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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 : Wed Oct  7 10:16:14 AM UTC 2026

% Result   : Theorem 197.08s 39.62s
% Output   : CNFRefutation 197.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  752 ( 260 unt;   0 typ;   0 def)
%            Number of atoms       : 5824 (1853 equ;   0 cnn)
%            Maximal formula atoms :    4 (   7 avg)
%            Number of connectives : 17861 (1652   ~; 998   |;  20   &;15169   @)
%                                         (   8 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 1140 (1140   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  318 ( 315 usr; 194 con; 0-6 aty)
%            Number of variables   : 6718 (5790   ^; 924   !;   4   ?;6718   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_num,type,
    num: $tType ).

thf(tp_agent_THFTYPE_i,type,
    agent_THFTYPE_i: $i ).

thf(tp_attribute_THFTYPE_IiioI,type,
    attribute_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_before_THFTYPE_IiioI,type,
    before_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_connected_THFTYPE_i,type,
    connected_THFTYPE_i: $i ).

thf(tp_contraryAttribute_THFTYPE_IiioI,type,
    contraryAttribute_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_contraryAttribute_THFTYPE_IioI,type,
    contraryAttribute_THFTYPE_IioI: $i > $o ).

thf(tp_disjointRelation_THFTYPE_IiioI,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_disjoint_THFTYPE_IiioI,type,
    disjoint_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_documentation_THFTYPE_i,type,
    documentation_THFTYPE_i: $i ).

thf(tp_domainSubclass_THFTYPE_IIiiiIiioI,type,
    domainSubclass_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).

thf(tp_domainSubclass_THFTYPE_IIiioIiioI,type,
    domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domainSubclass_THFTYPE_IiiioI,type,
    domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIIiiiIiioIiioI,type,
    domain_THFTYPE_IIIiiiIiioIiioI: ( ( $i > $i > $i ) > $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIIiioIIiioIoIiioI,type,
    domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiiIiioI,type,
    domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiiiIiioI,type,
    domain_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiiioIiioI,type,
    domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiioIiioI,type,
    domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IiiioI,type,
    domain_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_duration_THFTYPE_IiioI,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_equal_THFTYPE_i,type,
    equal_THFTYPE_i: $i ).

thf(tp_father_THFTYPE_IiioI,type,
    father_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_greaterThanOrEqualTo_THFTYPE_IiioI,type,
    greaterThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_greaterThan_THFTYPE_IiioI,type,
    greaterThan_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_gt_THFTYPE_IiioI,type,
    gt_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_gtet_THFTYPE_IiioI,type,
    gtet_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_husband_THFTYPE_IiioI,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_inList_THFTYPE_IiioI,type,
    inList_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_instance_THFTYPE_IIIiiiIiioIioI,type,
    instance_THFTYPE_IIIiiiIiioIioI: ( ( $i > $i > $i ) > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIIiioIIiioIoIioI,type,
    instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
    instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiIioI,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiiIioI,type,
    instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiioIioI,type,
    instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiioIioI,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiooIioI,type,
    instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IiioI,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_instrument_THFTYPE_i,type,
    instrument_THFTYPE_i: $i ).

thf(tp_inverse_THFTYPE_IIiioIIiioIoI,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_lAdditionFn_THFTYPE_i,type,
    lAdditionFn_THFTYPE_i: $i ).

thf(tp_lAsymmetricRelation_THFTYPE_i,type,
    lAsymmetricRelation_THFTYPE_i: $i ).

thf(tp_lBeginFn_THFTYPE_IiiI,type,
    lBeginFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lBeginFn_THFTYPE_i,type,
    lBeginFn_THFTYPE_i: $i ).

thf(tp_lBinaryFunction_THFTYPE_i,type,
    lBinaryFunction_THFTYPE_i: $i ).

thf(tp_lBinaryPredicate_THFTYPE_i,type,
    lBinaryPredicate_THFTYPE_i: $i ).

thf(tp_lBinaryRelation_THFTYPE_i,type,
    lBinaryRelation_THFTYPE_i: $i ).

thf(tp_lBodyPart_THFTYPE_i,type,
    lBodyPart_THFTYPE_i: $i ).

thf(tp_lCardinalityFn_THFTYPE_IiiI,type,
    lCardinalityFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lChris_THFTYPE_i,type,
    lChris_THFTYPE_i: $i ).

thf(tp_lCorina_THFTYPE_i,type,
    lCorina_THFTYPE_i: $i ).

thf(tp_lDayDuration_THFTYPE_i,type,
    lDayDuration_THFTYPE_i: $i ).

thf(tp_lDay_THFTYPE_i,type,
    lDay_THFTYPE_i: $i ).

thf(tp_lEndFn_THFTYPE_IiiI,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lEndFn_THFTYPE_i,type,
    lEndFn_THFTYPE_i: $i ).

thf(tp_lEntity_THFTYPE_i,type,
    lEntity_THFTYPE_i: $i ).

thf(tp_lFemale_THFTYPE_i,type,
    lFemale_THFTYPE_i: $i ).

thf(tp_lHuman_THFTYPE_i,type,
    lHuman_THFTYPE_i: $i ).

thf(tp_lInheritableRelation_THFTYPE_i,type,
    lInheritableRelation_THFTYPE_i: $i ).

thf(tp_lInteger_THFTYPE_i,type,
    lInteger_THFTYPE_i: $i ).

thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
    lIrreflexiveRelation_THFTYPE_i: $i ).

thf(tp_lListFn_THFTYPE_IiiI,type,
    lListFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lMale_THFTYPE_i,type,
    lMale_THFTYPE_i: $i ).

thf(tp_lMan_THFTYPE_i,type,
    lMan_THFTYPE_i: $i ).

thf(tp_lMeasureFn_THFTYPE_IiiiI,type,
    lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lMonthFn_THFTYPE_i,type,
    lMonthFn_THFTYPE_i: $i ).

thf(tp_lMonth_THFTYPE_i,type,
    lMonth_THFTYPE_i: $i ).

thf(tp_lMultiplicationFn_THFTYPE_i,type,
    lMultiplicationFn_THFTYPE_i: $i ).

thf(tp_lObject_THFTYPE_i,type,
    lObject_THFTYPE_i: $i ).

thf(tp_lOrganism_THFTYPE_i,type,
    lOrganism_THFTYPE_i: $i ).

thf(tp_lPartialOrderingRelation_THFTYPE_i,type,
    lPartialOrderingRelation_THFTYPE_i: $i ).

thf(tp_lProcess_THFTYPE_i,type,
    lProcess_THFTYPE_i: $i ).

thf(tp_lQuantity_THFTYPE_i,type,
    lQuantity_THFTYPE_i: $i ).

thf(tp_lRealNumber_THFTYPE_i,type,
    lRealNumber_THFTYPE_i: $i ).

thf(tp_lRelationExtendedToQuantities_THFTYPE_i,type,
    lRelationExtendedToQuantities_THFTYPE_i: $i ).

thf(tp_lRelation_THFTYPE_i,type,
    lRelation_THFTYPE_i: $i ).

thf(tp_lReproductiveBody_THFTYPE_i,type,
    lReproductiveBody_THFTYPE_i: $i ).

thf(tp_lSetOrClass_THFTYPE_i,type,
    lSetOrClass_THFTYPE_i: $i ).

thf(tp_lSingleValuedRelation_THFTYPE_i,type,
    lSingleValuedRelation_THFTYPE_i: $i ).

thf(tp_lSubtractionFn_THFTYPE_i,type,
    lSubtractionFn_THFTYPE_i: $i ).

thf(tp_lSymmetricRelation_THFTYPE_i,type,
    lSymmetricRelation_THFTYPE_i: $i ).

thf(tp_lTemporalCompositionFn_THFTYPE_IiiiI,type,
    lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lTemporalCompositionFn_THFTYPE_i,type,
    lTemporalCompositionFn_THFTYPE_i: $i ).

thf(tp_lTemporalRelation_THFTYPE_i,type,
    lTemporalRelation_THFTYPE_i: $i ).

thf(tp_lTernaryPredicate_THFTYPE_i,type,
    lTernaryPredicate_THFTYPE_i: $i ).

thf(tp_lTimeInterval_THFTYPE_i,type,
    lTimeInterval_THFTYPE_i: $i ).

thf(tp_lTimePoint_THFTYPE_i,type,
    lTimePoint_THFTYPE_i: $i ).

thf(tp_lTotalValuedRelation_THFTYPE_i,type,
    lTotalValuedRelation_THFTYPE_i: $i ).

thf(tp_lTransitiveRelation_THFTYPE_i,type,
    lTransitiveRelation_THFTYPE_i: $i ).

thf(tp_lUnaryFunction_THFTYPE_i,type,
    lUnaryFunction_THFTYPE_i: $i ).

thf(tp_lUnitOfMeasure_THFTYPE_i,type,
    lUnitOfMeasure_THFTYPE_i: $i ).

thf(tp_lWhenFn_THFTYPE_IiiI,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lWhenFn_THFTYPE_i,type,
    lWhenFn_THFTYPE_i: $i ).

thf(tp_lWoman_THFTYPE_i,type,
    lWoman_THFTYPE_i: $i ).

thf(tp_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lYearFn_THFTYPE_i,type,
    lYearFn_THFTYPE_i: $i ).

thf(tp_lYear_THFTYPE_i,type,
    lYear_THFTYPE_i: $i ).

thf(tp_lessThanOrEqualTo_THFTYPE_IiioI,type,
    lessThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_lessThan_THFTYPE_IiioI,type,
    lessThan_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_located_THFTYPE_IiioI,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_lt_THFTYPE_IiioI,type,
    lt_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_ltet_THFTYPE_IiioI,type,
    ltet_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_meetsTemporally_THFTYPE_IiioI,type,
    meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_minus_THFTYPE_IiiiI,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_mother_THFTYPE_IiioI,type,
    mother_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_n12_THFTYPE_i,type,
    n12_THFTYPE_i: $i ).

thf(tp_n1_THFTYPE_i,type,
    n1_THFTYPE_i: $i ).

thf(tp_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

thf(tp_n2_THFTYPE_i,type,
    n2_THFTYPE_i: $i ).

thf(tp_n3_THFTYPE_i,type,
    n3_THFTYPE_i: $i ).

thf(tp_orientation_THFTYPE_IiiioI,type,
    orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_parent_THFTYPE_IiioI,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_part_THFTYPE_IiioI,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_partition_THFTYPE_IiiioI,type,
    partition_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_patient_THFTYPE_i,type,
    patient_THFTYPE_i: $i ).

thf(tp_rangeSubclass_THFTYPE_IiioI,type,
    rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_range_THFTYPE_IiioI,type,
    range_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiIiiIoI,type,
    relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiioI,type,
    relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_result_THFTYPE_i,type,
    result_THFTYPE_i: $i ).

thf(tp_sK100_E,type,
    sK100_E: $i ).

thf(tp_sK101_E,type,
    sK101_E: $i ).

thf(tp_sK102_E,type,
    sK102_E: $i ).

thf(tp_sK103_E,type,
    sK103_E: $i ).

thf(tp_sK104_E,type,
    sK104_E: $i ).

thf(tp_sK105_E,type,
    sK105_E: $i ).

thf(tp_sK106_E,type,
    sK106_E: $i ).

thf(tp_sK107_E,type,
    sK107_E: $i ).

thf(tp_sK108_E,type,
    sK108_E: $i ).

thf(tp_sK109_E,type,
    sK109_E: $i ).

thf(tp_sK10_E,type,
    sK10_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK110_E,type,
    sK110_E: $i ).

thf(tp_sK111_E,type,
    sK111_E: $i ).

thf(tp_sK112_E,type,
    sK112_E: $i ).

thf(tp_sK113_E,type,
    sK113_E: $i ).

thf(tp_sK114_E,type,
    sK114_E: $i ).

thf(tp_sK115_E,type,
    sK115_E: $i ).

thf(tp_sK116_E,type,
    sK116_E: $i ).

thf(tp_sK117_E,type,
    sK117_E: $i ).

thf(tp_sK118_E,type,
    sK118_E: $i ).

thf(tp_sK119_E,type,
    sK119_E: $i ).

thf(tp_sK11_E,type,
    sK11_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK120_E,type,
    sK120_E: $i ).

thf(tp_sK121_E,type,
    sK121_E: $i ).

thf(tp_sK122_E,type,
    sK122_E: $i ).

thf(tp_sK123_E,type,
    sK123_E: $i ).

thf(tp_sK124_E,type,
    sK124_E: $i ).

thf(tp_sK125_E,type,
    sK125_E: $i ).

thf(tp_sK126_E,type,
    sK126_E: $i ).

thf(tp_sK127_E,type,
    sK127_E: $i ).

thf(tp_sK128_E,type,
    sK128_E: $i ).

thf(tp_sK129_E,type,
    sK129_E: $i ).

thf(tp_sK12_E,type,
    sK12_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK130_E,type,
    sK130_E: $i ).

thf(tp_sK131_E,type,
    sK131_E: $i ).

thf(tp_sK132_E,type,
    sK132_E: $i ).

thf(tp_sK133_E,type,
    sK133_E: $i ).

thf(tp_sK134_E,type,
    sK134_E: $i ).

thf(tp_sK135_E,type,
    sK135_E: $i ).

thf(tp_sK136_E,type,
    sK136_E: $i ).

thf(tp_sK137_E,type,
    sK137_E: $i ).

thf(tp_sK138_E,type,
    sK138_E: $i ).

thf(tp_sK139_E,type,
    sK139_E: $i ).

thf(tp_sK13_E,type,
    sK13_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK140_E,type,
    sK140_E: $i ).

thf(tp_sK141_E,type,
    sK141_E: $i ).

thf(tp_sK142_E,type,
    sK142_E: $i ).

thf(tp_sK143_E,type,
    sK143_E: $i ).

thf(tp_sK144_E,type,
    sK144_E: $i ).

thf(tp_sK145_E,type,
    sK145_E: $i ).

thf(tp_sK146_E,type,
    sK146_E: $i ).

thf(tp_sK147_E,type,
    sK147_E: $i ).

thf(tp_sK148_E,type,
    sK148_E: $i ).

thf(tp_sK149_E,type,
    sK149_E: $i ).

thf(tp_sK14_E,type,
    sK14_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK150_E,type,
    sK150_E: $i ).

thf(tp_sK151_E,type,
    sK151_E: $i ).

thf(tp_sK152_E,type,
    sK152_E: $i ).

thf(tp_sK153_E,type,
    sK153_E: $i ).

thf(tp_sK154_E,type,
    sK154_E: $i ).

thf(tp_sK155_E,type,
    sK155_E: $i ).

thf(tp_sK156_E,type,
    sK156_E: $i ).

thf(tp_sK157_E,type,
    sK157_E: $i ).

thf(tp_sK158_E,type,
    sK158_E: $i ).

thf(tp_sK159_E,type,
    sK159_E: $i ).

thf(tp_sK15_E,type,
    sK15_E: ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK160_E,type,
    sK160_E: $i ).

thf(tp_sK161_E,type,
    sK161_E: $i ).

thf(tp_sK162_E,type,
    sK162_E: $i ).

thf(tp_sK163_E,type,
    sK163_E: $i ).

thf(tp_sK164_E,type,
    sK164_E: $i ).

thf(tp_sK165_E,type,
    sK165_E: $i ).

thf(tp_sK166_E,type,
    sK166_E: $i ).

thf(tp_sK167_E,type,
    sK167_E: $i ).

thf(tp_sK168_E,type,
    sK168_E: $i ).

thf(tp_sK169_E,type,
    sK169_E: $i ).

thf(tp_sK16_E,type,
    sK16_E: ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK170_E,type,
    sK170_E: $i ).

thf(tp_sK171_E,type,
    sK171_E: $i ).

thf(tp_sK172_E,type,
    sK172_E: $i ).

thf(tp_sK173_E,type,
    sK173_E: $i ).

thf(tp_sK174_E,type,
    sK174_E: $i ).

thf(tp_sK175_E,type,
    sK175_E: $i ).

thf(tp_sK176_E,type,
    sK176_E: $i ).

thf(tp_sK177_E,type,
    sK177_E: $i ).

thf(tp_sK178_E,type,
    sK178_E: $i ).

thf(tp_sK179_E,type,
    sK179_E: $i ).

thf(tp_sK17_E,type,
    sK17_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK180_E,type,
    sK180_E: $i ).

thf(tp_sK181_E,type,
    sK181_E: $i ).

thf(tp_sK182_E,type,
    sK182_E: $i ).

thf(tp_sK183_E,type,
    sK183_E: $i ).

thf(tp_sK184_E,type,
    sK184_E: $i ).

thf(tp_sK18_E,type,
    sK18_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK19_E,type,
    sK19_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK1_INST1,type,
    sK1_INST1: ( $i > $i > $o ) > $i ).

thf(tp_sK20_E,type,
    sK20_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK21_E,type,
    sK21_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK22_E,type,
    sK22_E: ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i ) > $i > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK23_E,type,
    sK23_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK24_E,type,
    sK24_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK25_E,type,
    sK25_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK26_E,type,
    sK26_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK27_E,type,
    sK27_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK28_E,type,
    sK28_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK29_E,type,
    sK29_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK2_SY24,type,
    sK2_SY24: ( $i > $i > $o ) > $i ).

thf(tp_sK30_E,type,
    sK30_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK31_E,type,
    sK31_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK32_E,type,
    sK32_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK33_E,type,
    sK33_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK34_E,type,
    sK34_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK35_E,type,
    sK35_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK36_E,type,
    sK36_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK37_E,type,
    sK37_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK38_E,type,
    sK38_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK39_E,type,
    sK39_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK3_INST,type,
    sK3_INST: ( $i > $i > $o ) > $i ).

thf(tp_sK40_E,type,
    sK40_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK41_E,type,
    sK41_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK42_E,type,
    sK42_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK43_E,type,
    sK43_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK44_E,type,
    sK44_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK45_E,type,
    sK45_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK46_E,type,
    sK46_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK47_E,type,
    sK47_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK48_E,type,
    sK48_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK49_E,type,
    sK49_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK4_INST1,type,
    sK4_INST1: ( $i > $i > $o ) > $i ).

thf(tp_sK50_E,type,
    sK50_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK51_E,type,
    sK51_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK52_E,type,
    sK52_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK53_E,type,
    sK53_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK54_E,type,
    sK54_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK55_E,type,
    sK55_E: $i ).

thf(tp_sK56_E,type,
    sK56_E: $i ).

thf(tp_sK57_E,type,
    sK57_E: $i ).

thf(tp_sK58_E,type,
    sK58_E: $i ).

thf(tp_sK59_E,type,
    sK59_E: $i ).

thf(tp_sK5_SY25,type,
    sK5_SY25: ( $i > $i > $o ) > $i ).

thf(tp_sK60_E,type,
    sK60_E: $i ).

thf(tp_sK61_E,type,
    sK61_E: $i ).

thf(tp_sK62_E,type,
    sK62_E: $i ).

thf(tp_sK63_E,type,
    sK63_E: $i ).

thf(tp_sK64_E,type,
    sK64_E: $i ).

thf(tp_sK65_E,type,
    sK65_E: $i ).

thf(tp_sK66_E,type,
    sK66_E: $i ).

thf(tp_sK67_E,type,
    sK67_E: $i ).

thf(tp_sK68_E,type,
    sK68_E: $i ).

thf(tp_sK69_E,type,
    sK69_E: $i ).

thf(tp_sK6_SY27,type,
    sK6_SY27: ( $i > $i > $o ) > $i ).

thf(tp_sK70_E,type,
    sK70_E: $i ).

thf(tp_sK71_E,type,
    sK71_E: $i ).

thf(tp_sK72_E,type,
    sK72_E: $i ).

thf(tp_sK73_E,type,
    sK73_E: $i ).

thf(tp_sK74_E,type,
    sK74_E: $i ).

thf(tp_sK75_E,type,
    sK75_E: $i ).

thf(tp_sK76_E,type,
    sK76_E: $i ).

thf(tp_sK77_E,type,
    sK77_E: $i ).

thf(tp_sK78_E,type,
    sK78_E: $i ).

thf(tp_sK79_E,type,
    sK79_E: $i ).

thf(tp_sK7_E,type,
    sK7_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK80_E,type,
    sK80_E: $i ).

thf(tp_sK81_E,type,
    sK81_E: $i ).

thf(tp_sK82_E,type,
    sK82_E: $i ).

thf(tp_sK83_E,type,
    sK83_E: $i ).

thf(tp_sK84_E,type,
    sK84_E: $i ).

thf(tp_sK85_E,type,
    sK85_E: $i ).

thf(tp_sK86_E,type,
    sK86_E: $i ).

thf(tp_sK87_E,type,
    sK87_E: $i ).

thf(tp_sK88_E,type,
    sK88_E: $i ).

thf(tp_sK89_E,type,
    sK89_E: $i ).

thf(tp_sK8_E,type,
    sK8_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).

thf(tp_sK90_E,type,
    sK90_E: $i ).

thf(tp_sK91_E,type,
    sK91_E: $i ).

thf(tp_sK92_E,type,
    sK92_E: $i ).

thf(tp_sK93_E,type,
    sK93_E: $i ).

thf(tp_sK94_E,type,
    sK94_E: $i ).

thf(tp_sK95_E,type,
    sK95_E: $i ).

thf(tp_sK96_E,type,
    sK96_E: $i ).

thf(tp_sK97_E,type,
    sK97_E: $i ).

thf(tp_sK98_E,type,
    sK98_E: $i ).

thf(tp_sK99_E,type,
    sK99_E: $i ).

thf(tp_sK9_E,type,
    sK9_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $i ) > ( $i > $i > $i > $i > $i > $i > $o ) > $i ).

thf(tp_spouse_THFTYPE_i,type,
    spouse_THFTYPE_i: $i ).

thf(tp_subAttribute_THFTYPE_IiioI,type,
    subAttribute_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subProcess_THFTYPE_IiioI,type,
    subProcess_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subclass_THFTYPE_IiioI,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subrelation_THFTYPE_IIiioIIiioIoI,type,
    subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_subrelation_THFTYPE_IIiioIioI,type,
    subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_subrelation_THFTYPE_IiioI,type,
    subrelation_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_temporalPart_THFTYPE_IiioI,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_wife_THFTYPE_IiioI,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(2,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_295) ).

thf(6,axiom,
    subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_291) ).

thf(7,axiom,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_290) ).

thf(12,axiom,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_285) ).

thf(18,axiom,
    instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_279) ).

thf(19,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_278) ).

thf(21,axiom,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_276) ).

thf(31,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_266) ).

thf(37,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_260) ).

thf(38,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_259) ).

thf(42,axiom,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_255) ).

thf(43,axiom,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_254) ).

thf(44,axiom,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_253) ).

thf(45,axiom,
    instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_252) ).

thf(47,axiom,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_250) ).

thf(48,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_249) ).

thf(51,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_246) ).

thf(55,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_242) ).

thf(60,axiom,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_237) ).

thf(62,axiom,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_235) ).

thf(64,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_233) ).

thf(65,axiom,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_232) ).

thf(73,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_224) ).

thf(95,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_202) ).

thf(96,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_201) ).

thf(99,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_198) ).

thf(109,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_188) ).

thf(120,axiom,
    instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_177) ).

thf(121,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_176) ).

thf(128,axiom,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_169) ).

thf(129,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_168) ).

thf(133,axiom,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_164) ).

thf(137,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_160) ).

thf(138,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_159) ).

thf(140,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_157) ).

thf(144,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_153) ).

thf(146,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_151) ).

thf(149,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_148) ).

thf(150,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_147) ).

thf(152,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_145) ).

thf(158,axiom,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_139) ).

thf(159,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_138) ).

thf(164,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133) ).

thf(165,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_132) ).

thf(167,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_130) ).

thf(171,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_126) ).

thf(172,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_125) ).

thf(173,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_124) ).

thf(176,axiom,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_121) ).

thf(178,axiom,
    instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_119) ).

thf(181,axiom,
    subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_116) ).

thf(182,axiom,
    instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_115) ).

thf(184,axiom,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113) ).

thf(188,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_109) ).

thf(190,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_107) ).

thf(194,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_103) ).

thf(204,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_093) ).

thf(215,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_082) ).

thf(222,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_075) ).

thf(248,axiom,
    ! [REL: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
    <=> ! [INST1: $i,INST2: $i] :
          ( ( REL @ INST1 @ INST2 )
         => ( REL @ INST2 @ INST1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_049) ).

thf(250,axiom,
    ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_047) ).

thf(271,axiom,
    ! [REL: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
    <=> ! [INST: $i] :
          ~ ( REL @ INST @ INST ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).

thf(273,axiom,
    ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
        & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
     => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).

thf(281,axiom,
    ! [REL: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
    <=> ! [INST1: $i,INST2: $i,INST3: $i] :
          ( ( ( REL @ INST1 @ INST2 )
            & ( REL @ INST2 @ INST3 ) )
         => ( REL @ INST1 @ INST3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_016) ).

thf(287,axiom,
    subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_010) ).

thf(292,axiom,
    ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
     => ! [INST1: $i,INST2: $i] :
          ( ( REL1 @ INST1 @ INST2 )
        <=> ( REL2 @ INST2 @ INST1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(296,axiom,
    ! [REL: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
     => ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
          ( ( ( REL @ ROW @ ITEM1 )
            & ( REL @ ROW @ ITEM2 ) )
         => ( ITEM1 = ITEM2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

thf(298,conjecture,
    ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(299,negated_conjecture,
    ( ( ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[298]) ).

thf(300,plain,
    ( ( ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(301,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(302,plain,
    ( ( subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(303,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(304,plain,
    ( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(305,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(306,plain,
    ( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(307,plain,
    ( ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(308,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(309,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(310,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(311,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(312,plain,
    ( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(313,plain,
    ( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(314,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(315,plain,
    ( ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(316,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(317,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(318,plain,
    ( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(319,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(320,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(321,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(322,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(323,plain,
    ( ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(324,plain,
    ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(325,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(326,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(327,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(328,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(329,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(330,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(331,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(332,plain,
    ( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(333,plain,
    ( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(334,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(335,plain,
    ( ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(336,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(337,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(338,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(339,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(340,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(341,plain,
    ( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(342,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(343,plain,
    ( ( instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(344,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(345,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(346,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(347,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(348,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(349,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
        <=> ! [INST1: $i,INST2: $i] :
              ( ( REL @ INST1 @ INST2 )
             => ( REL @ INST2 @ INST1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(350,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
        <=> ! [INST: $i] :
              ~ ( REL @ INST @ INST ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(351,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
        <=> ! [INST1: $i,INST2: $i,INST3: $i] :
              ( ( ( REL @ INST1 @ INST2 )
                & ( REL @ INST2 @ INST3 ) )
             => ( REL @ INST1 @ INST3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(352,plain,
    ( ( subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(353,plain,
    ( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
          ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
         => ! [INST1: $i,INST2: $i] :
              ( ( REL1 @ INST1 @ INST2 )
            <=> ( REL2 @ INST2 @ INST1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(354,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
         => ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
              ( ( ( REL @ ROW @ ITEM1 )
                & ( REL @ ROW @ ITEM2 ) )
             => ( ITEM1 = ITEM2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(355,plain,
    ( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(356,plain,
    ( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(357,plain,
    ( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(358,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(359,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(360,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(361,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(362,plain,
    ( ( subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(364,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(365,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(366,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(367,plain,
    ( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(368,plain,
    ( ( ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
          ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
            & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
         => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(369,plain,
    ( ( ~ ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[300]) ).

thf(370,plain,
    ( ( ! [X: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[369]) ).

thf(371,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( ( REL @ ( sK1_INST1 @ REL ) @ ( sK2_SY24 @ REL ) )
            & ~ ( REL @ ( sK2_SY24 @ REL ) @ ( sK1_INST1 @ REL ) ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
          | ! [INST1: $i,INST2: $i] :
              ( ~ ( REL @ INST1 @ INST2 )
              | ( REL @ INST2 @ INST1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[349]) ).

thf(372,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( REL @ ( sK3_INST @ REL ) @ ( sK3_INST @ REL ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
          | ! [INST: $i] :
              ~ ( REL @ INST @ INST ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[350]) ).

thf(373,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( ( REL @ ( sK4_INST1 @ REL ) @ ( sK5_SY25 @ REL ) )
            & ( REL @ ( sK5_SY25 @ REL ) @ ( sK6_SY27 @ REL ) )
            & ~ ( REL @ ( sK4_INST1 @ REL ) @ ( sK6_SY27 @ REL ) ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
          | ! [INST1: $i,INST2: $i,INST3: $i] :
              ( ~ ( REL @ INST1 @ INST2 )
              | ~ ( REL @ INST2 @ INST3 )
              | ( REL @ INST1 @ INST3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[351]) ).

thf(374,plain,
    ( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
          ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
          | ( ! [INST1: $i,INST2: $i] :
                ( ~ ( REL1 @ INST1 @ INST2 )
                | ( REL2 @ INST2 @ INST1 ) )
            & ! [INST1: $i,INST2: $i] :
                ( ~ ( REL2 @ INST2 @ INST1 )
                | ( REL1 @ INST1 @ INST2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[353]) ).

thf(375,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
          | ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
              ( ~ ( REL @ ROW @ ITEM1 )
              | ~ ( REL @ ROW @ ITEM2 )
              | ( ITEM1 = ITEM2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[354]) ).

thf(376,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[366]) ).

thf(377,plain,
    ( ( ! [SITUATION: $o,TIME2: $i] :
          ( ! [TIME1: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
              | ~ ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[368]) ).

thf(378,plain,
    ( ( ! [SITUATION: $o,TIME2: $i] :
          ( ! [TIME1: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
              | ~ ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(379,plain,
    ( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(380,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(381,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
    = $true ),
    inference(copy,[status(thm)],[365]) ).

thf(382,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[364]) ).

thf(384,plain,
    ( ( subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[362]) ).

thf(385,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[361]) ).

thf(386,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[360]) ).

thf(387,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[359]) ).

thf(388,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[358]) ).

thf(389,plain,
    ( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[357]) ).

thf(390,plain,
    ( ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[356]) ).

thf(391,plain,
    ( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
    = $true ),
    inference(copy,[status(thm)],[355]) ).

thf(392,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSingleValuedRelation_THFTYPE_i )
          | ! [ROW: $i,ITEM1: $i,ITEM2: $i] :
              ( ~ ( REL @ ROW @ ITEM1 )
              | ~ ( REL @ ROW @ ITEM2 )
              | ( ITEM1 = ITEM2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(393,plain,
    ( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
          ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
          | ( ! [INST1: $i,INST2: $i] :
                ( ~ ( REL1 @ INST1 @ INST2 )
                | ( REL2 @ INST2 @ INST1 ) )
            & ! [INST1: $i,INST2: $i] :
                ( ~ ( REL2 @ INST2 @ INST1 )
                | ( REL1 @ INST1 @ INST2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(394,plain,
    ( ( subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[352]) ).

thf(395,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( ( REL @ ( sK4_INST1 @ REL ) @ ( sK5_SY25 @ REL ) )
            & ( REL @ ( sK5_SY25 @ REL ) @ ( sK6_SY27 @ REL ) )
            & ~ ( REL @ ( sK4_INST1 @ REL ) @ ( sK6_SY27 @ REL ) ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lTransitiveRelation_THFTYPE_i )
          | ! [INST1: $i,INST2: $i,INST3: $i] :
              ( ~ ( REL @ INST1 @ INST2 )
              | ~ ( REL @ INST2 @ INST3 )
              | ( REL @ INST1 @ INST3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(396,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( REL @ ( sK3_INST @ REL ) @ ( sK3_INST @ REL ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lIrreflexiveRelation_THFTYPE_i )
          | ! [INST: $i] :
              ~ ( REL @ INST @ INST ) ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(397,plain,
    ( ( ! [REL: $i > $i > $o] :
          ( ( ( REL @ ( sK1_INST1 @ REL ) @ ( sK2_SY24 @ REL ) )
            & ~ ( REL @ ( sK2_SY24 @ REL ) @ ( sK1_INST1 @ REL ) ) )
          | ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i ) )
      & ! [REL: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ REL @ lSymmetricRelation_THFTYPE_i )
          | ! [INST1: $i,INST2: $i] :
              ( ~ ( REL @ INST1 @ INST2 )
              | ( REL @ INST2 @ INST1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[371]) ).

thf(398,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[348]) ).

thf(399,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[347]) ).

thf(400,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[346]) ).

thf(401,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[345]) ).

thf(402,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[344]) ).

thf(403,plain,
    ( ( instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[343]) ).

thf(404,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[342]) ).

thf(405,plain,
    ( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[341]) ).

thf(406,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[340]) ).

thf(407,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[339]) ).

thf(408,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[338]) ).

thf(409,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[337]) ).

thf(410,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[336]) ).

thf(411,plain,
    ( ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[335]) ).

thf(412,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[334]) ).

thf(413,plain,
    ( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[333]) ).

thf(414,plain,
    ( ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[332]) ).

thf(415,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[331]) ).

thf(416,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[330]) ).

thf(417,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[329]) ).

thf(418,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[328]) ).

thf(419,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[327]) ).

thf(420,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[326]) ).

thf(421,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[325]) ).

thf(422,plain,
    ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[324]) ).

thf(423,plain,
    ( ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[323]) ).

thf(424,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[322]) ).

thf(425,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[321]) ).

thf(426,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[320]) ).

thf(427,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[319]) ).

thf(428,plain,
    ( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[318]) ).

thf(429,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[317]) ).

thf(430,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[316]) ).

thf(431,plain,
    ( ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[315]) ).

thf(432,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[314]) ).

thf(433,plain,
    ( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[313]) ).

thf(434,plain,
    ( ( instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[312]) ).

thf(435,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[311]) ).

thf(436,plain,
    ( ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[310]) ).

thf(437,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[309]) ).

thf(438,plain,
    ( ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[308]) ).

thf(439,plain,
    ( ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[307]) ).

thf(440,plain,
    ( ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[306]) ).

thf(441,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[305]) ).

thf(442,plain,
    ( ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[304]) ).

thf(443,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[303]) ).

thf(444,plain,
    ( ( subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[302]) ).

thf(445,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[301]) ).

thf(446,plain,
    ( ( ! [X: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(447,plain,
    ( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
          ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
          | ~ ( ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( SX1 @ SX2 @ SX3 )
                    | ( SX0 @ SX3 @ SX2 ) )
              | ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( SX0 @ SX3 @ SX2 )
                    | ( SX1 @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[393]) ).

thf(448,plain,
    ( ( ~ ( ~ ! [SX0: $i > $i > $o] :
                ( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
                | ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) )
          | ~ ! [SX0: $i > $i > $o] :
                ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
                | ! [SX1: $i] :
                    ~ ( SX0 @ SX1 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[396]) ).

thf(449,plain,
    ( ( ~ ( ~ ! [SX0: $i > $i > $o] :
                ( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY24 @ SX0 ) )
                    | ~ ~ ( SX0 @ ( sK2_SY24 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
                | ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) )
          | ~ ! [SX0: $i > $i > $o] :
                ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
                | ! [SX1: $i,SX2: $i] :
                    ( ~ ( SX0 @ SX1 @ SX2 )
                    | ( SX0 @ SX2 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[397]) ).

thf(450,plain,
    ( ( ~ ( ~ ! [SX0: $i > $i > $o] :
                ( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY25 @ SX0 ) )
                          | ~ ( SX0 @ ( sK5_SY25 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
                    | ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
                | ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) )
          | ~ ! [SX0: $i > $i > $o] :
                ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
                | ! [SX1: $i,SX2: $i,SX3: $i] :
                    ( ~ ( SX0 @ SX1 @ SX2 )
                    | ~ ( SX0 @ SX2 @ SX3 )
                    | ( SX0 @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[395]) ).

thf(451,plain,
    ! [SV1: $o] :
      ( ( ! [SY28: $i] :
            ( ! [SY29: $i] :
                ( ~ ( holdsDuring_THFTYPE_IiooI @ SY29 @ SV1 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SY28 @ SY29 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY28 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[378]) ).

thf(452,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[378]) ).

thf(453,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX0 @ $false ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[378]) ).

thf(454,plain,
    ! [SV2: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(455,plain,
    ! [SV3: $i] :
      ( ( ! [SY30: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SY30 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SY30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(456,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        | ! [SY31: $i,SY32: $i,SY33: $i] :
            ( ~ ( SV4 @ SY31 @ SY32 )
            | ~ ( SV4 @ SY31 @ SY33 )
            | ( SY32 = SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(457,plain,
    ! [SV5: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV5 @ lCorina_THFTYPE_i ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(458,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ! [SY34: $i > $i > $o] :
            ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY34 @ SV6 )
            | ~ ( ~ ! [SY35: $i,SY36: $i] :
                      ( ~ ( SY34 @ SY35 @ SY36 )
                      | ( SV6 @ SY36 @ SY35 ) )
                | ~ ! [SY37: $i,SY38: $i] :
                      ( ~ ( SV6 @ SY38 @ SY37 )
                      | ( SY34 @ SY37 @ SY38 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(459,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) )
      | ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
            | ! [SX1: $i] :
                ~ ( SX0 @ SX1 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(460,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY24 @ SX0 ) )
                | ~ ~ ( SX0 @ ( sK2_SY24 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) )
      | ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
            | ! [SX1: $i,SX2: $i] :
                ( ~ ( SX0 @ SX1 @ SX2 )
                | ( SX0 @ SX2 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(461,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY25 @ SX0 ) )
                      | ~ ( SX0 @ ( sK5_SY25 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
                | ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) )
      | ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
            | ! [SX1: $i,SX2: $i,SX3: $i] :
                ( ~ ( SX0 @ SX1 @ SX2 )
                | ~ ( SX0 @ SX2 @ SX3 )
                | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(462,plain,
    ! [SV7: $i,SV1: $o] :
      ( ( ! [SY39: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY39 @ SV1 )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY39 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(463,plain,
    ! [SV8: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY40 @ $true )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SY40 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(464,plain,
    ! [SV9: $i] :
      ( ( ! [SY41: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY41 @ $false )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SY41 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(465,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[455]) ).

thf(466,plain,
    ! [SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[455]) ).

thf(467,plain,
    ! [SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[455]) ).

thf(468,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY31: $i,SY32: $i,SY33: $i] :
              ( ~ ( SV4 @ SY31 @ SY32 )
              | ~ ( SV4 @ SY31 @ SY33 )
              | ( SY32 = SY33 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[456]) ).

thf(469,plain,
    ! [SV5: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV5 @ lCorina_THFTYPE_i ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(470,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        | ~ ( ~ ! [SY42: $i,SY43: $i] :
                  ( ~ ( SV11 @ SY42 @ SY43 )
                  | ( SV6 @ SY43 @ SY42 ) )
            | ~ ! [SY44: $i,SY45: $i] :
                  ( ~ ( SV6 @ SY45 @ SY44 )
                  | ( SV11 @ SY44 @ SY45 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(471,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(472,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
            | ! [SX1: $i] :
                ~ ( SX0 @ SX1 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(473,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY24 @ SX0 ) )
                | ~ ~ ( SX0 @ ( sK2_SY24 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[460]) ).

thf(474,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
            | ! [SX1: $i,SX2: $i] :
                ( ~ ( SX0 @ SX1 @ SX2 )
                | ( SX0 @ SX2 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[460]) ).

thf(475,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY25 @ SX0 ) )
                      | ~ ( SX0 @ ( sK5_SY25 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
                | ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
            | ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[461]) ).

thf(476,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
            | ! [SX1: $i,SX2: $i,SX3: $i] :
                ( ~ ( SX0 @ SX1 @ SX2 )
                | ~ ( SX0 @ SX2 @ SX3 )
                | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[461]) ).

thf(477,plain,
    ! [SV7: $i,SV1: $o] :
      ( ( ( ! [SY39: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY39 @ SV1 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY39 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[462]) ).

thf(478,plain,
    ! [SV8: $i] :
      ( ( ( ! [SY40: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY40 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SY40 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(479,plain,
    ! [SV9: $i] :
      ( ( ( ! [SY41: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY41 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SY41 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(480,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[465]) ).

thf(481,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(482,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[467]) ).

thf(483,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false )
      | ( ( ! [SY31: $i,SY32: $i,SY33: $i] :
              ( ~ ( SV4 @ SY31 @ SY32 )
              | ~ ( SV4 @ SY31 @ SY33 )
              | ( SY32 = SY33 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(484,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY42: $i,SY43: $i] :
                    ( ~ ( SV11 @ SY42 @ SY43 )
                    | ( SV6 @ SY43 @ SY42 ) )
              | ~ ! [SY44: $i,SY45: $i] :
                    ( ~ ( SV6 @ SY45 @ SY44 )
                    | ( SV11 @ SY44 @ SY45 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(485,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ( SX0 @ ( sK3_INST @ SX0 ) @ ( sK3_INST @ SX0 ) )
          | ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(486,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lIrreflexiveRelation_THFTYPE_i )
          | ! [SX1: $i] :
              ~ ( SX0 @ SX1 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[472]) ).

thf(487,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( ~ ( SX0 @ ( sK1_INST1 @ SX0 ) @ ( sK2_SY24 @ SX0 ) )
              | ~ ~ ( SX0 @ ( sK2_SY24 @ SX0 ) @ ( sK1_INST1 @ SX0 ) ) )
          | ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[473]) ).

thf(488,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lSymmetricRelation_THFTYPE_i )
          | ! [SX1: $i,SX2: $i] :
              ( ~ ( SX0 @ SX1 @ SX2 )
              | ( SX0 @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(489,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( ~ ~ ( ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK5_SY25 @ SX0 ) )
                    | ~ ( SX0 @ ( sK5_SY25 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
              | ~ ~ ( SX0 @ ( sK4_INST1 @ SX0 ) @ ( sK6_SY27 @ SX0 ) ) )
          | ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[475]) ).

thf(490,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ( ~ ( instance_THFTYPE_IIiioIioI @ SX0 @ lTransitiveRelation_THFTYPE_i )
          | ! [SX1: $i,SX2: $i,SX3: $i] :
              ( ~ ( SX0 @ SX1 @ SX2 )
              | ~ ( SX0 @ SX2 @ SX3 )
              | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(491,plain,
    ! [SV7: $i,SV1: $o,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV1 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(492,plain,
    ! [SV8: $i,SV13: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(493,plain,
    ! [SV9: $i,SV14: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV14 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(494,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(495,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(496,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(497,plain,
    ! [SV15: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY46: $i,SY47: $i] :
              ( ~ ( SV4 @ SV15 @ SY46 )
              | ~ ( SV4 @ SV15 @ SY47 )
              | ( SY46 = SY47 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(498,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false )
      | ( ( ~ ( ~ ! [SY42: $i,SY43: $i] :
                    ( ~ ( SV11 @ SY42 @ SY43 )
                    | ( SV6 @ SY43 @ SY42 ) )
              | ~ ! [SY44: $i,SY45: $i] :
                    ( ~ ( SV6 @ SY45 @ SY44 )
                    | ( SV11 @ SY44 @ SY45 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(499,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        | ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(500,plain,
    ! [SV17: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        | ! [SY48: $i] :
            ~ ( SV17 @ SY48 @ SY48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(501,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ~ ( ~ ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
            | ~ ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) )
        | ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(502,plain,
    ! [SV19: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        | ! [SY49: $i,SY50: $i] :
            ( ~ ( SV19 @ SY49 @ SY50 )
            | ( SV19 @ SY50 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(503,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ~ ( ~ ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
                  | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
            | ~ ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(504,plain,
    ! [SV21: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        | ! [SY51: $i,SY52: $i,SY53: $i] :
            ( ~ ( SV21 @ SY51 @ SY52 )
            | ~ ( SV21 @ SY52 @ SY53 )
            | ( SV21 @ SY51 @ SY53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(505,plain,
    ! [SV7: $i,SV1: $o,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV1 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[491]) ).

thf(506,plain,
    ! [SV8: $i,SV13: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(507,plain,
    ! [SV9: $i,SV14: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV14 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(508,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[494]) ).

thf(509,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(510,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(511,plain,
    ! [SV22: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY54: $i] :
              ( ~ ( SV4 @ SV15 @ SV22 )
              | ~ ( SV4 @ SV15 @ SY54 )
              | ( SV22 = SY54 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(512,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ( ~ ! [SY42: $i,SY43: $i] :
                ( ~ ( SV11 @ SY42 @ SY43 )
                | ( SV6 @ SY43 @ SY42 ) )
          | ~ ! [SY44: $i,SY45: $i] :
                ( ~ ( SV6 @ SY45 @ SY44 )
                | ( SV11 @ SY44 @ SY45 ) ) )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(513,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[499]) ).

thf(514,plain,
    ! [SV17: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY48: $i] :
              ~ ( SV17 @ SY48 @ SY48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[500]) ).

thf(515,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
              | ~ ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[501]) ).

thf(516,plain,
    ! [SV19: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY49: $i,SY50: $i] :
              ( ~ ( SV19 @ SY49 @ SY50 )
              | ( SV19 @ SY50 @ SY49 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(517,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
                    | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
              | ~ ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[503]) ).

thf(518,plain,
    ! [SV21: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY51: $i,SY52: $i,SY53: $i] :
              ( ~ ( SV21 @ SY51 @ SY52 )
              | ~ ( SV21 @ SY52 @ SY53 )
              | ( SV21 @ SY51 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[504]) ).

thf(519,plain,
    ! [SV7: $i,SV1: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV1 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(520,plain,
    ! [SV8: $i,SV13: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV13 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(521,plain,
    ! [SV9: $i,SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV14 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(522,plain,
    ! [SV23: $i,SV22: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV15 @ SV22 )
          | ~ ( SV4 @ SV15 @ SV23 )
          | ( SV22 = SV23 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(523,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ( ~ ! [SY42: $i,SY43: $i] :
                ( ~ ( SV11 @ SY42 @ SY43 )
                | ( SV6 @ SY43 @ SY42 ) ) )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[512]) ).

thf(524,plain,
    ! [SV11: $i > $i > $o,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY44: $i,SY45: $i] :
                ( ~ ( SV6 @ SY45 @ SY44 )
                | ( SV11 @ SY44 @ SY45 ) ) )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[512]) ).

thf(525,plain,
    ! [SV17: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( ! [SY48: $i] :
              ~ ( SV17 @ SY48 @ SY48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(526,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
          | ~ ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(527,plain,
    ! [SV19: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ! [SY49: $i,SY50: $i] :
              ( ~ ( SV19 @ SY49 @ SY50 )
              | ( SV19 @ SY50 @ SY49 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[516]) ).

thf(528,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
                | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
          | ~ ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(529,plain,
    ! [SV21: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ! [SY51: $i,SY52: $i,SY53: $i] :
              ( ~ ( SV21 @ SY51 @ SY52 )
              | ~ ( SV21 @ SY52 @ SY53 )
              | ( SV21 @ SY51 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(530,plain,
    ! [SV1: $o,SV12: $i,SV7: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV1 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(531,plain,
    ! [SV13: $i,SV8: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV8 @ SV13 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV13 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(532,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV9 @ SV14 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(533,plain,
    ! [SV23: $i,SV22: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV15 @ SV22 )
          | ~ ( SV4 @ SV15 @ SV23 ) )
        = $true )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(534,plain,
    ! [SV6: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ( ! [SY42: $i,SY43: $i] :
              ( ~ ( SV11 @ SY42 @ SY43 )
              | ( SV6 @ SY43 @ SY42 ) ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[523]) ).

thf(535,plain,
    ! [SV11: $i > $i > $o,SV6: $i > $i > $o] :
      ( ( ( ! [SY44: $i,SY45: $i] :
              ( ~ ( SV6 @ SY45 @ SY44 )
              | ( SV11 @ SY44 @ SY45 ) ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(536,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ~ ( SV17 @ SV24 @ SV24 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(537,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[526]) ).

thf(538,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[526]) ).

thf(539,plain,
    ! [SV25: $i,SV19: $i > $i > $o] :
      ( ( ( ! [SY55: $i] :
              ( ~ ( SV19 @ SV25 @ SY55 )
              | ( SV19 @ SY55 @ SV25 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(540,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
                | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(541,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(542,plain,
    ! [SV26: $i,SV21: $i > $i > $o] :
      ( ( ( ! [SY56: $i,SY57: $i] :
              ( ~ ( SV21 @ SV26 @ SY56 )
              | ~ ( SV21 @ SY56 @ SY57 )
              | ( SV21 @ SV26 @ SY57 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(543,plain,
    ! [SV23: $i,SV22: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV15 @ SV22 ) )
        = $true )
      | ( ( ~ ( SV4 @ SV15 @ SV23 ) )
        = $true )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(544,plain,
    ! [SV6: $i > $i > $o,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( ! [SY58: $i] :
              ( ~ ( SV11 @ SV27 @ SY58 )
              | ( SV6 @ SY58 @ SV27 ) ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(545,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY59: $i] :
              ( ~ ( SV6 @ SY59 @ SV28 )
              | ( SV11 @ SV28 @ SY59 ) ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(546,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( SV17 @ SV24 @ SV24 )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(547,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[537]) ).

thf(548,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[538]) ).

thf(549,plain,
    ! [SV29: $i,SV25: $i,SV19: $i > $i > $o] :
      ( ( ( ~ ( SV19 @ SV25 @ SV29 )
          | ( SV19 @ SV29 @ SV25 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(550,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
              | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(551,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(552,plain,
    ! [SV30: $i,SV26: $i,SV21: $i > $i > $o] :
      ( ( ( ! [SY60: $i] :
              ( ~ ( SV21 @ SV26 @ SV30 )
              | ~ ( SV21 @ SV30 @ SY60 )
              | ( SV21 @ SV26 @ SY60 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(553,plain,
    ! [SV23: $i,SV22: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV15 @ SV22 )
        = $false )
      | ( ( ~ ( SV4 @ SV15 @ SV23 ) )
        = $true )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(554,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ SV27 @ SV31 )
          | ( SV6 @ SV31 @ SV27 ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(555,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV32 @ SV28 )
          | ( SV11 @ SV28 @ SV32 ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[545]) ).

thf(556,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[548]) ).

thf(557,plain,
    ! [SV29: $i,SV25: $i,SV19: $i > $i > $o] :
      ( ( ( ~ ( SV19 @ SV25 @ SV29 ) )
        = $true )
      | ( ( SV19 @ SV29 @ SV25 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[549]) ).

thf(558,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
          | ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(559,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(560,plain,
    ! [SV33: $i,SV30: $i,SV26: $i,SV21: $i > $i > $o] :
      ( ( ( ~ ( SV21 @ SV26 @ SV30 )
          | ~ ( SV21 @ SV30 @ SV33 )
          | ( SV21 @ SV26 @ SV33 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(561,plain,
    ! [SV22: $i,SV23: $i,SV15: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV15 @ SV23 )
        = $false )
      | ( ( SV4 @ SV15 @ SV22 )
        = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV4 @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(562,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ SV27 @ SV31 ) )
        = $true )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[554]) ).

thf(563,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV32 @ SV28 ) )
        = $true )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[555]) ).

thf(564,plain,
    ! [SV29: $i,SV25: $i,SV19: $i > $i > $o] :
      ( ( ( SV19 @ SV25 @ SV29 )
        = $false )
      | ( ( SV19 @ SV29 @ SV25 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV19 @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(565,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(566,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(567,plain,
    ! [SV33: $i,SV30: $i,SV26: $i,SV21: $i > $i > $o] :
      ( ( ( ~ ( SV21 @ SV26 @ SV30 )
          | ~ ( SV21 @ SV30 @ SV33 ) )
        = $true )
      | ( ( SV21 @ SV26 @ SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(568,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(569,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(570,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[565]) ).

thf(571,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(572,plain,
    ! [SV33: $i,SV30: $i,SV26: $i,SV21: $i > $i > $o] :
      ( ( ( ~ ( SV21 @ SV26 @ SV30 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV30 @ SV33 ) )
        = $true )
      | ( ( SV21 @ SV26 @ SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[567]) ).

thf(573,plain,
    ! [SV33: $i,SV30: $i,SV26: $i,SV21: $i > $i > $o] :
      ( ( ( SV21 @ SV26 @ SV30 )
        = $false )
      | ( ( ~ ( SV21 @ SV30 @ SV33 ) )
        = $true )
      | ( ( SV21 @ SV26 @ SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(574,plain,
    ! [SV26: $i,SV33: $i,SV30: $i,SV21: $i > $i > $o] :
      ( ( ( SV21 @ SV30 @ SV33 )
        = $false )
      | ( ( SV21 @ SV26 @ SV30 )
        = $false )
      | ( ( SV21 @ SV26 @ SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV21 @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(575,plain,
    ! [SV24: $i] :
      ( ( ( SV24 = SV24 )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[546:[bind(SV17,$thf( ^ [SV35: $i] : ^ [SV34: $i] : ( SV35 = SV34 ) ))]]) ).

thf(576,plain,
    ! [SV24: $i] :
      ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
        @ lIrreflexiveRelation_THFTYPE_i )
      = $false ),
    inference(sim,[status(thm)],[575]) ).

thf(578,plain,
    ( ( $false = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $false
        @ lIrreflexiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[513:[bind(SV16,$thf( ^ [SV113: $i] : ^ [SV114: $i] : $false ))]]) ).

thf(579,plain,
    ! [SV112: $i > $i > $o] :
      ( ( ( ~ ( SV112
              @ ( sK3_INST
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV112 @ SX0 @ SX1 ) )
              @ ( sK3_INST
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV112 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV112 @ SX0 @ SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[513:[bind(SV16,$thf( ^ [SV110: $i] : ^ [SV111: $i] : ~ ( SV112 @ SV110 @ SV111 ) ))]]) ).

thf(580,plain,
    ( ( ( ( sK3_INST
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
       != ( sK3_INST
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lIrreflexiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[513:[bind(SV16,$thf( ^ [SY151: $i] : ^ [SY152: $i] : ( SY151 != SY152 ) ))]]) ).

thf(582,plain,
    ( ( $true = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $true
        @ lIrreflexiveRelation_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[546:[bind(SV17,$thf( ^ [SV106: $i] : ^ [SV107: $i] : $true ))]]) ).

thf(584,plain,
    ! [SV24: $i,SV103: $i > $i > $o] :
      ( ( ( ~ ( SV103 @ SV24 @ SV24 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV103 @ SX0 @ SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[546:[bind(SV17,$thf( ^ [SV101: $i] : ^ [SV102: $i] : ~ ( SV103 @ SV101 @ SV102 ) ))]]) ).

thf(586,plain,
    ! [SV24: $i] :
      ( ( ( SV24 = SV24 )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[546:[bind(SV17,$thf( ^ [SV100: $i] : ^ [SV99: $i] : ( SV100 = SV99 ) ))]]) ).

thf(588,plain,
    ( ( $false = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $false
        @ lSymmetricRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[547:[bind(SV18,$thf( ^ [SV95: $i] : ^ [SV96: $i] : $false ))]]) ).

thf(589,plain,
    ! [SV94: $i > $i > $o] :
      ( ( ( ~ ( SV94
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV94 @ SX0 @ SX1 ) )
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV94 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV94 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[547:[bind(SV18,$thf( ^ [SV92: $i] : ^ [SV93: $i] : ~ ( SV94 @ SV92 @ SV93 ) ))]]) ).

thf(591,plain,
    ( ( ( ( sK1_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = ( sK2_SY24
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
        @ lSymmetricRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[547:[bind(SV18,$thf( ^ [SV91: $i] : ^ [SV90: $i] : ( SV91 = SV90 ) ))]]) ).

thf(592,plain,
    ( ( $true = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $true
        @ lSymmetricRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[556:[bind(SV18,$thf( ^ [SV97: $i] : ^ [SV98: $i] : $true ))]]) ).

thf(594,plain,
    ! [SV94: $i > $i > $o] :
      ( ( ( ~ ( SV94
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV94 @ SX0 @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV94 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV94 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[556:[bind(SV18,$thf( ^ [SV92: $i] : ^ [SV93: $i] : ~ ( SV94 @ SV92 @ SV93 ) ))]]) ).

thf(595,plain,
    ( ( ( ( sK2_SY24
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
       != ( sK1_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lSymmetricRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[556:[bind(SV18,$thf( ^ [SY129: $i] : ^ [SY130: $i] : ( SY129 != SY130 ) ))]]) ).

thf(597,plain,
    ( ( $true = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $true
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[559:[bind(SV20,$thf( ^ [SV88: $i] : ^ [SV89: $i] : $true ))]]) ).

thf(599,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( ~ ( SV85
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[559:[bind(SV20,$thf( ^ [SV83: $i] : ^ [SV84: $i] : ~ ( SV85 @ SV83 @ SV84 ) ))]]) ).

thf(600,plain,
    ( ( ( ( sK4_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
       != ( sK6_SY27
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[559:[bind(SV20,$thf( ^ [SY118: $i] : ^ [SY119: $i] : ( SY118 != SY119 ) ))]]) ).

thf(602,plain,
    ! [SV23: $i,SV22: $i] :
      ( ( $true = $false )
      | ( $true = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : $true
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[561:[bind(SV4,$thf( ^ [SV79: $i] : ^ [SV80: $i] : $true ))]]) ).

thf(604,plain,
    ! [SV22: $i,SV23: $i,SV15: $i,SV76: $i > $i > $o] :
      ( ( ( ~ ( SV76 @ SV15 @ SV23 ) )
        = $false )
      | ( ( ~ ( SV76 @ SV15 @ SV22 ) )
        = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV76 @ SX0 @ SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[561:[bind(SV4,$thf( ^ [SV74: $i] : ^ [SV75: $i] : ~ ( SV76 @ SV74 @ SV75 ) ))]]) ).

thf(605,plain,
    ! [SV22: $i,SV23: $i,SV15: $i] :
      ( ( ( SV15 != SV23 )
        = $false )
      | ( ( SV15 != SV22 )
        = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[561:[bind(SV4,$thf( ^ [SY107: $i] : ^ [SY108: $i] : ( SY107 != SY108 ) ))]]) ).

thf(609,plain,
    ! [SV29: $i,SV25: $i,SV67: $i > $i > $o] :
      ( ( ( ~ ( SV67 @ SV25 @ SV29 ) )
        = $false )
      | ( ( ~ ( SV67 @ SV29 @ SV25 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV67 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[564:[bind(SV19,$thf( ^ [SV65: $i] : ^ [SV66: $i] : ~ ( SV67 @ SV65 @ SV66 ) ))]]) ).

thf(613,plain,
    ! [SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( $false = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : $false )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV6,$thf( ^ [SV50: $i] : ^ [SV51: $i] : $false ))]]) ).

thf(614,plain,
    ! [SV49: $i > $i > $o,SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( ~ ( SV49 @ SV31 @ SV27 ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV49 @ SX0 @ SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV6,$thf( ^ [SV47: $i] : ^ [SV48: $i] : ~ ( SV49 @ SV47 @ SV48 ) ))]]) ).

thf(615,plain,
    ! [SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( SV31 != SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV6,$thf( ^ [SY74: $i] : ^ [SY75: $i] : ( SY74 != SY75 ) ))]]) ).

thf(616,plain,
    ! [SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( SV31 = SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV6,$thf( ^ [SV46: $i] : ^ [SV45: $i] : ( SV46 = SV45 ) ))]]) ).

thf(617,plain,
    ! [SV27: $i,SV31: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : $true
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV11,$thf( ^ [SV61: $i] : ^ [SV62: $i] : $true ))]]) ).

thf(619,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i,SV58: $i > $i > $o] :
      ( ( ( ~ ( SV58 @ SV27 @ SV31 ) )
        = $false )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV58 @ SX0 @ SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV11,$thf( ^ [SV56: $i] : ^ [SV57: $i] : ~ ( SV58 @ SV56 @ SV57 ) ))]]) ).

thf(620,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i] :
      ( ( ( SV27 != SV31 )
        = $false )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV11,$thf( ^ [SY85: $i] : ^ [SY86: $i] : ( SY85 != SY86 ) ))]]) ).

thf(621,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i] :
      ( ( ( SV27 = SV31 )
        = $false )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[568:[bind(SV11,$thf( ^ [SV55: $i] : ^ [SV54: $i] : ( SV55 = SV54 ) ))]]) ).

thf(622,plain,
    ! [SV32: $i,SV28: $i,SV11: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : $true )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV6,$thf( ^ [SV52: $i] : ^ [SV53: $i] : $true ))]]) ).

thf(624,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i,SV49: $i > $i > $o] :
      ( ( ( ~ ( SV49 @ SV32 @ SV28 ) )
        = $false )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV49 @ SX0 @ SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV6,$thf( ^ [SV47: $i] : ^ [SV48: $i] : ~ ( SV49 @ SV47 @ SV48 ) ))]]) ).

thf(625,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i] :
      ( ( ( SV32 != SV28 )
        = $false )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV6,$thf( ^ [SY74: $i] : ^ [SY75: $i] : ( SY74 != SY75 ) ))]]) ).

thf(626,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i] :
      ( ( ( SV32 = SV28 )
        = $false )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV6,$thf( ^ [SV46: $i] : ^ [SV45: $i] : ( SV46 = SV45 ) ))]]) ).

thf(628,plain,
    ! [SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( $false = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : $false
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV11,$thf( ^ [SV59: $i] : ^ [SV60: $i] : $false ))]]) ).

thf(629,plain,
    ! [SV58: $i > $i > $o,SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( ~ ( SV58 @ SV28 @ SV32 ) )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV58 @ SX0 @ SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV11,$thf( ^ [SV56: $i] : ^ [SV57: $i] : ~ ( SV58 @ SV56 @ SV57 ) ))]]) ).

thf(630,plain,
    ! [SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( SV28 != SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV11,$thf( ^ [SY85: $i] : ^ [SY86: $i] : ( SY85 != SY86 ) ))]]) ).

thf(631,plain,
    ! [SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( SV28 = SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ SV6 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[569:[bind(SV11,$thf( ^ [SV55: $i] : ^ [SV54: $i] : ( SV55 = SV54 ) ))]]) ).

thf(633,plain,
    ( ( $false = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $false
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[570:[bind(SV20,$thf( ^ [SV86: $i] : ^ [SV87: $i] : $false ))]]) ).

thf(634,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( ~ ( SV85
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) )
              @ ( sK5_SY25
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[570:[bind(SV20,$thf( ^ [SV83: $i] : ^ [SV84: $i] : ~ ( SV85 @ SV83 @ SV84 ) ))]]) ).

thf(636,plain,
    ( ( ( ( sK4_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = ( sK5_SY25
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[570:[bind(SV20,$thf( ^ [SV82: $i] : ^ [SV81: $i] : ( SV82 = SV81 ) ))]]) ).

thf(638,plain,
    ( ( $false = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : $false
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[571:[bind(SV20,$thf( ^ [SV86: $i] : ^ [SV87: $i] : $false ))]]) ).

thf(639,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( ~ ( SV85
              @ ( sK5_SY25
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV85 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[571:[bind(SV20,$thf( ^ [SV83: $i] : ^ [SV84: $i] : ~ ( SV85 @ SV83 @ SV84 ) ))]]) ).

thf(641,plain,
    ( ( ( ( sK5_SY25
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = ( sK6_SY27
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[571:[bind(SV20,$thf( ^ [SV82: $i] : ^ [SV81: $i] : ( SV82 = SV81 ) ))]]) ).

thf(644,plain,
    ! [SV26: $i,SV33: $i,SV30: $i,SV40: $i > $i > $o] :
      ( ( ( ~ ( SV40 @ SV30 @ SV33 ) )
        = $false )
      | ( ( ~ ( SV40 @ SV26 @ SV30 ) )
        = $false )
      | ( ( ~ ( SV40 @ SV26 @ SV33 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV40 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[574:[bind(SV21,$thf( ^ [SV38: $i] : ^ [SV39: $i] : ~ ( SV40 @ SV38 @ SV39 ) ))]]) ).

thf(645,plain,
    ! [SV26: $i,SV33: $i,SV30: $i] :
      ( ( ( SV30 != SV33 )
        = $false )
      | ( ( SV26 != SV30 )
        = $false )
      | ( ( SV26 != SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[574:[bind(SV21,$thf( ^ [SY63: $i] : ^ [SY64: $i] : ( SY63 != SY64 ) ))]]) ).

thf(647,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[508]) ).

thf(648,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[509]) ).

thf(649,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[510]) ).

thf(650,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true )
      | ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[513]) ).

thf(651,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( SV17 @ SV24 @ SV24 )
        = $false )
      | ( ( ( SV17 @ SV24 @ SV24 )
          = ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[546]) ).

thf(652,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true )
      | ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[547]) ).

thf(653,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false )
      | ( ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
          = ( ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[556]) ).

thf(654,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false )
      | ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          = ( ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[559]) ).

thf(655,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true )
      | ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[570]) ).

thf(656,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true )
      | ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[571]) ).

thf(657,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[647]) ).

thf(659,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[648]) ).

thf(661,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[649]) ).

thf(663,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( ~ ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[650]) ).

thf(664,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[650]) ).

thf(665,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ~ ( ( SV17 @ SV24 @ SV24 )
              | ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV17 @ SV24 @ SV24 )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[651]) ).

thf(666,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ( SV17 @ SV24 @ SV24 )
          = ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[651]) ).

thf(667,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[652]) ).

thf(668,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[652]) ).

thf(669,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
              | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[653]) ).

thf(670,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
          = ( ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[653]) ).

thf(671,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[654]) ).

thf(672,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          = ( ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[654]) ).

thf(673,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[655]) ).

thf(674,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[655]) ).

thf(675,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
          | ~ ( ~ ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[656]) ).

thf(676,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          = ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[656]) ).

thf(678,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[657]) ).

thf(680,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[659]) ).

thf(682,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[661]) ).

thf(683,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( ~ ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[663]) ).

thf(686,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV17 @ SV24 @ SV24 )
              | ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(687,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[667]) ).

thf(690,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
              | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[669]) ).

thf(692,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(693,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(695,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
              | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) ) )
        = $false )
      | ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(698,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[678]) ).

thf(700,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[680]) ).

thf(702,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[682]) ).

thf(703,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
          | ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(706,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ~ ( SV17 @ SV24 @ SV24 )
          | ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(707,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
          | ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[687]) ).

thf(710,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
          | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(712,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          | ~ ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(713,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
          | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(715,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
          | ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(718,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(720,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(722,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(723,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[703]) ).

thf(726,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( ~ ( SV17 @ SV24 @ SV24 ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(727,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(730,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) ) )
        = $true )
      | ( ( ~ ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[710]) ).

thf(732,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) ) )
        = $true )
      | ( ( ~ ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(733,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(735,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(737,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(738,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(739,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(741,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( SV17 @ SV24 @ SV24 )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(744,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false )
      | ( ( ~ ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(746,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false )
      | ( ( ~ ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(749,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(750,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(751,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(753,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(755,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(756,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(759,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(760,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[756]) ).

thf(765,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK8_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(766,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK7_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(767,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lIrreflexiveRelation_THFTYPE_i ) ))]]) ).

thf(768,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK8_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(769,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK7_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(770,plain,
    ! [SV132: $i > $i > $i > $i > $i,SV131: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ ( sK3_INST
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lIrreflexiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV131
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV132
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lIrreflexiveRelation_THFTYPE_i ) )
            @ ( sK7_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK8_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV131
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV132
                @ ( sK7_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK8_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV131 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lIrreflexiveRelation_THFTYPE_i ) ))]]) ).

thf(771,plain,
    ! [SV122: $i > $i > $i,SV121: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV121
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) )
          @ ( SV122
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV121
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) )
          @ ( SV122
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[664:[bind(SV16,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ))]]) ).

thf(773,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK16_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ lIrreflexiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[666:[bind(SV24,$thf( lIrreflexiveRelation_THFTYPE_i )),bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(774,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK15_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ lIrreflexiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[666:[bind(SV24,$thf( lIrreflexiveRelation_THFTYPE_i )),bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(775,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV24: $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SV24 @ SV24 @ SX0 @ SX1 ) @ ( SV282 @ SV24 @ SV24 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ SV24 @ SV24
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ SV24 @ SV24
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[666:[bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lIrreflexiveRelation_THFTYPE_i ) ))]]) ).

thf(776,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK16_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ lIrreflexiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[666:[bind(SV24,$thf( lIrreflexiveRelation_THFTYPE_i )),bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(777,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ lIrreflexiveRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ lIrreflexiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ lIrreflexiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK15_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ lIrreflexiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[666:[bind(SV24,$thf( lIrreflexiveRelation_THFTYPE_i )),bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(778,plain,
    ! [SV282: $i > $i > $i > $i > $i,SV24: $i,SV281: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SV24 @ SV24 @ SX0 @ SX1 ) @ ( SV282 @ SV24 @ SV24 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV281 @ SV24 @ SV24
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV282 @ SV24 @ SV24
            @ ( sK15_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK16_E
              @ ^ [SX0: $i,SX1: $i] : lIrreflexiveRelation_THFTYPE_i
              @ SV24
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV281
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV282
                @ ( sK15_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK16_E
                  @ ^ [SX2: $i,SX3: $i] : lIrreflexiveRelation_THFTYPE_i
                  @ SV24
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV282 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[666:[bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV281 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV282 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lIrreflexiveRelation_THFTYPE_i ) ))]]) ).

thf(780,plain,
    ! [SV272: $i > $i > $i,SV24: $i,SV271: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SV24 @ SV24 ) @ ( SV272 @ SV24 @ SV24 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SV24 @ SV24 ) @ ( SV272 @ SV24 @ SV24 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SX0 @ SX1 ) @ ( SV272 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[666:[bind(SV17,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SX0 @ SX1 ) @ ( SV272 @ SX0 @ SX1 ) ) ))]]) ).

thf(781,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK24_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(782,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK23_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(783,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lSymmetricRelation_THFTYPE_i ) ))]]) ).

thf(784,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK24_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(785,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK23_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(786,plain,
    ! [SV436: $i > $i > $i > $i > $i,SV435: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV435
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV436
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lSymmetricRelation_THFTYPE_i ) )
            @ ( sK23_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK24_E
              @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV435
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV436
                @ ( sK23_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK24_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV436 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV435 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV436 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lSymmetricRelation_THFTYPE_i ) ))]]) ).

thf(787,plain,
    ! [SV426: $i > $i > $i,SV425: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV425
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) )
          @ ( SV426
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV425
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) )
          @ ( SV426
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[668:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ))]]) ).

thf(789,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).

thf(790,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX0 ) ))]]) ).

thf(791,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lSymmetricRelation_THFTYPE_i ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lSymmetricRelation_THFTYPE_i ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ lSymmetricRelation_THFTYPE_i ) ))]]) ).

thf(792,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).

thf(793,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX0 ) ))]]) ).

thf(794,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK2_SY24
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lSymmetricRelation_THFTYPE_i ) )
                    @ ( sK1_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lSymmetricRelation_THFTYPE_i ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) @ lSymmetricRelation_THFTYPE_i ) ))]]) ).

thf(795,plain,
    ! [SV581: $i > $i > $i,SV580: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ( SV580
                @ ( sK2_SY24
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
                @ ( sK1_INST1
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) )
              @ ( SV581
                @ ( sK2_SY24
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
                @ ( sK1_INST1
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV580
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) )
          @ ( SV581
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ))]]) ).

thf(798,plain,
    ! [SV575: $i > $i > $o] :
      ( ( ( ~ ( SV575
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV575
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV575 @ SX0 @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[670:[bind(SV18,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV575 @ SX0 @ SX1 ) ))]]) ).

thf(799,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).

thf(800,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX0 ) ))]]) ).

thf(801,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lTransitiveRelation_THFTYPE_i ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lTransitiveRelation_THFTYPE_i ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(802,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX3 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).

thf(803,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ SX2 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX0 ) ))]]) ).

thf(804,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK4_INST1
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lTransitiveRelation_THFTYPE_i ) )
                    @ ( sK6_SY27
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( instance_THFTYPE_IIiioIioI
                            @ ^ [SX4: $i,SX5: $i] :
                                ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                            @ lTransitiveRelation_THFTYPE_i ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(805,plain,
    ! [SV640: $i > $i > $i,SV639: $i > $i > $i > $i > $o] :
      ( ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ( SV639
                @ ( sK4_INST1
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
                @ ( sK6_SY27
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) )
              @ ( SV640
                @ ( sK4_INST1
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
                @ ( sK6_SY27
                  @ ^ [SX0: $i,SX1: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV639
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) )
          @ ( SV640
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ))]]) ).

thf(808,plain,
    ! [SV634: $i > $i > $o] :
      ( ( ( ~ ( SV634
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV634
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV634 @ SX0 @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[672:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV634 @ SX0 @ SX1 ) ))]]) ).

thf(809,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK40_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(810,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK39_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(811,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(812,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK40_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(813,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK39_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(814,plain,
    ! [SV704: $i > $i > $i > $i > $i,SV703: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV703
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV704
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK40_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV703
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV704
                @ ( sK39_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK40_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV704 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV703 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV704 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(815,plain,
    ! [SV694: $i > $i > $i,SV693: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV693
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) )
          @ ( SV694
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV693
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) )
          @ ( SV694
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[674:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ))]]) ).

thf(817,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK48_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(818,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK47_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(819,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(820,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX3 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX1 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX1
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK48_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).

thf(821,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ SX2 ) )
                @ SX0
                @ SX1 ) )
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ( instance_THFTYPE_IIiioIioI
                @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ SX0 ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : SX0
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ ( sK47_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX0 ) ))]]) ).

thf(822,plain,
    ! [SV854: $i > $i > $i > $i > $i,SV853: $i > $i > $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK5_SY25
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                      @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV853
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
          @ ( SV854
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  @ lTransitiveRelation_THFTYPE_i ) )
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
            @ ( sK48_E
              @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
              @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ( instance_THFTYPE_IIiioIioI
              @ ( SV853
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 )
              @ ( SV854
                @ ( sK47_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ ( sK48_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV854 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
                @ SX0
                @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ^ [SX2: $i] : ^ [SX3: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV853 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV854 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ lTransitiveRelation_THFTYPE_i ) ))]]) ).

thf(823,plain,
    ! [SV844: $i > $i > $i,SV843: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV843
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) )
          @ ( SV844
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV843
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) )
          @ ( SV844
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[676:[bind(SV20,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ))]]) ).

thf(829,plain,
    ! [SV575: $i > $i > $o] :
      ( ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV575
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV575 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV575 @ SX0 @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[798]) ).

thf(832,plain,
    ! [SV581: $i > $i > $i,SV580: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV580
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) )
          @ ( SV581
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV580
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) )
          @ ( SV581
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[795]) ).

thf(833,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[794]) ).

thf(834,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(835,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(836,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lSymmetricRelation_THFTYPE_i ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[791]) ).

thf(837,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[790]) ).

thf(838,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV590
              @ ( sK2_SY24
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK1_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(839,plain,
    ! [SV634: $i > $i > $o] :
      ( ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( SV634
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV634 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV634 @ SX0 @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[808]) ).

thf(842,plain,
    ! [SV640: $i > $i > $i,SV639: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV639
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) )
          @ ( SV640
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ( SV639
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) )
          @ ( SV640
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(843,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[804]) ).

thf(844,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(845,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(846,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ lTransitiveRelation_THFTYPE_i ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[801]) ).

thf(847,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX0 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[800]) ).

thf(848,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV649
              @ ( sK4_INST1
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK6_SY27
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( instance_THFTYPE_IIiioIioI
                      @ ^ [SX2: $i,SX3: $i] :
                          ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                      @ SX1 ) )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[799]) ).

thf(849,plain,
    ! [SV575: $i > $i > $o] :
      ( ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV575 @ SX0 @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[829]) ).

thf(851,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(852,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(853,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[835]) ).

thf(854,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lSymmetricRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(855,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK31_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(856,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV590
                    @ ( sK31_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK32_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK32_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[838]) ).

thf(857,plain,
    ! [SV634: $i > $i > $o] :
      ( ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV634 @ SX0 @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[839]) ).

thf(859,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(860,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(861,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[845]) ).

thf(862,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ lTransitiveRelation_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(863,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX2
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK35_E
                @ ^ [SX0: $i,SX1: $i] : SX0
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[847]) ).

thf(864,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IIiioIioI
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV649
                    @ ( sK35_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ ( sK36_E
                      @ ^ [SX2: $i,SX3: $i] : SX3
                      @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                          ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                    @ SX0
                    @ SX1 )
              @ ( sK36_E
                @ ^ [SX0: $i,SX1: $i] : SX1
                @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                    ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(865,plain,
    ! [SV575: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV575 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[849]) ).

thf(867,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(868,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[852]) ).

thf(869,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(870,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : lSymmetricRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lSymmetricRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lSymmetricRelation_THFTYPE_i ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : lSymmetricRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(871,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(872,plain,
    ! [SV590: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK31_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK32_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV590
                @ ( sK2_SY24
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK1_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV590 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lSymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( SV590
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK31_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK32_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV590 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(873,plain,
    ! [SV634: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV634 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[857]) ).

thf(875,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[859]) ).

thf(876,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[860]) ).

thf(877,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[861]) ).

thf(878,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : lTransitiveRelation_THFTYPE_i
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ lTransitiveRelation_THFTYPE_i ) )
                @ SX0
                @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ lTransitiveRelation_THFTYPE_i ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : lTransitiveRelation_THFTYPE_i
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(879,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : SX2
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX2 ) )
                @ SX0
                @ SX1 )
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX0 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX0
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(880,plain,
    ! [SV649: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK35_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ ( sK36_E
                  @ ^ [SX2: $i,SX3: $i] : SX3
                  @ ^ [SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
                      ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 ) )
                @ SX0
                @ SX1 )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV649
                @ ( sK4_INST1
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ ( sK6_SY27
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( instance_THFTYPE_IIiioIioI
                        @ ^ [SX4: $i,SX5: $i] :
                            ~ ( SV649 @ SX2 @ SX3 @ SX4 @ SX5 )
                        @ SX3 ) )
                @ SX0
                @ SX1 )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          = lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV649
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( instance_THFTYPE_IIiioIioI
                  @ ^ [SX2: $i,SX3: $i] :
                      ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 )
                  @ SX1 ) )
          @ ( sK35_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) )
          @ ( sK36_E
            @ ^ [SX0: $i,SX1: $i] : SX1
            @ ^ [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
                ~ ( SV649 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(881,plain,
    ! [SV112: $i > $i > $o] :
      ( ( ( SV112
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV112 @ SX0 @ SX1 ) )
          @ ( sK3_INST
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV112 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV112 @ SX0 @ SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(882,plain,
    ( ( ( ( sK3_INST
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK3_INST
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $false )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lIrreflexiveRelation_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(883,plain,
    ! [SV24: $i,SV103: $i > $i > $o] :
      ( ( ( SV103 @ SV24 @ SV24 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV103 @ SX0 @ SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(885,plain,
    ! [SV94: $i > $i > $o] :
      ( ( ( SV94
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV94 @ SX0 @ SX1 ) )
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV94 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV94 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(887,plain,
    ! [SV94: $i > $i > $o] :
      ( ( ( SV94
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV94 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV94 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV94 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[594]) ).

thf(888,plain,
    ( ( ( ( sK2_SY24
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK1_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lSymmetricRelation_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(889,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( SV85
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[599]) ).

thf(890,plain,
    ( ( ( ( sK4_INST1
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK6_SY27
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
        @ lTransitiveRelation_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(891,plain,
    ! [SV22: $i,SV23: $i,SV15: $i,SV76: $i > $i > $o] :
      ( ( ( SV76 @ SV15 @ SV23 )
        = $true )
      | ( ( ~ ( SV76 @ SV15 @ SV22 ) )
        = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV76 @ SX0 @ SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[604]) ).

thf(892,plain,
    ! [SV22: $i,SV23: $i,SV15: $i] :
      ( ( ( SV15 = SV23 )
        = $true )
      | ( ( SV15 != SV22 )
        = $false )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[605]) ).

thf(893,plain,
    ! [SV29: $i,SV25: $i,SV67: $i > $i > $o] :
      ( ( ( SV67 @ SV25 @ SV29 )
        = $true )
      | ( ( ~ ( SV67 @ SV29 @ SV25 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV67 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[609]) ).

thf(895,plain,
    ! [SV11: $i > $i > $o,SV27: $i,SV31: $i,SV49: $i > $i > $o] :
      ( ( ( SV49 @ SV31 @ SV27 )
        = $false )
      | ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV49 @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(896,plain,
    ! [SV11: $i > $i > $o,SV27: $i,SV31: $i] :
      ( ( ( SV31 = SV27 )
        = $false )
      | ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(897,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i,SV58: $i > $i > $o] :
      ( ( ( SV58 @ SV27 @ SV31 )
        = $true )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV58 @ SX0 @ SX1 )
          @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(898,plain,
    ! [SV6: $i > $i > $o,SV31: $i,SV27: $i] :
      ( ( ( SV27 = SV31 )
        = $true )
      | ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[620]) ).

thf(899,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i,SV49: $i > $i > $o] :
      ( ( ( SV49 @ SV32 @ SV28 )
        = $true )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV49 @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(900,plain,
    ! [SV11: $i > $i > $o,SV28: $i,SV32: $i] :
      ( ( ( SV32 = SV28 )
        = $true )
      | ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(901,plain,
    ! [SV6: $i > $i > $o,SV32: $i,SV28: $i,SV58: $i > $i > $o] :
      ( ( ( SV58 @ SV28 @ SV32 )
        = $false )
      | ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV58 @ SX0 @ SX1 )
          @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(902,plain,
    ! [SV6: $i > $i > $o,SV32: $i,SV28: $i] :
      ( ( ( SV28 = SV32 )
        = $false )
      | ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(903,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( SV85
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) )
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(905,plain,
    ! [SV85: $i > $i > $o] :
      ( ( ( SV85
          @ ( sK5_SY25
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV85 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV85 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(907,plain,
    ! [SV26: $i,SV33: $i,SV30: $i,SV40: $i > $i > $o] :
      ( ( ( SV40 @ SV30 @ SV33 )
        = $true )
      | ( ( ~ ( SV40 @ SV26 @ SV30 ) )
        = $false )
      | ( ( ~ ( SV40 @ SV26 @ SV33 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV40 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[644]) ).

thf(908,plain,
    ! [SV26: $i,SV33: $i,SV30: $i] :
      ( ( ( SV30 = SV33 )
        = $true )
      | ( ( SV26 != SV30 )
        = $false )
      | ( ( SV26 != SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[645]) ).

thf(909,plain,
    ! [SV23: $i,SV22: $i,SV15: $i,SV76: $i > $i > $o] :
      ( ( ( SV76 @ SV15 @ SV22 )
        = $true )
      | ( ( SV76 @ SV15 @ SV23 )
        = $true )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV76 @ SX0 @ SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[891]) ).

thf(910,plain,
    ! [SV23: $i,SV22: $i,SV15: $i] :
      ( ( ( SV15 = SV22 )
        = $true )
      | ( ( SV15 = SV23 )
        = $true )
      | ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[892]) ).

thf(911,plain,
    ! [SV25: $i,SV29: $i,SV67: $i > $i > $o] :
      ( ( ( SV67 @ SV29 @ SV25 )
        = $false )
      | ( ( SV67 @ SV25 @ SV29 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV67 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(913,plain,
    ! [SV33: $i,SV30: $i,SV26: $i,SV40: $i > $i > $o] :
      ( ( ( SV40 @ SV26 @ SV30 )
        = $true )
      | ( ( SV40 @ SV30 @ SV33 )
        = $true )
      | ( ( ~ ( SV40 @ SV26 @ SV33 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV40 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[907]) ).

thf(914,plain,
    ! [SV33: $i,SV30: $i,SV26: $i] :
      ( ( ( SV26 = SV30 )
        = $true )
      | ( ( SV30 = SV33 )
        = $true )
      | ( ( SV26 != SV33 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[908]) ).

thf(915,plain,
    ! [SV30: $i,SV33: $i,SV26: $i,SV40: $i > $i > $o] :
      ( ( ( SV40 @ SV26 @ SV33 )
        = $false )
      | ( ( SV40 @ SV30 @ SV33 )
        = $true )
      | ( ( SV40 @ SV26 @ SV30 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV40 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(916,plain,
    ! [SV30: $i,SV33: $i,SV26: $i] :
      ( ( ( SV26 = SV33 )
        = $false )
      | ( ( SV30 = SV33 )
        = $true )
      | ( ( SV26 = SV30 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(917,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
      @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[882]) ).

thf(918,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
      @ lIrreflexiveRelation_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[586]) ).

thf(922,plain,
    ! [SV27: $i,SV11: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = $false )
      | ( ( SV11 @ SV27 @ SV27 )
        = $false ) ),
    inference(extuni,[status(esa)],[896:[bind(SV31,$thf( SV27 ))]]) ).

thf(923,plain,
    ! [SV31: $i,SV6: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ SV6 )
        = $false )
      | ( ( SV6 @ SV31 @ SV31 )
        = $true ) ),
    inference(extuni,[status(esa)],[621:[bind(SV27,$thf( SV31 ))]]) ).

thf(924,plain,
    ! [SV28: $i,SV11: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
        = $false )
      | ( ( SV11 @ SV28 @ SV28 )
        = $true ) ),
    inference(extuni,[status(esa)],[626:[bind(SV32,$thf( SV28 ))]]) ).

thf(925,plain,
    ! [SV32: $i,SV6: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ SV6 )
        = $false )
      | ( ( SV6 @ SV32 @ SV32 )
        = $false ) ),
    inference(extuni,[status(esa)],[902:[bind(SV28,$thf( SV32 ))]]) ).

thf(926,plain,
    ! [SV30: $i,SV33: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV33 = SV30 )
        = $true )
      | ( ( SV30 = SV33 )
        = $true ) ),
    inference(extuni,[status(esa)],[916:[bind(SV26,$thf( SV33 ))]]) ).

thf(928,plain,
    ! [SV10: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV10 )
        = $false ) ),
    inference(sim,[status(thm)],[749]) ).

thf(929,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[750]) ).

thf(930,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[751]) ).

thf(931,plain,
    ! [SV16: $i > $i > $o] :
      ( ( ( SV16 @ ( sK3_INST @ SV16 ) @ ( sK3_INST @ SV16 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV16 @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[723]) ).

thf(932,plain,
    ! [SV122: $i > $i > $i,SV121: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV121
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) )
          @ ( SV122
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) )
            @ ( sK3_INST
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV121 @ SX0 @ SX1 ) @ ( SV122 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[771]) ).

thf(933,plain,
    ! [SV24: $i,SV17: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV17 @ lIrreflexiveRelation_THFTYPE_i )
        = $false )
      | ( ( SV17 @ SV24 @ SV24 )
        = $false ) ),
    inference(sim,[status(thm)],[753]) ).

thf(934,plain,
    ! [SV272: $i > $i > $i,SV24: $i,SV271: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SV24 @ SV24 ) @ ( SV272 @ SV24 @ SV24 ) )
        = $false )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV271 @ SX0 @ SX1 ) @ ( SV272 @ SX0 @ SX1 ) )
          @ lIrreflexiveRelation_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[780]) ).

thf(935,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( SV18 @ ( sK1_INST1 @ SV18 ) @ ( sK2_SY24 @ SV18 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[727]) ).

thf(936,plain,
    ! [SV426: $i > $i > $i,SV425: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV425
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) )
          @ ( SV426
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) )
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV425 @ SX0 @ SX1 ) @ ( SV426 @ SX0 @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[787]) ).

thf(937,plain,
    ! [SV18: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV18 @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV18 @ ( sK2_SY24 @ SV18 ) @ ( sK1_INST1 @ SV18 ) )
        = $false ) ),
    inference(sim,[status(thm)],[759]) ).

thf(938,plain,
    ! [SV575: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV575 @ SX0 @ SX1 )
          @ lSymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( SV575
          @ ( sK2_SY24
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) )
          @ ( sK1_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV575 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[865]) ).

thf(939,plain,
    ! [SV581: $i > $i > $i,SV580: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV580
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) )
          @ ( SV581
            @ ( sK2_SY24
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) )
            @ ( sK1_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV580 @ SX0 @ SX1 ) @ ( SV581 @ SX0 @ SX1 ) )
          @ lSymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[832]) ).

thf(940,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $false ) ),
    inference(sim,[status(thm)],[760]) ).

thf(941,plain,
    ! [SV634: $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( SV634 @ SX0 @ SX1 )
          @ lTransitiveRelation_THFTYPE_i )
        = $true )
      | ( ( SV634
          @ ( sK4_INST1
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) )
          @ ( sK6_SY27
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV634 @ SX0 @ SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[873]) ).

thf(942,plain,
    ! [SV640: $i > $i > $i,SV639: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV639
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) )
          @ ( SV640
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] :
              ~ ( instance_THFTYPE_IIiioIioI @ ( SV639 @ SX0 @ SX1 ) @ ( SV640 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[842]) ).

thf(943,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK4_INST1 @ SV20 ) @ ( sK5_SY25 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[733]) ).

thf(944,plain,
    ! [SV694: $i > $i > $i,SV693: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV693
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) )
          @ ( SV694
            @ ( sK4_INST1
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) )
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV693 @ SX0 @ SX1 ) @ ( SV694 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[815]) ).

thf(945,plain,
    ! [SV20: $i > $i > $o] :
      ( ( ( SV20 @ ( sK5_SY25 @ SV20 ) @ ( sK6_SY27 @ SV20 ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI @ SV20 @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[735]) ).

thf(946,plain,
    ! [SV844: $i > $i > $i,SV843: $i > $i > $i > $i > $o] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ( SV843
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) )
          @ ( SV844
            @ ( sK5_SY25
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) )
            @ ( sK6_SY27
              @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( instance_THFTYPE_IIiioIioI @ ( SV843 @ SX0 @ SX1 ) @ ( SV844 @ SX0 @ SX1 ) )
          @ lTransitiveRelation_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[823]) ).

thf(947,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $false
      @ lIrreflexiveRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[578]) ).

thf(948,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $true
      @ lIrreflexiveRelation_THFTYPE_i )
    = $false ),
    inference(sim,[status(thm)],[582]) ).

thf(949,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $false
      @ lSymmetricRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[588]) ).

thf(950,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $true
      @ lSymmetricRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[592]) ).

thf(951,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $true
      @ lTransitiveRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[597]) ).

thf(952,plain,
    ! [SV23: $i,SV22: $i] :
      ( ( ( SV22 = SV23 )
        = $true )
      | ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : $true
          @ lSingleValuedRelation_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[602]) ).

thf(953,plain,
    ! [SV31: $i,SV27: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV27 @ SV31 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : $false )
        = $false ) ),
    inference(sim,[status(thm)],[613]) ).

thf(954,plain,
    ! [SV27: $i,SV31: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV31 @ SV27 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : $true
          @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[617]) ).

thf(955,plain,
    ! [SV32: $i,SV28: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV28 @ SV32 )
        = $true )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV11
          @ ^ [SX0: $i,SX1: $i] : $true )
        = $false ) ),
    inference(sim,[status(thm)],[622]) ).

thf(956,plain,
    ! [SV28: $i,SV32: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV32 @ SV28 )
        = $false )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI
          @ ^ [SX0: $i,SX1: $i] : $false
          @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[628]) ).

thf(957,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $false
      @ lTransitiveRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[633]) ).

thf(958,plain,
    ( ( instance_THFTYPE_IIiioIioI
      @ ^ [SX0: $i,SX1: $i] : $false
      @ lTransitiveRelation_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[638]) ).

thf(959,plain,
    ! [SV989: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV989 @ $true )
      = $true ),
    inference(rename,[status(thm)],[454]) ).

thf(960,plain,
    ! [SV990: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i ) )
      = $false ),
    inference(rename,[status(thm)],[469]) ).

thf(961,plain,
    ! [SV990: $i,SV989: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i ) )
        = ( holdsDuring_THFTYPE_IiooI @ SV989 @ $true ) )
      = $false ),
    inference(res,[status(thm)],[960,959]) ).

thf(1019,plain,
    ! [SV990: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[960,382]) ).

thf(1021,plain,
    ! [SV990: $i] :
      ( ( ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i )
        = $true )
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1019]) ).

thf(1022,plain,
    ! [SV990: $i] :
      ( ( ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i )
        = $false )
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1019]) ).

thf(1024,plain,
    ! [SV990: $i] :
      ( ( ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[961:[bind(SV989,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1025,plain,
    ! [SV990: $i] :
      ( ( husband_THFTYPE_IiioI @ SV990 @ lCorina_THFTYPE_i )
      = $false ),
    inference(sim,[status(thm)],[1024]) ).

thf(1026,plain,
    ! [SV991: $i] :
      ( ( instance_THFTYPE_IIiioIioI
        @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
        @ lIrreflexiveRelation_THFTYPE_i )
      = $false ),
    inference(rename,[status(thm)],[576]) ).

thf(1030,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,443]) ).

thf(1031,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,442]) ).

thf(1032,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,441]) ).

thf(1033,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,440]) ).

thf(1034,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,439]) ).

thf(1035,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,438]) ).

thf(1037,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,436]) ).

thf(1038,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,435]) ).

thf(1040,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,433]) ).

thf(1041,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,432]) ).

thf(1042,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,431]) ).

thf(1043,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,430]) ).

thf(1044,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,429]) ).

thf(1046,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,427]) ).

thf(1047,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,426]) ).

thf(1048,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,425]) ).

thf(1049,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,424]) ).

thf(1050,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,423]) ).

thf(1052,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,421]) ).

thf(1053,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,420]) ).

thf(1054,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,419]) ).

thf(1055,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,418]) ).

thf(1057,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,416]) ).

thf(1058,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,415]) ).

thf(1059,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,414]) ).

thf(1060,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,413]) ).

thf(1062,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,411]) ).

thf(1063,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,410]) ).

thf(1064,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,409]) ).

thf(1066,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,407]) ).

thf(1068,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,405]) ).

thf(1069,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,404]) ).

thf(1070,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,403]) ).

thf(1071,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,402]) ).

thf(1072,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,401]) ).

thf(1073,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,400]) ).

thf(1074,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,399]) ).

thf(1075,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,398]) ).

thf(1078,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,390]) ).

thf(1079,plain,
    ! [SV991: $i] :
      ( ( ( instance_THFTYPE_IIiioIioI
          @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
          @ lIrreflexiveRelation_THFTYPE_i )
        = ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[1026,389]) ).

thf(1087,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK55_E = sK56_E )
      = $true )
    | ( ( husband_THFTYPE_IiioI @ sK55_E @ sK56_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1079]) ).

thf(1088,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK55_E = sK56_E )
      = $false )
    | ( ( husband_THFTYPE_IiioI @ sK55_E @ sK56_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1079]) ).

thf(1089,plain,
    ( ( ( sK57_E = sK58_E )
      = $true )
    | ( ( husband_THFTYPE_IiioI @ sK57_E @ sK58_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1078]) ).

thf(1090,plain,
    ( ( ( sK57_E = sK58_E )
      = $false )
    | ( ( husband_THFTYPE_IiioI @ sK57_E @ sK58_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1078]) ).

thf(1091,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK59_E = sK60_E )
      = $true )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK59_E @ sK60_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1075]) ).

thf(1092,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK59_E = sK60_E )
      = $false )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK59_E @ sK60_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1075]) ).

thf(1093,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK61_E = sK62_E )
      = $true )
    | ( ( range_THFTYPE_IiioI @ sK61_E @ sK62_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1074]) ).

thf(1094,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK61_E = sK62_E )
      = $false )
    | ( ( range_THFTYPE_IiioI @ sK61_E @ sK62_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1074]) ).

thf(1095,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK63_E = sK64_E )
      = $true )
    | ( ( greaterThanOrEqualTo_THFTYPE_IiioI @ sK63_E @ sK64_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1073]) ).

thf(1096,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK63_E = sK64_E )
      = $false )
    | ( ( greaterThanOrEqualTo_THFTYPE_IiioI @ sK63_E @ sK64_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1073]) ).

thf(1097,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK65_E = sK66_E )
      = $true )
    | ( ( lessThan_THFTYPE_IiioI @ sK65_E @ sK66_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1072]) ).

thf(1098,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK65_E = sK66_E )
      = $false )
    | ( ( lessThan_THFTYPE_IiioI @ sK65_E @ sK66_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1072]) ).

thf(1099,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK67_E = sK68_E )
      = $true )
    | ( ( lessThanOrEqualTo_THFTYPE_IiioI @ sK67_E @ sK68_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1071]) ).

thf(1100,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK67_E = sK68_E )
      = $false )
    | ( ( lessThanOrEqualTo_THFTYPE_IiioI @ sK67_E @ sK68_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1071]) ).

thf(1101,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK69_E = sK70_E )
      = $true )
    | ( ( relatedInternalConcept_THFTYPE_IiioI @ sK69_E @ sK70_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1070]) ).

thf(1102,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK69_E = sK70_E )
      = $false )
    | ( ( relatedInternalConcept_THFTYPE_IiioI @ sK69_E @ sK70_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1070]) ).

thf(1103,plain,
    ( ( ( sK71_E = sK72_E )
      = $true )
    | ( ( lessThan_THFTYPE_IiioI @ sK71_E @ sK72_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1069]) ).

thf(1104,plain,
    ( ( ( sK71_E = sK72_E )
      = $false )
    | ( ( lessThan_THFTYPE_IiioI @ sK71_E @ sK72_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1069]) ).

thf(1105,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK73_E = sK74_E )
      = $true )
    | ( ( attribute_THFTYPE_IiioI @ sK73_E @ sK74_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1068]) ).

thf(1106,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK73_E = sK74_E )
      = $false )
    | ( ( attribute_THFTYPE_IiioI @ sK73_E @ sK74_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1068]) ).

thf(1107,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK75_E = sK76_E )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ sK75_E @ sK76_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1066]) ).

thf(1108,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK75_E = sK76_E )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ sK75_E @ sK76_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1066]) ).

thf(1109,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lPartialOrderingRelation_THFTYPE_i )
      = $false )
    | ( ( sK77_E = sK78_E )
      = $true )
    | ( ( temporalPart_THFTYPE_IiioI @ sK77_E @ sK78_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1064]) ).

thf(1110,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lPartialOrderingRelation_THFTYPE_i )
      = $false )
    | ( ( sK77_E = sK78_E )
      = $false )
    | ( ( temporalPart_THFTYPE_IiioI @ sK77_E @ sK78_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1064]) ).

thf(1111,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK79_E = sK80_E )
      = $true )
    | ( ( inList_THFTYPE_IiioI @ sK79_E @ sK80_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1063]) ).

thf(1112,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK79_E = sK80_E )
      = $false )
    | ( ( inList_THFTYPE_IiioI @ sK79_E @ sK80_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1063]) ).

thf(1113,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK81_E = sK82_E )
      = $true )
    | ( ( duration_THFTYPE_IiioI @ sK81_E @ sK82_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1062]) ).

thf(1114,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK81_E = sK82_E )
      = $false )
    | ( ( duration_THFTYPE_IiioI @ sK81_E @ sK82_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1062]) ).

thf(1115,plain,
    ( ( ( sK83_E = sK84_E )
      = $true )
    | ( ( wife_THFTYPE_IiioI @ sK83_E @ sK84_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1060]) ).

thf(1116,plain,
    ( ( ( sK83_E = sK84_E )
      = $false )
    | ( ( wife_THFTYPE_IiioI @ sK83_E @ sK84_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1060]) ).

thf(1117,plain,
    ( ( ( sK85_E = sK86_E )
      = $true )
    | ( ( attribute_THFTYPE_IiioI @ sK85_E @ sK86_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1059]) ).

thf(1118,plain,
    ( ( ( sK85_E = sK86_E )
      = $false )
    | ( ( attribute_THFTYPE_IiioI @ sK85_E @ sK86_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1059]) ).

thf(1119,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK87_E = sK88_E )
      = $true )
    | ( ( temporalPart_THFTYPE_IiioI @ sK87_E @ sK88_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1058]) ).

thf(1120,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK87_E = sK88_E )
      = $false )
    | ( ( temporalPart_THFTYPE_IiioI @ sK87_E @ sK88_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1058]) ).

thf(1121,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK89_E = sK90_E )
      = $true )
    | ( ( inList_THFTYPE_IiioI @ sK89_E @ sK90_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1057]) ).

thf(1122,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK89_E = sK90_E )
      = $false )
    | ( ( inList_THFTYPE_IiioI @ sK89_E @ sK90_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1057]) ).

thf(1123,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK91_E = sK92_E )
      = $true )
    | ( ( temporalPart_THFTYPE_IiioI @ sK91_E @ sK92_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1055]) ).

thf(1124,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK91_E = sK92_E )
      = $false )
    | ( ( temporalPart_THFTYPE_IiioI @ sK91_E @ sK92_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1055]) ).

thf(1125,plain,
    ( ( ( sK93_E = sK94_E )
      = $true )
    | ( ( disjointRelation_THFTYPE_IiioI @ sK93_E @ sK94_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1054]) ).

thf(1126,plain,
    ( ( ( sK93_E = sK94_E )
      = $false )
    | ( ( disjointRelation_THFTYPE_IiioI @ sK93_E @ sK94_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1054]) ).

thf(1127,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK95_E = sK96_E )
      = $true )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK95_E @ sK96_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1053]) ).

thf(1128,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK95_E = sK96_E )
      = $false )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK95_E @ sK96_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1053]) ).

thf(1129,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK97_E = sK98_E )
      = $true )
    | ( ( subclass_THFTYPE_IiioI @ sK97_E @ sK98_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1052]) ).

thf(1130,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK97_E = sK98_E )
      = $false )
    | ( ( subclass_THFTYPE_IiioI @ sK97_E @ sK98_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1052]) ).

thf(1131,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK99_E = sK100_E )
      = $true )
    | ( ( rangeSubclass_THFTYPE_IiioI @ sK99_E @ sK100_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1050]) ).

thf(1132,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK99_E = sK100_E )
      = $false )
    | ( ( rangeSubclass_THFTYPE_IiioI @ sK99_E @ sK100_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1050]) ).

thf(1133,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK101_E = sK102_E )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ sK101_E @ sK102_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1049]) ).

thf(1134,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK101_E = sK102_E )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ sK101_E @ sK102_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1049]) ).

thf(1135,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK103_E = sK104_E )
      = $true )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK103_E @ sK104_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1048]) ).

thf(1136,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK103_E = sK104_E )
      = $false )
    | ( ( meetsTemporally_THFTYPE_IiioI @ sK103_E @ sK104_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1048]) ).

thf(1137,plain,
    ( ( ( sK105_E = sK106_E )
      = $true )
    | ( ( greaterThan_THFTYPE_IiioI @ sK105_E @ sK106_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1047]) ).

thf(1138,plain,
    ( ( ( sK105_E = sK106_E )
      = $false )
    | ( ( greaterThan_THFTYPE_IiioI @ sK105_E @ sK106_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1047]) ).

thf(1139,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK107_E = sK108_E )
      = $true )
    | ( ( subrelation_THFTYPE_IiioI @ sK107_E @ sK108_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1046]) ).

thf(1140,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK107_E = sK108_E )
      = $false )
    | ( ( subrelation_THFTYPE_IiioI @ sK107_E @ sK108_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1046]) ).

thf(1141,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK109_E = sK110_E )
      = $true )
    | ( ( instance_THFTYPE_IiioI @ sK109_E @ sK110_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1044]) ).

thf(1142,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK109_E = sK110_E )
      = $false )
    | ( ( instance_THFTYPE_IiioI @ sK109_E @ sK110_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1044]) ).

thf(1143,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK111_E = sK112_E )
      = $true )
    | ( ( range_THFTYPE_IiioI @ sK111_E @ sK112_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1043]) ).

thf(1144,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK111_E = sK112_E )
      = $false )
    | ( ( range_THFTYPE_IiioI @ sK111_E @ sK112_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1043]) ).

thf(1145,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK113_E = sK114_E )
      = $true )
    | ( ( rangeSubclass_THFTYPE_IiioI @ sK113_E @ sK114_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1042]) ).

thf(1146,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK113_E = sK114_E )
      = $false )
    | ( ( rangeSubclass_THFTYPE_IiioI @ sK113_E @ sK114_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1042]) ).

thf(1147,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK115_E = sK116_E )
      = $true )
    | ( ( disjoint_THFTYPE_IiioI @ sK115_E @ sK116_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1041]) ).

thf(1148,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK115_E = sK116_E )
      = $false )
    | ( ( disjoint_THFTYPE_IiioI @ sK115_E @ sK116_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1041]) ).

thf(1149,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK117_E = sK118_E )
      = $true )
    | ( ( before_THFTYPE_IiioI @ sK117_E @ sK118_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1040]) ).

thf(1150,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false )
    | ( ( sK117_E = sK118_E )
      = $false )
    | ( ( before_THFTYPE_IiioI @ sK117_E @ sK118_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1040]) ).

thf(1151,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK119_E = sK120_E )
      = $true )
    | ( ( subProcess_THFTYPE_IiioI @ sK119_E @ sK120_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1038]) ).

thf(1152,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK119_E = sK120_E )
      = $false )
    | ( ( subProcess_THFTYPE_IiioI @ sK119_E @ sK120_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1038]) ).

thf(1153,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK121_E = sK122_E )
      = $true )
    | ( ( greaterThan_THFTYPE_IiioI @ sK121_E @ sK122_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1037]) ).

thf(1154,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK121_E = sK122_E )
      = $false )
    | ( ( greaterThan_THFTYPE_IiioI @ sK121_E @ sK122_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1037]) ).

thf(1155,plain,
    ( ( ( sK123_E = sK124_E )
      = $true )
    | ( ( inList_THFTYPE_IiioI @ sK123_E @ sK124_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1035]) ).

thf(1156,plain,
    ( ( ( sK123_E = sK124_E )
      = $false )
    | ( ( inList_THFTYPE_IiioI @ sK123_E @ sK124_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1035]) ).

thf(1157,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK125_E = sK126_E )
      = $true )
    | ( ( duration_THFTYPE_IiioI @ sK125_E @ sK126_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1034]) ).

thf(1158,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK125_E = sK126_E )
      = $false )
    | ( ( duration_THFTYPE_IiioI @ sK125_E @ sK126_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1034]) ).

thf(1159,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK127_E = sK128_E )
      = $true )
    | ( ( wife_THFTYPE_IiioI @ sK127_E @ sK128_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1033]) ).

thf(1160,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false )
    | ( ( sK127_E = sK128_E )
      = $false )
    | ( ( wife_THFTYPE_IiioI @ sK127_E @ sK128_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1033]) ).

thf(1161,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK129_E = sK130_E )
      = $true )
    | ( ( subAttribute_THFTYPE_IiioI @ sK129_E @ sK130_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1032]) ).

thf(1162,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK129_E = sK130_E )
      = $false )
    | ( ( subAttribute_THFTYPE_IiioI @ sK129_E @ sK130_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1032]) ).

thf(1163,plain,
    ( ( ( sK131_E = sK132_E )
      = $true )
    | ( ( before_THFTYPE_IiioI @ sK131_E @ sK132_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1031]) ).

thf(1164,plain,
    ( ( ( sK131_E = sK132_E )
      = $false )
    | ( ( before_THFTYPE_IiioI @ sK131_E @ sK132_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1031]) ).

thf(1165,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK133_E = sK134_E )
      = $true )
    | ( ( disjointRelation_THFTYPE_IiioI @ sK133_E @ sK134_E )
      = $true ) ),
    inference(extuni,[status(esa)],[1030]) ).

thf(1166,plain,
    ( ( ( lIrreflexiveRelation_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false )
    | ( ( sK133_E = sK134_E )
      = $false )
    | ( ( disjointRelation_THFTYPE_IiioI @ sK133_E @ sK134_E )
      = $false ) ),
    inference(extuni,[status(esa)],[1030]) ).

thf(1173,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[381,1166,1165,1164,1163,1162,1161,1160,1159,1158,1157,1156,1155,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,1137,1136,1135,1134,1133,1132,1131,1130,1129,1128,1127,1126,1125,1124,1123,1122,1121,1120,1119,1118,1117,1116,1115,1114,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1026,1025,1022,1021,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,926,925,924,923,922,918,917,915,911,910,909,905,903,901,900,899,898,897,895,890,889,888,887,885,883,881,880,879,878,877,876,875,872,871,870,869,868,867,822,821,820,819,818,817,814,813,812,811,810,809,786,785,784,783,782,781,778,777,776,775,774,773,770,769,768,767,766,765,641,636,631,616,591,574,571,570,569,568,564,561,559,556,547,546,532,531,530,513,510,509,508,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,394,391,390,389,388,387,386,385,384,382]) ).

thf(1174,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.17  % Computer : n015.cluster.edu
% 0.12/0.17  % Model    : x86_64 x86_64
% 0.12/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17  % Memory   : 8046.5625MB
% 0.12/0.17  % OS       : Linux 6.8.0-71-generic
% 0.12/0.17  % CPULimit : 300
% 0.12/0.17  % WCLimit  : 300
% 0.12/0.17  % DateTime : Tue Oct  6 18:59:13 UTC 2026
% 0.12/0.17  % CPUTime  : 
% 0.12/0.17  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 197.08/39.62  .
% 197.08/39.62  
% 197.08/39.62   No.of.Axioms: 297
% 197.08/39.62  
% 197.08/39.62   Length.of.Defs: 0
% 197.08/39.62  
% 197.08/39.62   Contains.Choice.Funs: false
% 197.08/39.62  ..................................................eprover: CPU time limit exceeded, terminating
% 197.08/39.62  eprover: CPU time limit exceeded, terminating
% 197.08/39.62  ......................................
% 197.08/39.62  
% 197.08/39.62  ********************************
% 197.08/39.62  *   All subproblems solved!    *
% 197.08/39.62  ********************************
% 197.08/39.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:68,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1173,loop_count:65,foatp_calls:4,translation:fof_experiment)
% 197.08/39.62  
% 197.08/39.62  %**** Beginning of derivation protocol ****
% 197.08/39.62  % SZS output start CNFRefutation
% See solution above
% 197.08/39.63  
% 197.08/39.63  %**** End of derivation protocol ****
% 197.08/39.63  %**** no. of clauses in derivation: 752 ****
% 197.08/39.63  %**** clause counter: 1173 ****
% 197.08/39.63  
% 197.08/39.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:68,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1173,loop_count:65,foatp_calls:4,translation:fof_experiment)
%------------------------------------------------------------------------------