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Vampire-SAT---5.0.1.SAT-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB014-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 01:00:35 PM UTC 2026

% Result   : Satisfiable 0.36s 0.50s
% Output   : FiniteModel 0.36s
% 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('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = 'fmb_$i_1' )
      | ( X = 'fmb_$i_2' )
      | ( X = 'fmb_$i_3' ) ) ).

tff('distinct_domain_$i',axiom,
    ( ( 'fmb_$i_1' != 'fmb_$i_2' )
    & ( 'fmb_$i_1' != 'fmb_$i_3' )
    & ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).

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_3' ).

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_1' ).

tff(declare_uri_rdf__2,type,
    uri_rdf__2: $i ).

tff(uri_rdf__2_definition,axiom,
    uri_rdf__2 = 'fmb_$i_1' ).

tff(declare_uri_rdf__3,type,
    uri_rdf__3: $i ).

tff(uri_rdf__3_definition,axiom,
    uri_rdf__3 = 'fmb_$i_1' ).

tff(declare_uri_rdf_object,type,
    uri_rdf_object: $i ).

tff(uri_rdf_object_definition,axiom,
    uri_rdf_object = 'fmb_$i_3' ).

tff(declare_uri_rdf_value,type,
    uri_rdf_value: $i ).

tff(uri_rdf_value_definition,axiom,
    uri_rdf_value = 'fmb_$i_3' ).

tff(declare_uri_rdf_subject,type,
    uri_rdf_subject: $i ).

tff(uri_rdf_subject_definition,axiom,
    uri_rdf_subject = 'fmb_$i_3' ).

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_3' ).

tff(declare_uri_rdfs_Resource,type,
    uri_rdfs_Resource: $i ).

tff(uri_rdfs_Resource_definition,axiom,
    uri_rdfs_Resource = 'fmb_$i_3' ).

tff(declare_uri_rdfs_range,type,
    uri_rdfs_range: $i ).

tff(uri_rdfs_range_definition,axiom,
    uri_rdfs_range = 'fmb_$i_3' ).

tff(declare_uri_rdfs_Literal,type,
    uri_rdfs_Literal: $i ).

tff(uri_rdfs_Literal_definition,axiom,
    uri_rdfs_Literal = 'fmb_$i_3' ).

tff(declare_uri_rdfs_isDefinedBy,type,
    uri_rdfs_isDefinedBy: $i ).

tff(uri_rdfs_isDefinedBy_definition,axiom,
    uri_rdfs_isDefinedBy = 'fmb_$i_3' ).

tff(declare_uri_rdfs_subPropertyOf,type,
    uri_rdfs_subPropertyOf: $i ).

tff(uri_rdfs_subPropertyOf_definition,axiom,
    uri_rdfs_subPropertyOf = 'fmb_$i_2' ).

tff(declare_uri_rdfs_seeAlso,type,
    uri_rdfs_seeAlso: $i ).

tff(uri_rdfs_seeAlso_definition,axiom,
    uri_rdfs_seeAlso = 'fmb_$i_3' ).

tff(declare_uri_rdfs_label,type,
    uri_rdfs_label: $i ).

tff(uri_rdfs_label_definition,axiom,
    uri_rdfs_label = 'fmb_$i_3' ).

tff(declare_uri_rdfs_subClassOf,type,
    uri_rdfs_subClassOf: $i ).

tff(uri_rdfs_subClassOf_definition,axiom,
    uri_rdfs_subClassOf = 'fmb_$i_1' ).

tff(declare_uri_rdf_Alt,type,
    uri_rdf_Alt: $i ).

tff(uri_rdf_Alt_definition,axiom,
    uri_rdf_Alt = 'fmb_$i_3' ).

tff(declare_uri_rdfs_Container,type,
    uri_rdfs_Container: $i ).

tff(uri_rdfs_Container_definition,axiom,
    uri_rdfs_Container = 'fmb_$i_3' ).

tff(declare_uri_rdf_Bag,type,
    uri_rdf_Bag: $i ).

tff(uri_rdf_Bag_definition,axiom,
    uri_rdf_Bag = 'fmb_$i_3' ).

tff(declare_uri_rdfs_ContainerMembershipProperty,type,
    uri_rdfs_ContainerMembershipProperty: $i ).

tff(uri_rdfs_ContainerMembershipProperty_definition,axiom,
    uri_rdfs_ContainerMembershipProperty = 'fmb_$i_1' ).

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_3' ).

tff(declare_uri_rdf_XMLLiteral,type,
    uri_rdf_XMLLiteral: $i ).

tff(uri_rdf_XMLLiteral_definition,axiom,
    uri_rdf_XMLLiteral = 'fmb_$i_3' ).

tff(declare_uri_rdfs_Datatype,type,
    uri_rdfs_Datatype: $i ).

tff(uri_rdfs_Datatype_definition,axiom,
    uri_rdfs_Datatype = 'fmb_$i_3' ).

tff(declare_uri_rdfs_Class,type,
    uri_rdfs_Class: $i ).

tff(uri_rdfs_Class_definition,axiom,
    uri_rdfs_Class = 'fmb_$i_3' ).

tff(declare_uri_rdfs_Statement,type,
    uri_rdfs_Statement: $i ).

tff(uri_rdfs_Statement_definition,axiom,
    uri_rdfs_Statement = 'fmb_$i_3' ).

tff(declare_uri_rdf_predicate,type,
    uri_rdf_predicate: $i ).

tff(uri_rdf_predicate_definition,axiom,
    uri_rdf_predicate = 'fmb_$i_3' ).

tff(declare_uri_owl_unionOf,type,
    uri_owl_unionOf: $i ).

tff(uri_owl_unionOf_definition,axiom,
    uri_owl_unionOf = 'fmb_$i_3' ).

tff(declare_sK2_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_u,type,
    sK2_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_u: $i ).

tff(sK2_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_u_definition,axiom,
    sK2_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_u = 'fmb_$i_3' ).

tff(declare_sK3_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l1,type,
    sK3_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l1: $i ).

tff(sK3_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l1_definition,axiom,
    sK3_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l1 = 'fmb_$i_3' ).

tff(declare_sK1_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l2,type,
    sK1_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l2: $i ).

tff(sK1_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l2_definition,axiom,
    sK1_testcase_premise_fullish_014_Harry_belongs_to_some_Species_BNODE_l2 = 'fmb_$i_3' ).

tff(declare_uri_ex_Falcon,type,
    uri_ex_Falcon: $i ).

tff(uri_ex_Falcon_definition,axiom,
    uri_ex_Falcon = 'fmb_$i_1' ).

tff(declare_uri_ex_Eagle,type,
    uri_ex_Eagle: $i ).

tff(uri_ex_Eagle_definition,axiom,
    uri_ex_Eagle = 'fmb_$i_1' ).

tff(declare_uri_ex_Species,type,
    uri_ex_Species: $i ).

tff(uri_ex_Species_definition,axiom,
    uri_ex_Species = 'fmb_$i_1' ).

tff(declare_uri_ex_harry,type,
    uri_ex_harry: $i ).

tff(uri_ex_harry_definition,axiom,
    uri_ex_harry = 'fmb_$i_2' ).

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_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_$i_3','fmb_$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_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( 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_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_$i_3','fmb_$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_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( ifeq('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( 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_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_$i_3','fmb_$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' ) ) ).

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_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( 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_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( 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_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( iext('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( iext('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( 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_3' )
    & ( 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_3' )
    & ( iext('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
    & ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
    & ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( iext('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
    & ( iext('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( 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_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
    & ( iext('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$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' ) ) ).

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' ) ) ).

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' ) ) ).

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_3' )
    & ( icext('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( icext('fmb_$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_$i_3','fmb_$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' ) ) ).

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' ) ) ).

tff(declare_tuple,type,
    tuple: ( $i * $i ) > $i ).

tff(function_tuple,axiom,
    ( ( tuple('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( tuple('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( tuple('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB014-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n026.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 07:02:26 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.50  % (3662644)Will run a generic schedule for satisfiability detection.
% 0.36/0.50  % (3662654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=556765241:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.50  % (3662649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1187337236_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.50  % (3662652)dis+10_1_sil=32000:sp=arity:random_seed=3895139582:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.50  % (3662651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3485476201:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.50  % (3662655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1456312643:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.50  % (3662653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=664666834:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.50  % (3662650)% WARNING: option uhcvi not known.
% 0.36/0.50  % (3662650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3983964204:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.50  % TRYING [1]
% 0.36/0.50  % TRYING [2]
% 0.36/0.50  % TRYING [3]
% 0.36/0.50  % (3662654)Instruction limit reached! 
% 0.36/0.50  % (3662654)------------------------------
% 0.36/0.50  % (3662654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.50  % (3662654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.50  % (3662654)CaDiCaL version: 2.1.3
% 0.36/0.50  % (3662654)Termination reason: Instruction limit
% 0.36/0.50  % (3662654)Termination phase: Saturation
% 0.36/0.50  % (3662654)Time elapsed: 0.037 s
% 0.36/0.50  % (3662654)Peak memory usage: 13 MB
% 0.36/0.50  % (3662654)Instructions burned: 134 (million)
% 0.36/0.50  % (3662663)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3028667643:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.50  % (3662652)Instruction limit reached! 
% 0.36/0.50  % (3662652)------------------------------
% 0.36/0.50  % (3662652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.50  % (3662652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.50  % (3662652)CaDiCaL version: 2.1.3
% 0.36/0.50  % (3662652)Termination reason: Instruction limit
% 0.36/0.50  % (3662652)Termination phase: Saturation
% 0.36/0.50  % (3662652)Time elapsed: 0.052 s
% 0.36/0.50  % (3662652)Peak memory usage: 12 MB
% 0.36/0.50  % (3662652)Instructions burned: 104 (million)
% 0.36/0.50  % Finite Model Found!
% 0.36/0.50  % SZS status Satisfiable for theBenchmark
% 0.36/0.50  % (3662649) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3662644-3662649"...
% 0.36/0.50  % (3662649)...printing done.
% 0.36/0.50  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.36/0.50  % (3662649)------------------------------
% 0.36/0.50  % (3662649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.50  % (3662649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.50  % (3662649)CaDiCaL version: 2.1.3
% 0.36/0.50  % (3662649)Termination reason: Satisfiable
% 0.36/0.50  % (3662649)Time elapsed: 0.055 s
% 0.36/0.50  % (3662649)Peak memory usage: 15 MB
% 0.36/0.50  % (3662649)Instructions burned: 131 (million)
% 0.36/0.50  % (3662644)Success in time 0.092 s
% 0.36/0.50  % Vampire exiting
%------------------------------------------------------------------------------