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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR132^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 10:16:08 AM UTC 2026

% Result   : Theorem 25.66s 4.42s
% Output   : CNFRefutation 25.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :   28
% Syntax   : Number of formulae    : 2612 ( 117 unt;   0 typ;   0 def)
%            Number of atoms       : 30239 (12945 equ;   0 cnn)
%            Maximal formula atoms :    7 (  11 avg)
%            Number of connectives : 35096 (7766   ~;8717   |;  20   &;18589   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 7752 (7752   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  282 ( 279 usr;  76 con; 0-3 aty)
%            Number of variables   : 14738 (3169   ^;11545   !;  24   ?;14738   :)

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

thf(tp_agent_THFTYPE_IiioI,type,
    agent_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_attribute_THFTYPE_i,type,
    attribute_THFTYPE_i: $i ).

thf(tp_believes_THFTYPE_IiooI,type,
    believes_THFTYPE_IiooI: $i > $o > $o ).

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

thf(tp_disjointDecomposition_THFTYPE_IiioI,type,
    disjointDecomposition_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_disjointDecomposition_THFTYPE_IioI,type,
    disjointDecomposition_THFTYPE_IioI: $i > $o ).

thf(tp_disjointRelation_THFTYPE_IiIiioIoI,type,
    disjointRelation_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $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_IIioIiioI,type,
    domainSubclass_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).

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

thf(tp_domain_THFTYPE_IIIioIiioIiioI,type,
    domain_THFTYPE_IIIioIiioIiioI: ( ( $i > $o ) > $i > $i > $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_IIioIiioI,type,
    domain_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiooIiioI,type,
    domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).

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

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

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

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

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

thf(tp_instance_THFTYPE_IIIioIiioIioI,type,
    instance_THFTYPE_IIIioIiioIioI: ( ( $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiIiioIoIioI,type,
    instance_THFTYPE_IIiIiioIoIioI: ( $i > ( $i > $i > $o ) > $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_IiioI,type,
    instrument_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_knows_THFTYPE_IiooI,type,
    knows_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_lAgent_THFTYPE_i,type,
    lAgent_THFTYPE_i: $i ).

thf(tp_lAnna_THFTYPE_i,type,
    lAnna_THFTYPE_i: $i ).

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

thf(tp_lAttribute_THFTYPE_i,type,
    lAttribute_THFTYPE_i: $i ).

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

thf(tp_lBen_THFTYPE_i,type,
    lBen_THFTYPE_i: $i ).

thf(tp_lBill_THFTYPE_i,type,
    lBill_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_lBob_THFTYPE_i,type,
    lBob_THFTYPE_i: $i ).

thf(tp_lClass_THFTYPE_i,type,
    lClass_THFTYPE_i: $i ).

thf(tp_lCognitiveAgent_THFTYPE_i,type,
    lCognitiveAgent_THFTYPE_i: $i ).

thf(tp_lContentBearingObject_THFTYPE_i,type,
    lContentBearingObject_THFTYPE_i: $i ).

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

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

thf(tp_lFormula_THFTYPE_i,type,
    lFormula_THFTYPE_i: $i ).

thf(tp_lHumanLanguage_THFTYPE_i,type,
    lHumanLanguage_THFTYPE_i: $i ).

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

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

thf(tp_lIntentionalProcess_THFTYPE_i,type,
    lIntentionalProcess_THFTYPE_i: $i ).

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

thf(tp_lKappaFn_THFTYPE_i,type,
    lKappaFn_THFTYPE_i: $i ).

thf(tp_lLanguage_THFTYPE_i,type,
    lLanguage_THFTYPE_i: $i ).

thf(tp_lLinguisticExpression_THFTYPE_i,type,
    lLinguisticExpression_THFTYPE_i: $i ).

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

thf(tp_lListFn_THFTYPE_i,type,
    lListFn_THFTYPE_i: $i ).

thf(tp_lListOrderFn_THFTYPE_IiiiI,type,
    lListOrderFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lListOrderFn_THFTYPE_i,type,
    lListOrderFn_THFTYPE_i: $i ).

thf(tp_lList_THFTYPE_i,type,
    lList_THFTYPE_i: $i ).

thf(tp_lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

thf(tp_lMeasureFn_THFTYPE_i,type,
    lMeasureFn_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_lOrganization_THFTYPE_i,type,
    lOrganization_THFTYPE_i: $i ).

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

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

thf(tp_lSelfConnectedObject_THFTYPE_i,type,
    lSelfConnectedObject_THFTYPE_i: $i ).

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

thf(tp_lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

thf(tp_lSymbolicString_THFTYPE_i,type,
    lSymbolicString_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_lText_THFTYPE_i,type,
    lText_THFTYPE_i: $i ).

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

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

thf(tp_lUnaryFunction_THFTYPE_i,type,
    lUnaryFunction_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_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(tp_likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

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

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

thf(tp_member_THFTYPE_IiioI,type,
    member_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_modalAttribute_THFTYPE_i,type,
    modalAttribute_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_i,type,
    partition_THFTYPE_i: $i ).

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

thf(tp_property_THFTYPE_IiioI,type,
    property_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_relatedExternalConcept_THFTYPE_i,type,
    relatedExternalConcept_THFTYPE_i: $i ).

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

thf(tp_relatedInternalConcept_THFTYPE_IIioIIiioIoI,type,
    relatedInternalConcept_THFTYPE_IIioIIiioIoI: ( $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiIiioIoI,type,
    relatedInternalConcept_THFTYPE_IiIiioIoI: $i > ( $i > $i > $o ) > $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_SX0,type,
    sK100_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK101_SX0,type,
    sK101_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK102_SY110,type,
    sK102_SY110: ( $i > $i > $o ) > $i ).

thf(tp_sK103_SY111,type,
    sK103_SY111: ( $i > $i > $o ) > $i ).

thf(tp_sK104_SY112,type,
    sK104_SY112: ( $i > $i > $o ) > $i ).

thf(tp_sK105_SY113,type,
    sK105_SY113: ( $i > $i > $o ) > $i ).

thf(tp_sK106_SY114,type,
    sK106_SY114: ( $i > $i > $o ) > $i ).

thf(tp_sK107_SY115,type,
    sK107_SY115: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK108_SY116,type,
    sK108_SY116: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK109_SX0,type,
    sK109_SX0: ( $i > $i > $o ) > $i ).

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

thf(tp_sK110_SX0,type,
    sK110_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK111_SY117,type,
    sK111_SY117: ( $i > $i > $o ) > $i ).

thf(tp_sK112_SX0,type,
    sK112_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK113_SY118,type,
    sK113_SY118: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK114_SY119,type,
    sK114_SY119: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK115_SX0,type,
    sK115_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK116_SX0,type,
    sK116_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK117_SY120,type,
    sK117_SY120: ( $i > $i > $o ) > $i ).

thf(tp_sK118_SX0,type,
    sK118_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK119_SY121,type,
    sK119_SY121: ( $i > $i > $o ) > $i ).

thf(tp_sK11_SV16,type,
    sK11_SV16: ( $i > $i > $o ) > $i ).

thf(tp_sK120_SX0,type,
    sK120_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK121_SY122,type,
    sK121_SY122: ( $i > $i > $o ) > $i ).

thf(tp_sK122_SY123,type,
    sK122_SY123: ( $i > $i > $o ) > $i ).

thf(tp_sK123_SY125,type,
    sK123_SY125: ( $i > $i > $o ) > $i ).

thf(tp_sK124_SX0,type,
    sK124_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK125_SY126,type,
    sK125_SY126: ( $i > $i > $o ) > $i ).

thf(tp_sK126_SY127,type,
    sK126_SY127: ( $i > $i > $o ) > $i ).

thf(tp_sK127_SX0,type,
    sK127_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK128_SX0,type,
    sK128_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK129_SX0,type,
    sK129_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK12_SX0,type,
    sK12_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK130_SY148,type,
    sK130_SY148: ( $i > $i > $o ) > $i ).

thf(tp_sK131_SY149,type,
    sK131_SY149: ( $i > $i > $o ) > $i ).

thf(tp_sK132_SX0,type,
    sK132_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK133_SY150,type,
    sK133_SY150: ( $i > $i > $o ) > $i ).

thf(tp_sK134_SX0,type,
    sK134_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK135_SY152,type,
    sK135_SY152: ( $i > $i > $o ) > $i ).

thf(tp_sK136_SY153,type,
    sK136_SY153: ( $i > $i > $o ) > $i ).

thf(tp_sK137_SX0,type,
    sK137_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK138_SY154,type,
    sK138_SY154: ( $i > $i > $o ) > $i ).

thf(tp_sK139_SY155,type,
    sK139_SY155: ( $i > $i > $o ) > $i ).

thf(tp_sK13_SV17,type,
    sK13_SV17: ( $i > $i > $o ) > $i ).

thf(tp_sK140_SY157,type,
    sK140_SY157: ( $i > $i > $o ) > $i ).

thf(tp_sK141_SX0,type,
    sK141_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK142_SY167,type,
    sK142_SY167: ( $i > $i > $o ) > $i ).

thf(tp_sK143_SX0,type,
    sK143_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK144_SY171,type,
    sK144_SY171: ( $i > $i > $o ) > $i ).

thf(tp_sK145_SY182,type,
    sK145_SY182: ( $i > $i > $o ) > $i ).

thf(tp_sK146_SY183,type,
    sK146_SY183: ( $i > $i > $o ) > $i ).

thf(tp_sK147_SY186,type,
    sK147_SY186: ( $i > $i > $o ) > $i ).

thf(tp_sK148_SY187,type,
    sK148_SY187: ( $i > $i > $o ) > $i ).

thf(tp_sK149_SY214,type,
    sK149_SY214: ( $i > $i > $o ) > $i ).

thf(tp_sK14_SX0,type,
    sK14_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK150_SY217,type,
    sK150_SY217: ( $i > $i > $o ) > $i ).

thf(tp_sK151_SX0,type,
    sK151_SX0: $o > $i ).

thf(tp_sK152_SX0,type,
    sK152_SX0: $o > $i ).

thf(tp_sK153_SY516,type,
    sK153_SY516: $o > $i ).

thf(tp_sK154_SY518,type,
    sK154_SY518: $o > $i ).

thf(tp_sK155_SX0,type,
    sK155_SX0: $i ).

thf(tp_sK156_SX0,type,
    sK156_SX0: $i ).

thf(tp_sK157_SX0,type,
    sK157_SX0: $i ).

thf(tp_sK158_SX0,type,
    sK158_SX0: $i ).

thf(tp_sK159_SY519,type,
    sK159_SY519: $i ).

thf(tp_sK15_SV18,type,
    sK15_SV18: ( $i > $i > $o ) > $i ).

thf(tp_sK160_SY521,type,
    sK160_SY521: $i ).

thf(tp_sK161_SY524,type,
    sK161_SY524: $i ).

thf(tp_sK162_SY526,type,
    sK162_SY526: $i ).

thf(tp_sK16_SV19,type,
    sK16_SV19: ( $i > $i > $o ) > $i ).

thf(tp_sK17_SV20,type,
    sK17_SV20: ( $i > $i > $o ) > $i ).

thf(tp_sK18_SV21,type,
    sK18_SV21: ( $i > $i > $o ) > $i ).

thf(tp_sK19_SV22,type,
    sK19_SV22: ( $i > $i > $o ) > $i ).

thf(tp_sK1_E,type,
    sK1_E: $i ).

thf(tp_sK20_SV23,type,
    sK20_SV23: ( $i > $i > $o ) > $i ).

thf(tp_sK21_SV24,type,
    sK21_SV24: ( $i > $i > $o ) > $i ).

thf(tp_sK22_SV25,type,
    sK22_SV25: ( $i > $i > $o ) > $i ).

thf(tp_sK23_SV26,type,
    sK23_SV26: ( $i > $i > $o ) > $i ).

thf(tp_sK24_SX0,type,
    sK24_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK25_SV27,type,
    sK25_SV27: ( $i > $i > $o ) > $i ).

thf(tp_sK26_SX0,type,
    sK26_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK27_SX0,type,
    sK27_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK28_SV28,type,
    sK28_SV28: ( $i > $i > $o ) > $i ).

thf(tp_sK29_SX0,type,
    sK29_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK2_E,type,
    sK2_E: $i ).

thf(tp_sK30_SV29,type,
    sK30_SV29: ( $i > $i > $o ) > $i ).

thf(tp_sK31_SV30,type,
    sK31_SV30: ( $i > $i > $o ) > $i ).

thf(tp_sK32_SV31,type,
    sK32_SV31: ( $i > $i > $o ) > $i ).

thf(tp_sK33_SV32,type,
    sK33_SV32: ( $i > $i > $o ) > $i ).

thf(tp_sK34_SV33,type,
    sK34_SV33: ( $i > $i > $o ) > $i ).

thf(tp_sK35_SV34,type,
    sK35_SV34: ( $i > $i > $o ) > $i ).

thf(tp_sK36_SV35,type,
    sK36_SV35: ( $i > $i > $o ) > $i ).

thf(tp_sK37_SV36,type,
    sK37_SV36: ( $i > $i > $o ) > $i ).

thf(tp_sK38_SV37,type,
    sK38_SV37: ( $i > $i > $o ) > $i ).

thf(tp_sK39_SX0,type,
    sK39_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK3_E,type,
    sK3_E: $i ).

thf(tp_sK40_SY62,type,
    sK40_SY62: ( $i > $i > $o ) > $i ).

thf(tp_sK41_SV38,type,
    sK41_SV38: ( $i > $i > $o ) > $i ).

thf(tp_sK42_SV39,type,
    sK42_SV39: ( $i > $i > $o ) > $i ).

thf(tp_sK43_SX0,type,
    sK43_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK44_SY65,type,
    sK44_SY65: ( $i > $i > $o ) > $i ).

thf(tp_sK45_SV40,type,
    sK45_SV40: ( $i > $i > $o ) > $i ).

thf(tp_sK46_SV41,type,
    sK46_SV41: ( $i > $i > $o ) > $i ).

thf(tp_sK47_SV42,type,
    sK47_SV42: ( $i > $i > $o ) > $i ).

thf(tp_sK48_SV43,type,
    sK48_SV43: ( $i > $i > $o ) > $i ).

thf(tp_sK49_SV44,type,
    sK49_SV44: ( $i > $i > $o ) > $i ).

thf(tp_sK4_E,type,
    sK4_E: $i ).

thf(tp_sK50_SV45,type,
    sK50_SV45: ( $i > $i > $o ) > $i ).

thf(tp_sK51_SV46,type,
    sK51_SV46: ( $i > $i > $o ) > $i ).

thf(tp_sK52_SV47,type,
    sK52_SV47: ( $i > $i > $o ) > $i ).

thf(tp_sK53_SX0,type,
    sK53_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK54_SX0,type,
    sK54_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK55_SX0,type,
    sK55_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK56_SX0,type,
    sK56_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK57_SV48,type,
    sK57_SV48: ( $i > $i > $o ) > $i ).

thf(tp_sK58_SX0,type,
    sK58_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK59_SX0,type,
    sK59_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK5_E,type,
    sK5_E: $i ).

thf(tp_sK60_SX0,type,
    sK60_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK61_SX0,type,
    sK61_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK62_SX0,type,
    sK62_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK63_SY75,type,
    sK63_SY75: ( $i > $i > $o ) > $i ).

thf(tp_sK64_SV49,type,
    sK64_SV49: ( $i > $i > $o ) > $i ).

thf(tp_sK65_SX0,type,
    sK65_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK66_SY77,type,
    sK66_SY77: ( $i > $i > $o ) > $i ).

thf(tp_sK67_SX0,type,
    sK67_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK68_SY78,type,
    sK68_SY78: ( $i > $i > $o ) > $i ).

thf(tp_sK69_SV50,type,
    sK69_SV50: ( $i > $i > $o ) > $i ).

thf(tp_sK6_E,type,
    sK6_E: $i ).

thf(tp_sK70_SX0,type,
    sK70_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK71_SY80,type,
    sK71_SY80: ( $i > $i > $o ) > $i ).

thf(tp_sK72_SV51,type,
    sK72_SV51: ( $i > $i > $o ) > $i ).

thf(tp_sK73_SV52,type,
    sK73_SV52: ( $i > $i > $o ) > $i ).

thf(tp_sK74_SV53,type,
    sK74_SV53: ( $i > $i > $o ) > $i ).

thf(tp_sK75_SV54,type,
    sK75_SV54: ( $i > $i > $o ) > $i ).

thf(tp_sK76_SV55,type,
    sK76_SV55: ( $i > $i > $o ) > $i ).

thf(tp_sK77_SV56,type,
    sK77_SV56: ( $i > $i > $o ) > $i ).

thf(tp_sK78_SV57,type,
    sK78_SV57: ( $i > $i > $o ) > $i ).

thf(tp_sK79_SX0,type,
    sK79_SX0: $i > ( $i > $i > $o ) > $i ).

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

thf(tp_sK80_SX0,type,
    sK80_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK81_SV58,type,
    sK81_SV58: ( $i > $i > $o ) > $i ).

thf(tp_sK82_SX0,type,
    sK82_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK83_SY90,type,
    sK83_SY90: ( $i > $i > $o ) > $i ).

thf(tp_sK84_SX0,type,
    sK84_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK85_SX0,type,
    sK85_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK86_SV59,type,
    sK86_SV59: ( $i > $i > $o ) > $i ).

thf(tp_sK87_SX0,type,
    sK87_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK88_SY93,type,
    sK88_SY93: ( $i > $i > $o ) > $i ).

thf(tp_sK89_SX0,type,
    sK89_SX0: ( $i > $i > $o ) > $i ).

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

thf(tp_sK90_SY102,type,
    sK90_SY102: ( $i > $i > $o ) > $i ).

thf(tp_sK91_SY103,type,
    sK91_SY103: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK92_SY104,type,
    sK92_SY104: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK93_SX0,type,
    sK93_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK94_SX0,type,
    sK94_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK95_SY105,type,
    sK95_SY105: ( $i > $i > $o ) > $i ).

thf(tp_sK96_SX0,type,
    sK96_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK97_SY107,type,
    sK97_SY107: ( $i > $i > $o ) > $i ).

thf(tp_sK98_SY108,type,
    sK98_SY108: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK99_SY109,type,
    sK99_SY109: ( $i > $i > $o ) > $i > $i ).

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

thf(tp_subrelation_THFTYPE_IiIiioIoI,type,
    subrelation_THFTYPE_IiIiioIoI: $i > ( $i > $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_truth_THFTYPE_IoooI,type,
    truth_THFTYPE_IoooI: $o > $o > $o ).

thf(1,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_216) ).

thf(16,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_201) ).

thf(32,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_185) ).

thf(35,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_182) ).

thf(37,axiom,
    instance_THFTYPE_IIiooIioI @ believes_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_180) ).

thf(40,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_177) ).

thf(50,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_167) ).

thf(61,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_156) ).

thf(73,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_144) ).

thf(76,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_141) ).

thf(82,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_135) ).

thf(92,axiom,
    instance_THFTYPE_IIiooIioI @ knows_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_125) ).

thf(105,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_112) ).

thf(109,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_108) ).

thf(111,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_106) ).

thf(128,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_089) ).

thf(137,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_080) ).

thf(155,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_062) ).

thf(164,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X: $i,Y: $i] :
        ~ ( likes_THFTYPE_IiioI @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_053) ).

thf(169,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_048) ).

thf(179,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/sandbox/benchmark/theBenchmark.p',ax_038) ).

thf(183,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).

thf(189,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X: $i,Y: $i] :
        ~ ( parent_THFTYPE_IiioI @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_028) ).

thf(200,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_017) ).

thf(209,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).

thf(214,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(217,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(218,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R @ Y @ lBill_THFTYPE_i )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ( R
         != ( ^ [Z: $i,W: $i] : $true ) )
        & ( Q
         != ( ^ [Z: $i,W: $i] : $true ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(219,negated_conjecture,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ( R
             != ( ^ [Z: $i,W: $i] : $true ) )
            & ( Q
             != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[218]) ).

thf(220,plain,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ( R
             != ( ^ [Z: $i,W: $i] : $true ) )
            & ( Q
             != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(221,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(222,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(223,plain,
    ( ( instance_THFTYPE_IIiooIioI @ believes_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(224,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(225,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(226,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(227,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(228,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(229,plain,
    ( ( instance_THFTYPE_IIiooIioI @ knows_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(230,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(231,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(232,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(233,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(234,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(235,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(236,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(237,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(238,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[111]) ).

thf(239,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(240,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( likes_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(243,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(244,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)],[179]) ).

thf(245,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(246,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( parent_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(249,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(251,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(253,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(254,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[220]) ).

thf(255,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[254]) ).

thf(256,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)],[244]) ).

thf(257,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[245]) ).

thf(258,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[253]) ).

thf(260,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[251]) ).

thf(262,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[249]) ).

thf(265,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( parent_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[246]) ).

thf(266,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[257]) ).

thf(267,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)],[256]) ).

thf(268,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[243]) ).

thf(271,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( likes_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[240]) ).

thf(272,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[239]) ).

thf(273,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[238]) ).

thf(274,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[237]) ).

thf(275,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[236]) ).

thf(276,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[235]) ).

thf(277,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[234]) ).

thf(278,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[233]) ).

thf(279,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[232]) ).

thf(280,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[231]) ).

thf(281,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[230]) ).

thf(282,plain,
    ( ( instance_THFTYPE_IIiooIioI @ knows_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[229]) ).

thf(283,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[228]) ).

thf(284,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[227]) ).

thf(285,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[226]) ).

thf(286,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[225]) ).

thf(287,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[224]) ).

thf(288,plain,
    ( ( instance_THFTYPE_IIiooIioI @ believes_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[223]) ).

thf(289,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[222]) ).

thf(290,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[221]) ).

thf(291,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[255]) ).

thf(292,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(293,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(295,plain,
    ( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o,SX2: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                            | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                      | ~ ( ( SX1
                           != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                | ~ ( ( SX0
                     != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(297,plain,
    ! [SV1: $i] :
      ( ( ! [SY20: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SY20 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SY20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(298,plain,
    ! [SV2: $o] :
      ( ( ! [SY21: $i] :
            ( ! [SY22: $i] :
                ( ~ ( holdsDuring_THFTYPE_IiooI @ SY22 @ SV2 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SY21 @ SY22 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY21 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[267]) ).

thf(299,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)],[267]) ).

thf(300,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)],[267]) ).

thf(301,plain,
    ! [SV3: $i > $i > $o] :
      ( ( ! [SY23: $i > $i > $o,SY24: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY23 @ SY24 @ lBill_THFTYPE_i )
                              | ~ ( SV3 @ SY24 @ lAnna_THFTYPE_i ) )
                        | ~ ( ( SY23
                             != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                  | ~ ( ( SV3
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(302,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[297]) ).

thf(303,plain,
    ! [SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[297]) ).

thf(304,plain,
    ! [SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[297]) ).

thf(305,plain,
    ! [SV5: $i,SV2: $o] :
      ( ( ! [SY29: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY29 @ SV2 )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SY29 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(306,plain,
    ! [SV6: $i] :
      ( ( ! [SY30: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY30 @ $true )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SY30 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(307,plain,
    ! [SV7: $i] :
      ( ( ! [SY31: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY31 @ $false )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY31 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(308,plain,
    ! [SV3: $i > $i > $o,SV8: $i > $i > $o] :
      ( ( ! [SY32: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV8 @ SY32 @ lBill_THFTYPE_i )
                              | ~ ( SV3 @ SY32 @ lAnna_THFTYPE_i ) )
                        | ~ ( ( SV8
                             != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                  | ~ ( ( SV3
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(309,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(310,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(311,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(312,plain,
    ! [SV5: $i,SV2: $o] :
      ( ( ( ! [SY29: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY29 @ SV2 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SY29 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[305]) ).

thf(313,plain,
    ! [SV6: $i] :
      ( ( ( ! [SY30: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY30 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SY30 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[306]) ).

thf(314,plain,
    ! [SV7: $i] :
      ( ( ( ! [SY31: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY31 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY31 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[307]) ).

thf(315,plain,
    ! [SV3: $i > $i > $o,SV9: $i,SV8: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV8 @ SV9 @ lBill_THFTYPE_i )
                            | ~ ( SV3 @ SV9 @ lAnna_THFTYPE_i ) )
                      | ~ ( ( SV8
                           != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                | ~ ( ( SV3
                     != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(316,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(317,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(318,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(319,plain,
    ! [SV5: $i,SV2: $o,SV10: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ SV2 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(320,plain,
    ! [SV6: $i,SV11: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(321,plain,
    ! [SV7: $i,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(322,plain,
    ! [SV3: $i > $i > $o,SV9: $i,SV8: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV8 @ SV9 @ lBill_THFTYPE_i )
                        | ~ ( SV3 @ SV9 @ lAnna_THFTYPE_i ) )
                  | ~ ( ( SV8
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
            | ~ ( ( SV3
                 != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(323,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(324,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[317]) ).

thf(325,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[318]) ).

thf(326,plain,
    ! [SV5: $i,SV2: $o,SV10: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ SV2 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(327,plain,
    ! [SV6: $i,SV11: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(328,plain,
    ! [SV7: $i,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(329,plain,
    ! [SV5: $i,SV2: $o,SV10: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ SV2 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(330,plain,
    ! [SV6: $i,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(331,plain,
    ! [SV7: $i,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(332,plain,
    ! [SV2: $o,SV10: $i,SV5: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ SV2 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(333,plain,
    ! [SV11: $i,SV6: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV6 @ SV11 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[330]) ).

thf(334,plain,
    ! [SV12: $i,SV7: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV7 @ SV12 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(335,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[323]) ).

thf(336,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[324]) ).

thf(337,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[325]) ).

thf(338,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[335]) ).

thf(340,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[336]) ).

thf(342,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[337]) ).

thf(345,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[338]) ).

thf(347,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[340]) ).

thf(349,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[342]) ).

thf(351,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(353,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[347]) ).

thf(355,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(357,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[351]) ).

thf(359,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[353]) ).

thf(361,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[355]) ).

thf(362,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(363,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(364,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(365,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(366,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(367,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[364]) ).

thf(376,plain,
    ! [SV4: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV4 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV4 )
        = $false ) ),
    inference(sim,[status(thm)],[365]) ).

thf(377,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[366]) ).

thf(378,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[367]) ).

thf(379,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                        | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                  | ~ ( ( SV15
                       != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
            | ~ ( ( SV13
                 != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
      = $false ),
    inference(rename,[status(thm)],[322]) ).

thf(380,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
      = $false ),
    inference(res,[status(thm)],[379,293]) ).

thf(381,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
      = $false ),
    inference(res,[status(thm)],[379,292]) ).

thf(394,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,278]) ).

thf(395,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,277]) ).

thf(400,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,272]) ).

thf(401,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,268]) ).

thf(402,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,262]) ).

thf(403,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,260]) ).

thf(404,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[379,258]) ).

thf(405,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[404]) ).

thf(406,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[404]) ).

thf(407,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[403]) ).

thf(408,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[403]) ).

thf(409,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[402]) ).

thf(410,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[402]) ).

thf(411,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[401]) ).

thf(412,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[401]) ).

thf(413,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[400]) ).

thf(414,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[400]) ).

thf(415,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[395]) ).

thf(416,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[395]) ).

thf(417,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[394]) ).

thf(418,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[394]) ).

thf(419,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[381]) ).

thf(420,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[381]) ).

thf(421,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[381]) ).

thf(422,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[381]) ).

thf(423,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[380]) ).

thf(424,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[380]) ).

thf(425,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[380]) ).

thf(426,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV15
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV13
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[380]) ).

thf(427,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(428,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[405]) ).

thf(429,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[408]) ).

thf(430,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(431,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[410]) ).

thf(432,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(433,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[412]) ).

thf(434,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(435,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(436,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(437,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[416]) ).

thf(438,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(439,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[418]) ).

thf(440,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(441,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[422]) ).

thf(442,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(443,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[420]) ).

thf(444,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[420]) ).

thf(445,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(446,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[426]) ).

thf(447,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(448,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(449,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(450,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[423]) ).

thf(451,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(452,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(453,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(454,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[429]) ).

thf(455,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(456,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(457,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[431]) ).

thf(458,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(459,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(460,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(461,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(462,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(463,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(464,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[436]) ).

thf(465,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[436]) ).

thf(466,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(467,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(468,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(469,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[439]) ).

thf(470,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[440]) ).

thf(471,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[440]) ).

thf(472,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[441]) ).

thf(473,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[442]) ).

thf(474,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[442]) ).

thf(475,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[443]) ).

thf(476,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[444]) ).

thf(477,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(478,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[446]) ).

thf(479,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV15
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(480,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(481,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[448]) ).

thf(482,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[449]) ).

thf(483,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(484,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(485,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[452]) ).

thf(486,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[453]) ).

thf(487,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(488,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[455]) ).

thf(489,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(490,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(491,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[458]) ).

thf(492,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(493,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(494,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(495,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(496,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(497,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[464]) ).

thf(498,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[465]) ).

thf(499,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(500,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[467]) ).

thf(501,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[468]) ).

thf(502,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(503,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[470]) ).

thf(504,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(505,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(506,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[473]) ).

thf(507,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(508,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(509,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(510,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(511,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(512,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV15
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(513,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(514,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(515,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(516,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(517,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(518,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(519,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(520,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[487]) ).

thf(521,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(522,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(523,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(524,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(525,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(526,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[493]) ).

thf(527,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[494]) ).

thf(528,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(529,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(530,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(531,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(532,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(533,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(534,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(535,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(536,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(537,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(538,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(539,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(540,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(541,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(542,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(543,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV16: $i] :
              ( ( SV13 @ SV16 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[509]) ).

thf(544,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[509]) ).

thf(545,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(546,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[511]) ).

thf(547,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(548,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(549,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(550,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(551,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV17: $i] :
              ( ( SV13 @ SV17 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[515]) ).

thf(552,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[515]) ).

thf(553,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(554,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[517]) ).

thf(555,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[518]) ).

thf(556,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[518]) ).

thf(557,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV18: $i] :
              ( ( SV13 @ SV18 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[519]) ).

thf(558,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[519]) ).

thf(559,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[520]) ).

thf(560,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(561,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(562,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV19: $i] :
              ( ( SV13 @ SV19 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[522]) ).

thf(563,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[522]) ).

thf(564,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(565,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[524]) ).

thf(566,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[524]) ).

thf(567,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV20: $i] :
              ( ( SV13 @ SV20 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[525]) ).

thf(568,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[525]) ).

thf(569,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[526]) ).

thf(570,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(571,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(572,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV21: $i] :
              ( ( SV13 @ SV21 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[528]) ).

thf(573,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[528]) ).

thf(574,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[529]) ).

thf(575,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(576,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(577,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV22: $i] :
              ( ( SV13 @ SV22 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[531]) ).

thf(578,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[531]) ).

thf(579,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(580,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(581,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(582,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV23: $i] :
              ( ( SV13 @ SV23 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[534]) ).

thf(583,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[534]) ).

thf(584,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[535]) ).

thf(585,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(586,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(587,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV24: $i] :
              ( ( SV13 @ SV24 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[537]) ).

thf(588,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[537]) ).

thf(589,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[538]) ).

thf(590,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[539]) ).

thf(591,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[539]) ).

thf(592,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV25: $i] :
              ( ( SV13 @ SV25 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[540]) ).

thf(593,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[540]) ).

thf(594,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(595,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(596,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[543]) ).

thf(597,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY62: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ SY62 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[544]) ).

thf(598,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(599,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[546]) ).

thf(600,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[547]) ).

thf(601,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[547]) ).

thf(602,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV26: $i] :
              ( ( SV13 @ SV26 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[548]) ).

thf(603,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[548]) ).

thf(604,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(605,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(606,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[551]) ).

thf(607,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY65: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ SY65 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[552]) ).

thf(608,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(609,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(610,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[555]) ).

thf(611,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(612,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[557]) ).

thf(613,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(614,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[560]) ).

thf(615,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[561]) ).

thf(616,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[562]) ).

thf(617,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(618,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[565]) ).

thf(619,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(620,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[567]) ).

thf(621,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(622,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[570]) ).

thf(623,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[571]) ).

thf(624,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[572]) ).

thf(625,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(626,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(627,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(628,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[577]) ).

thf(629,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(630,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(631,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(632,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[582]) ).

thf(633,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(634,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(635,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[586]) ).

thf(636,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[587]) ).

thf(637,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(638,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[590]) ).

thf(639,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[591]) ).

thf(640,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[592]) ).

thf(641,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(642,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(643,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(644,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV27: $i] :
              ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ SV27 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[596]) ).

thf(645,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[596]) ).

thf(646,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY62: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ SY62 ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[597]) ).

thf(647,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[598]) ).

thf(648,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(649,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(650,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(651,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[602]) ).

thf(652,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(653,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(654,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(655,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV28: $i] :
              ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ SV28 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[606]) ).

thf(656,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[606]) ).

thf(657,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY65: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ SY65 ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[607]) ).

thf(658,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[608]) ).

thf(659,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[609]) ).

thf(660,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(661,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(662,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV29: $i] :
              ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ SV29 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[612]) ).

thf(663,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[612]) ).

thf(664,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[613]) ).

thf(665,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(666,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(667,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV30: $i] :
              ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ SV30 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[616]) ).

thf(668,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[616]) ).

thf(669,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(670,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(671,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(672,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV31: $i] :
              ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ SV31 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[620]) ).

thf(673,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[620]) ).

thf(674,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[621]) ).

thf(675,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(676,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(677,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV32: $i] :
              ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ SV32 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[624]) ).

thf(678,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[624]) ).

thf(679,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(680,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(681,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(682,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV33: $i] :
              ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ SV33 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[628]) ).

thf(683,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[628]) ).

thf(684,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(685,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(686,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(687,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV34: $i] :
              ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ SV34 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[632]) ).

thf(688,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[632]) ).

thf(689,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[633]) ).

thf(690,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(691,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(692,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV35: $i] :
              ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ SV35 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[636]) ).

thf(693,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[636]) ).

thf(694,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[637]) ).

thf(695,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(696,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(697,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV36: $i] :
              ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ SV36 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[640]) ).

thf(698,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[640]) ).

thf(699,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY75: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ SY75 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[641]) ).

thf(700,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(701,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(702,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV37: $i] :
              ( ( SV15 @ SV37 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[643]) ).

thf(703,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[643]) ).

thf(704,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[644]) ).

thf(705,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY77: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ SY77 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[645]) ).

thf(706,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY62: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ SY62 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(707,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[647]) ).

thf(708,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[648]) ).

thf(709,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(710,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(711,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SV38: $i] :
              ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ SV38 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[651]) ).

thf(712,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[651]) ).

thf(713,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY78: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ SY78 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[652]) ).

thf(714,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(715,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(716,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV39: $i] :
              ( ( SV15 @ SV39 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[654]) ).

thf(717,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[654]) ).

thf(718,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[655]) ).

thf(719,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY80: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ SY80 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[656]) ).

thf(720,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY65: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ SY65 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(721,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[658]) ).

thf(722,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[659]) ).

thf(723,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(724,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[660]) ).

thf(725,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV40: $i] :
              ( ( SV15 @ SV40 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[661]) ).

thf(726,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[661]) ).

thf(727,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[662]) ).

thf(728,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(729,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(730,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(731,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV41: $i] :
              ( ( SV15 @ SV41 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[666]) ).

thf(732,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[666]) ).

thf(733,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[667]) ).

thf(734,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[669]) ).

thf(735,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[670]) ).

thf(736,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[670]) ).

thf(737,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV42: $i] :
              ( ( SV15 @ SV42 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[671]) ).

thf(738,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[671]) ).

thf(739,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[672]) ).

thf(740,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(741,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(742,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(743,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV43: $i] :
              ( ( SV15 @ SV43 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[676]) ).

thf(744,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[676]) ).

thf(745,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[677]) ).

thf(746,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[679]) ).

thf(747,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[680]) ).

thf(748,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[680]) ).

thf(749,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV44: $i] :
              ( ( SV15 @ SV44 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[681]) ).

thf(750,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[681]) ).

thf(751,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[682]) ).

thf(752,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(753,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(754,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(755,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV45: $i] :
              ( ( SV15 @ SV45 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[686]) ).

thf(756,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[686]) ).

thf(757,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[687]) ).

thf(758,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(759,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(760,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(761,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV46: $i] :
              ( ( SV15 @ SV46 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[691]) ).

thf(762,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[691]) ).

thf(763,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[692]) ).

thf(764,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[694]) ).

thf(765,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[695]) ).

thf(766,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[695]) ).

thf(767,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV47: $i] :
              ( ( SV15 @ SV47 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[696]) ).

thf(768,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[696]) ).

thf(769,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[697]) ).

thf(770,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(771,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY75: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ SY75 ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[699]) ).

thf(772,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(773,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(774,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[702]) ).

thf(775,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY90: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ SY90 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[703]) ).

thf(776,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[704]) ).

thf(777,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[704]) ).

thf(778,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY77: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ SY77 ) )
        = $true )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(779,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ ( sK40_SY62 @ SV13 ) ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[706]) ).

thf(780,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(781,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[708]) ).

thf(782,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[709]) ).

thf(783,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[709]) ).

thf(784,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV48: $i] :
              ( ( SV15 @ SV48 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[710]) ).

thf(785,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[710]) ).

thf(786,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[711]) ).

thf(787,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(788,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY78: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ SY78 ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[713]) ).

thf(789,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[714]) ).

thf(790,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(791,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[716]) ).

thf(792,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY93: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ SY93 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[717]) ).

thf(793,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[718]) ).

thf(794,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[718]) ).

thf(795,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY80: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ SY80 ) )
        = $true )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(796,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ ( sK44_SY65 @ SV13 ) ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[720]) ).

thf(797,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(798,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(799,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(800,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(801,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[725]) ).

thf(802,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[727]) ).

thf(803,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[727]) ).

thf(804,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(805,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[729]) ).

thf(806,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(807,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[731]) ).

thf(808,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[733]) ).

thf(809,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[733]) ).

thf(810,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(811,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(812,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[736]) ).

thf(813,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[737]) ).

thf(814,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[739]) ).

thf(815,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[739]) ).

thf(816,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(817,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(818,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(819,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[743]) ).

thf(820,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[745]) ).

thf(821,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[745]) ).

thf(822,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(823,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(824,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[748]) ).

thf(825,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[749]) ).

thf(826,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[751]) ).

thf(827,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[751]) ).

thf(828,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(829,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(830,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(831,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[755]) ).

thf(832,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[757]) ).

thf(833,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[757]) ).

thf(834,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[758]) ).

thf(835,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[759]) ).

thf(836,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[760]) ).

thf(837,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[761]) ).

thf(838,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[763]) ).

thf(839,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[763]) ).

thf(840,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(841,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[765]) ).

thf(842,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[766]) ).

thf(843,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[767]) ).

thf(844,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(845,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[769]) ).

thf(846,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[769]) ).

thf(847,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY102: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ SY102 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[770]) ).

thf(848,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY75: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ SY75 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(849,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY103: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ SY103 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[772]) ).

thf(850,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY104: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ SY104 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[773]) ).

thf(851,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV49: $i] :
              ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ SV49 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[774]) ).

thf(852,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[774]) ).

thf(853,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY90: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ SY90 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[775]) ).

thf(855,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[776]) ).

thf(856,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY105: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ SY105 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[777]) ).

thf(857,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY77: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ SY77 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(858,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ ( sK40_SY62 @ SV13 ) ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[779]) ).

thf(859,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(860,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(861,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[782]) ).

thf(862,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(863,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[784]) ).

thf(864,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(865,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
              | $true )
          | ~ ( ~ ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[786]) ).

thf(866,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[786]) ).

thf(867,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY107: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ SY107 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[787]) ).

thf(868,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY78: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ SY78 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(869,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY108: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ SY108 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[789]) ).

thf(870,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY109: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ SY109 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[790]) ).

thf(871,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV50: $i] :
              ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ SV50 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[791]) ).

thf(872,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[791]) ).

thf(873,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY93: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ SY93 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(875,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[793]) ).

thf(876,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY110: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ SY110 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[794]) ).

thf(877,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY80: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ SY80 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(878,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ ( sK44_SY65 @ SV13 ) ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(879,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[797]) ).

thf(880,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(881,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV51: $i] :
              ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ SV51 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[801]) ).

thf(882,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[801]) ).

thf(884,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[802]) ).

thf(885,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(886,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV52: $i] :
              ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ SV52 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[807]) ).

thf(887,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[807]) ).

thf(889,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[808]) ).

thf(890,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(891,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV53: $i] :
              ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ SV53 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[813]) ).

thf(892,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[813]) ).

thf(894,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[814]) ).

thf(895,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(896,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV54: $i] :
              ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ SV54 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[819]) ).

thf(897,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[819]) ).

thf(899,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(900,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(901,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV55: $i] :
              ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ SV55 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[825]) ).

thf(902,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[825]) ).

thf(904,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[826]) ).

thf(905,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(906,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV56: $i] :
              ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ SV56 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[831]) ).

thf(907,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[831]) ).

thf(909,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[832]) ).

thf(910,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(911,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV57: $i] :
              ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ SV57 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[837]) ).

thf(912,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[837]) ).

thf(914,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[838]) ).

thf(915,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(916,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(917,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[842]) ).

thf(918,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV58: $i] :
              ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ SV58 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[843]) ).

thf(919,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[843]) ).

thf(920,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY111: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ SY111 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[844]) ).

thf(922,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(923,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(924,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY102: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ SY102 ) )
        = $true )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(925,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ ( sK63_SY75 @ SV13 ) ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[848]) ).

thf(926,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY103: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ SY103 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[849]) ).

thf(927,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY104: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ SY104 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[850]) ).

thf(928,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[851]) ).

thf(929,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY112: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ SY112 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[852]) ).

thf(930,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY90: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ SY90 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[853]) ).

thf(932,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[855]) ).

thf(933,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY105: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ SY105 ) )
        = $true )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[856]) ).

thf(934,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ ( sK66_SY77 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[857]) ).

thf(935,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK12_SX0 @ SV13 ) @ ( sK40_SY62 @ SV13 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(936,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(937,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV15
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(938,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(939,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(940,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SV59: $i] :
              ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ SV59 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[863]) ).

thf(941,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[863]) ).

thf(942,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY113: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ SY113 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[864]) ).

thf(944,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[865]) ).

thf(945,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(946,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY107: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ SY107 ) )
        = $true )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[867]) ).

thf(947,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ ( sK68_SY78 @ SV13 ) ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[868]) ).

thf(948,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY108: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ SY108 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[869]) ).

thf(949,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY109: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ SY109 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[870]) ).

thf(950,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[871]) ).

thf(951,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY114: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ SY114 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[872]) ).

thf(952,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY93: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ SY93 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(954,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[875]) ).

thf(955,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY110: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ SY110 ) )
        = $true )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[876]) ).

thf(956,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ ( sK71_SY80 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[877]) ).

thf(957,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK14_SX0 @ SV13 ) @ ( sK44_SY65 @ SV13 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(958,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(959,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(960,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[881]) ).

thf(962,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(963,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(964,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[886]) ).

thf(966,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[889]) ).

thf(967,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(968,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[891]) ).

thf(970,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[894]) ).

thf(971,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[895]) ).

thf(972,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[896]) ).

thf(974,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[899]) ).

thf(975,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(976,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[901]) ).

thf(978,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[904]) ).

thf(979,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(980,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[906]) ).

thf(982,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[909]) ).

thf(983,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(984,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[911]) ).

thf(986,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(987,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(988,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY115: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ SY115 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[916]) ).

thf(989,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY116: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ SY116 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[917]) ).

thf(990,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[918]) ).

thf(991,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[919]) ).

thf(992,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY111: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ SY111 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(994,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[922]) ).

thf(995,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY117: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ SY117 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[923]) ).

thf(996,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY102: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ SY102 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(997,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ ( sK63_SY75 @ SV13 ) ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[925]) ).

thf(998,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY103: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ SY103 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(999,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY104: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ SY104 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(1000,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[928]) ).

thf(1001,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[928]) ).

thf(1002,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY112: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ SY112 ) )
        = $true )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[929]) ).

thf(1003,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ ( sK83_SY90 @ SV15 ) ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[930]) ).

thf(1005,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(1006,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY105: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ SY105 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(1007,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ ( sK66_SY77 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[934]) ).

thf(1008,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[936]) ).

thf(1009,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1010,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY118: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ SY118 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[938]) ).

thf(1011,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ! [SY119: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ SY119 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[939]) ).

thf(1012,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[940]) ).

thf(1013,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(1014,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY113: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ SY113 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[942]) ).

thf(1016,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[944]) ).

thf(1017,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY120: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ SY120 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[945]) ).

thf(1018,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY107: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ SY107 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(1019,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ ( sK68_SY78 @ SV13 ) ) )
        = $true )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[947]) ).

thf(1020,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY108: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ SY108 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(1021,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY109: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ SY109 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(1022,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[950]) ).

thf(1023,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[950]) ).

thf(1024,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY114: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ SY114 ) )
        = $true )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[951]) ).

thf(1025,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ ( sK88_SY93 @ SV15 ) ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[952]) ).

thf(1027,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[954]) ).

thf(1028,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY110: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ SY110 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[955]) ).

thf(1029,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ ( sK71_SY80 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[956]) ).

thf(1030,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[958]) ).

thf(1031,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[959]) ).

thf(1032,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[960]) ).

thf(1033,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[960]) ).

thf(1035,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[962]) ).

thf(1036,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[963]) ).

thf(1037,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[964]) ).

thf(1038,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[964]) ).

thf(1040,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[966]) ).

thf(1041,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(1042,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[968]) ).

thf(1043,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[968]) ).

thf(1045,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[970]) ).

thf(1046,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[971]) ).

thf(1047,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[972]) ).

thf(1048,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[972]) ).

thf(1050,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[974]) ).

thf(1051,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(1052,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[976]) ).

thf(1053,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[976]) ).

thf(1055,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[978]) ).

thf(1056,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[979]) ).

thf(1057,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[980]) ).

thf(1058,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[980]) ).

thf(1060,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[982]) ).

thf(1061,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1062,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[984]) ).

thf(1063,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[984]) ).

thf(1065,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[986]) ).

thf(1066,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[987]) ).

thf(1067,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY115: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ SY115 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[988]) ).

thf(1068,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY116: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ SY116 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[989]) ).

thf(1069,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[990]) ).

thf(1070,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[990]) ).

thf(1071,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY121: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ SY121 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[991]) ).

thf(1072,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY111: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ SY111 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1074,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[994]) ).

thf(1075,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY117: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ SY117 ) )
        = $true )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[995]) ).

thf(1076,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ ( sK90_SY102 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[996]) ).

thf(1077,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK24_SX0 @ SV13 ) @ ( sK63_SY75 @ SV13 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1078,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ ( sK91_SY103 @ SV15 @ SV14 ) ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[998]) ).

thf(1079,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ ( sK92_SY104 @ SV13 @ SV14 ) ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[999]) ).

thf(1081,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1000]) ).

thf(1082,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY122: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ SY122 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1001]) ).

thf(1083,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY112: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ SY112 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1084,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ ( sK83_SY90 @ SV15 ) ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1003]) ).

thf(1086,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1005]) ).

thf(1087,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ ( sK95_SY105 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1006]) ).

thf(1088,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK26_SX0 @ SV13 ) @ ( sK66_SY77 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1089,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV60: $i] :
              ( ( SV15 @ SV60 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1008]) ).

thf(1090,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1008]) ).

thf(1091,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1009]) ).

thf(1092,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY118: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ SY118 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1093,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ! [SY119: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ SY119 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1011]) ).

thf(1094,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
              | $true )
          | ~ ( ~ ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1012]) ).

thf(1095,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1012]) ).

thf(1096,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY125: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ SY125 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1013]) ).

thf(1097,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY113: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ SY113 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1099,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1016]) ).

thf(1100,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY120: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ SY120 ) )
        = $true )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1017]) ).

thf(1101,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ ( sK97_SY107 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1018]) ).

thf(1102,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK27_SX0 @ SV13 ) @ ( sK68_SY78 @ SV13 ) )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1019]) ).

thf(1103,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ ( sK98_SY108 @ SV15 @ SV14 ) ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1020]) ).

thf(1104,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ ( sK99_SY109 @ SV13 @ SV14 ) ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1021]) ).

thf(1106,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1022]) ).

thf(1107,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY126: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ SY126 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1023]) ).

thf(1108,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY114: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ SY114 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1024]) ).

thf(1109,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ ( sK88_SY93 @ SV15 ) ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1025]) ).

thf(1111,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1112,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ ( sK102_SY110 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1028]) ).

thf(1113,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK29_SX0 @ SV13 ) @ ( sK71_SY80 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1029]) ).

thf(1114,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV61: $i] :
              ( ( SV15 @ SV61 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1030]) ).

thf(1115,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1030]) ).

thf(1116,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV62: $i] :
              ( ( SV15 @ SV62 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1031]) ).

thf(1117,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1031]) ).

thf(1119,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1120,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1035]) ).

thf(1121,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV63: $i] :
              ( ( SV15 @ SV63 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1036]) ).

thf(1122,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1036]) ).

thf(1124,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1037]) ).

thf(1125,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1040]) ).

thf(1126,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV64: $i] :
              ( ( SV15 @ SV64 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1041]) ).

thf(1127,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1041]) ).

thf(1129,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1042]) ).

thf(1130,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1045]) ).

thf(1131,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV65: $i] :
              ( ( SV15 @ SV65 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1046]) ).

thf(1132,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1046]) ).

thf(1134,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1047]) ).

thf(1135,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1050]) ).

thf(1136,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV66: $i] :
              ( ( SV15 @ SV66 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1051]) ).

thf(1137,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1051]) ).

thf(1139,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1052]) ).

thf(1140,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1055]) ).

thf(1141,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV67: $i] :
              ( ( SV15 @ SV67 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1056]) ).

thf(1142,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1056]) ).

thf(1144,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1057]) ).

thf(1145,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1146,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV68: $i] :
              ( ( SV15 @ SV68 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1061]) ).

thf(1147,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1061]) ).

thf(1149,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1062]) ).

thf(1150,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1151,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV69: $i] :
              ( ( SV15 @ SV69 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1066]) ).

thf(1152,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1066]) ).

thf(1153,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY115: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ SY115 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1067]) ).

thf(1154,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY116: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ SY116 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1068]) ).

thf(1156,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1069]) ).

thf(1157,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1070]) ).

thf(1158,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY121: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ SY121 ) )
        = $true )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1159,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ ( sK103_SY111 @ SV15 ) ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1072]) ).

thf(1161,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1074]) ).

thf(1162,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY117: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ SY117 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1075]) ).

thf(1163,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ ( sK90_SY102 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1076]) ).

thf(1164,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ ( sK91_SY103 @ SV15 @ SV14 ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1078]) ).

thf(1165,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ ( sK92_SY104 @ SV13 @ SV14 ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1079]) ).

thf(1167,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1081]) ).

thf(1168,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY122: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ SY122 ) )
        = $true )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1082]) ).

thf(1169,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ ( sK104_SY112 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1083]) ).

thf(1170,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK39_SX0 @ SV15 ) @ ( sK83_SY90 @ SV15 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1084]) ).

thf(1172,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1173,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ ( sK95_SY105 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1087]) ).

thf(1174,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1175,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1090]) ).

thf(1176,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV71: $i] :
              ( ( SV15 @ SV71 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1177,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1178,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY118: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ SY118 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1092]) ).

thf(1179,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ! [SY119: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ SY119 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1093]) ).

thf(1181,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1094]) ).

thf(1182,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1183,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY125: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ SY125 ) )
        = $true )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1096]) ).

thf(1184,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ ( sK105_SY113 @ SV15 ) ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1097]) ).

thf(1186,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1187,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY120: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ SY120 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1100]) ).

thf(1188,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ ( sK97_SY107 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1101]) ).

thf(1189,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ ( sK98_SY108 @ SV15 @ SV14 ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1103]) ).

thf(1190,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ ( sK99_SY109 @ SV13 @ SV14 ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1104]) ).

thf(1192,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1106]) ).

thf(1193,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY126: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ SY126 ) )
        = $true )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1107]) ).

thf(1194,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ ( sK106_SY114 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1108]) ).

thf(1195,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK43_SX0 @ SV15 ) @ ( sK88_SY93 @ SV15 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1109]) ).

thf(1197,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1111]) ).

thf(1198,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ ( sK102_SY110 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1112]) ).

thf(1199,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1200,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1115]) ).

thf(1201,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1202,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1117]) ).

thf(1204,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1119]) ).

thf(1205,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1206,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1207,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1209,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1124]) ).

thf(1210,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1211,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1212,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1127]) ).

thf(1214,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1129]) ).

thf(1215,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1130]) ).

thf(1216,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1217,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1132]) ).

thf(1219,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1134]) ).

thf(1220,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1135]) ).

thf(1221,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1222,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1137]) ).

thf(1224,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1139]) ).

thf(1225,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1140]) ).

thf(1226,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1227,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1142]) ).

thf(1229,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1144]) ).

thf(1230,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1145]) ).

thf(1231,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1146]) ).

thf(1232,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1147]) ).

thf(1234,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1149]) ).

thf(1235,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1150]) ).

thf(1236,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1237,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1238,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ ( sK107_SY115 @ SV15 @ SV14 ) ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1153]) ).

thf(1239,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ ( sK108_SY116 @ SV13 @ SV14 ) ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1154]) ).

thf(1241,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1156]) ).

thf(1242,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY148: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ SY148 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1157]) ).

thf(1243,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY121: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ SY121 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1158]) ).

thf(1244,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ ( sK103_SY111 @ SV15 ) ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1159]) ).

thf(1246,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1247,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ ( sK111_SY117 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1162]) ).

thf(1248,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV13 ) @ ( sK90_SY102 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1163]) ).

thf(1249,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV14 @ SV15 ) @ ( sK91_SY103 @ SV15 @ SV14 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1164]) ).

thf(1250,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV14 @ SV13 ) @ ( sK92_SY104 @ SV13 @ SV14 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1165]) ).

thf(1252,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1167]) ).

thf(1253,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY122: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ SY122 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1168]) ).

thf(1254,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ ( sK104_SY112 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1169]) ).

thf(1256,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY150: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ SY150 ) )
        = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1172]) ).

thf(1257,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV13 ) @ ( sK95_SY105 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1258,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV81: $i] :
              ( ( SV15 @ SV70 @ SV81 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1259,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1260,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1175]) ).

thf(1261,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1262,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1177]) ).

thf(1263,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ ( sK113_SY118 @ SV15 @ SV14 ) ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1178]) ).

thf(1264,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ ( sK114_SY119 @ SV13 @ SV14 ) ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1179]) ).

thf(1266,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1181]) ).

thf(1267,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY152: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ SY152 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1182]) ).

thf(1268,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY125: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ SY125 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1183]) ).

thf(1269,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ ( sK105_SY113 @ SV15 ) ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1184]) ).

thf(1271,plain,
    ! [SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1186]) ).

thf(1272,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ ( sK117_SY120 @ SV13 ) ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1187]) ).

thf(1273,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK58_SX0 @ SV13 ) @ ( sK97_SY107 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1188]) ).

thf(1274,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV14 @ SV15 ) @ ( sK98_SY108 @ SV15 @ SV14 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1275,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK60_SX0 @ SV14 @ SV13 ) @ ( sK99_SY109 @ SV13 @ SV14 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1190]) ).

thf(1277,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1192]) ).

thf(1278,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY126: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ SY126 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1279,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ ( sK106_SY114 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1194]) ).

thf(1281,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY154: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ SY154 ) )
        = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1197]) ).

thf(1282,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV13 ) @ ( sK102_SY110 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1198]) ).

thf(1283,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV83: $i] :
              ( ( SV15 @ SV72 @ SV83 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1199]) ).

thf(1284,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1199]) ).

thf(1285,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1200]) ).

thf(1286,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV84: $i] :
              ( ( SV15 @ SV73 @ SV84 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1201]) ).

thf(1287,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1201]) ).

thf(1288,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1202]) ).

thf(1290,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1204]) ).

thf(1291,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV85: $i] :
              ( ( SV15 @ SV74 @ SV85 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1206]) ).

thf(1292,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1206]) ).

thf(1293,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1207]) ).

thf(1295,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1296,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV86: $i] :
              ( ( SV15 @ SV75 @ SV86 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1211]) ).

thf(1297,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1211]) ).

thf(1298,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1300,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1214]) ).

thf(1301,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV87: $i] :
              ( ( SV15 @ SV76 @ SV87 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1216]) ).

thf(1302,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1216]) ).

thf(1303,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1217]) ).

thf(1305,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1219]) ).

thf(1306,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV88: $i] :
              ( ( SV15 @ SV77 @ SV88 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1307,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1308,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1222]) ).

thf(1310,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1224]) ).

thf(1311,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV89: $i] :
              ( ( SV15 @ SV78 @ SV89 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1226]) ).

thf(1312,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1226]) ).

thf(1313,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1227]) ).

thf(1315,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1229]) ).

thf(1316,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV90: $i] :
              ( ( SV15 @ SV79 @ SV90 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1231]) ).

thf(1317,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1231]) ).

thf(1318,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1232]) ).

thf(1320,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1234]) ).

thf(1321,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV91: $i] :
              ( ( SV15 @ SV80 @ SV91 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1322,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1323,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1237]) ).

thf(1324,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ ( sK107_SY115 @ SV15 @ SV14 ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1238]) ).

thf(1325,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ ( sK108_SY116 @ SV13 @ SV14 ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1239]) ).

thf(1327,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1241]) ).

thf(1328,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY148: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ SY148 ) )
        = $true )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1242]) ).

thf(1329,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ ( sK119_SY121 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1243]) ).

thf(1330,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK62_SX0 @ SV15 ) @ ( sK103_SY111 @ SV15 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1244]) ).

thf(1332,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1246]) ).

thf(1333,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ ( sK111_SY117 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1247]) ).

thf(1335,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1252]) ).

thf(1336,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ ( sK121_SY122 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1253]) ).

thf(1337,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK65_SX0 @ SV15 ) @ ( sK104_SY112 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1339,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY150: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ SY150 ) )
        = $true )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1256]) ).

thf(1340,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1341,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1259]) ).

thf(1342,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV93: $i] :
              ( ( SV13 @ SV93 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1260]) ).

thf(1343,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1260]) ).

thf(1344,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SV94: $i] :
              ( ( SV15 @ SV82 @ SV94 )
              = $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1261]) ).

thf(1345,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1261]) ).

thf(1346,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1262]) ).

thf(1347,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ ( sK113_SY118 @ SV15 @ SV14 ) ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1263]) ).

thf(1348,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ ( sK114_SY119 @ SV13 @ SV14 ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1264]) ).

thf(1350,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1266]) ).

thf(1351,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY152: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ SY152 ) )
        = $true )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1267]) ).

thf(1352,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ ( sK123_SY125 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1268]) ).

thf(1353,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK67_SX0 @ SV15 ) @ ( sK105_SY113 @ SV15 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1269]) ).

thf(1355,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1271]) ).

thf(1356,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ ( sK117_SY120 @ SV13 ) ) )
        = $true )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1272]) ).

thf(1358,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1277]) ).

thf(1359,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ ( sK125_SY126 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1278]) ).

thf(1360,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK70_SX0 @ SV15 ) @ ( sK106_SY114 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1279]) ).

thf(1362,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY154: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ SY154 ) )
        = $true )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1281]) ).

thf(1363,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1364,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1284]) ).

thf(1365,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV96: $i] :
              ( ( SV13 @ SV96 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1285]) ).

thf(1366,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1285]) ).

thf(1367,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1368,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1287]) ).

thf(1369,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV98: $i] :
              ( ( SV13 @ SV98 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1288]) ).

thf(1370,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1288]) ).

thf(1371,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1290]) ).

thf(1372,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1291]) ).

thf(1373,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1292]) ).

thf(1374,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV100: $i] :
              ( ( SV13 @ SV100 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1293]) ).

thf(1375,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1293]) ).

thf(1376,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1377,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1378,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1379,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV102: $i] :
              ( ( SV13 @ SV102 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1298]) ).

thf(1380,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1298]) ).

thf(1381,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1382,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1301]) ).

thf(1383,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1384,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV104: $i] :
              ( ( SV13 @ SV104 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1303]) ).

thf(1385,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1303]) ).

thf(1386,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1387,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1388,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1389,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV106: $i] :
              ( ( SV13 @ SV106 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1308]) ).

thf(1390,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1308]) ).

thf(1391,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1310]) ).

thf(1392,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1311]) ).

thf(1393,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1394,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV108: $i] :
              ( ( SV13 @ SV108 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1313]) ).

thf(1395,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1313]) ).

thf(1396,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1397,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1398,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1399,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV110: $i] :
              ( ( SV13 @ SV110 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1318]) ).

thf(1400,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1318]) ).

thf(1401,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1402,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1403,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1322]) ).

thf(1404,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV112: $i] :
              ( ( SV13 @ SV112 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(1405,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(1406,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV14 @ SV15 ) @ ( sK107_SY115 @ SV15 @ SV14 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1407,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK80_SX0 @ SV14 @ SV13 ) @ ( sK108_SY116 @ SV13 @ SV14 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1325]) ).

thf(1409,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1327]) ).

thf(1410,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY148: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ SY148 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1328]) ).

thf(1411,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ ( sK119_SY121 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1329]) ).

thf(1413,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY167: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ SY167 ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1332]) ).

thf(1414,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK82_SX0 @ SV13 ) @ ( sK111_SY117 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1416,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1417,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ ( sK121_SY122 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1336]) ).

thf(1419,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY150: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ SY150 ) )
        = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1339]) ).

thf(1420,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV70 @ SV92 )
              | $true )
          | ~ ( ~ ( SV15 @ SV70 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1340]) ).

thf(1421,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1340]) ).

thf(1422,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1341]) ).

thf(1423,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1424,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV114: $i] :
      ( ( ( ~ ~ ! [SY169: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV114 @ SY169 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1425,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1344]) ).

thf(1426,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1345]) ).

thf(1427,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV116: $i] :
              ( ( SV13 @ SV116 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1346]) ).

thf(1428,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1346]) ).

thf(1429,plain,
    ! [SV15: $i > $i > $o,SV14: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK84_SX0 @ SV14 @ SV15 ) @ ( sK113_SY118 @ SV15 @ SV14 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1347]) ).

thf(1430,plain,
    ! [SV13: $i > $i > $o,SV14: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK85_SX0 @ SV14 @ SV13 ) @ ( sK114_SY119 @ SV13 @ SV14 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1348]) ).

thf(1432,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1433,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY152: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ SY152 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1351]) ).

thf(1434,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ ( sK123_SY125 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1352]) ).

thf(1436,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY171: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ SY171 ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1355]) ).

thf(1437,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV13 ) @ ( sK117_SY120 @ SV13 ) )
        = $false )
      | ( ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1356]) ).

thf(1439,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1440,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ ( sK125_SY126 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1359]) ).

thf(1442,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY154: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ SY154 ) )
        = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1362]) ).

thf(1443,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV72 @ SV95 )
              | $true )
          | ~ ( ~ ( SV15 @ SV72 @ SV95 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1363]) ).

thf(1444,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1363]) ).

thf(1445,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1364]) ).

thf(1446,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1365]) ).

thf(1447,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV118: $i] :
      ( ( ( ~ ~ ! [SY173: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV118 @ SY173 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1448,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV73 @ SV97 )
              | $true )
          | ~ ( ~ ( SV15 @ SV73 @ SV97 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1367]) ).

thf(1449,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1367]) ).

thf(1450,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1368]) ).

thf(1451,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV119 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1452,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1453,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV74 @ SV99 )
              | $true )
          | ~ ( ~ ( SV15 @ SV74 @ SV99 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1372]) ).

thf(1454,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1372]) ).

thf(1455,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1373]) ).

thf(1456,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1457,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1376]) ).

thf(1458,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV75 @ SV101 )
              | $true )
          | ~ ( ~ ( SV15 @ SV75 @ SV101 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1377]) ).

thf(1459,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1377]) ).

thf(1460,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1378]) ).

thf(1461,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV121 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1462,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1381]) ).

thf(1463,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV76 @ SV103 )
              | $true )
          | ~ ( ~ ( SV15 @ SV76 @ SV103 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1382]) ).

thf(1464,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1382]) ).

thf(1465,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1383]) ).

thf(1466,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV122 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1467,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1386]) ).

thf(1468,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV77 @ SV105 )
              | $true )
          | ~ ( ~ ( SV15 @ SV77 @ SV105 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1387]) ).

thf(1469,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1387]) ).

thf(1470,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1388]) ).

thf(1471,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV123 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1472,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1391]) ).

thf(1473,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV78 @ SV107 )
              | $true )
          | ~ ( ~ ( SV15 @ SV78 @ SV107 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1392]) ).

thf(1474,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1392]) ).

thf(1475,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1393]) ).

thf(1476,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV124 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1394]) ).

thf(1477,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1396]) ).

thf(1478,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV79 @ SV109 )
              | $true )
          | ~ ( ~ ( SV15 @ SV79 @ SV109 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1397]) ).

thf(1479,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1397]) ).

thf(1480,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1398]) ).

thf(1481,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV125 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1482,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1401]) ).

thf(1483,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV80 @ SV111 )
              | $true )
          | ~ ( ~ ( SV15 @ SV80 @ SV111 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1402]) ).

thf(1484,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1402]) ).

thf(1485,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1403]) ).

thf(1486,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1404]) ).

thf(1487,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1405]) ).

thf(1489,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1409]) ).

thf(1490,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ ( sK130_SY148 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1410]) ).

thf(1491,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK89_SX0 @ SV15 ) @ ( sK119_SY121 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1411]) ).

thf(1493,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY167: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ SY167 ) )
        = $true )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1413]) ).

thf(1495,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY183: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ SY183 ) )
        = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1416]) ).

thf(1496,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK93_SX0 @ SV15 ) @ ( sK121_SY122 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1417]) ).

thf(1498,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ ( sK133_SY150 @ SV13 ) ) )
        = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1419]) ).

thf(1499,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV70 @ SV92 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV70 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1420]) ).

thf(1500,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1501,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV127: $i] :
              ( ( SV13 @ SV127 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1422]) ).

thf(1502,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1422]) ).

thf(1503,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV128: $i] :
              ( ( SV13 @ SV113 @ SV128 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1423]) ).

thf(1504,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1423]) ).

thf(1505,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV114: $i] :
      ( ( ( ~ ! [SY169: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV114 @ SY169 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1424]) ).

thf(1506,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV82 @ SV115 )
              | $true )
          | ~ ( ~ ( SV15 @ SV82 @ SV115 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1425]) ).

thf(1507,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1425]) ).

thf(1508,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1426]) ).

thf(1509,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1510,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1428]) ).

thf(1512,plain,
    ! [SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1432]) ).

thf(1513,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ ( sK135_SY152 @ SV15 ) ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1433]) ).

thf(1514,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK96_SX0 @ SV15 ) @ ( sK123_SY125 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1434]) ).

thf(1516,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SY171: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ SY171 ) )
        = $true )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1436]) ).

thf(1518,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY187: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ SY187 ) )
        = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1439]) ).

thf(1519,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK100_SX0 @ SV15 ) @ ( sK125_SY126 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1440]) ).

thf(1521,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ ( sK138_SY154 @ SV13 ) ) )
        = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1442]) ).

thf(1522,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV72 @ SV95 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV72 @ SV95 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1443]) ).

thf(1523,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1444]) ).

thf(1524,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV130: $i] :
              ( ( SV13 @ SV130 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1445]) ).

thf(1525,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1445]) ).

thf(1526,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV131: $i] :
              ( ( SV13 @ SV117 @ SV131 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1446]) ).

thf(1527,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1446]) ).

thf(1528,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV118: $i] :
      ( ( ( ~ ! [SY173: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV118 @ SY173 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1447]) ).

thf(1529,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV73 @ SV97 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV73 @ SV97 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1448]) ).

thf(1530,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1449]) ).

thf(1531,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV132: $i] :
              ( ( SV13 @ SV132 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1450]) ).

thf(1532,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1450]) ).

thf(1533,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV133: $i] :
              ( ( SV13 @ SV119 @ SV133 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1451]) ).

thf(1534,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV119 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1451]) ).

thf(1535,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV74 @ SV99 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV74 @ SV99 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1453]) ).

thf(1536,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1454]) ).

thf(1537,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV134: $i] :
              ( ( SV13 @ SV134 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1455]) ).

thf(1538,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1455]) ).

thf(1539,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV135: $i] :
              ( ( SV13 @ SV120 @ SV135 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1456]) ).

thf(1540,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1456]) ).

thf(1541,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV75 @ SV101 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV75 @ SV101 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1458]) ).

thf(1542,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1459]) ).

thf(1543,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV136: $i] :
              ( ( SV13 @ SV136 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1460]) ).

thf(1544,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1460]) ).

thf(1545,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV137: $i] :
              ( ( SV13 @ SV121 @ SV137 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1461]) ).

thf(1546,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV121 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1461]) ).

thf(1547,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV76 @ SV103 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV76 @ SV103 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1463]) ).

thf(1548,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1464]) ).

thf(1549,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV138: $i] :
              ( ( SV13 @ SV138 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1465]) ).

thf(1550,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1465]) ).

thf(1551,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV139: $i] :
              ( ( SV13 @ SV122 @ SV139 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1466]) ).

thf(1552,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV122 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1466]) ).

thf(1553,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV77 @ SV105 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV77 @ SV105 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1468]) ).

thf(1554,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1469]) ).

thf(1555,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV140: $i] :
              ( ( SV13 @ SV140 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1470]) ).

thf(1556,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1470]) ).

thf(1557,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV141: $i] :
              ( ( SV13 @ SV123 @ SV141 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1471]) ).

thf(1558,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV123 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1471]) ).

thf(1559,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV78 @ SV107 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV78 @ SV107 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1473]) ).

thf(1560,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1474]) ).

thf(1561,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV142: $i] :
              ( ( SV13 @ SV142 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1475]) ).

thf(1562,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1475]) ).

thf(1563,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV143: $i] :
              ( ( SV13 @ SV124 @ SV143 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1476]) ).

thf(1564,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV124 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1476]) ).

thf(1565,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV79 @ SV109 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV79 @ SV109 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1478]) ).

thf(1566,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1479]) ).

thf(1567,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV144: $i] :
              ( ( SV13 @ SV144 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1480]) ).

thf(1568,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1480]) ).

thf(1569,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV145: $i] :
              ( ( SV13 @ SV125 @ SV145 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1481]) ).

thf(1570,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV125 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1481]) ).

thf(1571,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV80 @ SV111 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV80 @ SV111 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1483]) ).

thf(1572,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1484]) ).

thf(1573,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV146: $i] :
              ( ( SV13 @ SV146 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1485]) ).

thf(1574,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1485]) ).

thf(1575,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV147: $i] :
              ( ( SV13 @ SV126 @ SV147 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1486]) ).

thf(1576,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1486]) ).

thf(1577,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV148: $i] :
      ( ( ( ~ ~ ! [SY197: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY197 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1579,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1489]) ).

thf(1580,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ ( sK130_SY148 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1490]) ).

thf(1582,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY167: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ SY167 ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1493]) ).

thf(1584,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY183: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ SY183 ) )
        = $true )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1495]) ).

thf(1585,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ ( sK133_SY150 @ SV13 ) ) )
        = $true )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1498]) ).

thf(1586,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV70 @ SV92 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV70 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1499]) ).

thf(1587,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1500]) ).

thf(1588,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1589,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV150: $i] :
      ( ( ( ~ ~ ! [SY199: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY199 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1590,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1591,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV152: $i] :
      ( ( ( ~ ~ ! [SY200: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV152 @ SY200 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1592,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV114: $i] :
      ( ( ( ! [SY169: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV114 @ SY169 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1505]) ).

thf(1593,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ( SV15 @ SV82 @ SV115 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV15 @ SV82 @ SV115 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1506]) ).

thf(1594,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1507]) ).

thf(1595,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV153: $i] :
              ( ( SV13 @ SV153 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1508]) ).

thf(1596,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1508]) ).

thf(1597,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV154: $i] :
              ( ( SV13 @ SV129 @ SV154 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1509]) ).

thf(1598,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1509]) ).

thf(1599,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV155: $i] :
      ( ( ( ~ ~ ! [SY202: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV155 @ SY202 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1601,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1512]) ).

thf(1602,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ ( sK135_SY152 @ SV15 ) ) )
        = $true )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1513]) ).

thf(1604,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY171: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ SY171 ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1516]) ).

thf(1606,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY187: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ SY187 ) )
        = $true )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1518]) ).

thf(1607,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ ( sK138_SY154 @ SV13 ) ) )
        = $true )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1521]) ).

thf(1608,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV72 @ SV95 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV72 @ SV95 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1522]) ).

thf(1609,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1523]) ).

thf(1610,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1611,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV157: $i] :
      ( ( ( ~ ~ ! [SY204: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV157 @ SY204 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1612,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1526]) ).

thf(1613,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV159: $i] :
      ( ( ( ~ ~ ! [SY205: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV159 @ SY205 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1614,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV118: $i] :
      ( ( ( ! [SY173: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV118 @ SY173 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1528]) ).

thf(1615,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV73 @ SV97 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV73 @ SV97 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1529]) ).

thf(1616,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1530]) ).

thf(1617,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV160 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1618,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV119 @ SV161 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1533]) ).

thf(1619,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV74 @ SV99 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV74 @ SV99 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1535]) ).

thf(1620,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1536]) ).

thf(1621,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV162 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1622,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV120 @ SV163 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1623,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV75 @ SV101 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV75 @ SV101 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1541]) ).

thf(1624,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1542]) ).

thf(1625,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV164 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1626,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV121 @ SV165 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1627,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV76 @ SV103 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV76 @ SV103 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1547]) ).

thf(1628,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1548]) ).

thf(1629,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV166 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1630,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV122 @ SV167 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1631,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV77 @ SV105 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV77 @ SV105 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1553]) ).

thf(1632,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1554]) ).

thf(1633,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV168 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1634,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV123 @ SV169 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1635,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV78 @ SV107 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV78 @ SV107 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1559]) ).

thf(1636,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1560]) ).

thf(1637,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1638,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV124 @ SV171 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1639,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV79 @ SV109 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV79 @ SV109 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1640,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1566]) ).

thf(1641,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV172 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1642,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV125 @ SV173 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1569]) ).

thf(1643,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV80 @ SV111 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV80 @ SV111 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1571]) ).

thf(1644,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1572]) ).

thf(1645,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1573]) ).

thf(1646,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1574]) ).

thf(1647,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1648,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1576]) ).

thf(1649,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV148: $i] :
      ( ( ( ~ ! [SY197: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY197 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1577]) ).

thf(1651,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY214: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ SY214 ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1579]) ).

thf(1652,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV15 ) @ ( sK130_SY148 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1580]) ).

thf(1654,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ ( sK142_SY167 @ SV13 ) ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1582]) ).

thf(1656,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY183: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ SY183 ) )
        = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1584]) ).

thf(1657,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ ( sK133_SY150 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1585]) ).

thf(1659,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV70 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1586]) ).

thf(1660,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV176: $i] :
              ( ( SV13 @ SV176 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1587]) ).

thf(1661,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1587]) ).

thf(1662,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV177: $i] :
              ( ( SV13 @ SV149 @ SV177 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1588]) ).

thf(1663,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1588]) ).

thf(1664,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV150: $i] :
      ( ( ( ~ ! [SY199: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY199 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1665,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV113 @ SV151 )
              | $true )
          | ~ ( ~ ( SV13 @ SV113 @ SV151 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1590]) ).

thf(1666,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1590]) ).

thf(1667,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV152: $i] :
      ( ( ( ~ ! [SY200: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV152 @ SY200 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1591]) ).

thf(1668,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV178: $i,SV114: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV114 @ SV178 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1592]) ).

thf(1669,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ( SV15 @ SV82 @ SV115 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV15 @ SV82 @ SV115 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1593]) ).

thf(1670,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1594]) ).

thf(1671,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1595]) ).

thf(1672,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1596]) ).

thf(1673,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1597]) ).

thf(1674,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1598]) ).

thf(1675,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV155: $i] :
      ( ( ( ~ ! [SY202: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV155 @ SY202 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1599]) ).

thf(1677,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY217: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ SY217 ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1601]) ).

thf(1678,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK115_SX0 @ SV15 ) @ ( sK135_SY152 @ SV15 ) )
        = $false )
      | ( ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1602]) ).

thf(1680,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ ( sK144_SY171 @ SV13 ) ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1604]) ).

thf(1682,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY187: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ SY187 ) )
        = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1606]) ).

thf(1683,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ ( sK138_SY154 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1607]) ).

thf(1685,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV72 @ SV95 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1686,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV181: $i] :
              ( ( SV13 @ SV181 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1609]) ).

thf(1687,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1609]) ).

thf(1688,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV182: $i] :
              ( ( SV13 @ SV156 @ SV182 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1610]) ).

thf(1689,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1610]) ).

thf(1690,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV157: $i] :
      ( ( ( ~ ! [SY204: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV157 @ SY204 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1611]) ).

thf(1691,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV117 @ SV158 )
              | $true )
          | ~ ( ~ ( SV13 @ SV117 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1612]) ).

thf(1692,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1612]) ).

thf(1693,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV159: $i] :
      ( ( ( ~ ! [SY205: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV159 @ SY205 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1613]) ).

thf(1694,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV183: $i,SV118: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV118 @ SV183 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1614]) ).

thf(1696,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV73 @ SV97 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1697,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV184: $i] :
              ( ( SV13 @ SV184 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1616]) ).

thf(1698,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1616]) ).

thf(1699,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV185: $i] :
              ( ( SV13 @ SV160 @ SV185 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1617]) ).

thf(1700,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV160 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1617]) ).

thf(1701,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV119 @ SV161 )
              | $true )
          | ~ ( ~ ( SV13 @ SV119 @ SV161 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1618]) ).

thf(1702,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV119 @ SV161 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1618]) ).

thf(1704,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV74 @ SV99 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1705,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV186: $i] :
              ( ( SV13 @ SV186 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1620]) ).

thf(1706,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1620]) ).

thf(1707,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV187: $i] :
              ( ( SV13 @ SV162 @ SV187 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1621]) ).

thf(1708,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV162 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1621]) ).

thf(1709,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV120 @ SV163 )
              | $true )
          | ~ ( ~ ( SV13 @ SV120 @ SV163 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1622]) ).

thf(1710,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV120 @ SV163 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1622]) ).

thf(1712,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV75 @ SV101 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1623]) ).

thf(1713,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV188: $i] :
              ( ( SV13 @ SV188 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1624]) ).

thf(1714,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1624]) ).

thf(1715,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV189: $i] :
              ( ( SV13 @ SV164 @ SV189 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1625]) ).

thf(1716,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV164 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1625]) ).

thf(1717,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV121 @ SV165 )
              | $true )
          | ~ ( ~ ( SV13 @ SV121 @ SV165 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1626]) ).

thf(1718,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV121 @ SV165 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1626]) ).

thf(1720,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV76 @ SV103 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1627]) ).

thf(1721,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV190: $i] :
              ( ( SV13 @ SV190 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1628]) ).

thf(1722,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1628]) ).

thf(1723,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV191: $i] :
              ( ( SV13 @ SV166 @ SV191 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1629]) ).

thf(1724,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV166 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1629]) ).

thf(1725,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV122 @ SV167 )
              | $true )
          | ~ ( ~ ( SV13 @ SV122 @ SV167 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1630]) ).

thf(1726,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV122 @ SV167 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1630]) ).

thf(1728,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV77 @ SV105 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1729,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV192: $i] :
              ( ( SV13 @ SV192 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1632]) ).

thf(1730,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1632]) ).

thf(1731,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV193: $i] :
              ( ( SV13 @ SV168 @ SV193 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1633]) ).

thf(1732,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV168 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1633]) ).

thf(1733,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV123 @ SV169 )
              | $true )
          | ~ ( ~ ( SV13 @ SV123 @ SV169 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1634]) ).

thf(1734,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV123 @ SV169 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1634]) ).

thf(1736,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV78 @ SV107 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1635]) ).

thf(1737,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV194: $i] :
              ( ( SV13 @ SV194 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1636]) ).

thf(1738,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1636]) ).

thf(1739,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV195: $i] :
              ( ( SV13 @ SV170 @ SV195 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1637]) ).

thf(1740,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1637]) ).

thf(1741,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV124 @ SV171 )
              | $true )
          | ~ ( ~ ( SV13 @ SV124 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1638]) ).

thf(1742,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV124 @ SV171 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1638]) ).

thf(1744,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV79 @ SV109 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1745,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV196: $i] :
              ( ( SV13 @ SV196 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1640]) ).

thf(1746,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1640]) ).

thf(1747,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV197: $i] :
              ( ( SV13 @ SV172 @ SV197 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1641]) ).

thf(1748,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV172 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1641]) ).

thf(1749,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV125 @ SV173 )
              | $true )
          | ~ ( ~ ( SV13 @ SV125 @ SV173 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1642]) ).

thf(1750,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV125 @ SV173 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1642]) ).

thf(1752,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV80 @ SV111 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1643]) ).

thf(1753,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV198: $i] :
              ( ( SV13 @ SV198 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1644]) ).

thf(1754,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1644]) ).

thf(1755,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV199: $i] :
              ( ( SV13 @ SV174 @ SV199 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1645]) ).

thf(1756,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1645]) ).

thf(1757,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV200: $i] :
      ( ( ( ~ ~ ! [SY227: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY227 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1758,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV126 @ SV175 )
              | $true )
          | ~ ( ~ ( SV13 @ SV126 @ SV175 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1647]) ).

thf(1759,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1647]) ).

thf(1760,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV201: $i] :
      ( ( ( ~ ~ ! [SY228: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY228 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1648]) ).

thf(1761,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV148: $i] :
      ( ( ( ! [SY197: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY197 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1649]) ).

thf(1763,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY214: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ SY214 ) )
        = $true )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1651]) ).

thf(1764,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ ( sK142_SY167 @ SV13 ) ) )
        = $true )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1654]) ).

thf(1766,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ ( sK146_SY183 @ SV15 ) ) )
        = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1656]) ).

thf(1768,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV70 @ SV92 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1659]) ).

thf(1769,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1660]) ).

thf(1770,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV203: $i] :
      ( ( ( ~ ~ ! [SY230: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY230 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(1771,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1662]) ).

thf(1772,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV205: $i] :
      ( ( ( ~ ~ ! [SY231: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY231 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1663]) ).

thf(1773,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV150: $i] :
      ( ( ( ! [SY199: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY199 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1664]) ).

thf(1774,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV113 @ SV151 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV113 @ SV151 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1665]) ).

thf(1775,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV206: $i] :
      ( ( ( ~ ~ ! [SY232: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY232 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1666]) ).

thf(1776,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV152: $i] :
      ( ( ( ! [SY200: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV152 @ SY200 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1667]) ).

thf(1777,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV178: $i,SV114: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV114 @ SV178 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1668]) ).

thf(1779,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV15 @ SV82 @ SV115 )
              | ~ $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1669]) ).

thf(1780,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV207: $i] :
              ( ( SV13 @ SV207 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1670]) ).

thf(1781,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1670]) ).

thf(1782,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV208: $i] :
              ( ( SV13 @ SV179 @ SV208 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1671]) ).

thf(1783,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1671]) ).

thf(1784,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV209: $i] :
      ( ( ( ~ ~ ! [SY234: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV209 @ SY234 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1672]) ).

thf(1785,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV129 @ SV180 )
              | $true )
          | ~ ( ~ ( SV13 @ SV129 @ SV180 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1673]) ).

thf(1786,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1673]) ).

thf(1787,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV210: $i] :
      ( ( ( ~ ~ ! [SY235: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV210 @ SY235 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1674]) ).

thf(1788,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV155: $i] :
      ( ( ( ! [SY202: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV155 @ SY202 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1675]) ).

thf(1790,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SY217: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ SY217 ) )
        = $true )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1677]) ).

thf(1791,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ ( sK144_SY171 @ SV13 ) ) )
        = $true )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1680]) ).

thf(1793,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ ( sK148_SY187 @ SV15 ) ) )
        = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1682]) ).

thf(1795,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV72 @ SV95 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1685]) ).

thf(1796,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1686]) ).

thf(1797,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV212: $i] :
      ( ( ( ~ ~ ! [SY237: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV212 @ SY237 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1687]) ).

thf(1798,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1688]) ).

thf(1799,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV214: $i] :
      ( ( ( ~ ~ ! [SY238: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV214 @ SY238 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(1800,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV157: $i] :
      ( ( ( ! [SY204: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV157 @ SY204 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1690]) ).

thf(1801,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV117 @ SV158 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV117 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1691]) ).

thf(1802,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV215: $i] :
      ( ( ( ~ ~ ! [SY239: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV215 @ SY239 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(1803,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV159: $i] :
      ( ( ( ! [SY205: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV159 @ SY205 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1693]) ).

thf(1804,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV183: $i,SV118: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV118 @ SV183 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1694]) ).

thf(1806,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV73 @ SV97 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1696]) ).

thf(1807,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV216 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(1808,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV160 @ SV217 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1699]) ).

thf(1809,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV119 @ SV161 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV119 @ SV161 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1701]) ).

thf(1811,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV74 @ SV99 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1812,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV218 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1705]) ).

thf(1813,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV162 @ SV219 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1707]) ).

thf(1814,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV120 @ SV163 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV120 @ SV163 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1709]) ).

thf(1816,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV75 @ SV101 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1712]) ).

thf(1817,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV220 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1713]) ).

thf(1818,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV164 @ SV221 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1715]) ).

thf(1819,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV121 @ SV165 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV121 @ SV165 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1717]) ).

thf(1821,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV76 @ SV103 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1720]) ).

thf(1822,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV222 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1721]) ).

thf(1823,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV166 @ SV223 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1723]) ).

thf(1824,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV122 @ SV167 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV122 @ SV167 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1725]) ).

thf(1826,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV77 @ SV105 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1728]) ).

thf(1827,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV224 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1729]) ).

thf(1828,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV168 @ SV225 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1731]) ).

thf(1829,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV123 @ SV169 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV123 @ SV169 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1733]) ).

thf(1831,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV78 @ SV107 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1736]) ).

thf(1832,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV226 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1737]) ).

thf(1833,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV170 @ SV227 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(1834,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV124 @ SV171 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV124 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1741]) ).

thf(1836,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV79 @ SV109 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1744]) ).

thf(1837,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV228 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1745]) ).

thf(1838,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV172 @ SV229 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(1839,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV125 @ SV173 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV125 @ SV173 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1749]) ).

thf(1841,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV80 @ SV111 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1752]) ).

thf(1842,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1753]) ).

thf(1843,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1754]) ).

thf(1844,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1755]) ).

thf(1845,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1756]) ).

thf(1846,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV200: $i] :
      ( ( ( ~ ! [SY227: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY227 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1757]) ).

thf(1847,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV126 @ SV175 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV126 @ SV175 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1758]) ).

thf(1848,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1759]) ).

thf(1849,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV201: $i] :
      ( ( ( ~ ! [SY228: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY228 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1760]) ).

thf(1850,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV232: $i,SV148: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SV232 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1761]) ).

thf(1852,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY214: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ SY214 ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1763]) ).

thf(1853,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ ( sK142_SY167 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1764]) ).

thf(1854,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ ( sK146_SY183 @ SV15 ) ) )
        = $true )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1766]) ).

thf(1857,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV70 @ SV92 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1768]) ).

thf(1859,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV233: $i] :
              ( ( SV13 @ SV202 @ SV233 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1769]) ).

thf(1860,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1769]) ).

thf(1861,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV203: $i] :
      ( ( ( ~ ! [SY230: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY230 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1770]) ).

thf(1862,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV149 @ SV204 )
              | $true )
          | ~ ( ~ ( SV13 @ SV149 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1771]) ).

thf(1863,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1771]) ).

thf(1864,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV205: $i] :
      ( ( ( ~ ! [SY231: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY231 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1772]) ).

thf(1865,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV234: $i,SV150: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SV234 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1773]) ).

thf(1866,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV113 @ SV151 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV113 @ SV151 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1774]) ).

thf(1867,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV206: $i] :
      ( ( ( ~ ! [SY232: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY232 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1775]) ).

thf(1868,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV235: $i,SV152: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV152 @ SV235 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1776]) ).

thf(1869,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV178: $i,SV114: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV114 @ SV178 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1777]) ).

thf(1871,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV82 @ SV115 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1779]) ).

thf(1872,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1780]) ).

thf(1873,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1781]) ).

thf(1874,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1782]) ).

thf(1875,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1783]) ).

thf(1876,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV209: $i] :
      ( ( ( ~ ! [SY234: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV209 @ SY234 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1784]) ).

thf(1877,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV129 @ SV180 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV129 @ SV180 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1785]) ).

thf(1878,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1786]) ).

thf(1879,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV210: $i] :
      ( ( ( ~ ! [SY235: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV210 @ SY235 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1787]) ).

thf(1880,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV238: $i,SV155: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV155 @ SV238 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1788]) ).

thf(1882,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY217: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ SY217 ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1790]) ).

thf(1883,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ ( sK144_SY171 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1791]) ).

thf(1884,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ ( sK148_SY187 @ SV15 ) ) )
        = $true )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1793]) ).

thf(1887,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV72 @ SV95 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1795]) ).

thf(1889,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV239: $i] :
              ( ( SV13 @ SV211 @ SV239 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(1890,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(1891,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV212: $i] :
      ( ( ( ~ ! [SY237: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV212 @ SY237 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1797]) ).

thf(1892,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV156 @ SV213 )
              | $true )
          | ~ ( ~ ( SV13 @ SV156 @ SV213 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1798]) ).

thf(1893,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1798]) ).

thf(1894,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV214: $i] :
      ( ( ( ~ ! [SY238: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV214 @ SY238 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1799]) ).

thf(1895,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV240: $i,SV157: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV157 @ SV240 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1800]) ).

thf(1896,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV117 @ SV158 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV117 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1801]) ).

thf(1897,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV215: $i] :
      ( ( ( ~ ! [SY239: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV215 @ SY239 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1802]) ).

thf(1898,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV241: $i,SV159: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV159 @ SV241 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1803]) ).

thf(1899,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV183: $i,SV118: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV118 @ SV183 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1804]) ).

thf(1902,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV73 @ SV97 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1806]) ).

thf(1904,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV242: $i] :
              ( ( SV13 @ SV216 @ SV242 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(1905,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV216 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(1906,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV160 @ SV217 )
              | $true )
          | ~ ( ~ ( SV13 @ SV160 @ SV217 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(1907,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV160 @ SV217 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(1908,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV119 @ SV161 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV119 @ SV161 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1809]) ).

thf(1911,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV74 @ SV99 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1811]) ).

thf(1913,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV243: $i] :
              ( ( SV13 @ SV218 @ SV243 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1812]) ).

thf(1914,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV218 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1812]) ).

thf(1915,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV162 @ SV219 )
              | $true )
          | ~ ( ~ ( SV13 @ SV162 @ SV219 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1813]) ).

thf(1916,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV162 @ SV219 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1813]) ).

thf(1917,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV120 @ SV163 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV120 @ SV163 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1814]) ).

thf(1920,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV75 @ SV101 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1816]) ).

thf(1922,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV244: $i] :
              ( ( SV13 @ SV220 @ SV244 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1817]) ).

thf(1923,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV220 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1817]) ).

thf(1924,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV164 @ SV221 )
              | $true )
          | ~ ( ~ ( SV13 @ SV164 @ SV221 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1818]) ).

thf(1925,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV164 @ SV221 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1818]) ).

thf(1926,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV121 @ SV165 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV121 @ SV165 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1819]) ).

thf(1929,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV76 @ SV103 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1821]) ).

thf(1931,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV245: $i] :
              ( ( SV13 @ SV222 @ SV245 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(1932,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV222 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(1933,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV166 @ SV223 )
              | $true )
          | ~ ( ~ ( SV13 @ SV166 @ SV223 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(1934,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV166 @ SV223 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(1935,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV122 @ SV167 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV122 @ SV167 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1824]) ).

thf(1938,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV77 @ SV105 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1826]) ).

thf(1940,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV246: $i] :
              ( ( SV13 @ SV224 @ SV246 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1827]) ).

thf(1941,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV224 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1827]) ).

thf(1942,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV168 @ SV225 )
              | $true )
          | ~ ( ~ ( SV13 @ SV168 @ SV225 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1828]) ).

thf(1943,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV168 @ SV225 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1828]) ).

thf(1944,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV123 @ SV169 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV123 @ SV169 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1829]) ).

thf(1947,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV78 @ SV107 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1831]) ).

thf(1949,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV247: $i] :
              ( ( SV13 @ SV226 @ SV247 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1832]) ).

thf(1950,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV226 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1832]) ).

thf(1951,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV170 @ SV227 )
              | $true )
          | ~ ( ~ ( SV13 @ SV170 @ SV227 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1833]) ).

thf(1952,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV170 @ SV227 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1833]) ).

thf(1953,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV124 @ SV171 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV124 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1834]) ).

thf(1956,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV79 @ SV109 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1836]) ).

thf(1958,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV248: $i] :
              ( ( SV13 @ SV228 @ SV248 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1837]) ).

thf(1959,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV228 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1837]) ).

thf(1960,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV172 @ SV229 )
              | $true )
          | ~ ( ~ ( SV13 @ SV172 @ SV229 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1838]) ).

thf(1961,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV172 @ SV229 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1838]) ).

thf(1962,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV125 @ SV173 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV125 @ SV173 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1839]) ).

thf(1965,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV80 @ SV111 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1841]) ).

thf(1967,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV249: $i] :
              ( ( SV13 @ SV230 @ SV249 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1842]) ).

thf(1968,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1842]) ).

thf(1969,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV250: $i] :
      ( ( ( ~ ~ ! [SY249: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY249 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1843]) ).

thf(1970,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV174 @ SV231 )
              | $true )
          | ~ ( ~ ( SV13 @ SV174 @ SV231 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1844]) ).

thf(1971,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1844]) ).

thf(1972,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV251: $i] :
      ( ( ( ~ ~ ! [SY250: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV251 @ SY250 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1845]) ).

thf(1973,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV200: $i] :
      ( ( ( ! [SY227: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY227 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1846]) ).

thf(1974,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV126 @ SV175 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV126 @ SV175 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1847]) ).

thf(1975,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV252: $i] :
      ( ( ( ~ ~ ! [SY251: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY251 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1848]) ).

thf(1976,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV201: $i] :
      ( ( ( ! [SY228: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY228 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1849]) ).

thf(1977,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV232: $i,SV148: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV148 @ SV232 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1850]) ).

thf(1979,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ ( sK149_SY214 @ SV15 ) ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1852]) ).

thf(1980,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ ( sK146_SY183 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1854]) ).

thf(1983,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1857]) ).

thf(1985,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1859]) ).

thf(1986,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV254: $i] :
      ( ( ( ~ ~ ! [SY252: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV254 @ SY252 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1860]) ).

thf(1987,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV203: $i] :
      ( ( ( ! [SY230: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY230 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1861]) ).

thf(1988,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV149 @ SV204 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV149 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1862]) ).

thf(1989,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV255: $i] :
      ( ( ( ~ ~ ! [SY253: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV255 @ SY253 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1863]) ).

thf(1990,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV205: $i] :
      ( ( ( ! [SY231: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY231 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1864]) ).

thf(1991,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV234: $i,SV150: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV150 @ SV234 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1865]) ).

thf(1993,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV113 @ SV151 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1866]) ).

thf(1994,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV206: $i] :
      ( ( ( ! [SY232: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY232 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1867]) ).

thf(1995,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV235: $i,SV152: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV152 @ SV235 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1868]) ).

thf(1998,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV82 @ SV115 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1871]) ).

thf(2000,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV256: $i] :
              ( ( SV13 @ SV236 @ SV256 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1872]) ).

thf(2001,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1872]) ).

thf(2002,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV257: $i] :
      ( ( ( ~ ~ ! [SY254: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV257 @ SY254 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1873]) ).

thf(2003,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV179 @ SV237 )
              | $true )
          | ~ ( ~ ( SV13 @ SV179 @ SV237 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1874]) ).

thf(2004,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1874]) ).

thf(2005,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV258: $i] :
      ( ( ( ~ ~ ! [SY255: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV258 @ SY255 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1875]) ).

thf(2006,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV209: $i] :
      ( ( ( ! [SY234: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV209 @ SY234 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1876]) ).

thf(2007,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV129 @ SV180 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV129 @ SV180 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1877]) ).

thf(2008,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV259: $i] :
      ( ( ( ~ ~ ! [SY256: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV259 @ SY256 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(2009,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV210: $i] :
      ( ( ( ! [SY235: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV210 @ SY235 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1879]) ).

thf(2010,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV238: $i,SV155: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV155 @ SV238 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1880]) ).

thf(2012,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ ( sK150_SY217 @ SV15 ) ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1882]) ).

thf(2013,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ ( sK148_SY187 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1884]) ).

thf(2016,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1887]) ).

thf(2018,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1889]) ).

thf(2019,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV261: $i] :
      ( ( ( ~ ~ ! [SY257: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV261 @ SY257 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1890]) ).

thf(2020,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV212: $i] :
      ( ( ( ! [SY237: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV212 @ SY237 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1891]) ).

thf(2021,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV156 @ SV213 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV156 @ SV213 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1892]) ).

thf(2022,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV262: $i] :
      ( ( ( ~ ~ ! [SY258: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV262 @ SY258 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2023,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV214: $i] :
      ( ( ( ! [SY238: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV214 @ SY238 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1894]) ).

thf(2024,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV240: $i,SV157: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV157 @ SV240 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1895]) ).

thf(2026,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV117 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1896]) ).

thf(2027,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV215: $i] :
      ( ( ( ! [SY239: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV215 @ SY239 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1897]) ).

thf(2028,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV241: $i,SV159: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV159 @ SV241 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1898]) ).

thf(2031,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV97: $i,SV73: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1902]) ).

thf(2033,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV216 @ SV263 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1904]) ).

thf(2034,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV160 @ SV217 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV160 @ SV217 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1906]) ).

thf(2036,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV119 @ SV161 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1908]) ).

thf(2039,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV99: $i,SV74: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1911]) ).

thf(2041,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV218 @ SV264 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1913]) ).

thf(2042,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV162 @ SV219 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV162 @ SV219 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1915]) ).

thf(2044,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV120 @ SV163 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1917]) ).

thf(2047,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV101: $i,SV75: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1920]) ).

thf(2049,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV220 @ SV265 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1922]) ).

thf(2050,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV164 @ SV221 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV164 @ SV221 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1924]) ).

thf(2052,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV121 @ SV165 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1926]) ).

thf(2055,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV103: $i,SV76: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1929]) ).

thf(2057,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV222 @ SV266 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1931]) ).

thf(2058,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV166 @ SV223 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV166 @ SV223 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1933]) ).

thf(2060,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV122 @ SV167 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1935]) ).

thf(2063,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV105: $i,SV77: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1938]) ).

thf(2065,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV224 @ SV267 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1940]) ).

thf(2066,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV168 @ SV225 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV168 @ SV225 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1942]) ).

thf(2068,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV123 @ SV169 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1944]) ).

thf(2071,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV107: $i,SV78: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1947]) ).

thf(2073,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV226 @ SV268 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1949]) ).

thf(2074,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV170 @ SV227 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV170 @ SV227 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1951]) ).

thf(2076,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV124 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1953]) ).

thf(2079,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV109: $i,SV79: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1956]) ).

thf(2081,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV228 @ SV269 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1958]) ).

thf(2082,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV172 @ SV229 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV172 @ SV229 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1960]) ).

thf(2084,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV125 @ SV173 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1962]) ).

thf(2087,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1965]) ).

thf(2089,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1967]) ).

thf(2090,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1968]) ).

thf(2091,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV250: $i] :
      ( ( ( ~ ! [SY249: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY249 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1969]) ).

thf(2092,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV174 @ SV231 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV174 @ SV231 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1970]) ).

thf(2093,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1971]) ).

thf(2094,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV251: $i] :
      ( ( ( ~ ! [SY250: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV251 @ SY250 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1972]) ).

thf(2095,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV271: $i,SV200: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SV271 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2097,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV126 @ SV175 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1974]) ).

thf(2098,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV252: $i] :
      ( ( ( ~ ! [SY251: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY251 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1975]) ).

thf(2099,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV272: $i,SV201: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SV272 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1976]) ).

thf(2100,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV232: $i,SV148: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV148 @ SV232 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1977]) ).

thf(2101,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ ( sK149_SY214 @ SV15 ) ) )
        = $true )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1979]) ).

thf(2104,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1983]) ).

thf(2106,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV202 @ SV253 )
              | $true )
          | ~ ( ~ ( SV13 @ SV202 @ SV253 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2107,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2108,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV254: $i] :
      ( ( ( ~ ! [SY252: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV254 @ SY252 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1986]) ).

thf(2109,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV273: $i,SV203: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SV273 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1987]) ).

thf(2110,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV149 @ SV204 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV149 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1988]) ).

thf(2111,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV255: $i] :
      ( ( ( ~ ! [SY253: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV255 @ SY253 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1989]) ).

thf(2112,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV274: $i,SV205: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SV274 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1990]) ).

thf(2113,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV234: $i,SV150: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV150 @ SV234 )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1991]) ).

thf(2115,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV113 @ SV151 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1993]) ).

thf(2116,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV275: $i,SV206: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SV275 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1994]) ).

thf(2117,plain,
    ! [SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV235: $i,SV152: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV152 @ SV235 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1995]) ).

thf(2120,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV13
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1998]) ).

thf(2122,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2000]) ).

thf(2123,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2001]) ).

thf(2124,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV257: $i] :
      ( ( ( ~ ! [SY254: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV257 @ SY254 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2002]) ).

thf(2125,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV179 @ SV237 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV179 @ SV237 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2003]) ).

thf(2126,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2004]) ).

thf(2127,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV258: $i] :
      ( ( ( ~ ! [SY255: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV258 @ SY255 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2005]) ).

thf(2128,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV277: $i,SV209: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV209 @ SV277 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2006]) ).

thf(2130,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV129 @ SV180 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2007]) ).

thf(2131,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV259: $i] :
      ( ( ( ~ ! [SY256: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV259 @ SY256 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2008]) ).

thf(2132,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV278: $i,SV210: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV210 @ SV278 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2009]) ).

thf(2133,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV238: $i,SV155: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV155 @ SV238 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2010]) ).

thf(2134,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ ( sK150_SY217 @ SV15 ) ) )
        = $true )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2012]) ).

thf(2137,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2016]) ).

thf(2139,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV211 @ SV260 )
              | $true )
          | ~ ( ~ ( SV13 @ SV211 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2018]) ).

thf(2140,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2018]) ).

thf(2141,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV261: $i] :
      ( ( ( ~ ! [SY257: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV261 @ SY257 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2019]) ).

thf(2142,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV279: $i,SV212: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV212 @ SV279 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2020]) ).

thf(2143,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV156 @ SV213 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV156 @ SV213 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2021]) ).

thf(2144,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV262: $i] :
      ( ( ( ~ ! [SY258: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV262 @ SY258 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2022]) ).

thf(2145,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV280: $i,SV214: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV214 @ SV280 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2146,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV240: $i,SV157: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV157 @ SV240 )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2024]) ).

thf(2148,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV117 @ SV158 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2026]) ).

thf(2149,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV281: $i,SV215: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV215 @ SV281 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2027]) ).

thf(2150,plain,
    ! [SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV241: $i,SV159: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV159 @ SV241 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2028]) ).

thf(2153,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2031]) ).

thf(2155,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV216 @ SV263 )
              | $true )
          | ~ ( ~ ( SV13 @ SV216 @ SV263 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2156,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV216 @ SV263 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2157,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV160 @ SV217 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV160 @ SV217 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2034]) ).

thf(2159,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV119 @ SV161 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2036]) ).

thf(2162,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2039]) ).

thf(2164,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV218 @ SV264 )
              | $true )
          | ~ ( ~ ( SV13 @ SV218 @ SV264 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2041]) ).

thf(2165,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV218 @ SV264 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2041]) ).

thf(2166,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV162 @ SV219 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV162 @ SV219 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2042]) ).

thf(2168,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV120 @ SV163 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2044]) ).

thf(2171,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2047]) ).

thf(2173,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV220 @ SV265 )
              | $true )
          | ~ ( ~ ( SV13 @ SV220 @ SV265 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2049]) ).

thf(2174,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV220 @ SV265 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2049]) ).

thf(2175,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV164 @ SV221 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV164 @ SV221 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2050]) ).

thf(2177,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV121 @ SV165 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2052]) ).

thf(2180,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2055]) ).

thf(2182,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV222 @ SV266 )
              | $true )
          | ~ ( ~ ( SV13 @ SV222 @ SV266 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2057]) ).

thf(2183,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV222 @ SV266 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2057]) ).

thf(2184,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV166 @ SV223 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV166 @ SV223 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2058]) ).

thf(2186,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV122 @ SV167 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2060]) ).

thf(2189,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2063]) ).

thf(2191,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV224 @ SV267 )
              | $true )
          | ~ ( ~ ( SV13 @ SV224 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2065]) ).

thf(2192,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV224 @ SV267 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2065]) ).

thf(2193,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV168 @ SV225 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV168 @ SV225 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2066]) ).

thf(2195,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV123 @ SV169 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2068]) ).

thf(2198,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2071]) ).

thf(2200,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV226 @ SV268 )
              | $true )
          | ~ ( ~ ( SV13 @ SV226 @ SV268 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2073]) ).

thf(2201,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV226 @ SV268 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2073]) ).

thf(2202,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV170 @ SV227 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV170 @ SV227 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2074]) ).

thf(2204,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV124 @ SV171 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2076]) ).

thf(2207,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2079]) ).

thf(2209,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV228 @ SV269 )
              | $true )
          | ~ ( ~ ( SV13 @ SV228 @ SV269 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2081]) ).

thf(2210,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV228 @ SV269 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2081]) ).

thf(2211,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV172 @ SV229 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV172 @ SV229 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2082]) ).

thf(2213,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV125 @ SV173 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2084]) ).

thf(2216,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2087]) ).

thf(2218,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV230 @ SV270 )
              | $true )
          | ~ ( ~ ( SV13 @ SV230 @ SV270 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2219,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2220,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV282: $i] :
      ( ( ( ~ ~ ! [SY259: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV282 @ SY259 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2090]) ).

thf(2221,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV250: $i] :
      ( ( ( ! [SY249: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY249 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2091]) ).

thf(2222,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV174 @ SV231 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV174 @ SV231 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2092]) ).

thf(2223,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV283: $i] :
      ( ( ( ~ ~ ! [SY260: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV283 @ SY260 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2093]) ).

thf(2224,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV251: $i] :
      ( ( ( ! [SY250: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV251 @ SY250 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2094]) ).

thf(2225,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV271: $i,SV200: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV200 @ SV271 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2095]) ).

thf(2227,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV126 @ SV175 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2097]) ).

thf(2228,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV252: $i] :
      ( ( ( ! [SY251: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY251 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2098]) ).

thf(2229,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV272: $i,SV201: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV201 @ SV272 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2099]) ).

thf(2230,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ ( sK149_SY214 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2101]) ).

thf(2233,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2104]) ).

thf(2235,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV202 @ SV253 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV202 @ SV253 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2106]) ).

thf(2236,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV284: $i] :
      ( ( ( ~ ~ ! [SY261: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV284 @ SY261 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2107]) ).

thf(2237,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV254: $i] :
      ( ( ( ! [SY252: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV254 @ SY252 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2108]) ).

thf(2238,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV273: $i,SV203: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV203 @ SV273 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2109]) ).

thf(2240,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV149 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2110]) ).

thf(2241,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV255: $i] :
      ( ( ( ! [SY253: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV255 @ SY253 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2111]) ).

thf(2242,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV274: $i,SV205: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV205 @ SV274 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2112]) ).

thf(2245,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV113 @ SV151 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2115]) ).

thf(2247,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV275: $i,SV206: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV206 @ SV275 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2116]) ).

thf(2250,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
         != ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2120]) ).

thf(2252,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV236 @ SV276 )
              | $true )
          | ~ ( ~ ( SV13 @ SV236 @ SV276 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2122]) ).

thf(2253,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2122]) ).

thf(2254,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV285: $i] :
      ( ( ( ~ ~ ! [SY262: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV285 @ SY262 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2123]) ).

thf(2255,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV257: $i] :
      ( ( ( ! [SY254: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV257 @ SY254 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2124]) ).

thf(2256,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV179 @ SV237 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV179 @ SV237 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2125]) ).

thf(2257,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV286: $i] :
      ( ( ( ~ ~ ! [SY263: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV286 @ SY263 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2126]) ).

thf(2258,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV258: $i] :
      ( ( ( ! [SY255: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV258 @ SY255 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2127]) ).

thf(2259,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV277: $i,SV209: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV209 @ SV277 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2128]) ).

thf(2261,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV129 @ SV180 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2130]) ).

thf(2262,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV259: $i] :
      ( ( ( ! [SY256: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV259 @ SY256 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2131]) ).

thf(2263,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV278: $i,SV210: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV210 @ SV278 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2132]) ).

thf(2264,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ ( sK150_SY217 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2134]) ).

thf(2267,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2137]) ).

thf(2269,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV211 @ SV260 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV211 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2139]) ).

thf(2270,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV287: $i] :
      ( ( ( ~ ~ ! [SY264: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV287 @ SY264 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2140]) ).

thf(2271,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV261: $i] :
      ( ( ( ! [SY257: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV261 @ SY257 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2141]) ).

thf(2272,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV279: $i,SV212: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV212 @ SV279 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2142]) ).

thf(2274,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV156 @ SV213 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2143]) ).

thf(2275,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV262: $i] :
      ( ( ( ! [SY258: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV262 @ SY258 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2144]) ).

thf(2276,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV280: $i,SV214: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV214 @ SV280 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2145]) ).

thf(2279,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV117 @ SV158 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2148]) ).

thf(2281,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV281: $i,SV215: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV215 @ SV281 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2149]) ).

thf(2284,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2153]) ).

thf(2286,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV216 @ SV263 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV216 @ SV263 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2155]) ).

thf(2288,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV160 @ SV217 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2157]) ).

thf(2291,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV119 @ SV161 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2159]) ).

thf(2295,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2162]) ).

thf(2297,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV218 @ SV264 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV218 @ SV264 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2164]) ).

thf(2299,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV162 @ SV219 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2166]) ).

thf(2302,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV120 @ SV163 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2168]) ).

thf(2306,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2171]) ).

thf(2308,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV220 @ SV265 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV220 @ SV265 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2173]) ).

thf(2310,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV164 @ SV221 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2175]) ).

thf(2313,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV121 @ SV165 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2177]) ).

thf(2317,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2180]) ).

thf(2319,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV222 @ SV266 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV222 @ SV266 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2182]) ).

thf(2321,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV166 @ SV223 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2184]) ).

thf(2324,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV122 @ SV167 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2186]) ).

thf(2328,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2189]) ).

thf(2330,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV224 @ SV267 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV224 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2191]) ).

thf(2332,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV168 @ SV225 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2193]) ).

thf(2335,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV123 @ SV169 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2195]) ).

thf(2339,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2198]) ).

thf(2341,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV226 @ SV268 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV226 @ SV268 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2200]) ).

thf(2343,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV170 @ SV227 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2202]) ).

thf(2346,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV124 @ SV171 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2204]) ).

thf(2350,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2207]) ).

thf(2352,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV228 @ SV269 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV228 @ SV269 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2209]) ).

thf(2354,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV172 @ SV229 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2211]) ).

thf(2357,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV125 @ SV173 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2213]) ).

thf(2361,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2216]) ).

thf(2363,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV230 @ SV270 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV230 @ SV270 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2218]) ).

thf(2364,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2219]) ).

thf(2365,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV282: $i] :
      ( ( ( ~ ! [SY259: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV282 @ SY259 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2220]) ).

thf(2366,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV288: $i,SV250: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SV288 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2221]) ).

thf(2368,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV174 @ SV231 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2222]) ).

thf(2369,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV283: $i] :
      ( ( ( ~ ! [SY260: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV283 @ SY260 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2223]) ).

thf(2370,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV289: $i,SV251: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV251 @ SV289 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2224]) ).

thf(2371,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV271: $i,SV200: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV200 @ SV271 )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2225]) ).

thf(2374,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV126 @ SV175 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2227]) ).

thf(2376,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV290: $i,SV252: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SV290 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2377,plain,
    ! [SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV272: $i,SV201: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV201 @ SV272 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2229]) ).

thf(2382,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV293: $i] :
              ( ( SV13 @ SV293 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2233]) ).

thf(2383,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2233]) ).

thf(2386,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV202 @ SV253 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV202 @ SV253 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2235]) ).

thf(2387,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV284: $i] :
      ( ( ( ~ ! [SY261: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV284 @ SY261 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2236]) ).

thf(2388,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV295: $i,SV254: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV254 @ SV295 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2237]) ).

thf(2389,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV273: $i,SV203: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV203 @ SV273 )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2238]) ).

thf(2391,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV149 @ SV204 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2240]) ).

thf(2392,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV296: $i,SV255: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV255 @ SV296 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2241]) ).

thf(2393,plain,
    ! [SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV274: $i,SV205: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV205 @ SV274 )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2242]) ).

thf(2396,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV151: $i,SV113: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV113 @ SV151 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2245]) ).

thf(2398,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV275: $i,SV206: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV206 @ SV275 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV113 @ SV151 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2247]) ).

thf(2401,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2250]) ).

thf(2403,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV236 @ SV276 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV236 @ SV276 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2252]) ).

thf(2404,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2253]) ).

thf(2405,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV285: $i] :
      ( ( ( ~ ! [SY262: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV285 @ SY262 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2254]) ).

thf(2406,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV297: $i,SV257: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV257 @ SV297 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2408,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV179 @ SV237 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2256]) ).

thf(2409,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV286: $i] :
      ( ( ( ~ ! [SY263: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV286 @ SY263 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2257]) ).

thf(2410,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV298: $i,SV258: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV258 @ SV298 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2258]) ).

thf(2411,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV277: $i,SV209: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV209 @ SV277 )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2259]) ).

thf(2414,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV129 @ SV180 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2261]) ).

thf(2416,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV299: $i,SV259: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV259 @ SV299 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2262]) ).

thf(2417,plain,
    ! [SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV278: $i,SV210: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV210 @ SV278 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2263]) ).

thf(2422,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV302: $i] :
              ( ( SV13 @ SV302 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2267]) ).

thf(2423,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2267]) ).

thf(2426,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV211 @ SV260 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV211 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2269]) ).

thf(2427,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV287: $i] :
      ( ( ( ~ ! [SY264: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV287 @ SY264 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2270]) ).

thf(2428,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV304: $i,SV261: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV261 @ SV304 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2429,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV279: $i,SV212: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV212 @ SV279 )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2272]) ).

thf(2431,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV156 @ SV213 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2274]) ).

thf(2432,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV305: $i,SV262: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV262 @ SV305 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2275]) ).

thf(2433,plain,
    ! [SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV280: $i,SV214: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV214 @ SV280 )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2276]) ).

thf(2436,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV158: $i,SV117: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV117 @ SV158 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2279]) ).

thf(2438,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV281: $i,SV215: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV215 @ SV281 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV117 @ SV158 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2281]) ).

thf(2443,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV308: $i] :
              ( ( SV13 @ SV308 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2284]) ).

thf(2444,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2284]) ).

thf(2447,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV216 @ SV263 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV216 @ SV263 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2286]) ).

thf(2449,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV160 @ SV217 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2288]) ).

thf(2452,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV119 @ SV161 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2291]) ).

thf(2458,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV312: $i] :
              ( ( SV13 @ SV312 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2295]) ).

thf(2459,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2295]) ).

thf(2462,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV218 @ SV264 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV218 @ SV264 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2297]) ).

thf(2464,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV162 @ SV219 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2299]) ).

thf(2467,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV120 @ SV163 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2302]) ).

thf(2473,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV316: $i] :
              ( ( SV13 @ SV316 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2306]) ).

thf(2474,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2306]) ).

thf(2477,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV220 @ SV265 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV220 @ SV265 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2308]) ).

thf(2479,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV164 @ SV221 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2310]) ).

thf(2482,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV121 @ SV165 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2313]) ).

thf(2488,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV320: $i] :
              ( ( SV13 @ SV320 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2317]) ).

thf(2489,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2317]) ).

thf(2492,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV222 @ SV266 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV222 @ SV266 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2319]) ).

thf(2494,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV166 @ SV223 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2321]) ).

thf(2497,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV122 @ SV167 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2324]) ).

thf(2503,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV324: $i] :
              ( ( SV13 @ SV324 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2328]) ).

thf(2504,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2328]) ).

thf(2507,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV224 @ SV267 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV224 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2330]) ).

thf(2509,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV168 @ SV225 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2332]) ).

thf(2512,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV123 @ SV169 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2335]) ).

thf(2518,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV328: $i] :
              ( ( SV13 @ SV328 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2339]) ).

thf(2519,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2339]) ).

thf(2522,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV226 @ SV268 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV226 @ SV268 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2341]) ).

thf(2524,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV170 @ SV227 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2343]) ).

thf(2527,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV124 @ SV171 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2346]) ).

thf(2533,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV332: $i] :
              ( ( SV13 @ SV332 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2350]) ).

thf(2534,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2350]) ).

thf(2537,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV228 @ SV269 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV228 @ SV269 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2352]) ).

thf(2539,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV172 @ SV229 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2354]) ).

thf(2542,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV125 @ SV173 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2357]) ).

thf(2548,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV336: $i] :
              ( ( SV13 @ SV336 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2361]) ).

thf(2549,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2361]) ).

thf(2552,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV230 @ SV270 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV230 @ SV270 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2363]) ).

thf(2553,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV338: $i] :
      ( ( ( ~ ~ ! [SY305: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV338 @ SY305 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2364]) ).

thf(2554,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV282: $i] :
      ( ( ( ! [SY259: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV282 @ SY259 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2365]) ).

thf(2555,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV288: $i,SV250: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV250 @ SV288 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2366]) ).

thf(2557,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV174 @ SV231 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2368]) ).

thf(2558,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV283: $i] :
      ( ( ( ! [SY260: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV283 @ SY260 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2369]) ).

thf(2559,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV289: $i,SV251: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV251 @ SV289 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2370]) ).

thf(2562,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV175: $i,SV126: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV126 @ SV175 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2374]) ).

thf(2564,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV290: $i,SV252: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV252 @ SV290 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2376]) ).

thf(2569,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2382]) ).

thf(2570,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV344: $i] :
      ( ( ( ~ ~ ! [SY311: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV344 @ SY311 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2383]) ).

thf(2574,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV202 @ SV253 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2386]) ).

thf(2575,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV284: $i] :
      ( ( ( ! [SY261: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV284 @ SY261 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2387]) ).

thf(2576,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV295: $i,SV254: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV254 @ SV295 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2388]) ).

thf(2579,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV149 @ SV204 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2391]) ).

thf(2581,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV296: $i,SV255: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV255 @ SV296 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2392]) ).

thf(2584,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV349: $i] :
      ( ( ( ~ ~ ! [SY316: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV349 @ SY316 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2396]) ).

thf(2590,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV353: $i] :
              ( ( SV13 @ SV353 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2401]) ).

thf(2591,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2401]) ).

thf(2594,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV236 @ SV276 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV236 @ SV276 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2403]) ).

thf(2595,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV355: $i] :
      ( ( ( ~ ~ ! [SY322: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV355 @ SY322 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2404]) ).

thf(2596,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV285: $i] :
      ( ( ( ! [SY262: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV285 @ SY262 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2405]) ).

thf(2597,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV297: $i,SV257: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV257 @ SV297 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2406]) ).

thf(2599,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV179 @ SV237 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2408]) ).

thf(2600,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV286: $i] :
      ( ( ( ! [SY263: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV286 @ SY263 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2409]) ).

thf(2601,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV298: $i,SV258: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV258 @ SV298 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2604,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV180: $i,SV129: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV129 @ SV180 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2414]) ).

thf(2606,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV299: $i,SV259: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV259 @ SV299 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2416]) ).

thf(2611,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2422]) ).

thf(2612,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV361: $i] :
      ( ( ( ~ ~ ! [SY328: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV361 @ SY328 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2423]) ).

thf(2616,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV211 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2426]) ).

thf(2617,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV287: $i] :
      ( ( ( ! [SY264: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV287 @ SY264 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2427]) ).

thf(2618,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV304: $i,SV261: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV261 @ SV304 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2428]) ).

thf(2621,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV156 @ SV213 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2431]) ).

thf(2623,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV305: $i,SV262: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV262 @ SV305 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2432]) ).

thf(2626,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV366: $i] :
      ( ( ( ~ ~ ! [SY333: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV366 @ SY333 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2436]) ).

thf(2630,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2443]) ).

thf(2633,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV216 @ SV263 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2447]) ).

thf(2636,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV160 @ SV217 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2449]) ).

thf(2640,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2458]) ).

thf(2643,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV218 @ SV264 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2462]) ).

thf(2646,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV162 @ SV219 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2464]) ).

thf(2650,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2473]) ).

thf(2653,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV220 @ SV265 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2477]) ).

thf(2656,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV164 @ SV221 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2660,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2488]) ).

thf(2663,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV222 @ SV266 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2492]) ).

thf(2666,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV166 @ SV223 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2494]) ).

thf(2670,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2503]) ).

thf(2673,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV224 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2676,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV168 @ SV225 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2509]) ).

thf(2680,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2518]) ).

thf(2683,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV226 @ SV268 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2522]) ).

thf(2686,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV170 @ SV227 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2524]) ).

thf(2690,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2533]) ).

thf(2693,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV228 @ SV269 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2537]) ).

thf(2696,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV172 @ SV229 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2539]) ).

thf(2702,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2548]) ).

thf(2703,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2549]) ).

thf(2707,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV230 @ SV270 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2552]) ).

thf(2708,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV338: $i] :
      ( ( ( ~ ! [SY305: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV338 @ SY305 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2553]) ).

thf(2709,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV400: $i,SV282: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV282 @ SV400 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2554]) ).

thf(2710,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV288: $i,SV250: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV250 @ SV288 )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2555]) ).

thf(2713,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV174 @ SV231 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2557]) ).

thf(2715,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV401: $i,SV283: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV283 @ SV401 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2558]) ).

thf(2716,plain,
    ! [SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV289: $i,SV251: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV251 @ SV289 )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2559]) ).

thf(2719,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2562]) ).

thf(2721,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV290: $i,SV252: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV252 @ SV290 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV126 @ SV175 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2564]) ).

thf(2728,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV404: $i] :
              ( ( SV13 @ SV343 @ SV404 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2569]) ).

thf(2729,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2569]) ).

thf(2730,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV344: $i] :
      ( ( ( ~ ! [SY311: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV344 @ SY311 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2570]) ).

thf(2735,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV202 @ SV253 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2574]) ).

thf(2736,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV406: $i,SV284: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV284 @ SV406 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2575]) ).

thf(2737,plain,
    ! [SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV295: $i,SV254: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV254 @ SV295 )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2576]) ).

thf(2740,plain,
    ! [SV70: $i,SV15: $i > $i > $o,SV14: $i,SV204: $i,SV149: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV149 @ SV204 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2579]) ).

thf(2742,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV296: $i,SV255: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV255 @ SV296 )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV149 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2581]) ).

thf(2745,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV349: $i] :
      ( ( ( ~ ! [SY316: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV349 @ SY316 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2584]) ).

thf(2751,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2590]) ).

thf(2752,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2591]) ).

thf(2756,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV236 @ SV276 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2594]) ).

thf(2757,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV355: $i] :
      ( ( ( ~ ! [SY322: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV355 @ SY322 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2595]) ).

thf(2758,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV411: $i,SV285: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV285 @ SV411 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2596]) ).

thf(2759,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV297: $i,SV257: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV257 @ SV297 )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2597]) ).

thf(2762,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV179 @ SV237 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2599]) ).

thf(2764,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV412: $i,SV286: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV286 @ SV412 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2600]) ).

thf(2765,plain,
    ! [SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV298: $i,SV258: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV258 @ SV298 )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2601]) ).

thf(2768,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2604]) ).

thf(2770,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV299: $i,SV259: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV259 @ SV299 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV129 @ SV180 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2606]) ).

thf(2777,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV415: $i] :
              ( ( SV13 @ SV360 @ SV415 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2611]) ).

thf(2778,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2611]) ).

thf(2779,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV361: $i] :
      ( ( ( ~ ! [SY328: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV361 @ SY328 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2612]) ).

thf(2784,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV211 @ SV260 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2616]) ).

thf(2785,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV417: $i,SV287: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV287 @ SV417 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2617]) ).

thf(2786,plain,
    ! [SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV304: $i,SV261: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV261 @ SV304 )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2618]) ).

thf(2789,plain,
    ! [SV72: $i,SV15: $i > $i > $o,SV14: $i,SV213: $i,SV156: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV156 @ SV213 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2621]) ).

thf(2791,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV305: $i,SV262: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV262 @ SV305 )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV156 @ SV213 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2623]) ).

thf(2794,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV366: $i] :
      ( ( ( ~ ! [SY333: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV366 @ SY333 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2626]) ).

thf(2800,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV420: $i] :
              ( ( SV13 @ SV370 @ SV420 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2630]) ).

thf(2801,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2630]) ).

thf(2805,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV216 @ SV263 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2633]) ).

thf(2808,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV160 @ SV217 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2636]) ).

thf(2814,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV424: $i] :
              ( ( SV13 @ SV374 @ SV424 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2640]) ).

thf(2815,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2640]) ).

thf(2819,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV218 @ SV264 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2643]) ).

thf(2822,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV162 @ SV219 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2646]) ).

thf(2828,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV428: $i] :
              ( ( SV13 @ SV378 @ SV428 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2829,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2833,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV220 @ SV265 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2653]) ).

thf(2836,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV164 @ SV221 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2656]) ).

thf(2842,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV432: $i] :
              ( ( SV13 @ SV382 @ SV432 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2660]) ).

thf(2843,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2660]) ).

thf(2847,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV222 @ SV266 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2663]) ).

thf(2850,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV166 @ SV223 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2666]) ).

thf(2856,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV436: $i] :
              ( ( SV13 @ SV386 @ SV436 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2670]) ).

thf(2857,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2670]) ).

thf(2861,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV224 @ SV267 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2864,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV168 @ SV225 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2676]) ).

thf(2870,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV440: $i] :
              ( ( SV13 @ SV390 @ SV440 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2680]) ).

thf(2871,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2680]) ).

thf(2875,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV226 @ SV268 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(2878,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV170 @ SV227 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2686]) ).

thf(2884,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV444: $i] :
              ( ( SV13 @ SV394 @ SV444 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2690]) ).

thf(2885,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2690]) ).

thf(2889,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV228 @ SV269 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2693]) ).

thf(2892,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV172 @ SV229 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2696]) ).

thf(2900,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV450: $i] :
              ( ( SV13 @ SV398 @ SV450 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2702]) ).

thf(2901,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2702]) ).

thf(2902,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV451: $i] :
      ( ( ( ~ ~ ! [SY373: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV451 @ SY373 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2703]) ).

thf(2907,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV230 @ SV270 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2707]) ).

thf(2908,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV338: $i] :
      ( ( ( ! [SY305: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV338 @ SY305 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2708]) ).

thf(2909,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV400: $i,SV282: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV282 @ SV400 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2709]) ).

thf(2912,plain,
    ! [SV80: $i,SV15: $i > $i > $o,SV14: $i,SV231: $i,SV174: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV174 @ SV231 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2713]) ).

thf(2914,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV401: $i,SV283: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV283 @ SV401 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2715]) ).

thf(2917,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV456: $i] :
      ( ( ( ~ ~ ! [SY377: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV456 @ SY377 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2719]) ).

thf(2925,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2728]) ).

thf(2926,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV463: $i] :
      ( ( ( ~ ~ ! [SY381: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV463 @ SY381 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2729]) ).

thf(2927,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV344: $i] :
      ( ( ( ! [SY311: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV344 @ SY311 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2730]) ).

thf(2933,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV202 @ SV253 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2735]) ).

thf(2935,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV406: $i,SV284: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV284 @ SV406 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2736]) ).

thf(2938,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV468: $i] :
      ( ( ( ~ ~ ! [SY385: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV468 @ SY385 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2740]) ).

thf(2942,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV349: $i] :
      ( ( ( ! [SY316: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV349 @ SY316 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2745]) ).

thf(2950,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SV474: $i] :
              ( ( SV13 @ SV409 @ SV474 )
              = $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(2951,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(2952,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV475: $i] :
      ( ( ( ~ ~ ! [SY389: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV475 @ SY389 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2752]) ).

thf(2957,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV236 @ SV276 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(2958,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV355: $i] :
      ( ( ( ! [SY322: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV355 @ SY322 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2757]) ).

thf(2959,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV411: $i,SV285: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV285 @ SV411 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2758]) ).

thf(2962,plain,
    ! [SV82: $i,SV15: $i > $i > $o,SV14: $i,SV237: $i,SV179: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV179 @ SV237 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2762]) ).

thf(2964,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV412: $i,SV286: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV286 @ SV412 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2764]) ).

thf(2967,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV480: $i] :
      ( ( ( ~ ~ ! [SY393: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV480 @ SY393 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2768]) ).

thf(2975,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2777]) ).

thf(2976,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV487: $i] :
      ( ( ( ~ ~ ! [SY397: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV487 @ SY397 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2778]) ).

thf(2977,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV361: $i] :
      ( ( ( ! [SY328: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV361 @ SY328 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2779]) ).

thf(2983,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV211 @ SV260 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2784]) ).

thf(2985,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV417: $i,SV287: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV287 @ SV417 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2785]) ).

thf(2988,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV492: $i] :
      ( ( ( ~ ~ ! [SY401: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV492 @ SY401 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2789]) ).

thf(2992,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV366: $i] :
      ( ( ( ! [SY333: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV366 @ SY333 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2794]) ).

thf(2996,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 @ SV496 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2800]) ).

thf(3000,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV216 @ SV263 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2805]) ).

thf(3004,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 @ SV500 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2814]) ).

thf(3008,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV218 @ SV264 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2819]) ).

thf(3012,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 @ SV504 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2828]) ).

thf(3016,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV220 @ SV265 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2833]) ).

thf(3020,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 @ SV508 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2842]) ).

thf(3024,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV222 @ SV266 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2847]) ).

thf(3028,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 @ SV512 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2856]) ).

thf(3032,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV224 @ SV267 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2861]) ).

thf(3036,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 @ SV516 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2870]) ).

thf(3040,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV226 @ SV268 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2875]) ).

thf(3044,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 @ SV520 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2884]) ).

thf(3048,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV228 @ SV269 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2889]) ).

thf(3056,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2900]) ).

thf(3057,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2901]) ).

thf(3058,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV451: $i] :
      ( ( ( ~ ! [SY373: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV451 @ SY373 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2902]) ).

thf(3064,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV230 @ SV270 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2907]) ).

thf(3066,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV526: $i,SV338: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV338 @ SV526 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2908]) ).

thf(3067,plain,
    ! [SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV400: $i,SV282: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV282 @ SV400 )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2909]) ).

thf(3070,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2912]) ).

thf(3072,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV401: $i,SV283: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV283 @ SV401 )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV174 @ SV231 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2914]) ).

thf(3075,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV456: $i] :
      ( ( ( ~ ! [SY377: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV456 @ SY377 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2917]) ).

thf(3085,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV343 @ SV462 )
              | $true )
          | ~ ( ~ ( SV13 @ SV343 @ SV462 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2925]) ).

thf(3086,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2925]) ).

thf(3087,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV463: $i] :
      ( ( ( ~ ! [SY381: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV463 @ SY381 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2926]) ).

thf(3088,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV529: $i,SV344: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV344 @ SV529 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2927]) ).

thf(3095,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV253: $i,SV202: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV202 @ SV253 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2933]) ).

thf(3097,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV406: $i,SV284: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV284 @ SV406 )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV202 @ SV253 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2935]) ).

thf(3100,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV468: $i] :
      ( ( ( ~ ! [SY385: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV468 @ SY385 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2938]) ).

thf(3104,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV533: $i,SV349: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV349 @ SV533 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2942]) ).

thf(3112,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2950]) ).

thf(3113,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2951]) ).

thf(3114,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV475: $i] :
      ( ( ( ~ ! [SY389: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV475 @ SY389 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2952]) ).

thf(3120,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV236 @ SV276 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2957]) ).

thf(3122,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV539: $i,SV355: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV355 @ SV539 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2958]) ).

thf(3123,plain,
    ! [SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV411: $i,SV285: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV285 @ SV411 )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2959]) ).

thf(3126,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2962]) ).

thf(3128,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV412: $i,SV286: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV286 @ SV412 )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV179 @ SV237 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2964]) ).

thf(3131,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV480: $i] :
      ( ( ( ~ ! [SY393: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV480 @ SY393 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2967]) ).

thf(3141,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV360 @ SV486 )
              | $true )
          | ~ ( ~ ( SV13 @ SV360 @ SV486 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2975]) ).

thf(3142,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2975]) ).

thf(3143,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV487: $i] :
      ( ( ( ~ ! [SY397: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV487 @ SY397 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2976]) ).

thf(3144,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV542: $i,SV361: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV361 @ SV542 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2977]) ).

thf(3151,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV260: $i,SV211: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV211 @ SV260 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2983]) ).

thf(3153,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV417: $i,SV287: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV287 @ SV417 )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV211 @ SV260 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2985]) ).

thf(3156,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV492: $i] :
      ( ( ( ~ ! [SY401: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV492 @ SY401 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2988]) ).

thf(3160,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV546: $i,SV366: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV366 @ SV546 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2992]) ).

thf(3166,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV370 @ SV496 )
              | $true )
          | ~ ( ~ ( SV13 @ SV370 @ SV496 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2996]) ).

thf(3167,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 @ SV496 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2996]) ).

thf(3172,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV216 @ SV263 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3000]) ).

thf(3178,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV374 @ SV500 )
              | $true )
          | ~ ( ~ ( SV13 @ SV374 @ SV500 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3004]) ).

thf(3179,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 @ SV500 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3004]) ).

thf(3184,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV218 @ SV264 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3008]) ).

thf(3190,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV378 @ SV504 )
              | $true )
          | ~ ( ~ ( SV13 @ SV378 @ SV504 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3012]) ).

thf(3191,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 @ SV504 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3012]) ).

thf(3196,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV220 @ SV265 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3016]) ).

thf(3202,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV382 @ SV508 )
              | $true )
          | ~ ( ~ ( SV13 @ SV382 @ SV508 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3020]) ).

thf(3203,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 @ SV508 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3020]) ).

thf(3208,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV222 @ SV266 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3024]) ).

thf(3214,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV386 @ SV512 )
              | $true )
          | ~ ( ~ ( SV13 @ SV386 @ SV512 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3028]) ).

thf(3215,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 @ SV512 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3028]) ).

thf(3220,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV224 @ SV267 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3032]) ).

thf(3226,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV390 @ SV516 )
              | $true )
          | ~ ( ~ ( SV13 @ SV390 @ SV516 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3036]) ).

thf(3227,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 @ SV516 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3036]) ).

thf(3232,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV226 @ SV268 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3040]) ).

thf(3238,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV394 @ SV520 )
              | $true )
          | ~ ( ~ ( SV13 @ SV394 @ SV520 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3044]) ).

thf(3239,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 @ SV520 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3044]) ).

thf(3244,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV228 @ SV269 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3048]) ).

thf(3254,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV398 @ SV524 )
              | $true )
          | ~ ( ~ ( SV13 @ SV398 @ SV524 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3056]) ).

thf(3255,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3056]) ).

thf(3256,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV550: $i] :
      ( ( ( ~ ~ ! [SY405: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV550 @ SY405 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3057]) ).

thf(3257,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV451: $i] :
      ( ( ( ! [SY373: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV451 @ SY373 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3058]) ).

thf(3264,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV270: $i,SV230: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV230 @ SV270 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3064]) ).

thf(3266,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV526: $i,SV338: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV338 @ SV526 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3066]) ).

thf(3269,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV554: $i] :
      ( ( ( ~ ~ ! [SY409: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV554 @ SY409 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3070]) ).

thf(3273,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV456: $i] :
      ( ( ( ! [SY377: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV456 @ SY377 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3075]) ).

thf(3283,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV343 @ SV462 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV343 @ SV462 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3085]) ).

thf(3284,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV558: $i] :
      ( ( ( ~ ~ ! [SY413: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV558 @ SY413 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3086]) ).

thf(3285,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV463: $i] :
      ( ( ( ! [SY381: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV463 @ SY381 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3087]) ).

thf(3286,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV529: $i,SV344: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV344 @ SV529 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3088]) ).

thf(3293,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV562: $i] :
      ( ( ( ~ ~ ! [SY417: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV562 @ SY417 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3095]) ).

thf(3297,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV468: $i] :
      ( ( ( ! [SY385: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV468 @ SY385 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3100]) ).

thf(3301,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV533: $i,SV349: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV349 @ SV533 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3104]) ).

thf(3311,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV409 @ SV537 )
              | $true )
          | ~ ( ~ ( SV13 @ SV409 @ SV537 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3112]) ).

thf(3312,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3112]) ).

thf(3313,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV566: $i] :
      ( ( ( ~ ~ ! [SY421: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV566 @ SY421 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3113]) ).

thf(3314,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV475: $i] :
      ( ( ( ! [SY389: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV475 @ SY389 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3114]) ).

thf(3321,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV276: $i,SV236: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV236 @ SV276 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3120]) ).

thf(3323,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV539: $i,SV355: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV355 @ SV539 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3122]) ).

thf(3326,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV570: $i] :
      ( ( ( ~ ~ ! [SY425: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV570 @ SY425 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3126]) ).

thf(3330,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV480: $i] :
      ( ( ( ! [SY393: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV480 @ SY393 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3131]) ).

thf(3340,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV360 @ SV486 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV360 @ SV486 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3141]) ).

thf(3341,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV574: $i] :
      ( ( ( ~ ~ ! [SY429: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV574 @ SY429 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3142]) ).

thf(3342,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV487: $i] :
      ( ( ( ! [SY397: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV487 @ SY397 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3143]) ).

thf(3343,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV542: $i,SV361: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV361 @ SV542 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3144]) ).

thf(3350,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV578: $i] :
      ( ( ( ~ ~ ! [SY433: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV578 @ SY433 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3151]) ).

thf(3354,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV492: $i] :
      ( ( ( ! [SY401: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV492 @ SY401 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3156]) ).

thf(3358,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV546: $i,SV366: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV366 @ SV546 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3160]) ).

thf(3362,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV370 @ SV496 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV370 @ SV496 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3166]) ).

thf(3366,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV374 @ SV500 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV374 @ SV500 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3178]) ).

thf(3370,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV378 @ SV504 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV378 @ SV504 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3190]) ).

thf(3374,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV382 @ SV508 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV382 @ SV508 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3202]) ).

thf(3378,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV386 @ SV512 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV386 @ SV512 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3214]) ).

thf(3382,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV390 @ SV516 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV390 @ SV516 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3226]) ).

thf(3386,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV394 @ SV520 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV394 @ SV520 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3238]) ).

thf(3396,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV398 @ SV524 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV398 @ SV524 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3254]) ).

thf(3397,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3255]) ).

thf(3398,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV550: $i] :
      ( ( ( ~ ! [SY405: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV550 @ SY405 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3256]) ).

thf(3399,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV582: $i,SV451: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV451 @ SV582 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3257]) ).

thf(3406,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3264]) ).

thf(3408,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV526: $i,SV338: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV338 @ SV526 )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV230 @ SV270 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3266]) ).

thf(3411,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV554: $i] :
      ( ( ( ~ ! [SY409: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV554 @ SY409 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3269]) ).

thf(3415,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV586: $i,SV456: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV456 @ SV586 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3273]) ).

thf(3425,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV343 @ SV462 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV343 @ SV462 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3283]) ).

thf(3426,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV558: $i] :
      ( ( ( ~ ! [SY413: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV558 @ SY413 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3284]) ).

thf(3427,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV590: $i,SV463: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV463 @ SV590 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3285]) ).

thf(3428,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV529: $i,SV344: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV344 @ SV529 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3286]) ).

thf(3435,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV562: $i] :
      ( ( ( ~ ! [SY417: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV562 @ SY417 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3293]) ).

thf(3439,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV594: $i,SV468: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV468 @ SV594 ) )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3297]) ).

thf(3443,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV533: $i,SV349: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV349 @ SV533 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3301]) ).

thf(3453,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( ( SV13 @ SV409 @ SV537 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV13 @ SV409 @ SV537 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3311]) ).

thf(3454,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3312]) ).

thf(3455,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV566: $i] :
      ( ( ( ~ ! [SY421: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV566 @ SY421 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3313]) ).

thf(3456,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV598: $i,SV475: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV475 @ SV598 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3314]) ).

thf(3463,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3321]) ).

thf(3465,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV539: $i,SV355: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV355 @ SV539 )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV236 @ SV276 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3323]) ).

thf(3468,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV570: $i] :
      ( ( ( ~ ! [SY425: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV570 @ SY425 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3326]) ).

thf(3472,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV602: $i,SV480: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV480 @ SV602 ) )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3330]) ).

thf(3482,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV360 @ SV486 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV360 @ SV486 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3340]) ).

thf(3483,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV574: $i] :
      ( ( ( ~ ! [SY429: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV574 @ SY429 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3341]) ).

thf(3484,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV606: $i,SV487: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV487 @ SV606 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3342]) ).

thf(3485,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV542: $i,SV361: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV361 @ SV542 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3343]) ).

thf(3492,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV578: $i] :
      ( ( ( ~ ! [SY433: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV578 @ SY433 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3350]) ).

thf(3496,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV610: $i,SV492: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV492 @ SV610 ) )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3354]) ).

thf(3500,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV546: $i,SV366: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV366 @ SV546 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3358]) ).

thf(3504,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 @ SV496 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV370 @ SV496 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3362]) ).

thf(3508,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 @ SV500 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV374 @ SV500 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3366]) ).

thf(3512,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 @ SV504 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV378 @ SV504 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3370]) ).

thf(3516,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 @ SV508 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV382 @ SV508 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3374]) ).

thf(3520,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 @ SV512 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV386 @ SV512 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3378]) ).

thf(3524,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 @ SV516 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV390 @ SV516 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3382]) ).

thf(3528,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 @ SV520 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV394 @ SV520 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3386]) ).

thf(3538,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV398 @ SV524 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV398 @ SV524 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3396]) ).

thf(3539,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV614: $i] :
      ( ( ( ~ ~ ! [SY437: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV614 @ SY437 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3397]) ).

thf(3540,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV550: $i] :
      ( ( ( ! [SY405: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV550 @ SY405 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3398]) ).

thf(3541,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV582: $i,SV451: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV451 @ SV582 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3399]) ).

thf(3548,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV618: $i] :
      ( ( ( ~ ~ ! [SY441: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV618 @ SY441 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3406]) ).

thf(3552,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV554: $i] :
      ( ( ( ! [SY409: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV554 @ SY409 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3411]) ).

thf(3556,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV586: $i,SV456: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV456 @ SV586 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3415]) ).

thf(3567,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV343 @ SV462 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3425]) ).

thf(3568,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV558: $i] :
      ( ( ( ! [SY413: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV558 @ SY413 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3426]) ).

thf(3569,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV590: $i,SV463: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV463 @ SV590 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3427]) ).

thf(3576,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV562: $i] :
      ( ( ( ! [SY417: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV562 @ SY417 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3435]) ).

thf(3580,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV594: $i,SV468: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV468 @ SV594 ) )
        = $false )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3439]) ).

thf(3590,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV409 @ SV537 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV13 @ SV409 @ SV537 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3453]) ).

thf(3591,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV622: $i] :
      ( ( ( ~ ~ ! [SY445: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV622 @ SY445 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3454]) ).

thf(3592,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV566: $i] :
      ( ( ( ! [SY421: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV566 @ SY421 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3455]) ).

thf(3593,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV598: $i,SV475: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV475 @ SV598 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3456]) ).

thf(3600,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV626: $i] :
      ( ( ( ~ ~ ! [SY449: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV626 @ SY449 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3463]) ).

thf(3604,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV570: $i] :
      ( ( ( ! [SY425: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV570 @ SY425 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3468]) ).

thf(3608,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV602: $i,SV480: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV480 @ SV602 ) )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3472]) ).

thf(3619,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV360 @ SV486 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3482]) ).

thf(3620,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV574: $i] :
      ( ( ( ! [SY429: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV574 @ SY429 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3483]) ).

thf(3621,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV606: $i,SV487: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV487 @ SV606 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3484]) ).

thf(3628,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV578: $i] :
      ( ( ( ! [SY433: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV578 @ SY433 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3492]) ).

thf(3632,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV610: $i,SV492: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV492 @ SV610 ) )
        = $false )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3496]) ).

thf(3639,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV370 @ SV496 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3504]) ).

thf(3647,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV374 @ SV500 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3508]) ).

thf(3655,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV378 @ SV504 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3512]) ).

thf(3663,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV382 @ SV508 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3516]) ).

thf(3671,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV386 @ SV512 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3520]) ).

thf(3679,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV390 @ SV516 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3524]) ).

thf(3687,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV394 @ SV520 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3528]) ).

thf(3701,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV398 @ SV524 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3538]) ).

thf(3702,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV614: $i] :
      ( ( ( ~ ! [SY437: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV614 @ SY437 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3539]) ).

thf(3703,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV630: $i,SV550: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV550 @ SV630 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3540]) ).

thf(3704,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV582: $i,SV451: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV451 @ SV582 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3541]) ).

thf(3712,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV618: $i] :
      ( ( ( ~ ! [SY441: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV618 @ SY441 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3548]) ).

thf(3716,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV634: $i,SV554: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV554 @ SV634 ) )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3552]) ).

thf(3720,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV586: $i,SV456: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV456 @ SV586 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3556]) ).

thf(3731,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV343 @ SV462 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3567]) ).

thf(3732,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV638: $i,SV558: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV558 @ SV638 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3568]) ).

thf(3733,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV590: $i,SV463: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV463 @ SV590 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3569]) ).

thf(3740,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV642: $i,SV562: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV562 @ SV642 ) )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3576]) ).

thf(3744,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV594: $i,SV468: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV468 @ SV594 )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3580]) ).

thf(3757,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV13 @ SV409 @ SV537 )
              | ~ $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3590]) ).

thf(3758,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV622: $i] :
      ( ( ( ~ ! [SY445: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV622 @ SY445 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3591]) ).

thf(3759,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV646: $i,SV566: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV566 @ SV646 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3592]) ).

thf(3760,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV598: $i,SV475: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV475 @ SV598 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3593]) ).

thf(3768,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV626: $i] :
      ( ( ( ~ ! [SY449: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV626 @ SY449 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3600]) ).

thf(3772,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV650: $i,SV570: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV570 @ SV650 ) )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3604]) ).

thf(3776,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV602: $i,SV480: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV480 @ SV602 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3608]) ).

thf(3787,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV360 @ SV486 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3619]) ).

thf(3788,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV654: $i,SV574: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV574 @ SV654 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3620]) ).

thf(3789,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV606: $i,SV487: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV487 @ SV606 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3621]) ).

thf(3796,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV658: $i,SV578: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV578 @ SV658 ) )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3628]) ).

thf(3800,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV610: $i,SV492: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV492 @ SV610 )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3632]) ).

thf(3807,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV370 @ SV496 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3639]) ).

thf(3815,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV374 @ SV500 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3647]) ).

thf(3823,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV378 @ SV504 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3655]) ).

thf(3831,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV382 @ SV508 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3663]) ).

thf(3839,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV386 @ SV512 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3671]) ).

thf(3847,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV390 @ SV516 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3679]) ).

thf(3855,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV394 @ SV520 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3687]) ).

thf(3867,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV398 @ SV524 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3701]) ).

thf(3868,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV614: $i] :
      ( ( ( ! [SY437: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV614 @ SY437 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3702]) ).

thf(3869,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV630: $i,SV550: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV550 @ SV630 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3703]) ).

thf(3876,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV618: $i] :
      ( ( ( ! [SY441: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV618 @ SY441 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3712]) ).

thf(3880,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV634: $i,SV554: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV554 @ SV634 ) )
        = $false )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3716]) ).

thf(3894,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV343 @ SV462 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3731]) ).

thf(3896,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV638: $i,SV558: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV558 @ SV638 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3732]) ).

thf(3904,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV642: $i,SV562: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV562 @ SV642 ) )
        = $false )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3740]) ).

thf(3915,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV409 @ SV537 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3757]) ).

thf(3916,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV622: $i] :
      ( ( ( ! [SY445: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV622 @ SY445 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3758]) ).

thf(3917,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV646: $i,SV566: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV566 @ SV646 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3759]) ).

thf(3924,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV626: $i] :
      ( ( ( ! [SY449: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV626 @ SY449 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3768]) ).

thf(3928,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV650: $i,SV570: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV570 @ SV650 ) )
        = $false )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3772]) ).

thf(3942,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV360 @ SV486 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3787]) ).

thf(3944,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV654: $i,SV574: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV574 @ SV654 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3788]) ).

thf(3952,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV658: $i,SV578: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV578 @ SV658 ) )
        = $false )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3796]) ).

thf(3964,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV370 @ SV496 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3807]) ).

thf(3980,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV374 @ SV500 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3815]) ).

thf(3996,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV378 @ SV504 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3823]) ).

thf(4012,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV382 @ SV508 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3831]) ).

thf(4028,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV386 @ SV512 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3839]) ).

thf(4044,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV390 @ SV516 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3847]) ).

thf(4060,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV394 @ SV520 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3855]) ).

thf(4080,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV398 @ SV524 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3867]) ).

thf(4082,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV662: $i,SV614: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV614 @ SV662 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3868]) ).

thf(4083,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV630: $i,SV550: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV550 @ SV630 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3869]) ).

thf(4092,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV666: $i,SV618: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV618 @ SV666 ) )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3876]) ).

thf(4096,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV634: $i,SV554: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV554 @ SV634 )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3880]) ).

thf(4110,plain,
    ! [SV92: $i,SV70: $i,SV15: $i > $i > $o,SV14: $i,SV462: $i,SV343: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV343 @ SV462 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3894]) ).

thf(4112,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV638: $i,SV558: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV558 @ SV638 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3896]) ).

thf(4120,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV642: $i,SV562: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV562 @ SV642 )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3904]) ).

thf(4136,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV409 @ SV537 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3915]) ).

thf(4138,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV670: $i,SV622: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV622 @ SV670 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3916]) ).

thf(4139,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV646: $i,SV566: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV566 @ SV646 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3917]) ).

thf(4148,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV674: $i,SV626: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV626 @ SV674 ) )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3924]) ).

thf(4152,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV650: $i,SV570: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV570 @ SV650 )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3928]) ).

thf(4166,plain,
    ! [SV95: $i,SV72: $i,SV15: $i > $i > $o,SV14: $i,SV486: $i,SV360: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV360 @ SV486 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3942]) ).

thf(4168,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV654: $i,SV574: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV574 @ SV654 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3944]) ).

thf(4176,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV658: $i,SV578: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV578 @ SV658 )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3952]) ).

thf(4188,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV370 @ SV496 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3964]) ).

thf(4204,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV374 @ SV500 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3980]) ).

thf(4220,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV378 @ SV504 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3996]) ).

thf(4236,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV382 @ SV508 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4012]) ).

thf(4252,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV386 @ SV512 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4028]) ).

thf(4268,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV390 @ SV516 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4044]) ).

thf(4284,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV394 @ SV520 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4060]) ).

thf(4302,plain,
    ! [SV111: $i,SV80: $i,SV15: $i > $i > $o,SV14: $i,SV524: $i,SV398: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV398 @ SV524 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4080]) ).

thf(4304,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV662: $i,SV614: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV614 @ SV662 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4082]) ).

thf(4312,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV666: $i,SV618: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV618 @ SV666 ) )
        = $false )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4092]) ).

thf(4324,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV686: $i] :
      ( ( ( ~ ~ ! [SY461: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV686 @ SY461 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4110]) ).

thf(4342,plain,
    ! [SV115: $i,SV82: $i,SV15: $i > $i > $o,SV14: $i,SV537: $i,SV409: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV409 @ SV537 )
        = $true )
      | ( $true = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4136]) ).

thf(4344,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV670: $i,SV622: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV622 @ SV670 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4138]) ).

thf(4352,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV674: $i,SV626: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV626 @ SV674 ) )
        = $false )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4148]) ).

thf(4364,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV702: $i] :
      ( ( ( ~ ~ ! [SY477: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV702 @ SY477 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4166]) ).

thf(4382,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4302]) ).

thf(4384,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV662: $i,SV614: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV614 @ SV662 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4304]) ).

thf(4392,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV666: $i,SV618: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV618 @ SV666 )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4312]) ).

thf(4404,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV686: $i] :
      ( ( ( ~ ! [SY461: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV686 @ SY461 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4324]) ).

thf(4422,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4342]) ).

thf(4424,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV670: $i,SV622: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV622 @ SV670 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4344]) ).

thf(4432,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV674: $i,SV626: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV626 @ SV674 )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4352]) ).

thf(4444,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV702: $i] :
      ( ( ( ~ ! [SY477: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV702 @ SY477 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4364]) ).

thf(4460,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV718: $i] :
      ( ( ( ~ ~ ! [SY493: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV718 @ SY493 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4382]) ).

thf(4476,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV686: $i] :
      ( ( ( ! [SY461: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV686 @ SY461 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4404]) ).

thf(4492,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV734: $i] :
      ( ( ( ~ ~ ! [SY509: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV734 @ SY509 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4422]) ).

thf(4508,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV702: $i] :
      ( ( ( ! [SY477: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV702 @ SY477 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4444]) ).

thf(4524,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV718: $i] :
      ( ( ( ~ ! [SY493: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV718 @ SY493 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4460]) ).

thf(4540,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV750: $i,SV686: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV686 @ SV750 ) )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4476]) ).

thf(4556,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV734: $i] :
      ( ( ( ~ ! [SY509: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV734 @ SY509 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4492]) ).

thf(4572,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV766: $i,SV702: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV702 @ SV766 ) )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4508]) ).

thf(4588,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV718: $i] :
      ( ( ( ! [SY493: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV718 @ SY493 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4524]) ).

thf(4604,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV750: $i,SV686: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV686 @ SV750 ) )
        = $false )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4540]) ).

thf(4620,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV734: $i] :
      ( ( ( ! [SY509: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV734 @ SY509 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4556]) ).

thf(4636,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV766: $i,SV702: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV702 @ SV766 ) )
        = $false )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4572]) ).

thf(4652,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV782: $i,SV718: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV718 @ SV782 ) )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4588]) ).

thf(4668,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV750: $i,SV686: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV686 @ SV750 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4604]) ).

thf(4684,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV798: $i,SV734: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV734 @ SV798 ) )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4620]) ).

thf(4700,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV766: $i,SV702: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV702 @ SV766 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4636]) ).

thf(4716,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV782: $i,SV718: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV718 @ SV782 ) )
        = $false )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4652]) ).

thf(4732,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV798: $i,SV734: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV734 @ SV798 ) )
        = $false )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4684]) ).

thf(4748,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV782: $i,SV718: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV718 @ SV782 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4716]) ).

thf(4764,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV798: $i,SV734: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV734 @ SV798 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( $true = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4732]) ).

thf(4770,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV370 @ SV496 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4188]) ).

thf(4771,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV496: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 @ SV496 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3167]) ).

thf(4772,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV370: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV370 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2801]) ).

thf(4773,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV73 @ SV97 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2444]) ).

thf(4774,plain,
    ! [SV97: $i,SV73: $i,SV15: $i > $i > $o,SV14: $i,SV263: $i,SV216: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV216 @ SV263 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 @ SV97 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3172]) ).

thf(4775,plain,
    ! [SV73: $i,SV15: $i > $i > $o,SV14: $i,SV217: $i,SV160: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV160 @ SV217 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2808]) ).

thf(4776,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV161: $i,SV119: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV119 @ SV161 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2452]) ).

thf(4777,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK45_SV40 @ SV15 ) @ ( sK72_SV51 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1452]) ).

thf(4778,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK15_SV18 @ SV13 ) @ ( sK30_SV29 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1205]) ).

thf(4779,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV374 @ SV500 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4204]) ).

thf(4780,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV500: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 @ SV500 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3179]) ).

thf(4781,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV374: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV374 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2815]) ).

thf(4782,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV74 @ SV99 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2459]) ).

thf(4783,plain,
    ! [SV99: $i,SV74: $i,SV15: $i > $i > $o,SV14: $i,SV264: $i,SV218: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV218 @ SV264 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 @ SV99 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3184]) ).

thf(4784,plain,
    ! [SV74: $i,SV15: $i > $i > $o,SV14: $i,SV219: $i,SV162: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV162 @ SV219 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV74 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2822]) ).

thf(4785,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV163: $i,SV120: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV120 @ SV163 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2467]) ).

thf(4786,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK46_SV41 @ SV15 ) @ ( sK73_SV52 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1457]) ).

thf(4787,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK16_SV19 @ SV13 ) @ ( sK31_SV30 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1210]) ).

thf(4788,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV378 @ SV504 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4220]) ).

thf(4789,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV504: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 @ SV504 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3191]) ).

thf(4790,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV378: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV378 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2829]) ).

thf(4791,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV75 @ SV101 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2474]) ).

thf(4792,plain,
    ! [SV101: $i,SV75: $i,SV15: $i > $i > $o,SV14: $i,SV265: $i,SV220: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV220 @ SV265 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 @ SV101 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3196]) ).

thf(4793,plain,
    ! [SV75: $i,SV15: $i > $i > $o,SV14: $i,SV221: $i,SV164: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV164 @ SV221 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV75 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2836]) ).

thf(4794,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV165: $i,SV121: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV121 @ SV165 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2482]) ).

thf(4795,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK47_SV42 @ SV15 ) @ ( sK74_SV53 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1462]) ).

thf(4796,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK17_SV20 @ SV13 ) @ ( sK32_SV31 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1215]) ).

thf(4797,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV382 @ SV508 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4236]) ).

thf(4798,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV508: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 @ SV508 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3203]) ).

thf(4799,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV382: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV382 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2843]) ).

thf(4800,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV76 @ SV103 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2489]) ).

thf(4801,plain,
    ! [SV103: $i,SV76: $i,SV15: $i > $i > $o,SV14: $i,SV266: $i,SV222: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV222 @ SV266 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 @ SV103 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3208]) ).

thf(4802,plain,
    ! [SV76: $i,SV15: $i > $i > $o,SV14: $i,SV223: $i,SV166: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV166 @ SV223 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV76 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2850]) ).

thf(4803,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV167: $i,SV122: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV122 @ SV167 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2497]) ).

thf(4804,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK48_SV43 @ SV15 ) @ ( sK75_SV54 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1467]) ).

thf(4805,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK18_SV21 @ SV13 ) @ ( sK33_SV32 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1220]) ).

thf(4806,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV386 @ SV512 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4252]) ).

thf(4807,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV512: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 @ SV512 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3215]) ).

thf(4808,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV386: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV386 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2857]) ).

thf(4809,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV77 @ SV105 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2504]) ).

thf(4810,plain,
    ! [SV105: $i,SV77: $i,SV15: $i > $i > $o,SV14: $i,SV267: $i,SV224: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV224 @ SV267 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 @ SV105 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3220]) ).

thf(4811,plain,
    ! [SV77: $i,SV15: $i > $i > $o,SV14: $i,SV225: $i,SV168: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV168 @ SV225 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV77 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2864]) ).

thf(4812,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV169: $i,SV123: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV123 @ SV169 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2512]) ).

thf(4813,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK49_SV44 @ SV15 ) @ ( sK76_SV55 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1472]) ).

thf(4814,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK19_SV22 @ SV13 ) @ ( sK34_SV33 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1225]) ).

thf(4815,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV390 @ SV516 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4268]) ).

thf(4816,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV516: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 @ SV516 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3227]) ).

thf(4817,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV390: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV390 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2871]) ).

thf(4818,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV78 @ SV107 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2519]) ).

thf(4819,plain,
    ! [SV107: $i,SV78: $i,SV15: $i > $i > $o,SV14: $i,SV268: $i,SV226: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV226 @ SV268 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 @ SV107 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3232]) ).

thf(4820,plain,
    ! [SV78: $i,SV15: $i > $i > $o,SV14: $i,SV227: $i,SV170: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV170 @ SV227 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV78 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2878]) ).

thf(4821,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV171: $i,SV124: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV124 @ SV171 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2527]) ).

thf(4822,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK50_SV45 @ SV15 ) @ ( sK77_SV56 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1477]) ).

thf(4823,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK20_SV23 @ SV13 ) @ ( sK35_SV34 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1230]) ).

thf(4824,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV394 @ SV520 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[4284]) ).

thf(4825,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV520: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 @ SV520 )
          = $true )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3239]) ).

thf(4826,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV394: $i,SV13: $i > $i > $o] :
      ( ( ( ( SV13 @ SV394 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2885]) ).

thf(4827,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV79 @ SV109 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2534]) ).

thf(4828,plain,
    ! [SV109: $i,SV79: $i,SV15: $i > $i > $o,SV14: $i,SV269: $i,SV228: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV228 @ SV269 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 @ SV109 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3244]) ).

thf(4829,plain,
    ! [SV79: $i,SV15: $i > $i > $o,SV14: $i,SV229: $i,SV172: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV172 @ SV229 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV15 @ SV79 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2892]) ).

thf(4830,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV173: $i,SV125: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV125 @ SV173 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2542]) ).

thf(4831,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK51_SV46 @ SV15 ) @ ( sK78_SV57 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1482]) ).

thf(4832,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK21_SV24 @ SV13 ) @ ( sK36_SV35 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1235]) ).

thf(4833,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV782: $i,SV718: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV718 @ SV782 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV398 @ SV524 )
        = $true ) ),
    inference(sim,[status(thm)],[4748]) ).

thf(4834,plain,
    ! [SV524: $i,SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV662: $i,SV614: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV614 @ SV662 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 @ SV524 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4384]) ).

thf(4835,plain,
    ! [SV398: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV630: $i,SV550: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV550 @ SV630 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV398 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[4083]) ).

thf(4836,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV582: $i,SV451: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV451 @ SV582 )
        = $true )
      | ( ( SV15 @ SV80 @ SV111 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3704]) ).

thf(4837,plain,
    ! [SV270: $i,SV230: $i,SV13: $i > $i > $o,SV14: $i,SV111: $i,SV80: $i,SV15: $i > $i > $o,SV666: $i,SV618: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV618 @ SV666 )
        = $true )
      | ( ( ( SV15 @ SV80 @ SV111 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV230 @ SV270 )
        = $true ) ),
    inference(sim,[status(thm)],[4392]) ).

thf(4838,plain,
    ! [SV231: $i,SV174: $i,SV13: $i > $i > $o,SV14: $i,SV80: $i,SV15: $i > $i > $o,SV634: $i,SV554: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV554 @ SV634 )
        = $true )
      | ( ( ( SV15 @ SV80 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV174 @ SV231 )
        = $true ) ),
    inference(sim,[status(thm)],[4096]) ).

thf(4839,plain,
    ! [SV175: $i,SV126: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV586: $i,SV456: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV456 @ SV586 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV126 @ SV175 )
        = $true ) ),
    inference(sim,[status(thm)],[3720]) ).

thf(4840,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK141_SX0 @ SV15 ) @ ( sK149_SY214 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK52_SV47 @ SV15 ) @ ( sK81_SV58 @ SV15 ) )
        = $false ) ),
    inference(sim,[status(thm)],[2230]) ).

thf(4841,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK127_SX0 @ SV13 ) @ ( sK142_SY167 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK22_SV25 @ SV13 ) @ ( sK37_SV36 @ SV13 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1853]) ).

thf(4842,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK132_SX0 @ SV15 ) @ ( sK146_SY183 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK38_SV37 @ SV15 ) @ ( sK64_SV49 @ SV15 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1980]) ).

thf(4843,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV13 ) @ ( sK133_SY150 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK11_SV16 @ SV13 ) @ ( sK25_SV27 @ SV13 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1657]) ).

thf(4844,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV750: $i,SV686: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV686 @ SV750 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV343 @ SV462 )
        = $true ) ),
    inference(sim,[status(thm)],[4668]) ).

thf(4845,plain,
    ! [SV462: $i,SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV638: $i,SV558: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV558 @ SV638 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 @ SV462 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4112]) ).

thf(4846,plain,
    ! [SV343: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV590: $i,SV463: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV463 @ SV590 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV343 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3733]) ).

thf(4847,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV529: $i,SV344: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV344 @ SV529 )
        = $true )
      | ( ( SV15 @ SV70 @ SV92 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3428]) ).

thf(4848,plain,
    ! [SV253: $i,SV202: $i,SV13: $i > $i > $o,SV14: $i,SV92: $i,SV70: $i,SV15: $i > $i > $o,SV642: $i,SV562: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV562 @ SV642 )
        = $true )
      | ( ( ( SV15 @ SV70 @ SV92 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV202 @ SV253 )
        = $true ) ),
    inference(sim,[status(thm)],[4120]) ).

thf(4849,plain,
    ! [SV204: $i,SV149: $i,SV13: $i > $i > $o,SV14: $i,SV70: $i,SV15: $i > $i > $o,SV594: $i,SV468: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV468 @ SV594 )
        = $true )
      | ( ( ( SV15 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV149 @ SV204 )
        = $true ) ),
    inference(sim,[status(thm)],[3744]) ).

thf(4850,plain,
    ! [SV151: $i,SV113: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV533: $i,SV349: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV349 @ SV533 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV113 @ SV151 )
        = $true ) ),
    inference(sim,[status(thm)],[3443]) ).

thf(4851,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV798: $i,SV734: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV734 @ SV798 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV409 @ SV537 )
        = $true ) ),
    inference(sim,[status(thm)],[4764]) ).

thf(4852,plain,
    ! [SV537: $i,SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV670: $i,SV622: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV622 @ SV670 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 @ SV537 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4424]) ).

thf(4853,plain,
    ! [SV409: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV646: $i,SV566: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV566 @ SV646 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV409 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[4139]) ).

thf(4854,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV598: $i,SV475: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV475 @ SV598 )
        = $true )
      | ( ( SV15 @ SV82 @ SV115 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3760]) ).

thf(4855,plain,
    ! [SV276: $i,SV236: $i,SV13: $i > $i > $o,SV14: $i,SV115: $i,SV82: $i,SV15: $i > $i > $o,SV674: $i,SV626: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV626 @ SV674 )
        = $true )
      | ( ( ( SV15 @ SV82 @ SV115 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV236 @ SV276 )
        = $true ) ),
    inference(sim,[status(thm)],[4432]) ).

thf(4856,plain,
    ! [SV237: $i,SV179: $i,SV13: $i > $i > $o,SV14: $i,SV82: $i,SV15: $i > $i > $o,SV650: $i,SV570: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV570 @ SV650 )
        = $true )
      | ( ( ( SV15 @ SV82 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV179 @ SV237 )
        = $true ) ),
    inference(sim,[status(thm)],[4152]) ).

thf(4857,plain,
    ! [SV180: $i,SV129: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV602: $i,SV480: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV480 @ SV602 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV129 @ SV180 )
        = $true ) ),
    inference(sim,[status(thm)],[3776]) ).

thf(4858,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK143_SX0 @ SV15 ) @ ( sK150_SY217 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK57_SV48 @ SV15 ) @ ( sK86_SV59 @ SV15 ) )
        = $false ) ),
    inference(sim,[status(thm)],[2264]) ).

thf(4859,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK128_SX0 @ SV13 ) @ ( sK144_SY171 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK23_SV26 @ SV13 ) @ ( sK41_SV38 @ SV13 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1883]) ).

thf(4860,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV15 ) @ ( sK148_SY187 @ SV15 ) )
        = $false )
      | ( ( SV15 @ ( sK42_SV39 @ SV15 ) @ ( sK69_SV50 @ SV15 ) )
        = $false ) ),
    inference(sim,[status(thm)],[2013]) ).

thf(4861,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK118_SX0 @ SV13 ) @ ( sK138_SY154 @ SV13 ) )
        = $false )
      | ( ( SV13 @ ( sK13_SV17 @ SV13 ) @ ( sK28_SV28 @ SV13 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1683]) ).

thf(4862,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV766: $i,SV702: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV702 @ SV766 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV360 @ SV486 )
        = $true ) ),
    inference(sim,[status(thm)],[4700]) ).

thf(4863,plain,
    ! [SV486: $i,SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV654: $i,SV574: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV574 @ SV654 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 @ SV486 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4168]) ).

thf(4864,plain,
    ! [SV360: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV606: $i,SV487: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV487 @ SV606 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV13 @ SV360 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3789]) ).

thf(4865,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV542: $i,SV361: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV361 @ SV542 )
        = $true )
      | ( ( SV15 @ SV72 @ SV95 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3485]) ).

thf(4866,plain,
    ! [SV260: $i,SV211: $i,SV13: $i > $i > $o,SV14: $i,SV95: $i,SV72: $i,SV15: $i > $i > $o,SV658: $i,SV578: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV578 @ SV658 )
        = $true )
      | ( ( ( SV15 @ SV72 @ SV95 )
          = $true )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV211 @ SV260 )
        = $true ) ),
    inference(sim,[status(thm)],[4176]) ).

thf(4867,plain,
    ! [SV213: $i,SV156: $i,SV13: $i > $i > $o,SV14: $i,SV72: $i,SV15: $i > $i > $o,SV610: $i,SV492: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV492 @ SV610 )
        = $true )
      | ( ( ( SV15 @ SV72 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV156 @ SV213 )
        = $true ) ),
    inference(sim,[status(thm)],[3800]) ).

thf(4868,plain,
    ! [SV158: $i,SV117: $i,SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o,SV546: $i,SV366: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV366 @ SV546 )
        = $true )
      | ( ( SV15
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV117 @ SV158 )
        = $true ) ),
    inference(sim,[status(thm)],[3500]) ).

thf(4869,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(rename,[status(thm)],[323]) ).

thf(4870,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ! [SX0: $i] :
                  ~ ~ ! [SX1: $i] :
                        ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,293]) ).

thf(4871,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ! [SX0: $i] :
                  ~ ~ ! [SX1: $i] :
                        ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,293]) ).

thf(4872,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ! [SX0: $i] :
                  ~ ~ ! [SX1: $i] :
                        ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,292]) ).

thf(4873,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ! [SX0: $i] :
                  ~ ~ ! [SX1: $i] :
                        ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,292]) ).

thf(4898,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,278]) ).

thf(4899,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,278]) ).

thf(4900,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,277]) ).

thf(4901,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,277]) ).

thf(4910,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,272]) ).

thf(4911,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,272]) ).

thf(4912,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,268]) ).

thf(4913,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,268]) ).

thf(4914,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,262]) ).

thf(4915,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,262]) ).

thf(4916,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,260]) ).

thf(4917,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,260]) ).

thf(4918,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,258]) ).

thf(4919,plain,
    ! [SV804: $o,SV805: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ SV804 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV805 @ ~ SV804 )
        = $false ) ),
    inference(res,[status(thm)],[4869,258]) ).

thf(4921,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4919:[bind(SV804,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4922,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4918:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4923,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4918:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4924,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4917:[bind(SV804,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4925,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4916:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4926,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4916:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4927,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4915:[bind(SV804,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4928,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4914:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4929,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4914:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4930,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4913:[bind(SV804,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4931,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4912:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4932,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4912:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4933,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4911:[bind(SV804,$thf( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4934,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4910:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4935,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4910:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4936,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4901:[bind(SV804,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4937,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4900:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4938,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4900:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4939,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[4899:[bind(SV804,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4940,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[4898:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4941,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[4898:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4942,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $false ),
    inference(extuni,[status(esa)],[4873:[bind(SV804,$thf( ~ ( ! [SX0: $i] : ~ ( ~ ( ! [SX1: $i] : ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) ) ) )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4943,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $false ),
    inference(extuni,[status(esa)],[4872:[bind(SV804,$thf( ! [SX0: $i] : ~ ( ~ ( ! [SX1: $i] : ~ ( ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) ) )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4944,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4872:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4945,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[4872:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4946,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $false ),
    inference(extuni,[status(esa)],[4871:[bind(SV804,$thf( ~ ( ! [SX0: $i] : ~ ( ~ ( ! [SX1: $i] : ~ ( ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) ) ) )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4947,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $false ),
    inference(extuni,[status(esa)],[4870:[bind(SV804,$thf( ! [SX0: $i] : ~ ( ~ ( ! [SX1: $i] : ~ ( ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) ) )),bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4948,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4870:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4949,plain,
    ! [SV804: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ SV804 ) = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[4870:[bind(SV805,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(4950,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4923]) ).

thf(4951,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4922]) ).

thf(4952,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4926]) ).

thf(4953,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4925]) ).

thf(4954,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4929]) ).

thf(4955,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4928]) ).

thf(4956,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4932]) ).

thf(4957,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4931]) ).

thf(4958,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4935]) ).

thf(4959,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4934]) ).

thf(4960,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4938]) ).

thf(4961,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4937]) ).

thf(4962,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4941]) ).

thf(4963,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4940]) ).

thf(4964,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4945]) ).

thf(4965,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4944]) ).

thf(4966,plain,
    ! [SV804: $o] :
      ( ( SV804 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4949]) ).

thf(4967,plain,
    ! [SV804: $o] :
      ( ( SV804 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4948]) ).

thf(4968,plain,
    ! [SV804: $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4964]) ).

thf(4969,plain,
    ! [SV804: $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4965]) ).

thf(4970,plain,
    ! [SV804: $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4966]) ).

thf(4971,plain,
    ! [SV804: $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4967]) ).

thf(4972,plain,
    ! [SV804: $o,SV806: $i] :
      ( ( ( ~ ~ ! [SY515: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV806 @ SY515 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4968]) ).

thf(4973,plain,
    ! [SV804: $o] :
      ( ( ( ~ ~ ! [SY516: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ SY516 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4969]) ).

thf(4974,plain,
    ! [SV804: $o,SV807: $i] :
      ( ( ( ~ ~ ! [SY517: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV807 @ SY517 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4970]) ).

thf(4975,plain,
    ! [SV804: $o] :
      ( ( ( ~ ~ ! [SY518: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ SY518 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4971]) ).

thf(4976,plain,
    ! [SV804: $o,SV806: $i] :
      ( ( ( ~ ! [SY515: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV806 @ SY515 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4972]) ).

thf(4977,plain,
    ! [SV804: $o] :
      ( ( ( ~ ! [SY516: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ SY516 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4973]) ).

thf(4978,plain,
    ! [SV804: $o,SV807: $i] :
      ( ( ( ~ ! [SY517: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV807 @ SY517 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4974]) ).

thf(4979,plain,
    ! [SV804: $o] :
      ( ( ( ~ ! [SY518: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ SY518 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4975]) ).

thf(4980,plain,
    ! [SV804: $o,SV806: $i] :
      ( ( ( ! [SY515: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV806 @ SY515 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4976]) ).

thf(4981,plain,
    ! [SV804: $o] :
      ( ( ( ! [SY516: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ SY516 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4977]) ).

thf(4982,plain,
    ! [SV804: $o,SV807: $i] :
      ( ( ( ! [SY517: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV807 @ SY517 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4978]) ).

thf(4983,plain,
    ! [SV804: $o] :
      ( ( ( ! [SY518: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ SY518 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4979]) ).

thf(4984,plain,
    ! [SV804: $o,SV808: $i,SV806: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV806 @ SV808 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4980]) ).

thf(4985,plain,
    ! [SV804: $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ ( sK153_SY516 @ SV804 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4981]) ).

thf(4986,plain,
    ! [SV804: $o,SV809: $i,SV807: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV807 @ SV809 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4982]) ).

thf(4987,plain,
    ! [SV804: $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ ( sK154_SY518 @ SV804 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4983]) ).

thf(4988,plain,
    ! [SV804: $o,SV808: $i,SV806: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV806 @ SV808 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4984]) ).

thf(4989,plain,
    ! [SV804: $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ ( sK153_SY516 @ SV804 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4985]) ).

thf(4990,plain,
    ! [SV804: $o,SV809: $i,SV807: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV807 @ SV809 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4986]) ).

thf(4991,plain,
    ! [SV804: $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ ( sK154_SY518 @ SV804 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4987]) ).

thf(4992,plain,
    ! [SV804: $o,SV808: $i,SV806: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV806 @ SV808 )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4988]) ).

thf(4993,plain,
    ! [SV804: $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK151_SX0 @ SV804 ) @ ( sK153_SY516 @ SV804 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4989]) ).

thf(4994,plain,
    ! [SV804: $o,SV809: $i,SV807: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV807 @ SV809 )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4990]) ).

thf(4995,plain,
    ! [SV804: $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK152_SX0 @ SV804 ) @ ( sK154_SY518 @ SV804 ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV804 )
        = $false )
      | ( SV804 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4991]) ).

thf(4996,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,293]) ).

thf(4997,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,292]) ).

thf(5010,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,278]) ).

thf(5011,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,277]) ).

thf(5016,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,272]) ).

thf(5017,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,268]) ).

thf(5018,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,262]) ).

thf(5019,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[4921,260]) ).

thf(5023,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5019]) ).

thf(5024,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5019]) ).

thf(5025,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5018]) ).

thf(5026,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5018]) ).

thf(5027,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5017]) ).

thf(5028,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5017]) ).

thf(5029,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5016]) ).

thf(5030,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5016]) ).

thf(5031,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5011]) ).

thf(5032,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5011]) ).

thf(5033,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[5010]) ).

thf(5034,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[5010]) ).

thf(5035,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extuni,[status(esa)],[4997]) ).

thf(5036,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[4997]) ).

thf(5037,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extuni,[status(esa)],[4997]) ).

thf(5038,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[4997]) ).

thf(5039,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extuni,[status(esa)],[4996]) ).

thf(5040,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[4996]) ).

thf(5041,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extuni,[status(esa)],[4996]) ).

thf(5042,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[4996]) ).

thf(5045,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5024]) ).

thf(5046,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5023]) ).

thf(5047,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5026]) ).

thf(5048,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5025]) ).

thf(5049,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5028]) ).

thf(5050,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5027]) ).

thf(5051,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5030]) ).

thf(5052,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5029]) ).

thf(5053,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5032]) ).

thf(5054,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5031]) ).

thf(5055,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5034]) ).

thf(5056,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5033]) ).

thf(5057,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5038]) ).

thf(5058,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5037]) ).

thf(5059,plain,
    ( ( ( ~ ~ ! [SY519: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ sK155_SX0 @ SY519 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5036]) ).

thf(5060,plain,
    ! [SV810: $i] :
      ( ( ( ~ ~ ! [SY520: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV810 @ SY520 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5035]) ).

thf(5061,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5042]) ).

thf(5062,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5041]) ).

thf(5063,plain,
    ( ( ( ~ ~ ! [SY521: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ sK156_SX0 @ SY521 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5040]) ).

thf(5064,plain,
    ! [SV811: $i] :
      ( ( ( ~ ~ ! [SY522: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV811 @ SY522 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5039]) ).

thf(5065,plain,
    ( ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5057]) ).

thf(5066,plain,
    ( ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5058]) ).

thf(5067,plain,
    ( ( ( ~ ! [SY519: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ sK155_SX0 @ SY519 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5059]) ).

thf(5068,plain,
    ! [SV810: $i] :
      ( ( ( ~ ! [SY520: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV810 @ SY520 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5060]) ).

thf(5069,plain,
    ( ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5061]) ).

thf(5070,plain,
    ( ( ( ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5062]) ).

thf(5071,plain,
    ( ( ( ~ ! [SY521: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ sK156_SX0 @ SY521 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5063]) ).

thf(5072,plain,
    ! [SV811: $i] :
      ( ( ( ~ ! [SY522: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV811 @ SY522 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5064]) ).

thf(5073,plain,
    ! [SV812: $i] :
      ( ( ( ~ ~ ! [SY523: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV812 @ SY523 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5065]) ).

thf(5074,plain,
    ( ( ( ~ ~ ! [SY524: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ sK157_SX0 @ SY524 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5066]) ).

thf(5075,plain,
    ( ( ( ! [SY519: $i] :
            ~ ~ ( parent_THFTYPE_IiioI @ sK155_SX0 @ SY519 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5067]) ).

thf(5076,plain,
    ! [SV810: $i] :
      ( ( ( ! [SY520: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV810 @ SY520 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5068]) ).

thf(5077,plain,
    ! [SV813: $i] :
      ( ( ( ~ ~ ! [SY525: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV813 @ SY525 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5069]) ).

thf(5078,plain,
    ( ( ( ~ ~ ! [SY526: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ sK158_SX0 @ SY526 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5070]) ).

thf(5079,plain,
    ( ( ( ! [SY521: $i] :
            ~ ~ ( likes_THFTYPE_IiioI @ sK156_SX0 @ SY521 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5071]) ).

thf(5080,plain,
    ! [SV811: $i] :
      ( ( ( ! [SY522: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV811 @ SY522 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5072]) ).

thf(5081,plain,
    ! [SV812: $i] :
      ( ( ( ~ ! [SY523: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV812 @ SY523 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5073]) ).

thf(5082,plain,
    ( ( ( ~ ! [SY524: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ sK157_SX0 @ SY524 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5074]) ).

thf(5083,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ sK155_SX0 @ sK159_SY519 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5075]) ).

thf(5084,plain,
    ! [SV814: $i,SV810: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV810 @ SV814 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5076]) ).

thf(5085,plain,
    ! [SV813: $i] :
      ( ( ( ~ ! [SY525: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV813 @ SY525 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5077]) ).

thf(5086,plain,
    ( ( ( ~ ! [SY526: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ sK158_SX0 @ SY526 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5078]) ).

thf(5087,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ sK156_SX0 @ sK160_SY521 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5079]) ).

thf(5088,plain,
    ! [SV815: $i,SV811: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV811 @ SV815 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5080]) ).

thf(5089,plain,
    ! [SV812: $i] :
      ( ( ( ! [SY523: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV812 @ SY523 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5081]) ).

thf(5090,plain,
    ( ( ( ! [SY524: $i] :
            ~ ~ ( parent_THFTYPE_IiioI @ sK157_SX0 @ SY524 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5082]) ).

thf(5091,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ sK155_SX0 @ sK159_SY519 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5083]) ).

thf(5092,plain,
    ! [SV814: $i,SV810: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV810 @ SV814 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5084]) ).

thf(5093,plain,
    ! [SV813: $i] :
      ( ( ( ! [SY525: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV813 @ SY525 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5085]) ).

thf(5094,plain,
    ( ( ( ! [SY526: $i] :
            ~ ~ ( likes_THFTYPE_IiioI @ sK158_SX0 @ SY526 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5086]) ).

thf(5095,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ sK156_SX0 @ sK160_SY521 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5087]) ).

thf(5096,plain,
    ! [SV815: $i,SV811: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV811 @ SV815 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5088]) ).

thf(5097,plain,
    ! [SV816: $i,SV812: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV812 @ SV816 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5089]) ).

thf(5098,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ sK157_SX0 @ sK161_SY524 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5090]) ).

thf(5099,plain,
    ( ( ( parent_THFTYPE_IiioI @ sK155_SX0 @ sK159_SY519 )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5091]) ).

thf(5100,plain,
    ! [SV814: $i,SV810: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV810 @ SV814 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5092]) ).

thf(5101,plain,
    ! [SV817: $i,SV813: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV813 @ SV817 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5093]) ).

thf(5102,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ sK158_SX0 @ sK162_SY526 ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5094]) ).

thf(5103,plain,
    ( ( ( likes_THFTYPE_IiioI @ sK156_SX0 @ sK160_SY521 )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5095]) ).

thf(5104,plain,
    ! [SV815: $i,SV811: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV811 @ SV815 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5096]) ).

thf(5105,plain,
    ! [SV816: $i,SV812: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV812 @ SV816 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5097]) ).

thf(5106,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ sK157_SX0 @ sK161_SY524 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5098]) ).

thf(5107,plain,
    ! [SV817: $i,SV813: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV813 @ SV817 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5101]) ).

thf(5108,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ sK158_SX0 @ sK162_SY526 ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5102]) ).

thf(5109,plain,
    ! [SV816: $i,SV812: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV812 @ SV816 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5105]) ).

thf(5110,plain,
    ( ( ( parent_THFTYPE_IiioI @ sK157_SX0 @ sK161_SY524 )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5106]) ).

thf(5111,plain,
    ! [SV817: $i,SV813: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV813 @ SV817 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5107]) ).

thf(5112,plain,
    ( ( ( likes_THFTYPE_IiioI @ sK158_SX0 @ sK162_SY526 )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5108]) ).

thf(5113,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[258,5112,5111,5110,5109,5104,5103,5100,5099,5056,5055,5054,5053,5052,5051,5050,5049,5048,5047,5046,5045,4995,4994,4993,4992,4963,4962,4961,4960,4959,4958,4957,4956,4955,4954,4953,4952,4951,4950,4947,4946,4943,4942,4939,4936,4933,4930,4927,4924,4921,4869,4868,4867,4866,4865,4864,4863,4862,4861,4860,4859,4858,4857,4856,4855,4854,4853,4852,4851,4850,4849,4848,4847,4846,4845,4844,4843,4842,4841,4840,4839,4838,4837,4836,4835,4834,4833,4832,4831,4830,4829,4828,4827,4826,4825,4824,4823,4822,4821,4820,4819,4818,4817,4816,4815,4814,4813,4812,4811,4810,4809,4808,4807,4806,4805,4804,4803,4802,4801,4800,4799,4798,4797,4796,4795,4794,4793,4792,4791,4790,4789,4788,4787,4786,4785,4784,4783,4782,4781,4780,4779,4778,4777,4776,4775,4774,4773,4772,4771,4770,3465,3408,3153,3128,3123,3097,3072,3067,2791,2786,2770,2765,2759,2742,2737,2721,2716,2710,2438,2433,2429,2417,2411,2398,2393,2389,2377,2371,2210,2201,2192,2183,2174,2165,2156,2150,2146,2133,2117,2113,2100,1961,1959,1952,1950,1943,1941,1934,1932,1925,1923,1916,1914,1907,1905,1899,1869,1750,1748,1746,1742,1740,1738,1734,1732,1730,1726,1724,1722,1718,1716,1714,1710,1708,1706,1702,1700,1698,1678,1652,1570,1568,1564,1562,1558,1556,1552,1550,1546,1544,1540,1538,1534,1532,1519,1514,1496,1491,1437,1430,1429,1414,1407,1406,1400,1395,1390,1385,1380,1375,1370,1360,1353,1337,1330,1282,1275,1274,1273,1257,1250,1249,1248,1195,1170,1113,1102,1088,1077,1063,1058,1053,1048,1043,1038,1033,957,935,912,907,902,897,892,887,882,839,836,835,833,830,829,827,824,823,821,818,817,815,812,811,809,806,805,803,800,799,762,756,750,744,738,732,726,693,688,683,678,673,668,663,588,583,578,573,568,563,558,379,378,377,376,334,333,332,325,324,293,292,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,268,262,260]) ).

thf(5114,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[5113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR132^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Tue Oct  6 18:55:01 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.66/4.42  .
% 25.66/4.42  
% 25.66/4.42   No.of.Axioms: 217
% 25.66/4.42  
% 25.66/4.42   Length.of.Defs: 0
% 25.66/4.42  
% 25.66/4.42   Contains.Choice.Funs: false
% 25.66/4.42  ....................................................................................
% 25.66/4.42  
% 25.66/4.42  ********************************
% 25.66/4.42  *   All subproblems solved!    *
% 25.66/4.42  ********************************
% 25.66/4.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:33,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:5113,loop_count:35,foatp_calls:5,translation:fof_experiment)
% 25.66/4.42  
% 25.66/4.42  %**** Beginning of derivation protocol ****
% 25.66/4.42  % SZS output start CNFRefutation
% See solution above
% 25.66/4.44  
% 25.66/4.44  %**** End of derivation protocol ****
% 25.66/4.44  %**** no. of clauses in derivation: 2612 ****
% 25.66/4.44  %**** clause counter: 5113 ****
% 25.66/4.44  
% 25.66/4.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:33,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:5113,loop_count:35,foatp_calls:5,translation:fof_experiment)
%------------------------------------------------------------------------------