare_uri_rdf_value,type,
uri_rdf_value: $i ).
tff(uri_rdf_value_definition,axiom,
uri_rdf_value = 'fmb_$i_4' ).
tff(declare_uri_rdf_subject,type,
uri_rdf_subject: $i ).
tff(uri_rdf_subject_definition,axiom,
uri_rdf_subject = 'fmb_$i_4' ).
tff(declare_uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
tff(uri_rdfs_domain_definition,axiom,
uri_rdfs_domain = 'fmb_$i_3' ).
tff(declare_uri_rdfs_comment,type,
uri_rdfs_comment: $i ).
tff(uri_rdfs_comment_definition,axiom,
uri_rdfs_comment = 'fmb_$i_4' ).
tff(declare_uri_rdfs_Resource,type,
uri_rdfs_Resource: $i ).
tff(uri_rdfs_Resource_definition,axiom,
uri_rdfs_Resource = 'fmb_$i_1' ).
tff(declare_uri_rdfs_range,type,
uri_rdfs_range: $i ).
tff(uri_rdfs_range_definition,axiom,
uri_rdfs_range = 'fmb_$i_2' ).
tff(declare_uri_rdfs_Literal,type,
uri_rdfs_Literal: $i ).
tff(uri_rdfs_Literal_definition,axiom,
uri_rdfs_Literal = 'fmb_$i_1' ).
tff(declare_uri_rdfs_isDefinedBy,type,
uri_rdfs_isDefinedBy: $i ).
tff(uri_rdfs_isDefinedBy_definition,axiom,
uri_rdfs_isDefinedBy = 'fmb_$i_4' ).
tff(declare_uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
tff(uri_rdfs_subPropertyOf_definition,axiom,
uri_rdfs_subPropertyOf = 'fmb_$i_3' ).
tff(declare_uri_rdfs_seeAlso,type,
uri_rdfs_seeAlso: $i ).
tff(uri_rdfs_seeAlso_definition,axiom,
uri_rdfs_seeAlso = 'fmb_$i_4' ).
tff(declare_uri_rdfs_label,type,
uri_rdfs_label: $i ).
tff(uri_rdfs_label_definition,axiom,
uri_rdfs_label = 'fmb_$i_4' ).
tff(declare_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
tff(uri_rdfs_subClassOf_definition,axiom,
uri_rdfs_subClassOf = 'fmb_$i_3' ).
tff(declare_uri_rdf_Alt,type,
uri_rdf_Alt: $i ).
tff(uri_rdf_Alt_definition,axiom,
uri_rdf_Alt = 'fmb_$i_4' ).
tff(declare_uri_rdfs_Container,type,
uri_rdfs_Container: $i ).
tff(uri_rdfs_Container_definition,axiom,
uri_rdfs_Container = 'fmb_$i_4' ).
tff(declare_uri_rdf_Bag,type,
uri_rdf_Bag: $i ).
tff(uri_rdf_Bag_definition,axiom,
uri_rdf_Bag = 'fmb_$i_4' ).
tff(declare_uri_rdfs_ContainerMembershipProperty,type,
uri_rdfs_ContainerMembershipProperty: $i ).
tff(uri_rdfs_ContainerMembershipProperty_definition,axiom,
uri_rdfs_ContainerMembershipProperty = 'fmb_$i_3' ).
tff(declare_uri_rdfs_member,type,
uri_rdfs_member: $i ).
tff(uri_rdfs_member_definition,axiom,
uri_rdfs_member = 'fmb_$i_1' ).
tff(declare_uri_rdfs_Seq,type,
uri_rdfs_Seq: $i ).
tff(uri_rdfs_Seq_definition,axiom,
uri_rdfs_Seq = 'fmb_$i_4' ).
tff(declare_uri_rdf_XMLLiteral,type,
uri_rdf_XMLLiteral: $i ).
tff(uri_rdf_XMLLiteral_definition,axiom,
uri_rdf_XMLLiteral = 'fmb_$i_4' ).
tff(declare_uri_rdfs_Datatype,type,
uri_rdfs_Datatype: $i ).
tff(uri_rdfs_Datatype_definition,axiom,
uri_rdfs_Datatype = 'fmb_$i_4' ).
tff(declare_uri_rdfs_Class,type,
uri_rdfs_Class: $i ).
tff(uri_rdfs_Class_definition,axiom,
uri_rdfs_Class = 'fmb_$i_1' ).
tff(declare_uri_rdfs_Statement,type,
uri_rdfs_Statement: $i ).
tff(uri_rdfs_Statement_definition,axiom,
uri_rdfs_Statement = 'fmb_$i_4' ).
tff(declare_uri_rdf_predicate,type,
uri_rdf_predicate: $i ).
tff(uri_rdf_predicate_definition,axiom,
uri_rdf_predicate = 'fmb_$i_4' ).
tff(declare_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
tff(uri_owl_sameAs_definition,axiom,
uri_owl_sameAs = 'fmb_$i_4' ).
tff(declare_uri_ex_Person,type,
uri_ex_Person: $i ).
tff(uri_ex_Person_definition,axiom,
uri_ex_Person = 'fmb_$i_4' ).
tff(declare_uri_ex_w,type,
uri_ex_w: $i ).
tff(uri_ex_w_definition,axiom,
uri_ex_w = 'fmb_$i_4' ).
tff(declare_uri_ex_u,type,
uri_ex_u: $i ).
tff(uri_ex_u_definition,axiom,
uri_ex_u = 'fmb_$i_3' ).
tff(declare_ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq,axiom,
( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_1','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_2','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_3','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( ifeq('fmb_$i_4','fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_iext,type,
iext: ( $i * $i * $i ) > $i ).
tff(function_iext,axiom,
( ( iext('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( iext('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( iext('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( iext('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( iext('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( iext('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( iext('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( iext('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' ) ) ).
tff(declare_ip,type,
ip: $i > $i ).
tff(function_ip,axiom,
( ( ip('fmb_$i_1') = 'fmb_$i_1' )
& ( ip('fmb_$i_2') = 'fmb_$i_1' )
& ( ip('fmb_$i_3') = 'fmb_$i_1' )
& ( ip('fmb_$i_4') = 'fmb_$i_1' ) ) ).
tff(declare_ir,type,
ir: $i > $i ).
tff(function_ir,axiom,
( ( ir('fmb_$i_1') = 'fmb_$i_1' )
& ( ir('fmb_$i_2') = 'fmb_$i_1' )
& ( ir('fmb_$i_3') = 'fmb_$i_1' )
& ( ir('fmb_$i_4') = 'fmb_$i_1' ) ) ).
tff(declare_lv,type,
lv: $i > $i ).
tff(function_lv,axiom,
( ( lv('fmb_$i_1') = 'fmb_$i_1' )
& ( lv('fmb_$i_2') = 'fmb_$i_1' )
& ( lv('fmb_$i_3') = 'fmb_$i_1' )
& ( lv('fmb_$i_4') = 'fmb_$i_1' ) ) ).
tff(declare_icext,type,
icext: ( $i * $i ) > $i ).
tff(function_icext,axiom,
( ( icext('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( icext('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( icext('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( icext('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( icext('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( icext('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( icext('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( icext('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( icext('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( icext('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( icext('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( icext('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( icext('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( icext('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( icext('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( icext('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' ) ) ).
tff(declare_ic,type,
ic: $i > $i ).
tff(function_ic,axiom,
( ( ic('fmb_$i_1') = 'fmb_$i_1' )
& ( ic('fmb_$i_2') = 'fmb_$i_1' )
& ( ic('fmb_$i_3') = 'fmb_$i_1' )
& ( ic('fmb_$i_4') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB018-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:02:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/0.65 % (3195774)Will run a generic schedule for satisfiability detection.
% 1.52/0.65 % (3195785)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1707407659:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.52/0.65 % (3195780)% WARNING: option uhcvi not known.
% 1.52/0.65 % (3195779)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3551200549_2999 on theBenchmark for (2999ds/0Mi)
% 1.52/0.65 % (3195784)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2238959315:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.52/0.65 % (3195781)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2304044075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.52/0.65 % (3195783)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2712420718:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.52/0.65 % (3195782)dis+10_1_sil=32000:sp=arity:random_seed=1438657026:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.52/0.65 % (3195780)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3834013174:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.52/0.65 % TRYING [1]
% 1.52/0.65 % TRYING [2]
% 1.52/0.65 % TRYING [3]
% 1.52/0.65 % (3195785)Instruction limit reached!
% 1.52/0.65 % (3195785)------------------------------
% 1.52/0.65 % (3195785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195785)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195785)Termination reason: Instruction limit
% 1.52/0.65 % (3195785)Termination phase: Saturation
% 1.52/0.65 % (3195785)Time elapsed: 0.048 s
% 1.52/0.65 % (3195785)Peak memory usage: 13 MB
% 1.52/0.65 % (3195785)Instructions burned: 162 (million)
% 1.52/0.65 % (3195793)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3343331845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.52/0.65 % (3195782)Instruction limit reached!
% 1.52/0.65 % (3195782)------------------------------
% 1.52/0.65 % (3195782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195782)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195782)Termination reason: Instruction limit
% 1.52/0.65 % (3195782)Termination phase: Saturation
% 1.52/0.65 % (3195782)Time elapsed: 0.053 s
% 1.52/0.65 % (3195782)Peak memory usage: 12 MB
% 1.52/0.65 % (3195782)Instructions burned: 103 (million)
% 1.52/0.65 % TRYING [1]
% 1.52/0.65 % TRYING [2]
% 1.52/0.65 % (3195783)Instruction limit reached!
% 1.52/0.65 % (3195783)------------------------------
% 1.52/0.65 % (3195783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195783)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195783)Termination reason: Instruction limit
% 1.52/0.65 % (3195783)Termination phase: Saturation
% 1.52/0.65 % (3195783)Time elapsed: 0.061 s
% 1.52/0.65 % (3195783)Peak memory usage: 13 MB
% 1.52/0.65 % (3195783)Instructions burned: 116 (million)
% 1.52/0.65 % TRYING [3]
% 1.52/0.65 % (3195784)Instruction limit reached!
% 1.52/0.65 % (3195784)------------------------------
% 1.52/0.65 % (3195784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195784)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195784)Termination reason: Instruction limit
% 1.52/0.65 % (3195784)Termination phase: Saturation
% 1.52/0.65 % (3195784)Time elapsed: 0.071 s
% 1.52/0.65 % (3195784)Peak memory usage: 13 MB
% 1.52/0.65 % (3195784)Instructions burned: 133 (million)
% 1.52/0.65 % (3195795)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1683519916:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.52/0.65 % (3195796)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=818440765:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.52/0.65 % (3195797)ott-21_1_sil=16000:fs=off:random_seed=3737190785:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.52/0.65 % TRYING [4]
% 1.52/0.65 % TRYING [4]
% 1.52/0.65 % (3195795)Instruction limit reached!
% 1.52/0.65 % (3195795)------------------------------
% 1.52/0.65 % (3195795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195795)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195795)Termination reason: Instruction limit
% 1.52/0.65 % (3195795)Termination phase: Saturation
% 1.52/0.65 % (3195795)Time elapsed: 0.074 s
% 1.52/0.65 % (3195795)Peak memory usage: 13 MB
% 1.52/0.65 % (3195795)Instructions burned: 132 (million)
% 1.52/0.65 % (3195801)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1155239662:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.52/0.65 % (3195797)Instruction limit reached!
% 1.52/0.65 % (3195797)------------------------------
% 1.52/0.65 % (3195797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195797)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195797)Termination reason: Instruction limit
% 1.52/0.65 % (3195797)Termination phase: Saturation
% 1.52/0.65 % (3195797)Time elapsed: 0.093 s
% 1.52/0.65 % (3195797)Peak memory usage: 12 MB
% 1.52/0.65 % (3195797)Instructions burned: 182 (million)
% 1.52/0.65 % Finite Model Found!
% 1.52/0.65 % SZS status Satisfiable for theBenchmark
% 1.52/0.65 % (3195779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3195774-3195779"...
% 1.52/0.65 % (3195779)...printing done.
% 1.52/0.65 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.52/0.65 % (3195779)------------------------------
% 1.52/0.65 % (3195779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.65 % (3195779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.65 % (3195779)CaDiCaL version: 2.1.3
% 1.52/0.65 % (3195779)Termination reason: Satisfiable
% 1.52/0.65 % (3195779)Time elapsed: 0.200 s
% 1.52/0.65 % (3195779)Peak memory usage: 23 MB
% 1.52/0.65 % (3195779)Instructions burned: 478 (million)
% 1.52/0.65 % (3195774)Success in time 0.242 s
% 1.52/0.65 % Vampire exiting
%------------------------------------------------------------------------------